NUMERICAL ANALYSIS edited by Gene H. Golub and Joseph Oliger Lecture Notes from the Short Course sponsored by the AMS, Atlanta, january 3-4, 1978
This is the collection of texts prepared by the lec corporate the classical notions and realistic costs turers of the Numerical Analysis Short Course of producing the desired result. The discussion of given at the A. M.S. meeting in Atlanta, Georgia in good vs. best approximation is an example. More January 1978. Computational linear algebra, opti· attention is being given to providing not only an mization and the solution of nonlinear equations, answer, but a computed guarantee that it is a good the approximation of functions and functionals, answer-or a poor one. Easily computed and sharp and approximations for initial and boundary value a posteriori estimates are needed. The discussion problems for ordinary and partial differential equa of estimates of condition numbers is an example. tions are discussed. Methods such as the QR fac There is progress being made in algorithm design torization, singular value decomposition, quasi based on operator splittings which allow one to Newton and secant methods, finite difference, fi· take advantage of being able to solve simpler sub nite element and collocation methods are included problems very efficiently. Updating strategies for in these discussions. · optimization and splitting methods for differential equations are examples. The subject matter was chosen to emphasize prom inent research areas and attitudes in numerical These texts should be useful to the practicing users analysis. These are introductory lectures on the of numerical methods, programmers, scientists, subject matter for presentation to an audience of and engineers who would like to know what prog· scientists from other areas or disciplines. Typically, ress is being made on the theoretical and develop there Is an introduction to a given problem area mental side of the subject. They should be useful and to techniques used, an application to applied to numerical analysts to review progress in areas problems, and a discussion of current research other than their own, and to mathematicians in questions or directions. general who would like to understand what the concerns of numerical analysts are. The teXts Several trends in modern numerical analysis are should be useful for the development of seminars discussed in these lectures. There has always been and reading courses in the academic environment. the quest to find the best way to do things. More Many will probably find the bibliographies of cUt· realistic notions of "best" are evolving which in- rent work most useful.
THE LECTURERS AND TITLES CLEVE MOLER, Three Research Problems in Numerical Linear Algebra J. E. DENNIS, J R., A Brief Introduction to Quasi-Newton Methods CARL De BOOR, The Approximation of Functions and Linear Functionals: Best vs. Good Approximation JAMES M. VARAH, Numerical Methods for the Solution of Ordinary Differential Equations JOSEPH E. OLIGER, Methods for Time Dependent Partial Differential Equations GEORGE J. FIX, Variational Methods for Elliptic Boundary Value Problems
Publication: November 1978, iv + 135 pages Hard Cover: List $14.00, AMS Member $10.50. CODE: PSAPM/22 Soft Cover: List $10.00, Individual $7.50. CODE: PSAPMS/22
ORDERS MUST BE PREPAID, PLEASE SPECIFY CODE American Mathematical Society, P. 0. Box 1 571 , Annex Station Providence, Rl 02901 OF THE AMERICAN MATHEMATICAL SOCIETY
Ed Dubinsky, Rob ion C. Kirby, EDITORIAL COMMITTEE Arthur P. Mattuck, Barbara L. Osofsky, George Piranian, Everett Pitcher (Chairman), Scott W. Williams
MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITOR Hans Samelson
CONTENTS December, 1978
STATEMENT, Committee on Employment and Educational Policy ...... • 522
ASSISTANTSHIPS and FELLOWSHIPS in the MATHEMATICAL SCIENCES in 1979-1980
FOREWORD .... 523
I. GRADUATE STUDY AT UNIVERSITIES. 525
Departments with Graduate Programs 525 Departments Accepting Critical, Historical or Expository Theses for Doctoral Degrees 583
II. STIPENDS FOR STUDY AND TRAVEL 585
Graduate Support . . . . 585 Postdoctoral Support . . 588 Travel and Study Abroad 595 Study in U. S. for Foreign Nationals 589 Sources of Fellowship Information 600
INDEX OF ABSTRACTS, Volume 25 A-737
INDEX, Volume 25 . . . A-772
SUBSCRIPTION INFORMATION: c}/otiai) of the American Mathematical Society is published eight times a year (January, February, April, June, August, October, November •. and December). Subscription prices for Volume 26 (1979) are $19.00 list, $9.50 member. The subscription price for members is included in the annual dues. Subscriptions and orders for AMS publications should be addressed to the American Mathematical Society, P. 0. Box 1571, Annex Station, Providence, R. 1. 02901. All orders must be accompanied by payment. OTHER CORRESPONDENCE with the Society should be sent to the Society at P. 0. Box 6248, Providence, R.I. 02940. Please affix one of the peel off labels from copies of the c}/otiai) to any correspondence with the Society. Second class postage paid at Providence, Rhode Island, and additional mailing offices. U.S. Postal Service Publication Number: 398520. Copyright© 1978 by the American Mathematical Society Printed in the United States of America Current and prospective graduate students in mathe matics and their advisors should be aware of employment prospects in the profession. Historically, the vast majority of Ph. D. mathematicians have pursued academic careers. In recent years, new Ph. D.'s in mathematics have typically had difficulty in finding academic employment. This is particularly true for those who studied "pure" mathematics. Because many departments are close to being fully tenured, it has become increasingly common for young mathemati cians to find themselves looking for jobs again a few years after receiving their degrees. These nonretained Ph. D. 's often have great difficulty trying to find a second academic position. Careful studies made under the auspices of the AMS Committee on Employment and Educational Policy indicate that for a number of years to come, the number of openings for traditional academic employment in mathe matics will be considerably smaller that the rate at which Ph. D.'s in pure mathematics are currently entering the job market. Talented young people should not be discouraged from becoming mathematicians. Some academic positions will, of course, become available every year. In addition, there are career opportunities for mathematicians outside of the traditional academic environment. However, im portant career decisions should be based on a realistic assessment of employment prospects. More information will be found in the following articles: "Future Job Pros pects for Ph. D. 's in the Mathematical Sciences" by Wendell Fleming, these cifoticeD, December, 1975; "21st Annual AMS Survey, First Report," these cJ{oticei), October, 1977; "21st Annual AMS Survey, Second Report," these c)loticeD, February, 1978; and "22nd Annual AMS Survey, First Report," these c){oticeD, October, 1978. Committee on Employment and Educational Policy Lida K. Barrett Hugo Rossi Alan J. Goldman Martha K. Smith Arthur P. Mattuck Robert J. Thompson FOREWORD
The December issue of the cNOtictiJ regularly contains an extensive report on de partments with graduate programs in the mathematical sciences. This report customarily includes data on the number of degrees awarded, and information on support available for graduate students through fellowships and assistantships. Beginning with the 1978 issue, the information about departments has been aug mented in two ways over that given in earlier years. Just below the deadline for applications, the number of full-time faculty members in the department is reported, as well as the number of those who have published a mathematical paper or book within the past three years. (These data extend the reports formerly published in the Mathematical Association of America's Guidebook to Depart ments in the Mathematical Sciences, which ceased publication following the 1975 edi tion.) This information was added to the listings at the request of the Data Subcom mittee of the Society's Committee on Employment and Educational Policy (CEEP) in the belief that current figures on faculty size and mathematical publication may be useful to prospective graduate students. Another recommendation of the CEEP Data Subcommittee was that this issue of the cNOtiaiJ contain a list of the departments which accept critical, historical, or ex pository theses for doctoral degrees in addition to, or in place of, the more traditional re search theses. This list appears on page 583, following the list of assistantships and fel lowships. Both of these lists are arranged in alphabetical order by states, followed by a listing of Canadian departments. A postal strike in Canada appears to be at least partially responsible for the fact that fewer Canadian departments are listed than in past issues of this report. Further in formation on Canadian departments may be anticipated in the supplement to be pub lished in the February 1979 issue of the cNOtictiJ. In addition to information for graduate students supplied by departments, this issue contains information on support for graduate study available from other sources, and information on support of postdoctoral study and research available from a variety of sources. The fmal part of this issue contains, as usual, the annual index of abstracts of papers presented to the Society, as well as an index of the other material published in the CJ/otiai) during 1978. LKD
523 NEW AMS PUBLICATIONS
PROCEEDINGS OF SYMPOSIA work, as well as in the present volume, the authors have IN PURE MATHEMATICS attempted to carry out this idea. In particular, reexami (ISSN 0082-0717) nation of the investigations of Kahn, Liibenstein and Rohn from this viewpoint has proved fruitful. ALGEBRAIC AND GEOMETRIC TOPOLOGY The present volume contains the solution of the edited by R. James Milgram classical problem concerning the location of ovals of a The American Mathematical Society held its 24th nonsingular sextic curve. Moreover, substantial results Summer Research Institute at Stanford University on about the topology of a nonsingular fourth order surface August 2-21, 1976. The topic of the meeting was Alge are also presented. It also proved convenient to establish braic and Geometric Topology. Particular emphasis was certain theorems about nonsingular algebraic curves and placed on Algebraic K- and £-Theory, Surgery and surfaces of arbitrary order. Surgery Classifying Spaces, Group Actions on Mani The method employed in the investigation of the folds, and 3 and 4 Manifold Theory. location of ovals of sixth order curves can also be applied The topics in Part I are: Algebraic K- and £ to study the mutual disposition of the following: a curve Theory; Surgery and its Applications; Group Actions. of order five and a line; nonsingular curves of orders two Included in Part 2 are: Structure of Topological and four; and a pair of cubic curves. Manifolds; Low Dimensional Manifolds; Geometry of It would be interesting to determine whether a Differential Manifolds and Algebraic Varieties; H fourth order surface can consist of II pieces and/or have Spaces, Loop Spaces, and CW Complexes; Problems. rank 13. There are examples, due to Rohn and Hilbert Among the contributors are S. Cappel!, P. Conner, respectively, of a fourth order surface consisting of ten A. Hatcher, W. C. Hsiang, R. Kirby, R. Lashof, J. P. ovals and of a surface of rank 12. Lin, I. Madsen, J. P. May, R. J. Milgram, R. Oliver, Volume 112 T. Petri, J. Stallings, J. Wagoner, F. Waldhausen and 176 pages C. T. C. Wall. List price $27 .60; member price $20.70 These are for the most part reports of research in ISBN 0-8218-3062-7: LC 78-10201 the area of algebraic topology and the overall effect is Publication date: November 15, 1978 an overview of the subject at this time. To order, please specify TRANS2/112 Volume XXXII, Parts I , 2 420 pages (Part I); 322 pages (Part 2) MATHEMATICAL SURVEYS Each part: List price $25.60;member price $19.20 (ISSN 0076-5376) Set: List price $46.40; member price $34.80 SYMPLECTIC GROUPS Part 1: ISBN 0-8218-1432-X; LC 78-14304 0. T. O'Meara Part 2: ISBN 0-8218-1433-8; LC 78-14304 Publication Date: October 15, 1978 This volume, the sequel to the author's Lectures on Linear Groups, To order, please specify PSPUM/32 is the definitive work on the isomorphism theory of symplectic groups over integral domains. Re cently discovered geometric methods which are both AMS TRANSLATIONS-SERIES 2 conceptually simple and powerful in their generality are (ISSN 0065-9290) applied to the symplectic groups for the first time. There is NINE PAPERS ON a complete description of the isomorphisms of the HILBERT'S 16TH PROBLEM ~ymplectic groups and their congruence subgroups over D. A. Gudkov and G. A. Utkin mtegral domains. Illustrative is the theorem PSpn(o)"" PSpn fOJ}~n=n ando~ol for dimensions;;,:4. The new The study of the topology of real algebraic curves 1 1 geometric approach used in the book is instrumental in in the plane and surfaces in space is a classical problem ~xtending the theory from subgroups of PSpn(n2:6) where in algebraic geometry. In his 16th problem, Hilbert 1t was known to subgroups of PrSpn(n;;,:4) where it is singled out the case of nonsingular algebraic curves and new. There are extensive investigations and several new surfaces. It is known that in studying the location of results on the exceptional behavior of PrSp4 in charac ovals of nonsingular curves difficulties are first encoun teristic 2. tered with sixth order curves. Similarly, in the study of The author starts essentially from scratch (even the the number, shape and location of pieces of nonsingular classical simplicity theorems for PSpn(F) are proved) and surfaces the difficulties begin with fourth order surfaces. the reader need be familiar with no more than a first Both cases were cited by Hilbert; but their investigation course in algebra. by Hilbert's pupils. Grete Kahn and Klara Uibenstein, Volume 16 and by Karl Rohn did not yield substantial results. I .G. 128 pages Petrovskil showed that a sixth order curve cannot consist List price $22.80; member price $17.1 0 of eleven ovals located outside one another. Furthermore, ISBN 0-8218-1516-4; LC 78-19101 I. G. Petrovskil and 0. A. Olelnik proved that a fourth Publication date: August 31, 1978 order surface which consists entirely of ovals can contain To order, please specify SURV/16 at most ten ovals. The idea of applying the concepts of roughness and Prepayment required: A.M.S., P.O. Box 1571, degree of nonroughness to the study of algebraic curves was conceived by A. A. Andronov in 1948. In previous Annex Station. Providence, RI 02901
524 ASSISTANTSHIPS AND FELLOWSHIPS IN THE MATHEMATICAL SCIENCES IN 1979-1980
The list of assistantships and fellowships at universities includes 411 departments of mathematics, ap plied mathematics, statistics, computer science, and related mathematical disciplines; these represent 310 colleges and universities. Institutions in the United States are listed alphabetically by state, followed by Canadian institutions.
Abbreviations used in the section on graduate study Under the DEGREES AWARDED column the following terms have been used: Bachelor's by inst•••••••.•••. Number of bachelor's degrees awarded by the institution Bachelor's by dept, ••••.••••.• Number of bachelor's degrees awarded by the department Master's by dept ...... Number of master's degrees awarded by the department Ph.D. (1975-1978 incl.) ••••••• Doctoral degrees awarded during the last three years (1975-1976, 1976-1977' and 1977-1978) A&NT .•.••...••.•••••••.••.. Algebra and Number Theory Geometry and Topology G&TL ...... •••••••••••••••••••••••• . Logic A&FA .•••••.•••••••••••••••• Analysis and Functional Analysis P ...... Probability s ...... Statistics cs ...... Computer Science OR ...... Operations Research AM ...... Applied Mathematics ME ...... Mathematics Education Under the SERVICE REQUIRED column, hours per week section: c ...... Contact hours
I. Graduate Study at Universities
TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 if not Included hours type Academic year (with number anticipated 1979--1980) in dollars months in stipend ( dollan) per week of service 1977-1978
ALABAMA Alabama State University, Montgomery 36101 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 448 Wallace Maryland, Jr. , Chairman Faculty 13; Published 4 Bachelor's by dept. 6 Teaching Assistantship (5) 2075.40 9 145/qtr. 15 Master's by dept. 3
Auburn University, Auburn 36830 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 3218 Ben Fitzpatrick, Jr., Head Faculty 39; Published 29 Bachelor's by dept. 14 Master's by dept. 6 Teaching Assistantship (35) 3420-4050 9 600 ** University Fellowship (1) 2000 9 600 Ph. D. (1975-1978 incl.) *Assistantship: 3/10/79; Fellowship: 3/15/79, A&NT 7, G&T 3, A&FA 1, **Five contact hours or thirteen hours if not teaching. AM 1. Total: 12
University of Alabama in Huntsville 35807 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79* Bachelor's by inst. 410 F. Lee Cook, Chairman Faculty 13; Published 6 Bachelor's by dept. 16 Master's by dept. Teaching Assistantship (6) 3600-4544 9 4c 8 *Late applications considered if positions are still available.
525 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anistance amount 9 or 12 If not Included houn type Academic year (with number anticipated 1979-1980) in dollars months In stipend (dollars) per week of service 19n-197B
University of Alabama (Tuscaloosa), University 35486 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 2481 C. Hobby, Chairman Faculty 27; Published 14 Bachelor's by dept. 22 Master's by dept. 4 Fellowship (3) 9 Teaching Assistantship (22) 3100-3700 9 20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (1) 9 A&NT 4, G&T 24, AM 2. Total: 30
ALASKA University of Alaska, Fairbanks 99701 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 17.7 Tom Head, Chairman Faculty 12; Published 5 Bachelor• s by dept. 4 Teaching Assistantship (2 or 3) 5364-5628 9 15
ARIZONA
Arizona State University, Tempe 85281 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 4294 Harvey A. Smith, Chair Faculty 42; Published 25 Bachelor's by dept. 21 Master's by dept. 13 Teaching Assistantship (42) 4050-5400 9 .275/sem. 6c Teaching Ph.D. (1975-1978 incl.) A&FA 1, P 1, AM 1, ME 1. Total: 4
Northern Arizona U Diversity, Flagstatr 86011 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 1200 Richard D. Meyer, Chairman Faculty 24; Published 5 Bachelor's by dept. 25 MaSter's by dept. 8 Teaching Assistantship (4) 3700 9 250/sem. 13 Teaching University of Arizona, Tucson 85721 DEPARTMENT OF APPLIED MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 3358 R.E. O'Malley, Jr., Chairman Faculty 30; Published 30 Fellowship {2) varies 9 275/sem. Teaching Fellowship (2) varies 9 275/sem. 3 Teaching Assistantship (10) varies 9 275/sem. 6 Research Assistantship (15) varies 9 275/sem. varies DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 3358 Theodore Laetsch, Head Faculty 47; Published 35 Bachelor's by dept. 27 Master's by dept. 4 Teaching Assistantship (27) 4000-4800 9 275 6c Teaching Ph.D. (1975-1978 incl.) A&NT 2, G&T 1, A&FA 1, P 1, AM 1. Total: 6 ARKANSAS Arkansas State University, State Uni'l'ersity 72467 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 4/1/79 Bachelor's by inst. 800 J. L. Linnstaedtsr, Chairman Faculty 18; Published 6 Bachelor's by dept. 20 Master's by dept. 5 Teaching Assistantship (8) 2925 9 * 3 Teaching *$460 for 9 months, out-of-state tuition waived.
University of Arkansas, Fayette'l'ille 72701 DEPARTMENT OF MATHEMATICS A:Nil STATISTICS Applications due: 3/15/79 Bachelor's by inst. 1384 James E. Scroggs, Chairman Faculty 22; Published 13 Bachelor's by dept. 8 Master's by dept. 11 Teaching Assistantship (36) 3400-3700 9 6c Ph.D. (1975-1978 incl.) G&T 2, AM 1. Total: 3 University of Arkansas for Medical Sciences, Little Rock 72201 DEPARTMENT OF BIOMETRY Applications due: 7/15/79 Master's by dept. 1 Robert C. Walls, Head Faculty 5; Published 4 Research Assistantship (2) 3800-4200 12 20 Research
526 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial aulstance amount 9 or 12 If not Included hours typa Aca.mic year (with numberantlclpatecl1979-1990) in dollars months in stipend (dollars) per week ofHrvice 1977-1978
CALIFORNIA California Institute of Technology, Pasadena 91125 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 168 W.A.J. Luxemburg, Executive Officer Faculty 22; Published 22 Bachelor's by dept. 10 Master's by dept. 1 Fellowship (4) 3900-4900 12 Teaching Assistantship (18) 3875-4640 9 4c Teaching Ph.D. (1975-1978 incl.) Research Assistantship (2) 3690 9 Research A&NT 4, L 1, A&FA 1. Total: 6
California Polytechnic State University, San Luis Obispo 93407 DEPARTMENT OF COMPUTER SCIENCE AND STATISTICS Applications due: 3/30/79 Bachelor's by inst. 2570 Emile E. Attala, Head Faculty 25; Published 8 Bachelor's by dept. 55 Master's by dept. 20 Teaching Assistantship (6) 2600 9 4 Teaching DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 2570 C,J. Hanks, Head Faculty 47; Published 5 Bachelor's by dept. 33 Master's by dept. 8 Graduate Assistantship (2) 1786 9 * 10c Tutoring Part-time Assistant Instructor (8) 2172-2376 9 * 3c Teaching *Registration fee $66-$76; nonresident pays $38 per quarter unit, maximum of $570.
California State University, Chico 95929 DEPARTMENT OF COMPUTER SCIENCE Applications due: 7/1/79 Bachelor's by inst. 1500 Orlando Madrigal, Chairman Faculty 14 Bachelor• s by dept. 70 Master's by dept. 6 Teaching Assistantship (15) 2400 9 * 10 Teaching *Out-of-state: $52 per unit. California State University, Fresno 93740 DEPARTMENT OF MATHEMATICS Applications due: 6/79 Bachelor's by inst. 2807 N.C. Harbertson, Chairman Faculty 18; Published 4 Bachelor's by dept. 20 Master's by dept. 1 Teaching Assistantship (4-6) 2200-3900 9 12-20
California State University, Fullerton 92634 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by dept. 27 Michael H. Clapp, Chairman Faculty 25; Published 15 Teaching Fellowship (4-6) 3500-7000 9 85-100 4 Teaching
California State University, Long Beach 90840 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 4364 Arthur Gittleman, Chairman Faculty 39 Bachelor's by dept. 40 Master's by dept. 7 Teaching Assistantship (25) 4344 9 6c
California State University, Los Angeles 90032 DEPARTMENT OF MATHEMATICS Applications due: 7/15/79 Donald I. Kiel, Chair Faculty 28; Published 17 Teaching Assistantship (10) 3860-5280 12 70/qtr. 4-6c Teaching
California State University, Northridge 91330 DEPARTMENT OF MATHEMATICS Applications due: 8/1/79 Bachelor's by inst. 3200 Tung-Po Lin, Chairman Faculty 33; Published 5 Bachelor's by dept. 25 Master's by dept. 1 Teaching Assistantship (10) 4800-5370 10 85 6 Teaching 20 Paper grading, tutoring California State University, Sacramento 95819 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 2800 Robert L. Alves, Acting Chair Faculty 36; Published 4 Bachelor's by dept. 24 Master's by dept. 1 Teaching Assistantship (2-4) 1086** 9 1086/sem. 3 Graduate Assistantship (4) 3600 9 100/sem. 20 Lab *Two weeks prior to beginning of semester. **For a three unit class.
527 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academicy•r (with number antlcipatecl1979-1980) in dollars months in stipend (dollars} per week of service 1977-1978
Oaremont Graduate School, Claremont 91711 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Master's by dept. 7 Faculty 9 Robert c. James, Chairman Ph.D. (1975-1978 incl.) Fellowship (10) 1400-2400 9 A&NT 2, A&FA 2, AM 2. Tuition Waivers (10) Total: 6 Loyola Marymount University, Los Angeles 90045 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 560 W. Scott Wright, Chairman Faculty 12; Published 6 Bachelor's by dept. 5 Master's by dept. 2 Scholarship (2) 150-300 9 83/hr. San Diego State University, San Diego 92182 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 4808 E. I. Deaton, Chairman Faculty 47; Published 28 Bachelor's by dept. 65 Master's by dept. 13 Teaching Assistantship (25) 4350-5000 9 85/sem. 6 Teaching San Jose State University, San Jose 95192 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 3600 _John Mitchem, Chairman Faculty 43; Published 16 Bachelor's by dept. 64 Master's by dept. 13 Teaching Fellowship (10-12) 2700-5400 9 97 /sem. * 3-6c Teaching *Nonresidents and foreign students pay an additional $57 per unit. Stanford University, Stanford 94305 DEPARTMENT OF MATHEMATICS Applications due: 1/79 Bachelor's by inst. 1648 Robert Osserman, Chairman Faculty 26; Published 22 Bachelor's by dept. 27 Master's by dept. 19 Graduate Assistantship (40)* 3020-3510 9 ** Ph.D. (1975-1978 incl.) *Graduate Assistants serve for one quarter as Teaching Fellows, A&NT 1, G&T 6, L 2, for one quarter as Course Assistants, and for one quarter as A&FA 13, CS 1, AM 1, Research Assistants. other 4. Total: 28 **3 contact hrs./week teaching for one quarter; 6 contact hrs./week assisting for one quarter and one quarter research witb no formal duties.
DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/79 Bachelor's by inst. 1648 Donald L. Iglehart, Acting Chairman Faculty 8; Published 8 Master's by dept. 71 Fellowship (8) 2800-3200 9 Ph.D. (1975-1978 incl.) Teaching Assistantship (3) 3600-4000 9 * 10-20 Teaching OR 27. Total: 27 Research Assistantship (28) 3600-4000 9 * 10-20 Research *9 units paid.
CLAREMONT GRADUATE SCHOOL The Ph.D. program allows spPCialization in applied mathematics, funrtional analysis, applied probability, topology, and other areas. The ki.A. programs in applied mathematics, scientific computing, and statistirs/opr-rations researc-h aT<' designed to provide training and ex prrirnre on whkh one can base a rareer. Practiral e-xperienre is an important part of earh program and is accomplished through the .llathematics Clinic, •which provides work on substantial problems from industry. For students interested in industrial employment, this experienrt· has prow·d to be far more relevant than that of a teaching a.M~istant. Our alumni with Clinic l"Xperienre have obtained excellent positions. An article, "An Innovative Approarh to Realism within an Academk Environment" by Jerome Spanier (Amer. Math Monthly, Drc 1976), d£>srribrs this real-world C'omponent of applied mathernatkR training in Claremont. A substantial numhl:"r ·of tuition waivers ( a:bout $3200) are available along with fellowship support. especially in the M.A. program. A low studt•nt-faculty ratio permits the faculty to provide close attention to the partirular needs and progress of each student. Resources include a Vf'I')' good library and romputer facilities. Claremont has a desert rlimate, but is 20 miles from ski slopes and 40 miles from the beach. For information write to: Mathematics Department Claremont Graduate School, Claremont, California 91711
528 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 if not included houn typo Academic year (with number anticipated 1979-1980) in dollars months in stipend (doll an) per week of service 1977-1978
University of California, Berkeley 94720 DEPARTMENT OF MATHEMATICS Applications due:* Master's by dept. 32 S. Kobayashi, Chairman Ph.D. (1975-1978 incl.) Fellowship (44) 500- 9 263.50- A&NT 10, G&T 27, L 8, 5695.50 929. 50/qtr. A&FA 28, P 5,' OR 2, CS 1, Teaching Assistantship (96) 5298- 9 263.50- 16 Teaching AM 30, Other 1. Total: 112 5382 929. 50/qtr. Research Assistantship (28) 4248- 9 263.50- 4284 929. 50/qtr. *Fellowship: 12/1/78; Assistantship: 2/1/79. University of California, Davis 95616 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by inst. 2914 D.G. Mead, Chairman Faculty 35; Published 31 Bachelor's by dept. 34 Master's by dept. 10 Fellowship (2) 3200 9 Teaching Assistantship (23) 5382 9 20 Teaching Ph. D. (1975-1978 incl.) Associateship (2) 5430 9 20 Teaching A&NT 2, G&T 2, A&FA 1, Community Teaching S 1. Total: 6 Fellowship (5) 5382 9 20 Teaching Remedial Teaching (5)* Reading Assignments (5)* *Stipend and hours vary with extent of duties. University of California, Los Angeles 90024 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 4258 T. W. Gamelin, Chair Faculty 60; Published 55 Bachelor's by dept. 162 Master's by dep~. 24 Fellowship (11) 3450-5855 9 Teaching Fellowship (12) 5382-6300 9 750- 7c Teaching Ph.D. (1975-1978 incl.) 2655* A&NT 14, L 1, A& FA 4, Teaching Assistantship (50) 5382-6300 9 750- 7c Teaching P 2, S 1, AM 7, Other 2. 2655* Total: 31 Community Teaching Fellowship (4) 5382 9 750- Teaching 2655 *A certain number of waivers of the nonresident tuition ($1905) are available. DEPARTMENT OF SYSTEM SCIENCE Applications due: 12/15/78 Bachelor's by inst. 4258 J. W. Carlyle, Chairman Faculty 17; Published 17 Master's by dept. 17 Fellowship (2) 2700-3000 9 3810 Ph. D. (1975-1978 incl.) Teaching Assistantship (2) 5382-5940* 9 5c Teaching OR 7, CS 1, AM 19. Research Assistantship (6) 5.43-6.24** 12 20 max. Research Total: 27 Nonresident Tuition Waiver (2) 3810 9 *50% time. **Rates per hour.
UNIVERSITY OF CALIFORNIA -BERKELEY DEPARTMENT OF MATHEMATICS At least one tenure track faculty position anticipated, pending budgetary approval, effective Fall1979 (rank to be determined by qualifications), in the areas of algebra, analysis, applied mathematics, foundations, or geometry. Applicants should have demonstrated potential in research and teaching. Send by January 1 S, 1979, curriculum vitae, list of publications, and a few selected reprints or preprints. Also ask three people to send letters of recommendation to: Professor Robin Hartshorne -Vice Chairman for Faculty Appointments Department of Mathematics University of California, Berkeley Berkeley, California 94720 The University of California is an Affirmative Action Employer.
529 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftnandal assistance amount 9 or 12 If not included hours lypa Academic y•r (with number anticipated 1979-1980) in dollars months in stipend (dollars) per w-lc. ofMrvice 19n-197B
University of California, San Diego, La Jolla 92093 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by inst. 1256 Burton Rodin, Chairman Faculty 43; Pul?lished 43 Bachelor's by dept. 32 Master's by dept. 18 Fellowship (4) 5400-5600 9 Teaching Assistantship (45) 5400-5600 9 3 or 4 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (5) 6 500-68 00 11 * A&NT 1, G&T 4, A&FA 3, Scholarship (20)** * P 2, S 1, CS 1, AM 4, Other 3. Total: 19 *In 1978-79 all graduate students (resident and nonresident) pay per quarter $255. Nonresident graduate students pay per quarter $635 tuition in addition to the above $255. **Fees and/or Tuition.
University of California~ Santa Barbara 93106 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by inst. 2918 · Cliarles A. Akemann, Chairman FaCility 39; Published 39 Bachelor's by dept. 29 Master's by dept. 8 Fellowship (3) 3360 9 * Teaching Assistantship (33) 5650 9 6c Teaching Ph. D. (1975-1978 incl.) Research Assistantship (2) 5650 9 15 Research A&NT 5, G&T 1, A&FA 2. Community Teaching Total: 8 Fellowship (4) 5650 9 6c Teaching *$1905 for all out-of-state students only.
University of California, Santa Cruz 95064 DEPARTMENT OF INFORMATION SCIENCES Applications due: 1/15/79 Master's by dept. 4 H.D. Huskey, Chairman Faculty 8; Published 8 Ph. D. (1975-1978 incl.) Fellowship (1) 4127 9 Other 1. Total: 1 Teaching Assistantship (8) 5382 9 * 20 Research Assistantship (1) 4266 9 * 20 *Nonresident pays per quarter: $635 tuition, $275.50 fees.
GRADUATE MATHEMATICS AT LA JOLLA, CALIFORNIA PROGRAMS: M.S. and Ph.D. degrees are offered in all major fields of pure mathematics, probability, statistics and numerical analysis. Masters Delf'ee PrOJf'am in Applied Mathematics: a special one to two year course of study in applied and computational mathematics. FINANCIAL AID: Regents Fellowships (approximately $400 per month for 9 months plus fees) Research Assistantships (approximately $472 per month) Teaching Assistantships (approximately $598 per month for 9 months) •san Diego Fellowship (approximately $400 per month plus fees)
Department of Mathematics UNIVERSITY OF CALIFORNIA, SAN DIEGO La Jolla, California 92093 *For educationally disadvantaged students.
UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Graduate study in this department can lead to a Masters degree in pure or applied mathematics or the Doctor of Philosophy in mathematics. Emphasis areas in computer science and statistics are available at both the Master's and Doctoral level. The Mathematics faculty is actively involved in research in the areas of functional analysis, classical analysis, algebra, linear and multilinear algebra, number theory, geometry, topoiogy, probability and statistics, computer science, applied mathematics. Assistantships and Fellowships (to $5700) are available for the 1979-80 year. This beautiful seaside campus is within one of the world's largest cultural and research centers. Write to Graduate Committee Chairperson, Dept. of Mathematics, Univ. of Calif., Santa Barbara 93106. PuMua.nt :to Fe.de!Uli a.nd S:tat:e. LaW4, UCSB i6 a.n equal appai!J:.w!li.y/a.f,f,. 530 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial a11ittance amount 9 or 12 If not Included houn type Academic year (with number anliclpatod 1979-1980) In dollars months in stipend (dollars) per WHk of service 1977-1978 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by dept, 21 Gerhard Ringel, Chairman Faculty 15; Published 15 Master's by dept. 1 Fellowship (1) 2000 6 Ph.D. (1975-1978 incl.) Teaching Assistantship (12) 5382 9 800 20 A&NT 2, G&T 1, L 2, California Teaching other 1. Total: 6 Fellowship (2) 5382 9 800 20 COLORADO Colorado School of Mines, Golden 80401 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 288 Ardel J. Boes, Head Faculty 15; Published 8 Bachelor's by dept. 7 Master's by dept. 2 Teaching Assistantship (5) 3733-4733 9 12-18 Teaching Research Assistantship (2) 3733-4733 9-12 12-18 Research Colorado State University, Fort Collins 80523 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 2675 Robert E, Gaines, Head Faculty 33; Published 28 Bachelor's by dept. 12 Master's by dept, 14 Scholarship (1) Teaching Assistantship (35) 4000-4360 9 205 15 Teaching Ph, D. (1975-1978 incl.) Research Assistantship (3) 4000-4360 9-12 205 15-20 Research A&NT 2, G&T 1, A&FA 1, other 3. Total: 7 DEPARTMENT OF STATISTICS Applications due: 3/14/79 Bachelor's by inst. 2675 James S. Williams, Chairman Faculty 14; Published 13 Bachelor's by dept. 5 Master's by dept. 8 Teaching Assistantship (8) 3780-3960 9 10-20 Teaching Research Assistantship (20) 3780-3960 9 10-20 Research Ph.D, (1975-1978 incl.) S 6, Total: 6 University of Colorado, Boulder 80309 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst, 3700 Wolfgang Schmidt, Chairman Faculty 45; Published 31 Bachelor's by dept. 83 Master's by dept, 17 Fellowship (3) 3500 9 Teaching Assistantship (55) 4040-5470 9 31/cr. 20 Teaching Ph. D. (1975-1978 incl.) A&NT 5, G&T 1, L 3, A&FA 6, P 1, AM 4, other 1. Total: 21 University of Denver, Denver 80210 DEPARTMENT OF STATISTICS AND OPERATIONS RESEARCH Applications due: 4/30/79 Bachelor's by dept, 3 Darl D. Bien, Chairman Faculty 11; Published 4 Master's by dept. 4 Teaching Assistantship (7) 2700* 9 20 Teaching and *Includes 10 hours tuition per quarter. assisting University of Northern Colorado, Greeley 80631 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Robert L. Heiny, Chairman Faculty 14; Published 4 Teaching Assistantship (7) 3600-4000 9 6c CONNECTICUT Central Connecticut State CoUege, New Britain 06050 DIVISION OF MATHEMATICS Applications due: 6/15/79 Bach13lor1s by inst. 1627 George B. Miller and Stephen A. Bacon, Chairmen Faculty 33; Published 8 Bachelor's by dept, 32 Master's by dept. 19 Teaching Assistantship (1) 2400 9 6c University of Connecticut, Storrs 06268 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 3242 Joseph Landin, Head Faculty 31; Published 17 Bachelor's by dept. 40 Master's by dept, 8 Fellowship (4) 3300 9 Thesis Fellowship (Varies) 3500 9 40* Ph.D. (1975-1978 incl.) Teaching Assistantship (16) 3840-4770 9 Waived 6-7c Teaching A&NT 1, L 1, AM 1. Lecturer (6) 4200-4900 9 6-7c Teaching Total: 3 Summer Fellowship (Varies) 1250 3 ** *In-state: $270 per semester; out-of-state: $615 per semester • Tuition remission may be obtained on basis of need. **Not waived but may be supplemented by fellowship. 531 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year {with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 DEPARTMENT OF STATISTICS Applications due: 3/15/79 Bachelor's by inst. 3242 Gottfried E. Noether, Head Faculty 9; Published 6 Bachelor's by dept. 15 Master's by dept. 7 Fellowship (2) 2000-2500 9 750 Teaching Fellowship (6) 3000-3500 9 5 Teaching Ph. D. (1975-1978 incl.) 10 Grading S 3. Total: 3 Teaching Assistantship (2) 3840-4770 9 5 Teaching 10 Grading Wesleyan University, Middletown 06457 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 560 William L. Reddy, Chairman Faculty 11; Published 11 Bachelor's by dept. 26 Master's by dept. 4 Teaching Assistantship (12) 3400 9 Waived 10 Assisting, research Ph.D. (1975-1978 incl.) Scholarship (15) A&NT 1. Total: 1 Summer Support (6) 800 3 10 Yale University, New Haven 06520 DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/20/79 Bachelor's by inst. 1137 Alan J. Perlis, Chairman Faculty 14; Published 14 Bachelor's by dept. 25 Master's by dept. 9 Fellowship (15) * 9 Teaching Fellowship (33) 820/sem. 5 12-15 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (20) 325/mo. 12 CS 14. Total: 14 IBM Fellowship (1) 325/mo. 12 *Minimum is tuition up to a maximum of $2500 plus tuition. DEPARTMENT OF MATHEMATICS Applications due: 1/20/79 Bachelor's by inst. 1137 Walter Feit, Chairman Faculty 25; Published 25 Bachelor's by dept. 27 Master's by dept. 8 Partial or full support available for all students. Ph. D. (1975-1978 incl.) A&NT 9, G&T 5, L 3, A&FA 4. Total: 21 DEPARTMENT OF STATISTICS Applications due: 1/20/79 Bachelor's by inst. 1137 I. Richard Savage, Chairman Faculty 5; Published 3 Master's by dept. 6 Fellowship (12) 900-2500 9 * Ph. D. (1975-1978 incl.) Research Assistantship (2) 2700 9 * 8"""9."" Total: 9 *Most students receive a tuition fellowship from the University; tuition is more than $5000 per academic year for the first 3 years. DELAWARE University of Delaware, Newark 19711 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/79 Bachelor's by inst. 2650 lvar Stakgold, Chairman Faculty 34; Published 31 Bachelor's by dept. 30 Master's by dept. 3 Fellowship (3) 4100* 9 9 Research Teaching Assistantship (30) 3850-4100 9 6c Teaching Ph. D. (1975-1978 incl.) Research Assistantship (2) 6050-6300* 9 9 Research A&NT 1, G&T 3, A&FA 4, ** S 1, AM 2. Total: 11 *Based on 1978-79 stipends. **Resident: $940; nonresident: $2200. WESLEY AN UNIVERSITY DEPARTMENT OF MATHEMATICS invites applications for graduate study toward the Ph. D. and M. A. degrees. Small classes, frequently in the form of seminars and tutorials, ensure individual attention. Wesleyan has excellent facilities for graduate students, an outstanding library and a location convenient to New York, New Haven and the Boston-Cambridge areas. Faculty includes: W.. W. Comfort, E. M. Coven, W. H. Gottschalk, A. W. Hager, D. Hoitsma, F.E.J. Linton, W. L. Reddy, J.D. Reid, L. C. Robertson, R. A. Rosenbaum, M. Turgi, C. S. Wood. Current Visitors (1978-79): G. A. Hedlund, M. Henriksen. Applications and inquiries should be addressed to CHAIRMAN, GRADUATE COMMITTEE- DEPARTMENT OF MATHEMATICS WESLEYAN UNIVERSITY, MIDDLETOWN, CONNECTICUT 06457 532 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979--1980) in dollars months in stipend (dollars) per week of seNice 1977-1978 DISTRICT OF COLUMBIA American University, Washington 20016 DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE Applications due: 3/31/79 Bachelor• s by inst. 2000 Mary Gray, Chair Faculty 22; Published 14 Bachelor's by dept. 30 Master's by dept. 17 Fellowship (2) 2900 9 Teaching Assistantship (12) 2900-5166 9 Ph. D. (1975-1978 incl.) A&NT 2, G&T 1, A&FA 2, S 17, AM 1. Total: 23 Catholic University of America, Washington 20064 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 510 John Welch, Chairman Faculty 9; Published 5 Bachelor's by dept. 8 Master's by dept. 8 Teaching Assistantship (4) 2400 9 Waived 3 George Washington University, Washington 20052 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 838 T. P, G. Liverman, Chairman Faculty 14; Published 6 Bachelor's by dept. 6 Teaching Fellowship (10) 1300-1450 9 18 sem. hrs. 6 Ph. D. (1975-1978 incl.) Teaching Assistantship (10) 2400-2900 9 18sem.hrs. 6 A&NT 2, A&FA 2, other 1. Total: 5 DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/79 Bachelor's by inst. 838 Donald Gross, Chairman Faculty 9; Published 9 Master's by dept. 32 Research Assistantship (4) 7500-9400 9-12 112/sem.hr. 20 Research Ph. D. (1975-1978 incl.) OR 13. Total: 13 DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by in st. 838 S. W. Greenhouse, Chairman Faculty 11; Published 4 Bachelor's by dept. 3 Master's by dept. 5 Teaching Fellowship (5) 1200-1275 9 9 Teaching Assistantship (5) 1800-2025 9 6 Ph. D. (1975-1978 incl.) S 9, Total: 9 Howard University, Washington 20059 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 929 James A. Donaldson, Chairman Faculty 25; Published 13 Bachelor's by dept. 2 Master's by dept. 1 Teaching Assistantship (6) 4493 10 FLORIDA Florida Atlantic University, Boca Raton 33431 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1368 Tomas P. Schonbek, Chairman Faculty 10; Published 8 Bachelor's by dept. 9 Master's by dept. 3 Teaching Assistantship (2) 2000-2700 9 * 4 Teaching *Resident: $22 per credit; nonresidents $62 per credit. Florida Institute of Technology, Melbourne 32901 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/19/79 Bachelor's by in st. 287 D.R. Clutterham, Head Faculty 11; Published 3 Bachelor's by dept. 19 Master's by dept. 25 Teaching Assistantship (6) 5684 12 5-7c Teaching Laboratory Assistantship (6) 2484 12 20 Lab assisting Florida State University, Tallahassee 32306 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 3826 c. W. McArthur, Chairman Faculty 37; Published 33 Bachelor's by dept. 34 Master's by dept. 6 Fellowship (6) 5000-5200 12 22/hr. Teaching Assistantship (18) 4200-4600 9 22/hr. 6c Ph.D. (1975-1978 incl.) Research Assistantship (2) 4200-4600 9 22/hr. A&NT 5, G&T 1, A&FA 4. Total: 10 DEPARTMENT OF STATISTICS Applications due: 2/1/79 Bachelor's by inst. 3826 Myles Hollander, Chairman Faculty 17; Published 3 Bachelor's by dept. 7 Master's by dept. 19 Fellowship (11) 3900-5000 12 Teaching Assistantship (12) 4500 12 22/cr. hr. 13 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (9) 4500 12 22/cr,hr. 13 Research P 5, S 7, OR 4. Total: 16 533 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 Florida Technological University, Orlando 32816 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 4/1/79 Bachelor's by inst. 1891 Joby Milo Anthony, Chairman Faculty 20; Published 10 Bachelor's by dept. 12 Master's by dept. 1 Teaching Assistantship (2) 3600 9 22/hr. 20 Teaching University of Florida, Gainesville 32611 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 4897 A.R. Bednarek, Chairman Faculty 45; Published 40 Bachelor's by dept. 31 Master's by dept. 6 Fellowship (3) 3120 9 * Teaching Assistantship (40) 3900-5400** 9 * Teaching Ph. D. (1975-1978 incl.) Research Assistantship (1) Research A&NT 1, G&T 1, AM 1, other 2. Total: 5 *$22 per credit hour for all graduate courses, except research hours. ** 1/2-time. DEPARTMENT OF STATISTICS Applications due: 3/15/79 Bachelor's by inst. 4897 R. L. Scheaffer, Chairman Faculty 19; Published 17 Bachelor's by dept. 9 Master's by dept, 7 Fellowship (2) 4400-5300 9 22/cr.hr, Teaching Assistantship (10) 3120-6825 9 22/cr,hr. 13-20 Teaching Ph. D. (1975-1978 incl.) Research Assistantship (18) 3120-6825 9 22/cr,hr. 13-20 Research S 5. Total: 5 University of Miami, Coral Gables 33124 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 752 Edward L. Reiss, Chairman Faculty 25; Published 17 Bachelor's by dept. 13 Master's by dept. 8 Fellowship (2) 2000-3500 9 Research Teaching Assistantship (21) 3300-3700 19 6 Teaching Ph.D. (1975-1978 incl.) A&NT 1, G&T 3. Total: 4 University of North Florida, Jacksonville 32216 DEPARTMENT OF MATHEMATICAL SCIENCES Bachelor's by inst. 1119 W. H. Caldwell, Chairman Faculty 12; Published 5 Bachelor's by dept, 8 Teaching Assistantship (2) 3000-3600 9 20 Teaching University of West Florida, Pensacola 32504 DEPARTMENT OF SYSTEMS SCIENCE Applications due: 5/30/79 Bachelor's by dept., 180 Jim Miller, Chairman Faculty 8; Published 3 Master's by dept, 1 Fellowship (2) 750 9 22/hr, Research Assistantship (2) 2048 9 22/hr. 15 GEORGIA Augusta College, Augusta 30904 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 6/1/79 Bachelor's by inst, 446 Jerry Sue Townsend, Chairman Faculty 12; Published 2 Bachelor's by dept. 1 Teaching Assistantship (1) 2400 9 5° Teaching Emory University, Atlanta 30322 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst, 558 Trevor Evans, Chairman Faculty 16; Published 13 Bachelor's by dept. 9 Master's by dept. 6 Teaching Assistantship (14) 3500 9 Waived 10 Teaching or assist Ph.D. (1975-1978 incl.) ing faculty A&NT 4, G&T 2, A&FA 4. member Total: 10 Georgia Institute of Technology, Atlanta 30332 DEPARTiviENT OF INFORiviATION AJ:'I'D C01v1PUTER SCIENCE Applications due: 2/1/79 Bachelor's by inst. 1336 HenryS. Valk, Acting Director Faculty 16; Published 9 Bachelor's by dept. 22 Master's by dept. 54 Fellowship (3) 5000 12 Teaching Assistantship (5) 4800 12 231. 50/qtr. 13 Teaching Ph.D, (1975-1978 incl.) Research Assistantship (8) 4800 12 231. 50/qtr. 13 Research CS 7. Total: 7 Scholarship (Georgia Regents) (3) 5000 12 231. 50/qtr .. Burroughs Corporation Research Assistantship (1) 4000 12 231. 50/qtr. 13 Research HEW Professional Opportunity Fellowship (3) 3900 12 534 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9or 12 if not included houn type Academic year (with number anticipated 1979--1980) in dollars months in stipend (dollars) per week of service 1977-1978 SCHOOL OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1336 Les A. Karlovitz, Director Faculty 52; Published 37 Bachelor's by dept. 10 Master's by dept. 9 Fellowship (1) 5000 12 Teaching Assistantship (35) 3780-4350* 9 231. 50/qtr. ** 4-5c Teaching Ph.D. (1975-1978 incl.) A&FA 2, AM 2. Total: 4 *Some increase expected for 1979-80. **Depends on credit hours taken. Amount listed is maximum. University of Georgia, Athens 30602 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 3861 J. C. Cantrell, Head Faculty 42 Bachelor's by dept. 22 Master's by dept. 10 Teaching Assistantship (10) 3550-5067 9 236/qtr. 12 Teaching Nonteaching Assistantship (6) 3550-3700 9 236/qtr. 12 Grading Ph.D. (1975-1978 incl.) G&T 3, A&FA 2, AM 2. Total: 7 DEPARTMENT OF STATISTICS AND COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 936 Carl F. Kossack, Head Faculty 9; Published 8 Bachelor's by dept. 75 Master's by dept. 23 Teaching Assistantship (9) 3798 9 15/hr. 13 Ph. D. (1975-1978 incl.) S 21. Total: 21 HAWAII University of Hawaii at Manoa, Honolulu 96822 DEPARTMENT OF INFORMATION AND COMPUTER SCIENCES Applications due: 3/1/79 Bachelor's by inst. 3077 W. Wesley Peterson, Chairman Faculty 8 Bachelor's by dept. 27 Master's by dept. 15 Teaching Assistantship (1) 4512-5040 9 20 Teaching, consulting Research Assistantship (3) 5592-5892 11 20 Research DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 3077 Jack Williamson, Chairman Faculty 40; Published 35 Bachelor's by dept. 42 Master's by dept. 3 Teaching Assistantship (11) 4512-5049 9 Exempt 3-4c Teaching Ph.D. (1975-1978 incl.) A&NT 1. Total 1 DEPARTMENT OF PUBUC HEALTH SCIENCES Applications due: 7/1/79 Master's by dept. 6 C. S. Chung, Director Faculty 4; Published 4 Teaching Assistantship (1) 4512-4700 9 20 Teaching IDAHO Boise State University, Boise 83725 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Master's by dept. 2 William P. Mech, Head Faculty 21; Published 4 Teaching Assistantship (1) 3001 9 6 Teaching Idaho State University, Pocatello 83209 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79* Bachelor's by inst. 841 W. Lyle Cook, Chairman Faculty 12; Published 6 Bachelor's by dept. 14 Master's by dept. 6 Fellowship (5) 3150 9 Teaching Assistantship (5) 3000 9 4c Teaching Ph. D. (1975-1978 incl.) A&NT 1, S l, Other 4. *Late applications will be considered. Total: 4 University of Idaho, Moscow 83843 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1092 L.E. Bobisud, Chairman Faculty 15; Published 10 Bachelor's by dept. 11 Master's by dept. 3 Teaching Assistantship (11) 3600-4400 9 546/yr. 6 Teaching Ph. D. (1975-1978 incl.) G&T 1 Total: 1 ILLINOIS DePaul University, Chicago 60614 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 1100 Lawrence Gluck, Chairman Faculty 20; Published 8 Bachelor's by dept. 12 Master's by dept. 3 Teaching Assistantship (3) 2400-3000 9 15 535 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included houn type Academic year (with number anticipated 1979-1980) indollan months in stipend (dollars) per week of service 1977-1978 Eastern Illinois University, Charleston 61920 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1731 Alphonso J. DiPietro, Chairman Faculty 26; Published 5 Bachelor's by dept. 26 Master's by dept. 11 Teaching Assistantship (12) 3000 9 5c Graduate Assistantship (2) 1890 9 10 Tutoring, computer program ming Illinois Institute of Technology, Chicago 60616 DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/79 Bachelor's by inst, 480 Anthony S. Wojcik, Chairman Faculty 5 Bachelor's by dept. 25 Master's by dept. 19 Teaching Assistantship (16) 4800-5300 9 20 Teaching Ph.D. (1975-1978 incl.) CS·4. Total: 4· DEPARTMENT OF MATHEMATICS Applications due: None Bachelor's by inst. 480 P.C. Deliyannis, Chairman Faculty 14; Published 12 Bachelor's by dept. 16 Master's by dept. 3 Teaching Assistantship (5) 3000-4000 9 7c Teaching Ph.D. (1975-1978 incl.) A&NT 4, G&T 1, L 1, AM 1. Total: 7 Illinois State University, Normal 61761 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79* Bachelor's by inst. 3320 Albert D. otto, Chairperson Faculty 35; Published 15 Bachelor's by dept. 43 Master's by dept. 17 Teaching Assistantship (15) 2520-2880 9 Waived 4c Teaching Doctoral Assistantship (3) 3240-3600 9 Waived 4c Teaching Instructorship (3) 5400-6300 9 ** 6-8c Teaching *Late applications will be considered. **Over 6 hours payable by student. Loyola University, Chicago 60626 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/30/79 Bachelor's by inst. 900 Richard J. Maher, Chairman Faculty 17; Published 9 Bachelor's by dept. 30 Master's by dept. 4 Teaching Assistantship (2) 2500 9 * 6-10 *Summer tuition also rebated. Northeastern Illinois University, Chicago 60625 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1216 T. Patricelli, Chairman Faculty 13; ·Published 4 Bachelor's by dept. 28 Master's by dept. 23 Teaching Assistantship (4) 2100-2900 10 10 Northern Illinois University, DeKalb 60115 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 7/1/79 Bachelor's by inst. 3329 D. B. McAlister, Chairman Faculty 70; Published 41 Bachelor's by dept. 115 50 Teaching Assistantship (54) 2520-4140 9 12 Teaching Master's by dept. Northwestern University, Evanston 60201 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by inst. 1781 Meyer Dwass, Chairman Faculty 42; Published 38 Bachelor's by dept. 29 Master• s by dept. 7 Teaching Fellowship (34) 3200-4200 9 12 Ph.D. (1975-1978 incl.) A&NT 4, G&T 5, A&FA 10, P 4, S 2, ME 1. Total: 26 PROBABILITY AND STATISTICS INTERDEPARTMENTAL P.ROGRAlv:l Applications due: 1/15/79 Bachelor's by inst. 1781 Meyer·Dwass, Chairman Faculty 50; Published 50 Fellowship (5) 3600 9 Roosevelt University, Chicago 60605 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/79 Bachelor's by inst. 823 Jack SUber, Chairman Faculty 6; Published 1 Bachelor's by dept. 10 Master's by dept. 5 Teaching Assistantship (1) 2000 9 8-10 Tutorials Scholarship (2) 9 Assistant to staff (1) 900 9 1100-1600 6-8 536 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend ( dollan) per week of service 1977-1978 Southern Illinois University, Carbondale 62901 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79* Bachelor's by inst. 3479 Alphonse Baartmans, Chairman Faculty 52; Published 36 Bachelor's by dept. 21 Master's by dept. 6 Fellowship (2) 3740-4070 11 ** Teaching Assistantship (15) 3519-3843 9 ** 6c Teaching Ph.D. (1975-1978 incl.) Teaching Assistantship (7) 4301-4697 11 ** 6c Teaching A&NT 2, A&FA 2, AM 2, Other 2 . Total: 8 *Late applications will be accepted. **$78-$95 fees per semester. Southern Illinois University-Edwardsville 62025 DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCES Applications due: 1/15/79 Bachelor's by inst. 1265 H. K. Wilson, Chairman Faculty 24; Published 12 Bachelor's by dept. 33 Master's by dept. 14 Teaching Assistantship (16) 374/mo- 9 20 Teaching 406/mo. U Diversity of Chicago, Chicago 60637 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 457 Paul J. Sally, Jr., Chairman Faculty 45; Published 45 Bachelor's by dept. 34 Master's by dept. 25 Fellowship (15) 8000 9 Teaching Fellowship (15) 8000 9 5 Ph.D. (1975-1978 incl.) Research Assistantship (10) 8000 9 Research A&NT 15, G&T 10, L 2, Scholarship (5) 4305 9 A&FA 4, CS 1, AM 2. Lecturer (20) 5600 9 5-8 Total: 34 *Foreign: 1/1/79; domestic: 2/1/79. University of Illinois at Chicago Circle, Chicago 60680 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 2485 Philip Dwinger,. Head Faculty 74; Published 54 Bachelor's by dept. 47 Master's by dept. 39 Fellowship (2) 2500 9 Teaching Assistantship (80) 4095 9 20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (4) 4095 9 20 Research A&NT 5, G&T 1, L 1, Tuition waiver (7) 9 A&FA 2, S 4, CS 1, AM 3, ME 2. Total: 19 *Fellowship: 2/1/70; Assistantship: 8/1/79. University of Illinois at Urbana-Champaign, Urbana 61801 DEPARTMENT OF MATHEMATICS Applications due: Z/15/79* Bachelor's by inst. 5396 Paul T. Bateman, Head Faculty 115; Published 75 Bachelor's by dept. 69 Master's by dept. 32 Fellowship (12) 3000-5335 12 0-3c Teaching Teaching Assistantship (140) 4671 9 6-8c Teaching Ph. D. (1975-1978 incl.) Tuition Waivers (3) A&NT 19, G&T 10, L 4, A&FA 13, P 2, S 1, CS 2, *First consideration. AM 5. Total: 56 Western Illinois University, Macomb 61455 DEPARTMENT OF MATHEMATICS Applications due: 4/30/79 Bachelor's by inst. 2611 J. Burlak, Chairman Faculty 33; Published 20 Bachelor's by dept. 21 Master's by dept. 6 Teaching. Assistantship (8) 3330 9 10-20 MATHEMATICS AT NORTHWESTERN UNIVERSITY The Mathematics Department of Northwestern University invites applications for graduate study from qualified applicants interested in the Ph.D. degree. The Mathematics Faculty is strongly research oriented. A Ph.D. program may be pursued in the areas of algebra. algebraic geometry and topology, classical and modern analysis, global analysis, ordinary and partial differential equations, probability and statistics. In addition a number of faculty have strong interests in applied work. The department is of medium size so that the students enjoy a great deal of contact with the faculty. Further inquiries should be addressed to Professor Allen Devinatz Department of Mathematics, Lunt Hall Northwestern University Evanston, Illinois 60201 537 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 INDIANA Ball State Unhersity, Muncie 47306 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: * Bachelor• s by inst. 2486 Duane E. Deal, Chairman Faculty 41; Published 15 Bachelor's by dept. 52 Master's by dept. 45 Teaching Assistantship (24) 2800 9 55/qtr. 4c Teaching Computer Center (8) 2800 9 55/qtr. 20 *Open but desired by March 1. Indiana State University, Terre Haute 47809 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 2000 Gerald Harshany, Chairman Faculty 24; Published 8 Bachelor• s by dept, 50 Teaching Assistantship (8) 2000-2300 9 13/hr. 4c Indiana University, Bloomington 47401 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1001 Morton Lowengrub, Chairman Faculty 44; Published 40 Bachelor's by dept, 42 Master's by dept. 21 Fellowship (2) 5200 9 * Teaching Assistantship (110) 4000-5000 9 ** 15-20 Teaching, Ph.D. (1975-1978 incl.) assisting, A&NT 3, A& FA 7, P 4, grading S 3, AM 1. Total: 18 Research Assistantship (1) 4000-4400 9 ** 15-20 Research Summer Teaching Fellowship (15) 500 2 *** *In-state fees of $38 per credit hour. **Usually accompanied by a full fee remission which exempts the students from paying all but $85 each semester for general expenses (Health Center, etc.). ***Usually accompanied by a full fee remission which exempts the students from paying all but $36. 50 for general expenses (Health Center, etc.). Indiana University-Purdue University at Indianapolis 46205 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/79 Bachelor's by in st. 2200 Michael Gemignani, Chairman Faculty 26; Published 23 Bachelor's by dept. 13 Master's by dept. 13 Teaching Assistantship (2) 3000-3500 10 * 20 Teaching Research Assistantship (2) 3500-4000 10 20 Research *Not more than $200 per semester. Purdue University, West Lafayette 47907 DEPARTMENT OF COMPUTER SCIENCES Applications due:* Bachelor's by inst. 4400 S.:O. Conte, Head Faculty 21; Published 20 Bachelor's by dept. 77 Master's by dept. 42 Fellowship** 3900- 12 70/sem.if 4500*** Ph.D. (1975-1978 incl.) Teachin~ Assistantship (50) 3900- 10 70/sem.# 20 CS 15, Total: 15 4500*** Research Assistantship (35) Varies 70/sem.# Black & Minority** 3600- 12 4200*** *Fellowship: 2/1/79; Assistantship: 3/1/79. **Determined by university-wide competition. ***Most of these stipends are likely to be increased by Fall 1979. if$35 for summer s'ession. DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 4400 L.D. Berkovitz, Chairman Faculty 76; Published 62 Bachelor's by dept, 87 Master's by dept. 50 Fellowship (3) 3600-4200 12 70/sem, Teachi..l'!g Assistantship (120) 4100-4500 9 70/sem. 6c Ph. D. (1975-1978 incl.) Research Assistantship (4) 3600 12 70/sem. A&NT 4, G&T 2, L 1, Black Fellowship (3) 3600-4200 12 70/sem. A&FA 6, AM 5. Total: 18 *Fellowship: 2/1/79; Assistantship: 3/15/79. DEPARTMENT OF STATISTICS Applications due:* Bachelor's by inst. 4400 Shanti s. Gupta, Head Faculty 19; Published 18 Bachelor's by dept, 6 Master's by dept. 24 Fellowship (2) 3900-4500 12 70/sem. Teaching Assistantship (20) 4000-4600 10 70/sem, 20 Teaching Ph.D, (1975-1978 incl.) Research Assistantship (2) 4200-4600 10 70/sem, 20 Research P 11, S 3, Total: 14 Statistics Consulting (4) 4000-4600 10 70/sem. 20 Consulting *Fellowship: 2/1/79; Assistantship: 6/1/79, 538 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979--1980) in dollars months in stipend ( dollan) per week of service 1977-1978 IOWA Drake University, Des Moines 50311 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 940 Wayne Woodworth, Chairman Faculty 10; Published 4 Bachelor's by dept. 7 Master's by dept, 1 Teaching Assistantship (5) 2200-2500 9 20 *Late applications accepted, Iowa State University, Ames 50011 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst, 3459 R, M. stewart, Chairman Faculty 14; Published 10 Bachelor's by dept. 69 Master's by dept, 11 Teaching Assistantship (34) 3900-5000 9 128/qtr. 3c Teaching Research Assistantship (10) 3600-5400 12 128/qtr. 20 Research Ph, D. (1975-1978 incl.) CS 6, Total: 6 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 3459 Wilfred E. Barnes, Head Faculty 58; Published 40 Bachelor's by dept. 12 Master's by dept, 6 Teaching Assistantship (36) 3960-4140* 9 143* 5-6c Teaching Ph.D. (1975-1978 incl.) *Current rates, some increase is expected, A&FA 2, AM 4, other 1. Total: 7 DEPARTMENT OF STATISTICS Applications due: 3/31/79 Bachelor's by inst. 3459 H. A, David, Head Faculty 32; Published 29 Bachelor's by dept. 3 Master's by dept. 16 Teaching Assistantship (21) 455/mo.- 9 143/qtr. 20 Teaching, 525/mo, service Ph. D. (1975-1978 incl.) Research Assistantship (26) 425/mo.- 12 143/qtr. 20 Research, S 22. Total: 22 525/mo, service PACE (10)* 143/qtr. 12 *An award offered by the Graduate College as a Premium for Academic Excellence (PACE), based on prior scholastic achievement. University of Iowa, Iowa City 52242 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst, 2602 Ted Sjoerdsma, Chairman Faculty 10; Published 8 Eachelor•s by dept, 28 Master's by dept. 16 Fellowship (1) 5400 9 85-409 20 * Teaching Assistantship (12) 5400 9 85-409 20 Teaching Ph. D. (1975-1978 incl.) Research Assistantship (6) 5400 9 85-409 20 Research CS 9. Total: 9 *Special TRF Program, During four years, some teaching, some research, some fellowship. DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2602 Eugene W. Johnson, Chairman Faculty 34; Published 30 Bachelor's by dept. 18 Master's by dept. 6 Teaching Assistantship (30) 4900-5400 9 429 (9 or 20 Teaching more hours) Ph. D. (1975-1978 incl.) A&NT 4, G&T 3, L 1, A&FA 10, AM 2. Total: 20 Computer Science at the University of Iowa The University of Iowa offers graduate programs leading to the M.S. and Ph. D. degrees in Computer Science. Areas of faculty interest include architecture, artificial intelligence, computation theory, data structures, database sys tems, design and analysis of algorithms, operating systems, parallel processing and programming languages. The Computer Science Department has its own Burroughs 1700. An excellent terminal facility within the Mathematical Sciences Division provides access to ttie campus-wide CDC CYBER 70/71 and IBM 360/65. (Upgrade of campus-wide computer expected 1979-19BO.) Financial aid is available to qualified students in the form of Research or Teaching Assistantships. For de tailed information and application forms write to: Chairperson of the Graduate Committee Department of Computer Science The University of Iowa Iowa City, Iowa 52242 539 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per weelc of service 1977-1978 DEPARTMENT OF STATISTICS Applications due: 3/7/79 Bachelor's by inst. 2602 Robert V. Hogg, Chairman Faculty 12; Published 9 Bachelor's by dept. 18* Master's by dept. 15 Fellowship (2) 2500-3500 9 950 Teaching Fellowship (1) 5550-6500 12 6 or 20 Teaching Ph. D. (1975-1978 incl.) or 'S""'f.""Total: 7 research Teaching Assistantship (10) 5000-5500 9 650 6 Teaching Research Assistantship (3) 5000-5500 9 650 20 Research *Joint undergraduate program with Mathematics Department. University of Northern Iowa, Cedar Falls 50613 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1424 David R. Duncan, Head Faculty 20; Published 5 Bachelor's by dept. 21 Master's by dept. 5 Graduate Assistantship (3) 2450 9 12 KANSAS Fort Hays Kansas State University, Hays 67601 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 774 E. Beougher, Chairman Faculty 11; Published 1 Bachelor's by dept. 18 Master's by dept. 6 Teaching Assistantship (1) 2100 9 * *Resident: $20.75 per credit hour: nonresident: $40.75 per credit hour. Kansas State University, Manhattan 66506 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 2610 John E. Maxfield, Head Faculty 27; Published 22 Bachelor's by dept. 2 Master's by dept. 3 Teaching Assistantship (22) 3600-4545 9 170 4c Ph. D. (1975-1978 incl.) A&FA 1, AM 2, ME 1. Total: 4 DEPARTMENT OF STATISTICS Applications due: 6/1/79 Bachelor's by inst. 2610 Arthur D. Dayton, Head Faculty 13; Published 10 Bachelor's by dept, 2 Master's by dept. 4 Teaching Fellowship (13) 3600-3960 9 * 16 Teaching Research Assistantship (5) 3600-3960 12 * 20 Research Ph.D. (1975-1978 incl.) S 10. Total: 10 *$17 per credit hour plus $93. Pittsburg State University, Pittsburg 66762 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 763 Helen F. Kriegsman, Chairman Faculty 9; Published 2 Bachelor's by dept. 13 Master's by dept. 5 Teaching Assistantship (5) 2800 9 5.40/cr.hr.* 6c *Plus $55 campus privilege fee. University of Kansas, Lawrence 66045 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 2914 Charles J. Himmelberg, Chairman Faculty 45; Published 34 Bachelor's by dept, 16 Master's by dept. 4 Fellowship (1) 3200 9 Teaching Assistantship (40) 4300-4500 9 20/hr. 5-6c Teaching Ph. D. (1975-1978 incl.) Scholarship (8)* Tuition 9 A&NT 3, G&T 4, P 1. Total:.8 *All graduate students are eligible for these including teaching assistants. GRADUATE STUDIES IN STATISTICS The Department of Statistics offers graduate study leading to the Master of Science degree and the Doctor of Philosophy degree. The Program of Study combines basic training in statistical methods and theory with an opportunity to participate in the practical applications of statistics through the Statistical Laboratory. Stipends for nine-month teaching and research assistantships start at $4000 with a 12-month graduate research assistant starting at $4800. STATE Graduate assistants pay in-state fees (currently $17 per credit hour) with UNIVERSITY teaching assistants receiving an $80 fee reduction. Further information and application for admission and financial support may be obtained from: Dr. Arthur D. Dayton, Head Department of Statistics Kansas State University t•lanha ttan, Kansas 66506 540 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnanckll assistance amount 9 or 12 If not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend ( dollon) per week of service 1977-1978 Wichita State University, Wichita 67208 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1805 John J. Hutchinson, Chairperson Faculty 28; Published 6 Bachelor's by dept. 15 Master's by dept. 4 Teaching Assistantship (10) 3500 9 17/cr,hr. 3-5 KENTUCKY Eastern Kentucky University, Richmond 40475 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/79 Bachelor's by inst. 1613 Marijo LeVan, Acting Chairman Faculty 16; Published 6 Bachelor's by dept, 9 Teaching Assistantship (6) 2700-3000 9 3c or 6c Master's by dept. 3 Morehead State University, Morehead 40351 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 900 Glenn E. Johnston, Head Faculty 12 Bachelor's by dept. 11 Teaching Assistantship (4) 2400 9 20 Teaching Murray State University, Murray 42071 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 944 David E. Gibbs, Chairman Faculty 15; Published 8 Bachelor's by dept. 12 Master's by dept. Teaching Assistantship (4) 2400-3600 9 217/sem. 4c -6c Teaching 6 University of Kentucky, Lexington 40502 DEPARTMENT OF MATHEMATICS Applications due: 2/2/79 Bachelor's by inst. 2598 Roger Wets, Chairman Faculty 54; Published 54 Bachelor's by dept, 10 Master's by dept. 8 Fellowship (5) 3400-3900 9 313/sem. Teaching Fellowship (1) 6000 12 313/sem. Teaching Ph.D, (1975-1978 incl.) Teaching Assistantship (40) 4450-4550 9 313/sem. Teaching A&NT 2, G&T 3, A&FA 3, Research Assistantship (2) 4500 9 313/sem. OR 1, AM 2. Total: 11 Dissertation (2) 3700 9 313/sem, DEPARTMENT OF STATISTICS Applications due: * Bachelor's by inst. 2598 R. L. Anderson, Chairman Faculty 15; Published 14 Master's by dept. 6 Fellowship (3) 3200-4200 9 626 5** Ph, D. (1975-1978 incl.) Teaching Assistantship (15) 4200-4500 9 626 20 S 9, Total: 9 Research Assistantship (2) 5000-6000 12 626 20 *Fellowship: 2/1/79; Assistantship: 4/1/79. **For maximum stipend. University of Louisville, Louisville 40208 DEPARTMENT OF MATHEMATICS Bachelor's by inst, 1241 Roger H. Geeslin, Chairman Faculty 13; Published 3 Bachelor's by dept. 14 Master's by dept. 8 Teaching Assistantship (4) 4745 9 Remitted 6 Teaching Western Kentucky University, Bowling Green 42101 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 1097 Robert C. Bueker, Chairman Faculty 30; Published 4 Bachelor's by dept. 27 6 Teaching Assistantship (7) 2400-3300 9 275/sem. 10 Teaching, Master's by dept. tutorials LOUISIANA Louisiana State University, Baton Rouge 70803 DEPARTMENT OF COMPUTER SCIENCE Bachelor• s by inst. 6000 Walter G. Rudd, Chairman Faculty 10; Published 5 Bachelor's by dept, 30 Teaching Assistantship (4) 4000-4800 9 425* Teaching *Nonresident. DEPARTMENT OF QUANTITATIVE METHODS Applications due: 3/15/79 Bachelor's by inst. 6000 W. W. Thompson, Jr., Chairman Faculty 11; Published 8 Bachelor's by dept, 15 Master's by dept, 5 Teaching Assistantship (4) 3800-4600 9 20 Research Assistantship (8) 3200 9 20 Ph, D. (1975-1978 incl.) S 3, OR 2. Total: 5 541 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 Louisiana Tech University, Ruston 71272 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/79 Bachelor's by inst. 1155 B. J. Attebery, Chairman Faculty 27; Published 10 Bachelor's by dept. 9 Master's by dept. 2 Teaching Fellowship (9) 3000 9 525 12-15 Research Ph. D. (1975-1978 incl.) A&FA 2, S 2, AM 1. Total: 5 McNeese State University, Lake Charles 70609 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/1/79 Bachelor's by inst. 561 Patrick L. Ford, Head Faculty 21; Published 3 Bachelor's by dept. 11 Master's by dept. 1 Teaching Assistantship (4) 2400 9 6c Nicholls State University, Thibodaux 70301 DEPARTMENT OF MATHEMATICS Bachelor's by in st. 800 Larry S. Haw, Head Faculty 12; Published 2 Bachelor's by dept, 11 Master's by dept. 3 Teaching Assistantship (5) 2532-3000 9 990 6c Teaching Northeast Louisiana University, Monroe 71203 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 1165 R.D. Finley, Head Faculty 17; Published 2 Bachelor• s by dept. 5 Master's by dept. 1 Teaching Assistantship (10) 3000 9 6 Northwestern State University, Natchitoches 71457 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 648 Stan Chadick, Head Faculty 13; Published 3 Bachelor's by dept. 6 Master's by dept. 2 Teaching Assistantship (5) 2400 9 250/sem. 6c Teaching Southeastern Louisiana University, Hammond 70402 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 858 Robert C. Brown, Head Faculty 18; Published 1 Bachelor• s by dept. 5 Teaching Assistantship (4) 2600 9 approx. 90 6c Tulane University, New Orleans 70125 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 951 Jerome A. Goldstein, Chairman Faculty 28; Published 23 Bachelor's by dept. 23 Teaching Assistantship (10) 3200-3400 8 Waived 3-4c Ph.D. (1975-1978 incl.) A&NT 6, G&T 3, A&FA 1, S 2, AM 1. Total: 13 University of New Orleans, New Orleans 70122 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 1078 A. J. Hulin, Chairman Faculty 42; Published 19 Bachelor's by dept. 15 Teaching Assistantship (9) 3000-3300 9 55 6c Teaching Master's by dept. 1 .------TULANE UNIVERSITY------~~~ FACULTY: ALGEBRA -Alfred H. Clifford, John Dauns, Laszlo Fuchs, Pierre A. Grillet, William R. Nico; COMPUTER SCIENCE- Mark Benard, Jeanne Tamaki; PARTIAL DIFFERENTIAL EQUATIONS- J. Thomas Beale, Edward D. Conway, Jerome A. Goldstein, Steven I. Rosencrans; PROBABILITY AND STATISTICS Arnold Levine; SEVERAL COMPLEX VARIABLES- Frank T. Birtel, Frank D. Quigley, Albert L. Vitter, Pit Mann Wong; TOPOLOGY- Ronald A. Fintushel, Ronald J. Knill, Terry C. Lawson, James T. Rogers; TOP OLOGICAL ALGEBRA - Maurice J. Dupre, Karl H. Hofmann, John R. Liukkonen, Michael W. Mislove. GRADUATE STUDENTS: Thirty, all Ph.D. students, with teaching responsibilities of three hours per week. (The Department also participates in an interdisciplinary Master's Degree in Applied Mathematics. for in formation on this program, write to Professor S. C. Cowin, Department of Biomedical Engineering, Tulane University.) FACILITIES: We have an outstanding library in the same space as graduate student and faculty offices. The atmosphere encourages informal, intense cooperation between graduate students and faculty. Tulane is located in cosmopolitan New Orleans. For detailed information, write for the brochure Mathematics at Tulane. 542 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial a11istance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Southwestern Louisiana, Lafayette 70504 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/1/79 Bachelor's by in st. 2193 Duane Blumberg, Chairman Faculty 41; Published 17 Bachelor's by dept. 4 Master's by dept. 9 Fellowship (1) 3500 9 Teaching Assistantship (15) 2600-4000 9 6c Teaching Ph. D. (1975-1978 incl.) Scholarship (5) 1000* 9 A&NT 2, S 3, AM 1. Instructorship (5) 1200 9 400-900 Varies Teaching Total: 6 *May be awarded in addition to an assistantship. MAINE University of Maine at Orono 04469 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1198 Gary Haggard, Chairman Faculty 35; Published 16 Bachelor's by dept. 16 Master's by dept. 4 Fellowship (2) 3240 12 Teaching Assistantship (10) 3150 9 20 Recitation section, Lab supervision MARYLAND Johns Hopkins University, Baltimore 21218 Bachelor's by inst. 546 DEPARTMENT OF BIOSTATISTICS Applications due: 1/31/79 Master's by dept. 6 Alan Ross, Chairman Faculty 9; Published 9 Ph.D. (1975-1978 incl.) Teaching Assistantship (2) 1200-2400 12 450 15 Teaching 12. Total~ 12 Research Assistantship (9) 2400-3900 12 450 15 Research S Scholarship (7) 1200-3900 12 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 1/30/79 Bachelor's by inst. 546 Roger A. Horn, Chairman Faculty 9; Published 9 Bachelor's by dept. 20 Master's by dept. 3 Teaching Fellowship (20) Varies 9 4050 6 -8 Teaching Ph. D. (1975-1978 incl.) S 1, OR 7, other 8. Total: 16 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 546 J. H. Sampson, Chairman Faculty 16; Published 16 Master's by dept. 3 Teaching Assistantship (16) 3000-3300 9 4500 2c University of Maryland, Baltimore County, Baltimore 21228 DEPARTMENT OF MATHEMATICS Applications due: 3/31/79 Bachelor's by inst. 674 Yen-Mow Lynn, Chairman Faculty 21; Published 15 Bachelor's by dept. 13 Master's by dept. 5 Teaching Assistantship (10) 4050-5000 9 20 Teaching Research Assistantship (1) 4050-5000 9 20 Research Ph.D. (1975-1978 incl.) AM 2. Total: 2 oo:ocoo~Q=~aaQQ::::==~cc:ac~~=ccccccccccccQcc:::cacccoccccco:c ==::accccccc:coal UNIVERSITY OF MARYLAND BALTIMORE COUNTY Graduate Study in Applied Mathematics Leading to M.S. and Ph.D. Degrees FIELDS: Ordinary Partial and Functional Differential Equations, Probability and Statistics, Numerical Analysis, Stochastic Control and Estimation, Dynamical Systems, Fluid Dynamics, Complex Analysis, Systems Analysis, Operations Research, Computer Science. TEACHING ASSISTANTSHIPS: $4050-$5000 with Remission of Fees APPLY TO: Chairman, Graduate Committee Department of Mathematics UNIVERSITY OF MARYLAND BALTIMORE COUNTY ~ Baltimore, Maryland 21228 ~=acccoccoac:~cc:cccooccc=c=ooo 543 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1979~ 1980) in dollars months in stipend {dollars) per week of service 1977-1978 University of Maryland, College Park 20742 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 5481 William E. Kirwan, Chairman Faculty 87; Published 61 Bachelor's by dept. 43 Master's by dept. 26 Fellowship (1) 4050-5000 10 Research Teaching Assistantship (119) 4050-5000 10 * 20 Teaching, Ph. D. (1975-1978 incl.) grading A&NT 2, G&T 2, L 2, *Resident: $60 per credit; nonresident: $95 per credit. A&FA8, P3, S1, AM4. Total: 22 DEPARTMENT OF MEASUREMENT AND STATISTICS Bachelor's by inst. 5481 Robert W. Lissitz, Chairman Faculty 8; Published 6 Master's by dept. 6 Teaching Assistantship (3) 4050 9 20 Ph.D. (1975-1978 incl.) Interns (5) 2500-6000 9 S 4, Total: 4 MASSACHUSETTS Boston College, Chestnut Hill 02167 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1942 R. R. Carroll, Chairman Faculty 22 Bachelor's by dept. 57 Master's by dept. 5 Teaching Fellowship (10) 3000 9 6c Teaching Scholarship (1) 9 Boston University, Boston 02215 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 954 Robin E, Esch, Chairman Faculty 28; Published 2 7 Bachelor's by dept. 28 Master's by dept. 12 Teaching Fellowship (24) 3500 9 10 Teaching Research Assistantship (6) 4000-6500 9 20 Research Ph.D, (1975-1978 incl.) Scholarship (4) Tuition 9 A&NT 1, A&FA 2, S 4, CS 1, AM 1, Other 4, Total: 13 Brandeis University, Waltham 02154 DEPARTMENT OF MATHEMATICS Applications due: 3/1/7 9 Bachelor's by inst. 684 Edgar Brown, Chairman Faculty 21; Published 18 Bachelor's by dept, 15 Master's by dept. 3 Fellowship (10) 4000 9 5-6 Grading Ph.D, (1975-1978 incl.) A&NT 5, G&T 4, A&FA 4. Total: 13 Bachelor's by inst. 539 Clark University, Worcester 01610 Bachelor's by dept. 13 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Master's by dept. 13 Faculty 7; Published 6 Robert W. Kiimoyer, Jr. , Chairman Ph.D. (1975-1978 incl.) Teaching Assistantship (5) 2800-3000 9 4 Teaching A&NT 1, A&FA 2, other 1. Total: 4 Harvard University, Boston 02115 DEPARTMENT OF BIOSTATISTICS Applications due:* Bachelor's by inst. 1585 Frederick Mosteller, Chairman Faculty 6; Published 5 Master's by dept, 6 Fellowship (11) 2300-4600 9 4600 Ph.D, (1975-1978 incl.) Teaching Assistantship (12)** 5 or 10 other 8. Total: 8 Research Assistantship (10)** 9 or 12 *For applying students, simultaneously with application for admission; for returning students, 4/1/79. **Teaching and Research Assistants are paid as pre-doctorals a minimum of $5.25 per hour for a maximum of 10 hrs. per week through a range, depending on the year of their study, up to a maximum as a post-doctoral at a rate of $8.50 per hour for a maximum of 40 hours per week. Harvard University, Cambridge !1.2138 DEPARTMENT OF STATISTICS Applications due: 1/1/79 Bachelor's by inst. 1585 Arthur P. Dempster, Chairman Faculty 6; Published 6 Master's by dept, 3 Teaching Assistantship (14) 990-1200* 5 7c Ph.D. (1975-1978 incl.) Research Assistantship (6) ** S 5. Total: 5 Scholarship (3) ** 9 *1977-1978 rates. **Stipend amount not known at this time. 544 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1979--1 980) in dollars months in stipend {dollars) per week of service 1977-1978 Massachusetts Institute of Technology, Cambridge 02139 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor's by inst. 1083 Kenneth Hoffman, Head Faculty 80; Published 60 Bachelor's by dept, 72 Master's by dept. 5 Fellowship (20) 2925 9 3900 12 Ph.D, (1975-1978 incl.) Teaching Assistantship (47) 4500 9 6 Teaching A&NT 10, G&T 11, L 9, 16 Grading A&FA 11, P 3, OR 1, papers AM 7, other 24, Total: 76 Research Assistantship (7) 8595 9 4700 16 Research Northeastern University, Boston 02115 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 2300 Maurice Gilmore, Chairman Faculty 40; Published 25 Bachelor's by dept. 15 12 Teaching Assistantship (31) 3000-3300 9 3 Teaching Master's by dept. 3 Conference Ph.D, (1975-1978 incl.) hours A&NT 2, G&T 2, A&FA 2, Tuitionship (7) Tuition only 4-8 Grading, AM 2. Total: 8 workshop, etc. Southeastern Massachusetts University, North Dartmouth 02747 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst, 899 Anthony J, John, Chairman Faculty 14; Published 3 Bachelor's by dept. 22 Master•·s by dept, 2 Teaching Assistantship (2) 3000 9 525 6 University of Lowell, Lowell 01854 DEPARTMENT OF MATHEMATICS Applications due: 8/15/79 Bachelor's by inst. 1800 Alan Doerr, Chairperson Faculty 35: Published 15 Bachelor's by dept. 50 Master's by dept, 25 Teaching Assistantship (4) 3200-3600 9 33. 50/cr. 6 Teaching University of Massachusetts, Amherst 01003 DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE Applications due: 2/1/79 Bachelor's by inst. 4003 Robert M. Graham, Chairman Faculty 12; Published 7 Bachelor's by dept, 10 Master's by dept. 20 Fellowship (2) 3000 9 Teaching Assistantship (12) 3600 9 20 Teaching Ph, D. (1975-1978 incl.) Research Assistantship (35) 3600-4000 9 20 Research CS 8. Total: 8 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/79 Bachelor's by inst. 4003 Edward A. Connors, Head Faculty 65; Published 47 Bachelor's by dept, 27 Master's by dept, 8 Fellowship (3) 3300 12 Teaching Assistantship (44) 3800-4000 9 6-8 Teaching Ph.D. (1975-1978 incl.) N,S,F. (1) 3900 12 A&NT 1, G&T 3, A&FA 3, P 1, S 1, AM 1, Other 2. Total: 12 University of Massachusetts at Boston 02125 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst, 864 Bernice L. Auslander, Chairman Faculty 25; Published 16 Bachelor's by dept, 25 Teaching Fellowship (5) 3000-3500 9 Waived 3c Teaching UMASS/BOSTON DEPARTMENT OF MATHEMATICS MASTER OF ARTS IN MATHEMATICS Graduate studies leading to the Master's Degree in Mathematics. Courses and independent study are offered in Algebra, Analysis, Topology, Geometry, Probability and Applied Mathematics. Classes are scheduled in the late afternoon and early evening. Part-time students are welcome and efforts are made to schedule classes to accommodate working students as well as teachers. Qualified applicants may be eligible for financial aid in the form of a number of teaching assistantships with remission of tuition fees. UMass/Boston is an Affirmative Action/Equal Opportunity Employer. For information write: Graduate Program in Mathematics Department of Mathematics, College of Arts and Sciences University of Massachusetts at Boston Harbor Campus Boston, Massachusetts 02125 545 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal auistance amount 9 or 12 If not Included hun type Academic year (with numloer anticlpatecl1979-1980) in clollan months in stipend (dollars) per wHic of service 1977-1978 MICHIGAN Andrews University, Berrien Springs 49104 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/79 Bachelor's by inst. 350 Harold T. Jones, Chairman Faculty 5 Bachelor's by dept, 3 Master's by dept, Teaching Assistantship (3) 2800-3000 9 1200 4c Teaching 6 Central Michigan University, Mount Pleasant 48859 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2475 E,H, Whitmore, Chairman Faculty 33; Published 7 Bachelor's by dept. 52 Master's by dept, Fellowship (20) 2000-2400 9 7 Teaching Assistantship (5) 3350-3950 9 32/sem.hr. 6c Eastern Michigan University, Ypsilanti 48197 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 2217 James H. Northey, Head Faculty 24; Published 8 Bachelor's by dept, 17 Master's by dept, 7 Graduate Assistantship (3) 3150-3350 9 * 20 Varies *1978-79: $39 per semester hour plus $20 registration fee per semester. Michigan State University, East Lansing 48824 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 7177 J. E. Adney, Chairman Faculty 70; Published 48 Bachelor's by dept, 79 Master's by dept, 34 Teaching Assistantship (110) 5000-5500 9 850 4-8 Ph.D. (1975-1978 incl.) A&NT 6, G&T 4, A&FA 5, AM 6, ME 1. Total: 22 Michigan Technological University, Houghton 49931 DEPARTMENT OF MATHEMATICAL AND COMPUTER SCIENCES Applications due: 3/1/79 Bachelor's by inst. 758 Zane C. Motteler, Head Faculty 39; Published 14 Bachelor's by dept. 17 Master's by dept, 3 Teaching Assistantship (15) 3600 9 5-8c Oakland University, Rochester 48063 DEPARTMENT OF MATHEMATICAL SCIENCE Applications due: 3/1/79 Bachelor's by inst. 1258 George F. Feeman, Chairperson Faculty 25; Published 21 Bachelor's by dept, 11 Master's by dept, 7 Teaching Assistantship (2) 3550-4550 9 Waived 20 Teaching University of Detroit, Detroit 48221 DEPARTMENT OF MATHEMATICS Applications due: 6/30/79 Bachelor's by dept, 7 J.F. Lanahan, Chairman Faculty 11, Published 4 Master's by dept. 21 Teaching Fellowship (4) 3200 9 6c Teaching Reader (1) 1500 12 110/hr. 6 Grading PH.D. IN ANALYSIS AND STATISTICS MICHIGAN STATE UNIVERSITY The Departments of Mathematics and Statistics/Probability would like to announce a new joint Ph.D. program. Students will be expected to take a balanced program in analysis and statistics/ probability. They may write a thesis in either department. Financial assistance is available to qualified students. For further information, write to: CHAIRMAN Graduate Affairs Committee Department of Mathematics (or Statistics and Probability) Michigan State University E. Lansing, Ml 48824 546 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Michigan, Ann Arbor 48109 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 4749 F. W. Gehring, Chairman Faculty 65; Published 51 Bachelor's by dept. 68 Master's by dept. 32 Fellowship (9) 2600-3120 8 * Teaching Assistantship (86)** 4844 8 *** 6c Teaching Ph. D. (1975-1978 incl.) Student Assistantship (50) 945-1454 8 Grade A&NT 15, G&T 6, A&FA 23, papers S 1, other 2. Total: 47 *Plus full tuition. **86 half time appointments constitutes teaching 12 hours over the 8 month academic year. 86 half time teaching assistants include those already in the department who will be reappointed. ***$385 per term for six credit hours per term. DEPARTMENT OF STATISTICS Applications due: 2/1/79 Bachelor's by inst •. 4749 Michael Woodroofe, Chairman Faculty 10; Published 8 Bachelor's by dept. 4 Master's by dept. 11 Teaching Assistantship (10) 3900-4000 8 450/sem. 16 Scholarship (10) 500-1500 8 Ph.D. (1975-1978 incl.) P 2, S 7. Total: 9 Wayne State University, Detroit 48202 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79* Bachelor's by inst. 5624 B. J. Eisenstadt, Chairman Faculty 45; Published 32 Bachelor's by dept. 18 Fellowship (2) 3500** 9 *** Ph. D. (1975-1978 incl.) Teaching Assistantship (35) 3350-5950 9 6c Teaching A&NT1, G&T2, A&FA2, S 4. Total: 9 *Late applications will be considered if positions are still available. **Plus a housing allowance io University housing and dependent child allowance of up to $900. ***Up to 12 hours iocluded. Western Michigan University, Kalamazoo 49008 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 3212 James H. Powell, Chairman Faculty 39; Published 18 Bachelor's by dept. 72 Master's by dept. 29 Fellowship (6) 3000-4000 8 33.50/cr.hr. Teachiog Assistantship (20) 3600 8 33. 50/cr. hr. 6c Teaching Ph.D. (1975-1978 incl.) Spring/Summer G&T 1, A&FA 1, other 5. Assistantship (25) 800-900 33. 50/cr. hr. 6c Teaching Total: 7. *Fellowship: 2/15/79; Assistantship: 3/1/79. WAYNE STATE UNIVERSITY invites applications for GRADUATE STUDY IN MATHEMATICS Current research leading to the Ph.D. is being conducted in a wide variety of fields. Masters degrees can be obtained in Mathematics, Applied Mathematics, Mathematical Statistics, and Teaching Community College Mathematics. ASSISTANTSHIPS AND FELLOWSHIPS In addition to their stipend, Graduate Assistants and Fellows are granted free tuition for up to 12 credit hours per quarter. Some housing subsidies are available. UNIQUE ENVIRONMENT The University is located adjacent to the Cultural Center of one of the great metropolitan areas of the nation. Such a setting offers incom parable opportunities for participation in cultural, vocational, recreational and social activities. On-campus housing is available for married and single students. For further information write Professor B.J. Eisenstadt, Chairman Department of Mathematics Wayne State University Detroit, Michigan 48202 547 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9or12 lfnotlnduded hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend ( dollan) per week of service 1977-1978 MINNESOTA Mankato State University, Mankato 56001 DEPARTMENT OF MATHEMATICS Applications due: 6/1/79 Bachelor's by inst. 1000 C. Dean Alders, Chairman Faculty 15; Published 2 Bachelor's by dept. 100 Master's by dept. 4 Teaching Assistantship (3-5) 2500-3750 9 10c St. Ooud State College, St. Ooud 56301 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/15/79 Bachelor's by inst. 1517 Howard A. Bird, Chairperson Faculty 26; Published 2 Bachelor's by dept. 30 Master's by dept. Teaching Assistantship (2) 2400-2800 9 13.65/cr.hr. 4c Teaching 2 University of Minnesota, Minneapolis 55455 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst. 6703 J.B. Rosen, Head Faculty 14; Published 11 Bachelor's by dept. 50 Master's by dept. 10 Fellowship (3) 5000-7000 12 Teaching Fellowship (2) 5000-6000 12 2c Teaching Ph.D. (1975-1978 incl.) Teaching Assistantship (6) 5400-5800 9 1000 3-4c Teaching CS 6. Total: 6 Research Assistantship (5) 5200 9;12 1000 15-20 Research DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 6703 Willard Miller, Jr., Head Faculty 76; Published 68 Bachelor's by dept. 58 Master's by dept. 13 Fellowship (4) 3900 9 Teaching Fellowship (4) 5726 9 2c Teaching Ph.D. (1975-1978 incl.) Teaching Assistantship (85) 5004-5589 9 31/cr. 4c Teaching A&NT 2, G&T 3, A&FA 12, Research Assistantship (1) 4761 9 31/cr. 20 Research P 2, AM 3. Total: 22 SCHOOL OF STATISTICS Applications due:* Bachelor's by inst. 6703 Seymour Geisser, Director Faculty 19; Published 19 Bachelor's by dept. 8 Master's by dept. 4 Fellowship (3) 3900 9 Teaching Assistantship (16) 5054 9 408 20 Ph.D. (1975-1978 incl.) Research Assistantship (7) 4809 9 408 20 S 9. Total: 9 *Fellowship: 2/1/79; Assistantship applications are considered at any time but normal filing date for the coming academic year is 2/15/79. MISSISSIPPI Jackson State University, Jackson 39217 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1000 Roosevelt Gentry, Head Faculty 24; Published 13 Bachelor's by dept. 8 Master's by dept. 8 Teaching Fellowship (8) 2200* 12 15 Teaching Assistantship (1) 2400* 12 15 Research Assistantship (1) 3600* 12 *Plus tuition. Mississippi State University, Mississippi State 39762 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1983 T.A. Atchison, Head Faculty 28; Published 6 Bachelor's by dept. 13 Master's by dept. 2 Teaching Assistantship (15) 3600-4000 9 300/sem. 6c Teaching MATHEMATICS AT MINNESOTA The { 1 niversit~· of Minnesota offers graduate programs leading to the M.S. and Ph.D. degrees. There are 75 full time faculty members and almost all areas of mathematics are well represented. In recent ~·ears there have been fewer than two graduate students per faculty member. Excellent library facilities and amplr office space are available in the mathematics building. Financial aid is available to qualified students in the form of Graduate Fellowships. and Teaching Assistantships. For further information write to: Professor Howard Jenkins Associate Head, School of Mathematics VNIVERSITY OF MINNESOTA Minneapolis, Minnesota 55455 548 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftnandal aniltance amount 9 or 12 if not Included hours typa Aca.micyear (with number anticipaNt~ 1979-1990) in dollars months lnotipand ( dollan} par w ..k of service 1977-1978 University of Mississippi, University 38677 DEPARTMENT OF MATHEMATICS Applications due: 4/79 Bachelor's by inst. 1175 Eldon L. Miller, Chairman Faculty 18; Published 3 Bachelor's by dept. 16 Master's by dept. 6 Fellowship (2) 3600-5000 9 353.50 Teaching Assistantship (15) 4200-4400 9 353. 50 6c Teaching Ph.D. (1975-1978 incl.) A&NT 1, Other 1. Total: 2 University of Southern Mississippi, Hattiesburg 39401 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/79 Bachelor's by inst. 2000 Danny R. Carter, Chairman Faculty 11; Published 5 Bachelor's by dept. 70 Master's by dept. Teaching Assistantship (3) 2200 9 330/sem. 12 8 Research Assistantship (2) 3400 9 20 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 2000 James Caveny, Chairman Faculty 18; Published 8 Bachelor's by dept. 40 Master's by dept. 2 Teaching Assistantship (6) 2400-3000 9 660/yr. 10 Teaching MISSOURI Central Missouri State University, Warrensburg 64093 DEPARTMENT OF MATHEMATICS Applications due: 3/30/79 Bachelor's by inst. 1350 H. Keith stumpff, Head Faculty 17; Published 4 Bachelor's by dept. 26 Master's by dept. 10 Teaching Assistantship (6) 2100-4200 9 5-10 Teaching Northeast Missouri State University, Kirksville 63501 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 800 Dale Woods, Head Faculty 14; Published 3 Bachelor's by dept. 18 Master's by dept. 5 Teaching Assistantship (10) 6000 12 6c Scholarship (8) 500-2000 9 12 St. Louis University, St. Louis 63103 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's ·by inst. 1510 Raymond W. Freese, Chairman Faculty 11; Published 4 Bachelor's by dept. 24 Master's by dept. 13 Teaching Assistantship (10) 3000 9 6c * Ph. D. (1975-1978 incl.) *6 hrs. per semester included in the assistantship. A&NT 3, G&T 3, A&FA 1, S 1. Total: 8 Southeast Missouri State University, Cape Girardeau 63701 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1156 Harold W. Hager, Chairman Faculty 18; Published 4 Bachelor's by dept. 26 Teaching Assistantship (3) 2600 9 6c University of Missouri-Columbia 65211 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 3475 C.M. Petty, Chairman Faculty 28; Published 25 Bachelor's by dept. 22 Master's by dept. 12 Teaching Assistantship (55) 4007-4440* 9 339/sem. 6c Ph. D. (1975-1978 incl.) *Current rates; some increase is expected. A&NT 3, A&FA 1, AM 1. Total: 5 DEPARTMENT OF STATISTICS Applications due: 3/1/79 Bachelor's by inst. 3475 Asit P. Basu, Chairperson Faculty 15; Published 12 Bachelor• s by dept. 2 Master's by dept. 4 Teaching Assistantship (5) 4100-4500 9 722 6c Teaching Ph. D. (1975-1978 incl.) S 5. Total: 5 University of Missouri-Kansas City 64110 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79* Bachelor's by inst. 1100 Paul Liebnitz, Chairman Faculty 14; Published 9 Bachelor• s by dept. 12 Teaching Assistantship (10) 3800-4000 9 339/sem. 5-6c Teaching Ph. D. (1975-1978 incl.) A&NT 1, G&T 2, A&FA 2. *To be sure of consideration. Total: 5 549 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Anancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Missouri-Rolla 65401 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 7 50 John W. Hamblen, Chairman Faculty 13 Bachelor's by dept. 59 Master's by dept. 28 Fellowship {6) 1000 9 Teaching Assistantship {17) 4500 9 20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (2) 4500 9 20 Research OR 2, CS 1. Total: 3 DEPARTMENT OF ENGINEERING MECHANICS Applications due: Open Bachelor's by inst. 750 Peter G. Hansen, Chairman Faculty 14; Published 6 Bachelor's by dept. 8 Master's by dept. 5 Teaching Assistantship {6*) 4500 9 Waived 6c *Half time. DEPARTMENT OF MATHEMATICS Applications due: 5/30/79 Bachelor's by inst. 750 O.R. Plummer, Acting Chairman Faculty 26; Published 17 Bachelor's by dept. 12 Master's by dept. 5 Teaching Assistantship {36) 4500-5000 9 693/yr. 6c Ph.D. {1975-1978 incl.) A&NT 1, G&T 3, A&FA 1, S 2, CS 2, Other 1. Total: 10 Washington University, St. Louis 63130 DEPARTMENT OF COMPUTER SCIENCE App ications due: 2/15/79 Bachelor's by inst. 1150 Jerome R. Cox, Jr., Chairman Fac Llty 8; Published 2 Bachelor's by dept. 22 Master's by dept. 6 Research Assistantship {6) 6660* 9 3060 20 Ph. D. (1975-1978 incl.) * 1978-1979 figures. AM 1. Total: 1 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1150 Robert H. McDowell, Chairman Faculty 22; Published 18 Bachelor's by dept. 14 Master's by dept. 3 Fellowship (8) 3200-3300* 9 10 Teaching, research Ph. D. {1975-1978 incl.) Teaching Fellowship (9) 3200-3300* 9 10 Teaching, G&T 3, A&FA 5, S-1. grading, Total: 9 and/or proctoring Teaching Assistantship {3) 3200-3300* 9 10 Teaching, grading, and/or proctoring Research Assistantship (3) 3200-3300* 9 10 Research Self-supporting {1) *Plus tuition. MONTANA Montana State University, Bozeman 59717 DEPARTMENT OF MATHEMATICS Applications due: 1/31/79 Bachelor's by dept. 18 Kenneth Tiahrt, Chairman Faculty 23; Published 15 Master's by dept. 5 Teaching Assistantship {15) 3700-5800 10 250/yr. 6-8 Ph. D. {1975-1978 incl.) Research Assistantship {3) 3700-5800. 10 250/yr. A&FA 2, S 3. Total: 5 DEPARTMENT OF MATHEMATICS U N IV E R S I TY 0 F M I S S 0 U R I - R 0 L L A PROGRAMS: M.S. AND PH.D. PROGRAMS IN PURE AND APPLIED MATHEMATICS AND STATISTICS, STIPENDS: GRADUATE TEACHING ASSISTANTSHIPS CARRY A STIPEND OF $4250 TO $5000. WRITE: o. R. PLUMMER DEPARTMENT OF MATHEMATICS UNIVERSITY OF MISSOURI-ROLLA ROLLA, MO. 65401 550 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1 980) in dollars months in stipend ( dollan) per week of service 1977-1978 University of Montana, Missoula 59812 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's byinst. 1245 Don 0. Loftsgaarden, Chairman Faculty 20; Published 15 Bachelor's by dept. 6 Master's by dept. 4 Teaching Assistantship (20) 3100-3500 9 * 5-6c Teaching Ph.D. (1975-1978 incl.) *Resident: $292. 50 per academic year; nonresident: $364. 50 A&NT 1, G&T 2, A&FA 3, per academic year. The fee for carrying 12 credits in the S 1, Other 2. Total: 9 academic year 1977-78. Fees for 1978-79 are not available at this time. NEBRASKA Kearney State College, Kearney 68847 DEPARTMENT OF MATHEMATICAL STATISTICS AND COMPUTER SCIE]){CE Applications due: 4/1/79 Bachelor's by inst. 1200 L. M. Larsen, Chairman Faculty 10; Published 2 Bachelor• s by dept. 40 Master's by dept. 1 Teaching Assistantship (2) 2500 9 5 University of Nebraska, Lincoln 68588 DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/79 Bachelor's by inst. 3000 George Nagy, Chairman Faculty 15; Published 10 Bachelor's by dept. 25 Master's by dept. 15 Teaching Assistantship (11) 3500-4000 9 650 18 Teaching Research Assistantship (5) 3500-4000 9 650 18 Research Scholarship (1) 1000 650-1400 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 4/1/79 Bachelor's by inst. 3000 David L. Skoog, Chairman Faculty 37; Published 34 Bachelor's by dept. 55 Master's by dept. 12 Teaching Assistantship (37) 3800-5800 9 22. 50/cr. hr. 4-6c Teaching Ph.D. (1975-1.978 incl.) A&NT 3, A&FA 4, AM 1. Total; 8 University of Nebraska at Omaha 68182 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/15/78 Bachelor's by inst. 1900 Margaret P. Gessaman, Chairman Faculty 20; Published 12 Bachelor's by dept. 25 Master's by dept. 5 Teaching Assistantship (4) 3435 9 * 6 Teaching *Resident: $21 per credit hour; nonresident: $57 per credit hour. Ph.D. m Mathematical Sciences at the UNIVERSITY OF MONTANA This program for the advanced training of college mathematics teachers and other mathematical "generalists"" has been developed with the aid of a grant from the Advanced Training Projects, NSF Division of Graduate Education. It emphasizes breadth of knowledge, skill in the communication of mathematical thought, an awareness of the influence of mathematics on modern society and intellectual life, and the development of a sense of vocation as teacher and scholar. It provides opportunity for traditiona.l or non-traditional thesis work, within pure mathematics or in interdisciplinary projects. For details, please write for the "Ph.D. Packet" to Chairman, Graduate CommiHee Mathematics Department, University of Montana Missoula, Montana 59812 551 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included houn type Academic year (with numberanlicipate NEVADA University of Nevada, Las Vegas 89154 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/15/79 Bachelor's by inst. 665 Sadanand Verma, Chairman Faculty 17; Published 10 Bachelor's by dept. 7 Master is by dept. 11 Fellowship (6) 3600-3800 9 7I cr. 6 Teaching University of Nevada, Reno 89SS7 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 780 E.M. Beesley, Chairman Faculty 14; Published 5 Bachelor's by dept. 9 Master's by dept. 2 Teaching Assistantship (4) 3800-4600 9 20 Teaching NEW HAMPSHIRE Dartmouth College, Hanover 037SS DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1000 Richard H. Crowell, Chairman Faculty 23; Published 18 Bachelor's by dept. 70 Master's by dept. 5 Fellowship (16) 4500 9;12 4-10 Teaching Ph.D. (1975-1978 incl.) A&NT 4, A&FA 2, P 4, other 3. Total: 13 University of New Hampshire, Durham 03824 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst. 1327 M. Evans Munroe, Chairman Faculty 25; Published 17 Bachelor's by dept. 42 Master's by dept. 18 Fellowship (1) 4200 12 Teaching Assistantship (10) 3400-4000 9 6° Teaching Ph.D. (1975-1978 incl.) Scholarship (3) Tuition ouly A&NT 1, ME 1. Total: 2 2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 2 2 2 2 ? UNIVERSITY OF NEVADA - LAS VEGAS $· 2 2 2 2 2 Graduate study programs for a M.S. degree are offered with courses leading 2 ? to specialization in the following areas: ALGEBRA, APPLIED STATISTICS, ? ? COMPUTER SCIENCE, DIFFERENTIAL EQUATIONS, FOUNDATIONS, FUNCTIONAL & 2 ? NUMERICAL ANALYSIS, OPERATIONS RESEARCH, PROBABILITY THEORY, REAL & COMPLEX ? ? VAR !ABLES and TOPOLOGY, ? 2 2 ? Excellent computing facilities are available for research. The Department of ? ? Mathematics, through an active faculty, offers graduate students both an unusual ? 2 amount of personal attention and a lively research atmosphere. A number of 2 ? invigorating research seminars in various fields are held during each academic ? ? year. Application forms for admission to the Graduate College and for ? 2 Assistantship may be obtained from the Chairman, Department of Mathematics, 2 ? University of Nevada, Las Vegas, Nevada 89154. ? 2 2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Uuversib; of Jlfevda, J?.eno '-/ v Fed up with being Just another face In a crowd? You should come to UNR for your M.S. (thesis or non-thesis options avai !able). We have· a small, congenial department with lots of personal interaction. The wide range of faculty interests Includes algebra, analysis, func tional analysis, topology, differential geometry, gravitation theory, computer science, probability, numerical analysis, combinatorics and foundations. Excellent computing facility is being regularly expanded and updated. This year's stipends range from $3600 to $4400 and include tuition waivers. Ample opportunity for summer employment. Unparalleled recreation opportunities, including fantastic skiing. Write Assistantship, Department of Mathematics, University of Nevada, Reno, NV 89557. AA/EOE 552 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend {dollars) per week of service 1977-1978 NEW JERSEY Fairleigh Dickinson University, Madison 07940 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 3/1/79 Bachelor's by in st. 462 H. Elkholy, Chairman Faculty 5; Published 1 Bachelor's by dept. 5 Master's by dept. 1 Teaching Fellowship (2) 3000 9 6 Teaching Fairleigh Dickinson University, Teaneck 07666 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/15/79 Donald Bein, Chairperson Faculty 14; Published 6 Teaching Fellowship (7) 3000-4000 9 6c Teaching Montclair State College, Upper Montclair 07043 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: Open Bachelor's by inst. 1882 Robert Garfunkel, Chairman Faculty 31; Published 14 Bachelor's by dept. 57 Master's by dept. 52 Teaching Assistantship (8) 3000 9 Waived 15 New Jersey Institute of Technology, Newark 07102 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 542 Henry Zatzkis, Chairman Faculty 25; Published 10 Bachelor's by dept. 5 Master's by dept. 2 Teaching Assistantship (1) 3600 9 Remitted 6 Teaching Princeton University, Princeton 08540 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1054 Robert C. Gunning, Chairman Faculty 46; Published 40 Bachelor's by dept. 21 Master's by dept. 9 Fellowship (30) 1700-5400 9-12 Teaching Assistantship (11)* 3400-4000 10 20 Ph.D. (1975-1978 incl.) Research Assistantship (12)* 3100-3800 10 A&NT 6, G&T 8, L 2, A&FA 14, Other 4. Total: 34 *Most assistants 1/2 teaching, 1/2 research. DEPARTMENT OF STATISTICS Bachelor's by inst. 1054 G.S. Watson, Chairman Faculty 7; Published 7 Bachelor's by dept. 7 Teaching Assistantship (2) 1700-2000 9 20 Ph.D. (1975-1978 incl.) Research Assistantship (4) 3300-3800 9 20 S 9. Total: 9 Rutgers University, New Brunswick 08903 DEPARTMENT OF COMPUTER SCIENCE Applications due: 6/1/79 Bachelor's by inst. 5970 Saul Amarel, Chairman Faculty 27; Published 27 Bachelor's by dept. 60 Master's by dept. 51 Fellowship (6) 5000 9 45-65/cr. Teaching Assistantship (35) 4400-4900 9 15 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (15) 4400-4900 9 15 Research CS 4. Total: 4 other (2) Tuition 9 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 5970 Daniel Gorenstein, Chairman Faculty 90; Published 80 Bachelor's by dept. 50 Master's by dept, 8 Fellowship (6) 5000 9 Exempt Teaching Assistantship (45) 4377-4814 9 Exempt 3-6 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (15) 4377-4814 9 Exempt A&NT 9, G&T 11, L 5, A&FA 11, AM 1, Other 1. UNIVERSITY OF NEW HAMPSHIRE M.S. and Ph. D. opportunities in Algebra, Analysis, Topology and Mathematics- Education. Small classes. Advanced work on in di vidual basis. Open stack library. Located in small New England town sixty miles from Boston. Assistantships $3400 to $4000/ academic year. M. E. Munroe, Chairman Department of Mathematics, Kingsbury Hall Durham, N.H. 03824 553 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours typa Academic year (with number anticipated 1979-19Bo) in dollars months In stipend (doll an) per week of service 1977-1978 DEPARTMENT OF STATISTICS Applications due: 3/1/79 Bachelor's by inst. 5970 Wm. E. Strawderman, Chairman Faculty 20; Published 16 Bachelor's by dept. 8 Master's by dept. 20 Fellowship (4 1/2) 5000 9 Teaching Assistantship (6) 4377-4814 9 Maxi- Teaching Ph.D, (1975-1978 incl.) mum P 1, S 1. Total: 2 15 Research Assistantship (5) 4377-4814 9 Maxi- Research mum 15 Seton HaD University, South Orange 07079 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1100 C. Franke, Chairperson Faculty 14; Published 11 Bachelor's by dept. 15 Master's by dept. 5 Teaching Assistantship (6) 260.0 9 6c Stevens Institute of Technology, Hoboken 07030 DEPARTMENT OF PURE AND APPIJED MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 210 RogerS. Pinkham, Chairman Faculty 13; Published 8 Bachelor's by dept. 20 Fellowship (2) 3200 9 Ph.D. (1975-1978 incl.) Teaching Assistantship (10) 3100-3400 9 20 L 3, A&FA 4, CS 1, AM 1, other 5. Total: 14 Trenton State College, Trenton 08625 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due:. Open Bachelor's by inst. 1100 Robert Price, Chairman Faculty 23; Published 10 Bachelor's by dept. 30 Master's by dept. 3 Teaching Assistantship (3) 2000 9 15 NEW MEXICO Eastern New Mexico University, Portales 88130 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Bachelor's by inst. 513 W. G. Calton, Chairman Faculty 9; Published 3 Bachelor's by dept. 23 Master's by dept. 10 Teaching Assistantship (4) 3850 9 289 6 New Mexico Highlands University, Las Vegas 87701 DEPARTMENT OF MATHEMATICS Applications due: 5/30/79 Bachelor's by inst. 225 Charles Searcy, Chairman Faculty 6; Published 2 Bachelor's by dept. 17 Master's by dept. 1 Fellowship (3 1/2) 2250 9 124/qtr. 15 New Mexico Institute of Mining and Technology, Socorro 87801 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/30/79 Bachelor's by inst. 105 T. A. Nartker, Head Faculty 5; Published 3 Bachelor's by dept. 5 Teaching Assistantship (3) 3800-4600 9 13/cr,hr. 20 Teaching Master's by dept. 4 Research Assistantship (2) 3600-4400 . 9 13/cr.hr. 20 Research DEPARTMENT OF MATHEMATICS Applications due: 3/30/79 Bachelor's by inst. 105 Alan Sharples, Head Faculty 8; Published 4 Bachelor's by dept. 17 Master's by dept. 1 Teaching Assistantship (6) 3800-4000 9 12. 55/cr.hr. 5-Sc Teaching University of New Mexico, Albuquerque 87131 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/79 Bachelor's by inst, 1905 Richard J. Griego, Chairman Faculty 38; ·Published 30 Bachelor's by dept. 20 Master's by dept. 4 Teaching Assistantship (22) 3800-4000 9 Waived 5° Title IX HEW Graduate and Ph. D. (1975-1978 incl.) Professional A&FA4, P2, S 7, CS 1, Fellowship (3)* 3900 9 AM 3. Total: 17 *For first year graduate students. NEW YORK Adelphi University, Garden City 11530 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1475 Donald I. Hammer, Chairman Faculty 17; Published 9 Bachelor's by dept. 17 Master's by dept. 16 Teaching Fellowship (1) 3800 9 * 20 Teaching Teaching Assistantship (10) 2500-3300 9 * 20 Teaching Ph.D. (1975-1978 incl.) Scholarship (5) 9 A&NT 1, A&FA 1, AM 2, Computer Center * other 7. Total: 11 Assistantship (2) 3000-3300 9 * 20 Teaching *Full tuition waiver. 554 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 ar 12 if not included houn type Academic year (with number anticipated 1979-1980) in dollars months in stipend ( dollan) per week of service 1977-1978 City University of New York, Brooklyn College, Brooklyn 11210 DEPARTMENT OF MATHEMATICS Applications due: 5/79 Bachelor's by inst. 3045 Lester L. Gavurin, Chairman Faculty 40; Published 26 Bachelor's by dept, 32 Master's by dept, 11 Teaching Assistantship {2) 6350-8775 9 8° Teaching City University of New York, City College, New York 10031 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1906 Jonah Mann, Chairman Faculty 50; Published 30 Bachelor's by dept. 39 Master's by dept. 3 Fellowship (1) 2000-4640 9 750/sem. 0-4 Teaching Assistantship (6) 2640-5280 9 750/sem. 4-8 Teaching City University of New York, Graduate School, New York 10036 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Ph, D. (1975-1978 incl.) Edgar A. Feldman, Executive Officer Faculty 9; Published 9 A&NT 5, G&T 2, L 1, A&FA 2, P 3, AM 11. 5 Fellowship (7) 1325-4500 12 Total: 24 Teaching Fellowship (5) 6350-8775 9 9-12 Research Assistantship (8) 1582-4935 10 5 Adjunct Lectureship {20) 3960-5280 9 6-8 City University of New York, Hunter College, New York 10021 DEPARTMENT OF MATHEMATICS Applications due: 2/20/79 Bachelor• s by inst. 1408 Thomas Jambois, Chairman Faculty 23; Published 11 Bachelor's by·dept, 26 Master's by dept. 3 Teaching Assistantship (4) 2019,60- 9 75/cr. 3-6° Teaching 4039.20 Scholarship (1) 500 9 Part-time Lecturership {2) 6350-8475 12 75/cr, 6-8° Teaching The Doctoral Program in Mathematics of The City University of New York is at the Graduate School and University Center Building of CUNY in mid-Manhattan, opposite the Public Library and Bryant Park. Advanced students have office space and there is an excellent departmental library. The student body is small enough to facilitate close contact with the staff. Financial aid in the form of fellowships, research assistantships, lectureships is available. Currently, the staff consists of Edgar A. Feldman, Executive Officer; Louis Auslander; Gilbert Baumslag; Isaac Chavel; Harvey Cohn; Eldon Dyer; Joan Dyer; David Fried; Alex Heller; Alan J. Hoffman; Raymond Hoobler; Richard E. Isaac; Stanley Kaplan; Linda Keen; Alan J. Konheim; Joseph Lewittes; Edwin E. Moise; Martin Moskowitz; Burton Randol; Harry E. Rauch; Joseph Roitberg; Richard Sacksteder; Raymond M. Smull yan; Michael Shub; Philip Wolfe; Alphonse T. Vasquez. For a description of courses current!y offered and other information, write to the Executive Officer in Mathematics The Graduate School THE CITY UNIVERSITY OF NEW YORK 33 West 42nd Street New York, New York 10036 555 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistonce amount 9 or 12 If not included houn type Academic year (with numberanticipatecl1979-~1980) in dollars months in stipend ( doJian) per wHk ofsemce 19n-1978 City University of New York, Queens CoUege, Flushing 11367 DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/79 Bachelor's by inst. 3061 John Moyne, Chairman Faculty 12; Published 11 Bachelor's by dept. 50 Master's by dept. 5 Teaching Assistantship (3) 22/hr. 9 3-6c Research Assistantship (1) 5000 12 20 DEPARTMENT OF MATHEMATICS Applications due: 5/15/79 Bachelor's by inst. 3061 Joseph Hershenov, Chairman Faculty 45; Published 35 Bachelor's by dept. 46 Teaching Assistantship (6) 2700-6350 9 * 4-8 Teaching *Resident: $75 per credit; nonresident: $95 per credit. Clarkson College of Technology, Potsdam 13676 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE APPlications due: 3/30/79 Bachelor's by inst. 794 A. C. Newell, Chairman Faculty 22; Published 18 Bachelor's by dept. 21 Master's by dept. 4 Teaching Assistantship (20) 4500-6000 9 Research Assistantship (2) 4500-6000 9 Ph.D. (1975-1978 incl.) AM 1. Total: 1 Columbia University, New York 10027 DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE Applications due: 2/1/79 Bachelor's by inst. 1256 M. C. Teich, Chairman Faculty 20; Published 6 Bachelor's by dept. 41 Master's by dept. 24 Fellowship (6) 3000 9 Teaching Assistantship (15) 2400 9 20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (15) 4600 12 20 Research CS 3. Total: 3 Readers (2) 600-750 9 1/2 tuition 10 Teaching Graders (6) 600-750 9 Full tuition 10 Teaching DEPARTMENT OF MATHEMATICAL STATISTICS Applications due: 1/9/79 Bachelor's by inst. 1256 Howard Levene, Chairman Faculty 12 Bachelor's by dept. 20 Master's by dept. 5 Fellowship (11) 3525 9 Exempt 10 Teaching, assisting Ph.D. (1975-1978 incl.) Graduate Research P 3, s 6, CS 2. Total: 11 Assistantship (4) 4700 9 Exempt 27 Research DEPARTMENT OF MATHEMATICS Applications due: 1/8/79* Bachelor's by inst. 1256 Hyman Bass, Chairman Faculty 23; Published 21 Bachelor's by dept. 14 Fellowship (33) 3525-3600 9 ** Ph.D. (1975-1978 incl.) Research Assistantship*** A&NT 7, G&T 5, A&FA 7. Total: 19 *Late applications considered to March 12, 1979. **Students are accepted as Ph.D. candidates only. All graduate students are currently granted 4 years of support with tuition exemption. Students are required to serve as teaching assistants for 2 of the 4 years. ***All supported students are officially designated as Fellows. However, of those Fellows, 7 per academic year receive their stipends through the NSF in the form of a Graduate Research Assistantship. Cornell University, Ithaca 14853 CENTER FOR APPLIED MATHEMATICS Applications due: 1/15/79* Bachelor's by inst. 2995 John E. Dennis, Acting Director Faculty 1 Master's by dept. 2 Fellowship (7) 4000-8500 9 Ph.D. (1975-1978 incl.) Teaching Assistantship (12) 8200-8400 9 15 Teaching AM 19. Total: 19 Research Assistantship (3) 8200-8400 9 *For new students. BIOMETRICS UNIT APplications due: None Bachelor's by inst. 2995 Daniel L. Solomon, Chairman Faculty 6; Published 5 Bachelor's by dept. 3 Fellowship (1) 3000 12 Teaching Assistantship (7) 3400-4100 9 15 Research Assistantship (7) 1847-1942 3 15 DEPARTMENT OF COMPUTER SCIENCE APPlications due:* Bachelor's by inst. 2995 Juris Hartmanis, Chairman Faculty 15; Published 2 Master's by dept. 8 Fellowship (4) 3600-4600 9 5200 Ph.D. (1975-1978 incl.) Teaching Fellowship (1) 3600-4600 9 5200 CS 23. Total: 23 Teaching Assistantship (24) 3400-3600 9 5200 15 Research Assistantship (8) 3400-3600 9 5200 15 *Fellowship: 1/15/79; Assistantship: 2/15/79. 556 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial allistance amount 9 or 12 if not induded hours type Academic Y"' (with number antlclpated 1979-1980) in dollars months in stipend ( dollan) per weelc ofHrvice 1977-1978 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 2995 Clifford J. Earle, Chairman Faculty 42; Published 34 Bachelor's by dept, 40 Master's by dept. Fellowship (4) 3000-3600 9 0-4 6 Teaching Assistantship (45) 3400-3600 9 15 Ph.D, (1975-1978 incl.) Research Assistantship (3) 3000 9 0-4 A&NT 7, G&T 3, L 6, A&FA2, P 7, S 1, AM 1. Total: 27 Fordham University, New York 10458 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 1518 Edward W. Brande, Chairman Faculty 16; Published 14 Bachelor's by dept. 16 Master's by dept, 2 Fellowship (1) 3000-4000 9 Scholarship (5) 9 Ph. D. (1975-1978 incl.) Graduate Assistantship (6) 2800-3200 9 G&T 1, A&FA 4, Total: 5 Long Island University, C. W. Post College, Greenvale 11548 DEPARTMENT OF MATHEMATICS Applications due: 4/25/79 Bachelor's by inst. 1435 Elliott Bird, Chairman Faculty 15; Published 11 Bachelor's by dept. 12 Master's by dept, Assistantship (4) 1800 9 18 6 New York University-Courant Institute of Mathematical Sciences, New York 10012 DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/12/79 Bachelor's by inst. 876 Peter D, Lax, Director, Courant Institute of Mathematical Faculty 13; Published 10 Bachelor's by dept. 22 Sciences Master's by dept. 22 Robert B. K. Dewar, Chairman, Department of Computer Ph.D. (1975-1978 incl.) science CS 7. Total: 7 Teaching Assistantship (12) 3800-4000 9 Tutoring Research Assistantship (20) 4050 9 Individual DEPARTMENT OF MATHEMATICS Applications due: 1/12/79 Bachelor's by inst. 876 Peter D. Lax, Director, Courant Institute of Mathematical Faculty 50; Published 45 Bachelor's by dept. 31 Sciences Master's by dept. 34 Jerome Berkowitz, Chairman, Department of Mathematics Ph.D. (1975.:.1978 incl.) Fellowship (4) 3900-5500 12 A&NT 7, G&T 2, L 2, Teaching Assistantship (6) 3800-4000 9 6 Teaching A&FA 7, P 2, OR 1, Research Assistantship (30) 4050 9 Individual AM 22, other 4. Total: 47 Scholarship (5) Tuition only Polytechnic Institute of New York, Brooklyn 11201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 411 Harry Hochstadt, Chairman Faculty 20; Published 10 Bachelor's by dept. 12 Master's by dept, .10 Teaching Fellowship (10) 2000-2400 9 4 Teaching Ph. D. (1975-1978 incl.) A&NT 7, G&T 1, A&FA 6, AM 2, Total: 16 Rensselaer Polytechnic Institute, Troy 12181 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 2/15/79 Bachelor's by inst. 883 R. C. DiPrima, Chairman Faculty 31; Published 26 Bachelor's by dept. 48 Teaching Assistantship (34) 3700-4400 9 200 fees 20 Teaching, Master's by dept. 50 grading Ph. D. (1975-1978 incl.) Research Assistantship (8) 3700-4400 9 200 fees 20 Research A&NT 1, A& FA 1, S 7, Scholarship (15) Varies OR 6, CS 2, AM 7. Total: 24 POLYTECHNIC INSTITUTE OF BROOKLYN --Graduate Study In Mathematics-- LOCATION: Brooklyn Campus, and Long Island Center at Farmingdale, Long Island, New York. DEGREES: M.S. and Ph.D. FIELDS: Applied Mathematics, Algebra, Analysis, Probability, Statistics, etc. AVAILABLE MINOR OPTIONS: Applied Mechanics, Aerospace Engineering, Electrophysics, Com- munication Theory, Automatic Control, Network Theory, Physics, etc. FELLOWSHIPS: Teaching, Research. Write for information to: Dean of Graduate School • • or • • • Department of Mathematics Polytechnic Institute of Brooklyn 333 Jay Street Brooklyn, New York 1 1201 557 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial ossistonce amount 9 or 12 if not included houn type Academk:y-. (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 St. John's University, Jamaica 11439 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/79 Bachelor's by inst. 2069 Richard C. Morgan, Chairman Faculty 18; Published 10 Bachelor's by dept. 12 Teaching Assistantship (9) 2500-2700 9 15 State University College at Cortland 13045 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1200 T. 0 1 Loughlin, Chairman Faculty 16, Published 7 Bachelor's by dept. 22 Master's by dept. 4 Teaching Assistantship (1) 2500-3000 9 * 20 *Resident: $1400; nonresident: $1800. State University College at Fredonia 14063 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 771 Frank R. Olson, Chairman Faculty 18; Published 6 Bachelor's by dept. 21 Master's by dept. Teaching Assistantship (2) 2400 9 3 6 State University of New York at Albany 12222 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/15/79* Bachelor's by inst. 2130 EdwardS. Thomas, Chairman Faculty 40; Published 30 Bachelor•s·by dept. 80 Master's by dept. 8 Fellowship (30)** 4300 9 Full- Study timg Ph. D. (1975-1978 incl.) Teaching Assistantship (19) 3500-3900 9 3-4 Teaching A&FA 1. Total: 1 Summer Research Assistantship (10) 500-1000 2 Full- Study time Departmental Fellowship (4) 3500-3900 9 Full- Study time *Late applications will be considered. **Competitive. w~~-~~------~------c ~ ~ ~ STATE UNIVERSITY OF NEW YORK AT ALBANY ~ ~ The Department of Mathematics and Statistics offers individualized graduate study leading to the ~ l M.A. and Ph.D. degrees. l ~ Master of Arts studies are offered in mathematics, statistics, biostatistics, actuarial mathematics and ~ll ; mathematics for secondary school teaching. , ~ Study leading to the Ph.D. is offered in many areas of mathematics, including complex analysis, l l functional and harmonic analysis, algebra and algebraic geometry, geometric topology, differential l l equations, probability and statistics. l ~ The newly enlarged faculty in statistics provides opportunity'for doctoral study which combines ~ l mathematics and theoretical statistics with applications. Examples of recent applications have included ~ ~ estimating the money supply, modelling to improve care of critical injuries, evaluating new cancer therapies, l ~ and me~:~~~!::;~~~::s e::e~~sl:vnel~a~;ef:~:n opportunities for individual growth by working closely with ~ ' faculty and fellow students on a variety of theoretical and applied projects. l ! Financial aid is available to qualified students at all levels. ~ ! For further information please write to: ~ I l ! DIRECTOR OF GRADUATE STUDIES ~ ! Department of Mathematics and Statistics ~ ~ State University of New York at Albany ! l~ Albany, NY 12222 l~ ~ (An Equal Opportunity Employer) ! L--~~-~~~~-~~~~~~~~-~~~~-~~~--~~-~-~--~~~~--~-J 558 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial Otaistance amount 9 or 12 if not indudecl hours lypo Academic year (with numloeranllclpalecl1979-1980) In dollars months in stipend ( dollan) per wHk of service 1977-1978 State University of New York at Binghamton 13901 DEPARTMENT OF MATHEMATICAL SCIENCES APPlications due: 3/1/79 Bachelor's by inst. 1465 Allen D. Ziebur, Chairman Faculty 24 Bachelor's by dept. 91 Master's by dept. 18 Teaching Fellowship (8) 2000-3900 9 4-8 Assisting Teaching Assistantship (24) 2600-5100 9 4c Teaching Ph.D. (1975-1978 incl. ) Research Assistantship (2) 3600-5100 12 20 Research G&T 3, S 1, other 1. Total: 5 State University of New York at Buffalo, Amherst 14226 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst. 3140 Stuart C. Shapiro, Acting Chairman Faculty 11; Published 9 Bachelor's by dept. 38 Master's by dept. 20 Fellowship (2) 3750-4500 9 Teaching Assistantship (17) 3500-5100 9 10 Teaching Ph. D. (1975-1978 incl.) Research Assistantship (14) 3500-5100 9 16 Research S 3, CS 3. Total: 6 DEPARTMENT OF STATISTICS Applications due: 3/15/79 Bachelor's by inst. 3140 Norman C. Severo, Chairman Faculty 9; Published 7 Bachelor's by dept. 15 Master's by dept. 4 Teaching Assistantship (6) 3800-6000 9 12-20 Research Assistantship (8) 3800-6000 9 12-20 State University of New York at Buffalo 14214 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 3140 John W. Duskin, Acting Chairman Faculty 43; Published 43 Bachelor's by dept. 36 Master's by dept. 17 Fellowship (3) 3750-5000 9 Waived Teaching Assistantship (43) 3250-5100 9 Waived 4c Ph. D. (1975-1978 incl.) A&NT 3, G&T 6, A&FA 4, AM 5. Total: 18 STATE UNIVERSITY OF NEW YORK AT BUFFALO SUNY /Buffalo has an active program in graduate mathematics leading to both M.A. and Ph.D. degrees. Doctorates are offered in algebra, real and complex analysis, differential equations, applied mathematics, functional analysis, logic, number theory, and topology. Interdisciplinary work, especially in mathematical biology, is being expanded and encouraged. Assistantship support has recently been increased to a maximum of $5,100/year (minimum $~.100). Duties involve lecturing and conducting recitation sections, as well as some paper grading. The university also offers both three year graduate fellowships at $5,000/year and one year fellowships at $3,750. Assistantships, as well as fellow ships, carry full tuition waivers. For additional information and application forms, write to: Director of Graduate Studies--Department of Mathematics STATE UNIVERSITY OF NEW YORK AT BUFFALO Diefendorf Hall- Buffalo, New York 14214 STATE UNIVERSITY OF NEW YORK AT BUFFALO The Department of Mathematics expects to award George William Hill and Emmy Noether Research Instructorships for 1979·80. Applicants should be recent or prospective Ph.D.'s whose degrees will be completed by September 1, 1979, each appointment being for two years. The twelve-month stipend, beginning September 1979, is $16,200 including gerterous staff benefits. Teach· ing load will total two one-semester courses during the twelve-month period. Upon expiration of the two-year appointment, priority consideration for a two-year appointment as assistant professor will be given and will be based upon success and potential in both research and teaching. Each applicant should prepare a summary of his or her post-high school educational background, as well as a sketch of past and projected research activity, and should request at least four mathematicians to send letters of recommendation. Application forms are available upon request. Applica tions and supporting letters should be sent to Chairman, Department of Mathematics SUNY at Buffalo, 106 Diefendorf Hall, Buffalo, New York 14214 so as to arrive by January 20, 1979. SUNY at Buffalo is an Equal Opportunity/Affirmative Action Employer. We are interested in identifying prospective minority and woman candidates. No person in whatever relation with SUNY /Buffalo shall be subject to discrimination on the basis of race, ethnic background, national origin, religion, color, age, sex or condition of handicap. 559 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 State University of New York at Stony Brook 11794 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 2500 Irwin Kra, Chairman Faculty 37; Published 32 Bachelor's by dept. 24 Master's by dept, 20 Teaching Fellowship (2-4) 6000 12-4 Teaching Teaching Assistantship (40-45) 3500-3900 9-4 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (5-10) 2000-3900 9-4 Teaching, A&NT 5, G&T 8, A&FA 12. research Total: 25 *Assistantship: 3/1/79; Fellowship: 2/1/79 for first round of offers. Syracuse University, Syracuse 13210 SCHOOL OF COMPUTER AND IN.l!'ORMATION SCIENCE Applications due: 3/1/79 Bachelor's by inst. 2486 Warren Semon, Dean Faculty 15; Published 9 Bachelor's by dept. 14 Master's by dept. 34 Fellowship (2) 4000 9 Teaching Assistantship (4) 4400 9 20 Ph.D. (1975-1978 incl.) Research Assistantship (2) 4400 9 20 CS 18. Total: 18 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by in st. 2486 Erik Hemmingsen, Chairman Faculty 35; Published 21 Bachelor• s by dept. 11 Master's by dept. 6 Fellowship (2) 4000 9 Teaching Assistantship (25) 4000-4700 10 6c Teaching Ph.D. (1975-1978 incl.) G&T 2, A&FA 9, CS 1. Total: 12 University of Rochester, Rochester 14627 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 1063 Jerome A. Feldman, Chairman Faculty 11; Published 11 Bachelor's by dept. 6 Master's by dept. 7 Fellowship (22) 3600-4000 9 15 Research Research Assistantship (22) 3600-4000 9 3700 15 Research DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1063 Gail S. Young, Chairman Faculty 23; Published 20 Bachelor's by dept. 35 Fellowship (10)* 1000 9 Ph.D. (1975-1978 incl.) Teaching Assistantship (25)* 1600-4000 9 A&NT 2, G&T 2, L 1, Scholarship (10) A&FA 3, OR 1, AM 1. Total: 10 *Several students do and will hold a Fellowship in addition to their teaching assistantship. DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by inst. 1063 W.J. Hall, Chairman Faculty 7; Published 7 Bachelor's by dept. 11 Master's by dept. 9 Teaching Assistantship (12) 2200-4000 9 12-15 Research Assistantship (2) 2000-7000 9-12 12-30 Ph. D. (1975-1978 incl.) Tech Associateship (1) 4200 9 20 S 9. Total: 9 NORTH CAROLINA Appalachian State University, Boone 28608 DEPARTMENT OF MATHEMATICAL SCIENCES Bachelor's by inst. 1154 H. W. Paul, Acting Chairman Faculty 21; Published 4 Bachelor's by dept. 14 Master's by dept, 4 Teaching Assistantship (8) 2800-4200 9 Duke University, Durham 27706 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/79 Bachelor's by inst. 1399 Merrell L, Patrick, Chairman Faculty 8; Published 8 Bachelor's by dept. 16 Master's by dept. 9 Fellowship (2) 4200 12 c Teaching Assistantship (4) 2500 9 3 Teaching Ph. D. (1975-1978 incl.) Research Assistantship (12) 3000-6000 9 20 Research CS 5. Total: 5 Scholarship (3) 2000 9 2000 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 1399 Seth Warner, Chairman Faculty 26; Published 25 Bachelor's by dept. 13 Master's by dept. 8 Fellowship (8) 3000-4000 9 6 Tutoring Teaching Assistantship (3) 6000 9 2286 6c Teaching Ph. D. (1975-1978 incl.) A&NT 3, G&T 1, L 2, A&FA 4, P 1. Total: 11 East Carolina University, Greenville 27834 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor• s by inst. 1949 Robert C. Shock, Chairperson Faculty 36; Published 9 Bachelor's by dept. 14 Master's by dept. 10 Teaching Fellowship (22) 2500 9 * 5 Teaching Computer and Office Institutional Research (4) 2500 9 15 Assist in * Computer *$520 per year in-state; $2240 per year (out-of-state); Lab or OIR $950 per year (special talent tuition, out-of-state). 560 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED of Rnancial a11istance amount 9 or 12 if not included hours type Academic year (with number anticipatecl1979 1980) in dollars months in stipend ( dollan) per week of service 1977-1978 North Carolina State University, Raleigh 27650 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 2622 James M, Ortega, Head Faculty 65; Published 44 Bachelor's by dept. 30 Master's by dept, 10 Teaching Assistantship (50) 4500-5200 9 560 15-20 Teaching Ph.D. (1975-1978 incl.) A&NT 5, G&T 1, A&FA 3, CS 1, AM 2. Total: 12 DEPARTMENT OF MATHEMATICS AND SCIENCE EDUCATION Faculty 6; Published 1 Bachelor's by inst. 2622 Herbert E. Speece, Head Bachelor's by dept. 28 Teaching Assistantship None confirmed at this time. Master's by dept. 4 Ph. D. (1975-1978 incl.) ME 2. Total: 2 DEPARTMENT OF OPERATIONS RESEARCH Application!! due: 2/1/79 Bachelor's by inst. 2622 Salah E. Elmaghraby, Director Faculty 6; Published 4 Master's by dept. 4 Fellowship (1) 4800-5200 9 425 20 Research Ph. D. (1975-1978 incl.) Teaching Assistantship (4) 3400-4500 9 425 20 Teaching OR 5. Total: 5 Research Assistantship (5) 3400-4500 9 425 20 Research DEPARTMENT OF STATISTICS Applications due: 3/1/79 Bachelor's by inst. 2622 D.D. Mason, Head Faculty 40; Published 25 Bachelor's by dept. 5 Master's by dept. 21 Fellowship (2) 5000 12 Teaching Assistantship (14) 3400-5200 9 * 0-20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (9) 3600-6000 12 * 0-20 Research S 5, other 1. Total: 6 *See catalog. University of North Carolina, Chapel Hill 27514 DEPARTMENT OF BIOSTATISTICS Applications due: 3/15/79 Bachelor's by inst. 3178 James E. Grizzle, Head Faculty 33; Published 36 Bachelor's by dept. 1 Fellowship (31)* 3900 12 Master's by dept. 15 Research Assistantship (19) 6118-7802 12 20 Ph.D. (1975-1978 incl.) S 7. Total: 7 *All fellowships are for continuing students. DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 3178 William W. Smith, Chairman Faculty 32; Published 26 Bachelor's by dept. 54 Master's by dept. 2 Fellowship (1) * 3000-4500 525/yr. Research Teaching Fellowship (2)* 5050 9 525/yr, 3 ** Ph. D. (1975-1978 incl.) Teaching Assistantship (23) 4300-5500 9 525/yr. 6 *** A&NT 1, G&T 1, A&FA 3, Research Assistantship (1)* 3000 9 525/yr. 3 Research Other 1. Total: 6 University Grant in Astronomy (1)* 4500 525/yr. *Amount is usually supplemented with partial teaching assistantship. **Teach one course per semester. ***Teach one course per semester; assist one course. DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/79 Bachelor's by in~t. 3178 Jon W. Tolle, Chairman Faculty 8; Published 8 Master's by dept. 8 Fellowship (3-5) 3500-4000 9 266/sem, 0-5 Ph.D, (1975-1978 incl.) Teaching Assistantship (10-15) 3300-4200 9 266/sem. 5-10 OR 3. Total: 3 Research Assistantship (5) 3600-4200 9 & 12 266/sem. 10 NORTH CAROLINA STATE UNIVERSITY The department of mathematics offers programs of study leading to M.S. and Ph:D. degrees in pure and applied mathematics. A graduate faculty of more than fifty represents a wide variety of research interests with particular strength in applicable mathematics and in the application of mathematics to current problems. Active cooperation with the Schools of Engineering, Agriculture and Life Sciences, and with other departments in the School of Physical and Mathematical Sciences results in a climate particularly favorable to the development of an appreciation for and an understanding of applied mathematics. This cooperation is in part cemented with joint faculty appointments with computer science, operations research, biomathematics, physics, statistics, and mathematics education. N. C. State is located in Raleigh, capital of North Carolina and one of the vertices of the Research Triangle. Cultural, scholastic, and recreational opportunities abound. Teaching and research assistantships and scholarships are available. Summer support is also possible. For detailed information concerning the department admission and degree requirements, and financial assistance together with application forms write to The Department of Mathematics P. 0. Box 5548, Raleigh, N. C. 27650 561 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979--1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of North Carolina, Charlotte 28223 DEPARTMENT OF MATHEMATICS Applications due: 7/1/79 Bachelor's by inst. 1287 J.F. Schell, Chairman Faculty 32; Published 10 Bachelor's by dept. 28 Master's by dept. 5 Teaching Assistantship (6) 3500 9 505* 6c Teaching *For out-of-state residents tuition is $2235 per academic year. University of North Carolina at Greensboro 27412 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1280 E. E. Posey, Head Faculty 25; Published 12 Bachelor's by dept. 40 Master's by dept. 20 Teaching Assistantship (18) 3200 9 350 6 Wake Forest University, Winston-Salem 27109. DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 664 Ivey C. Gentry, Chairman Faculty 13; Published 7 Bachelor's by dept. 37 Master's by dept. 2 Fellowship (4) 4600 9 3000 Teaching Assistantship (2) 6500-6700 9 3000 Scholarship (4) 3000 9 3000 Western Carolina University, Cullowhee 27823 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 610 Charles J. Martin, Head Faculty 19; Published 7 Bachelor's by dept. 8 Master's by dept. 2 Teaching Assistantship (6) 3000-4000 9 * 3-4c Teaching Tutorial Assistantship (2) 3000 9 15-20 Tutoring *In-state: $155 per semester; out-of-state: $1024 per semester, with some waivers. NORTH DAKOTA North Dakota State University, Fargo 58102 DEPARTMENT OF MATHEMATICAL SCIENCE Bachelor's by inst. 1093 Leonard Shapiro, Chairman Faculty 22; Published 13 Bachelor's by dept. 15 Master's by dept. 3 Teaching Assistantship (8) 3300-3600 9 20 Teaching C. s. Internship (2) 3000-7000 12 510 20 Research OHIO Bowling Green State University, Bowling Green 43403 DEPARTMENT OF APPLIED STATISTICS AND OPERATIONS RESEARCH Applications due: 3/1/79 Bachelor's by inst, 2779 Robert A. Patton, Chairman Faculty 12; Published 6 Bachelor's by dept, 8 Master's by dept. 3 Teaching Assistantship (6) 3400 9 15-20 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/79 Bachelor's by inst. 2779 David L. Fulton, Chair Faculty 12; Published 10 Bachelor's by dept. 50 Master's by dept. 15 Teaching Assistantship (6) 3400 9 20 Research Assistantship (7) 3400 9 20 UNIVERSITY OF NORTH CAROLINA The Department of Mathematics offers programs leading to the degrees Master of Arts, Master of Science, and Doctor of Philosophy. There is great flexibility in arranging the masters degree program to include course work in Operations Research and Systems Analysis, Statistics, Computer Science and other areas related to mathematical sciences. Financial assistance is available and can be obtained by writing to address below. Faculty members are active in research especially in the fields of classical analysis, algebra, combinatorics, differential geometry, dynamical systems, algebraic topology, foliation theory, and algebraic geometry· Department of Mathematics University of North Carolina at Chapel Hill N.C. 27514 Equal Opportunity/Affirmative Action Employer 562 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED Gf financial assistance amount 9 or 12 If not includecl houn type Aca.micyear (with numberanHcipatad 1979-1980) In dollan months In stipend ( dollan) per week of service 1977-1978 DEPARTMENT OF MATHEMATICS AND STATISTICS Bachelor's by inst, 2779 W, L. Terwilliger, Chair Faculty 32; Published 24 Bachelor's by dept, 36 Master's by dept, 6 Fellowship (4) 3000 12 Teaching Fellowship (15) 4300-4700 9 87/qtr. 20 Teaching Ph.D, (1975-1978 incl.) Teaching Assistantship (20) 4000 9 87/qtr, 20 Teaching A&NT 6, P 3, S 1. Total: 10 Scholarship (3) * 3900 12 *Graduate opportunity fellowship. Case Western Reserve University, Cleveland 44106 DEPARTMENT OF BIOMETRY Applications due: 3/15/79 Master's by dept, 3 H, B. Houser, Chairman Faculty 9 Fellowship (3) 2700-5500 9 3600 10 Research Assistantship (2) 2700-5000 9 3600 Varies DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst, 471 Stephen Kahne, Chairman Faculty 8; Published 6 Bachelor's by dept, 25 Master• s by dept. 8 Fellowship (2) 2925 9 Teaching Assistantship (8) 5805-6030 9 295/mo. 15 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (5) 7740-8040 12 295/mo, 15 Research CS 11. Total: 11 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/79 Bachelor's by inst, 655 Shelemyahu Zacks, Chairman Faculty 26; Published 23 Bachelor's by dept. 9 Master's by dept. 7 Teaching Assistantship (7) 3600* 9 3 or 4c Research Assistantship (1 or 2) 3600* 9 15-20 Ph. D. (1975-1978 incl.) G&T 3, A&FA 2, P 4, *Plus tuition. S 3, AM 1. Total: 13 DEPARTMENT OF OPERATIONS RESEARCH Applications due: 4/79 Master's by dept, 16 Faculty 10; Published 10 Hamilton Emmops, Chairman Ph.D. (1975-1978 incl.) Fellowship (4) 5355- 9 20 Research OR 22. Total: 22 7322,76 Graduate Assistantship (17) 5355 9 20 Teaching or research Tuition Fellowship (2) 9 3900 12 Teaching or research Cleveland State University, Cleveland 44123 DEPARTMENT OF MATHEMATICS Applications due: 5/15/79 Bachelor's by inst. 1190 R.R. Stoll, Chairman Faculty 27; Published 15 Bachelor's by dept. 20 Teaching Assistantship (3) 3000 9 20 Teaching, Master's by dept. 7 grading John Carroll University, Cleveland 44118 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 * Bachelor• s by inst. 239 Leo J. Schneider, Chairman Faculty 9; Published 3 Bachelor's by dept. 12 Teaching Assistantship (7) 2600 9 20 Teaching, Master's by dept, 6 *Late applications accepted. tutoring DEPARTMENT OF MATHEMATICS AND STATISTICS BOWLING GREEN STATE UNIVERSITY The Department of Mathematics and Statistics offers master's and Ph.D. programs in mathematics and statistics, a Master of Arts in Teaching program, and a master's program in applied statistics. Each student's course of study is tailored to his or her individual needs and career objectives. Send requests to: Dr. L. David Sabbagh Department of Mathematics and Statistics Bowling Green State University Bowling Green, Ohio 43403 563 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Anancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars} per week of service 1977-1978 Kent State University, Kent 44242 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79* Bachelor's by inst. 2786 0. P. Stackelberg, Chairman Bachelor's by dept. 41 Master's by dept. 3 Fellowship (1) 3200 9 Teaching Fellowship (9) 4300-4500 9 5° Teaching Ph. D. (1975-1978 incl.) Teaching Assistantship (19) 3600-3700 9 5° Teaching A&NT 2, G&T 2, A&FA 3, Research Assistantship (1) 4400 12 10 Research other 2. Total: 9 *Late applications will be considered. Miami University, Oxford 45056 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/15/79 Bachelor's by inst. 2955 S. E. Bohn, Professor Faculty 32; Published 20 Bachelor's by dept. 57 Master's by dept. 12 Teaching Assistantship (24) 3600 9 18-20 Ohio State University, Columbus 43210 DEPARTMENT OF COMPUTER AND INFORMATION Applications due: 2/1/79 Bachelor's by inst. 7037 SCIENCE Faculty 20; Published 1 Bachelor's by dept. 125 Lee J. White, Acting Chairman Master's by dept. 54 Fellowship (15) 3600 12 Ph. D. (1975-1978 incl.) Teaching Assistantship (47) 3600-5700 9;12 15-20 Teaching CS 2 7. Total: 27 Research Assistantship (15) 3375-5400 9;12 20 Research Computer Center (3) 4500-5000 12 20 Program- ming, research Ohio College Library Center (OCLC) (2) 4200-4500 12 Program ming, research THE OHIO STATE UNIVERSITY The Department of Mathematics at The Ohio State University offers a number of Fellow ships and Teaching Assistantships for qualified graduate students. The Fellowship stipend ranges from $3600 to $4500 for the academic year, plus $1000 for the summer. The Teaching Assistantship stipend ranges from $3600 to $4680 for the academic year. Both Fellowships and Assistantships include a waiver of tuition fees. An assistant during the academic year may register for courses in the following summer without payment of fees whether or not he is awarded an additional summer teaching assistantship. Each financial aid offer to a new graduate student will carry an additional grant for the 1979 Summer Quarter of $1000 plus tuition fees and no teaching duties. A teaching assistant at Ohio State assists with only one course at the calculus or pre calculus level. This assignment involves four to six classroom contact hours per week, plus other duties such as preparation, grading, and consultation with students for a total of no more than 20 hours per week. Graduate programs leading to the M.S. degree are available in theoretical mathematics, applied mathematics, or interdisciplinary studies. Graduate programs leading to the Ph. D. degree are offered in .4/gebra, Analysis, ,4pp!ied Mathetnatics, Cornblnatorial Anai}'Sis, Functional Analysis, Geometry, Logic, Number Theory, Probability and Ergodic Theory, and Topology. Further information and application forms may be obtained by writing to: Chairman - Department of Mathematics - The Ohio State University 231 W. 18th Avenue -Columbus -Ohio 43210 Applications for fellowships should be submitted by February 15, 1979. Applications for assistantships will be considered through July 1, 1979. 564 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal atsistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980} in dollars months in stipend (dollars) per week of service 1977-1978 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 7037 Joan Leitzel, Acting Chairman Faculty 80; Published 56 Bachelor's by dept, 25 Fellowship (20-25) 4200-5600 12 Master's by dept, 10 Teaching Fellowship** 2 00-800 9 Ph, D. (1975-1978 incl.) Teaching Assistantship (150) 3600-4680 9 20 A&NT 14, G&T 4, A&FA 4, Summer Stipend (50)*** 1000 P 2, AM 1, other 10. Total: 35 *Fellowship: 2/1/79; Assistantship: 7/15/79. **'Augment stipends to qualified teaching assistants. ***Summer stipend to support study preceding first year of graduate study. DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by inst. 7037 D.R. Whitoey, Chairman Faculty 13; Published 10 Bachelor's by dept. 4 Master's by dept. Fellowship (4) 3000-3600 10 12 Teaching Assistantship (32) 3600-5000 9 5c Teaching Ph. D. (1975-1978 incl.) S 17. Total: 17 Ohio University, Athens 45701 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2103 D.O. Norris, Chairman Faculty 24; Published 9 Bachelor's by dept. 25 Master's by dept. Research Assistantship (19) 3200-4200 9-12 * 5° Teaching 5 *$70 student activity fee, Ph. D. (1975-1978 incl.) A&NT 2, G&T 1, L 1, A&FA 1. Total: 5 University of Akron, Akron 44325 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/79 Bachelor's by inst. 1863 W.H. Beyer, Head Faculty 22; Published 8 Bachelor's by dept. 18 Master's by dept. 9 Teaching Assistantship (20) 2850-3000 9 15-20 Teaching University of Cincinnati, Cincinnati 45221 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/79 Bachelor's by dept, 22 K.R. Meyer, Chairman Faculty 34; Published 30 Master's by dept, 6 Fellowship (4) 3700-4200 9 Ph.D, (1976-1978 incl.) Teach4!g Assistantship (33) 3700 9 11 A&NT 2, A&FA 3, S 3, AM 1, DE 2. Total: 11 University of Cincinnati Medical College, Cincinnati 45267 DIVISION OF EPIDEMIOLOGY AND BIOSTATISTICS Applications due: 4/1/79 Master's by dept. 3 Charles Ralph Buncher, Director Faculty 9; Published 2 Ph.D, (1975-1978 incl.) Fellowship (4) 4100 12 S 1. other 1. Total: 2 Research Assistantship (3) 3600 12 15-20 Research Scholarship (5) Tuitionship 12 U Diversity of Dayton, Dayton 45469 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 1176 John McCloskey, Chairman Faculty 12; Published 6 Bachelor's by dept. 17 Master's by dept. Teaching Assistantship (6) 3200-3600 9 6c 3 Research Assistantship (2) 3200-3600 9 20 University of Toledo, Toledo 43606 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 800 S, S. Blakney, Chairman Faculty 26; Published 13 Bachelor's by dept. 20 Master's by dept. 5 Fellowship (1-2) 3000-4000 9 56/qtr. Teaching Assistantship (17) 3250-4200 9 56/qtr. 4-6c Ph. D. (1975-1978 incl.) Scholarship (4) 9 AM 2, Total: 2 565 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal auistance amount 9 or 12 if not induded houn type Academic year (with number anticipated 1979-1980} in dollars months in stipend (dollars) per week of service 1977-1978 Wright State University, Dayton 45435 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 1086 J. Brandeberry, Chairman Faculty 13; Published 7 Bachelor's by dept. 25 Master's by dept. 6 Teaching Assistantship (12) 3300-3400 9 7/cr.hr. 20 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79* Bachelor's by inst. 1086 Edgar A. Rutter, Chairman Faculty 21; Published 12 Bachelor's by dept. 7 9 Teaching Assistantship (10) 3300-3400 9 7 I cr. hr • 16 Teaching** Master's by dept. *Late applications accepted. **Teaching and/or tutoring in supplemental instruction program. Youngstown State University, Youngstown 44555 DEPARTMENT OF MATHEMATICAL AND COMPUTER Bachelor's by dept. 30 SCIENCES Dean R. Brown, Chairman Faculty 26 Teaching Assistantship (3) 2900 9 210 Scholarship (2) OKLAHOMA Oklahoma State University, Stillwater 74074 DEPARTMENT OF COMPUTING AND INFORMATION SCIENCES Applications due: 3/1/79 Bachelor's by inst. 2393 J. Richard Phillips, Chairman Faculty 5; Published 5 Master's by dept. 4 Teaching Assistantship (11) 3735 9 * 20 *$17. 50 undergraduate; $20. 75 graduate. DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 2393 Shair Ahmad, Chairman Faculty 35; Published 18 Bachelor's by dept. 15 Master's by dept. 3 Teaching Assistantship (51) 3735-3915 9 20.75/cr.hr. 5-6 Teaching Ph.D. (1975-1978 incl.) A&NT 1, G&T 2, A&FA4, P 1, other 5. Total: 13 DEPARTMENT OF STATISTICS Applications due: 3/1/79 Bachelor's by inst. 2393 J. Leroy Folks, Chairman Faculty 10; Published 9 Master's by dept. 5 Teaching Assistantship (9) 3735-3915 9 * 20 Ph.D. (1975-1978 incl.) S 9. Total: 9 *$17. 50 undergraduate; $20.75 graduate. University of Oklahoma, Norman 73019 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 2301 Morris L. Marx, Chairman Faculty 32; Published 26 Bachelor's by dept. 45 Master's by dept. 8 Teaching Fellowship (1-2) 4600-5000 9 20.75/cr.hr. 406c Teaching Teaching Assistantship (30) 3600-4000 9 20.75/cr.hr. 6 Teaching Ph.D. (1975-1978 incl.) A&NT 3, G&T 4, CS 1, ME 2. Total: 10 WRIGHT STATE UNIVERSITY The Department of Mathematics offers a flexible program leading to the Master of Science degree. Concentrations are available in Applied Mathematics, Computer Science, Pure Mathe· matics, and Statistics. Classes are small and there is ample opportunity for close contact between students and faculty. Excel.lent library and computing facilities are easily accessible. Financial assistance is available. Further information and application forms may be obtained from: GRADUATE COMMITTEE DEPARTMENT OF MATHEMATICS WRIGHT STATE UNIVERSITY DAYTON, OH 45435 566 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED of financial astistance amount 9 or 12 if not lnduded hours type Academic year (with number anticipatecl1979-1980) in dollars months in sliJMftd ( dollan) per w .... of service 1977-1978 University of Tulsa, Tulsa 74104 DEPARTMENT OF MATHEMATICAL SCIENCE Applications dtie: 3/1/79* Bachelor's by dept, 15 William A, Coberly, Chairman Faculty 11; Published 10 Master's by dept. 3 Teaching Assistantship (6) 2750 9 Waived 6c Teaching Research Assistantship (2) 1750-2750 9 Waived 15 Research Scholarship (1) 2800 9 Waived *Late applications considered if funds are available. OREGON Oregon State U Diversity, Corvallis 97331 DEPARTMENT OF MATHEMATICS Applications due: None Bachelor's by inst. 2791 Richard M. Schori, Chairman Faculty 35; Published 23 Bachelor's by dept. 16 Master's by dept, 5 Teaching Assistantship (28) 3800-4400 9 65/term 12-15 Teaching Ph.D. (1975-1978 incl.) A&NT 4, G&T 3, A&FA 5, AM 3. Total: 15 DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by inst. 2791 Lyle D. Calvin, Chairman Faculty 17; Published 16 Master's by dept. 10 Teaching Assistantship (10) 3300-4000 9 68 12-15 Ph.D. (1975-1978 incl.) Research Assistantship (10) 3300-5000 9 68 12-15 S 6. Total: 6 Portland State University, Portland 97219 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 1435 E.A. Enneking, Head Faculty 34; Published 15 Bachelor's by dept. 22 Master's by dept. 18 Teaching Assistantship (10) 3240 9 66/term 15 University of Oregon, Eugene 97403 DEPARTMENT OF COMPUTER SCIENCE Bachelor's by inst. 2406 stephen Hedetniemi, Head Faculty 8 Bachelor's by dept. 40 Teaching Fellowship (9) 2835-3200 9 12-15 Teaching DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2406 Fred c. Andrews, Head Faculty 31; Published 24 Bachelor's by dept. 37 Master's by dept. 19 Teaching Fellowship (32) 3560-4750 9 69/term 4c Teaching Ph. D. (1975-1978 incl.) A&NT 4, G&T 4, A&FA 1, S 1. Total: 10 PENNSYLVANIA Bucknell University, Lewisburg 17837 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 679 Davids. Ray, Head Faculty 16; Published 13 Bachelor's by dept. 39 Master's by dept. 2 Fellowship (2) 900 9 Teaching Assistantship (5) 2500 9 12 Teaching· Scholarship (3) Carnegie-Mellon University, Pittsburgh 15213 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 574 George J, Fix, Head Faculty 24; Published 21 Bachelor's by dept. 35 Teaching Fellowship (7) 2700-4000 9 4-6 Teaching Ph.D. (1975-1978 incl.) Teaching Assistantship (10) 3000-4200 9 4-8 Teaching G&T 2, A&FA 8, AM 8, Research Assistantship (12) 7800-9000 9 4800 20 Research ME 1. Total: 19 Scholarship (3) 4800 9 4800 DEPARTMENT OF STATISTICS Applications due: 3/15/79 Bachelor's by inst. 574 John P, Lehoczky, Acting Head Faculty 10; Published 7 Master's by dept. 7 Teaching Assistantship (5) 3150* 9 10 Teaching . Ph. D. (1975-1978 incl.) Scholarship (5) Tuition 9 S 7. Total: 7 other (5) 1350* 9 *Plus tuition. Clarion State College, Clarion 16214 DEPARTMENT OF MATHEMATICS AppJications due: 7/1/79 Bachelor's by inst. 860 s. Gendler, Chairman Faculty 17; Published 3 Bachelor's by dept. 14 Teaching Assistantship (4) 1350-2700 9 10-20 Teaching 567 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 Drexel University, Philadelphia 19104 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/79 Bachelor's by inst. 1000 Loren N. Argabright, Head Faculty 29; Published 17 Bachelor's by dept. 25 Master's by dept. 4 Teaching Assistantship (20) 3300-4300 9 6c Teaching Research Assistantship (2) 3300-4300 9 20 Research Ph. D. (1975-1978 incl.) A&FA 3. Total: 3 Duquesne University, Pittsburgh 15219 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 799 Charles F. Sebesta, Chairman Faculty 9; Published 2 Bachelor's by dept. 4 c Master's by dept. 4 Teaching Assistantship (4) 2136 9 Waived 6-8 Edinboro State College, Edinboro 16444 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/30/79 Bachelor's by inst. 1000 Ronald G. Baker, Chairperson Faculty 25; Published 7 Bachelor's by dept. 15 Master's by dept. 3 Research Assistantship (1) 2400 12 20 Indiana University of Pennsylvania, Indiana 15701 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2153 M. Woodard, Chairman Faculty 36 Bachelor's by dept. 36 Master's by dept. 15 Teaching Assistantship (5) 1300-2705 9 20 Kutztown State College, Kutztown 19530 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 700 Edward W. Evans, Chairman Faculty 17; Published 5 Bachelor's by dept, 36 Master's by dept. 14 Teaching Assistantship (1) 2700 9 Remitted Max. * of 20 *Tutoring, paper grading, some teaching and problem sessions. Lehigh University, Bethlehem 18015 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79* Bachelor's by inst. 825 Gilbert Stengle, Chairman Faculty 22; Published 19 Bachelor's by dept. 11 Master's by dept. 8 Fellowship (1-2) 3000 9 Teaching Assistantship (26) 3500 9 4 Teaching Ph. D. (1975-1978 incl.) A&NT 5, A&FA 4, other 1. *Late applications accepted. Total: 10 Pennsylvania State University, University Park 16802 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst. 8250 Jonathan Goldstine, Acting Head Faculty 24 Bachelor's by dept. 118 Master's by dept. 23 Fellowship (2) 4032 9 6 Research Teaching Assistantship (30) 4032-5040 9 20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (6) 4032-5040 9 20 Teaching CS 6. Total: 6 Summer Support (15) 672-1680 3 10-20 Teaching DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 8250 Donald C. Rung, Head Faculty 46; Published 41 Bachelor's by dept. 38 Master's by dept. 14 Fellowship (3) 4572 9 Research Teaching Assistantship (25) 4284-4572 9 Teaching Ph.D. (1975-1978 incl.) A&NT 9, L 3, A&FA 2, AM 1, ME 1. Total: 16 DREXEL UNIVERSITY The Department of Mathematical Sciences offers graduate programs leading to the M.S. and Ph.D. degrees. The ~I.S. degree is available under two basic options, Applied Mathematics and Computational Mathematics. Both programs are "professionally oriented" in the sense that they are primarily intended to prepare students for employ· ment as practicing applied mathematicians and computer specialists in business, industry, or government. The Ph.D. program is primarily concentrated in the areas of analysis, applied mathematics, and computational mathematics. Financial aid is available through teaching and research assistantships which provide academic year stipends of from $3300 to $4300 plus a· waiver of tuition and fees. Applicants may request further information from: Graduate Recruiting Chairman Department of Mathematical Sciences Drexel University Philadelphia, Pennsylvania 19104 568 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financkll assistance amount 9 or 12 if not lnduded hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by inst, 8250 WUliam L. Harkness, Head Faculty 12; Published 12 Master's by dept, 6 Teaching Assistantship (5) 4200-4800 9 4-5c Ph.D. (1975-1978 incl.) S 12. Total: 12 Shippensburg State College, Shippensburg 17257 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: Qpen Bachelor's by inst. 889 James L. Sieber, Chairman Faculty 18; Published 2 Bachelor's by dept, 24 Master's by dept. 31 Teaching Assistantship (2) 2700 9 20 Support Temple University, Philadelphia 19122 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 3359 Albert Schild, Chairman Faculty 52; Published 33 Bachelor's by dept, 13 Master's by dept, 3 Fellowship (2) 4000 12 Teaching Assistantship (17) 3600-4800 9 6c Teaching Ph.D, (1975-1978 incl.) Research Assistantship (6) 3600-4800 9 A&NT 5, G&T 1, A&FA 6, Scholarship (2) P 2, S 3, Total: 17 University of Pennsylvania, Philadelphia 19104 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 1166 C. T. Yang, Chairman Faculty 29; Published 29 Bachelor's by dept, 20 Master's by dept, 5 Fellowship (2) 2500* 9 Teaching Fellowship (25) 3600* 9 Ph.D, (1975-1978 incl.) Karcher Fellowship (1) 4000** 9 A&NT 4, G&T 3, A&FA 2, other 1. Total: 10 *Possibility of summer teaching, **$1500 possible for summer. DEPARTMENT OF STATISTICS Applications due: 2/1/79 Bachelor's by inst, 1166 D. F. Morrison, Chairman Faculty 16 Master's by dept, 2 Teaching Fellowship (6-7) 3700-3900 9 10 Teaching Ph.D, (1975-1978 incl.) S 5, Total: 5 TEMPLE UNIVERSITY, PHILADELPIDA The Department of Mathematics, Temple University, invites applications for a number of fellowships and assistant ships available to support study toward the M.A. and Ph.D. in Mathematics. Graduate offerings include course work. seminars, and thesis guidance in a broad spectrum of mathematical areas, among them: Algebra, Group Theory, Num ber Theory, Geometry, Topology. Probability and Statistics, Analysis, and Functional Analysis, as well as a variety of options in Applied and Applicable Mathematics. The program is further enriched by a series of regular colloquia talks presented by visiting lecturers. GRADUATE FACULTY Dr. Orin Chein (Gro,up Theory), Dr. Francis Christoph (Topology), Dr. Fred Cohen (Topology), Dr. Bruce Conrad (Topology), Dr. Raymond Coughlin (Algebra), Dr. Martin Eisen (Probability, Applied Math.), Dr. Ivan Erdelyi (Functional Analyais), Dr. Janos Galambos (Probability), Dr. Robert Gordon (Algebra), Dr. Marvin Grossman (Functional Analyais), Dr. Emil Grosswald (Analytic Number Theory, Analysis), Dr. Peter Hagis, Jr. (Number Theory), Dr. David Hill (Differential Equations), Dr. Marvin Knopp (Analysil, Number Theory), Dr. Samuel Kotz (Math. Stat., Information Theory), Dr. V. S. Krishnan (Topology, Algebra),_ Dr. Diane Laison (Functional Analysis), Dr. Seymour Lipschutz (Group Theory), Dr. Nicholas Macri (Func tional Analysis), Dr. Jatinder Mehta (Stat.), Dr. Theodore Mitchell (Functional Analysis), Dr. William Nathan (Topology), Dr. Donald Newman (Analysis, Number Theory), Dr. Eli Passow (Analysis, Approx. Theory), Dr. John Paulos (Logic), Dr. Hala Pflugfelder (Algebra), Dr. Herbert Putz (Topology), Dr. K. Raghunan-. danan (Math. Stat., Stochastic Process.), Dr. Louis Raymon (Analysil, Approx. Theory), Dr. Daniel Reich (Analyais), Dr. Michael Rich (Algqbra), Dr. Albert Schild (Complex Analysis, Operations Research), Dr. John Schiller (Analysis), Dr. Thomas Slook (Functional Analysis), Dr. R. Srinivasan (Statistics), Dr. Leon Stein· berg (Analysil, Appl. Math.), Dr. Maria A. Wurster (Analysis), Dr. David Zitarelli (Algebra, Hilt. of Math.). For further information and applications for admission and financial support write to: Dr. Albert Schild, Chairman Department of Mathematics Temple University Philadelphia, Pa. 19122 569 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1 980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Pittsburgh, Pittsburgh 15260 DEPARTMENT OF BIOSTATISTICS Applications due: 6/30/79 Bachelor's by inst. 3603 Philip Enterline, Chairman Faculty 10 Master's by dept. 8 Fellowship (1) 7500 9 8 Ph.D. (1975-1978 incl.) Teaching Fellowship (1) 5000 9 8 other 1. Total: 1 Scholarship (8) 3900 12 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/79 Bachelor's by inst. 3603 Orrin E. Taulbee, Chairman Faculty 13; Published 13 Bachelor's by dept. 69 Master's by dept. 13 Teaching Fellowship (12) 4086-6129* 8-12 18-20 Teaching Teaching Assistantship (12) 3828-5742* 8-12 18-20 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (6) 4800-6000* 8-12 18-20 Research CS 6. Total: 6 Scholarship (2) Tuition Computer Center (3) 3828-6129* 8-12 18-20 User services Industry Cooperative (4) 5500-7500* 12 2190 20 Industry *Stipends may be increased. DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/15/79 Bachelor's by inst. 3603 Mario Denedicty, Acting Chairman Faculty 49; Published 42 Bachelor's by dept. 73 Master's by dept. 27 Fellowship (3) 4000 8 Teaching Fellowship (15) 4086-6129 8-12 Ph. D. (1975-1978 incl.) Teaching Assistantship (22) 3828-5742 8-12 L 1, A&FA 3, S 1, AM 2. Research Assistantship (6) 4440-6000 12 Total: 7 Villanova University, Villanova 19085 COMPUTER SCIENCE PROGRAM Applications due: 3/15/79 Bachelor's by inst, 1364 Robert E. Beck, Director Faculty 10; Published 6 Master's by dept. 12 Research Assistantship (2) 3000 9 18 Research DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 1364 Robert E. Beck, Chairman Faculty 19; Published 9 Bachelor's by dept. 23 Master's by dept. 22 Teaching Assistantship (9) 3000 9 3c Teaching PUERTO RICO University of Puerto Rico, Mayaguez 00708 DEPARTMENT OF MATHEMATICS Applications due: 7/1/79 Bachelor's by inst. 900 Darrell W. Hajek, Director Faculty 44; Publishej 13 Bachelor·s by dept. 33 Master's by dept. 5 Teaching Assistantship (5) 3000 12 25.50 8-lJ Research Assistant (13) 3000 12 25.50 8-10 RHODE ISLAND Brown U Diversity, Providence 02912 DIVISION OF APPLIED MATHEMATICS Applications due: 1/10/79 Bachelor's by inst. 1158 W. Freiberger, Chairman Faculty 25; Published 25 Bachelor's by dept. 40 Master's by dept. 6 Fellowship (6) 2600-3250 9 Teaching Assistantship (12) 3000-3250 9 10 Teaching Ph.D. (1975-1978 incl.) Research Assistantship (12) 3681-7113 9 606-3787. 50 10 Research A&FA3, P8, S4, OR7, Proctorship (4) 2600-3000 9 10 Teaching, CS 5, AM 4. Total: 31 research Title IX Fellowship (5) 3900 12 DEPARTMENT OF MATHEMATICS Applications due: 1/15/79 Bachelor• s by inst. 1158 Michael Rosen, Chairman Faculty 23; Published 21 Bachelor's by dept, 35 Master's by dept. 1 Fellowship (5) 2300-3000 9 Teaching Assistantship (17) 2850-3250 9 3-6 Ph.D. (1975-1978 incl.) Research Assistantship (4) 3000-3250 9 A&NT3, G&T6, A&FA4, P 2. Total: 15 Rhode Island College, Providence 02908 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1200 James T. Sedlock, Chairman Faculty 22; Published 5 Bachelor's by dept. 40 Master.1s by dept. 12 Teaching Assistantship (2) 2500-3500 9 20 U Diversity of Rhode Island, Kingston 02881 DEPARTMENT OF COMPUTER SCIENCES AND EXPERIMENTAL STATISTICS Applications due: 4/15/79 Bachelor's by inst. 1870 William J. Hemmerle, Chairman Faculty 9; Published 2 Bachelor's by dept. 4 Master's by dept. 3 Teaching Assistantship (10) 3400-3500 9 20 Teaching Research Assistantship (5) 4256-4940 9* 856-1440 20 Research *Additional full-time summer compensation. 570 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED of flnandal anistance amount 9 or 12 if not included houn type Aca.micyear (with number anticipated 1979-1980) in dollars months in stipend (doll an) per week of service 1977-1978 SOUTH CAROLINA Clemson University, Clemson 29631 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/79 Bachelor's by inst. 1704 John Fulton, Head Faculty 45; Published 27 Bachelor's by dept, 32 Master's by dept. 12 Teaching Assistantship (55) 4290-6500 12 3-6c Teaching Programming Assistantship (12) 4550-5200 12 14/hr,* 20 Program- Ph.D. (1975-1978 incl.) ming A&NT 3, G&T 1, S 1, OR 2, (6-9 hours). *$14 per hour CS 4. Total: 11 Medical University of South Carolina, Charleston 29403 DEPARTMENT OF BIOMETRY Applications due: 3/1/79 Bachelor's by inst. 198 M. Clinton Miller, III, Chairman Faculty 11; Published 11 Master's by dept, 6 Fellowship (3) 12000 12 Research Assistantship (1) 10000 12 University of South Carolina, Columbia 29208 DEPARTMENT OF MATHEMATICS, COMPUTER SCIENCE AND STATISTICS Applications due: 3/1/79 Bachelor's by inst. 2820 Robert M, Stephenson, Chairman Faculty 46; Published 35 Bachelor's by dept. 51 Master's by dept. 32 Teaching Assistantship (18) 3200-4800 9 75/sem. 15-20 Teaching staff Assistantship (6) 4800 12 75/sem. 20 Labs Ph.D. (1975-1978 incl.) A&NT 3, A&FA 1, P 1, s 3. Total: 8 Winthrop College, Rock Hill 29733 DEPARTMENT OF MATHEMATICS Applications due: 5/15/79 Bachelor's by inst, 466 Edward P. Guettler, Chairman Faculty 11; Published 2 Bachelor's by dept. 8 Master's by dept, 4 Nonteaching Assistantship (1) 2000 9 32/cr. 16 SOUTH DAKOTA South Dakota School of Mines & Technology, Rapid City 57701 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/1/79 Bachelor's by inst. 224 Dean C, Benson, Head Faculty 9; Published 5 Bachelor's by dept. 5 Master's by dept, 3 Teaching Assistantship (6) 2900 9 9,95/sem.hr. 4-5c University of South Dakota, Vermillion 57069 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 713 Wayne W. Gutzman, Chairman Faculty 14 Bachelor's by dept, 24 Teaching Assistantship (6) 2300-2400 9 9,17/cr,hr. 4 Teaching TENNESSEE East Tennessee State University, Johnson City 37601 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst, 1624 Lester C. Hartsell, Chairman Faculty 17; Published 2 Bachelor's by dept, 10 Teaching Assistantship (4) 2205-2340 9 16/qtr. hr. 6 Memphis State University, Memphis 38152 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/1/79 Bachelor's by inst. 2905 Stan Franklin, Chairman Faculty 30; Published 20 Bachelor's by dept. 23 Master's by dept, 21 Teaching Assistantship (35) 4000-5000 9 207/sem. Teaching Middle Tennessee State University, Murfreesboro 37132 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/79 Bachelor's by inst. 1116 Harold S. Spraker, Chairman Faculty 19; Published 4 Bachelor's by dept, 16 Master's by dept, 10 Teaching Assistantship (10) 2290-2480 9 6 Tennessee Technological University, Cookeville 38501 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: Open Bachelor's by inst, 900 Ralph C. Boles, Chairman Faculty 21; Published 8 Bachelor's by dept, 6 Master's by dept. 1 Teaching Assistantship (7) 2385-2610 9 6c Teaching 571 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipatecl1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Tennessee, Knoxville 37916 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/79 Bachelor's by inst. 3741 Robert Todd Gregory, Head Faculty 15; Published 14 Bachelor's by dept. 25 20 Teaching Assistantship (17) 3700-4000 9 Waived Teach two Master's by dept. courses DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 3741 Lida K. Barrett, Head Faculty 45; Published 42 Bachelor's by dept. 25 Master's by dept. 16 Fellowship (1) 3000 12 Teaching Assistantship (55) 3656-4302 9 Waived Teaching Ph. D. (1975-1978 incl.) Research Assistantship (4) 6750-7500 12 640-1888 Research A&NT 1, G&T 2, A&FA 2, P 2, ME 9. Otber 2, Total: 18 Vanderbilt University, Nashville 37235 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 1071 Richard R. Goldbere:. Chairman Faculty 27; Published 21 Bachelor's by dept. 57 Master's by dept. 9 Teaching Assistantship (22) 3900 9 Waived 6c Ph.D. (1975-1978 incl.) A&NT 6, G&T 2, A&FA 2, AM 1, Otber 1. Total: 12 TEXAS Baylor University, Waco 76703 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 1602 H. L. Rolf, Chairman Faculty 15; Published 4 Bachelor's by dept. 30 Master's by dept. 1 Teaching Assistantship (3) 2000-3000 9 3-6 c Teaching Research Assistantship (3) 1800-2500 9 12 East Texas State University, Commerce 75428 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 2368 Dale R. Bedgood, Head Faculty 13; Published 2 Bachelor's by dept. 34 Master's by dept. 11 Teaching Assistantship (10) 3483 9 150 6 sem.hrs. Lamar University, Beaumont 77710 DEPARTMENT OF MATHEMATICS Applications due: 5/1/79 Bachelor's by inst. 500 Richard A. Alo 1, Head Faculty 25; Published 11 Bachelor's by dept. 12 Master's by dept. 12 Teaching Assistantship (5) 4000 9 300* 20 *Tuition and fees. Midwestern University, Wichita Falls 76308 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/1/79 Bachelor's by inst. 476 Louie C. Huffman, Chair Faculty 9; Published 3 Bachelor's by dept. 3 Master's by dept. 5 Teaching Assistantship (6) 3200 9 101. 50 6c UNIVERSITY OF TENNESSEE, KNOXVILLE * * * GRADUATE STUDY IN APPLIED AND PURE MATHEMATICS The Department of Mathematics offers M.A., M.S., M.M., and Ph.D. degrees in a wide variety of areas. Broadly based programs are encouraged. Thesis and non-thesis options are available to M.A. and M.S. candidates. Research assistantship support up to $7,500 is available on departmental grants or with the Oak Ridge National Laboratory. Fellowship support up to $3,000 plus tuition remission and teaching assist antship support ranging from $3,654 to $5,460 plus tuition remission are available to qualified students. The Department is energetically engaged in research. It has 46 graduate faculty and 9 visiting faculty this year. Major fields of research include algebra and number theory, analysis (classical, functional, harmonic}, applied mathematics, mathematical ecology, matrix theory, numerical algebra, numerical analysis, numerical partial differential equations, integral and ordinary differential equations, partial differential equations, probability and statistics, geometric topology, transformation groups, and topological algebra. Faculty and students are currently engaged in joint work in computer science, ecology, economics, education, electrical engineering, engineering mechanics, nuclear engineering, and physics. The Department maintains close contact with the Oak Ridge National Laboratory and the Tennessee Valley Authority. For information write to: Dr. Lida K. Barrett, Head, Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37916 572 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistanCII amount 9 or 12 if not lnclu.a.d houn typa Acaclemicyear (with numloeranHclpatetl1979-1980) In dollars months In otlpand (dollars) par wMk olnNice 1977-1978 North Texas State University, Denton 76203 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 3123 John Ed Allen, Chairman Faculty 18; Published 12 Bachelor's by dept. 8 Master's by dept. 4 Teaching Fellowship (10) 4000-5000 9 6c Teaching Ph.D. (1975-1978 incl.) G&T 1, A&FA 3. Total: 4 Pan American University, Edinburg 78539 DEPARTMENT OF MATHEMATICS Applications due: 6/1/79 Bachelor's by inst. 974 John Spellmann, Head Faculty 18; Published 9 Bachelor's by dept. 7 Master's by dept. 2 Teaching Assistantship (4) 3690 9 113/sem. 6c Rice University, Houston 77001 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/79 Bachelor's by inst. 415 Richard Tapia, Chairman Faculty 10; Published 10 Bachelor's by dept. 35 Master's by dept. 5 Fellowship (3) 5500-6000 9 10 Scholarship (7) 2500 9 10 Ph.D. (1975-1978 incl.) S 3, OR 1, CS 3, AM 1, other 3. Total: 11 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 415 R.O. Wells, Jr., Chairman Faculty 16; Published 15 Bachelor's by dept. 29 Fellowship (15) 3550-4000* 9 6 Ph.D. (1975-1978 incl.) Research Assistantship (4) 4000-4400* 12 6 A&NT 1, G&T 3, A&FA 2. Scholarship (3) 9 Total: 6 *$2 500 tuition awarded in addition to stipend. ~outbern Methodist University, Dallas 75275 DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/79 Bachelor's by inst. 1289 David W. Matula, Head Faculty 7; Published 5 Bachelor's by dept. 10 Master's by dept. 20 Teaching Assistantship (7) 3150-3600 9 * 20 Research Assistantship (3) 3150-3600 9 20 Ph.D. (1975-1978 incl.) * CS 5. Total: 5 *Any in excess of 9 semester hours per semester. NORTH TEXAS STATE UNIVERSITY DEPARTMENT OF MATHEMATICS The Department of Mathematics, with a faculty of 18, offers graduate courses of instruction leading to the M.A., M.S., and Ph.D. degrees in mathe matics. The department has positions for 24-30 teaching fellows who teach two three-hour classes each semester. The library currently subscribes to 572 mathematical journals, has 388 complete runs, and 729 journal titles re presented. The research and teaching interests of the faculty are varied so Denton, Texas that the students studying for a graduate degree are able to take substantial 76203 courses in core areas of mathematics as well as gain significant exposure to applied areas. The faculty establishes a close working relationship with the students in order to enhance the learning and doing of mathematics, and to AC817-188-2155 lead the student to the frontier of i~rtant mathematical research. TEACHING FELLOWSHIP STIPEND $4000 for students without $4400 for students with a master's degree a master's degree The department will also award four special MERIT TEACHING FELLOWSHIPS which will pay $600 more than the regular teaching fellowship. Committee on Teaching Fellowships: John W. Neuberger, Paul W. Lewis, R. Daniel Mauldin, W. D. Appling, David F. Dawson Write to: John Ed Allen, Chairman of Mathematics Department 573 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1289 Richard K. Williams, Chairman Faculty 13; Published 6 Bachelor's by dept, 18 Master's by dept, 1 Teaching Fellowship (8) 4000-4300* 9 130/sem.hr, 6c Teaching *Plus tuition, DEPARTMENT OF OPERATIONS RESEARCH AND ENGINEERING AND MANAGEMENT Applications due: 3/1/79 Bachelor's by inst, 1289 U. N, Bhat, Chairman Faculty 6; Published 6 Bachelor's by dept, 12 Master's by dept, 13 Teaching Assistantship (3) 3150-4050 9 20 Teaching, research Ph.D, (1975-1978 incl.) Research Assistantship (4) 2700-6300 9 20 Research OR 1. other 1. Total: 2 DEPARTMENT OF STATISTICS Applications due: 4/1/79 Bachelor's by inst. 1289 D. B. Owen, Chairman Faculty 12; Published 12 Bachelor's by dept. 2 Fellowship (2) 4300-7834 9 Teaching Assistantship (20) 4300-7834 9 6 Research Assistantship (5) 6100-9634 12 10 Scholarship (4) 4300 9 Southwest Texas State University, San Marcos 78666 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2139 Robert Northcutt, Chairman Faculty 35; Published 9 Bachelor's by dept. 41 Master's by dept, 9 Teaching Assistantship (10-14) 4500-4650 9 142/sem. 9 Stephen F. Austin State University, Nacogdoches 75962 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 1222 W.I. Layton, Chairman Faculty 22; Published 11 Bachelor's by dept, 18 Master's by dept, 7 Teaching Fellowship (14) 1800-3600 9 ** 6 *As early as possible, **$145 per semester for 12 hours. Texas A & I University, Kingsville 78363 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 737 Virgil C. Kowalik, Chairman Faculty 16; Published 3 Bachelor's by dept, 11 Master's by dept, 5 Teaching Assistantship (8) 4020 9 20 c Teaching * or 6 *Resident: $127 for nine hours; nonresident: increment is waived for those teaching six hours or more (1978), Texas A & M University, College Station 77843 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79* Bachelor's by inst. 4223 C,J, Maxson, Acting Head Faculty 63; Published 53 Bachelor's by dept, 32 Master's by dept, 8 Teaching Assistantship (75) 4050-4869 9** 60 6-Bc Recitation selections Ph.D, (1975-1978 incl.) *Late applications will be considered. andre A&NT 1, G&T 1, A&FA 1, **May be extended for summer. lated other 1. Total: 4 duties INSTITUTE OF STATISTICS APplications due: Open Bachelor's by inst. 4223 W. B. Smith, Director Faculty 16; Published 16 Bachelor's by dept, 12 Master's by dept. 10 Fellowship (1) 4050-4500 9* 200 Teaching Assistantship (23) 4050-4500 9* 200 20 Teaching Ph.D, (1975-1978 incl.) Research Assistantship (6) 4050-4500 9* 200 20 Research S 19. Total: 19 Nonteaching Graduate Assistantship (GANT) (7) 4050-4500 9* 200 20 Teaching related *Continuation through summer usually available, Texas Tech University, Lubbock 79409 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by dept, 12 Paul Nelson, Acting Chairman Faculty 53; Published 33 Master's by dept, 11 Teaching Assistantship (40) 3800-4400 9 ** 6c Teaching Ph.D, (1975-1978 incl.) Part-time Instructor with A&NT 1, A&FA 1, S 4, Master's Degree (15) 4000-4600 9 ** 6c Teaching AM 2, Total: 8 *No formal deadline, Desirable filing date for fall is 4/1/79, **$4 per semester hour or minimum of $50, University of Houston, Houston 77004 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79* Bachelor's by inst. 3325 G. J. Etgen, Chairman Faculty 42; Published 32 Bachelor's by dept, 58 Master's by dept, 11 Teaching Fellowship (35) 4200-4500 9 50/sem. 6c Teaching and fees Ph.D, (1975-1978 incl.) *Late applications considered if funds available, A&NT 2, G&T 4, A&FA 7, other 6, Total: 19 574 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1979-1980) In dollars months in stipend ( doHars} per wHk of service 1977-1978 University of Texas at Arlington 76019 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2109 V. Lakshmikantham, Chairman Faculty 41 Bachelor's by dept, 44 Master's by dept, 9 Teaching Assistantship (30) 3276-3924 9 145-173/sem. 6 Teaching Ph. D. (1975-1978 incl.) A&FA2, S 1. Total: 3 University of Texas at Austin 78712 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst, 9375 James W. Daniel, Chairman Faculty 64; Published 55 Bachelor's by dept. 76 Master's by dept. 14 Teaching Fellowship (2-3) 5000 Teaching Assistantship (90) 3500-4250 9 200 6 c Recitation Ph, D. (1975-1978 incl.) sections A&NT4, G&T 2, A&FA2, and S 1, OR 2, AM 4. Total: 15 related duties University of Texas at Dallas, Richardson 75080 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: Open Bachelor• s by in st. 1953 George Kimeldorf, Head Faculty 15; Published 15 Bachelor's by dept. 24 Master's by dept, 26 Teaching Assistantship (25) 3618-4131 9* 50/sem. ** 20 Teaching Research Assistantship (5) 3267-3735 9* 50/sem, ** 20 Research *12 possible. **Plus approximately $150 for fees. University of Texas at El Paso 79968 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 1444 John A. Narvarte, Chairman Faculty 27; Published 10 Bachelor's by dept. 18 4 Teaching Assistantship (6) 3900 9 15 Non-teach- Master's by dept. ing f------uNivERslrvC)FIHC)usroN------~ ~ (Central Campus) l ( DEPARTMENT OF MATHEMATICS ~ l is seeking applicants for new faculty positions available at the beginning of the academic year 1979-1980: ~ l l l 1. A senior position (Professor) in Applied Mathematics. l ~ 2. A junior position (Assistant Professor, tenure-track) in all arees of Mathematics. l ~ Strong recommendations will be required. Salaries open to negotiation. Please send applications with vitae, ~ l resumes, references, and lists of publications to: l l PROFESSOR A. LELEK- CHAIRMAN, RECRUITING COMMITTEE ~ l DEPARTMENT OF MATHEMATICS l ~ . UNIVERSITY OF HOUSTON, HOUSTON, TX 77004 ~ L~~~~~~ofH~~2~~a~~~~!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~J THE UNIVERSITY OF TEXAS AT EL PASO GRADUATE STUDY IN MATHEMATICS Master's Degree with emphasis on Mathematics or Statistics • Small classes and individual attention • Open stack science library and access to Computer Center • Teaching Assistantships require no classroom teaching and start at $3900 A component of the Universitv. of Texas S!,1stem, UT El Paso is located in a major metropolitan cen ter on the Mexican border. Within easy driving dtstance are mountainous wilderness areas, ski resorts and national forests. FOR INFORMATION WRITE: Department of Mathematics The University of Texas at El Paso This University is an Equal Opportunity Institution. El Paso, Texas 79968 575 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Texas at San Antonio 78285 DIVISION OF MATHEMATICS, COMPUTER SCIENCE AND SYSTEM DESIGN Applications due: 3/1/79 Bachelor's by inst. 636 stan Wayment, Director Faculty 21; Published 21 Bachelor's by dept, 19 Master's by dept. 14 Teaching Assistantship (6-8) 4000 9 50 6c UTAH Brigham Young University, Provo 84602 DEPARTMENT OF STATISTICS Applications due: 3/15/79 Bachelor's by inst, 3984 H. Gill Hilton, Chairman Faculty 12; Published 8 Bachelor's by dept, 7 Master's by dept, 4 Fellowship (1) 6800 10 600/yr. 20 Research Teaching Assistantship (7) 5100 12 1800/yr. 20 Teaching Research Assistantship (2) 7000 12 600/yr. 20 Research University of Utah, Salt Lake City 84l12 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 2616 Hugo Rossi, Chairman Faculty 51; Published 45 Bachelor's by dept. 45 Master's by dept, 8 Teaching Fellowship (23) 4750-5200 9 4-8c Teaching Assistantship (10) 4750-5050 9 4-8c Ph.D, (1975-1978 incl.) G&T 3, A&FA 7, P 1, AM 6, Total: 17 Utah State University, Logan 84322 DEPARTMENT OF APPIJED STATISTICS AND COMPUTER SCIENCE Applications due: 4/1/79 Bachelor's by inst, 1354 R, L, Hurst, Chairman Faculty 7; Published 3 Bachelor's by dept, 14 Master's by dept. 3 Teaching Assistantship (4) 1800-3600 9 201 10-20 Teaching DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst, 1354 Lawrence 0, Cannon, Head Faculty 19; Published 14 Bachelor's by dept, 5 Master's by dept, 4 Teaching Assistantship (15) 3000-5100 9 201 10-20 Teaching VERMONT University of Vermont, Burlington 05405 DEPARTMENT OF MATHEMATICS Applications due: 3/15/79 Bachelor's by inst. 1586 Donald E. Moser, Chairman Faculty 23; Published 8 Bachelor's by dept, 45 Master's by dept, 4 Teaching Assistantship (11) 3400 9 6c Teaching Ph.D. (1975-1978 incl.) A&FA 1, AM 1. Total: 2 DEPARTMENT OF STATISTICS AND BIOSTATISTICS PROGRAMS Applications due: 3/1/79 Bachelor's by inst. 1586 David Sylwester, Director Faculty 6; Published 6 Bachelor's by dept. 3 Master's by dept. 5 Teaching Fellowship (2) 3400 9 20 Teaching Research Assistantship (3) 4450 9 1150 20 Research Traineeship (1) 3900 12 Research Research Fellowship (1) 3600 11 20 Research Wages (1) 4,50/hr. VIRGINIA College of William and Mary, Williamsburg 23185 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/9/79 Bachelor's by inst. 1009 William G. Poole, Jr., Chairman Faculty 22; Published 14 Bachelor's by dept, 44 Master's by dept. 15 Teaching Assistantship (2) 3750 9 10-20 Grading Research Assistantship (4) 3750 9-11 10-20 Research George Mason University, Fairfax 22030 DEPARTMENT OF MATHEMATICS Applications due: 7/1/79 Bachelor's by inst. 1049 John A. Oppelt, Chairman Faculty 21 Bachelor's by dept, 13 Master's by dept, 15 Fellowship (1) 2000 9 768/yr.* Teaching Assistantship (1) 3300 9 768/yr.* 6c *Full-time in-state tuition based on $32/credit hour; out-of-state tuition: $62/credit hour. 576 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftnandaiOIIistance amount 9 or 12 if not included houn type Academic year (with numberan~clpatod 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 James Madison University, Harrisonburg 22801 DEPARTMENT OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 1560 Diane M. Spresser, Acting Head Faculty 19; Published 8 Bachelor's by dept. 33 Teaching Assistantship (7) 3200 9 6 Teaching Master's by dept. 6 U nhersity of Virginia, Charlottesville 22903 DEPARTMENT OF MATHEMATICS Applications due: 2/1/79 Bachelor's by inst. 2361 R.E. stcng, Chairman Faculty 27; Published 23 Bachelor's by dept. 30 Fellowship (5) 6000 9 * Master's by dept. 4 Teaching Fellowship (5) 4000-6000 9 * Ph.D. (1975-1978 incl.) Teaching Assistantship (25) 4576-5561 9 * A&NT 4, G&T 5, A&FA 2. Total: 11 *In-state: $864; out-of-state: $1939. Virginia Polytechnic Institute and State U ninrsity, Blacksburg 24061 DEPARTMENT OF MATHEMATICS Applications du.e* Bachelor's by inst, 3250 C. Wayne Patty, Head Faculty 76; Published 42 Bachelor's by dept. 20 Master's by dept. 10 Teaching Assistantship (20) 4140-4545 9 747 20 *No specific deadline; as early as possible. Ph.D. (1975-1978 incl.) A&NT 1, G&T 2, L 1, AM 2, other 1. Total: 7 DEPARTMENT OF STATISTICS Applications due: 1/31/79 Bachelor's by inst. 3248 Jesse C. Arnold, Head Faculty 17; Published 17 Bachelor's by dept. 17 Master's by dept; 11 Teaching Assistantship (26) 4140-4545 9 284/qtr. 20 Teaching, consulting Ph.D. (1975-1978 incl.) Research Assistantship (11) 5520-6060 12 284/qtr. 20 Research, S 16. Total: 16 consulting Virginia Commonwealth University, Medical College of Virginia, Richmond 23298 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: Open Bachelor's by inst. 1854 William E. Haver, Chairman Faculty 26; Published 15 Bachelor's by dept. 18 Fellowship, Supplementary (4-7) 250-350 9 Master's by dept. 7 Teaching Assistantship (12) 4000-4500 9 770 6c Virginia State College, Petersburg 23803 DEPARTMENT OF MATHEMATICS Applications due: 6/1/79 Bachelor's by inst. 567 Loretta M. Braxton, Chairperson Faculty 19; Published 3 Bachelor's by dept. 8 General Assistantship (4) 2400-3600 9 15 Master's by dept. 3 WASHINGTON Central Washington State U Diversity, Ellensburg 98926 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1585 Robert Y. Dean, Chairman Faculty 9; Published 4 Bachelor's by dept. 5 Teaching Assistantship (3) 3222 9 * 50 Master's by dept. 1 *Resident: $18 9; nonresident: $4 7 3. MASTERS IN THE MATHEMAUCAL SCIENCES MATHEMATICS, COMPUTER SCIENCE, STATISTICS APPLIED MATHEMATICS, MATHEMATICS EDUCATION The Department of Mathematical Sciences at Virginia Commonwealth University offers a flexible program tailored to the needs of individual students. Students may work toward the M.S. degree in mathematical sciences with concentration in computer science, statistics, mathematics, applied mathematics or in combinations of these areas, or toward the M.Ed. degree in mathematics education. For further information write: Dr. James Deveney Department of Mathematical Sciences Virginia Commonwealth University Richmond, Virginia 23284 577 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal assistance amount 9 or 12 if not Included houn type Academic year (with number anticlpalod 1979-1980) in dollars months in stipend (dollars) per wHic ofMrvlce 1977-1978 Eastern Washington State College, Cheney 99004 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/79 Bachelor's by inst. 1170 Ronald H. Dalla, Chairman Faculty 18; Published 6 Bachelor's by dept. 30 Master's by dept, Teaching Assistantship (2-3) 3450* 9 684/yr. 15 3 *1978-79 figures. University of Washington, Seattle 98195 BIOMATHEMATICS GROUP Applications due: 7/1/79 Bachelor's by inst. 5319 Richard A, Kronmal, Chairman Faculty 32; Published 28 Master's by dept, 10 Fellowship (25) 3900* 12 ** 12 cr./ Ph. D. 11975-1978 incl.) qtr.min, Other 12. Total: 12 Teaching Assistantship (14) 4995-5616 9 ** 20 Teaching Research Assistantship (18) 6024-6804 12 ** 20 Research Scholarship (4) 4048 12 u.s. Forest Service Supp. Professional Training 4048 12 *Plus tuition. In addition, allowed to earn a maximum income of $1500 per year from other sources. **Tuition for more than six credits: $247 for residents, $912 for nonresidents. Graduated tuition for residents and nonresidents for six credits and below. DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/79 Bachelor's by inst. 5319 Robert W, Ritchie, Chairman Faculty 13; Published 9 Bachelor's by dept. 13 Master's by dept. 16 Teaching Assistantship (4) 4995 9 229/qtr. * 6c Teaching Research Assistantship {10) 4518 9 229/qtr. * 20 Research Ph, D. (1975-1978 incl.) CS 5. Total: 5 *Subject to change. DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 5319 Robert Phelps, Chairman Faculty 62; Published 41 Bachelor's by dept. 86 Master's by dept. 18 Teaching Fellowship (1) 6105 12 991 10 Teaching Teaching Assistantship (60) 4995-5616 9 771 20* Teaching Ph.D. (1975-1978 incl.) Research Assistantship (2) 4518-5103 9 771 Research A&NT 2, G&T 3, A&FA 4, P 1, S 3. Total: 13 *4 to 6 hours in class plus office hours and preparation time. Washington State UniYersity, Pullman 99164 DEPARTMENT OF PURE AND APPLIED MATHEMATICS ,Applications due: 2/79 Bachelor!s by inst. 2874 James A. Cochran, Chairman Faculty 27; Published 23 Bachelor's by dept, 22 Master's by dept. 8 Teaching Assistantship (30) 5000-5308 9 770 20 Teaching Research Assistantship (2) 5767 12 770 20 Research Ph, D. (1975-1978 incl.) A&NT 1, S 1, AM 3, Total: 5 Western Washington State University, Bellingham 98225 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/79 Bachelor's by inst. 1515 Robin W. Chaney, Chairman Faculty 24; Published 8 Bachelor's by dept. 45 Master's by dept, 6 Teaching Assistantship (5) 3558 9 10-15 Teaching WEST VIRGINIA Marshall University, Huntington 25701 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 986 steven Hatfield, Acting Chairman Faculty 15; Published 9 Bachelor's by dept, 4 Master's by dept. 5 Teaching Assistantship (5-10) 900-2500 9 6 West Virginia UniYersity, Morgantown 26506 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 651 I.D. Peters, Chairman Faculty 35; Puhlished 15 Bachelor's by dept. 10 Master's by dept. 5 Teaching Assistantship (18) 2800-3000* 9 Remitted 6 Teaching, assisting *Subject to change, 578 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included houn type Aca.micpar {with number anticipa'" 1979-1980) in dollan months in stipend ( cloltan) per week of service 1977-1978 WISCONSIN Marquette Uni¥ersity, Milwaukee 53233 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/79 Bachelor's by inst. 1380 W.E. Lawrence, Chairman Faculty 21; Published 11 Bachelor's by dept. 26 Master's by dept. 7 Teaching Assistantship (10) 3400-3800 9 8° Teaching Research Assistantship (2) 3400 9 20 Research Scholarship* 2400 9 Tuition Scholarship** 100-600 *Limited number available. **24 hours available; usually given as 1-3 hours per student each semester and in summer session. Unbersity of Wisconsin, Madison 53706 DEPARTMENT OF COMPUTER SCIENCES Applications due: 1/15/79 Bachelor's by inst. 4954 L. H, Landweber, Chairman Faculty 28; Published 28 Bachelor's by dept, 28 Master's by dept. 38 Fellowship (5) 5868 9-12 1145 9 1145 20 Teaching Ph.D. (1975-1978 incl.) Teaching Assistantship } <(4°)) 5850"6225 20 4387-4668 9 1145 15 Teaching cs 23, Total: 23 Research Assistantship (20) 4608 12 1145 20 Research DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 4954 Joshua Chover, Chairman Faculty 71; Published 67 Bachelor's by dept.. 45 Master's by dept, 27 Fellowship (10) 4680** 9 1145 Teaching Assistantship (150) 4680-7186 ** 9 1145 16-24 Teaching Ph.D, (1975-1978 incl.) · Research Assistantship (3) 4608-5628** 9-12 1145 20 Research A&NT 8, G&T 13, L 7, A&FA 13, P 6, AM 3, *Assistantship: 12/30/78; Fellowship: 2/15/79, ME 2. Total: 52 **All rates are 1978-79 values. All are expected to rise for 1979-80. DEPARTMENT OF STATISTICS Applications due: 1/15/79 Bachelor's by inst. 4954 G. K. Bhattacharyya, Chairman Faculty 25; Published 20 Bachelor's by dept, 3 Master's by dept, 21 Fellowship (2-3) 4860 9 1185 Teaching Assistantship (28) 5850- Ph, D. (1975-1978 incl.) 6159,96 9 1185 20 Teaching S 23. Total: 23 Research Assistantship (22) 4604,73 9 1185 20 Research Unbersity of Wisconsin-Milwaukee 53201 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 2087 Robert L. Hall, Chairman Faculty 38; Published 25 Bachelor's by dept, 12 Master's by dept. 13 Fellowship (2) 5103-6237 9-12 Teaching Assistantship (35) 6237-6482 9 * Ph.D, (1975-1978 incl.) Advanced Opportunity * A&NT 4, A&FA 4, other 1. Fellowship {2) 4860-5103 9-12 * Total: 9 *Resident: $585. 40; nonresident: $1805, Out-of-state tuition waiver for out-of-state teaching assistants, research assistants, and fellows. U nbersity of Wisconsin-Ri¥er Falls 54022 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst, 340 Lillian Gough, Chairman Faculty 14; Published 3 Bachelor's by dept. 26 Master's by dept. 3 Teaching Assistantship (4) 2800-3200 9 960/yr. 8 Tutoring WYOMING Uni¥ersity of Wyoming, Laramie 82071 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/79 Bachelor's by inst, 1165 Henry R, Bauer, ill, Acting Head Faculty 6; Published 5 Bachelor's by dept. 9 Teaching Assistantship (3) 3852 9 18 DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 1165 A, Duane Porter, Acting Head Faculty 24; Published 16 Bachelor's by dept. 4 Master's by dept. 1 Teaching Assistantship (19) 3852-5136 9 18 Ph.D, (1975-1978 incl.) A&NT 1, G&T 1, other 1, Total: 3 DEPARTMENT OF STATISTICS Applications due: 2/15/79 Bachelor's by inst. 1165 D. A. Anderson, Acting Head Faculty 8; Published 7 Bachelor's by dept, 2 Master's by dept. 4 Teaching Assistantship (7) 1926-3852 9 9-18 Research Assistantship (4) 1926-3852 9 9-18 Ph.D. (1975-1978 incl.) S 2. Total: 2 579 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979-1980) in dollars months in stipend (dollars) per week of service 1977-1978 CANADA Acadia University, Wolfville, Nova Scotia BOP lXO DEPARTMENT OF MATHEMATICS Applications due: 2/15/79 Bachelor's by inst. 850 F; Chipman, Head Faculty 11; Published 7 Bachelor's by dept. 35 Master's by dept. 1 Fellowship (2) 3300 9 1060 Dalhousie University, Halifax, Nova Scotia B3H 4H8 DEPARTMENT OF MATHEMATICS Applications due: 4/30/79 Bachelor's by inst. 820 P. N. Stewart, Chairman Faculty 30; Published 30 Bachelor's by dept, 63 Master's by dept, 2 Teaching Assistantship (18) 3500-6000 12 8 50 3 Teaching Scholarship (4) 4000-7000 12 850 Ph.D. (1975-1978 incl.) A&NT 2, G&T 1, A&FA 1, S 1, OR 2, Total: 7 McGill University, Montreal, Quebec H3A 2K6 DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2354 E. Rosenthal!, Chairman Faculty 46; Published 29 Bachelor's by dept, 73 Master's by dept. 8 Fellowship (15) 1000-5600 12 800 3-6 Teaching Assistantship (15) 2500-5500 12 800 3-6 Teaching Ph.D, (1975-1978 incl.) Research Assistantship (25) 1000-5000 12 800 3-6 Research A&NT 7, G&T 1, A&FA 2, Demonstratorship (60) 500-2600 7 800 3-6 S 3, AM 2. Total: 15 Memorial University of Newfoundland, St. John's, Newfoundland AlB 3X7 DEPARTMENT OF MATHEMATICS AND STATISTICS Bachelor's by inst. 1827 J. H. Burry, Head Faculty 45; Published 39 Bachelor's by dept, 103 Master's by dept. 4 Fellowship (4) 4000 12 600 Teaching Fellowship (1) 4000-6700 12 750 12 Teaching Assistantship (1) 4000-6400 12 600 12 ~IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII~ CARLETON UNIVERSITY ~ 9 )c( 9 OTTAWA, CANADA ~ )c( )c( The Department of Mathematics offers programmes leading to M. Sc. and ~ )c(~ )c( Ph.D. degrees in Mathematics, Statistics or Probability Theory both on a part- ~ )c(~ )c( ~ time and full-time basis. A number of Scholarships and Teaching/Research ~ )c( )c( ~ Assistantships ranging in value from $3500 to $7500 are available for qualified ~ )c( )c( ~ applicants. The Department also offers a cooperative Master's Program in S 9 Statistics in collaboration with Agencies of the Federal Government of Canada. $ Carleton's presence in Canada's capital has permitted the department to main- ~ )c(~ )c( tain a close relationship with researchers in such Federal Government Agencies ~ )c(~ )c( $ as Statistics Canada, National Research Council, Environment Canada and S ~ Agriculture Canada. Areas of concentration of the Graduate Program include ~ )c( )c( ~ Algebra and Number Theory, Analysis, Geometry and Topology, Applied ~ .__,~ iViathematics, informaiion Science, Pure and Applied Probability and Statistics. ·~ · ~ ~ ~ For additional information and application forms, write to: ~ )c( )c( ~ Graduate Supervisor - Department of Mathematics ~ ~ ~ Carleton University ~ ~ Ottawa, Ontario, Canada K1S 586 ~ )c( )c( tliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii~ 580 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1979--1980) in dollars months in stipend (dollars) per week of service 1977-1978 University of Alberta, Edmonton, Alberta T6G 2Vl DEPARTMENT OF COMPUTING SCIENCE Applications due: B/15/79 Bachelor's by inst. 3532 J. Tartar, Chairman Faculty 16 Bachelor's by dept, 46 Master's by dept. 4 Teaching Assistantship (20) 4388-6211 8 12 Teaching Research Assistantship (15) 1740 4 12 Research Ph.D. (1975-1978 incl.) CS 6, Total: 6 University of British Columbia, Vancouver, British Columbia V6T IWS DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/31/79 Bachelor's by inst. 3265 Faculty 15 P, C. Gilmore, Head Ph.D. (1975-1978 incl.) Teaching Assistantship (15) 4800-5000 9 12 CS 4, Total: 4 Research Assistantship (5) 4800 9 12 DEPARTMENT OF MATHEMATICS Applications due: 5/31/79 Bachelor's by inst, 3265 Ben Moyls, Head Faculty 70; Published 58 Bachelor's by dept. 23 Master's by dept. 7 Teaching Assistantship (35) 4540-4770 9 812 12 Teaching, marking Ph. D. (1975-1978 incl.) A&NT 1, G&T 2, A&FA 3, S 1, OR 1, CS 1, AM 3. Total: 12 University of Calgary, Calgary, Alberta T2N 1T2 DEPARTMENT OF COMPUTER SCIENCE Applications due: 7/31/79 Bachelor's by inst. 2492 A. W. Colijn, Head Faculty 15; Published 13 Bachelor's by dept. 18 Master's by dept, 2 Teaching Assistantship (10) 4860-6150 8 Waived Teaching Research Assistantship (8) 1900 4 Waived Research DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 2492 P. Lancaster, Acting Head Faculty 48; Published 42 Bachelor's by dept, 21 Master's by dept, 5 Teaching Assistantship (18) 4500-5700 8 12 Prepara- tion, Ph. D. (1975-1978 incl.) contact, A&NT 5, L 1, A&FA 1, Research Assistantship (7) 3550 8 marking S 1, AM 1. Total: 9 Scholarship (6) 3200-7000 12 University of Manitoba, Winnipeg, Manitoba R3T 2N2 DEPARTMENT OF STATISTICS Applications due: 3/31/79 Bachelor's by inst. 3235 B.K. Kale, Head Faculty 10; Published 9 Bachelor's by dept. 8 Master's by dept. 9 Teaching Assistantship (4) 1600-3600 9 700 6-8 Teaching University of Ottawa, Ottawa, Ontario KIN 6N5 DEPARTMENT OF MATHEMATICS Applications due: 4/10/79 Bachelor's by inst. 3101 W.D. Burgess, Chairman Faculty 30; Published 20 Bachelor's by dept, 20 Master's by dept, 6 Teaching Assistantship (8) 5000-6000 12 824 3c Tutoring Scholarship (3) 2000 12 824 Ph.D. (1975-1978 incl.) A&F A 1. Total: 1 University of Regina, Regina, Saskatchewan S4S OA2 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 4/1/79 Bachelor's by inst. 822 E. L. Koh, Head Faculty 21; Published 15 Bachelor's by dept. 13 Teaching Assistantship (2) 3700* 8 584 10 Teaching Ph. D. (1975-1978 incl.) or A&NT 1, G&T 1. Total: 2 *Plus up to $1650 if research is continued to summer months, equivalent University of Saskatchewan, Saskatoon, Saskatchewan S7N OWO DEPARTMENT OF MATHEMATICS Applications due: 3/1/79 Bachelor's by inst. 2100 G.H.M. Thomas, Acting Head Faculty 27; Published 15 Bachelor's by dept. 100 Master's by dept. 2 Teaching Fellowship (10) 3900 8* 690 5 Teaching or equiv Ph.D. (1975-1978 incl.) alent G&T 1, A&FA 1, AM 1. Scholarship (3) 8 Total: 3 *Plus up to $1650 if research is continued during summer. University of Toronto, Toronto, Ontario MSS lAl DEPARTMENT OF STATISTICS Applications due: 4/30/79 Ph.D. (1975-1978 incl.) D. A, S. Fraser, Chairman Faculty 15; Published 11 ~s 8. Total: 9 Teaching Assistantship (30) 3300-3700 9 * 10 Research Assistantship (4) 3300-3700 9 * 10 Scholarship (3) 5000 12 * *Citizen: $840; Visa: $2040. 581 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not indudecl hours type AcocMmic year (with numberanticipated1979--1980) in dollars months in stipend ( d.. lan) per wHk of service 19n-1978 University of Victoria, Victoria, British Columbia V8W :ZY3 DEPARTMENT OF MATHEMATICS Applications due: 2/16/79 Bachelor's by inst. 859 Roger R. Davidson, Chairman Faculty 34; Published 26 Bachelor's by dept. 36 Fellowship (2) 4000 9* 564 Master's by dept. 1 Teaching Assistantship (2) 960-1440 9 564 8-12 Tutorials, marking, esc labs. Research Assistantship (2) 3000 12 564 Research *Extendable to 12 months with an additional $1500. University of Waterloo, Waterloo, Ontario N:ZL 3Gl FACULTY OF MATHEMATICS Applications due: 4/15/79 Bachelor's by inst. 2787 W. F. Forbes, Dean Faculty 129; Published 104 Bachelor's by dept. 203 Master's by dept. 80 Teaching Assistantship (180) 1840-4800 12 * 5-10 Teaching Research Assistantship (150) 1000-5760 12 * Research Ph.D. (1975-1978 incl.) Scholarship U. W. (12) 500-2000 12 A&NT 6, A&FA 6, S 4, Ontario Graduate * OR 4, CS 23, AM 8, Other 5. Scnolarship (5) 1600-4800 12 Total: 56 National Research * Scholarship (16) 6400-7500 12 * *By visa status -Canadian: $650; Foreign: $2000. University of Western Ontario, London, Ontario N6A 5B9 DEPARTMENT OF MATHEMATICS Applications due: 8/15/79 · Bachelor's by inst. 4632 D. Borwein, Head Faculty 33; Published 28 Bachelor's by dept. 58 5 Teaching/Research Master's by dept. Assistantship (14) 5500-6500 12 750* 0-6 ** Ph.D. (1975-1978 incl.) S 2, other 1. Total: 3 *$1950 for visa students who may compete for a bursary to defray the additional fees. **Tutoring, proctoring, marking, research. York University, Downsview, Ontario M3J 1P3 DEPARTMENT OF MATHEMATICS Applications due: 4/1/79 Bachelor's by inst. 3300 Martin E. Muldoon, Chairman Faculty 29; Published 21 Bachelor's by dept. 47 Master's by dept. 10 Teaching Assistantship (20) 3000 9 10 Problem * sessions, grading Scholarship (3) 2500 9 *Canadian citizen or immigrant: $765; Foreign: $1950, CBMS REGIONAL CONFERENCE SERIES IN MATHEMATICS ences, the following lectures are included in these LECTURES ON notes: Symplectic manifolds and lagrangian sub SYMPLECTIC MANIFOLDS manifolds, examples; Lagrangian splittings, real and complex polarization, Kiihler manifolds; Re duction, the calculus gf canonical relations, inter by Alan Weinstein mediate polarizations; Hamiltonian systems and group actions on symplectic manifolds; Normal The first six sections of these notes contain forms; Lagrangian submanifolds and families of a description of some of the basic constructions functions; Intersection Theory of lagrangian sub and results on symplectic manifolds and lagrang manifolds; Quantization on cotangent bundles; ian submanifolds. §7, on intersections of lagrang Quantization and polarizations; Quantizing la ian submanifolds, is still mostly internal to grangian submanifolds and subspaces, construc symplectic geometry, but it contains some ap tion oi the Masiov bundie. plications to mechanics and dynamical systems. §§8, 9, and 10 are devoted to various aspects of 50 pages the quantization problem. In §10 there is a feed List price $7.60; individual price $5.70 back of ideas from quantization theory into sym ISBN 0-8218-1679-9; LC 77-3399 plectic geometry itself. Publication date: 5/31 77 In addition to an introduction and refer- To order, please specify CBMS/29 Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, RI 02901 582 CRITICAL, HISTORICAL, or EXPOSITORY THESES The questionnaire used to compile the information published on the previous pages was augmented in 1978 by the inclusion of the following question: Will your department accept a critical, historical and/or expository thesis of sufficiently high quality for the Ph. D. degree? D. A, degree? or other degree? Affirmative responses to this question are listed below. ARIZONA MARYLAND Univ Arizona, Tucson Johns Hopkins Univ, Baltimore Mathematics Ph, D. Biostatistics Ph.D. Univ Maryland, College Park CALIFORNIA Measurement and Statistics Ph.D, California Inst of Technology, Pasadena MASSACHUSETTS Mathematics Ph.D, Univ California, Davis Harvard Univ, Boston Mathematics Ph, D. Biostatistics Sc.D. Univ California, Los Angeles System Science Ph.D, MICHIGAN Michigan State Univ, East Lansing COLORADO Mathematics Ph.D. Univ Northern Colorado, Greeley Univ Michigan, Ann Arbor Mathematics D. A. , Ed. D. Mathematics Ph.D, CONNECTICUT MISSOURI Yale Univ, New Haven Saint Louis Univ, St. Louis Computer Science Ph.D. Mathematics other Statistics Ph.D. Washington Univ, St. Louis Computer Science Other DISTRICT OF COLUMBIA American Univ, WashingtOn MONTANA Mathematics, Statistics Univ Montana, Missoula and Computer Science Ph.D, Mathematics Ph.D. FLORIDA NEW HAMPSHIRE Univ Florida, Gainesville Dartmouth Coll, Hanover Statistics Ph.D, Mathematics Ph.D. Univ Miami, Coral Gables Mathematics D. A. NEW JERSEY IDAHO Rutgers Univ, New Brunswick Statistics Ph.D. Idaho State Univ, Pocatello Mathematics D. A. NEW YORK ILLINOIS Adelphi Univ, Garden City Mathematics other lllinois State Univ, Normal CUNY, Graduate School, New York Mathematics D. A. Mathematics Ph.D. Univ Chicago, Chicago Clarkson Coll of Technology, Potsdam Mathematics Ph.D, Mathematics Ph.D. Univ lllinois, Chicago Circle Cornell Univ, Ithaca Mathematics D. A. Biometrics Ph.D, Univ lllinois, Urbana New York Univ, Courant, New York Mathematics Ph.D. Mathematics Ph.D, Syracuse Univ, Syracuse INDIANA Mathematics Ph.D. Indiana Univ, Bloomington Univ Rochester, Rochester Mathematics Ph, D. Statistics Ph.D. KANSAS NORTH CAROLINA Kansas 'State Univ, Manhattan North Carolina State Univ, Raleigh Mathematics Ph. D. Mathematics and Science Education Ph.D, 583 omo TEXAS Ohio state Univ, Columbus North Texas state Univ, Denton Computer and Information Sciences Ph. D. Mathematics Ph.D. Ohio Univ, Athens Univ Texas, Austin Mathematics Ph. D. Mathematics Ph.D. Univ Cincinnati, Cincinnati Mathematical Sciences D. A., Other VIRGINIA Univ Toledo, Toledo Mathematics Virginia Polytechnic Institute and Ph.D. state Univ, Blacksburg OKLAHOMA Mathematics Ph.D. Oklahoma State Univ, Stillwater WASHINGTON Mathematics Ed. D. statistics Ed. D. Washington state Univ, Pullman Pure and Applied Mathematics D. A. PENNSYLVANIA WISCONSIN Carnegie-Mellon Univ, Pittsburgh Mathematics D.A. Univ Wisconsin, Madison Pennsylvania state Univ, University Park Mathematics Ph.D. Mathematics Ed. D. statistics Ph.D. Temple Univ, Philadelphia Mathematics Ph. D. WYOMING Univ Pittsburgh, Pittsburgh Univ Wyoming, Laramie Biostatistics Sc. D. Mathematics Ph.D. Mathematics and Statistics Ph. D. SOUTH CAROLINA CANADA Medical Univ South Carolina, Charleston Univ British Columbia, Vancouver, Biometry Ph.D. British Columbia Computer Science Ph.D. TENNESSEE Univ Waterloo, Waterloo, Ontario statistics Ph.D. Memphis state Univ, Memphis Univ Western Ontario, London, Ontario Mathematical Sciences Ph.D. Mathematics Ph.D. MRTHEMRTICRL SCIENCES 1Q7Q administrative directory • PROFESSIONAL MATHEMATICAL ASSOCIATIONS • ACADEMIC INSTITUTIONS- DEPARTMENTS IN THE MATHEMATICAL SCIENCES AND OTHER FACILITIES in the U.S., Canada, Central America, and the Caribbean, coded according to the highest degree offered • NONACADEMIC ORGANIZATIONS • HEADS AND KEY PERSONNEL of a selected group of government agencies • EDITORS OF JOURNALS in the mathematical sciences • OFFICERS AND COMMITTEE MEMBERS in more than 25 professional mathematical organizations • AN INDEX OF COLLEGES AND UNIVERSITIES $6.00 Publication date: March 15, 1979 Code: ADMDIR/79- Prepayment Required american mathematical society p. o. box 1571. annex station. providence. r. i. 02QO 1 584 II. Stipends for Study and Travel GRADUATE SUPPORT American Association for the Advancement of Science. Summer Employment. Provides support for up to twenty outstanding graduate students in the social and natural sciences as intern reporters, researchers and production assistants in the mass media for 10-12 weeks during the summer of 1979. (Exceptional undergraduate or postdoctoral students will also be considered.) Interns will work for radio and television stations, newspapers and magazines and will have their travel expenses and stipends paid by the AAAS. Interns will have the opportunity to: observe and participate in the process by which events and ideas become news items; improve their communication skills by describing, within the constraints of a particular medium, complex technical subjects in a manner understandable by lay people; and, increase their understanding of editorial decision-making and the manner in which information is effectively disseminated. Each intern will: attend an orientation and evaluation session in Washington, D.C.; normally begin the 10-12 week internship in mid-June; and, submit an interim and final report to AAAS to help evaluate the program. Interested students should write for more information and application procedures to: Coordinator, Mass Media Intern Program, American Association for the Advancement of Science, 1776 Massachusetts Avenue, N.W., Washington, D.C. 20036. American Indian Fellowships. A program for Native Americans enrolled in a graduate or professional program in the fields of law, medicine, business, engineering, forestry, or a field related to one of these five areas. Write to Indian Fellowship Program, U.S. Office of Education, Office of Indian Education, 400 Maryland Avenue, S.W., Washington, D.C. 20202. Ames Laboratory. Graduate Assistantships. Areas of interest include computer languages, program ming systems for command and control, adaptive and self-organizing logic systems with application to control processes, numerical analysis, differential and integral equations, special function theory, and applied mathematics. Direct inquiries to Dr. R. S. Hansen, Director, Ames Laboratory, Iowa State University, Ames, Iowa 50011. Associated Western Universities (AWU). AWU is a contractor for the U. S. Department of Energy, providing stipends and other necessary renumeration to teaching faculty members and to student participants who desire to become involved in an energy or energy-related research project at one of the cooperative laboratories or centers in the western U. S. For information write to Associated Western Universities, Inc., 136 East South Temple, Suite 1005, Salt Lake City, Utah 84111. Battelle Memorial Institute, Pacific Northwest Laboratory. Mathematics efforts in support of a number of on-going Department of Energy programs include neutron transport and radiative transfer, plasma dynamics, electromagnetic theory, applied statistics, diffusion processes, two-phase fluid flow, stochas tic processes, and economic modelling. A limited number of summer appointments are available to faculty members, graduate students, and undergraduates through the Northwest College and University Association for Science (NORCUS) Program. Inquiries should be directed to NORCUS Office, Joint Center for Graduate Study, 100 Sprout Road, Richland, Washington 99352. California State Graduate Fellowships. The state offers fellowships to cover tuition and fees only, for residents of California who attend accredited graduate or professional schools located in California. Write to Director, California Student Aid Commission, 1410 Fifth Street, Sacramento, California 95814. The 1979 deadline to apply is February 5, 1979. Center for Naval Analyses. Summer Employment. CNA, operated under contract with the University of Rochester, is engaged in a broad spectrum of operations research and systems analysis studies for the U.S. Navy, Marine Corps, and other government agencies. Opportunities are available for graduate students in operations research, economics, engineering, mathematics, physics, and statistics. Assignments include analysis related to force level planning, manpower, logistics, and operational effectiveness. U.S. citizenship required. Information may be obtained from Mr. P. D. Moke, Employment Manager, Center for Naval Analyses, 1401 Wilson Boulevard, Arlington, Virginia 22209. 585 Courant Institute. Fellowships and Assistantships. Awards are made for predoctoral study in applied mathematics, mathematical physics, and computer science. Typically, awards are $3,600 for the academic year plus tuition, and are renewable. Deadline for applications is January 15, 1979. Applications can be obtained from the Fellowship Committee, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. Danforth Graduate Fellowships. Approximately one hundred fellowships are awarded annually to U.S. citizens committed to careers in college and university teaching, and dedicated to a life of service guided by moral or ethical values; in subject-matter specializations likely to be taught in an undergraduate liberal arts curriculum, and for pursuit of the Ph.D. at an accedited U.S. university of the Fellow's choice. Fellowships are for one year, with the possibility of renewal for up to four years, and include up to $4,000 for tuition and fees plus a modest living stipend. Twenty-five percent of the fellowships are expected to be awarded to Blacks, Mexican-Americans, Native Americans (including American Indians, Eskimos, Aleuts, and Native Hawaiians), and Puerto Ricans. Applicants may be college seniors or Ph.D. students, and must be nominated by campus Liaison Officers. The deadline for completed applications is December 15, 1978. Detailed information is available from the Danforth Graduate Fellowship Program, Danforth Foundation, 222 South Central Avenue, St. Louis, Missouri 63105. Daniel and Florence Guggenheim Foundation. Fellowships for U.S. and Canadian residents interested in jet propulsion, energy conversion, fluid mechanics and flight structures. For information on flight structures, write to the Department of Civil Engineering and Engineering Mechanics, Columbia University. For information on jet propulsion and fluid mechanics, write to the Director of Graduate Studies, Mechanical and Aerospace Engineering, Princeton University. Those interested in elasticity, fluid mechanics and thermodynamics in the engineering field, can write for information from the California Institute of Technology. Fannie and John Hertz Foundation Fellowships. Offered on the basis of academic and research performance, recommendations, and personal interview, for the support of personal and institutional expenses during graduate education directed toward the Ph.D. degree in applied physical sciences. Tenable at the Department of Applied Science of the Davis Campus, and at all campuses of the University of California; California Institute of Technology; Carnegie-Mellon University; The Univer sity of Chicago; Courant Institute of Mathematical Sciences, New York University; Georgia Institute of Technology; Massachusetts Institute of Technology; Polytechnic Institute of New York; Rensselaer Polytechnic Institute; Rice University; University of Rochester; Stanford University; Texas A & M University; and Vanderbilt University. Application deadline is December 1. Applicants should contact the Office of the Graduate Dean at these institutions, or write directly to the Hertz Foundation, P. 0. Box 2230, Livermore, California 94550. General Electric Foundation. Provides research and study grants to selected institutions on a pro grammed, rotational basis, to be used by the graduate departments as they deem appropriate, which includes fellowships and teaching assistantships in some cases. The Foundation does not grant fellowships or other awards to individuals. For specific information regarding institutions to which grants have been made, write to Richard E. Kramer, Jr., 1285 Boston Avenue, Bridgeport, Connecticut 06602. Graduate Women in Science. See Sigma Delta Epsilon. Hubert H. Humphrey Doctoral Fellowships. A wards are made by the U. S. Arms Control and Disarmament Agency (ACDA) to stimulate interest in the study of arms control in universities around the country by supporting unclassified doctoral dissertation research in the field. Applicants must be U. S. citizens or nationals and must have completed all requirements for the doctorate, except the dissertation, at a U. S. college or university. The stipend will be $3,900 for a 12-month period, plus applicable tuition and fees for one year. Application deadline is March 1, 1979, for the award period September 1, 1979- August 31, 1980. For application materials write: Hubert H. Humphrey Fellow ship Program, U. S. Arms Control and Disarmament Agency, Washington, D.C. 20451. Hughes Aircraft Company Fellowships. Master's and Doctoral Fellowships are awarded on a nation wide competitive basis to highly qualified individuals for study at selected universities. The Master's Fellowships are mostly of the work-study type. Deadline for applications is February 1. Write to Hughes Aircraft Company, Centinela and Teale Streets, Culver City, California 90230. 586 Johns Hopkins University. School scholarships are available to students seeking the Sc.M. or Ph.D. in biostatistics. Applicants should have one year of biological, physical, or social science in addition to preparation in mathematics. Address inquiries to Chairman, Department of Biostatistics, School of Hygiene and Public Health, 615 North Wolfe Street, Baltimore, Maryland 21205. Kappa Kappa Gamma Fraternity. Fellowships. Awards of $500-$750 for graduate study in all fields. These are open to women who are citizens of the United States or Canada and who have received a Bachelor's degree or will obtain it prior to July l of the year in which the awards are made. This degree must be from an institution where a chapter of Kappa Kappa Gamma is located or graduate work must be taken on a campus where a chapter is located. A wards are made entirely on a competitive basis without regard to fraternity affiliation. A candidate must be a person with high scholastic standing who is outstanding in some form of activity and who has made a real contribution to the life of her alma mater. She should have a well-outlined plan for graduate activity, have a definite goal in prospect, and know what use she expects to make of her work in the future. Applications must be completed before February 15. Forms are available from Dr. Miriam Locke, Chairman of Fellowships, Kappa Kappa Gamma Fraternity, 1715 Fourth Street, Tuscaloosa, Alabama 35401. Kosciuszko Foundation. Scholarships and grants for Americans of Polish background. Application deadline is January 15. For information write to Scholarship and Exchange Programs, The Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021. Laboratory Graduate Participation. Opportunity for graduate students working toward master's and doctoral degrees in scientific fields, including mathematics, to use DOE installations at Oak Ridge, Center for Energy & Environment Research, Puerto Rico, Savannah River Laboratory, and Savannah River Ecology Laboratory for thesis research. The annual stipend payment, applicable for all levels, is $4,000, with allowances: $1,000 for spouse and child, $1,500 for spouse and 2 or more children. An additional $1 ,000 allowance for unusual situations of urgent need is available. U.S. citizenship is required. About twenty-five appointments are awarded annually. Inquiries may be addressed to University Programs, Oak Ridge Associated Universities, P. 0. Box 117, Oak Ridge, Tennessee 37830. National Science Foundation. Graduate Fellowships. Three-year awards available to citizens or nationals of the U.S. for full-time study leading to master's or doctoral degrees in science (including mathematics). Awards made only to students who have completed not more than one year of graduate study. Stipends of $3,900 for a 12-month tenure ($325 per month), regardless of level of study. No dependency allowances. Education allowance paid to U.S. fellowship institution; tuition and fees to foreign fellowship. Scores attained on the Graduate Record Examinations (GRE) are used in evaluation of applicants. Application deadline November 30, 1978. Further information and applica tion materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N.W., Washington, D.C. 20418. National Science Foundation. Minority Graduate Fellowships. Awarded for study or work leading to the master's or doctoral degrees, these fellowships are granted for periods of three years. They are open to U.S. citizens or nationals who are members of an ethnic minority group underrepresented in the advanced levels of the U.S. science personnel pool, i.e., American Indian, Alaskan Native (Eskimo or Aleut), Black, Mexican American/Chicano, or Puerto Rican. The stipend for 1979- 1980 is $3,900 for 12-month tenures, plus tuition allowance. The deadline for applications is December 8, 1978. Application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N.W., Washington, D.C. 20418. National Science Foundation. Science Faculty Professional Development Program. See description in Postgraduate Support section. Office of Naval Research. Supports research over a wide range of areas including mathematics, operations research, statistics and probability, information systems, and fluid dynamics. For informa tion write: The Director, Mathematical and Information Sciences Division, Office of Naval Research, Arlington, Virginia 22217. RCA Fellowships. Grants are limited to graduate study in electrical engineering, electronics, journalism and solid-state physics. Candidates are selected by appropriate officials at Columbia U ., Cornell U ., U. of Illinois, U. of Minnesota, Northwestern U., Pennsylvania State U., Princeton U. and Rutgers U. Although appointments are for one year, RCA Fellows are eligible for reappointment. Grants include payment of full tuition costs, stipend, and an unrestricted grant to the university department in which the Fellow is studying. For further information, write to the university. 587 Sigma Delta Epsilon, Graduate Women in Science, Inc. Awards are available on a competitive basis to women who hold a degree from a recognized institution of higher learning in one of the mathematical, physical or biological sciences and are currently involved in research or have an approved research proposal. Appointments will be made irrespective of race, nationality, creed or marital status. Two types of awards are available: Eloise Gerry Fellowship ($2,000 to $8,000, not to be used for a degree program; deadline for applications and credentials, December 1), and Grants-in-Aid ($750; deadline, January 15). Announcement of awards will be made by the following July I. Further information and application forms may be obtained from: Sigma Delta Epsilon, Graduate Women in Science, Inc., 1346 Connecticut Avenue, N.W., Room 1102, Washington, D.C. 20036. An individual may apply for only one of the two awards. The applicant should indicate to which type of award her inquiry is addressed. Smithsonian Institution. Predoctoral Fellowships. Appointments to students recommended by universi ties where they have substantially completed formal course requirements for the doctorate or its equivalent, to conduct research for the dissertation. Offered annually in the history of mathematics, for a period from six months to one year. $7,000 stipend, plus research expense allowance. The proposed project must be approved in advance by appointee's advisor, conducted within Smithsonian facilities, and must be related to research and interests of the Institution. Deadline for application is January 15th yearly for the following academic year. Further information and application forms may be obtained from the Office of Fellowships and Grants, Smithsonian Institution SI 356, Room 3300, L'Enfant Plaza, Washington, D.C. 20560. University of Massachusetts. Sabbatical Lectureships. Available in the Department of Mathematics and Statistics, these lectureships are open to faculty members of colleges or universities without a Ph.D. program in mathematics and/or statistics, who wish to spend their sabbatical leaves at the University of Massachusetts. Applicants should generally have a master's degree, but not a Ph.D; will be required to teach one course per semester and will be expected to enroll in one or two courses and a seminar. Stipends are available; tuition will be waived. For further information, write to Professor E. A. Connors, Head, Department of Mathematics and Statistics, University of Massa chusetts, Amherst, Massachusetts 01003. Woodrow Wilson Women's Studies Research Grants. Grants of up to $1,000 are available for students at graduate schools in the United States who have completed all pre-dissertation requirements, These grants are designed to encourage original and significant research about women on such topics as the evolution of women's role in society and particularly contemporary America, women in history, the education of women, the psychology of women, and women as seen in literature. Forms and further information are available from the Woodrow Wilson National Fellowship Foundation, Women's Studies Program, Box 642, Princeton, New Jersey 08540. The deadline for receipt of applications is November I. Zonta International. Amelia Earhart Fellowship A wards. For women holding a bachelor's degree in a science accepted as preparatory for advanced study in an aerospace-related science or engineering. Recipients will be granted $5,000, and past recipients may apply for renewed grants. Applications must be filed by January 1, 1979 for the 1979-1980 awards. Write to Zonta International, 59 East Van Buren Street, Chicago, Illinois 60605. POSTDOCTORAL SUPPORT Air Force Office of Scientific Research. Research Contracts and Grants. Mathematicians and scientists in the information or mathematical sciences are encouraged to submit proposals through their organizations, for research support. It would be helpful if proposals to be considered for a given fiscal year, which begins on October l, were submitted six months prior to that date. Recipients of support are not required to be U.S. citizens. Research areas of· interest include physical mathematics, probability, statistics; and logistics, numerical analysis, system science, control theory, and information science. Research proposals should be forwarded to the Director of Mathematical and Information Sciences, Air Force Office of Scientific Research, Bui'ding 410, Bolling AFB, Washington, D.C. 20332. American Association of University Women. American Fellowships. Awards dissertation and postdoc toral fellowships to women who are U.S. citizens and who have achieved distinction or promise of distinction in their fields of scholarly work. Grants are for a twelve-month duration with stipends varying from $3,500 to $9,000. Fellowships at the dissertation level are to be used for the final year 588 of doctoral work, while those at the postdoctoral level are for a full-time postdoctoral research project. The application deadline is December 15. Forins may be obtained from the Educational Foundation Programs Office, AAUW Educational Foundation, 2401 Virginia Avenue, N.W., Washington, D.C. 20037. American Mathematical Society Research Fellowship. Postdoctoral Fellowships. Open to citizens or permanent residents of a country in North America. Intended to support Research Fellows for one year and awarded on the basis of mathematical merit. Awards for 1979-1980 are to be $11,000 each plus $500 for expenses; application deadline for 1979-1980 awards is December 31, 1978. For further information and application forms write to Dr. William J. LeVeque, Executive Director, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. American Philosophical Society. Postdoctoral research grants of small amounts according to need, for candidates with Ph.D. or equivalent to aid specific research projects. Tenable abroad and in U.S. An application must reach the Society's office at least eight weeks in advance of the meeting at which it is to be considered. The Committee on Research meets on the first Friday of February, April, June, October, and December. For information write to the American Philosophical Society, 104 South Fifth Street, Philadelphia, Pennsylvania 19106. American Society for Engineering Education. NASA-ASEE Summer Faculty Fellowships. Engineering programs in research and design in collaboration with the National Aeronautics and Space Administra tion; for U.S. citizens who are faculty or research members, preferably with two years of teaching experience. Stipends are $400/week for ten or eleven weeks, plus travel allowance. Application deadline is February 1. For information write to NASA-ASEE Summer Faculty Fellowships, American Society for Engineering Education, Suite 400, One Dupont Circle, N.W., Washington, D.C. 20036. American Society for Engineering Education. USAF-ASEE Summer Faculty Research Programs. To learn whether these programs are available for 1979 write to USAF-ASEE Summer Faculty Research Program, American Society for Engineering Education, Suite 400, One Dupont Circle, N.W., Washington, D.C. 20036. Andrew Mellon Po!itdoctoral Fellowships. Intended to support the research and foster the professional development of scholars who give promise of achieving distinction in their fields. Applicants should submit a completed application form, a research proposal, a list of publications, and three letters of recommendation. The Fellows are expected to be in residence at the University of Pittsburgh and to engage in research during their period of appointment; they have no other formal responsibilities. A basic stipend of $10,000 for eleven months, plus an allowance for traveling expenses (up to $200) and incidental costs (not to exceed $200), make up the award. Nine-month appointments are available for a stipend of $8,200. Applications may be obtained from the Director of Graduate Programs, Faculty of Arts and Sciences, University of Pittsburgh, Pittsburgh, Pennsylvania 15260. Argonne National Laboratory. Predoctoral, postdoctoral, and visiting scientist appointments in math ematics and computer science with an emphasis on applied analysis and numerical mathematics. Summer appointments available at undergraduate through visiting scientist levels. Contact: Richard J. Royston, Director, Applied Mathematics Division, Argonne National Laboratory, Argonne, Illinois 60439. Benjamin Peirce Lectureships. Harvard University. Rank of Assistant Professor. The appointments are for three years with a starting salary of $15,000 (for the nine-month academic year) and can be augmented during the summer by teaching at summer school or by work on a research contract if funds are available. The teaching commitment is six hours a week, including a graduate course on a· subject of the lecturer's choice, if desired. Application forms may be obtained by writing to the Chairman, Benjamin Peirce Lectureships, Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138. Applications must be filed by January 9, 1979. Harvard is an Equal Opportunity/Affirmative Action .Employer. Brookhaven National Laboratory. The Applied Mathematics Department of Brookhaven National Laboratory, operated by Associated Universities, Inc., under contract with the U.S. Dept. of Energy, from time to time offers a limited number of Research Associate appointments to Ph.D's. These are salaried positions, as distinguished from postdoctoral fellowships or stipends, and are limited to a total of three years. Large scale digital computing facilities, including a CYBER 70/76 and two CDC 6600 computing systems, are available for use by the appointees. Some areas of interest to the Department are probability and statistics, linear operator theory, differential and integral 589 equations, numerical analysis and approximation theory, mathematical programming, and computer science. Inquiries should be directed to: Department Chairman, Applied Mathematics Department, Brookhaven National Laboratory, Upton, Long Island, New York 11973. C.L.E. Moore Instructorships in Mathematics. Offered by the Department of Mathematics at the Massachusetts Institute of Technology. Open to mathematicians with doctorates who show definite promise in research. The base salary will be at least $16,750, and the teaching load is six hours per week in one semester and three hours per week in the other. The appointments are annual but renewable for one additional year. Applications should be filed, by December 30 if possible, on forms obtained from the Department of Mathematics, 2-263, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139. M.I.T. is an Equal Opportunity Employer. Congressional Science Fellowship. Sponsored jointly by the AMS-MAA-SIAM in cooperation with the AAAS, the fellowship offers a stipend of $18,000 for one year spent working on the staff of a congressman, a congressional committee or in the congressional Office of Technology Assessment. The applicant should be at the postdoctoral level, have a broad scientific and technical background, and have a strong interest in the uses of the mathematical and other sciences in the solution of societal problems. Further information on the general program can be obtained on request from Dr. Richard Scribner, Director, AAAS Congressional Science Fellow Program, 1776 Massachusetts Avenue, N.W., Washington, D.C. 20036. Applications with three letters of recommendation should be received by 15 February 1978 by the Conference Board of the Mathematical Sciences, 1500 Massachusetts Avenue, N.W., Suite 457-8, Washington, D. C. 20005. Courant Institute. Instructorships in Mathematics. Open to mathematicians (of any age) who are recent recipients of doctor's degrees who show strong promise in research. The teaching duty will consist of one course each term. Appointments are for two years. The academic salary for nine months will be $15,500. In addition, the Courant Institute may be able to offer support for research in residence during two summer months. (When longer term faculty positions are available, applicants for Instructorships will also be considered for them.) Inquiries and requests for application forms should be addressed to the Committee on Instructorships and Visiting Memberships, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. Applications should be filed no later than January l, 1979. N.Y.U. is an Equal Opportunity Affirmative Action Employer. Courant Institute. Postdoctoral Visiting Memberships. The Courant Institute of Mathematical Sciences of New York University offers postdoctoral Visiting Memberships to mathematicians, scientists and engineers who are interested in its program of training and research in a broad range of pure and applied mathematics. Applications for the academic year 1979-1980 must be submitted before January l, 1979. Inquiries and requests for application forms should be addressed to the Committee on Instructorships and Visiting Memberships, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. N.Y.U. is an Equal Opportunity Affirmative Action Employer. Department of State, Agency for International Development. Research grants for research projects and analytical studies on development policy issues emphasizing food production, nutrition, health, education, population, socio-economic and related issues. Research groups are encouraged to propose research to the Agency within the above areas. For further information, write to Mr. John R. Eriksson, Policy Development and Program Review, Bureau for Program and Policy Coordination, Agency for International Development, Department of State, Washington, D.C. 20523. E. R. Hedrick Assistant Professorships in Mathematics. Department of Mathematics, University of California, Los Angeles, will make two appointments for the year 1979-1980. These awards will be made to mathematicians with Ph.D.'s who show strong promise in research. The appointment wiii be for two years at an annual salary of $17,900, plus a summei research supplement of $2,500. The teaching load will be three hours per week for two quarters and six hours per week for one quarter. One course may be an advanced course in the candidate's research area. Requests for application forms should be sent to the Chairman, Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, California 90024. The deadline for applications is January 15, 1979. UCLA is an Equal Opportunity Employer. G. C. Evans Instructorships. Postdoctoral appointments for two-three years for promising research mathematicians with research interests in common with the active research areas at Rice. Applications 590 should be in by 15 January 1979. Rice University is an Equal OpportunityI Affirmative Action Employer. Inquiries and applications should be addressed to Professor R. 0. Wells, Jr., Chairman, Department of Mathematics, Rice University, Houston, Texas 77001. IBM Thomas J. Watson Research Center. Mathematical Sciences Department Postdoctoral Fellow ships. These fellowships provide scientists of outstanding ability an opportunity to advance their scholarship while members of the Mathematical Sciences Department at the Research Center. The Department provides an atmosphere of basic research in pure and applied mathematics in an industrial context. A candidate will be expected to have a doctorate . The duration of each fellowship will be eleven months. Generally the stipend will be in the range of $22,000-$28,000, depending on qualifications. Completed applications should be received by January 15, 1979. At most two fellowships will be awarded. Notification will be made by March 15, 1979. Write to Director, Mathematical Sciences Department, IBM Thomas J. Watson Research Center, P. 0. Box 218, Yorktown Heights, New York 10598. IPA-DOT Research Fellow Program. The Intergovernmental Personnel Act provided for a temporary exchange of personnel between institutions of higher education and the U.S. Department of Transpor tation (DOT) for work of mutual concern and benefit. Assignments of up to one year are made at various locations in the DOT to do research on transportation and/or transportation-related problems. These problems involve complex issues concerning modal operations, intermodal conflicts, and the overall tenor of national transportation. The Research Fellow Program calls for proposals from qualified full-time faculty members at accredited universities or colleges about specific research areas of long-term problems which are defined by DOT and which need detailed study. For further information write to the U.S. Department of Transportation, Office of University Research, Research and Special Programs Directorate, Washington, D. C 20590. Institute for Computer Applications in Science and Engineering (I CASE). A limited number of visiting appointments are available for both junior- and senior-level researchers at the Institute for Computer Applications in Science and Engineering (ICASE) which is operated by Universities Space Research Association. ICASE serves as a center for interaction between Langley Research Center staff and the academic community in the areas of applied and numerical mathematics, applied computer science, and development of mathematical models in a variety of application areas. Applications for partial support while on sabbatical leave are encouraged, as are applications from Ph.D.'s for two-year renewable appointments. Inquiries should be addressed to the Director, ICASE, Mailstop l32C, NASA Langley Research Center, Hampton, Virginia 23665. Institute for Advanced Study Memberships. The School of Mathematics will grant a limited number of memberships, some with financial support, for research in mathematics at the Institute during the academic year 1979-1980. Candidates must have given evidence of ability in research comparable at least with that expected for the Ph.D. degree. Application blanks may be obtained from the Administrative Officer of the School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, and should be returned (whether or not funds are expected from some other source) by January 15, 1979. An Equal Opportunity/Affirmative Action Employer. J. Willard Gibbs, Instructorships. Offered by Yale University to men and women with the doctorate who show definite promise in research in pure mathematics. Applications from women and members of minority groups are welcome. Appointments are for two years. The 1978-1979 salary is $15,500; an increase is expected for 1979-1980. The teaching load is kept light so as to allow ample time for research. If desired, part of the teaching duties may consist of a one-semester course at the graduate level in the general area of the instructor's research. Inquiries and applications should be addressed to the Gibbs Committee, Department of Mathematics, Yale University, Box 2155 Yale Station, New Haven, Connecticut 06520. Preference will be given to applications received before February 1979. Jacob David Tamarkin Instuctorships. Offered by Brown University to promising mathematicians. Appointments are for three years, with a salary of $13,750 for the academic year. Additional summer support can be arranged. Teaching load is six hours per week and consists of courses of more than routine interest. An applicant should have completed the doctorate by the time the appointment is to begin. In addition to a letter expressing interest in a Tamarkin Instructorship, the applicant should have three letters of recommendation sent to the Department of Mathematics by January I, 1979. Women and members of minority groups are encouraged to apply. Applicants should write to the Chairman, Department of Mathematics, Brown University, Providence, Rhode Island 02912. 591 John Simon Guggenheim Memorial Foundation Fellowships. Fellows are usually between thirty and forty-five years of age, but the Committee of Selection also is empowered to nominate persons older than forty-five and younger than thirty. Fellowships are on an advanced professional level. U.S. or Canadian citizenship or permanent residence is required. Fellowships are also offered to citizens or permanent residents of all countries and territories of the Western Hemisphere and of the Philippines. Application deadline: October I. Approximately 300 awards are made, averaging approximately $15,600 in 1978. For more information write to Gordon N. Ray, President, John Simon Guggenheim Memorial Foundation, 90 Park Avenue, New York, New York 10016. John Wesley Young Research Instructorships. Two instructorships are normally awarded by Dartmouth College each year. Teaching duties average six hours per week and are of a varied and nonroutine nature. The academic-year stipend of $14,500 is supplemented by a resident summer research fellowship of $2,000. Appointments are for two years and are not renewable. Applicants should write to Richard H. Crowell, Chairman, Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 (Attention: RECRUITING). Applicants are advised to apply promptly, and no later than February 15, 1979. Lawrence Berkeley Laboratory. Occasional postdoctoral research appointments. Topics of special interest include: numerical solution of partial differential equations, mathematical programming, energy system applications, environmental and economic modeling, analysis and computer graphic display of multidimensional data, and critical path methods. Inquiries should be directed to Dr. Paul Concus, Lawrence Berkeley Laboratory, Building 90, Room 3108, University of California, Berkeley, California 94720. Lawren~e Livermore Laboratory. Postdoctoral research appointments and graduate research assistant ships. Areas of special interest include development of computer systems, computer graphics, numerical analysis, and programming science. U.S. citizenship required. Inquiries should be directed to Robert M. Lee (L-61), Computation Department, Lawrence Livermore Laboratory, University of California, Livermore, California 94550. L. E. Dickson Instructorships in Mathematics. Intended for men and women completing the doctorate in mathematics prior to 1979. Appointment is for two years with an annual salary of $17,000; instruction averaging four hours a week; supplementary summer salary can usually be arranged. Application deadline is January 12, 1979. Further information may be obtained from the Chairman, Department of Mathematics, University of Chicago, Chicago, Illinois 60637. Los Alamos Scientific Laboratory. Offered to U.S. citizens holding the Ph.D., with research opportuni ties in computer science, numerical science, and applied mathematics. A limited number of postdoctoral appointments are available for one year, subject to renewal for a second year. Los Alamos Scientific Laboratory is an equal opportunity employer. Write to Employment Office, Los Alamos Scientific Laboratory, University of California, P. 0. Box 1663, Los Alamos, New Mexico 87545. Los Alamos Scientific Laboratory. J. Robert Oppenheimer Research Fellowships. Candidates must be recipients of a doctorate in the physical sciences, natural sciences, mathematics or engineering. One- to three-year appointments; salary is $22,500. For additional information write to Employment Office, Los Alamos Scientific Laboratory, P. 0. Box 1663, Los Alamos, New Mexico 87545. Mathematics Research Center. A limited number of visiting research appointments at all levels from postdoctoral up, in areas of applicable or applied mathematics interpreted in a broad sense, but including analysis, numerical analysis and computing, probability and statistics, and operations research. The postdoctoral appointments offer Ph.D.'s working in areas of applicable mathematics an opportunity to broaden their contact with applications. Qualifications include outstanding research ability or potential, as attested to by leading mathematicians in the candidate's field. The University of Wisconsin is an equai empioyment opportunity institution (Title IX/Title VI). For information write Professor Ben Noble, Director, Mathematics Research Center, University of Wisconsin- Madison, Madison, Wisconsin 53706. National Aeronautics and Space Administration. Research Grants. Through grants and contracts to educational and nonprofit institutions and industries, NASA sponsors research in fundamental and applied mathematics related to space science and engineering problems. Unsolicited proposals should be submitted to the University Affairs Office, Code LU-16, National Aeronautics and Space Administration, Washington, D. C. 20546. 592 National Center for Atmospheric Research. Advanced Study Program. Postdoctoral Fellowships are offered for highly qualified atmospheric scientists, and scientists from related disciplines, who wish to continue basic research in the atmospheric sciences. Appointments are for a one-year period with a possible extention for an additional year. Stipends are $17,500 for recent recipients of Ph.D. The application deadline is January 15. Inquiries should be sent to Maurice Blackmon, Chairman, Advanced Study Program, NCAR, Boulder, Colorado 80307. National Research Council. Research Associateship Programs. These programs provide scientists and engineers opportunities for postdoctoral research on problems in a variety of scientific disciplines and fields of specialization. The programs are conducted in cooperation with selected Federal organizations wi~h laboratories at approximately sixty-five geographic locations in the United States. Applications for these competitive awards will be received by the National Research Council until January 15, 1979. Appointments will be made in the spring. Stipends, which are subject to income tax, will vary according to the type of appointment, but will not be less than $18,000. Further information and application materials can be obtained from the Associateship Office (JH 606-M), National Research Council, 2101 Constitution Avenue, N.W., Washington, D.C. 20418. National Science Foundation. Computer Science Research. Grants support research concerned with such topics as theoretical foundations of computer science; software systems science, software engineering, intelligent systems, and computer systems design. Guidelines on eligibility and proposal preparation are available in "Grants for Scientific Research." For this brochure and additional information write: Computer Science Section, Division of Mathematical and Computer Sciences, National Science Foundation, 1800 G Street, N.W., Washington, D.C. 20550. National Science Foundation. National Needs Postdoctoral Fellowships. Approximately 100 fellowships for postdoctoral research and study concerned with national needs. Open to U.S. citizens or nationals with doctorates in science. The $12,000 stipend ($1,000 per month) provides for twelve months of study and research at any appropriate U.S. or foreign institution. Deadline for filing applications is early November. Applications may be obtained by writing the Fellowship Office, National Research Council, 2101 Constitution Avenue, N.W., Washington, D.C. 20418. National Science Foundation. Research and Travel Grants. Proposals are accepted at any time, but in order to insure full consideration, proposals requesting research support which is to begin prior to September 1, 1979, should be in the hands of the Foundation six months prior to the desired starting date of such support, but not later than October 25, 1978. Application for travel assistance should be made well in advance (at least five months) of the time of the scheduled travel. Instructions for the preparation of proposals, contained in a booklet entitled "Grants for Scientific Research" may be obtained upon request from the Mathematical Sciences Section, National Science Foundation, Washington, D.C. 20550. National Science Foundation. Science for Citizens Program. Public Service Science Residencies are awarded to enable scientists and engineers to undertake up to a year's activities with citizen groups and other appropriate organizations in need of their expertise. Residents receive a stipend of $18,000 for a 12-month tenure, with current salary matched up to a maximum of $25,000; interns receive a $6,000 stipend for a 12-month tenure. The deadline for applications is March 15. Requests for information should be directed to Office of Science for Citizens, Science Education Directorate, National Science Foundation, Washington, D.C. 20550. National Science Foundation. Science Faculty Professional Development Program. Training opportuni ties for three to twelve month tenures in academic or nonacademic organizations for teachers of science, mathematics, or engineering in universities, colleges, or junior and community colleges. Approximately 100 awards will be made to faculty who are citizens or nationals of the United States, have at least a baccalaureate, have had four or more years of full-time teaching experience, and hold an academic appointment in a United States college or university. Support includes stipend, travel allowance, and an assistance allowance to the tenure organization. The application deadline is December 4, 1978. Application materials can be obtained from the Faculty-Oriented Programs, Division of Scientific Personnel Improvement, National Science Foundation, Washington, D.C. 20550. Office of Naval Research. Supports research over a wide range of areas including mathematics, operations research, statistics and probability, information systems, and fluid dynamics. Proposals for research contracts and requests for information on ONR Programs should be addressed to: The Director, Mathematical and Information Sciences Division, Office of Naval Research, Arlington, Virginia 22217. 593 Oskar Morgenstern Distinguished Fellowship at Mathematica. The grant enables a member of the academic or research staff of a university, an official of the U.S. government, or a researcher elsewhere, to spend sabbatical leave at Mathematica. Applicants are expected to have achieved significant accomplishments in at least one of several areas, including computer programming languages, information management, operations research methods and applications, economic theory, economic and social policy analysis, survey research methodology, arms control, and national defense policy. Information may be obtained from President Tibor Fabian, Mathematica, Inc., P. 0. Box 2392, Princeton, New Jersey 08540. OT A Congressional Fellowships. The Office of Technology Assessment, an agency of the U.S. Congress, selects several Congressional Fellows each year for a fellowship period of one year. Candidates must have completed research and training at the doctoral level, or have equivalent experience as judged by the selection committee. The program is open to men and women in all disciplines of science and technology and related policy or research activities, and provides a challenging work experience through participation in policy analyses for the Congress involving the effects of technological applications. Application deadline is July 30 for the following fall. Salary is based on the Fellows' current salary and/or training and experience. Application information can be obtained from: Congressional Fellowships, Office of Technology Assessment, Congress of the United States, Washington, D.C. 20510. Sloan Foundation. Unrestricted grants made to selected university scientists in the physical sciences (including mathematics) and in neuroscience. Candidates in the physical sciences must be members of the regular faculty, though not necessarily in a tenured position, at a recognized college or university in the United States or Canada. In neuroscience, postdoctoral fellows as well as those in junior faculty positions will be considered. Candidates do not apply but are nominated by their department chairmen or other scientists. For information write to the Alfred P. Sloan Foundation, 630 Fifth Avenue, New York, New York 10020. Smithsonian Institution. Postdoctoral Fellowships. Appointments to individuals possessing the Ph.D. or equivalent degree, and limited to those individuals requiring research training in association with a member of the Institution's professional staff. Offered annually in the history of mathematics, usually for a period of from six months to one year. Twelve thousand dollars stipend, plus research expense allowance. Deadline for application is January 15th yearly for the following academic year. Further information and application forms may be obtained f(om the Office of Fellowships and Grants, Room 3300, L'Enfant Plaza, Smithsonian Institution, Washington, D.C. 20560. State University of New York at Buffalo. George William Hill and Emmy Noether Research Instructorships for 1979-1980. Applicants should be Ph.D.'s whose degrees will be completed by September 1, 1979. All areas of pure and applied mathematics will be considered. Each appointment is for two years. The twelve-month stipend, beginning September 1979, is $16,200 including generous staff benefits. Teaching load will total two one-semester courses during the twelve-month period. Upon expiration of the two-year appointment, priority consideration for a two-year (tenure-track) appoint ment as assistant professor will be given and will be based upon success and potential in both research and teaching. Each applicant should prepare a summary of his or her post-high school educational background, as well as a sketch of past and projected research activity, and should request at least four mathematicians to send letters of recommendation. Application forms are available upon request. Applications and supporting letters should be sent to the Chairman, Department of Mathematics, SUNY/Buffalo, 106 Diefendorf Hall, Buffalo, New York 14214, so as to arrive by January 20, 1979. SUNY/Buffalo is an Equal Opportunity/Affirmative Action Employer. We are interested in identifying prospective minority and woman candidates. No person in whatever relation with SUNY/Buffalo shall be subject to discrimination on the basis of race, ethnic background, naiional origin, religion, color, age, sex or condition of handicap. T. H. Hildebrandt Research Assistant Professorships. Designed to provide mathematicians with favorable circumstances for the development of their research talents. Preference given to persons of any age having their Ph.D. less than two years. At least one appointment is expected to be available for the coming academic year. Teaching load averages one and one-half courses per semester; part of teaching load consists of an advanced course. Stipend at least $15,000 for academic year 1979-1980 with good possibility of additional income during the summer. Appointment is for three years. Applicants should submit completed application form and request at least three letters of recommenda tion. Letter should contain comments on applicant's mathematical promise, teaching ability, and 594 personality. First preference will be given to applications completed, and supported by three or more letters, prior to January 2. Appointments will be announced by the end of January. Applications should be made to Professor F. W. Gehring, Chairman, Department of Mathematics, the University of Michigan, Ann Arbor, Michigan 48109. Affirmative Action Employer. U.S. Department of Energy (DOE). Special University-Laboratory Cooperation. Participants engage in laboratory-approved projects in a program designed to increase the interactions and flow of information between universities and DOE laboratories. Included is research in applied mathematics and computer science. Inquiries should be addressed to the Director at any of the following organizations: Associated Western Universities, 136 East South Temple (Suite 1005), Salt Lake City, Utah 84111; Argonne Center for Educational Affairs, 9700 South Cass Avenue, Argonne, Illinois 60439; Brookhaven National Laboratory, Upton, New York 11973; Northwest College and University Association for Science (NORCUS), 100 Sprout Road, Richland, Washington 99352; Oak Ridge Associated Universities, Oak Ridge, Tennessee 37830. U.S. Department of Health, Education, and Welfare, National Institutes of Health. Supports postdoc toral training in specified areas of biomedical and behavioral research. Applicant must have earned an appropriate degree and arranged for appointment to an institution and acceptance by a sponsor who will supervise the training research experience. U.S. citizenship or lawful admittance to the U.S. for permanent residence is required. Announcements and ·application kits available from Office of Grants Inquiries, Division of Research Grants, National Institutes of Health, Bethesda, Maryland 20014. An enclosed self-addressed gummed mailing label will expedite handling. University of Wisconsin-Madison. Van Vleck Assistant Professorships in Mathematics for 1979-1980. We invite applications from outstanding mathematicians who are recipients of a doctorate. We are looking for people who will interact well with members of our department, who care about teaching, and who can contribute to our research and instructional programs. The regular teaching load is two courses per semester, with at least one in your specialty every other year. There is a high probability of additional income through research or teaching during summers between consecutive years of appointment. The salary will be dependent on experience and will be at least $16,000 per academic year. All positions are for specified two- or three-year terms. Application blanks may be obtained by writing Professor Joshua Chover, Chairman, Department of Mathematics, 213 Van Vleck Hall, University of Wisconsin, Madison, WI 53706. University of Wisconsin-Madison is an Equal Opporut nity Employer. Vaclav Hlavaty Research Assistant Professorships. Offered by the Department of Mathematics at Indiana University to mathematicians with doctorates who show definite promise in research. The appointment is for three years with an academic-year salary of at least $15,000. The teaching duties during the first academic year will involve three hours per week and during the next two academic years will involve six hours per week. The salary may be supplemented by either teaching or research contracts during the summer months. There will also be an amount of $400 available for professional expenses, such as travel to meetings, supplies, publication costs, etc. Inquiries or requests for application forms should be addressed to Professor Morton Lowengrub, Chairman, Department of Mathematics, Swain Hall East, Indiana University, Bloomington, Indiana 47401. Preference will be given to applications received before January 1, 1979. Affirmative Action Employer. TRAVEL AND STUDY ABROAD Alexander von Humboldt Foundation. Research Fellowships. Provides postdoctoral scholars with the opportunity of carrying out a research project at a university or other research institute within the Federal Republic of Germany and Berlin (West). Scholars of all nationalities and disciplines may apply. Selection is based exclusively on academic merit. Applicants must have completed their academic studies, have evidence of a degree equivalent to the German doctorate, and for research in the humanities, have adequate knowledge of German. Applications may be obtained from and returned directly to the Alexander von Humboldt Foundation, Jean-Paul-Strasse 12, D-5300 Bonn-Bad Godesberg, Federal Republic of Germany. Alliance Franc;aise de New York. For U.S. Nationals, a limited number of scholarships for graduate study in France. Fields unrestricted. Scholarships are in the amount of $2,000. Applicants must have a working knowledge of French. For further information American students should write to Institute of International Education, Division of Study Abroad Program, 809 United Nations Plaza, New York, New York 10017. 595 American-Scandinavian Foundation. Fellowships for study in Scandinavia (Denmark, Finland, Iceland, Norway, and Sweden). Applicants must have completed their undergraduate education. Necessary language competence, financial need, and merit in pursuing the study program in Scandinavia are considered in making these awards. Completed application deadline is November 1. Write to the Exchange Division, The American-Scandinavian Foundation, 127 East 73rd Street, New York, New York 10021. E. D. Bergmann Memorial Research Grants. Two grants awarded annually by the United States-Israel Binational Science Foundation to one American and one Israeli scientist, for research to be conducted in Israel. Support will be for a two-year period. Applicants must have completed their doctoral degrees and cannot be on the paid staff of any institution. Application forms and guidelines are available from the National Science Foundation, Division of International Programs (United States-Israel Binational Science Foundation), Washington, D.C. 20550, or from the United States-Israel Binational Science Foundation, P. 0. Box 7677, Jerusalem. Application deadline is November 1 each year. Fulbright-Hays Program. Grants for Graduate Study Abroad. For graduate study or research in any field in which the project can be profitably undertaken abroad. Applicant must be a U.S. citizen and have language proficiency sufficient to carry out the proposed study and to communicate with the host country. If an applicant is already enrolled in a U.S. university, he must apply directly to the Fulbright Program Advisor on his campus. Unenrolled students may apply to the Institute of International Education. Further details may be obtained from the Study Abroad Programs, Institute of International Education, 809 United Nations Plaza, New York, New York 10017. Fulbright-Hays Program. Postdoctoral A wards. United States Government grants available annually in all fields for university lecturing and postdoctoral research abroad. Eligibility requirements include U.S. citizenship; for lecturing, college teaching experience; for research, a doctoral degree or recognized professional standing at the time of application. In certain cases a knowledge of the language of the host country is required. Grants are generally tenable for one academic year in one designated country and include round-trip transportation for the grantee, maintenance allowance to cover living expenses of grantee and family, and a small incidental allowance to cover supplies and services essential to the project. Subject to the availability of funds, a supplemental dollar grant for lecturers in most non-European countries may be given. Scholars are invited to register for annual announcements published in March. Application deadlines are June 1 for Australia, New Zealand, and American Republics; July I for Africa, Asia, and Europe for grant periods twelve-eighteen months later. Write to Council for International Exchange of Scholars, Suite 300, 11 Dupont Circle, Washington, D.C. 20036. Indo-American Fellowship Program. Twelve grants to be awarded to U.S. citizens for advanced research in India, for six- to ten-month periods during the academic year 1979-1980. In addition to a basic grant there are travel, dependent and research allowances. Also up to nine shorter grants (one- to six-months) for research and/or professional activity. Applications are encouraged for projects which include collaboration with Indian colleagues. Deadline for applications is November 1 each year. For details contact the Council for International Exchange of Scholars, Attention: Indo American Fellowships Program, Eleven Dupont Circle, Washington, D.C. 20036. Italian National Research Council Fellowships for Foreign Citizens. The Italian National Research Council announces five fellowships (maximum period one year) for foreign mathematicians. The stipend is 370.000 Italian Lire per month, plus travel expenses to and from the country of residence. Prospective applicants may write for details to: Alessandro Figa-Talamanca, C.N.R., via Santa Maria 13A, 50139 Firenze, Italy. In their letter they should include information concerning their curriculum, their research program, the names of the Italian mathematicians they would like to work with. They may also include a reference letter or have it sent directly. Kosciuszko Foundation. Graduate and Postgraduate Exchange with Poland. Open to U.S. citizens. Candidates must have at least a master's degree and a knowledge of the Polish language. Apply by January 15 for the following academic year. Write to Scholarship and Exchange Programs, Kosciusz~o Foundation, 15 East 65th Street, New York, New York 10021. Lady Davis Fellowship Trust. Fellowships for study and/or research at graduate or postdoctoral levels at the Hebrew University of Jerusalem and the Technion- Israel Institute of Technology, Haifa. Lady Davis Fellows will be selected on the basis of demonstrated excellence in their studies, promise of distinction in their chosen fields of specialization and qualities of mind, intellect and character. The 596 Fellowships are tenable for a period of one or two years, and are intended to defray travel and tuition fees and to meet reasonable living expenses. Deadline for completed applications is January 1, 1979. Application forms can be obtained from the Lady Davis Fellowship Trust, P. 0. Box 1255, Jerusalem, Israel. Lady Davis Visiting Professorships. Lady Davis Visiting Professorships, for periods from one trimester (or semester) to a full academic year, are intended for candidates with the rank of Full or Associate Professor at their own institution. Such Visiting Professors are appointed after consultation with the appropriate Faculties of the Hebrew University of Jerusalem or the Technion- Institute of Technolo gy, Haifa. The grant includes a professorial salary and cost of travel. Deadline for completed applications is November 30 for Hebrew University, December 31 for Technion. Application forms can be obtained from the Lady Davis Fellowship Trust, P. 0. Box 1255, Jerusalem, Israel. Marshall Scholarships. Offered by the British Government to U.S. graduates; tenable at any university in the United Kingdom. Recipients of awards are required to take a degree at their British university. Fields unrestricted. Apply through British Consulates-General in the following regions (I) Northeast: Suite 4740 Prudential Tower, Prudential Center, Boston, Massachusetts 02199; (2) Mideast: 12 South 12th Street, Philadelphia, Pennsylvania 19107; (3) South: Suite 912, 225 Peachtree Street, N.W., Atlanta, Georgia 30303; (4) Midwest: 33 North Dearborn Street, Chicago, Illinois 60602; (5) Pacific: 9th Floor, 120 Montgomery Street, San Francisco, California 94104. Middle East and Africa Field Research Fellowship Program for Black Americans. Applicant must be at dissertation level and have passed orals and comprehensives. The program provides opportunities for an extended research and training experience in the overseas setting. Write to Middle East and Africa Field Research Fellowship Program for Black Americans, National Fellowships Fund, Room 484, 795 Peachtree Street, N.E., Atlanta, Georgia 30308. The deadline for filing applications is January 5, 1979, for the 1979-1980 awards. National Academy of Sciences. For U.S. scientists who wish to make visits beginning during the period September 1979 through August 1980 in the USSR, Bulgaria, Czechoslovakia, the German Democrat ic Republic, Hungary, Poland, Romania or Yugoslavia. Visits of five to twelve months' duration are encouraged; a limited number of openings for one-month visits is also available. Requirements are U.S. citizenship and a Ph.D. or its equivalent in the mathematical sciences. All necessary expenses will be met by the NAS and the foreign academy; salary reimbursement up to a predetermined maximum and paid expenses for accompanying family on visits of five months or more. Application deadline is in November. For further information, write to the National Academy of Sciences, Commission on International Relations, USSR/EE, 2101 Constitution Avenue, Washington, D.C. 20418. National Research Council of Canada. Visiting Fellowships. These fellowships are tenable in the laboratories of the following government departments and agencies: Agriculture Canada; Department of Communications-Communications Research Centre; Department of Energy, Mines & Resources; Department of the Environment-Atmospheric Environment Service, Environmental Management Service, Fisheries and Marine Service; Health and Welfare Canada; National Museums of Canada Museum of Natural Sciences; Atomic Energy of Canada Limited; Air Pollution Controi; National Defence; National Research Council of Canada. The closing date for applications is January 15. Write to the Natural Sciences and Engineering Research Council Canada, Ottawa, Canada KIA OR6. National Science Foundation. Support for U.S. participation in seminars, research projects, and visiting scientist activities under bilateral programs with certain foreign countries. For brochure about these and other NSF international programs write: Division of International Programs, National Science Foundation, Washington, D.C. 20550. National Science Foundation. Summer travel grants for U.S. citizens who are advanced graduate students or within three years of the receipt of their Ph.D. to attend North Atlantic Treaty Organization (NATO) Advanced Study Institutes in Europe. Applications are made to the appropriate NATO Institute Director. Information may be obtained by writing to NATO Travel Awards, Division of Scientific Personnel Improvement, National Science Foundation, Washington, D.C. 20550. National Science Foundation. Scientists and Engineers in Economic Development (SEED) Program. Specially funded by the Agency for International Development, the program will provide support for qualified U.S. scientists and engineers to apply their experience to specific problems of development in forty-one countries. Stipends of up to $1,500 per month awarded with research/teaching grants. 597 International travel grants also available. Limited to U.S. scientists and engineers with at least five years of postdoctoral or equivalent experience in teaching or research and who will return to their institutions on completion of the project. Proposals must be submitted before December 1, 1978 or June I, 1979. Awards will be announced during April 1979 or October 1979. For more information, write to the Division of International Programs, National Science Foundation, Washington, D.C. 20550. North Atlantic Treaty Organization. The NATO Science Committee has a Research Grants Pro gramme which provides financial aid for research projects aimed at stimulating, encouraging and facilitating scientific research in collaboration between scientists working in different member countries of the Alliance, thus promoting the flow of ideas and of experimental and theoretical methods across frontiers. Projects are supported for a limited period usually not exceeding three years, covering mainly travel and living expenses abroad for principal investigators visiting partner laboratories or for staff members needing to acquire or provide expertise or special training in the partner laboratory(ies). Deadlines for applications are 15 January, 30 April and 15 September. The NATO Science Committee also makes a number of awards each year for training and education in fields in the systems science area.(!) Graduate Degree Apprenticeship in Systems Science. To enable beginning scientists to pursue graduate programmes leading to advanced degrees in fields in the systems science area (Systems Analysis, Operational Research, Management Science, Management Engineering, Systems Engineer ing, etc.) and also to obtain practical training in places where they will be exposed to real life problems. A normal grant is for three years, subject to satisfactory progress in each year, and is applicable to participating universities and institutions. Applicants should have first degree level of university education with very high scholastic achievement and a sound basic training in mathematics relevant to the systems field. The award is a yearly stipend to cover living expenses, tuition and other expenses, but not to exceed B.fr. 240,000 per year. (2) Study Visits. This programme is designed for scientists of NATO countries to make short visits to scientists and/or institutions in other NATO countries, with the objective of receiving expert advice in connection with a research project and a well-defined problem in the systems science area. (3) Visiting Experts. This programme is designed to help developing or newly formed systems science groups in NATO countries, which are active in fields in the systems science area and are in need of receiving advice or assistance from an expert in another country. It is applicable in cases where visiting scientists can make a substantial contribution to the work of the organization being visited. (4) Systems Science Prizes: The Systems Science Panel awards annual prizes for outstanding publications in systems science which have appeared in the preceding three-year period. Eligible publications must be proposed to the Scientific Affairs Division of NATO by editors or editorial boards of journals or by professional/scientific societies before 30 June of each year. Application forms and further details of these awards together with information about the Science Committee's other programmes can be obtained from: Scientific Affairs Division, NATO, 1110 Brussels, Belgium. North Atlantic Treaty Organization. Postdoctoral Fellowships. A warded for six- to twelve-month periods, for scientific study or work at appropriate nonprofit institutions in NATO countries, other than the U.S., or countries that cooperate with NATO. This program for citizens or nationals of the U.S. Fellows receive a stipend of $11,040 for twelve-month tenure, and dependency and travel allowances. Application deadline is early November. For information and application material, write to Division of Scientific Personnel Improvement, National Science Foundation, Washington, D.C. 20550. Organization of American States. See entry in section on Study in the U.S. for Foreign Nationals. The Rhodes Scholarships. For U.S. citizens; tenable at Oxford University. Selection is made on four criteria: scholarship, character, leadership, and physical vigor. Information is available through the applicant's college or university, or from The Rhodes Scholarship Office, Wesleyan University, Middletown, Connecticut 06457. Rotary Foundation. Graduate Fellowships and Undergraduate Scholarships. One academic year of study abroad for the 1980-1981 year is available to outstanding men and women who are interested in world affairs and who can fulfill a dual role of scholar and "ambassador of good will." Graduate fellowships and undergraduate scholarships cover full transportation, education, living, and miscellaneous expenses for one academic year, plus, in certain cases, a period of intensive language training in the study country prior to the commencement of the regular academic year. A wards are made for study in any field and are tenable in more than 151 countries in which there are Rotary Clubs. An applicant for a graduate fellowship must have obtained a bachelor's degree or equivalent prior to the beginning of his fellowship year. An applicant for an undergraduate scholarship must 598 have completed two years of university level work but not have obtained a bachelor's degree prior to the beginning of his scholarship year. Application must be made through the Rotary Club nearest to the applicant's permanent residence not later than March 1, 1979. Royal Norwegian Council for Scientific and Industrial Research. Postdoctorate Fellowships. Fields: engineering and applied sciences. Studies can be carried out at the Universities of Oslo and Bergen, the Technical University of Norway, and at different institutes for applied research in Oslo, Bergen, and Trondheim. English may be used at all institutes; German and French at some institutes. Deadline each year is December l. Write to Royal Norwegian Council for Scientific and Industrial Research, Gaustadelleen 30, Oslo, Norway. Social Science Research Council. International Doctoral Research Fellowship Program. The program provides support to advanced doctoral candidates at U.S. and Canadian universities for dissertation research in Africa; the Near and Middle East; East, South and Southeast Asia; Western Europe; Latin America, and the Caribbean. Full information on this program may be obtained by writing to the Social Science Research Council, Fellowships and Grants, 605 Third Avenue, New York, New York 10016. Solomon Lefschetz Research Instructorships. Offered to mathematicians with doctorates who show definite promise in research. Appointments are for one year, with possibility of renewal for a second year, with salary equivalent to that of an Assistant Professor at the Mathematics Department. An allowance for moving expenses is also made. A knowledge of Spanish is desirable, but not necessary. Deadline for applications is January 30. Inquiries or requests for applications should be addressed to: Lefschetz Instructorships, Mathematics Department, Centro de lnvestigacion del lPN, Apartado Postal 14-740, Mexico, D.F. Mexico. United States-India Exchange. Grants travel support to senior mathematicians of the United States for periods from two weeks to a few months, for work in India with Indian colleagues on projects of mutual interest. Applications should be submitted before March 15 for visits commencing after November 15 of the same year and September 15 for visits after May 15 of the following year. For information and application forms write to: U .S.-India Exchange of Scientists, Division of Internation al Programs, National Science Foundation, Washington, D.C. 20550. Weizmann Institute of Science. Feinberg Graduate School Postdoctoral Fellowships. The Fellowships provide a twelve-month stipend of approximately IL 113,000 per annum, a small relocation allowance and one-way economy class air fare. There is a possibility of renewal for a second year. The main areas of research are pure and applied mathematics; computer science and engineering; geophysics; and systems theory. Applications are considered twice a year, deadlines being November 15 and May 15. Application forms and additional information may be obtained from the Feinberg Graduate School, The Weizmann Institute of Science, Rehovot, Israel. STUDY IN THE U.S. FOR FOREIGN NATIONALS Many of the programs in the Graduate Support and Postgraduate Support sections are also applicable to Foreign Nationals. Alliance Fran~aise de New York. For French students, a limited number of scholarships for graduate study in the U.S. Fields unrestricted. Scholarships are in the amount of $1,500 to $3,000. Applicants must have a working knowledge of English. For further information, write to Commission Franco Americaine d'Echanges Universitaires et Culturels, 9, rue Chardin, Paris, 75016, France. American Association of University Women. International Fellowships. Approximately thirty-five awards made to women of countries other than the U.S. for advanced study. An applicant must hold the equivalent of a bachelor's degree, be proficient in English and intend to return to her own country to pursue her professional career. Forms may be obtained from the University Women's Association or Federation in the applicant's country or the Cultural Affairs Officer of the U.S. Embassy. (U.S. address, Educational Foundation Programs Office, AAUW Educational Foundation, 2401 Virginia Avenue, N.W., Washington, D.C. 20037.) Application deadline is December 1 for subsequent academic year. American-Scandinavian Foundation. Scandinavian scholars are awarded graduate fellowships to study in the U.S. For information write to the Exchange Division, The American-Scandinavian Foundation, 127 East 73rd Street, New York, New York 10021. 599 Fulbright-Hays Program. Grants under the Fulbright-Hays Act for study, research, teaching and lecturing in the United States are available to nationals of many countries. Information regarding these opportunities may be secured from the Cultural Affairs Officer of the United States Embassy or from the binational Educational Commission or Foundation if there is one in the inquirer's own country. (U.S. address: Council for International Exchange of Scholars, II Dupont Circle, Washing ton, D.C. 20036, for post-doctoral candidates; Study Abroad Programs Division, Institute International Education, 809 United ·Nations Plaza, New York, N.Y. 10017, for pre-doctoral candidates). The number of grants for each academic year will depend on funds available. Institute of International Education. Open to nationals of most countries. Develops and administers exchange programs for a number of organizations and corporations, and administers U.S. Government grants under the Fulbright-Hays Act under the educational exchange program of the International Communication Agency. For information contact the Selection Committee in the candidate's own country (address may be obtained from the United States Embassy or Consulate). Kennedy Scholarships. For citizens of the United Kingdom and Colonies, these grants are for graduate study at Harvard University or the Massachusetts Institute of Technology. Application deadline is October 18. Write to Secretary, Kennedy Memorial Trust, Association of Commonwealth Universities, 36 Gordon Square, London WCIH OPF, England. Kosciuszko Foundation. One-year grants to doctoral and postdoctoral students. Applicants must be Polish citizens and have excellent command of English. Apply by January 15 for the following academic year. Write to Scholarship and Exchange Programs, The Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021. Organization of American States (OAS). Fellowships are available to citizens or permanent residents of OAS member countries for advanced study or research in another member country. For information write to Chief, Trainee Selection Unit, Organization of American States, Washington, D.C. 20006, U.S.A. U.S.-India Exchange. Grants for Indian scientists invited to the U.S. by U.S. institutions. Information can be obtained from the Council of Scientific and Industrial Research (CSIR), New Delhi, India. SOURCES OF FELLOWSHIP INFORMATION Many of the publications listed below are probably available at school, or college and university libraries, or in the Reference Room of a good public library. Annual Directory of Engineering College Research and Graduate Study. American Society of Engineer ing Education,, One Dupont Circle, N.W., Suite 400, Washington, D.C. 20036. Annual Register of Grant Support 1978-1979. Academic Media, Marquis Who's Who, Inc., Chicago, Illinois 60611. Comprehensive directory of fellowships, grant support programs of government agencies, foundations, and business and professional organizations. Annual. Basic Facts on Foreign Study. A fact sheet on what to expect on a study-abroad program and where to find pertinent information; 1976, 4 pp., single copies free. Institute of International Education, 809 United Nations Plaza, New York, New York 10017. Council on International Educational Exchange. Opportunities for travel and study abroad for undergraduate and graduate students, including language programs at Leningrad State University. Write to the Council on International Educational Exchange, 777 United Nations Plaza, New York, New York 10017. Directory of Financial Aid in Higher Education-Africa, available from the African Studies Association, 218 Shiffman Center, Brandeis University, Waltham, Massachusetts 02154, U.S.A. $14.00 prepaid. The Directory of Special Programs for Minority Group Members. Career Information Services, Employment Skills Banks, Financial Aid Sources (2nd Edition, 1975), Garrett Park Press, Garrett Park, Maryland 20766. $9.75. The Foundation Center, 888 Seventh Avenue, New York, New York 10019, publishes information about U.S. foundations, the grants they give and to whom they are awarded. 600 The Foundation Directory. Edition 6 (1977), published by the Foundation Center, is distributed by Columbia University Press, 136 South Broadway, Irvington-on-Hudson, New York 10533. The Directory provides information about U.S. Foundations, with the fields of interest in which they make grants, and grant application information. Fulbright-Hays Program. Information on grants for teaching in Elementary and Secondary Schools, and for Summer Seminars, may be obtained from the International Exchange Branch, Division of International Education, U.S. Office of Education, Department of Health, Education and Welfare, Washington, D.C. 20202. Information on grants for Foreign Language Training and Area Studies may be obtained from the International Studies Branch, Division of International Education, U.S. Office of Education, Department of Health, Education, and Welfare, Washington, D.C. 20202. Fulbright-Hays Opportunities Abroad-University Teaching, Advanced Research (Current Edition) is available from the Council for International Exchange of Scholars, Eleven Dupont Circle, N.W., Washington, D.C. 20036. Graduate and Professional School Opportunities for Minority Students (1975-1977). Educational Testing Service, P. 0. Box 2606, Princeton, New Jersey 08540. $3. Available in public libraries. 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Publications Office, National Science Foundation, 1800 G Street, N.W., Washington, D.C. 20550. Contains a list of financial aid sources plus a bibliography listing other sources of financial aid information. Student Aid Manual. 1977-1978, $12.00 cash with order or formal purchase order. Chronicle Guidance Publications, Inc., Moravia, New York 13118. Lists noncollegiate sources of financial aid and AFL-CIO affiliated labor unions, federal and state governments for undergraduate, graduate, and postgraduate study. Updated annually. Study Abroad. $7.50. Write UNESCO, UNIPUB, 345 Park Avenue South, New York, New York 10010; in Europe, Place de Fontenoy, Paris 7~ France. Volume 22 will be available early in 1979. Summer Study Abroad. Gail A. Cohen, (ed.). A guide to over 700 summer-study programs around the world. Lists programs sponsored by U.S. colleges and universities and those sponsored by foreign institutions and private organizations. Contains information on courses, costs, scholarships, and accommodations. 1978. 166 pp. Annual. $5.00 (1979 edition available in February). Institute of International Education, 809 United Nations Plaza, New York, New York 10017. U.S. College-Sponsored Programs Abroad: Academic Year. Gail A. Cohen, (ed.). Describes over 700 study-abroad programs, both undergraduate and graduate, conducted during the academic year by U.S. colleges and universities in countries around the world. Information on courses, costs, credits, housing, scholarships, and language of instruction. 1978. 174 pp. Annual. $5.00 (1979 edition available in March). Institute of International Education, 809 United Nations Plaza, New York, New York 10017. AMS TRANSLATIONS-SERIES 2 NINE PAPERS ON ANALYSIS A. D. Ljasko and M. M. Karcevskir, Study of dijfrrence schemes for nonlinear equations by a variational method Petr Mandl, Foundations of multistage system opti D. E. Men'Sov, On limits of indeterminacy of partial mization sums of universal trigonometric series I. M. Gel'fand, V: S. Gurfinkel' and M. L Cetlin, On D. E. Men'Sov, On limit functions of trigonometric control tactics for complex systems and their relation series to physiology. D. E. Men'Sov, Universal sequences of functions I. C. Gohberg and N. Ja. Krupnik, On the quotient norm Volume Ill of singular integral operators 224 pages I. C. Gohberg and N. Ja. Krupnik, On composite linear List price $26.00; member price $19.50 singular integral operators ISBN 0-8218-3061-9; LC 78-5442 V. M. Adamjan, D. Z. Arov and M.G. Krern, Infinite Publication date: August 31, 1978 Hankel block matrices and related extension problems To order, please specify TRANS2/lll Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, RI 02901 602 INDEX OF ABSTRACTS Volume 25 (1978) ABATZOGLOU, Theagenis. Smooth points in the unit ball ALEXANDER, Herbert, Extremal length in several com of B(H), A-243; Applications of curvature to the study of plex variables. Preliminary report, A-87. metric projections, A-375; Unique best approximation from ALEXANDER, Kenneth, Convergence of sums of inde a c2-manlfold in Hilbert space, A-700. pendent random variables Indexed by finite type filtering ABIAN, Alexander. Free p-rings and the two countable sets, A-605. chain conditions, A-42; A fixed-point theorem of image ALINHAC, S. and BAOUENDI, M, S. Uniqueness results intersecting mappings, A-230; A fixed-point theorem of for the characteristic Cauchy problem and strong unique image-Intersecting mappings (revised), A-483; Forcing continuation for higher order P.D. E. •s. Preliminary re via compatibility, A-603; Zero-Product-Associative rings port, A-526. without nonzero nilpotent elements, A-697. ALLAN, Robert B. and LASKAR, Renu. On the domatic ABIAN, Alexander and KRAMER, Richard. A simple proof number of a graph and the domination number of its com of the subgroup theorem for free groups, A-228. plement, A-2; On domination and independent domination ABLOWITZ, Mark J. Nonlinear evolution equations and numbers of a graph, A-37; On the do~atic number of a Painleve transceildents, A-637. graph and the domination number of its complement, A-37; ABRAHAMSE, M. B. The spectrum of a Toeplitz operator On domination and irredundance numbers of a graph, with a multiplicatively periodic symbol, A-124. A-227. ABRAMOVIC, Ju. A. On the one property of the Lorentz's ALLAN, Robert B., LASKAR, Renu and HEDETNIEMI, seminorm. Preliminary report, A-588; On the semi M Stephen. Some results on the total domination number of spaces 'Of de Jonge. Preliminary report, A-698, a graph, A-423. ABU-MUHANNA, Y. and MAC GREGOR, T. H. Extreme ALLEN, G. D. and WARD, J. D. A simultaneous lifting points of quadrant preserving mappings. Preliminary re theorem for block diagonal operators. Preliminary report, port, A-636; Extreme points and convex mappings. Preli A-431, minary report, A-662. ALLEN, G. D., WARD, J. D. and LEGG, D. A. Hermi ACCOLA, Robert D. M. On Castelnuovo's inequality for tian liftings in Orlicz sequence spaces. Preliminary re algebraic curves. Preliminary report, A-589. port, A-587. ACKER, Andrew F. An isoperlmetric inequality Involving ALPERIN, J. L. A survey of block theory from the point heat flow under linear radiations conditions, A-234; A free of view of representations of algebras, A-75. boundary optimization problem. II. Preliminary report, ALSPACH, Dale E. C(S) norming subsets of C[0,1]*, A-353; A-463; An area-preserving domain perturbation A-281. which dimishes capacity. Preliminary report, A-592; An ALTSHULER, Z. On the distance between n-dimensional area-preserving domain perturbation which increases tor symmetric spaces. Preliminary report, A-282. sional rigidity. Preliminary report, A-699. ALTSHULER, Z., ODELL, E. and STERNFELD, Y. ACZEL, J. A mixed theory of information II: Additive in A fixed point theorem in c0, A-294. set entropies with measurable sum property, A-12; Gen ALVES, Maurlso. A coefficient problem for bounded eral solution of an inequality containing several unknown nonvanishing univalent functions. Preliminary report, functions, with applications to the generalized problem of A-243. "how to keep the (inset) expert honest", A-435, AMANN, Herbert and CRANDALL, Michael G. On some ACZEL, J. and DAR6CZY, Z. A mixed theory of informa existence theorems for semi-linear elliptic equations, tion 1: Recursive, symmetric and measurable entropies of A-528, randomized systems of events, A-11. AMAYO, Ralph and SCHWARZ, Jochen. Modularity in Lie ACZEL, J. and KANNAPPAN, Pl. A mixed theory of infor algebras, A-712. mation Til: Inset entropies of degree {j, A-245. ANACKER, Steven E. Reducible partitions. Preliminary ADAMS, M. E. and BICHLER, J. Homomorphisms of report, A-29, bounded lattices, A-43. ANANTHARAMAN, R. On a theorem of Nlkodym on vec ADAMS, R. A, General logarithmic Sobolev inequalities tor-valued measures, A-80. and Orlicz imbeddings, A-431. ---. See MURDESHWAR, M. G. ADENIRAN, T. M, Sell-complementary graphs, Preli ANDERSON, Bruce A., GROSS, Kenneth B. and LEONARD, minary report, A-499; Further characterizations of E1. Philip A. Some Howell designs of prime side. Prelimi Preliminary report, A-538, nary report, A-275. ADLER, Allen and TRETKOFF, Marvin. A cellular de ANDERSON, David F. The divisor class group of rings composition of the Fermat surface. Preliminary report, generated by monomials, A-348, A-516. ANDERSON, James A. Neurophysiology, neuroanatomy AGLER, Jim. Geometric and topological properties of the and neural models. Preliminary report, A-552. numerical range, A-355; Invariant subspaces for operators ANDERSON, Mary, Analytic continuation of the princi whose spectrum is a spectral set, A-587. pal series. I. S0(1,n), A-500; A simple expression of the AHMAD, z. U. and PARASHAR, Vinod K. On I.R,plk Casimir operator on a Lie group G, A-606, and IAik summability methods, A-238, ANDERSON, Robert M. Edgeworth's conjecture, A-550. AKBALUT, S, See KING, Henry C. ANDRADE, Jose F. Regular sequences of minors. Pre AKCOGLU, M. A, See DEL JUNCO, A. liminary report, A-5. AL-AMffil, Hassoon s. New classes of close-to-convex ANDREW, A. L., MORRIS, Sidney A,, STACEY, P. J. functions, A-82; On prestarlike functions. Preliminary re and PROTOMASTRO, Gerard P. On the equality of the port, A-658, mixed partial derivatives, A-172. ALAS, 0, T. Normal and function spaces, Preliminary ANDREW, Alfred D. · Subsequences of the Haar systems report, A-452; Density and Sobolev spaces. Preliminary In C (A), A-281. report, A-585. ANDREWS, Kevin T. The Dunford-Pettis property for ALBIS-GONZALEZ, V. and MARKANDA, R. K, On the L1(1£,X), A-590. euclideaness of arithmetic principal orders. Preliminary ANDREWS, Peter and ARKOWITZ, Martin, The Baues report, A-3. Lemaire conjecture in rational homotopy theory. Preli ALEX, Leo J, and MORROW, Dean C, Simple groups minary report, A-142. with a Sylow normalizer of order 3p, A-70. ANDRUS, Gary F. Approximation of generalized random ALEXANDER, Charles C, See KINNEY, James. functions, A-106, A-737 ANDRUS, Gary F. and NISHIURA, Togo. Fixed-points AZPEITIA, Alfonso G. On the lower type of entire func of random set-valued maps, A-154. tions defined by Dirichlet series, A-9; On the growth of ANELLIS, Irving H. An inconsistency in Peano Arithme entire functions defined by Dirichlet series, A-83. tic (PA), demonstrated by a relative consistency proof AZZAM, Ali H. On the Dirichlet problem for regions using Presburger arithmetic (P*A). Preliminary report, with corners. Preliminary report, A-236; On the Dirichlet A-666; A second-order functional calculus C(ST). Pre problem for regions with corners. II. Preliminary report, liminary report, A-715. A-593. ANTMAN, Stuarts. Nonlinear versions of classical lin BABBITT, D. G. and THOMAS, L. The Heisenberg chain ear problems, A-546. and N-_particle exclusion processes, A-620. ANTONIUS, Rachad. On the rigidity of cabled grids of BABUSKA, Ivo. The p and h concept of the finite ele parallelograms. Preliminary report, A-643. ment methods. Preliminary report, A-383. ANTOSIEWICZ, H. A. A unified approach to the solution ---. See OSBORN, John E. of boundary value problems, A-398. BACHMAN, George. Some applications of functional APOSTOL, Constantin, FOIAS, Ciprian and PEARCY, analysis to topological measure theory, A-532. Carl. Quasi-affine transforms of operators, A-432. BACOPOULOS, Alexis. A Remes-type algorithm for APPLING, William D. L. Continuity and density, A-243; computing with a singularity, A-318. An integrability preservation characterization theorem, BAERNSTEIN, Albert, II. Recent results in Nevanlinna A-489. theory. Preliminary report, A-632. ARAUJO, Aloisio and GINE, Evarist. Tightness of sums BAILDON, John D. A counterexample to a "theorem" on and tightness of their exponentials, A-368. Ln sets, A-537. ARBIB, M. A. and MANES, E. G. Functorial iteration. BAILDON, John D. and SILVERMAN, Ruth. Some combi Preliminary report, A-381. 1 natorial properties of Helly-type sets. Preliminary report, ARGYROS, S. Isomorphic embedding of .tm into m-di A-325. mensional subspaces of C(ll): the regular cardinal case, BAILEY, Paul B. The problem of thermal instability of A-234; On some isomorphic embeddings of .tm and Zm, explosive materials, A-165. A-588. BAILLON, J. B. Some topics of nonlinear ergodic theory ARGYROS, S. and TSARPALIAS, A. Calibers of compact in IP-spaces (1 > p >OO ), A-310. spaces, A-234; Isomorphic embedding of .tl{f) into sub BAIRD, Bridget. Inverse semigroups of homeomorphisms spaces of C(ll). III, A-588. are hopfian. Preliminary report, A-72. ARKIN, Joseph. The first solutions of six magic horizon BAKER, Garth. See BRAMBLE, James H. tal planes in a 6 X 6 X 6 cube, A-305; A unicursal problem BAKER, John M. A note on compact operators which at of r salesmen, A-508. tain their norm. Preliminary report, A-122. ARKOWITZ, Martin. See ANDREWS, Peter. BAKER, Kirby A. Locally finite group varieties with de ARLINGHAUS, William C. Minimal graphs with group finable principal congruences, A-220. z(pi) x z(pl). Preliminary report, A-275. BAKKE, Vernon. Optimal control problems with multiple ARNOLD, David, HUNTER, Roger and RICHMAN, Fred. delays. Preliminary report, A-131. A global Azumaya theorem, A-304. BAKKER, William C. A method of iteration for solving ARNOLD, James E. A generalized Cartan isomorphism ordinary differential equations with advanced and retarded for the Grothendieck group of a finite group, A-67. arguments, A-90. ., ARTHUR, James. Automorphic forms and the trace for BALCAR, Bohuslav and FRANEK, Frantisek. Completion mula, A-514. of factor Boolean algehras, A-600. ARTZ, Ray E. An axiomatic foundation for finite-dimen BALCAR, Bohuslav and VOJTAS, Peter. Almost disjoint sional quantum theory, A-548. refinement for ultrafilters on N, A-706. ASH, Chris. The lattices of ideals of semigroups and in BALDWIN, John T. Some applications of model theory verse semigroups, A-484. to universal algebra, A-504. ASH, Chris J. and ROSENTHAL, John W. Some theories BALL, Richard N • .t-convergence and .t-Cauchy struc associated with algebraically closed fields. Preliminary tures on lattice ordered groups. Preliminary report, report, A-601. A-44. ASH, J. M. and JONES, R. L. A generalized mean value BANCHOFF, Thomas, GAFFNEY, Terence and McCRORY, theorem. Preliminary report, A-632. Clint. Cusps of Gauss mapping. Preliminary report, ASIMOV, Daniel. On the average Gaussian curvature of A-134. leaves of foliations, A-134. BANG, Chang M. Valuation and height function of count ASIMOW, L. A. Complemented cones in dual Banach lat able p-groups, A-75. tices, A-638. BANGE, David W., BARKAUSKAS, Anthony E. and ASKEY, Richard. Specific orthogonal polynomials, old SLATER, Peter J. Characterizing trees with two dis and new, A-282; Positivity of some Cotes numbers, A-529. joint minimum independent dominating sets, A-421. ASMUTH, Charles A. Tensor products of superouspidal BANK, Randolph E. Multi-level iterative methods for representations of p-adic special linear groups. Prelimi finite element equations. Preliminary report, A-379 nary report, A-278. BANKS, H. T. Control problems in the biological sci ASSAD!, Amir H. Actions of finite groups on !-connected ences, A-406. complexes and manifolds. Preliminary report, A-647. BANKSTON, Paul. On elementary categories, A-14; ASSMUS, E. F., Jr. and SALWACH, Chester J. Biplanes More on elementary categories. Preliminary report, with k = 6 and the (16,11) extended Hamming code, A-35. A-571. ATALLA, Robert E. Generalized almost convergence vs. BANKSTON, Paul and McGOVERN, Richard J. Topologi matrix summability, A-489. cal partitions. Preliminary report, A-446. A ULL, C. E. On the early history of general topology, BANYAGA, Augustin. On the groups of diffeomorphisms A-22; a-embedding in functionally normal spaces. Preli preserving a symplectic form or a volume form up to a minary report, A-539. constant number, A-649. AUSLANDER, Maurice. Representation theory of Artin BAOUENDI, M.S. See ALINHAC, S. algebras, A-65. BARAS, Johns. Invariants for a class of linear distrib AWAD, Adnan M. Martingale conditional central limit uted parameter systems. Preliminary report:l A-664. theorems. Preliminary report, A-707. BARBACK, Joseph. On the relation 2ab ~ a + b2 for AXLER, Sheldon, CHANG, Sun-Yung A. and SARASON, regressive !sols, A-504. Donald. Products of Toeplitz operators. Ill, A-283. BARDWELL, Maureen A. Lattice-ordered groups of or AZARNIA, Nazanin. On the dense operators in a KH der automorphisms of partially ordered sets, A-40. module. Preliminary report, A-127. BARKAUSKAS, Anthony E. See BANGE, David W. AZARNIA, Nozar. The extrapolation of Galerkln methods BARNARD, Roger W. On Robinson's 1/2 conjecture, for parabolic equations. Preliminary report, A-162. A-85; Applications of convolution operators to problems AZOFF, Edward and EDWARDS, David. A von Neumann in univalent function theory A-661. algehra is determined by its logic of projections, A-124. BARNES, Bruce A. The LLalgebra of a group with poly nomial growth, A-454. A-738 BARRIA, Jose. Thecommutativeproduct v1*V2=V2V 1 * Cardinal inequalities for topological spaces lnvol ving the for isometries V1 and V2, A-535. weak Lindeltlf number, A-366. BARROS-NETO, J. An asymptotic expansion for analytic BELL, Wayne c. Hellinger integrals and set function de symbols. Preliminary report, A-640. rivatives, A-242; Atomic and nonatomic finitely additive BARROW, D. L. and SMITH, P. W. Efficient L2 approxi measures, A-355. mation by splines, A-530. BELL, Wayne C. and KEISLER, Michael. A characteri BART, Harm. See GOLDBERG, Seymour. zation of the representable Lebesgue decomposition pro BARTH, Karl F. and BRANNAN, David A. The growth of jections, A-427. plane harmonic functions on asymptotic paths. n, A-85. BELL, Wayne C., BILYElJ, Russell G. and LEWIS, Paul BARTH, Karl F. and CLUNIE, J. Level curves of func W. Uniform absolute continuity In Banach lattices, A-378. tions of bounded characteristic, A-630. BELLENOT, Steven F. Conditional basic sequences in BARWISE, Jon. An application of recursion theory in Frechet spaces. Preliminary report, A-120; An anti- abstract model theory, A-385. open mapping theorem for Frechet spaces, A-533. BASENSHPILER, Larry I. A characterization of lattices BELLER, Eliyahu and PINCHUK, Bernard. A minimum of graphs, A-580; On the reconstruction of trees, A-694. H2 norm problem In the Carathedory class. Preliminary BASHKffiOV, A. I. On continuous maps and maximal com report, A-232. pactifications of Isbell spaces, A-708. BELLEY, Jean-Marc and MORALES, Pedro. A generali BASS, Charles D. Shrinking cell-like decompositions of zation of Wiener• s criteria for the continuity of a Borel factored continua in Euclidean n-space. Preliminary re measure, A-521. port, A-610; A-708. BELLMAN, Richard E. Some generalizations of Marko BASS, Hyman. Groups of integral representation type, vian decision processes. Preliminary report, A-10; Dif A-60. ferential geometry and dynamic programming. Preliminary BASU, Uma. See DEBNATH, Lokenath. report, A-230. BATES, Peter W. Existence and uniqueness of the periodic BELNA, C. L., EVANS, M. J. and HUMKE, P.D. Sym solution to a nonlinear wave equation with boundary condi metric and ordinary differentiation. Preliminary report, tions, A-21; Hilbert space methods for nonlinear systems A-79; The symmetric differential equation fB = 0. Pre of differential equations, A-95. liminary report, A-634. BAUER, Douglas. Line graphical degree sequences. BENARD, Mark. Schur indices of sporadic simple groups, Preliminary report, A-579. A-371. BAUMGARTNER, James E. Independence results in set BENNETT, Beth. See WITTEN, Matthew. theory. Preliminary report, A-248. BENNETT, F. E. and MENDELSOHN, N. S. Pure cyclic BEARD, Jacob T. B., Jr. and HARBIN, Mickie Sue. Non triple systems, A-223. splitting unitary perfect polynomials when -1 is not a BENNETT, H. R. and LUTZER, D. J. Metrizability of square. Preliminary report, A-652. certain ordered spaces, A-136. BEARD, Jacob T. B., Jr. and McCONNEL, Robert M. BENZAKEN, Claude. Critical hypergraphs for the weak Matrix field extensions, A-51. chromatic number, A-348. BEATROUS, Frank. Holomorphic approximation In weakly BENZAKEN, Claude and FOLDES, S. Graph recognition pseudoconvex domains. Preliminary report, A-523. and embeddability algorithms, A-437. BECHTELL, Homer. On nonnilpotent inseparable groups BERENSTEIN, Carlos A. and TAYLOR, B. Alan. An of order paqfl, A-69; Splitting systems for finite solvable extension of Ehrenpreis' fundamental principle, A-395; groups, A-273. Interpolation by entire functions of exponential type. BECKER, Joseph. Topological and differential properties Preliminary report, A-522; Mean-periodic functions, of complex analytic curves, A-273. A-641. BECKER, Joseph A. and ZAME, William R. Applications BERGER, Alan E. See BREZIS, Haim. of functional analysis to the solution of power series equa BERGER, Charles A. and COBURN, Lewis A. Fredholm tions, A-86. theory for the algebra of Toeplitz operators on H2(Un), BECKER, Joseph, HENSON, C. Ward and RUBEL, Lee A. A-312. First-order conformal invariants. I, A-360; First-order BERGER, Mel s. The confinement problem for solenoidal conformal invariants. n, A-440. vector fields, A-527. B:tcus, Georges A. Successive approximation solutions BERGMAN, George M. Conjugates and nth roots In of a class of random equations, A-151. Mal•cev-Neumann sflelds, A-484; Support structures and BEDFORD, Eric and BURNS, Daniel M., Jr. Holomorphic lower segments of partially ordered sets, A-572. mappings of annuli In .:n and the related extremal func BERKEY, Dennis D. and FREEDMAN, Marvin I. A per tion, A-87. turbation method for systems from control with multiple BEDFORD, Eric and FORNAESS, John Erik. A counter switch points, A-130. example to regularity for the complex Mange-Ampere equa BERLINE, Chantal. Commutative subgroups of linear tion, A-523. groups over local rings. Preliminary report, A-250. BED!, Surinder Singh and RAM, Jai. Group rings over BERMAN, David. The number of generators of a colength semisimple rings, A-425. N ideal in a power series ring, A-56. BEEM, John K. and EHRLICH, Paul E. The space-time BERMAN, F. Expressiveness hierarcy for PDL with distance function and singularities. Preliminary report, rich tests. Preliminary report, A-435. A-132. BERMAN, Joel. Amalgamating subdirectly irreducible BEEM, R. P. See PELTIER, C. F. lattices in N, A-580. BEER, Gerald. Recession cones of nonconvex sets and BERMAN, Lawrence. Nonreal fields with finite square increasing functions, A-537. class group and nontrivial Kaplansky radical. Preliminary BEG, Afzal. See SINGH, Surjeet. report, A-420. BEIDLEMAN, James C. and BREWSTER, Ben C. Strict BERMOND, Jean-Claude, GERMA, Anne and HEYDEMANN, normality in Fitting classes. n, A-262; Strict normality Marie-Claude. Hamiltonian cycles in strong products of in Fitting classes. I, A-272. graphs, A-572. BELDING, Russell. Path connected posets, A-41. BERNAU, Simon J. A unified approach to the principle of BELEGRADEK, 0. V. Another algebraic characterization local reflexivity, A-285. of classes of groups with solvable triviality problems, BERNDT, Bruce C. and EVANS, Ronald J. Gauss and A-248; An example of a stable but not superstable group of Jacobsthal sums over GF(p2), A-46. bounded exponent, A-360. BERNFELD, S. R. and LAKSHMIKANTHAM, V. Mono BELL, Murray. A first countable supercompact Hausdorff tone methods for nonlinear boundary value problems in space with a closed Gt'l nonsupercompact subspace, A-255; Banach spaces. Preliminary report, A-95. A normal first countaole c. c. c. nonseparable space, A-499. BERNSTEIN, Larry H. See TURNER, John C. BELL, Murray and GINSBURG, John. First countable BERSTEIN, Israel and EDMONDS, Allan L. Classification Lindeltlf extensions of uncountable discrete spaces and of surface maps modulo self-equivalences. Preliminary first countable weakly Llndeltlf spaces, A-255. report, A-259. BELL, Murray, GINSBURP, John and WOODS, Grant. BERTHOLF, Dennis and WALLS, Gary. Finite slightly A-739 injective groups, A-71. BLUMENTHAL, Robert. Transversely homogeneous fo BERTMAN, Martha 0, and JUNGCK, John R. Some un liations, Preliminary report, A-325, resolved mathematical problems in genetic coding, A-174. BOGART, Kenneth P, Eulerian posets and Reed Muller BETH, Thomas, Trees of British number systems are codes, A-509, graceful, Preliminary report,A-577. BOGART, Kenneth P, and GORDON, Jean. Characteris BETOUNES, David, Function spaces with trivial duals. tic and pseudocharacteristic polynomials of permutation Preliminary report, A-117. representations of groups, A-39. BETTIS, Dale G. Explicit embedded Runge-Kutta algo BOGDAN, V, M. and MAYNE, D. C. Pointwise ergodic rithms, Preliminary report, A-402, theorem for Lebesgue locally convex function lattices, BEYER, W. A. Higher moments for a conditioned gamb A-309, ler's ruin problem, A-543, BOJANOV, Borislav D. Existence of extended monosplines BHARATI, R. Some radius of convexity problems. Pre of least deviation with constraints on the knots, A-235. liminary report, A-241. BOLlS, Theodore s. Classification of degenerate critical BHARUCHA-REID, A. T. A survey of methods for solv points, A-79. ing random equations, A-152, BOLKER, Ethan D, Cabling grids, Preliminary report, ---. See CHANDRASEKHARAN, P. S. A-643, BHASKARAN, R. The structure of ideals in the Banach BOMBIERI, Enrico. Bounds for Weyl sums. Preliminary algebra of Lipschitz functions over valued fields, Preli report, A-329, minary report, A-430; Function algebras over valued BONA, J. L., BOSE, D.K. and TURNER, R. E. L. fields. Preliminary report, A-591. A global theory of steady waves In continuously stratified BHASKARAN, R. and NATARAJAN, P.N. Nonarchime fluids, A-527. dean Lipschitz spaces. Preliminary report, A-239, BONA, J. L,, PRITCHARD, W, G. and SCOTT, L. R. BILLERA, Louis J. Economic market games, A-672, Numerical solution of the equation ut + ux + u~ - ~t = ---. See PRO VAN, J, Scott. O, A-382, BILYEU, Russell G. See BELL, Wayne C. BOONE, James R. Pseudo-open functions are monoj;onlc BILYEU, Russell G. and LEWIS, Paul W. Uniform dif decreasing for ordinal and cardinal invariants, A-18. ferentiability, uniform absolute continuity, and the Vitali BORGES, Carlos R. Extension properties of CW-com Hahn-Saks theorem, A-117. plexes: answer to a question of 0. Hanner, A-17, BINDSCHADLER, David E. !nvariant solutions of lowest BOROSH, I. and CHUI, C. K. Characterization of func dimension to the oriented Plateau problem, A-536; In tions by their Gauss-Chebyshev quadratures. Preliminary variance and nonlnvariance of area minimizing currents report, A-530, under finite group actions, A-630. BORWEIN, Peter B. Inverse theorems for restricted ra BffiJUKOV, P. A. On a certain class of Abelian torsion tional approximations, Preliminary report, A-231, groups. Preliminary report, A-418, BOSE, D. K, See BONA, J. L. BffiKENMEIER, G. F. Indecomposable decompositions BOTT, Raoul. Recent developments In the Yang-Mills and the minimal direct summand containing the nilpotents, theory, A-548, A-59. BOUTET DE MONVEL, Louis, Toeplitz operators of BffiKHOFF, G. and J6NSSON, B, Binary relation alge several complex variables, A-314, bras. Preliminary report, A-613, BOXER, Laurence, Retraction spaces and the homotopy BffiMAN, Joan S. Mapping class groups of surfaces, metric, A-648, A-147. BOYCE, William E. Applications of the Liouville equa BIVENS, Irl C. Integral formulas and an application. tion. Preliminary report, A-154. Preliminary report, A-496, BRAMBLE, James H. and BAKER, Garth, Single step BIX, Robert. Octonion planes over local rings. Preli fully discrete approximations for second order hyperbolic minary report, A-576. initial-boundary value problems, A-405, BIXBY, Robert E. and CUNNINGHAM, William H. Con BRAMSON, Maury D. Minimal displacement of branching verting linear programs to network problems, A-510, random walk, A-252. BJORNER, Anders. Shellable posets. Preliminary report, BRAMSON, Maury D. and GRIFFEATH, David, Cluster A-277. ing and dispersion rates for some interacting particle BLAm, Charles E. Disjunctive constraints and sequences systems on Z, A-542, of cutting-planes, A-704. BRANDAL, Willy, Commutative rings whose finitely BLAffi, Charles E. and JEROSLOW, R. G. Linear con generated modules decompose, A-54, straints on Lagrange multipliers. Preliminary report, BRANDENBURG, Harald. Two characterizations of A-435; Convex constraints on Lagrange multipliers, A-597. developable spaces, Preliminary report, A-449, BLAm, Janet D. An example of a manifold group. Preli BRANNAN, David A. See BARTH, Karl F. minary report, A-42, BRAUDE, Eric John, Rings of cocontinuous functions BLAKE, Louis H. Equiconvergence and the entropy of a F:R~x. Preliminary report, A-325. transformation, A-150; Semi-martingales in the limit, BRAYTON, R. K, llli.d TONG, C. H. Stability of dynami A-542, cal systems: A constructive approach, A-13. BLANCHARD, Paul R. C-stable isotopies. Preliminary BRENNAN, Michael D. Semimartingale integrals, A-625, report, A-609, BRENNER, J, L, and CHARNOW, A, Free semigroups BLAND, Robert G. Linear programming in oriented ma of 2 X 2 matrices, A-391, troids, Preliminary report, A-550, BRESSOUD, David M. The generating function for Gor BLOCH, Spencer J. On the geometry of algebraic cycles, don's identity, A-46, A-514; Torsion algebraic cycles, A-517. BREWER, Dennis W. A nonlinear contraction semigroup BLOCK, Louis. Homocllnic points of mappings of the in for a functional differential equation. Preliminary report, terval, A-137; Simple periodic orbits of mappings of the A-104, interval. Preliminary report, A-716, BREWSTER, Ben C. See BEIDLEMAN, James C. BLOK, W. J. The covering relation In the lattices of BREZIN, Jonathan, Nilmanifolds In algebraic number varieties of modal and temporal algebras. Preliminary theory, Preliminary report, A-50. report, A-220; Varieties of modal algebras. Preliminary BREZIS, Haim, ROGERS, Joel C, W. and BERGER, report, A-572, Alan E. A numerical method motivated by nonlinear BLOOM, Frederick, Bounds for solutions to a class of semigroups for solving the generalized Stefan problem damped integrodifferential equations In Hilbert space with· Ut- ~f(u) = o. Preliminary report, A-381. applications to the theory of nonconducting material di BRIGHT '1 Alison C, and TODD, Christopher. On the inte electrics, A-113; On the asymptotic behavior of solutions ger (~- -1)/p, A-580. to damped wave equations in Hilbert space, A-309. BRIN, Matthew G, Improving compactifications of open BLOOM, John R. On the Invariants of some Z,t-extensions, 3-manifolds that yield 3-manifolds, A-255, Preliminary report, A-51, BRITO, Francisco, The divisor class group of some rings BLOOM, Thomas. C00 peak functions, A-522, of real analytic functions, A-237. BLUM, J. R. Ergodic sequences and p-sets, A-625, BRIZOLIS, Demetrios. A divisibll!ty property of ideals A-740 in rings of integral-valued polynomials, A-52, BUONI, John J. and WADHWA, Bhushan L, On joints nu BROCKETT, Patrick L. Approximating moment sequences merical ranges, A-311. to obtain consistent estimates ofdistributionfunctions, A-159, BURCH, B, C, and GOLDSTEIN, Jerome A. A nonlinear ---. See HAALAND, Perry. heat equation, Preliminary report, A-103, BROCKETT, Patrick L., HUDSON, W. N. and TUCKER, BURCHARD, H. G. Least total variation, A-378, H. G. The distribution of the likelihood ratio for additive BURKE, Dennis K. Preservation of a primitive base processes, A-149, under a perfect mapping. Preliminary report, A-448; BROCKETT, Roger W. Nonlinear systems and differential Quasi-developable spaces and perfect mappings. Preli geometry, A-407; Nonlinear spectral factorizations. Pre minary report, A-501. liminary report, A-553; Mathematical aspects of control BURKHART, Richard H. A rigorous development of theory, A-664. Feynman•s path integral and perturbation expansion, Pre BROOK, Cecilia H. The universal measure and the dual liminary report, A-166, of the space of measures, Preliminary report, A-121, BURKHOLDER, D. L. Boundary value estimation of the BROOKS, James K. and DINCULEANU, Nicolae, Weak range of an analytic function, A-286, compactness in the space of Pettis-integrable functions • BURNS, Daniel M., Jr. See BEDFORD, Eric. Preliminary report, A-114. BURNS, J. A. and CLIFF, E, M, Some numerical pro BROOKSHEAR, J. Glenn, Knratowski closure operators cedures for estimating parameters in hereditary dynami without the expansive axiom, A-136. cal models, A-55a. BROWN, Donald J, Myopic economic agents, A-549, BURR, Stefan A, and DUKE, Richard A. Ramsey num BROWN, Edward M, and MESSER, .Robert, The classifi bers involving tree-like hypergraphs, A-31, cation of two-dimensional manifolds, Preliminary report, BURR, Steban A, , ERDOS, P. , FAUDREE, R. J. , A-145, ROUSSEAU, C, C, and SCHELP, R. H. Ramsey mini BROWN, Gavin and HEWITT, Edwin. Continuous singu mal graphs for multiple copies, A-36. lar measures on T with small transforms, A-460, BURRIS, Stanley and LAWRENCE, John, De.fmable BROWN, James Ward. On multivariable Sheffer sequences. principal congruences in varieties of groups and rings, Preliminary report, A-233; On multlvariable Sheffer se A-420. quences, II. Preliminary report, A-429, BUTLER, G. J. OscUlation theorems for y" + pf(y) = 0, BROWN, Lawrence G, Topics related to extensions of A-93, C*-algebras, Preliminary report, A-125, BUTLER, Gregory. Maximal subgroups of the sporadic BROWN, Ron. An approximation theorem for real places simple group of Held, Preliminary report, A-695, on algebraic function fields. Preliminary report, A-264, BUTTON, Robert Warren, When do two topologies have BROWN, Scott W, Algebras that are u-weakly closed, the same monads? A-610. Preliminary report, A-231; Some invariant subspaces for BYNUM, W. L. Normal structure and the Banach-Mazur subnormal operators, A-586, distance coefficient. Preliminary report, A-116, BROWNELL, F. H. Real axis ~moothness of Dirac Ham BYRD, K, A. Structure of q-rings, A-62, iltonian resolvents. Preliminary report, A-319, BYRD, Richard D., LLOYD, Justin T. and STEPP, BRUCK, Ronald E. Strong convergence of the farthest Jam~;s W. On the automorphism group of the semigroup closest point algorithm, Preliminary report, A-129; A of complexes of a finite abelian group, A-70; On the car simple proof of the mean ergodic theorem for nonlinear dinality of set products in groups, A-75. contractions in Banach spaces, A-237; On a nonlinear BYRNE, George D. See HINDMARSH, Alan C. superposition principle and the asymptotic behavior of BYRNES, Christopher I. On Kronecker indices and sys periodic contractive evolution systems, A-393, tem reliability, Preliminary report, A-554; On classify BRUIJNING, Jeroen. A characterization of dimension of ing space techniques in realization theory. Preliminary topological spaces by totally bounded pseudometrics, report, A-664. A-449. CAICEDO, xavier. Back-and-forth systems for arbitrary ---. See NAGATA,Jun-iti, quantifiers. Preliminary report, A-249, BRUIJNING, Jeroen and NAGATA,iJun-itl. A lemma on CAIN, William D, Positive orbit sets in 2 manifolds, Pre n-dimensional topological spaces, A-606, liminary report, A-663, BRUNNER, Andrew, MAYLAND, E. J., Jr. and SIMON, CAINES, P, E. See GOODRICH, R. L, Jonathan, A knot-group in s4 with nontrivial second CALDER, Allan and HASTINGS, Harold M, Realizing homology, Preliminary report, A-257, strong equivalences, A-328, BRUNO, Vincent J, A Weierstrass approximation theorem CALDERBANK, Robert, Combinatorics, Preliminary for topological vector spaces, A-236; Lagrange and Her report, A-36, mite interpolation in locally convex spaces, A-354; The CALLIER, F, M. and DESOER, C, A, Dynamic output continuity of monotone polynomial operators on ordered stabilization of a control system. Preliminary report, topological vector spaces, A-485, A-665, BRUNS, Winfried, Embedding modules into direct sums CALUDE, Cristian, Global syntax and semantics for of cyclics, A-370. recursively enumerable languages. Preliminary report, BRYANT, Robert L. The linking probability of random A-361, spheres in sn, A-667, CAMERON, Douglas E. Properties of S-closed spaces, BRYDGES, David C. Convergent expansions in physics, A-256. A-320. CAMPBELL, Douglas. Characterizations of normal BRZENK; Ronald M. Cyclic cohomology groups in dimen meromorphic functions, A-655. sion 2 for class field theory, Preliminary report, A-513, CAMPBELL, Neville. Pushing up L3(2N), Preliminary BUCHWALD, Jed Z, Cauchy and the partial differential report, A-75, equations of wave optics. Preliminary report, A-503, CAMPBELL, Stephen, FAULKNER, Gary and SINE, BUELL, Duncan A, Computations relating to elliptic Robert. Isometrics, projections, and Wold decompositions, curves and class groups of quadratic fields, Preliminary A-533, report, A-280, CANNON, J.R. A class of inverse problems, A-101, BUHLER, Joe, Local constants of primitive local Galois CANTOR, Murray, Specification of scalar curvature on representations of prime degree, Preliminary report, R3 and solutions of the scalar constraint equation of A-280, general relativity, A-167. BULMAN-FLEMING, Sydney and McDOWELL, Kenneth, CANTWELL, John and CONLON, Lawrence, Leaves of Flat semilattices, A-2; Flatness in varieties of normal finite class. Preliminary report, A-146. bands, A-574, CANTWELL, John and SWEENEY, Thomas F. Convexity BUMBY, R. T, and SONTAG, E. Reachability does not in projective space, A-643, imply coefficient assignability. Preliminary report, A-595. CAPOBIANCO, FrankL, Manifolds and (Z2 X Z2)-actions, BUMBY, R. T,, FISHER, R., LEVINSON, H. and SIL Preliminary report, A-145. VERMAN, R. Topologies on finite sets. Preliminary re CARASSO, Alfred, On a system of nonlinear partial dif port, A-306, ferential equations describing cylindrical plasma collapse, BUONI, John J, and KLEIN, A. On the generalized Calkin A-102. algebra, A-534. CARDOSO, Jayme M. and SILVA, Clovis P. On Ward A-741 quasigroups. Preliminary report, A-220. CHEATHAM, Tom and ENOCHS, Ed. c-commutativity CARGO, Gerald T. Fixed points and ideal fixed points of in R[x) and in R[[x)], A-60. holomorphic functions. Preliminary report, A-636. CHEEGER, Jeff. Aspects of the geometry and topology CARLSON, B. C. Computing elliptic integrals by dupli of the spectrum, A-135. cation. Preliminary report, A-89. CHEN, Bang-yen. Cobordism, A-genus and Einstein CARLSON, James A. Extensions of mixed Hodge struc Kaehler metrics,A-13; Totally umbilical submanifolds in tures. Preliminary report, A-515. symmetric spaces. Preliminary report, A-598. CARLSON, Tim. Ranges of signed measures. Prelimi CHEN, Jau-D. On divergence of Vilenkin-Fourier series. nary report, A-644. Preliminary report, A-486; On representation of mea CARLSON, Timothy. On a pre-ordering of measures. surable functions by multiple trigonometric series. Pre Preliminary report, A-247. liminary report, A-584; The representation of functions CARMONA, Rene. Probabilistic study of Schrlldinger of several variables defined on the torus. Preliminary re operator. Preliminary report, A-253. port, A-702. CARMONA, Rene and CHEVET, Simone. Tensor Gaus CHEN, Raymond. On the closed convex hull of the set sian measures on LP(E). Preliminary report, A-252. of coefficients of stable polynomials. Preliminary report, CARRELL, James B. and SOMMESE, Andrew John. The A-436; On a general problem of stabilization of polyno topology of Kaehler manifolds admitting a C* action, mials, A-553. A-713. CHEN, S. Spectra of discrete uniform subgroups of CARRIG, James E. and VASCONCELOS, Wolmer. Regu semisimple Lie groups. Preliminary report, A-77. lar elements in one-dimensional rings. Preliminary re CHENEY, E. W., PHILLIPS, G. M. and McCABE, J.H. port, A-55. A mixed-norm bivariate approximation problem, A-391. CARROLL, Joseph and KISILEVSKY, Hershy. The Iwa CHENG, Charles Ching-Anand WU, Yel-Chiang. Obstruc sawa invariants of certain Zp-extensions, A-513. tion theory for Lie algebras, A-68; Categories of Hochs CARROLL, Robert. Transmutation and separation of child dimension one. Preliminary report, A-628. variables. Preliminary report, A-433. CHENG, Hsueh-Cheng. Regular piecewise smooth econ CARTER, James W. Some representation theorems. omies. Preliminary report, A-168. Preliminary report, A-251. CHENG, s. Y. and YAU, s. T. Construction of Einstein CARTER, Patricia H. An improvement of the Poincare K!thler metrics and complex Mange-Ampere equations, Birkhoff fixed point theorem. Preliminary report, A-139. A-403. CASAS, Antonio. On the existence of Nikodym sets and CHENG, Stephen W. See EISENFELD, Jerome. related topics. Preliminary report, A-428. CHERENACK, Paul. A two variable criterion for extrema CASSELMAN, William. Cohomology and infinite-dimen with related effective procedure, A-57. sional representations, A-404. CHEVET, Simone. See CARMONA, Rene. CASTRO, Alfonso. A nonlinear Dirichlet problem. Pre CHI, Dong Pyo. Which selfadjoint operator in the domain liminary report, A-99. of a closed derivation satisfies the domain problem? A-532. CATTANI, Eduardo and KAPLAN, Aroldo. SLz-orbits CHILLINGWORTH, David R. J. See MARSDEN, Jerrold E. in flag domains, A-77. CHIVUKULA, R. Rao. Bohr compactifications of products, CAVARETTA, A. S., Jr. A refinement of Kolmogorov1s A-119. inequality, A-530. CHONG, C. T. Major subsets. Preliminary report, CAVENDISH, James C. The mathematics of catalytic A-248; Rich sets and cones of minimal covers. Prelimi converter modelling, A-160. nary report, A-602. CECIL, Thomas E. and RYAN, Patrick J. Focal sets, CHORIN, Alexandre J. Numerical models of vorticity taut embeddings and the cyclides of Dupin, A-133; Tight generation in boundary layers, A-400. and taut immersions into hyperbolic space, A-133. CHOU, Ching. On elementary amenable groups. Preli QELIK, Hasan A. On the subclasses of antiflexible rings. minary report, A-233; Weakly almost periodic functions Preliminary report, A-67. on SL(2, lR). Preliminary report, A-356. CENZER, Douglas. Nongenerable REsets, A-24. CHOUINARD, Leo, HARDY, Bonnie and SHORES, Thomas. CERDA, Joan. A coincidence theorem, A-357. Arithmetical semigroup rings, A-56. CHACHERE, Gerald R. An application of numerical analy CHOW, P. L. Approximate solution of stochastic evolu sis to differential geometry. Preliminary report, A-134. tion equations. Preliminary report, A-151. CHAE, Soo Bong and SMITH, Jeff H. Remote points and CHUDNOVSKY, David V. and CHUDNOVSKY, Gregory V. Z-ultrafilters on metric spaces, A-139. Multisoliton formula for completely integrable two-dimen CHANDER, Ramesh. On the modified sine operator, A-243. sional systems, A-585; Higher Burgers-Hop£ equations CHANDRAN, V. R. A note saturated lattices. Prelimi and two-dimensional nonlinear partial differential equa nary report, A-225. tions, A-698. CHANDRASEKHARAN, P.S. and BHARUCHA-REID, A. T. CHUDNOVSKY, Gregory V. See CHUDNOVSKY, David. Approximate solution of fixed point equations for random CHUI, C. K. See BOROSH, I. operators. I, A-152. CHUI, Charles K. and SMITH, Philip W. An application CHANG, Shian-Ming and FOOTE, Richard. Capitulation of spline approximation with var'iable knots to optimal es patterns in class field extensions of type (p,p). Prelimi timation of the derivative. Preliminary report, A-530. nary report, A-52. CHUKWU, Ethelbert N. Ultimate boundedness of solutions of CHANG, Sun-Yung A. B. M. 0. on polydisc. Preliminary some nonlinear neutral differential equations, A-7; Neutral report, A-293. functional differential equation of Lurie type, A-245; An es ---. See AXLER, Sheldon. timate for the solutions of a certain functional differential CHANG, Sun-Yung A. and ZALCMAN, Lawrence. Genera equation of neutral type, A-488; The controllability of tors of C(D). Preliminary report, A-637. nonlinear neutral systems with limited controls, A-594; CHANG, Y. F. See CORLISS, George. Euclidean controllability of nonlinear, functional differen CHAPIN, E. William. Fuzzy sets and cardinals. Preli tial systems of neutral type. I, A-703. minary report, A-27. CHUNG, K. L. and RAO, K. Murali. A new setting for CHAPIN, Jed and GAiviLEN, John. Convergence of dis potential theory, A-625. crete Markov processes. Preliminary report, A-605. CHUNG, K. M. See LIU, C. L. CHARATSIS, E. and RAO, A. N. V. Estimation of mono CHURCH, Curtis K. and TSOKOS, ChrisP. On the be tone failure rate in multivariate failure models. Preli havior of grouping sets from exponential distributions. minary report, A-158. Preliminary report, A-157. CHARNOW, A. See BRENNER, J. L. CHURCHILL, Richard. Stochastic behavior in a simple CHATFIELD, John A. Eigenvalues of Stieltjes-Volterra mechanical system, A-319. integral equation, A-112. CHVATAL, Viiclav. Cutting planes in combinatorial ar CHATTERJEE, A. K. and DEBNATH, Lokenath. Non guments, A-510. linear mathematical model of the flow past an island in a CHWE, Byoung-Song. Lie algebra of class D, A-67. tidal estuary, A-11. CIGNOLI, Roberto. Coproducts in the categories of Kleene CHAUDHURI, Niranjan-Prasad. On G. Birkhoffts prob and three-valued Lukasiewicz algebras, A-5. lem. Preliminary report, A-576. CIMA, Joseph A. and PFALTZGRAFF, John A. Holomor- A-742 phic extension from the sphere to the ball in HUbert space, nilpotent Lie group. Preliminary report, A-78. A-660. COWEN, Carl c. Lifting the commutant of an analytic CIMA, Joseph A. and WOGEN, Warren. On isometries Toeplitz operator, A-124; An analytic Toeplltz operator of the Bloch space. Preliminary report, A-283, that commutes wlth a compact operator, A-434. CLANCEY, Kevin F. and ROGERS, Donald D. Cyclic vec COWLES, John R. The number of solutions of the Gauss tors and semlnormal operators, A-126. Librl equation ln GF(pll). Preliminary report, A-419; CLARK, Bradd. Factoring free actions. Preliminary re Generalized Archimedean fields and logics with Malitz port, A-145; Factoring free actions on 3-manifolds, A-451. quantifiers, A-602. CLARK, David M. and KRAUSS, Peter H. Affine para COWLING, Michael. Complementary series for rank primal algebras, A-348; Global representation of varie two groups, A-717. ties, A-580. COX, J. Theodore. The age functional for Markov CLARK, Douglas N, Concrete model theory, A-125, chains, A-624. CLEMENTS, G. F. On maximal antichains containing no COZZENS, John H. Representations of orders. Preli set and lts complement, A-29, minary report, A-65. CLIFF, E. M. See BURNS, J. A. CRAMER, E. and RANKIN, S. M., m. Existence for CLUNIE, J, See BARTH, K. F. second order functional differential equations. Prelimi COBURN, Lewis A. See BERGER, Charles A. nary report, A-312. COFFMAN, Charles V. On the biharmonic Green's func CRANDALL, Michael G. See AMANN, Herbert. tion for plane regions with a corner, A-102. CRANWELL, Robert M. and WEISS, N. A. A strong law COHEN, DonaldS. Multi-species interactions with heredi of large numbers for stationary point processes, A-152. tary effects and spatial diffusion, A-620. CRAPO, Henry. Dependent spatial frameworks, A-642. COHEN, F. R., MOORE, J.C. and NEISENDORFER, J.A. CRAVEN, Thomas C. Characterizing reduced Witt rings, Exponents of the homotopy groups of spheres, A-646. A-266; Intersections of real closed fields, A-455. COHEN, Joel E. Ergodic theorems in demography, A-58, CREEGAN, Paul F., Jr. Function spaces and generalized COHEN, M. E. and SUN, H.S. On algebraic structures set functions. Preliminary report, A-118. with tbree operations. Preliminary report, A-45, CRITTENDEN, Richard and VANDEN EYNDEN, Charles. COHEN, Marvin N. and McKNIGHT, J.D., Jr. Pseudo Completing partial Latin squares, A-482. hereditary rings of continuous functions, A-57. CRUSE, Allan B. On removing prescribed vertices from COHEN, Ralph L. New infinite families in the stable a convex polyhedron. Preliminary report, A-483. homotopy groups of spheres and of Moore spaces. Preli CUADRADO, John L, Obstructions to free product de minary report, A-540. compositions of rational loop space homology of polyhedra. COHEN, Simon. A measure derived Banach algebra Preliminary report, A-143. topology. Preliminary report, A-115. CUNNINGHAM, William H. See BIXBY, Robert E. COHN, Harvey. Another minimal property associated CURTIS, Charles W. Representations of finite groups of with Markoff forms. Preliminary report, A-45. Lie type, A-71. COHOON, David K, A model of the thermal response of CUSHING, J. M. Oscillations in age dependent growth the head to radiofrequence electromagnetic radiation, models, Preliminary report, A-620. Preliminary report, A-552. CUSICK, T. W. and KOLESNIK, G. Turan•s second COIFMAN, Ronald R. Applications of the Fourier trans theorem on sums of powers of complex numbers, A-302. form in noncommutative harmonic analysis, A-713. CVETKOVI6, Dragos. See DOOB, Michael. COLEMAN, Bernard D. On the entropy of materials with DADOK, Jiri. Solvability of invariant differential opera memory, A-545. tors of principal type on certain Lie groups and symme COLEMAN, Courtney S. Limit cycles of planar polyno tric spaces, A-717. mial differential systems: a survey, A-616. DAHLQUIST, Germund G. G-stability is equl valent to COLLINS, W. Robert. Traditional morphlsms on manuals A-stability, A-401. of operations. Preliminary report, A-41. DAHMEN, W., DEVORE, R. and SCHERER, K. Direct CONCUS, Paul, See FINN, Robert. and Inverse theorems for spline approximation in several CONLON, Joseph G. Asymptotic behavior for a single variables, A-374. hyperbolic conservation law wlth periodic initial data, DALE, Louis, Ideal types In a polynomial halfrlng. Pre Preliminary report, A-104. liminary report, A-392. CONLON, Lawrence. See CANTWELL, John. DALE, Louts and PITTS, Janet D. Euclidean and Gaus CONNELLY, Robert. The rigldlty of certain cabled frame sian semirlngs. Preliminary report, A-219. works and the second order rigidity of arbitrarily triangu DALEY, Robert P. Busy beaver sets and the degrees of lated convex surfaces. Preliminary report, A-439; Exotic unsolvabillty, A-16; Generalized busy beaver sets. Pre rigldlty, A-644. liminary report, A-363, CONNETT, William C. and SCHWARTZ, Alan L. The DANCHICK, Roy. A global error characterization theo Littlewood-Paley theory for Jacobi expansions, A-109; rem and efficient global error estimation for maximum Maximal functions and the harmonic structure of Jacobi polynomial degree Nordsleck-Gear methods, A-399. series, A-111. DANKEL, Thad, Jr. On moduli of continuity of analytic CONRAD, Bruce. A k-invariant for BGL(n,R)+. Preli and harmonic functions, A-83. minary report, A-328. DANKNER, Alan. Axiom A dynamical systems, cycles, CONWAY, J. B. and MORREL, B. B. Points of continuity and sptblllty. Prelimlnar:f report, A-149. of the spectrum and spectral radius, A-585, DAROCZY, z. See ACZEL, J. COOK, David E. and TRUAX, Robert L. Multiple choice DARST, Richard B. Prediction in Lp, 1 < p < co, A-632. tests and normal distribution. Preliminary report, A-708, DA TKO, Richard F. Some stability properties of linear COOKE, Charlie H. On the sufficiency of a numerical differential-difference equations in a Hilbert space, Pre downstream continuation, A-526, liminary report, A-525. COOPER, J. Scattering of plane waves by a moving ob DATTA, B. N. Two Inertia theorems for Hessenberg stacle, A-307. matrices and their applications to stability problems, COOPER, J. and STRAUSS, W. Exterior eigenvalues of a A-171, vibrating body, A-593. DATTA, Blswanath. An elementary proof of the stability CORAY, Chris and HEAL, E. R. On one sided Chebyshev criterion of Lienard and Chipart, A-425. approximation, A-160, DATTA, Dlllp K. Exterior recurrent forms, Preliminary CORLISS, George, CHANG, Y.F. and KRIEGSMAN, Gre report, A-132. gory. Finding eigenfunction expansions for PDE 's using DAUER, Jerald P. and KRUEGER, Robert J. Mathemati Taylor series, A-161. cal programming techniques In majorization, A-401. CORONES, James. Lle groups and nonlinear partial dif DAUNS, John. Algebraic extensions of skew fields. Pre ferential equations, A-638. liminary report, A-58. CORWIN, Lawrence. Representations of p-adic division DAVERMAN, Robert J. A nonshrinkable decomposition algebras: The wildly ramified case, A-331, of sn determined by a null sequence of cellular sets, A-448. CORWIN, Lawrence and GREENLEAF, Frederick P, DAVERMAN, Robert J. and ROW, W. H. Cell-like 0-di The Fourier transform of a Schwartz class function on a menslonal decompositions of s3 are 4-manlfold factors,A-365. A-743 DAVIS, Donald M. Stable p-equivalences of stunted com rable field extensions and group algebras. Preliminary plex projective spaces. Preliminary report, A-144. report, A-653, DAVIS, E. D. Further progress on the prime sequence DEVORE, R. See DAHMEN, W. questions. Preliminary report, A-371. DeVORE, Ronald A. and SCHERER, Karl. Interpolation DAVIS, Michael. Actions of S0(3) and G2 on certain of operators in Sobolev spaces, A-239. homotopy spheres, A-646. DeVOS, Robert. Conullity of a pair of conservative ma DAVIS, S. W. A nondevelopable Cech-complete space trices. Preliminary report, A-105. with a point-countable base. Preliminary report, A-669, DEY, S. K. Numerical instabilities of nonlinear partial DAVIS, S. W., GRUENHAGE, G. and NYIIi:OS, P. J. differential equations, A-705. G6-sets in symmetrizable and related spaces. Prelimi DEYO, Roderic C. Universal trace classes. Preliminary nary report, A-139. report, A-612. DAVISON, Mark and GRUNBAUM, F. Alberto. Recover DEZA, M. and SINGNI, N. M. Some properties of perfect ing a function from its projections, A-627. matroid-designs, A-331. DAWSON, David F. Summability of matrix transforms of DIAMOND, Harvey R. Asymptotic equilibria in a class of stretchings and subsequences, A-105. N-person symmetric games, A-167; Estimates of the DAY, Brian J. Monoidal monads with algebraic rank, counting function of integers having small prime factors, A-225; Varieties of an enriched category, A-347; Stone A-304. duality over Boolean topoi, A-417; Pontryagin duality in DIAS DASILVA, J. A. Conditions for equality of decom universal algebra, A-478; On extension of Pontryagin posable symmetric tensors, A-4. duality, A-569. DIAZ, J. B. and RAM, R. B. A reflection principle for DAY, Brian J. and HAMMER, J. Generalized convexity a fourth order partial differential equation which is related spaces, A-246. to the biharmonic equation, A-317. DE ACOSTA, Alejandro. The general converse central DIAZ, Jose. The iJ operator is P for trees. Preliminary limit theorem in Banach spaces, A-297. report, A-577. DEBNATH, Lokenath. See CHATTERJEE, A. K. DIDERRICH, George, Boundedness on a set of positive DEBNATH, Lokenath and BASU, Uma. Propagation of measure and the fundamental equation of information, A-246. magnetohydrodynamic dispersive waves on a running DIESTEL, Joseph. Limiting sets in Banach spaces, A-633; stream, A-163. Some remarks on J. Lindenstrauss•s paper "Weakly com DECKARD, Don and FIALKOW, L. Characterization of pact sets-their topological properties and the Banach Hilbert space operators with unitary cross sections, A-123. spaces they generate" and its recent Review, A-701. DECKER, Richard W. A class of irreducible graphs for DIETZ, David and GREENBERG, William. Spectrum of the torus, A-276. commuting self-adjoints and conditional entropy, A-322. DECKER, Richard W., GLOVER, Henry H. and HUNEKE, DIKSHIT, H. P., MATIIUR, K. K, and SHARMA, A. John Philip. The orientable genus of a 2-connected graph, Orthogonal basis for some classes of spline functions, A-39. A-289. DElFT, Percy A. and TRUBOWITZ, E. Inverse scattering DILIBERTO, Stephen P. Some results concerning separa on the line,A-307. trices, A-620. DeLAND, Paul N. and SHIFLETT, Ray C. Doubly sto DILWORTH, R. P. Geometric lattices, A-614. chastic measures supported by measurable functions. Pre DINCULEANU, Nicolae. See BROOKS, James K. liminary report, A-150. DINITZ, Jeff. Orthogonall-factorizations of~· Preli DEL JUNCO, A., AKCOGLU, M.A. and RAHE, M. minary report, A-696. Finitary coding in ergodic theory, A-310. DIPAOLA, Robert A. The theory of partial a-recursive de MICHELE, Leonede and INGLIS, Ian R. LP estimates operators. Preliminary report, A-497; The theory of par for strongly singular integrals on spaces of homogeneous tial a-degrees. Preliminary report, A-599. type, A-430. DIPPOLITO, Paul R. Codimension one foliations of closed DEMKO, Stephen. On bounding the norm of the inverse of manifolds, A-146. a band matrix, A-276. DI PRISCO, Carlos A. On the combinatorics of ~().), DEMYS, K. New theorems on the sums of real powers of A-646. successive integers, A-428; EXORcist algebra: Euler-Venn DIVEKAR, V. G, See PAI, D. V. diagrams by digital computer, A-582; Bernoulli numbers DIXON, P. G. Scalar homomorphisms on algebras of of noninteger order and fractional dimensions, A-623; A infinitely long polynomials, with an application to automatic gravitational experimentum crucis, A-705; Surfaces of continuity theory, A-591. sphere-packed shells of equal edges, A-715. DJOKOVIC, Dragomir Z. Finite number of double cosets DENDY, J.E., Jr. The multigrid method for the pressure in a free product with amalgamation, A-578, iteration in Eulerian-Lagrangian hydrodynamics. Prelimi DLAB, V. Recent developments in the representation nary report, A-379. theory, A-62; On the classification of torsion-free abelian DENNIN, Joseph B., Jr. Decomposition of primes in bi groups of finite rank, A-273. quadratic extensions of Q, A-52. DOBBS, David E. On locally divided integral domains and DERR, Leroy, OUTLAW, Curtis and SARAFYAN, Diran. CPI-overrings, A-349; On INC-extensions and polynomials Generalization of Euler-Maclaurin summation formulas to with unit content, A-424. the six-point Newton-Cotes quadrature formula, A-376. DODSON, Bruce A. New examples of quasi-Abelian varie DERRICK, William R. A deterministic epidemic model. ties, and complete reducibility, A-515. Preliminary report, A-169. DOLGACHEV, Igor. C*-surface singularities whose K DERRICK, William R. and YALE, Keith. The functional is a homological sphere, A-303; On isolated insignificant differential equation If' (g(x)) = m(g(x))lf(x) with g(g(x)) = x, limit singularities, A-653; On projective weighted complete A-91. intersection varieties, A-711. DE SAPIO, Rodolfo. Compositions in homotopy groups of DONAGI, Ron. Hodge classes on Abelian varieties. Pre spheres, A-298, liminary report, A-517. DESKINS, W.. E. and SASTRY, N.S. Normality conditions DONATO, Jerry. Gauss-Bonnet theorem and the price of on r-minimal subgroups, A-261. capital, A-641. DEBOER, C. A, See CALLIER, F. M. DOOB, Michael, Graphs with a smaU number of distinct DeTEMPLE, Duane W. A geometric method of phase plane eigenvalues. II, A-479. • _ analysis. Preliminary report, A-460. DOOB, Michael and CVETKOVIC, Dragos. Spectral DEUTSCH, F., NURNBERGER, G. and SINGER, I. Weak characterizations and imbeddings of graphs, A-350, Chebyshev subspaces and alternation of best approximations. DOR, Leonard. A martingale inequality with application Preliminary report, A-377. to subspaces- of L1. Preliminary report, A-293; On basis DEVANEY, Robert L. Subshifts of finite type in linked constants and duality in Banach spaces, A-491. twist mappings, A-324, DOR, Leonard E. and STARBffiD, T. Projections of Lp DEVENEY, James K. Recent results on fields of charac onto subspa0es spanned by independent random variables, teristic p ,;, 0. Preliminary report, A-371, A-290. DEVENEY, James K. and MORDESON, John N. On pencil DOSTAL, Milos A. Indicators of convex bodies whose Galois theory, Preliminary report, A-514; Purely insepa- Gaussian curvature may vanish. Preliminary report, A-640. A-744 DOTSON, W. G. See FEATHERS, Gordon R. EDMONDS, Allan L, Deforming maps to branched cover DOUGLAS, Ronald G. On equivalence of operators on ings. Preliminary report, A-260. HUbert space, A-317. ---. See BERSTEIN, Israel. DOUGLIS, Avron and FABES, Eugene. The layering EDMONDS, Jack and MANDEL, Arnalda. Topology of method for the Navier-Stokes equations. Preliminary re oriented matroids. Preliminary report, A-510. port, A-528. EDREI, Albert. Zeros of successive derivatives of en DOW, Alan. Absolute C-embedding of spaces with count tire functions of the form exp(-F(z)), A-639. able pseudocharacter. Preliminary report, A-610. EDWARDS, Bruce H. Rotations and discriminants of quad DOW, Alan and FOERSTER, Ortwin. Absolute C*-em ratic spaces, A-261. bedding ofF-spaces. Preliminary report, A-254. EDWARDS, Constance C. The minimum group congruence DOWNEY, Charles. See KARLOFF, John. on an ..'?unipotent semigroup. Preliminary report, A-70; DOYLE, J. K., MANDELBERG, K. I. and VAUGHAN-LEE, F-orthodox semigroups, A-581. M.R. On solvability of groups of exponent four, A-220. EDWARDS, David. See AZOFF, Edward. DRAKE, David A. Generalized Hadamard matrices over EDWARDS, Robert D. Images of manifolds under cell groups, A-508. like maps, A-147; A theorem and a question related to DRAPER, James A. Moduli for homotopy types-the cohomological dimension and cell-like maps, A-259. stable range. Preliminary report, A~301. EENIGENBURG, Paul and NELSON, Don. On the rela DRASIN, David. More developments in value distribution tive growth of area for subordinate functions. Preliminary theory, A-633. report, A-84. DRIVER, R. D. Can the future influence the present? EGGAN, L. c. Extending the lattice-point-covering A-525. Cassini-oval function. Preliminary report, A-47. DRUCKER, Daniel. Simplified descriptions of the excep EGGERT, Norman H. Strong unicity constants. Preli tional bounded symmetric domains, A-87. minary report, A-378. DUDLEY, R. M. and KUELBS, J. Limit theorems for EHRLICH, Paul E. See BEEM, John K. empirical measures, A-296, EISENBERG, S. and WOOD, B. An asymptotic theorem DUKE, Richard A. See BURR, StefanA. for a class of positive linear convolution operators, A-106, DULL, Martin H. and SAALFELD, Alan J, An unneces EISENBERG, Sheldon M. A history of the Bohman-Korov sary assumption in the fundamental theorem of projective kin theorem, A-502. geometry, A-537. EISENBUD, David and NEUMANN, Walter. Fibering the DUNCAN, Robert C. and WITTEN, Matthew. Problems complement of an Iterated torus link over s•. Preliminary arising from truncation and roundoff in iterative models, report, A-300. A-490. EISENFELD, Jerome and CHENG, Stephen W. General DUNHAM, Charles B. Rational approximation on subsets. moment methods for a class of nonlinear models, A-162, Preliminary report, A-355; Failure of strong uniqueness, EKLOF, Paul C. and MEKLER, Alan H. The L(aa) A-427; Nearby uniqueness. Preliminary report, A-584. theory of abellan groups and other algebraic structures. DUPONT, Todd. Multigrid methods for elliptic finite Preliminary report, A-441. element equations, A-383, ELERATH, Douglas E. An improved Toponogov compari DUPRE, Maurice J. Duality for C*-algebras, A-118, son theorem for nonnegatively curved manifolds, A-598; DUREN, Peter and LEUNG, Yuk. Logarithmic coeffi Nonnegatively curved a-manifolds with a point of positive cients of univalent functions. Preliminary report, A-288. curvature, A-706, DURFEE, Alan. The structure of the two-dimensional ELMAN, Richard, LAM, T.-Y. and WADSWORTH, Ad Milnor fiber, A-300; The topology of algebraic singulari rlan. The algebraic theory of quadratic forms: Excellence ties, A-327. and strong !-amenability. Preliminary report, A-268; DURHAM, Steve. See PEARCE, Lynn, Orderings under field extensions, A-268. DWINGER, Philip. Completeness of Boolean powers of ELOSSER, P. Douglas. Conditions on bounded sets in Boolean algebras, A-2. locally convex spaces, A-232; Bounded sets, function DWYER, Thomas A. W., III. Analytic Fock spaces aris spaces, and topologies of the dual, A-487. ing from dynamical systems, A-640. ENGL, Heinz W. Existence of measurable optima in DWYER, William G. Higher divided squares in second stochastic nonlinear programming and control, A-655. quadrant spectral sequences, A-650. ENOCHS, Edgar. See CHEATHAM, Tom. DYMACEK, Wayne M. and ROSELLE, D. P, Uniformly ---. See STONE, David R. deep families and cyclic designs, A-34. ENSS, Volker. Asymptotic completeness of one-dimen DYNIN, Alexander. Singular operators on CR-manifolds. sional potential scattering, A-322. Preliminary report, A-313; Harmonic analysis of homo ENTRINGER, R. C., JACKSON, D. E., and SWART, geneous distributions on Heisenberg groups, A-713. Henda. Detours in digraphs, A-32. EAGON, John. Resolutions of ideals generated by minors EPHRAIM, Robert. Equivalence loci of mappings. Pre of a matrix, A-372. liminary report, A-292. EALY, Clifton E. , Jr. On the classification of generalized EPSTEIN, Dick, Analysis and degrees ofunsolvability .Q:_, quadrangles, A-38. A-441. EARLE, Clifford J. The integrable automorphic forms ERBACH, D. W., FISCHER, J, and McKAY, J. The com as a dual space, A-631. putation of Galois groups, A-271. EARNEST, Andrew G. Relationship of spinor geDUs defi ERDELYI, Ivan. Direct sum decomposition of operators nitions for quadratic forms. Preliminary report, A-48; with disconnected spectra, A-311; A unified theory of spec Structure of genera of binary quadratic lattices, A-266. tral decompositions on Banach spaces. II. Unbounded EBANKS, Bruce R. Information measures depending di operators. Preliminary report, A-534. rectly on events. Preliminary report, A-171. ERDt>S, Paul. On a problem of subsets and Ramsey's EBERHART, Carl and WILLIAMS, W. Wiley. Elementary theorem, A-31, orthodox semigroups, A-73. ---. See BURR, s. A. EBERLEIN, W. F. Remarks on nonlinear ergodic theory. ERD6S, Paul and GALVIN, Fred. A quantitative version Preliminary report, A-369, of the infinite Ramsey theorem. Preliminary report, A-29. EDELSON, Allan L. Conjugate and focal points of non ERDOS, Paul and MILLS, George. Some (more) bounds linear equations, A-618, for the Ramsey-Paris-Harrington numbers, A-581. EDELSTEIN, Michael and O'BRIEN, Richard C. Nonex ERDOS, Paul, FABER, Vance and LARSON, Jean. Sets pansive mappings, asymptotic regularity and successive of natural numbers of positive density and cylindric set approximations, A-117. algebras of dimension 2, A-226. EDGAR, G. A. The connection between Asplund operators ERICKSEN, Jerald L. St. Venant•s problem. Preliminary and pointwise convergence of vector-valued random vari report, A-546. ables. Preliminary report, A-294. ESTES, Dennis R. Classical matrix techniques over com EDGAR, Gerald and ROSENBLATT, Joseph. Difference mutative rings, A-268, equations over loca.p.y compact abelian groups, A-456, ESTES, DennisR. and MATIJEVIC, J.R. Uniquefactoriza EDGAR, Hugh M. See PETERSON, Brian L. tionofmatrices and Towber rings. Preliminary report,A-56. A-745 ETGEN, G. J, See LEWIS, Roger T. operator equation AX- XB =Yin norm ideals, A-353; ETGEN, G. J, and LEWIS, R. T. Hille-Wintner type A note on the range of the operator X-> AX- XB, A-591. oscillation criteria, A-96, ---. See DECKARD, Don. EVANS, B. D. Applications of the long annulus theorem, ---. See HERRERO, D. A. Preliminary report, A-391, FICKETT, James W. Approximate isometries on EVANS, Elliott. Slim trees. Preliminary report, A-221; bounded sets, A-598, Boolean rings with semilattice bases, A-349; Prime FIELD, David A. An iterative solution of nonlinear equa atoms in atomic lattices, Preliminary report, A-480, tions in several variables. Preliminary report, A-159. EVANS, M. J. See BELNA, C. L. FINN, Robert and CONCUS, Paul. The sbape of a pen EVANS, Ronald J. Bioctic Gauss sums and sixteenth dent liquid drop, A-401. power residue difference sets, A-45. FINTUSHEL, Ronald and WALSH, John J. Singularly ---. See BERNDT, Bruce C. fibered homotopy spheres. Preliminary report, A-650, EVARIST, Gine M. Poisson measures on Banach spaces, FISCHER, David R. On the transcience of random walks A-298. on nilpotent Lie groups. Preliminary report, A-76, EWING, Richard E. The Caucby problem for a linear FISCHER, J. See ERBACH, D. W. parabolic partial differential equation. Preliminary re FISCHER-COLBRIE, Doris H. On minimal submanifolds port, A-100; Alternating-direction Galerkin methods for of the sphere. Preliminary report, A-133. some third-order and fourth-order equations. Prelimi FISHER, Joe W. Finiteness conditions for modular lat nary report, A-380. tices with finite group actions, A-61. FABER, Vance. See ERDOS, Paul. FISHER, R. See BUMBY, R. FABES, Eugene. See DOUGLIS, Avron. FISHER, Robert J. Endomorphisms of Abelian varieties, FAITH, Carl. The basis theorem for modules over non A-57. commutative rings. Preliminary report, A-61; Injective FISHER, Stephen D. Some nonlinear extremal problems modules and maximal quotient rings. Preliminary report, for holomorphic functions. Preliminary report, A-374. A-628; Injective modules over Levitzki rings, A-697. FITZGERALD, Carl H. The princess and the monster, FALB, Peter L, Feedback constructions for systems Preliminary report, A-494. with parameters. Preliminary report, A-554. FALHERTY, Francis J. Wave surfaces in Minkowski FALK, Richards. Error estimates for the approximation space, A-462, of an unknown coefficient in a differential equation, A-379. FLASCHKA, Hermann. On the structure of finite-gap FARMER, K. Bolling. Wreath products with faithful potentials, Preliminary report, A-638, projective representations, A-68, FLEISSNER, Wtlliam G. See VAN DOUWEN, EricK. FARMER, Thomas A, Nilpotent groups of Heisenberg FLEMING, Richard J, and JAMISON, James E. Commu type. Preliminary report, A-77; On principal series re tants of triangular matrix operators. Preliminary report, presentations of the complex symplectic groups induced A-122; Linear isometries of a certain metric space. from maximal parabolic subgroups, A-294, Preliminary report, A-122. FARRELL, F. Tom and JONES, Lowell E. Examples of FLEMING, Wendell H. Exit probabilities and optimal dynamical systems on an exotic torus, A-19; New attrac stochastic control. Preliminary report, A-156; Optimal tors in hyperbolic dynamics, A-709, control: An introduction, A-406. FATTAHI, A. On the graph of a generalized Sylow tower FLETCHER, Peter and LINDGREN, Wtlliam, GO spaces group. Preliminary report, A-520, and quasi-uniformities. Preliminary report, A-135, FAUDREE, R. J. See BURR, S, A. FOERSTER, Ortwln, See DOW, Alan, FAULKNER, Gary, See CAMPBELL, Stephen, FOIAS; Ciprian, See APOSTOL, Constantin. FAULKNER, Gary D. and HUNEYCUTT, James E., Jr. FOLDES, Stephana, Decision problems on finitely pre Convolution iterates of Banach algebra valued measures, sented varieites, A-612. A-79; The canonical form of a scalar operator in a Banach ---. See BENZAKEN, C. space, A-125, FOLDES, Stephane and SABIDUSSI, G. On semigroups of FAUNTLEROY, Amassa. Algebraic interpretations of. graph endomorphisms, A-223. Weitzenbock•s problem, A-370. FOLLAND, G. B. Analytic regularity of bypoelliptic opera FEATHERS, Gordon R. and DOTSON, W. G. A nonlinear tors, A-394, theorem of ergodic type II, A-114. FOOTE, Richard, See CHANG, Shian-Ming, FEGAN, Howard D. and MILLMAN, RichardS. Quadrants FORAN, James. On extending the Lebesgue integral, of Riemannian metrics, A-324, Preliminary report, A-635, FElL, Todd. 0-automorphisms of the Hahn group. Preli FORBES, Donald. Mathematics of mathematics, Preli minary report, A-42. minary report, A-4; Mathematics of mathematics II: FEINBERG, Jerry M. A new maximum principle for sys Architecture. Preliminary report, A-572, tems of partial differential equations, A-100. FORD, David and ZASSENHAUS, Hans, Embedding of a FEINBERG, Robert B. and GROOMS, Ronald G. Symbolic Dedekind order into its maximal order. Preliminary re solution of linear differential equations. Preliminary re port, A-280. port, A-287. FORDYCE, Nancy J. Sufficient conditions for the rela FElT, Walter. Some problems in modular representation tive uniform topology to be a vector topology. Preliminary theory, A-73. report, A-118, FELDMAN, William A. See PORTER, James F. FORELLI, Frank. A necessary condition on the extreme FELDMAN, William A. and PORTER, James F. A repre points of a class of holomorphlc functions, A-284, sentation for normed vector lattices. Preliminary report, FORNAESS, John Erik. See BEDFORD, Eric. A-121. FORREST, Williams K, Projective constructible sets, FELL, Harriet J. On polynomials having their zeros on A-350; Some basic results in the theory of constructible a circle, A-571. sets, A-482. FELSENSTEIN, J, See SAWYER, S, FOURNELLE, Thomas. Infinite groups with finitely many FERGUSON, LeBaron 0. A Stone-Weierstrass type automorphisms, A-75. _ theorem, Preliminary report, A-615. FOURNIER, John J. F. On the L.L-norms of exponential FERGUSON, Pamela A, On a problem of Frobenius II. sums, A-456, Preliminary report, A-4. FOWLER, Northrup, m. Effective inner product spaces, FEROE, John A. Multiple Impulse solutions of a nerve A-644, equation, A-174. FOX, Harvey. Real functions and ambiguous points, A-331. FESHBACH, Mark, On the cohomology of compact Lie FOXBY, Hans-Bjdrn. Bounded complexes of flat modules, groups, Preliminary report, A-20. A-370, FEUERBACHER, Gary A. Irreducibly essential maps FRAGOULOPOULOU, Marla, Enveloping 1. m. c. *-alge from inverse limits. Preliminary report, A-137. bras. Preliminary report, A-490; Representations of FIALKOW, Aaron, LC-R filter synthesis. Preliminary l,m,c. tensor product *-algebras. Preliminary report, report, A-596, A-591; Semi-simplicity of 1. m. c, *-algebras. Preliminary FIALKOW, Lawrence A. A note on similarity cross sec report, A-700. tions for operators, A-235; A note on solution of the FRANCIS, George K. See MORIN, Bernard. A-746 FRANEK, Frantisek. See BALCAR, Bohuslav. GARABEDIAN, P. R. Historical remarks about the FRANKE, William Tadd. Fractional orders of periodic iJ-Neumann problem, the kernel function, and the Rie distributions, A-120. mann mapping theorem, A-313. FRASER, Marshall. A note on localization of Hilbert GARD, Thomas C. A strong flow-invariance property for functions, A-579. differential systems. Preliminary report, A-619. FREEDMAN, Marvin I. See BERKEY, Dennis D. GARD, Thomas C. and HALLAM, Thomas G. Persistence FREEDMAN, Michael A. Nonstandard representations, of positive solutions of differential equations. Preliminary A-115, report, A-95. FREEDMAN, Michael H. A global theorem on curves with GARDINER, Frederick P. One-parameter Teichmtlller non vanishing torsion, A-247. trivial curves. Preliminary report, A-630, FREEMAN, Michael. Existence of complex submanifolds GARDNER, Marianne Lepp. Line graphs and Whitney's of a real submanifold. Preliminary report, A-523. theorem. Preliminary report, A-34. FREESE, Ralph. Theorems on modular lattices. Preli GARDNER, Robert A. Asymptotic behavior of reaction minary report, A-422; Recent results in modular lattice diffusion equations with Dirichlet boundary conditions, theory, A-613. A-243. FREILICH, J.H. and McLAUGHLIN, H.W. Simultaneous GARDNER, Robert B. Constructing Backlund Transfor approximation. Preliminary report, A-316. mations, Preliminary report, A-394. FREMLIN, D. and SHELAH, S. On partition of the real GARG, K. M. A unified theorem on derivatives, A-670. line, A-600, GARIEPY, Ronald and ZIEMER, William P. Removable FREUD, Geza. On the greatest zero of orthogonal polyno singularities of solutions of quasi-linear parabolic equa mials, A-290; On the boundedness of orthonormal polyno tions, A-633. mials. Preliminary report, A-531, GASPER, George and TREBELS, Walter. Jacobi and FREUD, Geza and MHASKAR, H. N. A second order Hankel multipliers of type (p,q), 1< p < q < oo, A-108. modulus of continuity in weighted approximation. Preli GAULD, D. B. and VAMANAMURTHY, M.K. A special minary report, A-284; An outline of a theory of weighted case of Schtlnflies theorem for quasiconformal mappings polynomial approximation, A-375. inn-space, A-237. FREY, Addison E. The constant strain condition. Preli GBUR, Mary E. On the minimum of zero indefinite binary minary report, A-162, quadratic forms, A-48. FRIEDBERG, Michael. Compactifications of finite-dimen GEARHART, Larry. Weighted translation semigroups sional cones, A-69, and a time dependent Cauchy problem. Preliminary report, FRIEDBERG, Stephen H. and SPENCE, Lawrence E. A-100. Local-belonging sets and closed ideals in group algebras. GELLAR, Ralph. Translation semigroups. Preliminary Preliminary report, A-111. report, A-123. FRIEDLI, Armin and JELTSCH, Rolf. An algebraic test GELLER, Daryl. Necessary and sufficient conditions for for A0-stability, A-399. local solvability on the Heisenberg group, A-718. FRIEDMAN, Eugene M. A convergent analog of an asymp GEMAN, Stuart. The law of large numbers and the central totic expansion ofJ~ exp (t2)dt due to Stieltjes, A-398, limit theorem in neural modelling, A-543; A limit theorem FRIEDMAN, Harvey. Byerly's work in axiomatic recur for the norm of random matrices, A-707. sion theory, A-385. GEOGHEGAN, Ross. Stable fibered compacts have finite FRIEDMAN, Sy D. The real part of an admissible set, homotopy type, A-19. Preliminary report, A-14. GEORGE, Daryl. Homology with models. Preliminary FRIERSON, Dargan, Jr. A sequential rank test for a small report, A-144. change in distribution. Preliminary report, A-157. GERMA, Anne, See BERMOND, Jean-Claude. FRYANT, Allan J. Growth and complete sequences of GERONIMO, JeffreyS. Scattering theory and polynomials generalized hi-axially symmetric potentials, A-89; Exten orthogonal on a segment of the real line, A-292. sion of Privaloff1s theorem to ultraspherical expansions, GERSTEIN, Larry J. Unimodular quadratic forms over A-287. global functions fields. Preliminary report, A-263. FUCHS, Laszlo. On a duality of modules over valuation GERSTENHABER, Murray and MAY, Ralph M. The alge rings, A-55; Decompositions of finitely generated projec braic set of subextensions of a purely inseparable exten tive modules over Noetherian rings, A-372, sion, A-513. FUELBERTH, John, KIRKMAN, Ellen, and KUZMANOVICH, GERVER, Joseph L. and RAMSEY, L, Thomas. On cer James. Hereditary module-finite algebras, A-64, tain sequences of lattice points, A-461. FUGATE, J, B. and McLEAN, T. Bruce. A fixed point GESSEL, Ira M, A lattice-path problem, A-262; A non theorem for tree-like continua. Preliminary report, A-140. commutative generalization and q-analog of the Lagrange FULLER, Kent R. On a generalization of serial rings, inversion formula, A-555, A-62. GETOOR, R. K. A projection theorem for local time, FULP, R. 0. and MARLIN, J. A. Function groups as A-624. sociated with constraint submanifolds, A-148. GEWAND, Marlene E, On the Lindeltlf degree, Prelimi FULTON, Charles T. Singular eigenvalue problems with nary report, A-138. eigenvalue parameter contained in the boundary conditions, GHATAGE, Pratibha. C*algebras generated by shifts of A-97; Expensions in Legendre functions. Preliminary re high multiplicty. Preliminary report, A-594. port, A-525. GHOUSSOUB, Nassif. Banach lattices valued random FULTON, William and MacPHERSON, Robert. Intersec variables, A-364. tion theory and enumerative geometry, Preliminary report, GHOUSSOUB, Nassif and STEELE, J. Michael. Vector A-516. valued subadditive processes and applications in probability, GADIA, Shashi K, Boolean valued analysis and bounded A-445. operator differential equations. Preliminary report, A-233. GIARDINA, C. R. Bounds on the truncation error for GAFFNEY, Terence. See BANCHOFF, Thomas. Walsh expansions, A-311. GAGLIONE, Anthony M. A commutator identity. Preli GIBBONS, John. Perturbations of integrable systems, minary report, A-519, A-638. GALAMBOS, Janos. Concomitants of extreme order sta GIBSON, Peter M. Permanental pairs of doubly stochastic tistics, A-155, matrices, A-652. GALLAGHER, P.X. and MUELLER, J.H. Primes and GIFFEN, Charles H. Smooth manifolds over which every zeros in short intervals, A-305, vector bundle is trivial, A-649. GALVIN, Fred, Set-theoretic and topological games, A-387; GILBERT, William J. The fractal dimension of snowflake On a problem of Cech, A-604. spirals, A-641. ---. See ERDOS, Paul. GILFEATHER, Frank and LARSON, David R. Nest-sub GAMLEN, John. See CHAPIN, Jed. algebras of von Neumann algebras. Preliminary report, GANGOLLI, Ramesh. Zeta functions of Selberg's type, A-534. A-404. GILL, Tepper L. Construction of time-ordered operators, GANSNER, Emden R. The Burge correspondence and plane A-309. partitions. Preliminary report, A-275. GILLETTE, R. M. and TAYLOR, D. C. The minimal A-747 dense two-sided ideal of a C *-algebra with continuous GOODRICH, R. L. and CAINES, P. E. On the nonstation trace, A-427. ary covariance realization problems, A-666. GILLIAM, David and SCHULENBERGER, John. Potentials GOPAL, K. See KAPOOR, G. P. for symmetric hyperbolic systems. Preliminary report, GORDON, C. MeA. and LITHERLAND, R. A. The signa- A-99. ture of a knot, A-390. . GILLMAN, David. Reduction of standard spines. Preli GORDON, Gerald Leonard. On the index of nilpotency of minary report, A-145. the monodromy. Preliminary report, A-288. GILMAN, Jane. On the Nielsen type and the Hers-Thurs GORDON, Jean. See BOGART, Kenneth P. ton classification of the mapping class group. Preliminary GORDON, Sheldon P. A discrete approach to computer report, A-635. oriented calculus, A-554. GILMER, Robert and HEINZER, William. The quotient GORENFLO, R. Solution techniques for first kind Abel field of an intersection of integral domains. Preliminary integral equations under inequality constraints, A-113. report, A-652. GOULD, Matthew I. Automorphism groups of fl"ee alge GILMER, Robert and O'MALLEY, Matthew. On R-homo bras and direct products, A-223. morphisms of power series rings, A-53. GOULD, Matthew I. and JAMES, Helen H. Automorphism GINE, Evarist. See ARAUJO, Aloisio. groups retracting onto symmetric groups, A-302. GINSBURG, John. See BELL, Murray. GOULD, Ronald J. On degree sets for homogeneously GffiOUX, A., RAHMAN, Q. I. and SCHMEISSER, G. On traceable nonhamlltonian graphs. Preliminary report, A-421. Bernstein's inequality. Preliminary report, A-290. GOVINDARAJU, Kamesh. Flow of a viscous fluid III, GIVANT, Steven. The number ofnonisomorphic countable A-714. models of certain universal Horn classes. Preliminary GOVINDARAJULU, P. See PAl, D. V. report, A-624. GRAEF, John R. and SPIKES, Paul W. Further results on GLANC, Aloia. On a class of complete models for Car the nonoscillation of perturbed nonlinear differential equa nap's inductive logic. Preliminary report, A-248; Turing tions, A-93. machines, robots, and the GOLEM. Preliminary report, GRAFF, Richard A. Uniqueness of integral curves for A-438; On data structure modifications of the topological unbounded vector fields, A-238. sort algorithm. Preliminary report, A-494. GRAHAM, Colin C. On the support of a singular Fourier GLASS, A.M. W., HOLLISTER, H. A. and RHEMTULLA, Stieltjes transform. Preliminary report, A-457. A. H. Right orders v lattice orders, A-222. GRAHAM, Ronald L. A general Ramsey product theorem, GLASSEY, R. and STRAUSS, W. Conservation laws for A-38. the Yang-Mills and other equations. Preliminary report, GRANffiER, E. E. On some unitary representations with A-589. discrete support. Preliminary report, A-589. GLASSMAN, Armand. See WITTEN, Matthew. GRANIRER, E. E. and LEINERT, M. On some topologies GLAZ, Sarah. Differential criteria for flatness. Prelim which coincide on the Fourier-Stieltjes algebra B(G), inary report, A-55. A-459. GLENN, Paul G. Realization of cohomology classes by GRATZER, G. Transferability of lattices, A-613. torsors under hypergroupoids, A-519. GRATZER, G. and KELLY, D. On the product of lattice GLOVER, Henry H. See DECKER, Richard W. varieites. II, A-226. GWVER, Joseph. Compactifications of dual processes. GRATZER, G. and QUACKENBUSH, R. W. Congruence Preliminary report, A-153. lattices of tensor products of lattices, A-484. GODSIL, Chris. GRR•s for simple groups, A-36; GRR's GRATZER, G. and WHITNEY, s. Jnfinitary varieties of for finite groups. Preliminary report, A-269. structures closed under the formation of complex struc GOES, GUnther W. Multipliers for Hardy spaces and tures, A-224. BMO, A-108. GRATZER, G., LAKSER, H., and QUACKENBUSH, R. W. GOH, B.s. Stability of a nonlinear delay difference equa On the lattice of quasivarieties of pseudocomplemented tion in population biology, A-622. distrilntive lattices, A-350. GOLDBERG, Donald Y. A generalized weight for linear GRAVES, William H. A decomposition theorem for vector codes and a Witt-MacWUliams theorem, A-171. measures on a Boolean algebra, A-81. GOLDBERG, Michael. Some overlooked convex polyhedra GRAY, Bob. Classes of K-character and K-prenex uni space-fillers, A-359; On the dodecahedral space-fillers, versal sentences, A-15. A-536. GRAY, Lawrence. Translation invariant spin-flip pro GOLDBERG, Moshe s. Ockham algebras as a reflective cesses, A-543. subcategory of bounded distributive lattices. Preliminary GRAY, Leonard J. and KAPLAN, Theodore. Elementary report, A-421. excitations in disordered alloys, A-165. GOLDBERG, Seymour and BART, Harm. Characteriza GRAYSON, Daniel R. Localization inK-theory and alge tions of almost periodic strongly continuous groups and braic cycles, A-516; Localization for flat modules, A-629. semigroups, A-534. GREEN, Edward L. Complete Intersections and Goren GOLDSMITH, Donald L. and WHITE, Arthur T. On graphs stein ideals, A-54; On the indecomposabillty of amalga with equal edge connectivity and minimum degree, A-40. mated sums. Preliminary report, A-261. GOLDSTEIN, Jerome A. The exact amount of nonunique GREEN, James A. and TAFT, Earl J. Hopf algebras with ness for the Euler-Poisson-Darboux equation, A-101. one-sided antipodes. Preliminary report, A-60. ---. See BURCH, B. C. GREEN, Judy. American women in mathematics-the first GOLIGHTLY, George. Shadow and inverse-shadow inner Ph.D. •s, A-22. products for a class of linear transformations. Preliminary GREEN, William L. Distal semigroups of *-endomor report, A-376. phisms of von Neumann algebras. Preliminary report, GOLUBITSKY, Martin and SCHAEFFER, David. An analy A-378. sis of imperfect bifurcation via singularity theory, A-327. GREENBERG, William. Quantum potentials and the micro GONyALVES, J. V.A. A note on the existence of solutions canonical entropy, A-166. for nonlinear elliptic equations, A-356. ---. See DIETZ, David. GOODEARL, K. R. and WARFffiLD, R. B., Jr. State GREENE, Curtis, NIJENHUIS, Albert, and WILF, Her spaces of Grothendieck groups of rings. Preliminary re bert. A probabilistic proof of the hook formula for young port, A-63. tableaux, A-221. GOODMAN, A. W. Koebe domains for certain classes of GREENE, R. E. The infinite dimensionality of complex functions. Preliminary report, A-83. structures. Preliminary report, A-87. GOODMAN, Frederick M. Closed * derivations in C (I), GREENE, R. E. and WEINTRAUB, Steven. Metrics hav C(T), and Co(R). Preliminary report, A-492. ing a fixed group action as full isometry group, A-623. GOODMAN, GeraldS. N-functions and integration by sub GREENE, R. E. and WU, H. The Bergman metrlcs of stitution, A-79. negatively curved K!thler manifolds, A-402. GOODMAN, Nicolas D. The logic of contradiction. Preli GREENLEAF, Frederick P. See CORWIN, Lawrence. minary report, A-24. 2 GREGORY, John and WILKERSON, Ralph. Numerical GOODMAN, Sharon. Distinguished subspace theory of L eigenvalues for second order differential equations, of Heisenberg nllmanifolds, A-88. · A-160. A-748 GRIFFEATH, David, Recent results for discrete time HAALAND, Perry, BROCKETT, Patrick L, and LEVINE, particle systems, A-542, Arnold, A characterization of information divergence with ---. See BRAMSON, Maury, applications to questionnaire analysis, A-403, GRIFFITH, Walter L, , Jr, A vanishing theorem for HABER, Seymour. Error bounds for some quadrature H*(SL/B, L), A-514, formulas, A-329, GRIGGS, Jerrold R. and WEST, Douglas B, Extremal HABIB, Anwar. See WAF!, Abdul. values of the Interval number of a graph, Preliminary HADWIN, D. W., NORDGREN, E, A., RADJAVI, H. report, A-34. and ROSENTHAL, Peter. An operator not satisfying GRINSTEAD, Charles M. Toroidal graphs and the strong Lomonosov's hypothesis, A-589, perfect graph conjecture, Preliminary report, A-32, HADWIN, Donald, Nonseparable approximate equivalence. GRINSTEIN, Georges G. The distribution of the zeros of Preliminary report, A-8. the Lerch zeta function, A-47. HAGER, William W. Duality, regularity, and approxima GRISPOLAKIS, Joachim. ContractibUity and weakly con tion of state constrained control problems, A-535. fluent mappings into ANRs, A-609, HAGLER, James and SULLIVAN, Francis. Weak* se GRISPOLAKIS, J. and TYMCHATYN, E. D, Embedding quential compactness of the dual of a smooth Banach smooth dendroids in hyperspaces, Preliminary report, space, Preliminary report, A-590, A-16; Continua which are images of weakly confluent map HAHN, Alexander J, Isomorphisms of integral orthogonal pings only, A-2Q.6; A universal smooth dendroid, A-364; groups, A-265, A hyperspace characterization of Class (W), A-445, HAHN, Marjorie G, The generalized domain of attraction GROETSCH, C. W. Error bounds for approximations to of a Gaussian law on Hilbert space, Preliminary report, the generalized Inverse, Preliminary report, A-123. A-296, GRONSKI, Jan M. A criterion for classifying certain pla HAIMO, Franklin and TRETKOFF, Marvin, Free groups nar systems, A-663, as Integer arrays, A-577. GROOMS, Ronald G, See FEINBERG, Robert B. HAJEK, Otomar. Generalized inverses of unbouded opera GROSS, Benedict H. Tamagawa numbers of abelian varie tors. Preliminary report, A-231; On Hautus• controllabil ties with complex multiplication, Preliminary report, ity criterion. Preliminary report, A-595, A-512. HALES, R. Stanton. Binding number of two strong car GROSS, Fletcher, Infinite permutable groups, A-392. tesian graph products, A-697. GROSS, Jonathan L, and LOMONACO, Samuel J., Jr. HALL, Leon M. Further extensions of Lettenmeyer•s Toroidal Cayley graphs for metacyclic groups, A-269, theorem. Preliminary report, A-94. GROSS, Kenneth B. See ANDERSON, Bruce A. HALLAM, Thomas G, See GARD, Thomas C. GROSSMAN, Nathaniel, Focal points in the geometry of HALMOS, P, R. Bounded Integral operators, A-124, solutions of Poisson's equation, A-359; An embedding of HALPERN, Fred. Robinson 1 s consistency theorem for s2 into E3 which uniformaly moves outward into smaller game quantifier logics, A-26, area, A-438. HAMEDANI, G. G. On the existence of periodic boundary GROVER, Carole L. Commutator conditions for local sol condition for certain nonlinear vector differential equation, vability of partial differential operators with multiple cha A-93, racteristics, A-102, HAMILTON, Eugene P, Antiderivatlves and potentials GRUENHAGE, Gary, Stratifiable u-discrete spaces are of local differential operators, A-317. M1 , A-142; On closed Images of orthocompact spaces, HAMLETT, T, R. The topology of 6-convergence is the A-669, semiregular topology associated with (X, T). Preliminary ---. See DAVIS, S. W, report, A-137. GRUNBAUM, Branko and SHEPHARD, G. C, The theo HAMMER, J, See DAY, B. J, rems of Euler and Eberhard for tilings of the plane, A-131; HANDEL, Michael, Local structure of one-dimensional Patterns in geometry and combinatorics, A-276; Geometry minimal sets and the Seifert conjecture, A-368, of fabrics, A-462; Rigidity of polyhedra, frameworks and HANF, William P, The Boolean algebra of sentences of cabled frameworks, A-642, first-order logic, A-462, GRUNBAUM, F. Alberto, See DAVISON, Mark. HANGES, Nicholas. Propagation of singularities for GUADALUPE, Irwen V. Submanifolds of Euclidean spaces operators with noninvolutive characteristics, A-527. with parallel mean curvature vector, Preliminary report, HANLON, Phil, The enumeration of labelletl. and unlabelled A-438. line graphs, A-27. GUASPARI, David, Wadge degrees in L. Preliminary HARARY, Frank and ROBINSON, Robert W, Isomorphic report, A-441, Ramsey numbers, A-37. GUBERMAN, Joseph. On a possible antinomy In Proposi HARBIN, Mickie Sue. Toward infinitely many q-equiva tion *51.22 of Principia Mathematica, Preliminary report, lence classes of nonsplitting unitary perfect polynomials A-250. over GF(q). Preliminary report, A-351, GUCCIONE, S, J, See STANOJEVIC, C. V. ---. See BEARD, Jacob T, B., Jr. GUGGENHEIMER, H. Polar reciprocal convex bodies, HARBORTH, Helko. Divisibility of i'ff> by m(m-1) • • • A-495, (m-h +1), A-229. GUILLOT, J. C. See WILCOX, Calvin H, HARBORTH, Heiko and MENGERSEN, Ingrid, Arrange GUPTA, Hansraj, A new look at the permutations of the ments of straight lines with maximal number of regions first n natural numbers. Preliminary report, A-479, bounded by four lines, A-496, GUPTA, Murli M. and MANOHAR, RamP, Direct solution HARDEGREE, Gary M. A variety of semilattices which of the biharmonic equation using noncoupled approach, generalize orthomodular lattices, A-41. A-245; On the use of central difference schemes for Navier HARDY, Bonnie. See CHOUINARD, Leo, Stokes equations, A-358; A critique of a second order up HARDY, George, Further results involving (k,r)-free wind scheme for viscous flow problems, A-494; Boundary Integers, A-578, approximations and accuracy in viscous flow computations, HAR 1EL, Zv!. Projective mappings and distortion theo A-597, rems, A-454, GUREL, Okan. Bifurcation of limit cycles with stability HARMAN, C. J, A model for analytic functions in the of the second level to toroidal surface, A-328, discrete polar plane, A-489, GUREVICH, Yurt. Monadic topology of scattered chains HARRINGTON, L. See PARIS, J. is decidable, A-247, HARRINGTON, Leo and SHELAH, Saharan. Exact equi GURGANUS, Kenneth R. iii-like polynomial approximation, consistency results, A-602, A-84;4i-like subordination chains, A-657, HARRIS, Gary A. Higher order analogues toT. C,R, equa GURTIN, Morton E, On the foundations of continuum ther tions for smooth real submanifolds of cvn with C,R, sin modynamics, A-547. gularity, Preliminary report, A-86, GUTIERREZ, Mauricio A. Simple extensions for groups, HARRIS, T. E, Random flows in ~ determined by diffu Preliminary report, A-540. sion systems, Preliminary report, A-444; Random flows GUTIERREZ-NOVOA, L!no, Non-Euclidean real numbers. In the plane constructed from consistent sets of diffusions. Preliminary report, A-44. Preliminary report, A-542; Random flows in the plane A-749 constructed from consistent sets of diffusions. III. Pre HERRERO, Domingo A. and FIALKOW, L. A. Charac liminary report, A-605, terization of operators having local similarity cross sec HARRIS, William A. Logarithmic solutions of linear dif tions, A-357. ferential systems with a singularity of the first kind, HERRERO, M. A. Instantaneous shrinking of the support A-617. for the solutions to some nonlinear parabolic equations. HARRISON, Gary. Global stability of predator-prey in Preliminary report, A-593, teractions, A-621. HERRMANN, Robert A. Generalized closedness, A-135; HARTIG, Donald G. Functors on compact pairs, A-121. Maximum one point near-compactifications, A-253; A HARVEY, W. J, Group-theoretic properties of discrete nonstandard approach to S-closed spaces, A-364; General groups, A-635, ized continuity and generalized closed graphs, A-445; HASSON, Maurice. Approximation lacunary polynomials, 8-rigidity and the idempotent 8-closure, A-538, A-315, HERSHBERGER, B. L. See McDONALD, B. R, HASTINGS, Alan, The effect of disturbance and predation HETHCOTE, H. W,, STECH, H. W., and VANDEN on competitive systems. Preliminary report, A-621. DRIESSCHE, P. Nonlinear oscillations in epidemiology. HASTINGS, Harold M. See CALDER, Allan. Preliminary report, A-621, HAYES, Linda J. A numerical technique for parabolic HEWITT, Edwin, See BROWN, Gavin. equations with nonlinear capacity terms. Preliminary HEYDEMANN, Marie-Claude. See BERMOND, Jean report, A-373. Claude. HAYS, John. Panalgebras and spanalgebras. Preliminary HICKS, Troy L, Fixed point theorems In locally convex report, A-163; 0-switching algebra and o-.logic gates for spaces, A-126. o-fuzzy subsets. Preliminary report, A-438, HIGGINS, John C. Quotient group topologies for topologi HAZLEWOOD, Donald G. Large sieve inequality for al cal semigroups, A-74. gebraic number fields. Preliminary report, A-45, HILGERS, J, W. and RALL, L. B. Computable error HEAL, E. R. See CORAY, Chris. bounds for the Nystrtlm methods, Preliminary report, HEATH, Larry F. and SUFFRIDGE, Ted J. Convex A-459, Frechet differentiable map of the unit ball of C (X) into HILL, C. Denson. See MacKICHAN, Barry. C(X), A-115, HILL, Richard 0,, Jr. A natural algebraic Interpreta HEATH, Robert W. Some homogeneity questions. Preli tion of the group cohomology group Hn(Q;A), n!;; 4, A-351. minary report, A-670, · HILL, Theodore P. Positive frequency and a zero-one HEATHERLY, Henry E. Negative D. G. near rings. Pre law. Preliminary report, A-149. liminary report, A-59. HILLER, Howard L. Cohomology of real grassmanians. HEATHERLY, Henry E. and STONE, H. Edward. Boolean Preliminary report, A-540. near-rings. I. Preliminary report, A-372; Boolean near HILLMAN, Jonathan A. Alexander ideals of classical rings, II. Preliminary report, A-372; Boolean near-rings. links, A-17; Localizing the Blanchfield pairing for links. III. Preliminary report, A-479. Preliminary report, A-256; Homology boundary links. HEDETNIEMI, Stephen. See ALLAN, Robert B. Preliminary report, A-709. HEEREMA, Nickolas, Higher derivation Galois theory HILL-TOUT, Barry W. and McCRORY, Clint G. Cellu of fields, A-512, lar homology by degree, A-710. HEIBERG, Charles. Fourier series with bounded convo IDLTON, Peter. On free maps and free homotopies, lution powers, A-531; Limits of norms of powers of abso A-299, lutely convergent Fourier series In several variables, HINDMAN, Nell. Partitions and sums and products of A-713. integers. II. Preliminary report, A-28; On n-coloring HEINZER, William, See GILMER, Robert. n n-sets. Preliminary report, A-575; The nonexistence HEITMANN, Raymond C. Examples ofnoncatenary rings, of simultaneous idempotents In ,3N\N, A-612, A-371. HINDMARSH, Alan C. and BYRNE, George D, Two ODE HELLERSTEIN, Simon and WILLIAMSON, Jack, Zeros of solvers: GEAR and EPISODE, A-400, the second derivative of the reciprocal of an entire func HINTON, Don. An expansion theorem for an eigenvalue tion. Preliminary report, A-634, problem with eigenvalue parameter in the boundary condi HELTON, J, William. Operator theory and electrical en tion, A-90. gineering, A-127. HffiEMATH, V. A. On duals of some notions in module HEMPEL, John. Intersection calculus on surfaces with theory, A-4; On coflnitely projective modules, A-222. applications to 3-manifolds, A-389. HffiSCH, Morris W. On the history of manifolds, A-23, HENNAGIN, Stephen C. Computation of eigenvalues for HmSCH, Morris W. and SMALE, Stephen. On algorithms operator equations, Preliminary report, A-160, . for solving f(x) = 0, A-544. HENNEFELD, Julien. M-ideals, HB-subspaces, and com HffiSCHHORN, PhilipS, The "stable" homotopy type of pact operators. Preliminary report, A-631. the complements of knots and links, A-649, HENNEY, Dagmar. On a conjecture by Richard Bellman, HffiSCHHORN, PhilipS, and RATCLIFFE, John G. Alge A-501, braic unknotting of spheres in codimension two, A-541. HENRY, M. S. and ROULIER, J,A, Geometric conver HITT, L. R. Examples of higher dimensional slice knots gence of Chebyshev rational approximations: factorization which are not ribbon knots, A-387. of the derivatives. Preliminary report, A-107. HO, Aggie. The Radon-Nikodym Property and weighted HENRY, M. S, and TAYLOR, D. C. Product approxima trees in Banach spaces, A-616. tion in a continuous field of Banach spaces. Preliminary HO, James K. Structured linear programs and energy report, A-106. modeling, Preliminary report, A-549, HENRY, Myron S. On the order of the strong unicity con HOCHSTADT, Harry. An inverse problem for a Hill's stant. Preliminary report, A-373, equation, Preliminary report, A-91, HENSLEY, Douglas. Slicing the cube In Rn and probability, HOCHSTER, Melvin. Singularities of F-pure type and A-246, rational singularities, Preliminary report, A-272. HENSON, C. Ward, See BECKER, Joseph. HODEL, R. E, The number of closed subsets of a topo HENTZEL, lrvin R. Alternators of a right alternative al logical space II, A-135, gebra, A-66. HODGES, Wilfrid, Effectivity questions on groups and HENTZEL, lrvln R. and SMITH, Harry, Derivational rings, A-600, ternator rings with idempotent, Preliminary report, A-66, HOFFMAN, David and OSSERMAN, Robert, The geometry HERDMAN, Terry L, Behavior of noncontinuable solu of the generalized Gauss map, A-462. tions of a retarded differential equation, A-525, HOFFSTEIN, Jeffrey, Tatazawa•s theorem revisited, HERMANN, Robert. Limits of solutions of matrix Riccati Preliminary report, A-49, equations and the Lie theory of vector fields on Grassman HOLLAND, Charles J. The principal eigenvalue for second nians, A-554, order linear elliptic equations with Neumann bowrlary con HERRERO, Domingo A. Closure of similarity orbits of ditions, A-104, EBQT operators, A-488; Possible structures for the set of HOLLEY, Richard A, See STROOCK, Daniel W. cyclic vectors. Preliminary report, A-593, HOLLISTER, H.A. See GLASS, A.M,W, A-750 HOLMES, f. P. See SAGLE, A. A. INGLIS, Ian R. See de MICHELE, Leonede. HOLSZTYNSKI, W. Rn as a universal metric space, A-367. INGO LFSSON, Ketill. On a partially isometric mapping HOLSZTYNSKI, W., LAVER, R. and MYCIELSKI, Jan. determining semidefinite metric in quantum mechanics, The existence of some closed sets, A-367. Preliminary report, A-322. HOLTON, Derek A. and WATKINS, Mark E. Tournament IRWIN, Caulton L. Convergence properties of an algorithm regular representations of infinite groups. Preliminary for calculation market equilibrium, A-549. report, A-39. ISAACS, Godfrey L. Exponential laws for fractional dif- HOOBLER, Raymond T. Extensions of Chase's modular ferences. Preliminary report, A-373. _, Galois theory. Preliminary report, A-514. ISAACSON, David. The scaling limit of I.Pif is Brownian HOOSHYAR, M. A. Construction of spin-orbit potentials, motion on the surface of a sphere, A-323. Preliminary report, A-547. ISH-SHALOM, Ariel. Generalized system normalizers HOOVER, D. N. Further results on the probability logic of finite solvable groups,A-278. Lw1P, A-444; Structure of probability models, Part 1. ISMAIL, Mourad E. M. Polynomials of binomial type and Uniform sets in hyperfinite models, A-498; Structure of approximation theory, A-529. probability models. Part 2. An isomorphism theorem, ISMAIL, Mourad E. H. and TAMHANKAR, M. V. Combi A-600, natorics and positivity, A-286, HOWARD, F. T. Associated Stirling numbers, A-651. ITO, Takashi. On uniqueness of preduals, A-294. HOWE, Roger E. and MOORE, Calvin C. Asymptotic be IVANSHS, I. See HUSCH, L. S. havior of matrix coefficients of unitary representations, IZE, Jorge. Periodic solutions of nonlinear evolution A-77. equations on a Banach space, A-396. HOWES, F. A. Singularly perturbed semilinear systems. JACKSON, Bill. Cycles in bipartite graphs. Preliminary Preliminary report, A-615. report, A-418; Removable cycles in 2-connected graphs of HOYT, William L. Meromorphic 2-forms on elliptic sur minimum degree at least four. Preliminary report, A-478. faces. Preliminary report, A-515. JACKSON, Bradley W. The fundamental group of a group. HOYT, William L. and KENT, Michael J. Periods of Preliminary report, A-541. some elliptic integrals. Preliminary report, A-712. JACKSON, D. E. See ENTRINGER, R. C. HSIANG, W. C. and STAFFELDT, R. E. Invariant theory JACOB, Bill. Model completeness and decidability of and pseudo-isotopy spaces. Preliminary report, A-446. some hereditarily-Pythagorean fields. Preliminary report, HSIEH, Po-Fang. An existence theorem for nonlinear or A-602. dinary differential equations at an irregular type singularity, JACOBOWITZ, Howard. Curvature operators on the ex A-91. terior algebra, A-303. HUANG, Ter-Jenq, On existence of discontinuous almost JACOBS, Marc Q. Controllability and stabilizability of periodic functions on topological groups. Preliminary re linear systems. Preliminary report, A-536, port, A-110. JAFFE, Arthur M. Introduction to gauge fields, A-321; HUBBARD, John H. The space of projective structures on Singular Yang-Mills fields, A-548. a compact surface, A-639. JAIN, N. and OREY, Steven. Old and new questions on HUDSON, W.N. See BROCKETT, P. L. limit theorems for sums of independent random variables, HUEBSCHMANN, Johannes, Crossed n-fold extensions. A-297. Preliminary report, A-6. JAMES, Donald G. Unitary groups over local rings. Pre HUFFMAN, W. Cary. Linear groups generated by ele liminary report, A-261. ments containing an eigenspace of codimension two. Pre JAMES, Helen H. See GOULD, Matthew I. liminary report, A-73. JAMES, Ralph L. Korovkin sets and subspaces with pro HULLINGER, Harlan L, Stable equivalence and rings perty U, A-107, whose modules are a direct sum of finitely generated JAMES, Robert C. The Krein-Milman and Radon-Nikodym modules, A-64. properties for Banach spaces, A-616. HUMI, Mayer. Symmetry principles for integrodifferential JAMISON, James E. See FLEMING, Richard J. equations. Preliminary report, A-164. JAMISON, Robert E. Openness of affine maps between HUMKE, Paul D. Some notes concerning u-porous sets. compact convex sets. Preliminary report, A-7. Preliminary report, A-634. JANI, Mahendra. Induced shape fibrations and fiber shape ---. See BELNA, C. L. equivalence, A-499, HUMPHREYS, James E. Representations of semisimple JANOS, Ludvik. Topological dimension as a first-order Lie algebras, A-65. theory, A-24; Similarity semiflows on metric spaces, HUNEKE, John Philip. See DECKER, Richard W. A-257; The functional equation f[a(t,x)] ~ ctf(x) on dynami HUNEYCUTT, James E., Jr. See FAULKNER, Gary D. cal systems, A-366; A group-theoretic version of the con HUNSAKER, Worthen and LINDGREN, William. Bitopologi tinuum hypothesis, A-440. cal spaces with a unique quasi-proximity. Preliminary re JANOS, Ludvik and SOLOMON, J. L, A fixed point theorem port, A-137. and attractors, A-130. HUNT, L. R. Controllability of general nonlinear sys JANOWITZ, M. F. Continuous cluster methods, A-41. tems. Preliminary report, A-596, JEFFCOTT, Barbara. See SPEARS, William T. HUNT, L, R. and KAZLOW, Mike. A two-sided H. Lewy JEFFERSON, Thomas R. and SCOTT, Carlton H. Duality extension phenomenon, II. Preliminary report, A-85; A theory for quasiconcave programs with explicit constraints, two-sided H. Lewy extension phenomenon. I, A-87; Silov A-493. boundaries of algebras of CR-functions. Preliminary report, JELTSCH, Rolf. Complete characterization of multistep A-523. methods with an interval of periodicity for solving HUNTER, Roger. See ARNOLD, David. y" ~ f(x,y). Preliminary report, A-12, HURLEY, James F. Orders in simple Lie algebras of ---. See FRIEDLI, Armin. Chevalley type, A-67. ~ , JENKINS, James A. On the representation and compacti HUSCH, L. S. and IVANSIC, I. Embeddings and concor fication of Riemann surfaces, A-659, dances of embeddings, A-140. JENKINS, Terry L. See OLSON, Dwight M. HWANG, J. S. On two problems of Doob about the ranges JENSEN, Gary R. Deformation of holomorphic curves in of analytic functions. Preliminary report, A-429. complex Grassmannians, A-641. JANUS, Stere. C-R structures on f-manifolds. Prelimi JENSEN, Ronald B. and KOPPELBERG, Bernd J. A note nary report, A-500. on ultrafilters. Preliminary report, A-250. !LAMED, Yehiel. On identities for matrix rings and JENSON, Richard A. A double circulant presentation for polynomials orthogonal to their arguments. Preliminary quadratic residue codes, A-30. report, A-228; Heisenberg algebras, n-Lie algebras and JERNIGAN, Robert and TURNER, John C. Deriving alternating polynomials that are central. Preliminary re parameter bounds for a stochastic ecological model. Pre port, A-424. liminary report, A-157. INFANTE, E. F. and TSEN, F.S.P. A characterization JEROSLOW, Robert G. A limiting Lagrangean for in of neutral linear difference-differential equations which finitely-constrained convex optimization in Rn. Preli are asymptotically stable globally in the delays, A-529, minary report, A-436; A limiting Lagrangean. II, A-598. A-751 JEROSLOW, Robert G. See BLAIR, C. E. KANNAN, R. Stochastic approximation and random non JEWETT, Robert I. Analytic convolution spaces, A-460. linear operator equations, A-153. JOCKUSCH, C. G. and POSNER, D. B. Automorphism KANNAPPAN, PL. A mixed theory of information- IV: bases for the degrees of unsolvability, A-386. Inset-inaccuracy and directed divergence, A-596. JOHN, David J. Residual finiteness and "free" distribu ---. See ACZEL, J. tively generated near-rings. Preliminary report, A-654. KANNAPPAN, Pl. and RATHIE, P. N. Remarks on sum JOHNSON, David L. A kernel representation theorem, representation functional equations, A-104. A-109. KANNAPPAN, Pl., KAMINSKI, A. and MIKUSrNsKI, J. JOHNSON, David L. and LAHR, Charles D. Multipliers Distributional solutions in information theory, A-104. of tensor products of CMA•s and Radon-Nikodym deriva KANUNGO, Pusparaj. On pencils of curves of genus tives, A-109; Weak approximate identities and multipliers, three. Preliminary report, A-289. A-457. KAPLAN, Aroldo. See CATTANI, Eduardo. JOHNSON, Ellis L. Facets, subadditivity, and duality, KAPLAN, Theodore. See GRAY, Leonard J. A-520. KAPOOR, G. P. and GOPAL, K. On the mean value JOHNSON, Gerald and SKOUG, David. An L_p analytic related to functions analytic in the unit disc, A-488. Fourier-Feynman transform, A-111. KAPPE, Luise-Charlotte. Groups with a cyclic term JOHNSON, Jasper. Noncomplementation of some spaces in the lower central series, A-268. of compact operators, A-231. KAPPE, Wolfgang P. A special class of Lagrangian JOHNSON, Jerry and WOLFE, John. Another renorming groups, A-268. of c0, A-488. KARLOF, John and DOWNEY, Charles. Odd [M,3] group JOHNSON, Kenneth D. and KORANYI, Adam. Poisson codes for the Gaussian channel, A-554. integrals on bounded symmetric domains. Preliminary re KARTSATOS, Athanassios G. The forced equation oscil port, A-403. lates if and only if the unforced equation oscUlates. Order JOHNSON, Marjory J. Overhead requirements for a n = even, A-96; On the asymptotic relationship between topology information update scheme for a distributed compu two equations in Banach space. Preliminary report, A-584. ter network. Preliminary report, A-597. KARUNAKARAN, V. See SRINIVASAN, B. R. JOHNSON, Roy A. Extending the product of two regular KATO, Tosio. On the Korteweg-de Vries equation, A-395. Borel measures, A-79. KATZ, E. Twisted free tensor products. Preliminary re JONAH, David. See KONVISSER, Marc. port, A-539. JONES, Charles A. and LAHR, Charles D. Multipliers KATZ, I. Norman. Hierarchical finite element analysis. of Banach algebras and unbounded approximate identities, Preliminary report, A-545. A-110. KAUFFMAN, Louis H. Hypercomplex singularities. Pre JONES, John, Jr. Approximation of zeros of functions. liminary report, A-300; Handlebody presentations of Preliminary report, A-162; Solutions of nonlinear elliptic branched coverings. Preliminary report, A-716. differential inequalities. Preliminary report, A-544. KAUFMAN, R. Bernoulli convolutions and differentiable JONES, Lowell E. See FARRELL, F. Tom. functions, A-457. JONES, Marsha Finkel. Coherence and torsion theories. KAY, Alvin J. Determinantal and product integral solu Preliminary report, A-278. tions of nonlinear Volterra integral equations. Preliminary JONES, Patricia and LIGH, Steve. Quasi ring-semigroups, report, A-112. A-73. KAZDAN, Jerry L. See KRAMER, Richard J. JONES, R. L. See ASH, J. M. KAZLOW, Mike. See HUNT, L. R. JONSSON, B. See BIRKHOFF, G. KEAGY, Thomas A. Summabllity of matrix transforms of J6NSSON, Bjarni and McKENZill, Ralph N. Powers of subsequences. Preliminary report, A-357. partially ordered sets. Preliminary report, A-223. KEANE, William J. Imbedded N-high subgroups of JORDAN, G. S. A nonlinear Volterra integrcdifferential abelian groups. Preliminary report, A-570. equation. Preliminary report, A-113. KEARFOTT, R. Baker. An advance in machine estima JORDAN, James H. Sex differences in the visualization tion of numbers of fixed points. Preliminary report, A-159. of number, A-172. KEHAYOPULU, Niovi. Intra-regular le-semigroups. JORGENSEN, Palle E. T. Approximately invariant sub Preliminary report, A-426; On A-752 KETKAR, R. D. See VANAJA, N. KOMKOV, Vadim. Internal variable approach to classi- KETKAR, R. D. and VANAJA, N. R-projective modules cal thermodynamics. Variational principles. Preliminary over a semiperfect ring, A-347. report, A-245; Quaternion algebra and variational prin KHAMBADKONE, Meera N. On the structure of augmenta ciples of mathematical physics. Preliminary report, A-401. tion ideals In group rings. Preliminary report, A-480. KONHEIM, Alan G. Queueing models for data communi KHAN, Huzoor H. On the degree of approximation by cations, A-163. weighted (IJl,ll'(h)) class, A-490. KONVALINA, John and KOSLOSKI, Rodney H. Circulant ---. See UMAR, Sarfaraz. quasi-Hadamard matrices, A-28. ---. See WAFI, Abdul. KONVISSER, Marc and JONAH, David. Abelian sub KHAN, Huzoor H. and UMAR, Sarfaraz. On the degree of groups and abelian automorphism groups of p-groups, approximation by A~-means, A-490. A-272. KHAN, Huzoor H. and.WAFI, Abdul. On the degree of KOPPELBERG, Bernd J. See JENSEN, Ronald B. approximation by matrix means, A-491. KORANYI, Adam. Boundary values of holomorphic func KHARAGHANI, H. Weak compactness and extreme com tions on symmetric domains. Preliminary report, A-314. pactness. Preliminary report, A-356. ---. See JOHNSON, Kenneth D. KIDWELL, Mark E. Counterexamples to a conjecture of KORENBLUM, Boris. Anaiytic functions of unbounded Stallings, A-607. characteristic and Beurling algebras, A-639. KILTINEN, John 0. Commutative rings with homomorphic KOSCHORKE, Ulrich. Planefields and 2-cod!mensional m-th power functions, A-53. foliations, A-259; Multiple points of Immersions, and KIM, H. W. and PEARCY, Carl M. Some extensions of the Kahn-Priddy theorem, A-608. Lomonosov's Theorem, A-431. KOSHELEVA, 0. M. Theorem on category of functors KIM, Jin Bai and LEE, Yong M. Fuzzy matrices, A-520. F(A,A). Preliminary report, A-573; Extensions of non KIM, K. H. and ROUSH, F. W. Nonnegative indecompos determined games. Preliminary report, A-703. able matrices, A-425; On the J-class of a product, A-695. ---. See KREiNOVIC, V. Ja. KIM, Pa!k K. Involutions on Klein spaces M(p,q). Pre KOSHELEVA, 0. M. and KRElNOVI~, V. Ja. On non liminary report, A-147. decomposability of some categories. Preliminary report, KIMBERLING, Clark. Complementary sets of positive A-573. Integers. Preliminary report, A-48. KOSLOSKI, Rodney H. See KONVALINA, John. KING, Henry C. and AKBALUT, s. Real algebraic sets KOSTANT, Bertram. On the Toda lattice and representa with isolated singularities, A-317. tion theory, A-329. KING, Stephen C. Isoclinism and nongenerators. Preli KOUMOULLIS, G. Some topological properties of spaces minary report, A-612. of measures, A-239. KINNEY, James and ALEXANDER, Charles C. Connectiv KOUTRAS, D.C. and RUST, A. E. Optimal acceptance ity and traceab!l!ty. Preliminary report, A-35. sampling schemes using the alpha failure model. Preli KIRCHMEYER, John F. On presentations of certain uni minary report, A-158. potent groups. Preliminary report, A-72. KOUTRAS, D. C. and TSOKOS, C. P. Bayesian analysis KIREMIDJIAN, Garo K. A nonlinear boundary value prob of the alpha failure mc;>del. Preliminary report, A-157. lem in deformation theory. Preliminary report, A-394. KRA, Irwin. Canonical mappings between TeichmUller KIRK, Ronald B. and LANGENHOP, Carl E. Symmetries spaces,A-633. of beads on a string. Preliminary report, A-30. KRACHT, Manfred and KREYSZIG, Erwin O. Bergman KIRKMAN, Ellen. See FUELBERTH, John. kernels for obtaining global results, A-487. KIRWAN, W. E. and PELL, Richard. Extremal properties KRALL, Allan M. The Bessel polynomial weight function, of a class of slit conformal mappings, A-658, A-592. KISHORE, Masao. The six smallest prime factors of an KRAMARZ, Luis. An iterative variant of collocation, odd perfect number, A-47. A-162. KISILEVSKY, Hershy. See CARROLL, Joseph. KRAMER, Richard. See ABIAN, Alexander. KITCHEN, J. W. and ROBBINS, D. A. Gelfand represen KRAMER, Richard J. and KAZDAN, Jerry L. Invariant tation of tensor products of Banach modules, A-114. criteria for existence of solutions to second order quasi KLAWE, MariaM. The cardinality of the set of invariant linear elliptic boundary value problems, A-526. means of an amenable semigroup, A-292; The dimension KRAUS, Jon E. Compact abelian groups of automorphisms of the set of Invariant means of a semigroup, A-531. of von Neumann algebras. Preliminary report, A-120. KLEIN, A. See BUONI, J. J. KRAUSS, Peter H. See CLARK, David M. KLEINBERG, E. On measurable cardinals and partition KREIMER, H. F. Abelian p-extensions. Preliminary re relations , A-5 06. port, A-518. KLEINSTEIN, Jerrold. See ROSENBERG, Alex. KREiNOVI~, V. Ja. A-theory of NF is decidable. Pre KLEITMAN, Daniel J. See WEST, Douglas B. liminary report, A-601; To what extent are nondetermined KNAPP, Anthony W. See ZUCKERMAN, GreggJ. sets close to determined ones? Preliminary report, A-703. KNILL, Ronald J. A fixed point theorem involving angle ---. See KOSHELEVA, 0. M. conditions, A-141. ---. See SINE, Robert. KNOPP, Marvin I. Heeke operators, A-522. KREiNOVIC, V. Ja. and KOSHELEVA, O.M. Probabi KNOPS, R. J. See LEVINE, Howard A. listic way to avoid Arrow's paradox. Preliminary report, KNORR, Wilbur. Archimedes and the pre-Euclidean pro A-703. portion theory. Preliminary report, A-503. KREISS, Heinz-Otto. Convergence properties of multi KNOX, Nathaniel. On maximal inverse subsemigroups of step methods for stiff ordinary differential equations. Tx, A-69. Preliminary report, A-401. KOBAYASHI, Yuji. An extension theorem of functionals of KREITH, Kurt. Removable singularities for generalized commutative semigroups. Preliminary report, A-21. PrUfer transformations, A-90; Nonlinear differential KOCHMAN, Stanley 0. Uniqueness of Massey products on equations with monotone solutions, A-616. the stable homotopy of spheres, A-648. KRENER, Arthur J. Formal martingale integrals. Pre KOHLER, Werner E. The rapid reaction of two chemical liminary report, A-543. species in the presence of weak random advection and mo KREYSZIG, Erwin o. On the power method for algebraic lecular diffusion. Preliminary report, A-326. eigenvalue problems, A-437; On an application of the bi KOHLMAYR, Gerhard F. Commutative Hausdorff topologi nomial distribution in numerical analysis, A-493. cal division algebras, A-9; A solution of Cantor's conti ---. See KRACHT, Manfred. nuum problem within GHdel-Bernays axiomatic set theory, KRffiGSMAN, Gregory. See CORLISS, George. A-329. KRffiTE, Thomas. Aspects of cyclic subnormal opera KOHN, J. J. Invariants of pseudoconvex hypersurfaces, tors, A-130. A-523. KRISHNAN, V. s. Categories of preordered spaces. Pre KOLESNIK, Grigori. On the order of L(S,X). Preliminary liminary report, A-668. report, A-349. KRISHNAPRASAD, P. s. On the geometry of linear pas ---. See CUSICK, T. W. sive systems, A-666, A-753 KROM, Melven, Matrix representations of finite automata. operators. Preliminary report, A-130, Preliminary report, A-622. LANDWEBER, PeterS, New applications of commutative KROM, Myren. Null spaces of linear differential opera- algebra to Brown-Peterson homology, A-650, tors, A-618, LANG, Serge. See KUBERT, DanielS. KRONSTADT, Eric P. Analytic structures for H00 of LANGE, Ridgley, Strongly analytic subspaces, A-535. certain domains in ~~:n, A-86. LANGENHOP, Carl E. See KIRK, Ronald B. KRONWITH, Stephen D. Convex manifolds of nonnegative ---. See RIVERA, Hernan. curvature, A-496, LANSKI, Charles. Unitary invariance in algebraic alge- KRUEGER, Robert J. Some results on linear delay in- bras. Preliminary report, A-61; Gabriel dimension in tegral equations, A-381. rings with involution, A-273. ---. See DAUER, Jerald P. LANTZ, David C. Loci in the spectra of commutative KUBERT, DanielS. and LANG, Serge. Independence of group rings. Preliminary report, A-577. modular units on Tate curves, A-511. LA ROCHE, Peter E. Effective Galois theory. Prelimi- KUELBS, J. See DUDLEY, R. M. nary report, A-443; Effective Galois theory. II. Preli- KUELBS, J. and PHILIPP, W. Almost sure invariance minary report, A-604. principles for partial sums of mixing B-valued random LARSON, David R. See GILFEATHER, Frank. variables, A-296. LARSON, Jean A. Some recent results in the study of the KUELBS, J. and ZINN, Joel. Some stability results for partition calculus. Preliminary report, A-27; The number vector valued random variables. Preliminary report, A-297. of one-generated finite dimensional cylindric set algebras. KULSHRESTHA, P. K. See PURI, P. Preliminary report, A-226. KUMAR, Sampath. On the starlikeness of certain holo- ---. See ERDOS, Paul. morphic functions. Preliminary report, A-240. LARSON, Roland E. A consumer mathematics course for KUNEN, Kenneth. A remark on {3N. Preliminary report, liberal arts students, A-173. A-259; Inhomogeneity of products of compact F-spaces. LASALLE, Margaret M. Orbits and attractors. Preli- Preliminary report, A-448. minary report, A-143. KURTZ, Douglas S. Weighted norm inequalities for the LASKAR, Renu. See ALLAN, Robert B. 1'-function. Preliminary report, A-108. ---. See THAS, J. A. KURTZ, Larry and WEINMAN, David. Eigenvalue esti- LATCH, Dana May, WILSON, W. Stephen, and THOMA- matas for a Sturm-Liouville problem, A-98. SON, Robert W. Simplicial sets from categories, A-143. KUSTIN, A. R. Locally power series algebras. Prelimi- LAU, Anthony Ta-Ming. Left amenability of the measure nary report, A-711. algebra of a locally compact semigroup, A-461. KUTKUT, Mahmoud M. Weak closure of the set of trans- LAU, August. Continuous homomorphic images of com- lates of an arbitrary contraction, A-487. pact 0-dimensional semigroups, A-76; Finite abelian KUTTLER, James R. Dirichlet eigenvalues, A-103. semigroups represented into the power set of finite groups, KUTTNER, B. and SAHNEY, B. On nonuniqueness of the A-223. order of saturation, A-398; Summability of interpolating LAU, Ka-Sing. and WElL, Clifford E. Differentiability polynomials. Preliminary report, A-460. via directional derivatives. Preliminary report, A-640. h.'DZMANOVICH, James. See FUELBERTH, John. LAUB, Alan J. Linear multivariable control. Numerical KYNER, Walter T. and ROSENBERG, Gary A. Inverse considerations, A-407. problems in neurobiology. Preliminary report, A-170. LAVER, R. See HOLSZTYNSKI, W. KYRALA, Ali. Transformation between relatively ac- LA VINE, Richard B. Decay of eigenfunctions and long celerated frames. Preliminary report, A-704. trapping for the Schrlldinger equation. Preliminary report, LADAS, Gerasimos. Sharp conditions for eventually posi- A-309. tive or negative solutions of delay differential inequalities, LAWRENCE, D. S. On nonmeasurable subsets of a Wiener A-702. measure space. Preliminary report, A-453. LADDE, Gangaram S. Oscillations caused by retarded LAWRENCE, James F. Lopsided sets and collections of perturbations of functional integra-differential equations, orthants intersected by convex sets, A-132. A-94. LAWRENCE, John. See BURRIS, Stanley. LA FRANCE, Jane. See WARNE, Ronson J. LAWRENCE, John and ZORZITTO, Frank. Nonnegative LAGARIAS, Jeffrey C. Signatures of units and congruences information functions. Preliminary report, A-428. (mod 4) in certain real quadratic fields, A-50; On comput- LAX, Melvin D. Obtaining approximate solutions of ran- ing the 4-rank of the ideal class group of a quadratic field, dom equations by means of the method of moments. Preli- A-452. minary report, A-154. LAGARIAS, Jeffrey C. and ODLYZKO, A. M. On the com- LAX, Peter D. and PHILLIPS, RalphS. The scattering putation of Artin L-functions, A-304, of sound waves by an obstacle, A-308. LARA, R. G. Complementary series representations of LAY, Terry L •. and WALSH, John J. ANR's admitting an GL(2,.91), where .91 is a central division algebra over a interval factor are Q-manifolds, A-367. nonarchimedean local fields, A-292. LAZAR, Aldo J. On scattered C*-algebras, A-590. LAHR, Charles D. See JOHNSON, David L. LAZARSFELD, Robert. Excess intersection of hyper- ---. See JONES, Charles A. surfaces in !Pn. Preliminary report, A-516. LAINE, Thomas P. An analytic proof of the product for- LEACH, Ronald J. Coefficients of close-to-convex func- mula for Hahn polynomials. Preliminary report, A-89. tions, A-660. LAIR, Alan V. Existence of weak solutions to a nonlinear LEBOWITZ, Joel L. Number of phases in ferromagnets, boundary value problem. Preliminary report, A-94, A-318. LAKSER, Harry. The lattice of quasi varieties of pseudo- LEE, Cheng-Ming. On the oscillatory behavior of certain complemented distributive lattices is not modular, A-228; derivatives. Preliminary report, A-637. The semilattice tensor product of projective distributive LEE, Tai-Chi. A boundary value problem arising in the lattices, A-483. flow of a viscous fluid. Preliminary report, A-97. ---. See GRATZER, G. LEE, Y. C. A Witt's theorem for unimodular lattices. LAKSHiviiKAN'FJ::iAIVI, V. See BERNFELD, S.R. Preliminary report, A=274. LAKSHMIKANTHAM, V. and LEELA, S, A technique in LEE, Yong M. See KIM, Jin Bai. stability theory of delay differential equations, A-96. LEELA, S. See LAKSHMIKANTHAM, V. LAKSHMIKANTHAM, V. and VAUGHN, R. L. Parabolic LEGG, David. A decomposition theorem for Riesz ele- differential inequalities in cones, A-102, ments in a C*-algebra, A-126. LAM, T.-Y. See ELMAN, Richard. ---. See ALLEN, G. D. LAMPE, William A. and MYERS, Dale. Free extension, LEINERT, M. See GRANIRER, E. E. equivalence and decidability, A-362. LEININGER, Charles W. Representations of relations of LANDAUER, Christopher. Distance enumerators for per- odd order on finite domains, A-604; Properties of rela- fect codes, A-330; Perfect codes in association schemes, tions of odd order on finite domains, A-706. A-508; Perfect packing theorems for groups, A-629. LEIPNIK, Roy B. Models for conflict in an interactive LANDGREN, John J. An application of the minimum prin- environment, A-616. ciple to the study of essential selfadjointness of Dirac LEITZEL, James R. C. Real quadratic function fields A-754 of genus g with regulator g + 1. Preliminary report, LIN, Jeng-Eng, Asymptotic behavior in time of the solu A-51, tions of three nonlinear partial differential equations, LENAGAN, T, H. Reduced rank in rings with Krull di A-9. mension, Preliminary report, A-60, LINDGREN, William, See FLETCHER, Peter. LENAHAN, Terrence A. Viscous centering force on a ---, See HUNSAKER, Worthen. fiber in a coating applicator, Preliminary report, A-546, LINIGER, Werner. See NEVANLINNA, Olavi, LENKER, Terry D, Caratheodory's temperature equa LINIGER, Werner and NEVANLINNA, Olavi. Contractive tions revisited, Preliminary report, A-164, one-leg methods for stiff ODE's II, A-400, LEONARD, Phlllp A, See ANDERSON, Bruce A. LIPMAN, Joseph. Some aspects of equisingularity on LEPOWSKY, J, and MILNE, S, Lle algebras and classi analytic varieties, A-273; Differentiable invariance of cal partition identities, A-330, multiplicity, Preliminary report, A-653, LERMAN, Manuel. Initial segments of the degrees below LIPMAN, Marc J. The linear index of a group represen o•. Preliminary report, A-506, tation, Preliminary report, A-69, LEROUX, Pierre, M!lbius categories, A-278, LIPSCHUTZ-YEVICK, Miriam. On the sequential and LESCHINE, Thomas M, A topology-like approach to com holistic modes of the notion of sequence, A-326; "Mention pleteness theorems for logics with restricted substitution, and Use", disguises as "Shown and Told" or "Displayed and A-25, Ranked" in the recognition of formal abstract entities, LEUNG, Dominic S, P. Classification of real forms of A-444, Hermitian symmetric spaces, A-537. LITHERLAND, R. A, See GORDON, C, MeA, LEUNG, Y. J, Successive coefficients of starlike and LITTLE, Charles H, C. and RINGEISEN, Richard D. An close-to-convex functions, A-289, additivity theorem for maximum genus of a graph, A-32. LEUNG, Yuk, See DUREN, Peter, LIU, C, L, and CHUNG, K, M. A generalization of Ram LEVINE, Arnold, See HAALAND, Perry. sey theory for graphs, Preliminary report,A-31, LEVINE, Howard A, and KNOPS, R.J, Some new upper LIU, Chung-Der, On almost-Hermite-Fejer interpolation, bounds for length of existence intervals for solutions of A-284, a class of nonlinear evolutionary equations, A-103, LIVINGSTON, A. E, and PFALTZGRAFF, J,A, Structure LEVINSON, H, See BUMBY, R. and external problems for classes of functions analytic in LEVINSON, H. and SILVERMAN, Ruth, A generalization an annulus, A-660, of property B. Preliminary report, A-263, LLOYD, Justin T. See BYRD, Richard D, LEVY, Ronnie, Bounded functions which do not extend. LOEBL, Richard I. Some remarks on matricial-con Preliminary report, A-500, vexity, A-533, LEWANDOWSKI, Z., LIBERA, R, J. and ZLOTKIEWICZ, LOMONACO, Samuel J,, Jr. Nonabelian error correcting E,J. Values assumed by Geller functions, A-233; Map codes. Preliminary report, A-12; The homotopy groups ping properties of a class of univalent functions with pre of knots, I, II, A-143, assigned zero and pole, Preliminary report, A-353, ---. See GROSS, Jonathan L, LEWIS, Albert C. The R. L. Moore School as a subject of LONERGAN, Francis D, An example of a nontrivial knot historical research, A-23. and the property p conjecture, Preliminary report, A-539. LEWIS, John L. Applications of a convolution theorem to LONGYEAR, Judith Q. If a Hadamard matrix of order 24 Jacobi polynomials, A-659, has character exactly 2, its transpose is known, A-222; LEWIS, Paul W. See BELL, Wayne C, There are 9 different skew-equivalent Hadamard matrices ---. See BILYEU, Russell G, of order 24, A-711, LEWIS, R. T, See ETGEN, G. J, LOPEZ, Manuel. An expansion theorem in certain LEWIS, Robert H. Two results concerning nilpotency and B*-algebras, A-10. cofibrations, Preliminary report, A-142. LORENTZ, G. G. See KEMPERMAN, J. H. B. LEWIS, Roger T, and ETGEN, G. J, The oscillation of LOURY, Glenn C. Inequality and altruism across genera elliptic systems, A-103, tions, A-551. LEWIS, Roger T. and WRIGHT, Lynne C. Conjugate LOVETT, Jane T. On the product formula for valuations points of vector-matrix equations, Preliminary report, of function fields in two variables. Preliminary report, A-586, A-453, LEWIS, Wayne, Stable homeomorphisms of the pseudo LUBBERS, David H. The Hankel autocorrelation, Pre arc, A-141. liminary report, A-661. LEWIS, Wayne and WALSH, John J, A continuous decom LUBKIN, Saul. Lifted p-adic homology with compact sup posltlon of the plane into pseudo-arcs, A-387, ports. Finite generation, A-628, LIBERA, R. J. See LEWANDOWSKI, Z. LUCAS, William F. Game theory: An overview and the LIBGOBER, Anatoly S, The decomposltlon of even-dimen n-person cooperative model, A-671; Some uses of game sional complete intersections into connected sums, A-327; theory in operations research, A-673, Levine's formula in knot theory and quadratic reciprocity LUECKING, Daniel H. Approximate factorization of law, A-717, H00 + C functions; Preliminary report, A-594, LIEB, Elliott H. Some mathematical problems in atomic LUECKING, Daniel and RUBEL, Lee A. Natural function physics, A-319, algebras, Preliminary report, A-285, LIEBERHERR, K, and SPECKER, E. Interpretations of LUEDEMAN, John K. and McMORRIS, F.R., and SIM, 2-satisfiable conjunctive normal forms, A-295, Soon-Kiong, Semigroups for which every totally irre LIEBLER, Robert A. The binary Specht modules as ducible S-system is injective, A-652, codes, Preliminary report, A-277, LUKE, Jon c. Models of bilipid vesicles, A-714. LIEM, Vo Thanh, Homotopy dimension of some orbit LUSKIN, Mitchell, A finite element method for first-order spaces, Preliminary report, A-451. hyperbolic systems, A-381, LIFSCHITZ, Vladimir. CTo is stronger than CTo!, A-250; LUTZER, D. J, See BENNETT, H.R. A conservative extension of HAc with theE-property, ---. See van DOUWEN, E. A-362; Semantical completeness theorems in logic and al LYNCH, James F. Complexity of sets definable by addi gebra, A-506, tion, A-363, LIGGETT, Thomas M, Random invariant measures for LYON, Herbert C, Torus knots in the complements of Markov chains, and independent particle systems, A-542, links and surfaces, A-498, LIGH, Steve. See JONES, Patricia. 1 LYSIAC, Paul L. See SPENCER, Domina Eberle, LIGHTBOURNE, James H,, m. Flow invariant sets for ~C GREGOR, T. H. See ABU-MUHANNA, Y. second order differential equations, A-95; Function space MACINTYRE, Angus, Generalized quantifiers in arith flow invariance for functional differential equations of metic. Preliminary report, A-386, retarded type, A-619, MacKICHAN, Barry and HILL, C. Denson, Unique con LIM, Teck-Cheong, Some results on fixed-point. Preli tinuation for some overdetermined systems of P. D, E. •s. minary report, A-434. Preliminary report, A-529, LIN, Charlotte. Recursively presented abelian groups. MACLEAN, D. W. Tables of values of the partition func Preliminary report, A-386, tion. Preliminary report, A-420; Residue classes of A-755 p(n) (mod 5k), A-511. solutions of optimal control problems. Preliminary re MAC NERNEY, J. S. Hermitian moment sequences port, A-131. correction, Preliminary report, A-427. MASTIN, c. Wayne. Harmonic mappings in two and tbree MacPHERSON, Robert. See FULTON, William, dimensions, A-85. MADYCH, W. R. On certain solutions of g*T= f. Preli MATE, Attila, A lower estimate for tbe achromatic num minary report, A-532. ber of irreducible graphs, A-418. MAGID, Andy R. Algebraic variety structures on analy MATHUR, K, K. See DIKSHIT, H. P. tic groups, A-389, MATIJEVIC, J.R. See ESTES, D. R. MAGID, Martin A, Isometric immersions between in MATSUMOTO, Yukio and VENEMA, Gerard A, A definite flat spaces witb Y'* a = 0, examples, Preliminary metbod for constructing exotic open 4-manifolds. Preli report, A-13; Isometric immersions between indefinite minary report, A-388. flat spaces with Y'*a= 0, Preliminary report, A-246, MATTHEWS, Manton and SUMNER, David, Hamiltonian MAGILL, K. D., Jr. Green's relations for semigroups properties in claw-free graphs, A-653, of continuous selfmaps. Preliminary report, A-73. MAULDIN, Dan, Borel parametrizations. Preliminary MAHER, David P. Combinatorics and modular forms, report, A-78. A-330. MAXSON, Carlton J. and SMITH, Kirby C. The centrali MAHFOUD, W. E. Characterization of oscillation of so zer of a group automorphism, A-62. lutions of the delay equation x(n)(t) + a(t)f(x(q(t))) = 0, MAXWELL, Charles N. Fixed-point-index for symmetric A-97, product maps of euclidean spaces. Preliminary report, MAHONEY, MichaelS. "By no other method•.. ": Leibni A-143. zian calculus and Newtonian mechanics in the Paris Aca MAY, Ralph M. See GERSTENHABER, Murray. demy of Sciences, 1690-1725, Preliminary report, A-503, MAYLAND, E. J,, Jr. See BRUNNER, Andrew. lViAKKAI, M. Full embeddings, A-219; There are atomic MAYNE, D. C. See BOGDAN, V. M. Nadel structores, A-604. MAYS, Michael E. Groups of square-free order are MAKOWSKY, J,A. Characterizing monadic and equiva scarce, A-519. lence-quantifiers, A-601. MAZHAR, S, M. An integrability theorem for power MALCOLMSON, Peter. Determining homomorphisms to series. Preliminary report, A-244. skew fields. Preliminary report, A-64, McADAM, Stephen. The splitting field of an irreducible MALITZ, J, Extensions of L A-756 and a theorem on recursive permutations, A-383. categorical theory. Preliminary report, A-361; Cover McLEAN, T. Bruce. See FUGATE, J. B. ing 2w with w1 disjoint closed sets, A-600; On generat McMASTER, Kirby M. Recurrent binary sequences from ing the category algebra and the Baire order problem, multiplicative random number generators. Preliminary A-645. report, A-622. MILLER, Douglas E. A selector for equivalence with McMORRIS, F. R. See LUEDEMAN, John K. G0 orbits, A-141. McNULTY, George F. A Burnside-style theorem for MILLER, Edward Y. See MANN, Benjamin M. equational classes. Preliminary report, A-26; Generating MILLER, J. G. Bifurcate killing horizons. Prelimi the variety of all lattice-ordered groups. Preliminary re nary report, A-167. port, A-392. MILLER, James Ernest. Convex starlike meromorphic McOWEN, Robert C. Fredholm theory of partial differen functions, A-522. tial equations on complete Riemannian manifolds. Preli MILLER, Keith. An optimal method for the X-ray re minary report, A-102. construction problem. Preliminary report, A-161. McROBBIE, M. A. Interpolation theorems for relevant MILLER, Robert N. and RINZEL, John. Computation logics, A-603. of periodic traveling wave solutions to the Hodgkin MEGIBBEN, Charles and SHIFLET, Angela B. fu-union of Huxley equations. Preliminary report, A-174. a countable number of pure, completely decomposable sub MILLER, Robert W. See TEPLY, Mark L. groups. Preliminary report, A-74. MILLER, Sanford S. and MOCANU, Petru T. Differen MEISTERS, Gary H. Global stability and Jacobian prob tial subordinations. Preliminary report, A-84. lems. Preliminary report, A-524. MILLER, Sanford S., READE, Maxwell 0, and MOCANU, MEKLER, Alan H. Model completions with a distinguished Petru T. The order of starlikeness of alpha-convex subset. Preliminary report, A-15. functions, A-8. ---. See EKLOF, Paul C. MILLER, Willard, Jr. See KALNINS, E, G. MELROSE, R. B. and SJOSTRAND, J. Singularities and MILLER, Zevi. Contractions of graphs: A theorem of energy decay in acoustical scattering, A-308. Ore and an extremal problem, A-30. MELVIN, Paul. Bordism ofdiffeomorphisms, A-450. MILLETT, Kenneth C. Embeddings of balls into con MENDELSOHN, N. S. See BENNETT, F. E. tractible manifolds, A-146. MENDEZ, C. G, The Sierpinski-Erdos and the Oxtoby MILLMAN, RichardS. See FEGAN, Howard D. Ulam theorems for some signa-ideals of sets, A-403. MILLS, Charles F. See van MILL, Jan. MENGERSEN, Ingrid. See HARBORTH, Heiko. MILLS, George. Some results on definable 1-types for MENZALA, Gustavo Perla. On classical solutions of a Peano arithmetic, A-363; Some bounds for the new Ram nonlinear evolution equation, A-238; On global classical sey numbers, A-425. solutions of a nonlinear wave equatim, A-701. ---. See ERDOS, Paul. MERCIER, Armel. On the sumLf(p)p::>x·p=a(k)• A-426. MILNE, S. See LEPOWSKY, J. MERKES, E. P. Partial sum subordination of univalent MILTON, Donna Beasley-. Unstable points in absolute functions. Preliminary report, A-656. retracts. Preliminary report, A-669. MERRIS, Russell. Pattern enumeration and Young dia MINDA, C. David. A sharpened form of the principle of grams, A-571. hyperbolic metric. Preliminary report, A-657. MERRIS, Russell and WATKINS, William. Elementary MINKUS, Jerome. On the branched cyclic coverings of divisors of transformations on tensor spaces, A-693. 2-bri<;lge knots. II, A-367; A construction for 2-bridge MERS, Robert C. Wreath products and converse of La knots and links, A-447; On 1rl(M2(k,h)) and the Alexander grange's theorem, A-72. polynomials of 2-bridge knots, A-609. MESEGUER, Jose. A Birkboff variety theorem for contin MINSKER, Steven. Maximizing functions for analytic uous ordered algebras. Preliminary report, A-482; Ideal diameter calculations, A-10; Area-splitting centroids, monads and Z-posets, A-579. Preliminary report, A-524. MESSER, Robert. See BROWN, Edward M. MIH-EMAD, B. On the representations of nilpotent Lie METAKIDES, George. See REMMEL, J.B. groups, A-355. METAKIDES, George and NERODE, Anil. Recursive con MISKIN, Valery V. Regular sets and semiregular points tent of field theory II. Preliminary report, A-361; Recur of closed maps. Preliminary report, A-18. sive content of field theory I. Preliminary report, A-385; MITCHELL, William J. Constructibility and large cardi Recursion theory on fields. I. Preliminary report, A-496; nals. Preliminary report, A-507. Recursion theory on fields. II. Abstract dependence. Pre MITTER, Sanjoy K. Duality for linear input-output maps. liminary report, A-599. Preliminary report, A-666. METROPOLIS, N., ROTA, Gian-Carlo and WHITE, Neil MillRA, Robert M. A mathematical model for nonlinear L. Partitions into chains of a class of partially ordered waves of spreading cortical depression. Preliminary re sets, A-42. port, A-170. METZGER, Thomas A. Automorphic functions and BMOA. MOCANU, Petru T. See MILLER, Sanford S. Preliminary report, A-630. ---. See READE, Maxwell 0. MEYER, Harold D. A representation for nonnegative solu MOEN, Courtney H. Intertwining operators on the meta tions of parabolic equations. Preliminary report, A-100. plectic group, A-278. MEYERSON, Mark D. and WRIGHT, Alden H. A new and MOHAMED, Saad and MUELLER, Bruno J, Decomposi constructive proof of the Borsuk-Ulam theorem, A-451. tion of dual-continuous modules, A-222. MHASKAR, H. N. Weighted analogues of Nikolski! type MOISHEZON, Boris. Global problems in the singulari inequalities. Preliminary report, A-586. ties theory, A-515. ---. See FREUD, Geza. MOLLIN, Richard A. Tensoring questions in the Schur MICCHELLI, C. A. and RIVLIN, T. J. Optimal recovery group. II, A-227; Kummer algebras, A-419. of best approximations, A-317. MONK, J. Donald. Independent subsets of subsets of MIGNONE, Robert J. Normal, fine, w1-complete ultra free Boolean algebras, A-3. filters on PX1X2. Preliminary report, A-644, MONROE, Ted. See TROTTER, William T., Jr. MIHRAM, G. Arthur. On a connexion between Thorn's MONTGOMERY, Hugh L. The probable error in the 'catastrophe theory' and Wiener's •cybernetics'. Preli prime number theorem. Preliminary report, A-303. minary report, A-167; Why are computerized simulations MOORE, Calvin C. See HOWE, Roger E. not mathematical models? Preliminary report, A-463; The MOORE, Hal G. and YAQUB, Adil. Equational defin genesis of mathematical ideas: Why we can't quite automate ability of addition in certain rings, A-392. the mod<;!lling process. Preliminary report, A-551. MOORE, J. C. See COHEN, F. R. MIKUSINSKI, J. See KANNAPPAN, Pl. MOORE, Vardeman G. Characterizing recursively MILLAR, P. Warwick. Markovian bridges. Preliminary enumerable sets and partial recursive functions in report, A-626. groups, A-249; Degree preserving semigroup embeddings, MILLAR, Terrence S. Homogeneous models and decidabil A-571. ity. Preliminary report, A-384. MORALES, Pedro. See BELLEY, Jean-Marc. MILLER, Arnold W. Hierarchies, ultrafilters, and a MORAWETZ, Cathleen S. On the wave equation outside A-757 an obstacle, A-307, Iterative and projectional methods for random operator MORDESON, John N. See DEVENEY, James K. equations, Preliminary report, A-161. MORGAN, John c., n. On sets every homeomorphic NA TARAJAN, P. N. A family of spaces in which weak image of which has the Batre property, A-627. and strong convergence coincide, Preliminary report, MORGAN, John W. Hodge theory for the algebraic topol A-429, ogy of nonsingular varieties, A-517. ---. See BHASKARAN, R. MORIN, Bernard and FRANCIS, George K, Some equi NEISENDORFER, J, A. See COHEN, F. R. variant eversions of the sphere, Preliminary report, NELSON, Don, See EENIGENBURG, Paul, A-718, NELSON, Robert R. The completeness of the space of MORLEY, T. D. Parallel summation, Maxwell's prin functions of finite upper 1-variation, Preliminary report, ciple and the infimum of projections, A-350, A-293, MORREL, B. B, See CONWAY, J. B. NERODE, Anil. The limits of effectivity In classical MORRIS, Robert A. Smooth covers of Hopf algebras, mathematics, A-505. A-370; Frobenius endomorphisms in umbral calculus, ---. See METAKIDES, George. A-629, NERODE, Anil and SHORE, Richard A. First order MORRIS, Sidney A. See ANDREW, A. L. theories of reducibUity orderings, Preliminary report, MORRISON, John A. Three discrete-time queues in tan A-497. dem. Preliminary report, A-150. NESS, Linda A, Curvature on deformations of a singular MORROW, Dean C. See ALEX, Leo J, algebraic plane curve, A-324. MOULIS, Edward J. , Jr. Coefficients of analytic func NESTORIDIS, VassiU N. Inner functions under uniform tions depending on three real parameters. Preliminary topology: Connected components and multiplication, Pre report, A-522; A class of functions containing functions liminary report, A-240, with positive real part. Preliminary report, A-662, NEUGEBAUER, C. J. The Hardy-Littlewood max func MOUSOURIS, Nick and PORTER, A. Duane, Partitions tion relative to monotone families, A-631. of a symmetric matrix over a finite field. Preliminary NEUMAm, A. Recursive theory of combinatorial struc report, A-58, tures, A-330, MOZZOCHI, C. J. A remark on Goldbach's conjecture. NEUMANN, Dean A. Topologically hyperbolic critical vn, A-479; A remark on Goldbach's conjecture. vm, points. Preliminary report, A-500. A-577. NEUMANN, M. See MASSER, D. W. MUELLER, Bruno J. Two-sided localization in noether NEUMANN, Walter D. Fibering plumbed manifolds. ian PI-rings, A-270. Preliminary report, A-301; An Invariant of plumbed ---. See MOHAMED, Saad. manifolds. Preliminary report, A-717. MUELLER, J. H. See GALLAGHER, P. X. ---. See EISENBUD, David, MULDOON, M. E. On the zeros of a cross-product of NEVAI, Paul G. Orthogonal polynomials, A-284; Bern Bessel functions of different orders, A-434. stein's Inequality inLP for 0< p< 1, A-374, MULLEN, Gary L. Local permutation polynomials in NEVANLINNA, Olav!, See LINIGER, Werner, three variables over GF(p). Preliminary report, A-50, NEVANLINNA, Olavi and LINIGER, Werner, Contrac MULLER, George M. The cardinal collocation problem. tive one-leg methods for stiff ODE's I, A-400. Preliminary report, A-436, NICKEL, Paul. A biharmonic normal operator. Preli MULLEN, Albert A. Combinatorial fixed-point theory, minary report, A-316, A-8; On arithmetic aspects of geometric problems, A-227; NICO, William R. A classification of indecomposable A-463; On special rational approximations, A-422; Rela S-sets, A-71. tions between fixed-point theory and numerical analysis, NICODEMI, Olympia. Homomorphisms of algebras of A-486; On curtallable numbers, A-583; On combinatorial holomorphic functions on a Banach space. Preliminary prime number theory, A-696. report, A-432, MUNKHOLM, Hans J. Whitehead torsion for fiber bundles, NIEDERREITER, Harald and SHIUE, Jau-Shyong. Equi A-258, distribution of linear recurring sequences In finite fields, MUNKHOLM, Hans J, and PEDERSEN, Erik K, Wall's A-46. finiteness obstruction for fibered spaces, A-260, NIJENHUIS, Albert. Network flow with linear storage MURDESHWAR, M, G. Alexander's subbasis theorem, requirements, A-494; Random subsets of fixed size, with A-447. optimal time and storage, A-570, MURDESHWAR, M. G. and ANANTIIARAMAN, R. In ---, See GREENE, Curtis. variance under optimally continuous functions, A-448. NIKOLAI, Paul J. Numerical linear algebra in structural MURRAY, Amy C. Development of momentary singulari engineering, A-163. ties in solutions of the Korteweg-deVries equation, A-101. NISHIURA, Togo. Examples of measurable relations, MUSES, C. A surface measure for all regularly faced A-630, polyhedral shells formed of spheres, A-623, ---. See ANDRUS, Gary F. MYClliLSKI, Jan. A linear learning theorem, A-235, NISHIZEKI, Takao. On the relations between the genus and ---. See HOLSZTYNSKI, W. the cardinality of the maximum matchings. Preliminary MYERS, Dale, See LAMPE, William A. report, A-5; On the relations between the genus and the MYERS, Robert. Free involutions on lens spaces, A-606; cardinality of the maximum matchings. n. Preliminary Companionship of knots and the Smith conjecture, A-709. report, A-224; Lower bounds on the cardinality of the MYERSON, Gerald. A combinatorial problem In finite maximum matchings of regular graphs, A-270, fields, Preliminary report, A-276, NOBS, Alexandre, The E-factors of the exceptional MYUNG, Hyo Chul. Radicals in associative triple sys representations of GL2(Q2). Preliminary report, A-300, tems, A-422. NOONAN, J. W. A length-area principle. Preliminary NACHBIN, Leopoldo, Some problems In the application of report, A-83. functional analysis to holomorphy, A-638, NORDGREN, E. A. See HADWIN, D. W. NAGATA, Jun-iti. See BRUIJNING, Jeroen. NORRIS, Eugene M. The structure of idempotent rela NAGATA, Jun-iti and BRUIJNING, Jeroen. A new charac tions, A-68; Maximal rectangular relations and neural terization of covering dimension, A-258; A new characteri modeling. Preliminary report, A-552, zation of covering dimension, II, A-452. NOWAKOWSKI, Richard and RIVAL, Ivan. A fixed edge NAGLE, R. Kent and SINGKOFER, Karen, Equations with th~rem for graphs with loops, A-508. unbounded nonlinearities, Preliminary report, A-129, NURNBERGER, G. See DEUTSCH, F, NAKAO, Zensho, Bi-algebraic group laws, A-369, NUSSBAUM, Roger D. Uniqueness and nonuniqueness of NAKKI, R. and PALKA, B. Boundary distortion and the periodic solutions of x•(t) = -g(x(t-1)), A-428. uniform convergence of quasiconformal mappings, Preli NYIKOS, Peter J. A compact nonmetrizable space X such minary report, A-82. that x2 is hereditarily normal. Preliminary report, A-139; NAMBA, Kanji, w1-compact topological spaces and their A provisional solution to the normal Moore space problem, properties in set theory, Preliminary report, A-645, A-450; Weakly first countable topological groups are me NASHED, M. Zuhair. Ill-posed problems for integral trizable, A-647; On compact hereditarily normal spaces, equations with emphasis on the Radon equation, A-112; Preliminary report, A-668. ---. See DAVIS, S, W. A-758 OBERAI, Kirti K. Spectral mapping theorem for essen PANDEY, J. N. and TIWARI, U. N. Stleltjes transform tial spectra, A-126. of distributions and Abelian theorems, A-318, O•BRmN, Richard C. See EDELSTEIN, Michael. PANNA TONI, Ronald F. WKB connection formulae for 0 1BRIEN, Robert E. Perturbation of controllable sys the O,D.E. u" + (x2 + s/x)u = 0 and an application to tems, A-306. density wave theory. Preliminary report, A-704, O•CONNOR, Brian M. Placement of nodal points In finite PA~ADOPOUIDS, Alex S, and PADGETT, W, J. A sto elements with one curved side, A-380, chastic model for BOD and DO in streams, A-158, ODELL, E. See ALTSHULER, Z. PAPADOPOULOS, Alex S, and PARISH, Albert E. An ODELL, E. and WAGE, M. Weakly null sequences equi empirical Bayes approach for the Gamma faUure model, valent to the unit vector basis of c 0• Preliminary report, A-667, A-120. PAPICK, Ira J. Coherent overrlngs, TI, A-421, ODEN, J. Tinsley. Finite element approximations of PARASHAR, Vinod K, On absolute Riemann and absolute some nonlinear boundary-value problem in finite elasticity Abel summabllity methods, A-487, theory, A-379. ---. See AHMAD, Z. U. ODLYZKO, Andrew M, A study of the asymptotic oscU PARIS, J, and HARRINGTON, L. Simple combinatorial lations of a certain sequence, A-46; Recent improve problems without reasonable solutions, A-40. ments In lower bounds for discriminants. Preliminary PARISH, Albert E. See PAPADOPOULOS, Alex S, report, A-274. PARK, Chull and SKOUG, David L. Distribution esti ---. See LAGARIAS, J. C. mates of barrier-crossing probabilities of the Yeh-Wle OHM, Jack, On prime ideala and Integral dependence. ner process, A-154, Preliminary report, A-369. PARK, Jae Keol. Artinlan skew group rings, A-482, OJA, Erkki, Application of learning algorithms to selec PARKER, G. Edgar. Evolutions conjugate to semigroups, tive learning and unlearning. Preliminary report, A-552, A-377; The Crandall-Liggett hypothesis in C[0,1]• A-661. OLIN, Philip. Normal band free products. Preliminary PARKER, PhU, Distributional geometry ana relativity, report, A-582; Logical properties of V-free products of A-323. bands. Preliminary report, A-696. PASSTY, Gregory B. Preservation of the asymptotic OLIVE, Gloria. From the zero-transform to combina behavior of a nonlinear contraction semlgroup by back torial identities. Preliminary report, A-88. ward differencing. Preliminary report, A-618, OLIVER, R. K. On Bieberbach•s decomposition of dis PATERA, J. Molien functions for unitary representa crete Euclidean groups, A-69, tions of Lie groups and certain discrete groups, A-298. OLSON, Andrew M. Computable series representations PATHAN, M.A. See SRIVASTAVA, H. M. of nonlinear operators, A-495, PATIL, D. J~ Some consequences of the recapturing OLSON, Dwight M. A construction of super-nilpotent theorem in H • Preliminary report, A-287. radical classes. Preliminary report, A-518. PATIL, K. B. Equivalent conditions for cancellation OLSON, Dwight M. and JENKINS, Terry L. Upper radi of Z2-graded Azumaya algebras, A-372. cals and essential ideals. Preliminary report, A-63. PATTEN, Paul R. Refinable maps and generalized ab OLTIKAR, B. C. and RIBES, Luis. On prosupersolvable solute neighborhood retracts. Preliminary report, A-388. groups, A-305. PAULOS, John A. Applications of catastrophe theory to O•MALLEY, Matthew. See GILMER, Robert. semantics: ambiguity, jokes, and scientific revolutions, O•MEARA, 0. T. On positive definite quadratic forms A-173; Mathematics as substitution Into polynomials, over the integers, Preliminary report, A-262, A-611. ONO, Takashi. Arithmetic of linear systems of quadrics, PAWELKE, Siegfried. Saturation of convolution operators A-265, with product kernels in L1f1Rn), A-430. OREY, Steven, See JAIN, N. PAX, S. A. Appropriate cross-sectionally simple four ORLIK, Peter. Singularities and group actions, A-715. cells are flat. Preliminary report, A-446. ORLIK, Peter and SOLOMON, Louis. Complex reflection PAYNE, Stanley E. Spreads and ovoids of the known fi groups and cohomology, A-267. nite generalized quadrangles, A-509. ORLIK, Peter and WAGREICH, Philip. Discontimious PEARCE, Kent. Extreme points and spiral-like functions. subgroups of complex linear groups. Preliminary report, Preliminary report, A-433. A-716. y PEARCE, Lynn Hauser. Random walks on trees. Preli OSBORN, John E. and BABUSKA, Ivo. Finite element minary report, A-33. error estimates in the L2 and 2nd Sobolev norms. Preli PEARCE, Iqnn Hauser, SUMNER, David and DURHAM, minary report, A-382. Steve. Random walks on trees: Probabilistic connectivity. OSGOOD, Charles F. "Lattice point" transforms. Pre Preliminary report, A-651. liminary report, A-321, PEARCY, Carl M. Quaslnilpotent operators revisited and OSSERMAN, Robert. See HOFFMAN, David, the hypertransitive operator problem, A-126; Some new OSTEEN, R. E. A note on maximal rectangles In digraphs theorems In operator theory, A-534. and cliques in graphs, A-3. ---. See APOSTOL, Constantin. OSTERBURG, James. Fixed rings of simple rings, A-59, ---. See KIM, H. W. OSTERWALLER, Konrad and SEILER, Erhard. Gauge PEDERSEN, Erik K. See MUNKHOLM, Hans J. quantum field theories on a lattice, A-319. PELANT, J. See van DOUWEN, E. OUTLAW, Curtis. See DERR, Leroy. PELL, Richard. See KIRWAN, W. E. OWEN, David R. Thermodynamics, line integrals, and PELTmR, C. F. and BEEM, R. P. Involutions on Dold actions on systems, A-547. manifolds. Preliminary report,A-717. OWENS, Frank W. Enumeration of d-nary trees. Preli PENCE, Dennis D. Best LLapproxlmation by monotone minary report, A-37. splines, A-376. OWINGS, James c., Jr. Solution of planar Diophantine PENN, Howard L. Isomorphisms between Hp of the poly equations, A-3. disc and Hp defined on other semigroups, A-659, PADGETT, W. J. Approximate solution of random non PENNEY, Richard C. The algebraic structure of nilpo linear equations by random contractors, A-150, tent groups with square Integrable representations, A-78. ---. See PAPADOPOULOS, A. S. PENNLINE, James A. A simple procedure for generat PADMANABHAN, R. Cubic quasi-groups, A-614. ing solutions to certain nonhomogeneous Riemann-HUbert PAGE, Warren. More on P • Q m-cycles; a generalized problems. Preliminary report, A-710. number problem, A-306. PERAL, Juan C. L estimates for the wave equation. PAl, D. V. and DIVEKAR, v. G. Fixed point theorems Preliminary report, A-583. for multi-mappings on Menger spaces, A-258, P~RAL, Juan C. and TORCHINSKY, A. Multipliers in PAl, D. V. and GOVINDARAJULU, P. On continuity of H (Rn), O A-759 the wave equation via the Lax-Phillips theory, A-354. POSLUSZNY, Jeffrey and RUBEL, Lee A. The motions PESKIN, Michael E. Gauge fields, functional integrals, of an ordinary linear differential equation, A-714. and geometry, A-548. POSNER, David B. The jump operation on the degrees PETERS, James V. An integral transform proof of the of unsol vabllity. Preliminary report, A-507. Ham Sandwich theorem, A-132. ---. See JOCKUSCH, C. G. PETERS, Justin R. Entropy on discrete abelian groups, POUR-EL, Marian Boykan and RICHARDS, Ian. Some A-110; Entropy of automorphisms of discrete abelian interconnections between recursion theory and analysis, groups, A-458. A-386. · PETERS, Meinhard. Generalized idoneal numbers, A-262. P;RAKASH, Nirmala. Existence of closed geodesics in PETERSON, Allan C. Green's functions for focal type framed manifolds. Preliminary report, A-538. boundary value problems, A-92. PRANGER, Walter. Riemann surfaces and bounded holo PETERSON, Brian L. and EDGAR, Hugh M. Integral morphic functions. Preliminary report, A-521. bases for cyclic quartic fields over quadratic subfields. PRASAD, J. See VARMA, Arun K. Preliminary report, A-575. PRASAD, V. s. Ergodic measure-preserving homeo PETRO, John W. and PETTIT, M. Edward, Jr. Weier morphisms of lRn, A-521. strass families of ideals in commutative rings, A-55. PRATHER, Carl. On special classes of entire functions PETTIT, M. Edward, Jr. See PETRO, John W. whose zeros and growth are restricted. Preliminary re PFALTZGRAFF, John A. See CIMA, Joseph A. port, A-7; Zeros of successive derivatives of some en ---. See LIVINGSTON, A. E. tire functions. Preliminary report, A-521. PHELPS, Judy Kennedy. Homeomorphisms of products PRESTEL, Alexander. Remarks on the Pythagoras and of universal curves.A-499. Hasse number of real fields. Preliminary report, A-263. PHELPS, Richard M. Infinite dimensional moment prob PRICE, David T. The classification of algebras. Preli lems. Preliminary report, A-156. minary report, A-66. PHILIPP, W. See KUELBS, J. PRITCHARD, W. G. See BONA, J. L. PHILLIPS, G. M. See CHENEY, E. W. PROTOMASTRO, Gerard P. See ANDREW, A. L. PHILLIPS, Keith. Homogeneity structure of distributions PROTTER, Philip. Markov solutions of stochastic dif on local fields, A-492. ferential equations, A-152. PHILLIPS, RalphS. Scattering theory for automorphic PROVAN, J. Scott and BILLERA, Louis J. Diameters functions, A-616. and shellings of convex polyhedra-a unifying approach. ---. See LAX, Peter D. Preliminary report, A-550. PIGNO, Louis. Sets of interpolation and small p sets. PRZYBYLSKI, Jerome J. A bounded solution of xs+1y• = Preliminary report, A-458. F(x,y,z)xz' = G(x,y,z) when Gz(O,O,O) = 0. Preliminary PINCHUK, Bernard. Bounded univalent functions whose report, A-92. images cover a fixed disc. Preliminary report, A-587. PRZYMUSINSKI, Teodor C. Perfect normality and Mar ---. See BELLER, Eliyahu. tin's axiom, A-255; Paracompactness of Pixley-Roy PINCUS, Joel D. Symmetric singular integral operators hyperspaces. Preliminary report, A-501; The existence with arbitrary deficiency indices, A-128. of Q-sets is equivalent to the existence of strong Q-sets. PINKHAM, Henry C. Smoothing. of certain minimally Preliminary report, A-610. elliptic singularities. Preliminary report, A-653. PRZYTYCKI, Jozef H. Zn-actions on some 2 and 3- PIOTROWSKI, Zbigniew. On simultaneous mumberg sets, manifolds, A-710. A-44~i A-557. PURl, P. Stress and temporature discontinuities due to PITKARANTA, Juhani. Boundary subspaces for the method a thermal shock on the bounding plane of a semi-infinite of Lagrange multipliers. Preliminary report, A-380. perfectly conducting elastic medium in the presence of a PITTS, Janet D. See DALE, Louis. magnetic field. Preliminary report, A-546. PIZER, Arnold. Heeke operators and Euler products for PURl, P. and KULSHRESTHA, P. K, Flow of a micro ro(m), A-261. polar liquid between two infinite slowly rotating disks. PLANT, Richard E. Temporal pattern generation in Preliminary report, A-546. coupled osclllators: a model for the Tritonia trigger group PUTNAM, C. R. Invariant subspaces of operators having neurons. Preliminary report, A-621. nearly disconnected spectra. Preliminary report, A-535. PLANTE, J. F. Foliated 3-manifolds with solvable funda PUTTASWAMY, T. K. Solution in the large of a certain mental group. Preliminary report, A-146. linear homogeneous differential equation of order n, PLOTKIN, J. M. and ROSENTHAL, John W. On the ex A-92; Asymptotic solutions of a certain nth order dif pected number of branches in analytic tableaux analyses ferential equation in the neighbourhood of an irregular in propositional calculus. Preliminary report, A-437; singular point, A-312; Asymptotic behaviour of solutions Asymptotic beha vlor of the coefficients of analytic func of a certain second order differential equation in the tions satisfying functional equations. Preliminary report, neighborhood of an irregular singular point of arbitrary A-478. rank, A-714. POGGIO, T. Flies and synapses: A Volterra-like func QUACKENBUSH, R. W. Pseudovarieties of finite alge tional representation of algorithms and interactions. Pre bras isomorphic to finite bounded distributive lattices, liminary report, A-170. A-417. POBST, Michael. Unl't search in algebraic number fields. ---. See GRATZER, G. Preliminary report, A-280. QUINE, J. R. and YANG, P. A noncompact version of POKRASS, David J. Right nilpotent generalized alterna the second PlUcker formula. Preliminary report, A-657. tive rings, A-66. QUINN, Dennis W. Solution of a hyperbolic differential POLKING, John C. Fundamental solutions for the Cauchy equation atising in the modelling of a lightning stroke. Riemann equations, A-20. Preliminary report, A-545. POLLAK, Barth. Generation of local integral orthogonal QUINN, Frank. Book decompositions of manifolds, A-147. groups. Preliminary report, A-265. QUINTO, Eric .Todd. On the locality of generalized POMERANCE, Carl. A note on the first prime in an Radon transforms. Preliminary report, A-112; The de arithmetic progression, A-49. pendence of the generalized Radon transform on defining POREDA, S. J. Classes of analytic functions that can measures, A-701. be'approximated by polynomials with a uniform degree of RADJAVI, H. See HADWIN, D. W. convergence. Preliminary report, A-316. RAHE, M. See DEL JUNCO, A. POREDA, S. J. and TEPPER, D. E. Approximation to RAHMAN, Q. I. See GIROUX, A. linear functional on H1 by point evaluations, A-663. RAHMAN, Q. I. and WANIURSKI, J. Coefficient regions PORTA, Harry J. and WYLER, Oswald. On proper sub for univalent trinomials. Preliminary report, A-11. objects in a topos. Preliminary report, A-67. RAJAGOPALIAN, M. Uniform algebras and scattered PORTER, A. Duane. See MOUSOURIS, Nick. spaces. Preliminary report, A-702. PORTER, James F. See FElDMAN, William A. RAKESTRAW, Roy. A characterization of inner product PORTER, James F. and FElDMAN, Wllllam A. Relative spaces. Preliminary report, A-115. uniform convergence for ~algebras. Preliminary report, RALL, L. B. See HILGERS, J. W. A-121. RALSTON, James V. The scattering of sound waves, A-527. A-760 RAM, Jai, Jacobson radical of skew polynomial rings, REITER, Edna E. Some chain conditions on fixed rings. A-576, Preliminary report, A-225, ---. See BED!, SUrinder Singh. REMMEL, Jeffrey B. On the lattice of r.e. subalgebras RAM, R. B. See DIAZ, J. B. of weakly recursively presented Boolean algebras, A-383; RAMAIAH, V. Sita, The unitary divisor function over cer Recursive isomorphism types of recursively presented tain class of integers, A-477, Boolean algebras. Preliminary report, A-706. RAMM, Alexander G. Perturbations preserving asympto REMMEL, J. B. and METAKIDES, G, Recursion theory tic of spectrum, A-8; Approximate analytical solution of on orderings; a model theoretic setting, A-249, a class of integral equations, A-432; Iterative solution of REPKA, Joe. Tensor products of unitary representations some nonlinear operator equations,A-590, of SL(2) of a local field. Preliminary report, A-301. RAMSEY, L. Thomas. A theorem of C. Ryll-Nardzewski RESCO, Richard. Transcendental division algebras. Pre and metrizable l.c.a. groups, A-701. liminary report, A-275. ---. See GERVER, Joseph L. RESNIKOFF, H. L. The development of the theory of RAMSHAW, Lyle, On the discrepancies of several famous 6-functions: Unpublished work of Riemann, A-23. sequences. Preliminary report, A-242, RETZLAFF, Allen. Computable operators in Hilbert RANDELL, Richard, Complements of plane curves, A-716. space, Preliminary report, A-251; New results in recur RANGARAJAN, M. R. On the radius ofunivalence and star sive analysis. Preliminary report, A-386. likeness of a class of analytic functions. Preliminary re- REYNO.LDS, W. H. Subgroups of abelian groups that are port, A-237. _ maximal with respect to avoiding elements. Preliminary RANGE, R. Michael, On Hlllder estimates for 8u = f on report, A-695, weakly pseudoconvex domains, A-313. REZNICK, Bruce A, Extremal psd forms with four terms, RANKIN, Samuel M., m. Existence of a functional dif A-227; Banach spaces with polynomial norms, A-284. ferential equation in Banach spaces, Preliminary report, RHEMTULLA, A. H. Isolators in solvable groups of A-94. finite rank, A-276, ---. See CRAMER, E. ---. See GLASS, A.M. W, RAO, A.N.V. See CHARATSIS, E. RffiES, Luis. See OLTIKAR, B. C, RAO, A.N. V. and TSOKOS, C.P. Stability of McShane RICH, Michael. Some radical properties of Jordan matrix systems. Preliminary report, A-153, rings, Preliminary report,A-65; Some radical properties RAO, K. Murali. See CHUNG, K. L, of Jordan matrix rings. II. Preliminary report, A-484; RAO, R. Ranga. Some explicit formulas in the theory of Nilpotent ideals in alternative rings, A-575, Weil representation, A-718, RICH, William F. Timelike homotopy groups and a charac RAO, V. V. Fourier coefficients of nonanalytic automor teristic class for Lorentz manifolds, Preliminary report, phic forms, A-368, A-148, RAPHAEL, R. On Conrad's partial order relation on semi RiCHARDS, Ian. See PO.UR-EL, Marian Boykan. prime rings and on semigroups, A-42. RICHARDSON, Leonard F. Poisson summation on Kiril RASMUSSEN, Carl H. OscUlation of first-order, linear, lov orbits. Preliminary report, A-76, Hamiltonian systems of ordinary differential equations. RICHMAN, Fred. See ARNOLD, David. Preliminary report, A-93, RIEGER, G. J, On Ford-spheres, A-6; On Lipschitz RASSIAS, George M. An answer to a conjecture of Rene sequences, A-425, Thorn, A-608; On the Morse-Smale characteristic of a RIEHM, Carl. Jordan splitting of almost unimodular differentiable manifold, A-709, forms. Preliminary report, A-264. RASSIAS, George M. and RASSIAS, T. M. A solution to RIFFELMACHER, Dave, Sweedler•s two-cocycles and a problem posed by M. Zorn, A-240, Hoqhschild cohomology. Preiiminary report, A-519, RASSIAS, Them!stocles M. A generalization of Courant's RIM, Dock S, Existence theorem of equivariant versa! nodal domain theorem, A-254; On the number of regions deformation, A-653, in which the nodal lines of spherical harmonics divide the RINGEISEN, Richard D. See LITTLE, Charles H. C. sphere, A-607; On Morse theory and Plateau's problem, RINZEL, John. See MILLER, Robert N. A-709, RITTER, Grant A. A continuous-time analogue of random ---. See RASSIAS, George M, walk in a random environment, A-151, RATCLIFFE, John G. Free and projective crossed nod RIVAL, Ivan, See NOWAKOWSKI, Richard. ules, A-144; On the 2-dimensionality of CW+complexes and RIVERA, Hernan and LANGENHOP, C, E. Controllab!l!ty groups, A-520; On the enda of higher dimensional knot of linear neutral systems, A-171. groups, A-647. RIVLIN, T. J. See MICCHELLI, C. A. ---. See HIRSCHHORN, PhU!p S. ROACH, F. A. Flows and continued fractrons over a RATHIE, P. N, See KANNAPPAN, Pl. vector space, Preliminary report, A-164, RAY-CHAUDHURI, D. K, See ROTH, Robert. ROBBINS, D. A. See KITCHEN, J. W, RAZAR, Michael J. Eichler cohomology and Eisenstein ROBERTS, John, Graphs with given girth and circum series, A-512. ference. Preliminary report, A-32, READE, Maxwell 0, See MILLER, Sanford S, ROBERTSON, James B. The Bucy representation theo READE, Maxwell 0, and MOCANU, Petru T. On a con rem, A-626, jecture due to Robinson, Preliminary report, A-658, ROBINSON, Robert W, See HARARY, Frank, REDDIEN, George W. Discretizations for control prob ROBSON, J. C. Polynomials satisfied by matrices, A-272. lems with delays, A-544, ROCKAFELLAR, R. T. Clarke's tangent cones and the REDFIELD, R. H. Completing convergence structures. boundaries of closed sets In Rn, A-395. Preliminary report, A-448, ---. See SPINGARN, Jonathan, REED, George M. Normality conditions, A-668, RODEMICH, Eugene. The groups of order 128, A-71. ---. See van DOUWEN, E. ROGERS, Donald D. See CLANCEY, Kevin F. REED, J. N, and WORRELL, J. M., Jr. A convergence ROGERS, Joel C. W. See BREZIS, Haim. theorem for clinical cardiology, Preliminary report, A-169, ROGGENKAMP, Klaus W. Problems in integral represen REEDER, John and SHINBROT, Marvin. Two and three tation theory, A-62. dimensional periodic waves in water of infinite depth, Pre ROITMAN, Judith, More paracompact box products. liminary report, A-164, Preliminary report, A-367; Easy S and L groups. Pre REICH, Simeon, Weak convergence theorems for nonex liminary report, A-445. pansive mappings in Banach spaces, A-240; The range of ROSE, Bruce I. Model completeness and nonassoc!ative sums of accretive and monotone operators, A-393; On the algebras. Preliminary report, A-506, equivalence between resolvent consistency and conver ROSE, Bruce I. and WOODROW, Robert E. Ultrahomo gence for nonlinear contractive algorithms, A-617. geneous structures, A-26. REILLY, I. L. and VAMANAMURTHY, M, K. Some ROSELLE, D.P. See DYMACEK, Wayne M. topological ant!properties, A-447. ROSEN, Kenneth H. Units arising from Kronecker's first REINER, David L. Eulerian binomial type, revisited, limit formula, A-51. Preliminary report, A-35. ROSEN, Ronald H. Spines of compact contractible A-761 3-manifolds, Preliminary report, A-366, RUNG, Donald C. A conjecture of Doob, Preliminary re ROSENBERG, Alex and KLEINSTEIN, Jerrold, Abstract port, A-395. Witt rings and Witt rings of a semilocal rings, A-264. RUOFF, Dieter and SHILLETO, James. The parallel ROSENBERG, Gary A. See KYNER, Walter T. postulate in 3-dimensional incidence geometry, A-324. ROSENBERG, Ivo G. A generalization of semigroup rings RUPP, Russell D. See SURYANARAYANA, M. B. and incidence algebras. Preliminary report, A-224. RUSHING, T. B. and VENEMA, Gerard A. A weak flat ROSENBERG, Milton. Contraction operator lemma from tening criterion for compacta in 4-space, A-387. the study of wide-sense Markov processes, A-127, RUSSO, Paula A, and WATKINS, Mark E. Graphical ROSENBLATT, Joseph. See EDGAR, Gerald. regular representations of non-Abelian groups of order 24. ROSENSTEIN, Joseph G. Recursive linear orderings, Preliminary report, A-27. A-384. RUST, A. E. See KOUTRAS, D.C. ROSENTHAL, John W. See ASH, Chris J. RYAN, Patrick J. See CECIL, Thomas E. ---. See PLOTKIN, J. M. SAAB, Elias. A characterization of w•-compact convex ROSENTHAL, Peter. The transitive algebra problem: sets with the Radon Nikodym property, A-232. recent results and possible approaches, A-125, SAALFELD, Alan J. See DULL, Martin H. ---. See HADWIN, D. W. SABIDUSSI, G. See FOLDES, 8, ROSS, James E. A regularity theorem for linear elliptic SACHS, Ekkehard. Optimal control of nonlinear diffusion equations. Preliminary report, A-101; A Morrey-Nikol'skii problems, A-536. inequality, Preliminary report, A-618, SACKER, Robert J. The splitting index-when is your ROSTA, Vera. Survey on Ramsey-multiplicity of graphs. favorite differential operator Fredholm? Preliminary re Preliminary report, A-40. port, A-614. ROTA, Gian-Carlo. See METROPOLIS, N. SAEKI, Sadahiro. Convolution squares of singular mea ROTH, Ben G. The projective invariance of infinitesimal sures. Preliminary report, A-461. properties of frameworks, A-643. SAFF, E. B. and VARGA, R. s. Bounds for incomplete ROTH, Robert and RAY-CHAUDHURI, D. K. Commuta polynomials, A-107; An application of incomplete polyno tive Moufang 3-loops. Preliminary report, A-509. mials of Lorentz, A-291; Uniform approximation by in ROTHMAN, Sheldon. The von Neumann kernel and mini complete polynomials, A-655, mally almost periodic groups, A-520. SAGEEV, Gershon. On the order structure of Dedekind ROTHSCHILD, Bruce. The Nesetr!l and Rlldl-theorem cardinals and nonstandard models of arithmetic, A-363; on Ramsey's theorem for set systems, A-40, On Dedekind cardinals and nonstandard models of arith ROTHSCHILD, Linda Preiss. Local solvability of dif metic, A-507, ferential operators on nilpotent Lie groups, A-528, SAGLE, A. A. and HOLMES, J.P. Analytic H-spaces ROTMAN, Joseph. Integral duality and duality groups. and alternative algebras , A -7 6. Preliminary report, A-696. SAHNEY, B. See KUTTNER, B. ROULIER, J. A. See HENRY, M.S. SAIN, M. K. See WYMAN, B. F. ROULIER, John A. and McALLISTER, David F. Interpo · SAKS, Victor. Perfect functions, A-138, lation by convex quadratic splines. Preliminary report, SALLY, Paul J., Jr. The Fourier transform of orbital A-308. integrals, A-295, ROUSH, F. W. See KIM, K. H. SALTER, Richard. Matrix-stable distributions and limit ROUSSEAU, C. C. See BURR, S, A, theorems. Preliminary report, A-153. ROUSSEAU, C.C, and SHEEHAN, J. Size Ramsey num SALTMAN, David J. Unramified division algebras. Pre bers for bipartite graphs, A-36. liminary report, A-423, ROUSSEAU, Christiane. Complex structures and the lan SALWACH, Chester J. See ASSMUS, E. F., Jr. guage of topoi, A-225. SALZER, Herbert E. Bicomplex numbers, A-304; A sym ROW, W. H. Knot groups that characterize closed 3-mani metric quotient theorem, A-426. folds, A-390, SAMIT, Jonathan. An intersection theorem for subdirect ---. See DAVERMAN, R. J. sums, A-2; Quasi-regularity in associative algebras, ROWEN, Louis Halle, Central polynomials for special A-220; Polynomial identity algebras, A-348. Jordan rings without nilpotent elements,. A-419. SAMPSON, Gary. A general approach to weak mapping ROXIN, Emilio 0. Feedback strategies in differential properties of oscillating kernels. Preliminary report, games. Preliminary report, A-321, A-289; More on weak estimates for oscillating kernels, RUBEL, Lee A. See BECKER, Joseph. Preliminary report, A-486, ---. See LUECKING, Daniel. ---. See JURKAT, W. B. ---. See POSLUSZNY, Jeffrey. SANDERS, W. M. A nondesarguesian finite projective plane RUBEL, Lee A. and TIMONEY, Richard M. An extremal of order nine. Preliminary report, A-44. property of the Bloch space, A-712. SANDS, B. A theorem on finiteness in lattices, A-419. RUBEL, Lee A., SQUIRES, W. A. and TAYLOR, B. A. SARACINO, Dan and WOOD, Carol, Existentially com Sums of convolution products, A-241. plete nilpotent class 2 grou~, A-441. RUBIN, Arthur L. Independence of the axiom of choice SARADHA, K. 0nLk=11 ell - aki, wbere Cl!k are alge from the greatest lower bound property of cardinals. Pre: braic numbers and 11 any complex number. Preliminary liminary report, A-14. report, A-481. RUBIN, Herman, Computational complexity of the genera SARAFYAN, Diran. See DERR, Leroy. tion of non-uniform random variables. Preliminary report, SARASON,Donald. See AXLER, Sheldon, A-12; Asymptotic regular almost compactness and con BAR TORELLI, Aurelio. A generalization of the fundamen vergence of nets of probability measures. Preliminary re tal theorem of algebra. I, A-230. port, A-152. SASTRY, N.S. See DESKINS, W. E. RUBIN, Leonard R. Heredity in strongly infinite dimen SATO, Nobuyuki A. On a formula of Torres. Preliminary sional spaces, A-389, report, A-541. RUBIN, M, Extensions of L<~ Part III, A-443, SAUER, N. and STONE, M. G. Subalgebra and endomor ---. See l'.MLITZ t J. phism structure of algebras, A-511. RUBIN, Matatyahu. An almost Johnson Boolean algebra, SAUNDERS, B. D. and SCHNEIDER, Hans. Cones, A-15; On the automorphism groups of complete Boolean graphs, and the scaling of·matrices, A-222. algebras, A-252, SAWYER, S, and FELSENSTEIN, J, A continuous migra RUBINSTEIN, J. H. Representations3of some 3-manifolds tion model with stable demography, A-543. as 2-fold cyclic branched covers of S • Preliminary re SCHACHER, Murray M. Brauer groups of fields, A-455. port, A-18, SCHAEFFER, David, See GOLUBITSKY, Martin, RUBINSTEIN, Zalman and WElT, Yitzhak. An extension SCHATZ, Alfred A. Loo error estimates in the finite ele of a theorem of Laguerre. Preliminary report, A-492. ment method on nonsmooth domains, Preliminary report, RUCKLE, William H. Geometric games. Preliminary re A-405, port, A-168, SCHECHTER, Martin. Scattering in two Hilbert spaces, RUDOLPH, Lee. Unknotting polynomial embeddings of A-306. the line in the plane, A-302. A-762 SCHECHTMAN, Gideon. Almost isometric In subspaces Functions of bounded value distribution and local-valency, of 4l(O, 1), Preliminary report, A-288; A-408, A-656. SCHEFFER, Vladimir. The Navier-Stokes equations in SHAHSHAHANI, Mehrdad. Scattering theory for auto dimension four, Preliminary report, A-319, morphic functions. Preliminary report, A-394, SCHEIN, Boris M. Weakly injective S-acts over inverse SHAING, Hu. See SRINIVASAN, V. K. semigroups. Preliminary report, A-226; Semigroups of SHAMPINE, L. F. Efficiency of phase function methods order 3 may have no finite base of quasi-identities. Pre for Sturm-Liouville eigenvalues, A-399. liminary report, A-574. SHANKS, Daniel. A matrix underlying the composition SCHELP, R. H. See BURR, S. A. of quadratic forms and its implications for cubic exten SCHERER, Karl. See DAHMEN, W. sions, A-305. ---. See DeVORE, Ronald A, SHAPIRO, Georges. Balayage by Fourier transforms SCHLESSINGER, Michael. The Lie algebras of deforma with sparse frequencies in compact abelian groups, tion theory, A-654. A-457. SCHLIPF, JohnS. Scribblings on papers of Kirby and SHAPIRO, H. L. and SMITH, F, A. Neighborhoods of Paris and Paris and Harrington, A-387. the disgonal and strong normality properties, A-136, SCHLISSEL, Arthur. Asymptotic and normal series solu SHAPIRO, Helene. Matrices simultaneously similar to tions of ordinary differential equations, A-22, block triangular matrices and matrices unitarily simi SCHMEELK, John F. A uniqueness theorem for a general lar to block diagonal matrices, A-6. ized initial value problem, A-99; Surdistributions. Preli SHAPIRO, Jack M. A Riemann-Roch type theorem for minary report, A-314. the Witt and Milnor rings of a field, A-266. SCHMEISSER, G. See GIROUX, A. SHAPIRO, Jay, Quotient rings of a ring and a subring SCHMERL, James H. Decidablllty and ~ 0 -categoricity of which have a common right ideal, A-697. graphs and partially ordered sets, A-251; Recursive SHAPIRO, Joel H. The harmonic Hardy spaces colorings of graphs,A-384, hP: 0 < p < 1. Preliminary report, A-291. SCHMIDT, Darrell. Strong uniqueness and Lipschitz con SHAPIRO, Victor L. Upper semicontinuity and the ditions for monotone approximation. Preliminary report, Monge-Ampere differential inequality, A-615, A-486, SHAPLEY, Lloyd s. Valuation of games, A-671; Mea SCHMIDT, E. T. On splitting modular lattices, A-613. surement of power in political systems, A-672. SCHMITT, Klaus and SMITH, HalL. On eigenvalue prob SHARMA, A. Discrete polynomial splines on the circle, lems for nondifferentiable mappings, A-617. A-531. SCHNARE, Paul Stewart. The Bohr-Archbold inequality ---. See DIKSHIT, H.P. is equivalent to the Cauchy-Schwarz inequality in en, A-491; SHAVEL, Ira. On the action of Heeke operators on the Behrens-Fisher degrees of freedom inequalities, A-544; second cohomology of a certain type of surface, A-392, A Bohr-Archbold-Hlllder inequality, A-587. SHAW, John K, Positivity properties of singular linear SCHNEIDER, Hans, See SAUNDERS, B. D. differential operators. Preliminary report, A-91. SCHOEN, Alan H. Penrose SUN and STAR patterns. Pre SHEA, Daniel and WAINGER, Stephen. The distribution liminary report, A-358, of zeros of entire functions of finite order, A-634, SCHOEN, Richard M. and YAU, Shing T. Univalence pro SHEEHAN, J. See ROUSSEAU, C. C. perties of harmonic maps, A-404. SHEINGORN, Mark, il-values for cusp forms on f(l). SCHOLNICK, Allen, An adjoint functor approach to some Preliminary report, A-49. constructions in topology. Preliminary report, A-391. SHELAH, Sabaron. Various results in mathematical SCHROECK, Franklin E., Jr. Gauge invariance and lo logic, A-247; On P-points, fJ(w) and other results in calization, A-321. general topology, A-365; Whitehead problem independence SCHULENBERGER, John. See GILLIAM, David. of categoricity, simple theories and Boolean algebras, SCHWARTZ, Alan L. See CONNETT, Willism C. A-441; Iterated forcing and independence results, A-497; SCHWARTZ, Daniel G. Isomorphic copies of Brown's On the·power of singular cardinal, the automorphism of Laws of Form and Varela's calculus for self-reference, P(w) mod finite, and Lebesgue measurability, A-599. A-442, ---. See FREMLIN, D. SCHWARZ, Jochen, See AMAYO, Ralph. ---. See HARRINGTON, Leo. SCHWEIGERT, D. Prepolynomially complete algebras. SHEPHARD, G. C. See GRUNBAUM, Branko. Preliminary report, A-418; A-557; On order-polynomially SHERMAN, Gary J. A lower bound for the number of complete algebras. Preliminary report, A-582, conjugacy classes in a finite nilpotent group, A-68. SCHWENK, Allen J. An improved bound for the classical SHIELDS, Allen L. and WILLIAMS, David L. Multipliers Ramsey number R(4,4;3), A-29; Removal-cospectral sets of harmonic functions into solid sequence spaces. Pre of vertices in a graph, A-509, liminary report, A-632. SCOTT, Carlton H. See JEFFERSON, Thomas R. SHIFLET, Angela B. See MEGIBBEN, Charles. SCOTT, L. R. See BONA, J, L. SHIFLETT, Ray C. A characterization of doubly sto SEEGER, Joshua P. Dependence with fixed marginals chastic operators induced by measure-preserving trans from a density viewpoint. Preliminary report, A-155. formations, A-123; Stochastic operators and measures. SEHGAL, S, K. Some remarks on the properties of the Preliminary report, A-615. coefficients of an idempotent in a group ring, A-277. ---. See De LAND, Paul N. SEIDMAN, Stephen B. A bound for the diameter of graphs SHILLETO, James. See RUOFF, Dieter. with small minimum degree, A-424. SHINBROT, Marvin. See REEDER, John. SEIDMAN, Thomas I. A class of approximation schemes SHISHA, Oved. Dominant and simple integrability: Ad for ill-posed operator equations, A-129, vances in the theory and numerical analysis of improper SEIFERT, C, J. The Banach-Saks property in Lp(X), integrals, A-315; Best partial power basis, A-376, A-119. SHIUE, Jau-Shyong. Uniform distribution of sequences SEILER, Erhard. See OSTERWALLER, Konrad, in the ring of integral quatern ions. Preliminary report, SELDEN, Annie Alexander and SELDEN, John, Jr. The A-369. closure of the extended bicyclic semigroup. Preliminary ---. See NIEDERREITER, Harald. report, A-72. SHORE, Richard A. On exact pairs for ideals of r. e. SELDEN, John, Jr. See SELDEN, Annie Alexander. degrees, Preliminary report, A-505. SELGRADE, James F. Mathematical analysis of a cellular ---. See NERODE, Anil. control process with positive feedback, A-149. SHORES, Thomas. See CHOUINARD, Leo. SENTILLES, D. Differentiation of measures on Boolean SHOWALTER, R. E. Quasireversibility of degenerate algebras. Preliminary report, A-236, parabolic evolution equations, A-98. SERRIN, James. Postulates for phenomenological thermo SHUCHA T, Alan. A characterization of infrabarreled dynamics, A-547. spaces, A-119. SHAH, Jayant. Stability of two-dimensional local rings. SHUCK, John W. Hensel's lemma and the p-adic inverse Preliminary report, A-653. function theorem, A-51, SHAH, S. M. Functions defined by gap power series, A-81; SHULL, Carolyn S. F. Interpolation of the Hermite- A-763 Birkhoff type, Preliminary report, A-375. SW, Yum-Tong, Pseudoconvexity and tbe problem of Levi, SIBLEY, Thomas Q. Equidlstance relations in geometry A-88, and metric spaces, A-495, SJOSTRAND, J. See MELROSE, R. B. SIBNER, Robert J. Symmetries and quasisymmetrles SKOUG, David, See JOHNSON, Gerald, of Riemann surfaces, A-636. ---. See PARK, Chull, BICHLER, J. See ADAMS, M. E. SLATER, Peter J, See BANGE, David W, SIDMAN, Robert D. and YOUNGBLOOD, Brenda F. A SLEJJPEN, Gerard L, G. ~-spaces on foundation semi method for computing directional drilling surveys, A-173. groups with identity element. Preliminary report, A-459, SIDNEY, S. J. Functions which operate on the real parts SMALE, Stephen. See HIRSCH, Morris W. of functions in a uniform algebra, Preliminary report, SMITH, F. A. See SHAPIRO, H. L, A-115, SMITH, Hal L. Almost periodic solutions of the epidemic SIEGRIST, Kyle. Results concerning the characteristic equation of J, Kaplan and K. Cooke. Preliminary report, operators associated with a class of pieced-together A-622. Markov processes, Preliminary report, A-155, ---. See SCHMITT, Klaus. SILBERGER, Allan J. Discrete series and classification SMITH, Harry, See HENTZEL, Irvin, for p-adic groups. I, A-299, SMITH, J,C, Applications of shrinkable covers, A-137; SILBERGER, D. M. How many unbordered words? A-423; Irreducible spaces and property b2. Preliminary re When Is gf isomorphic tofg? A-580, port, A-539, SILVA, Clovis P. See CARDOSO, Jayme M. SMITH, Jeff H, See CHAE, Soo Bong. SILVERMAN, Herb, SILVIA, Evelyn M. and TELAGE, SMITH, Jo E. A new family of .t-group varieties, A-43. Don N. Convolution conditions for convexity, starlike SMITH, Justin R. Complements of codimension-two ness, and spiral-likeness, Preliminary report, A-81; submanifolds, ID: Cobordism theory, A-146, Locally univalent functions and coefficient distortions, SMITH, Kenneth W. Stability and categorlcity of lattices A-85; The influence of the second coefficient on prestar- · of height four. Preliminary report, A-442. like functions, A-658, SMITH, Kirby C. See MAXSON, Carlton J, SILVERMAN, Ruth. See BAILDON, John D. SMITH, Mark A. and TURETT, Barry, Some geometry ---. See BUMBY, R. in Lebesgue-Bochner function spaces. Preliminary re ---. See LEVINSON, H. port, A-116; Rotundity in Lebesgue-Bochner function SILVIA, Evelyn M. See SILVERMAN, Herb, spaces. Preliminary report, A-116, SIM, Soon-Kiong. Coproduct of weakly injective 8-systems. SMITH, Philip W. See BARROW, D. L. Preliminary report, A-221, ---. See CHUI, Charles K, o ---. See LUEDEMAN, John K. SMITH, Rick, Effective group structures on ll1 classes SIMMONS, Steven M. Expansive sets and convolution of functions. Preliminary report, A-384; Abelian recur powers. Preliminary report, A-460, sively profinite groups, Preliminary report, A-507. SIMOES-PEREIRA, J.M.S. Some more comments of SMITH, Roger R. M-ldeals In function algebras, A-122, SMITH, WUliam V. Convergence in measure of inte ~~~~~p::i~: ~.-~:~·.and ZAMFIRESCU, Crlstina- grands. Preliminary report, A-80; Spectral measures Maria. Homogeneously traceability of digraphs, A-279. and linear mappings in a topological vector space. Part I, SIMON, Barry. Spectral analysis of Schr!ldinger operators, A-615. A-318, SMTIH, William V. and TUCKER, Don H. The weak in SIMON, Jonathan. Wirtinger approximations of groups, tegral convergence theorems and countable additivity, A-607. A-80; Weak integral convergence theorems and weak ---. See BRUNNER, AndreJ'. compactpess, A-615, SIMONOVITS, Miklos and SOS, Vera T. Intersection SMORYNSKI, C. Recursively saturated nonstandard theorems for subsets of integers, A-33, models of arithmetic, A-504, SINE, Robert. Random Markov maps, A-326, SNOW, Donald R. The standard formulas for combina ---. See CAMPBELL, Stephen. tions with various repetitions obtained by functional equa SINE, Robert and KREINOVIC, Vladislav, Remarks on tions, A-32. billiards, A-132, SNYDER, A. K. Consistency theory in semlconservative SINGER, David A, and WOLFE, Robert J, Structurally spaces, A-105, stable endomorphisms of the unit interval, Preliminary SNYDER, Herbert H. Generalized regularity on linear report, A-17, associative algebras in the sense of Fueter, A-82; Holo SINGER, I. See DEUTSCH, F. morphic functions on direct products of the complex field, SINGER, I, M. Generalizations of pseudo-differential A-660, operators, A-148, SNYGG, Charles, Plotting high dimensional data. Pre SINGH, Bhagat. Forced nonoscillatlons In second order liminary report, A-169, functional equations, A-90, SO, Joseph W, H. The effect of evolution on tbe abundance SINGH, Harinder. SH waves in laterally heterogeneous of species in a food chain, Preliminary report, A-622, layered media. Preliminary report, A-598, SOARE, Robert I, Recursively enumerable sets and SINGH, K, L. Fixed and common fixed points for con degrees, A-25, tractive type multi-valued mappings. Preliminary report, SOLAZZI, Robert E. Four-dimensional symplectic A-257; Fixed point iteration using infinite matrices, groups, A-70, Preliminary report, A-354, SOLDERITSCH, James J. Imaginary quadratic number SINGH, S. Toroidal decompositions and ANR's. Prelimi fields with special class groups. Preliminary report, nary report, A-447; Decompositions and ANR1s (AR's), A-53, Preliminary report, A-609, SOLOMON, Alan D. On tbe accuracy ofMergerlln•s SINGH, S, P, Applications of fixed point theory to ap method for phase change problems, A-165, proximation theory. Preliminary report, A-375, SOLOMON, D. W. and SOLOMON, I, On 6-limltatlon, SINGH, Surjeet and BEG, Afzal, Restricted balanced Preliminary report, A-633, rings, Preiiminary report, A-480, SOLOMON, I, See SOLOMON, D. W, SINGKOFER, Karen. See NAGLE, R. Kent, SOLOMON, J, L, See JANOS, Ludvik. SINGMASTER, David, Hamiltonian circuits on some. spe SOLOMON, Louis, See ORLIK, Peter, cial graphs, A-481, SOLOW, Anita E. A complete set of invariants for quad SINGNI, N, M. See DEZA, M, ratic spaces over certain classes of fields, Preliminary SITA RAMA CHANDRA RAO, R. and SRI RAMA CHANDRA report, A-58, MURTY, G. A problem of Evelyn and Linfoot In additive SOLOW, Daniel. A constrained optimization algorithm theory of numbers, A-481, for solving certain convex systems of equations, A-596; ---. See SRI RAMA CHANDRA MURTY, G. Homeomorphisms of triangulations with applications to SITARAMAIAH, V. The maximal semi-B-k-free integer computing fixed points, A-705, in A(m) which is also prime to n, A-420; Distribution of SOMMESE, Andrew John. See CARRELL, James B. seml-A-k-free integers, A-569; On the order of the error SONTAG, Eduardo D. Parametric identifiability of function of a class of arithmetical functions, A-695, deterministic nonlinear systems, A-553, A-764 SONTAG, E. See BUMBY, R. T. STEPHENS, A, B, See KELLOGG, R. B. SOS, Vera T, See SIMONOVITS, Miklos, STEPHENSON, Kenneth, Stable spaces and weak subor SPACKMAN, Kenneth W. Simultaneous solutions to diag dination, A-657. onal equations over finite fields. Preliminary report, A-267. STEP LEMAN, Robert S. The numerical solution of dif SPEARS, William T. and JEFFCOTT, Bsxbara, Postage ferential equations with nonsmooth solutions or forcing stamp problem, A-28, functions, A-398. SPECKER, E. See LIEBERHERR, K. STEPP, James W. See BYRD, Richard D. SPECTOR, Mitchell, Infinite exponent partition relations STERN, Ronald J. Some more Brleskom spheres which and forcing, A-507, bound contractible manifolds. Preliminary report, A-448, SPEH, Birgit, Classification of unitary representations of STERNFELD, Y. A characterization of Bauer simplices GL(4,R). Preliminary report,A-20, and of the center ·of an A(K) space, Preliminary report, SPENCE, Lawrence E. See FRIEDBERG, Stephen H. A-281, SPENCER, Domina Eberle and LYSIAC, Paul L. The ---. See ALTSHULER, Z. scalar quasipotential In photic field theory. Preliminary re STEVENS, Gary E. Chain conditions on ideals of Lie port, A-546, algebras, A-518, SPENCER, Joel H. All finite configurations are almost STILLER, Peter F. Differential equations associated Ramsey, A-31. with elliptic surfaces, A-221; Differential equations asso SPENCER, Thomas, Classical and quantum field theory, ciated with elliptic surfaces, A-453, A-166, STOB, Michael J. Structure and elementary theory of SPIKES, Paul W. See GRAEFF, John R. r,e, sets, Preliminary report, A-504, SPINGARN, Jonathan and ROCKAFELLAR, R. T, Generic STOCKMEYER, PaulK. and YAO, F. Frances, A mini necessary conditions for a family of nonlinear program mum comparison merging result, A-456, ming problems, A-168, STOLL, Wilhelm. Strictly parabolic manifolds, Preli SPROWS, David. Homeomorphisms of the 2-spheres minus minary report, A-86, a finite union of closed disks and open disks. Preliminary STONE, David R. and ENOCHS, Edgar, Maximal left report, A-541, ideals in matrix rings, Preliminary report, A-274, SQUIRES, W. A. See RUBEL, L. A. STONE, H. Edward, Direct sums of semirings. Preli SRINIVASAN, B. R. and KARUNAKARAN, V. On the partial minary report, A-63. sums of multivalently close-to-convex functions, A-586, ---. See HEATHERLY, Henry E. SRINIVASAN, Bhama. Weil representations of classical STONE, M. G. See SAUER, N. groups over finite fields, Preliminary report, A-263. STORMES, James M. A natural transformation K--+KO SRINIVASAN, V, K. and SHAING, Hu, Banach algebras analogous to the Bockstein homomorphism, A-540, and Bezout domains, A-590, STRAUS, Emst G, Euclidean Ramsey theory, A-35, SRI RAMA CHANDRA MURTY, G. and SITA RAMA CHAN STRAUSS, Monty J. Uniqueness and norm convexity for DRA RAO, R. Uniform 0-estimate forM-void integers, products of solvable operators. Preliminary report, A-570. A-98, ---. See SITA RAMA CHANDRA RAO, R. STRAUSS, Walter A. The scattering operator for moving SRIVASTAVA, H. M. and PATHAN, M. A. Some bilateral obstacles, A-307. generating functions for the extended Jacobi polynomials. ---. See COOPER, J, Preliminary report, A-584, ---. See GLASSEY, R. STACEY, P. J. See ANDREW, A, L, STRAY, Arne, Interpolation by bounded analytic func STAFFELDT, R. E. See HSIANG, W, C. tions. Preliminary report, A-635, STAFFORD, Richard M. A characterization of Janko's new STROOCK, Daniel W, and HOLLEY, Richard A. Central simple group J4, A-423, limit phenomena for Infinite interacting systems, A-626, STAFNEY, James D. A spectral mapping theorem, Preli STROUD, A, H. Some problems on cubature formulas. minary report, A-619, Preliminary report, A-320. STAHL, Stanley H. LKK-admissible sets, A-27. STRUBLE, Raimond A, Arithmetical Laplace transforms, STAMPFLI, Joseph G. Recent developments in the theory A-111, of hyponormal operators, A-127; The invariant subspace SU, Chen-jyi, Sheaf sectional representation of some problem, Preliminary report, A-535. partially ordered rings, A-43, STANLEY, Richard P. An application of Hodge theory to SU, Sung-Woo, A characterization of L1(G) among its extremal set theory, A-510; A unique representation suhalgebras, Preliminary report, A-110, theorem for Integer points in certain polyhedral cones. SUAREZ, Pedro A. A spectrum realization of a finite Preliminary ,reJlSirt, A-549. chain complex over the cohomology ring of the stable in STANOJEVIC, C. V. and GUCCIONE, S. J, Inner products tegral EUenberg-MacLane space at the prime two. Pre on groups with transition probability structure and a theorem liminary report, A-142, of Kakutani-Mackey. Preliminary report, A-118. SUCHESTON, Louis, On amarts and martingales taking STANTON, Dennis. Some q-Krawtchouk polynomials and values in a Banach space, A-296; On classes of vector perfect codes. Preliminary report, A-285, valued asymptotic martingales, A-626, STANTON, Robert 0, Direct summands of simply pre SUFFRIDGE, Ted J, See HEATH, Larry F. sented groups, A-71. SUGAR, Alvin C. A new axiomatization of Euclidean ge STARBmD, Michael, Null sequence, cellular decomposi ometry in terms of the infinitesimal. Preliminary report, tions of s3, Preliminary report, A-389, A-624. STARBmD, T. See DOR, L, E. SULLIVAN, Francis. A simple proof that E* RNP Im STARK, Richard, Automatic construction of finite models, plies E Asplund, A-241. A-26. ---. See HAGLER, James, STECH, Harlan W. Periodic solutions to a nonlinear Vol SUMMERS, W. H. Weighted approximation and open terra integro-differentlal equation, A-93, mappings, A-378. ---. See HETHCOTE, H. W, SUMNER, David, See MATTHEWS, Manton, STEELE, J. Michael. See GHOUSSOUB, Nassif. ---. See PEARCE, Lynn, STEIN, E. M. Pseudo-differential operators and several SUN, H. S. See COHEN, M. E. complex variables, A-309, SUN, T.-c. A finite element method for random dif ---. See KERZMAN, N. ferential equations, Preliminary report, A-156. STEIN, James D., Jr. A winning strategy for parimutuel SUNDARESAN, K. Finite representation of Banach betting, A-399; Equicontinuity and uniform boundedness, spaces. Preliminary report, A-286, A-618, SUNDAY, Dan, Determining optimal axes of bilateral STEIN, Martin, Interpretations ofHeyting's arithmetic in symmetry for plane figures. Preliminary report, A-608, all finite types, Preliminary report, A-362, SURYANARAYANA, M. B. and RUPP, Russell D. Exis STEINBERG, Stuart A. Lattice-ordered modules of quo tence of Nash equilibria for N-person games, Prelimi yenjs •• Prellminary report, A-271. nary report, A-130, STEPANEK, Petr, Souslin hypothesis, Borel conjecture SUTHERLAND, Patrick, An application of the random and the Inner model HOD, A-603, version of Schauder•s fixed point theorem to experience A-765 theory, Preliminary report, A-153, See RUBEL, Lee A, SUZUKI, Michio. A transfer theorem, A-267. TIWARI, U, N. See PANDEY, J.N. SWJDAR, v!tezslav. Degrees of interpretability, A-707. TODD, Aaron R. A Baire property in linear topological SVENDSEN, E. C. Local interactions defined by boundary spaces, A-116. conditions, Preliminary report, A-165. TODD, Christopher. Tbe integer (2P-L1)/p (mod p), SVERDLOVE, Ronald, Decoding topless messages, A-245. A-582, SWAN, George W. Lymphocytes and tumor cell interac ---. See BRIGHT, Alison C. tions, A-621, TODD, Michael J. Fixed point algorithms that allow SWART, Renda, See ENTRINGER, R. C. restarting without an extra dimension, A-550, SWEENEY, Tbomas F. See CANTWELL, John. TODOROV, Pavel G. New explicit formulas for the co SWETITS, John, See WOOD, Bruce, efficients of p-symmetric functions, A-592; New explicit SWINNERTON-DYER, H.P.F. Congruences for coeffi formulas for the nth derivative of composite functions, cients of modular forms, A-302, A-699. . SZETO, George. Note on separable extensions of rings. TOMAS, Peter A, and KENIG, Carlos E. Strichartz's Preliminary report, A-63. conjecture on invariant multipliers, Preliminary report, TAAM, C. T. Extension of ergodic and fixed points A-714. properties, A-310, TOMER, Eugene. On the C*-algebra of the Hermite TAFT, Earl J, See GREEN, James A. operator, Preliminary report, A-396, TAFT, Margaret W. Elementary theory ofF-rings with TONG, C. H. See BRAYTON, R. K, unit, Preliminary report, A-518, TOOMER, Graham H. On nilpotency in homotopy theory. TAIBLESON, Mitchell and WEISS, Guido. Molecular Preliminary report, A-18. characterizations of Hp spaces, A-281. TORCHINSKY, A. See PERAL, J. C. TALIAFERRO, Steven D. On the angular variation of TOWNSEND, Douglas W. Imaginary values of meromor solutions of second order linear systems, A-97; Stability phic functions in the disk, A-82, for two dimensional analytic potentials, A-594, TRACY, Craig A. Ising models and Painleve tran TALL, Franklin D. Some applications of a generalized scendents, A-641, Martin's Axiom, A-440. TRA WINSKI, B. J. Groups of permutations and probability TAMHANKAR, M. V. See ISMAIL, Mourad E. H. distributions of ranks, Preliminary report, A-498. TAMURA, Takayuki. Commutative nil semigroups, A-21; TREBELS, Walter. See GASPER, George. Commutative cancellative semigroups with nontrivial TREGER, Robert. Rational singularities in dim !;; 2, homomorphisms into nonnegative reals. Preliminary re A-352, port, A-453, TRETKOFF, Marvin. See ADLER, Allen, TANAKA, Hisao. Some theorems extended to higher-level ---. See HAIMO, Franklin. analytic hierarcy. Preliminary report, A-25. TROESCH, B. A, Nested regular polygons, A-359; The TARTAKOFF, DavidS. Local analytic hypoellipticity cyclic inequality for a large number of terms. Prelimi for Db and related operal;Q_rs, A-394; Analytic hypoel nary report, A-627, lipticity for Db and the o-Neumann problem, A-529. TROMBI, P. C. I.P-harmonic analysis on split rank one TAUSSKY-TODD, Olga. From cyclic algebras of quadra semisimple Lie groups, A-397. tic fields to central polynomials, A-271; More on norms TROTTER, William T., Jr. A forbidden subgraph from algebraic number fields and additive commutators, characterization of Robert's inequality for boxicity, Pre A-425, liminary report, A-34. TAYLOR, Alan D. Partition theorems and ideals. Preli TROTTER, William T,, Jr. and MONROE, Ted, A com minary report, A-38; Large cardinal properties of small binatorial problem involving graphs and matrices, A-654, cardinals. Preliminary report, A-645. TROUTMAN, John L, The dielectric Green function in TAYLOR, B. Alan. Existence of cross sections for the the plane, A-637. Cauchy-Riemann operator in spaces with growth condi TRUAX, Robert L. See COOK, David E. tions, Preliminary report, A-84. TRUBOWITZ, Eugene. A new solution to the inverse ---. See BERENSTEIN, Carlos A. 1wattering problem, A-380. -,-, See RUBEL, L. A. ---. See DElFT, Percy A. TAYLOR, D. C. See GILLETTE, R. M. TRUESDELL, C. Conceptual analysis in rational thermo ---. See HENRY, M. S, mechanics, A-547. TAYLOR, Laird E. An elementary proof of the fundamen TRZASKA, Mark. A connection between Amitsur and tal theorem of algebra, A-172. group cohomology for some non-Galois extensions. Pre- TAYLOR, Michael E. Propagation, reflection, and dif liminary report, A-56. 1 fraction of singularities of solutions to wave equations, TSARPALIAS, A, Isomorphic embedding of .tm into A-98, m-dimensional subspaces of C(O): the singular cardinal TAYLOR, Robert Lee, Geometrical consideration in the case, A-234. weak law of large numbers, A-295, ---. See ARGYROS, S, TAYLOR, Walter, Residual finiteness in congruence TSEN, F.S.P, See INFANTE, E. F. regular and permutable varieties, A-350; Miscellaneous· TSINAKIS, Constantine, Endomorphism semigroups of results on Mal'tsev conditions, A-581; Interactions of Brouwerian semilattices and relative Stone lattices, A-485, algebra and topology, A-613. TSOKOS, ChrisP, See CHURCH, Curtis K, TELAGE, DonN. See SILVERMAN, Herb. ---. See KOUTRAS, D. C. TEPLY, Mark L. and MILLER, Robert W. The descend ---. See RAO, A, N. V. ing chain condition relative to a torsion theory; Prelimi --. See TURNER, John C. nary report, A-59, ---. See WELCH, R. L. W. TEPPER, D, E, See POREDA, S, J, TSUI, Sze-Kai, On supremum and inflmums of function TERRAS, Audrey A, Eisenstein series for GL(n) and seminorms, A-121. the Minkowski-Hlawka theorem, A-48, TSUI, Sze-Kai and WRIGHT, Steve, Splitting singly THAS, J. A. and LASKAR, Renu. Partial three spaces generated W*-algebras. Preliminary report, A-485, in PG(n,q), A-274. TUCKER, c. T. Positive linear maps of Batre functions, THOMAS, J. M. A Diophantine equation, A-50. A-78. THOMAS, Janet D. A purely geometric proof, A-131, TUCKER, Don H. See SMITH, Wlll!am V. THOMAS, L. See BABBITT, D, G. TUCKER, H. G. See BROCKETT, P, L, THOMASON, Robert W. See LATCH, Dana May, TUCKER, Howard G. and WRIGHT, A, Larry. Asymptotic THRASH, Joe. Modifications of a nonlinear transforma jump distributions for processes with independent incre tion used to approximate improper integrals. Preliminary ments, A-625. report, A-321. TUNG, Chia-Chi. The minimal equation of a relative THURSTON, William. Homological uniqueness of in analytic hypersurface and conditions for rationality, A-635. variant measures, A-148. TUNNELL, Jerrold. Characters of supercuspidal re TIMONEY, Richard M. Bloch functions in several vari presentations of GL(2) over local fields, A-280, ables, A-286, TURETT, Barry. See SMITH, Mark A, A-766 TURNER, John C. See JERNIGAN, Robert. VOJTAS, Peter. See BALCAR, Bohuslav. TURNER, John C., BERNSTEIN, Larry H. and TSOKOS, von der MALSBURG, Christoph and WILLSHAW, David J. Chris P. Nonparametric classification scheme for the Development of topological mappings between neural detection of myocardial infraction. Preliminary report, sheets with evolution-type differential equations. Preli A-169. minary report, A-169, TURNER, R. E. L. See BONA, J. L. VO-THANH-LIEM. Factorizations of ftoee actions of TYMCHATYN, E. D. See GRISPOLAKIS, J. finite groups on Hilbert cube manifolds, Preliminary re UBHAYA, Vasant. An O(n) algorithm for discrete n-polnt port, A-258. convex approximation with convergence to continuous case, VREM, Richard. Lacunarity on compact bypergroups, A-242. A-458, UCCI, Jack. On Brown-Peterson (co) homology theories WADHWA, Bhush:in L. See BUONI, John J. of the EUenberg-MacLane space K(Z, 3). Preliminary re WADSWORTH Adrian R. See ELMAN, Richard, port, A-144. WAFI, Abdul. See KHAN, Huzoor H. ULLMAN, Joseph L. Norm and zero asymptotics of WAFI, Abdul, HABIB, Anwar and KHAN, Huzoor H. On extremal polynomials, A-283. generalized Bernstein polynomials, A-491. UMAR, Sarfaraz. See KHAN, Huzoor H. WAGE, M. See ODELL, E. UMAR, Safaraz and KHAN, Huzoor H. On the Fourier WAGON, Stanley. The saturation of a product of ideals, coefficients of differentiable functions, A-583, A-361. UNELL, Philip M. Selfadjointness of certain second-or WAGREICH, Philip. The structure of graded rings of der differential operators on a Riemannian manifold. Pre dimension 2, A-269; Singularities with C*-action and the liminary report, A-128. Weierstrass gap problem. Preliminary report, A-656. VAALER, Jeffrey D. Limit theorems for uniformly dis ---. See ORLIK, Peter. tributed p-adic sequences. Preliminary report, A-47. WAHL, Jonathan M. Simultaneous resolution and dis VAANANEN, Jouko. Higher order logic and set theory. criminantalloci, A-274. Preliminary report, A-15. WAHLBIN, Lars B. Local estimates and numerical inte VAMANAMURTHY, M. K. See GAULD, D. B. gration in the finite element method. Preliminary report, ---. See REILLY, I. L. A-380. VANAJA, N. See KETKAR, R. D. WAINGER, Stephen. See SHEA, Daniel, VANAJA, N. and KETKAR, R.D. On FR perfect modules, WALD, Joseph K. On starlike functions, A-661. A-229. WALKER, Carol L. and WARFIELD, Robert B., Jr. VAN DEN DRIESSCHE, P. See HETHCOTE, H. W. Unique decomposition and isomorphic refinement theo VANDEN EYNDEN, Charles. See CRITTENDEN, Richard. rems in additive categories, A-54. van DOUWEN, EricK. A basically disconnected normal WALKER, Philip W. An analysis of the sum of closed space I) with lpoJ-oJI = 1, A-365; Special bases for com operators, A-94. pact metrizable spaces,A-449; Products of normal ini WALLS, Gary L. Maximal subgroups with trivial inter tially k-compact spaces., A-667. section, A-478. VAN OOUWEN, Eric K. and FLEISSNER, William G. ---. See BERTHOLF, Dennis. Small compact spaces with no convergent sequences. Pre WALSH, John. Two-parameter martingales, A-22. liminary report, A-645. WALSH, JohnJ. See FINTUSHEL, Ronald. van DOUWEN, EricK. and van MILL, Jan. Parovicenko•s ---. See LAY, Terry L. characterization of pw-w implies CH, A-365; Spaces ---. See LEWIS, Wayne. without remote points, A-450. WAN, Y. -H. Generic bifurcations of varieties. Preli van DOUWEN, EricK., REED, G. M., LUTZER, D. J. minary report, A-254. and PELANT, J. Metric decompositions, A-139. WANG, Hwai-Chiuan. A note on Segal algebras on van MILL, Jan. Superextenslons of metrizable continua Euclidean spaces, A-456. are HUbert cubes, A-256; Not every K1-embedded sub WANG, Kai. The characteristic polynomials of Isolated space Is K0-embedded, A-450. complete intersection singularities, A-327; Resultants See van DOUWEN, Eric K. and generalized clrculants, A-517. van MILL, JanandMILLS, Charles F. Recent results on WANG, Stnart s. Some partial results on the Jacobian supercompactness, A-606. problem. Preliminary report, A-54. van MILL, Jan and WATTEL, Evert. Souslin dendrons, WANIURSKI, J. See RAHMAN, Q. I. A-256; An external characterization of spaces which ad WARD, James R. Periodic solutions of perturbed con mit binary normal subbases, A-364, servative systems, A-94. VAN WINTER, Clasine. Projection operators associated WARD, Joseph D. Approximation by compact operators with analytic multlparticle Hamiltonians, Preliminary on certain Banach spaces, A-374. report, A-320. ---. See ALLEN, G. D. VARGA, R. S. See SAFF, E. B. WARDLAW, William P. n-associative groupoids. Preli VARMA, Arun K. and PRASAD, J. Contribution to the minary report, A-44. problem of L. Fejer on Hermite-Fejer interpolation, WARE, Buck. A new small divisor condition. Prelimi A-376. nary report, A-700. VASCONCELOS, Wolmer. See CARRIG, James E. WARE, Roger. Quadratic forms, Witt rings, and 2-ex VAUGHAN, J. E. A countably compact space and its tensions, A-264. products, A-140. WARFIELD, Robert B., Jr. See GOODEARL, K. R. VAUGHAN, N.H. and YEAGY, R. W. Factoring ideals ---. See WALKER, Carol L. Into semiprlme ideals, A-56. WARNE, Ronson J. Orthodox semigroups. Preliminary VAUGHAN, Theresa P. Some remarks on an algorithm report, A-1; Inverse semigroup congruences on a stan of Minkowski. Preliminary report, A-53. dard regular semigroup, A-485; Normal regular semi- VAUGHAN-LEE, M. R. See DOYLE, J, K. groups, A-573. · VAUGHN, R. L. See LAKSHMIKANTHAM, V. WARNE, Ronson J. and LA FRANCE, Jane. Split ex VENEMA, Gerard A. See MATSUMOTO, Yukio. tensions and a class of simple semigroups. II, A-1. ---. See RUSHING, T. B. WARREN, Richard H. Discrete and countahly discrete VERDE-STAR, Luis. Continuity of linear operators be maps, A-136. tween vector sequence spaces, A-533. WASHBURN, Sherwood. On the moduli of plane curve VERHEIDEN, Eric. Integral and rational combinatorial singularities. II, A-670, matrix completions, A-30. WASHINGTON, Lawrence C. Class numbers and Z -ex- VERMA, s. On weighted drops and Fourier's coefficients. tensions, A-513. P Preliminary report, A-396; On a relaxed condition of dif WATKINS, Mark E. See HOLTON, Derek A. ferentiability. Preliminary report, A-619, ---. See RUSSO, Paula A. VERNER, J, H. Families of Imbedded Runge-Kutta WATKINS, William. See MERRIS, Russell. methods. Preliminary report, A-402. WATSON, BUl. Almost contact submersions. Prelimi VITALE, Richard A. A Korovkin result for set-valued nary report, A-134. functions, A-531; Areas of random sets, A-627. WATTEL, Evert. See van MILL, Jan. A-767 WEBER, Robert James. Noncooperative games, A-672, of a cyclic group algebra variable. Preliminary report, WEBSTER, S. M. A vanishing theorem for the tangential A-656, Cauchy-Riemann complex. Preliminary report, A-402; ---. See GREGORY, John. On mapping ann-ball into an (n + 1) - ball in complex WILLIAMS, David L. See SHIELDS, Allen L. space, A-524. WILLIAMS, Kenneth S. Some congruences for class num WEIL, Clifford E. See LAU, Ka-Sing. bers of quadratic fields, A-578, WEINBERGER, Peter J. Number theoretic questions in WILLIAMS, Scott W. The effectiveness of nets of cardi computer authentication, A-303, nal X1. Preliminary report, A-138; Spaces whose closed WEINER, Howard J. Sequential random packing in the sets are cofinally similar to the closed intervals of a line. plane. Preliminary report, A-326. Preliminary report, A-668, WEINMAN, David, See KURTZ, Larry. WILLIAMS, W. Wiley, See EBERHART, Carl, WEINTRAUB, ·steven H. Inefficiently embedded surfaces WILLIAMSON, Frank, Jr. Hilbert's direct method for in 4-manifolds, A-451. the Dirichlet Principle as an antecedent of numerical ---. See GREENE, R. E. methods in the calculus of variations. Preliminary report, WEISS, Gary. Commutators of Hilbert-Schmidt opera A-611. tors. I, A-232; Commutators of Hilbert-Schmidt opera WILLIAMSON, Jack, See HELLERSTEIN, Simon. tors. II, A-352, WILLIAMSON, T, E. Geometric estimation of x + Tx = 0 WEISS, Guido. See TAIBLESON, Mitchell. for monotone-type operator T in Hilbert space, A-238, WEISS, N. A, See CRANWELL, Robert M. WILLSHAW, David J. See von der MALSBURG, Christoph. WEISSLER, Fred B. Two-point inequalities, the Hermite WILSON, James A. Some biorthogonal rational func- semigroup, and the Gauss-Weierstrass semigroup, A-128, tions, Preliminary report, A-295, WEIT, Yitzhak. See RUBINSTEIN, Zalman. WILSON, Lynn 0. Crystal growing, A-166, WELCH, R. L. W. and TSOKOS, C.P. Multivariate non WILSON, R. L. Semigroups supporting unique compact Gaussian Bayes discriminant analysis, Preliminary re Hausdorff topologies, Preliminary report, A-43. port, A-158, WILSON, W. Stephen, See LATCH, Dana May, WELLS, R. 0., Jr. Holomorphic representation of so WINKELNKEMPER, H. E. On twist maps of the annu lutions of the zero-rest-mass field equations, A-88. lus, Preliminary report, A-19, WENDEL, J. G. Hitting spheres. Preliminary report, WINKLER, Peter M. Straight-line computation in ab A-151, stract algebra. Preliminary report, A-25, WENSTON, Paul R. A well-posed boundary-value prob WINTERNITZ, P. A classification of maximal Abelian lem for partial differential operators of principal type. subgroups of the classical Lie groups and its applications Preliminary report, A-528, in physics, A-299. WEST, Douglas B, See GRIGGS, Jerrold R. WITTEN, Matthew. Conjugacy classes in the "simplest WEST, Douglas B. and KLEITMAN, Daniel J, Skew chain dynamical system", A-16; Iterative population models, orders andsetsofrectangles. Preliminary report, A-38, harvesting, and enrichment. Preliminary report, A-244; WESTON, Kenneth W. Commutator equations over free An interesting density-dependent extinction process, nilpotent class 2 groups, Preliminary report, A-75. A-358; A generalized density-dependent model with time WEYER, J. Maximal monotonicity of operators of the lag, and time-dependent harvest, A-434; A new method form L*•L, Preliminary report, A-700. for uniquely classifying n-dimensional, m-color rectan WHEELER, William H. Model theory of fields, A-506, gular patterns, A-493; A study of the equation WHITE, Arthur T. See GOLDSMITH, Donald L, x + (2k1x + ,81)x + .82x(x +Yo)= 0, A-595, WHITE, NeilL. See METROPOLIS, N. ---. See DUNCAN, Robert C. WHITE, R. E. A sharp maximum principle for elliptic WITTEN, Matthew, GLASSMAN, Armand and BENNETT, operators of second order with discontinuous coefficients, Beth. A kinetics study of an Abrin single pulse experi A-100, ment, A-495. WHITEHEAD, Earl Glen, Jr. Four-discordant permuta WOEPPEL, James J. Small critical groups having central tions, A-33, monoliths of a nilpotent by abelian product variety of WHITEHEAD, James, On projective modules. Prelimi groups, A-74. nary report, A-64, WOGEN, Warren, See CIMA, Joseph A. WHITELEY, Walter J. Dependent plane frameworks and WOHLGEMUTH, Andrew. Labeling serological reagents projected polyhedra, A-642, using the matrix equation A = X[XTD - xTC], A-437. WHITNEY, Hassler. Fostering and hindering creativity WOLF, Edwin M. Smoothness properties of functions in in mathematics, A-555, R2(X) at certain boundary points. Prelimimry report, WHITNEY, S. See GRATZER, G. A-120, WHITTAKER, James V. The distribution of means for WOLF, Joseph A. Completeness of Poincare series for random variables after round-off, A-463, automorphic cohomology. Preliminary report, A-404. WHYBURN, Lucille. An American in Gllttingen 1926-1927: WOLFE, John. C(a) preserving operators on C(K) spaces, Letters from Kline to R. L. Moore, A-24, A-291. WICKE, Howard H. A functional characterization of pri ---. See JOHNSON, Jerry. mitive base, A-138; Monotonic ,8-spaces and 11-diagonals. WOLFE, Peter. On diffracted wave fronts, A-307, Preliminary report, A-328; A generalization of 11-space WOLFE, Robert J. See SINGER, David A. and point-countable base, A-668, WOLFE, Stephen James. On the behavior of characteris WICKLESS, William J. T as an 5:f' submodule of G. Pre tic functions, A-156, liminary report, A-574; A-575. WOLFF, Edward F. N-dimensional measures of depen WIEGAND, Roger. Algebras whose finitely generated dence derived from copulas. Preliminary report, A-159, modules are direct sums of cyclics, Preliminary report, WOLITZER, Donald L. Immersions of surfaces in R2. A-61; Homeomorphisms of affine surfaces over a finite Preliminary report, A-539, field, A-370. WOLLMAN, Stephen. Global-in-time solutions to the WIEGAND, Sylvia. The spectru.ni of tvvo dimensional two-dimensional Vlasov-Poisson system, A-489. Noetherian rings. Preliminary report, A-55, WOLPERT, R. A strong Markoff property for multi WIGGINS, Kenneth L, Best Lp approximate solutions of parameter processes, A-154. nonlinear integro-differential equations, A-107. WOLPERT, Scott. Geometry of the spectrum for com WILCOX, Calvin H. Uniqueness theorems for displace pact Riemann surfaces, A-397; An asymptotic formula ment fields with locally finite energy in linear elastosta for Taylor coefficients of automorphic forms. Prelimi tics, A-320, nary report, A-634. WILCOX, Calvin H. and GUILLOT, J, C, Scattering WONG, James C. S. Almost periodic functionals on theory for acoustic diffraction gratings. Preliminary re semigroups. Preliminary report, A-585, port, A-356, WONHAM, W. M. Linear multivariable control. Geo WILF, Herbert. See GREENE, Curtis. metric formulation, A-406, WILKERSON, Ralph W. Holomorphic functions on the WOOD, B. See EISENBERG, S. group algebra of the symmetric group, A-81; Power series WOOD, Bruce and SWETITS, John. Quantitative estimates A-768 for Lp approximation with positive linear operators, A-106. ZADROZNY, WlOdzimierz. On transfinite descending se WOOD, Carol. See SARACINO, Dan. quences of models HOD. Preliminary report, A-646. WOOD, David H. Inverting Schrtldinger transforms, Pre ZAFRAN, Misha. On the symbolic calculus in homoge liminary report, A-454. neous Banach algebras, A-430; Spectral theory and inter WOOD, John W. Decomposition of complete intersections polation of operators, A-492. via plumbing. Preliminary report, A-327. ZAGUSTIN, Anatol and ZAGUSTIN, Elena. Hydrodynamic WOODIN, Hugh. Elementary embedding of the universe analogy for two dimensional elasticity problems, A-323; into generic extensions. Preliminary report, A-645. Finite element hydrodynamics analogy for moment deter WOODROW, Robert E. See ROSE, Bruce I. mination in plates, A-382; Mixed boundary value problem WOODS, Grant. See BELL, Murray. of plane elasticity. via hydrodynamic analogy, A-397. WOODWARD, Gordon S. See McGEHEE, 0. Carruth. ZAGUSTIN, Elena. An initial value problem for numerical WORRELL, J. M., Jr. See REED, J. N. solution of two arbitrarily oriented cracks in an elastic WORTH, R. E. See MASSEY, F. A. plane, A-323. WOYCZYNSKI, Wojbor A. Limit properties of martin ---. See KALABA, Robert. gales and submartingales in Banach spaces, A-297. ---. See ZAGUSTIN, Anatol. WRIGHT, A. Larry. See TUCKER, Howard G. ZAIDMAN, S. On some series of symbols, A-583; Some WRIGHT, Alden H. See MEYERSON, Mark D. remarks concerning regularity of solutions of abstract WRIGHT, Lynne C. See LEWIS, Roger T. differential equations, A-629; Notes on abstract-Bochner WRIGHT, Steve. Derivations on C*-algebras. Prelimi almost periodicity, A-698. nary report, A-119; Splitting singly-generated C*-alge ZAKS, Joseph. Few Hamiltonian results, A-270. bras. Preliminary report, A-433. ZALCMAN, Lawrence. Modern perspectives on classi ---. See TSUI, Sze-Kai. cal function theory, A-654. WU, H. See GREENE, R. E. ---. See CHANG, Sun-Yung A. WU, Hung-Hsi. On Kobayashi's theory of projective hyper ZAL!K, Ricardo. On some gap theorems and the closure bolicity, A-360; Distinguished exhaustion functions on cer of translates, A-314. tain complete Riemannian manifolds, A-439. ZAME, William R. See BECKER, Joseph A. WU, Pei Yuan. Hyperinvariant sub spaces of Cu contrac ZAMFffiESCU, Cristina-Maria. See SIMOES-PEREmA, tions, II. Preliminary report, A-7; Hyperinvariant sub J. M.S. spaces of weak contractions. Preliminary report, A-230; ZARANTONELLO, Sergio. A representation of HP-func Bi-invariant subspaces of weak contractions. Preliminary tions with 0< p < 1, A-659. report, A-429; Jordan model for C1· contractions. Pre ZASLAVSKY, Thomas. The lattice of forests of a graph. liminary report, A-592; Double commutants of C1 con Preliminary report,A-424. tractions. Preliminary report, A-699. ZASSENHAUS, Hans J. On the 4 group theorem, A-520. WU, Yel-Chiang. Low dimensional cohomology groups of ---. See. FORD, David. associative algebras. Preliminary report, A-628. ZEITLIN, David. An inequality for a class of polyno ---. See CHENG, Charles Ching-An. mials, A-9; Parametric solutions for two equal sums of WULCZYN, Gre!\\'ry. Real quadratic identities for evalu three cubes, A-229; On complementary sets of positive ating L~1P(x)FJ A-769 Annual Mathematical Reviews Indexes 1973-1977 Now Up-To-Date And Available At Reduced Prices The INDEX OF MATHEMATICAL PAPERS, or IMP, has been the annual index to MATHEMATICAL REVIEWS since 1973. Each volume is published in two parts, an author index with complete bibliographic data on each article or book reviewed, and a subject index listing author, title and MR number. These indexes have ex perienced delays in publication, but with the publication in 1978 of Volumes 7, 8 and 9, covering 1975-1977, we are happy to announce three significant developments: Volume 10 and all future volumes will appear concurrently with the December issues of MR. Subscribers to MR will receive them free as part of the subscription. 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Not only are these annual indexes faster to use than the semi annual indexes that have been included with subscriptions up to now, because of the longer time span covered by each, but the subject indexes are considerably more con venient inasmuch as titles of articles are included in IMP, but not in the semi-annual indexes. Those who want to save on shelf space can have an "abridged" set of MR, in the form of its annual indexes, and at considerable saving in cost. Prepayment is required for all American Mathematical Society publications. Send for the book{s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901. A-770 /' '\ MATHEMATICAL DEVELOPMENTS ARISIN(; FROM HILBERT PROBLEMS Edited by FELIX E. BROWDER Hilbert's original article 1 Problems of present day mathematics by the Editor Hilbert's 1st problem: the continuum hypothesis by Donald A. Martin What have we learnt from Hilbert's 2nd problem? by G. Kreisel Problem 4: Desarguesian spaces by Herbert Busemann Hilbert's 5th problem and related problems on transformation groups by C. T. Yang Hilbert's 6th problem: mathematical treatment of the axioms of physics by A. 5. Wightman Hilbert's 7th problem: on the Gel'fond-Baker method and its applications by R. Tijdeman Hilbert's 8th problem: an analogue by E. Bombieri An overview of Deligne's proof of the Riemann hypothesis for varieties over finite fields (Problem 8) by Nicholas M. Katz Problems concerning prime numbers (Problem 8) by Hugh L. Montgomery Problem 9: the general reciprocity law by j. Tate Hilbert's 1Oth problem. Diophantine equations: positive aspects of a negative solution by Martin Davis, Yuri Matijasevic and julia Robinson Hilbert's 11th problem: the arithmetic theory of quadratic forms by 0. T. O'Meara Some contemporary problems with origins in the jugendtraum (Problem 12) by R. P. Langlands The 13th problem of Hilbert by G. G. 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Box 1571, Annex Station PROVIDENCE, RHODE ISLAND 02901, U.S.A. A-771 INDEX Volume 25 (1978) The pages of the eight issues of the cNotiaiJ for 1978 are as follows: January: 1-70, A-1-A-218 August: 269-352, A-477-A-568 February: 71-150, A-219-A-346 October: 353-460, A-569-A-692 April: 151-208, A-347-A-416 November: 461-520, A-693-A-736 June: 209-268, A-417-A-476 December: 521-602, A-737-A-774 ABSTRACTS PRESENTED TO THE SOCIETY, A-1, A-219, Problems in Communication, Memorandum to A-347, A-417, A-477, A-569, A-693 Members from AMS Committee to Monitor, Errata, 167 Volume 24: A-175, A-463 Research Announcements, Report of the AMS Volume 25: A-408, A-463, A-557, A-674, A-720 Committee on, 126 Index of Abstracts, Volume 25, A-737 Elections and Nominations Short Course Abstracts, A-406, A-671 Election Information, 305 Symposium Abstracts (Washington, D. C, ), A-174 The Nominating Committee for 1979, 180 Nomination Petition (for Nominating Committee ACKNOWLEDGEMENTS, 320 of 1979-1980), 181 President's Candidates for the Nominating AMS REPORTS AND COMMUNICATIONS, 69, 149, 200, Committee, 1979-1980, 231 259, 343, 453, 511 Nominations for Vice-President or Member Business Meetings of the Society, at-Large, 178 Atlanta, 202 Nomination Petition, 179 Providence, 513 Council Nominations for Vice-President and Candidates Nominated for the 1978 Elections, 514 Member-at-Large, 231 Committee Appointments, 69, 149, 200, 259, 511 Suggestions for 1979 Nominations, 305 Corporate Members and Institutional Associates, 324 Council Meetings of the Society, Employment Atlanta, 201 Annual AMS Survey, Twenty-first, 99 Columbus, 262 Employment of Mathematical Sciences Dues Increase, 200 Doctorates, Fall 1977, 99 Officers of the Society 1977 and 1978, 204 Course Loads, Faculty Size, and Teaching Reports of Meetings, Loads, 104 The October Meeting in Wellesley, 70 Two-Year College Survey, AMS, 106 The October Meeting in West Lafayette, 70 Annual AMS Survey, Twenty-second, 390 The Fall Meeting in Memphis, 149 Faculty Salaries, Tenure, Women, 390 The November Meeting in San Luis Obispo, 150 Salary Survey for New Recipients of the The Annual Meeting in Atlanta, 201, 259 Doctorate, 395 The March Meeting in Columbus, 261 Report on the 1978 Survey of New The March Meeting in New York, 345 Doctorates, 396 The April Meeting in Houston, 345 Doctorates Conferred in 1977-1978, 400 The Spring Meeting in San Francisco, 346 Appointment, Promotion, and Tenure Patterns, The June Meeting in Eugene, 453 428 The Summer Meeting in Providence, 512 Case Studies, Some Mathematicians with Report of the Treasurer, 343 Nonacademic Employment, 115 Doctorate Recipients, 1977 Survey of, 311 APPLICATION DEADLINES FOR ASSISTANTSHIPS AND Doctorates in Mathematics and Related Areas FELLOWSHIPS, A-179, 454, 507 (July 1971-June 1976), 108 Employers• Viewpoint on Nonacademic ARTICLES, By Author Employment (Panel Discussion), 184 R, C. Atkinson, 481 R, Hermann, 422, 423 Membership Survey, 1976, 57 L, K, Barrett, 104 J, A, Krumhansl, 481, 488 Nonacademic Salary Survey, Report on the R, Brockett, 422 S, Mac Lane, 488 1977 AMS, 307 G, F. Carrier, 423 C. Martin, 422 Part-Time Employment of Ph. D. •s, 421 J. W. Daniel, 428 B. McMillan, 184 Supply vs. Demand for Faculty Members in J, A. Dewar, 186 W. H. Pell, 306 Applied Fields Among Departments not W, H. Fleming, 99, 106, R. J. Thompson, 307 Granting Doctorates, 107 107. 396, 421 D. H. Wagner, 188 S, Winograd, 185 Miscellaneous J. C. Goodwin, 237 Combined Membership List Deadline Extended, 389 ARTICLES, By Subject Copyright, New Regulations, 109 Committee Reports Mathematical Sciences Employment Register, 430 Affirmative Action Procedures, Report of Open Letter from President R, H, Bing, 231 the Ad Hoc Co111mittee, 237 Retired Mathematicians, 430 Bulletin-New Series, 126 Engineering and Scientific Mathematics, National Science Foundation Report on, 422 Budget (for Fiscal 1979), 189 Page Charges, Report of the Ad Hoc Mathematical Sciences Research Institute, NSF Committee, 232 Considers the Establishment of, 481 A-772 Regional Research Conferences in the William Casselman, San Francisco, 160 Mathematical Sciences, NSF Seeks Jeff Cheeger, Atlanta, 2 Proposals for, 319 Alexandre Joel Chorin, San Francisco, 160 Research Proposals Submitted to the Joel E. Cohen, Atlanta, 2 Mathematical Sciences Section, NSF, 306 Ronald R. Coifman, Chicago, 462 Charles W. Curtis, Atlanta, 2 ASSlSTANTSffiPS AND FELLOWSffiPS, Ronald G. Douglas, New York, 85 In the Mathematical Sciences David Drasin, Syracuse, 361 In 1978-1979 (Supplementary List), 135, 247 Todd Dupont, Houston, 152 In 1979-1980, 523 Alan Durfee, New York, 85 Stipends for Study and Travel, 585 Robert D, Edwards; Atlanta, 2 Fred Galvin, Houston, 152 BACKLOG OF MATHEMATICS RESEARCH JOURNALS, William P. Hanf, Eugene, 210 134, 326 John P, Hempel, Houston, 152 Peter J. Hilton, Columbus, 72 BUSINESS MEETINGS OF THE SOCIETY, Arthur Jaffee, New York, 85 Atlanta, January, 202 Donald E. Knuth (Gibbs Lecturer), Atlanta, 2 Providence, August, 513 Irwin Kra, Syracuse, 361 Joseph Lipman, Columbus, 72 CLASSIFIED ADVERTISEMENTS, A-176, A-332, A-408, Andy R. Magid, Houston, 152 A-464, A-556, A-675, A-719 Boris Moishezon, Providence, 270 John W. Morgan, Providence, 270 COMMITTEE ON EMPLOYMENT AND EDUCATIONAL Anil Nerode, Providence, 270 POLICY, Statement, 522 Steven Orey, Columbus, 72 Peter P, Orlik, Chicago, 462 COUNCIL MEETINGS OF THE SOCIETY, Ralph S. Phillips, Claremont, 354 Atlanta, January, 201 James V. Ralston, Providence, 270 Columbus, March, 262 Paul J. Sally, Jr., Columbus, 72 Murray M, Schacher, Eugene, 210 DEATHS OF MEMBERS OF THE SOCIETY, Michael Schlessinger, Charleston, 370 J, W. Armstrong, 245 G. Kuerti, 500 Oved Shisha, New York, 85 E. G. Begle, 245 K, 0. May, 245 Barry Simon, New York, 85 S, W, Borden, 500 R. M. Meisel, 500 Yum Tong Siu, Atlanta, 2 H. E. Bray, 500 J. R, Overman, 327 Robert I. Soare, Atlanta, 2 G. Cooke, 144 J. Rackusin, 144 Thomas Spencer, Atlanta·, 2 R. Davies, 199 H. W. Raudenbush, 500 Daniel W. Stroock, Claremont, 354 J, T. Day, 61 W. T, Reid, 61 Michael E. Taylor, Atlanta, 2 K. DeLeeuw, 431 E. V. Schenkmann, 245 Hassler Whitney (Special Lecturer), Providence, 270 J. B. Diaz, 327 R, C. Seber, 500 Lawrence Zalcman, Charleston, 370 A. Erdelyi, 144 S, K, Singh, 199 Hans J. Zassenhaus (Special Lecturer), Providence, 270 E. T. Frankel, 500 A. Strauss, 245 0. A. Frostman, 500 C,A,E, Swanson, 61 K. Gtldel, 144 E. L. Swanson, 245 H. H. Hansen, 500 W. R, Talbot, Sr., 245 LETTERS TO THE EDITOR, 65, 122, 190, 240, 330, 425, 489 F. S, Harper, 61 E. McC. Torrance, 199 M, Artin, et al., 495 V. Levit, et al., 123 M. Ismail, 500 D. A. Waller, 500 R. G. Bartle, 65, 240, 241 L. Lorch, 243 J. B. Jackson, 500 H. -c. Wang, 500 K. Beck, 243 S, Mac Lane, 489, 490 F. E. Johnston, 245 F. M. Weida, 61 E. S, Boylan, 426 R, McFadden, 425 G. M, Julia, 245 H. P. Wirth, 199 s. Christiansen, 241 R, L. Merris, 240 H. Cohn, 426 P, T, Mielke, 122 DOCTORATES CONFERRED, M. Cowling, 122 J. Mitchem, 425 In 1976-1977 (Supplementary List), 56, 138 J, S, Crowell, 331 P, E. Newstead, 65 In 1977-1978, 400 A. K, Dewdney, 243 L, Nirenberg, et al., 495 J. L. Doob, et al,, 495 C. D. Offner, 425 EMPLOYMENT INFORMATION IN THE MATHEMATICAL A. Drook, et al., 123 C. W. Patty, 330 SCIENCES, 325 J. Gil de Lamadrid, 426 R, Phillips, et al., 495 Subscription Forms, A-559, A-560, A-679, A-680 A. M. Gleason, 243 G. Piranian, 244 J. Green, 240 V. Pless, et al., 124 EMPLOYMENT REGISTER, 430 o. Hajek, 122 G. J, Rieger, 65 Preregistration Forms, A-677, A-678, A-733, A-734 L. Hay, et al., 124 B. I. Rose, 241 Summer Employment Register (Applicant), A-473 I. N. Herstein, et al. , 495 A. Rosenberg, et al. , 495 N. Jacobson, et al., 495 P. Schultz, 331 ERRATA, A-175, 137, 191 M, Kac, et al., 495 I. E. Segal, 498, et al. ,495 J. Kiefer, et al., 495 I, M. Singer, et al,, 495 ERRATA TO ABSTRACTS, R. C. Kirby, 190 D. C. Spencer, et al., 495 Volume 24: A-175, A-463 D. A. Klarner, 124 S, H. Stahl, 125 Volume 25: A-408, A-463, A-557, A-674, A-720 M. M. Klawe, 427 G. Stolzenberg, 242 J, J. Kohn, 492, et al., 495 K, Uhlenbeck, et al,, 124 INTERNATIONAL CONGRESS OF MATHEMATICIANS, B. Kostant, et al. , 495 G. Vladutz, et al. , 123 110, 182, 258 H. W. Kuhn, et al., 495 A. Wilansky, 244 A. Lebow, 123 A. Yoffee, et al., 241 INVITED SPEAKERS AT AMS MEETINGS, D. H. Lehmer, 331 A. Zygmund, et al., 495 James G. Arthur, Providence, 270 E, Lehmer, 331 Michael Barratt, Syracuse, 361 Hyman Bass (Colloquium Lecturer), Atlanta, 2 Joan S. Birman, Atlanta, 2 MEETINGS OF THE AMS Spencer Bloch, Providence, 2 70 Abstracts Presented at Meetings of the Society, A-20, Raoul H. Bott, Providence, 2 70 A-261, A-368, A-452, A-501, A-611, A-710 Roger W. Brockett, Charleston, 370 Calendars of Meetings, Inside Front Cover Donald J. Brown, Providence, 270 Invited Speakers at AMS Meetings, 55, 98, 165, 226, Sylvain Cappel!, Syracuse, 361 300, 369, 479 A-773 Preliminary Announcements, REPORTS AND COMMUNICATIONS (AMS), 69, 149, 200, March: Columbus, 49 259, 343, 453, 511 New York, 51 April: Houston, 52, 94 RESERVATION AND PREREGISTRATION FORMS, A-218, San Francisco, 53, 95 A-415, A-471, A-475, A-567, A-691, A-736 June: Eugene, 96, 166 August: Providence, 168, 214 SEMINARS AND INSTITUTES, October: Claremont, 227, 298 1978 Summer Research Institute on Harmonic Analysis Syracuse, 227, 299 in Euclidean Spaces and Related Topics, November: Charleston, 228, 301 Williamstown, Chicago, 303, 377 Announcements, 54, 97 January 1979: Biloxi, 378, 466 Final Report, 389 March 1979: Honolulu, 303, 388, 478 1978 Summer Seminar in Applied Mathematics, Programs of Meetings (Noulinear Oscillations in Biology), Salt Lake January: Atlanta, 2 City, 53, 97 March: Columbus, 72 York, 85 New SHORT COURSES, (See Meetings) April: Houston, 152 Francisco, 160 San SITUATIONS WANTED, A-175, A-335, A-408, A-464, June: Eugene, 210 A-557, A-674 August: Providence. 270 October: Claremont, 354 SPECIAL MEETINGS INFORMATION CENTER, 62, 128, Syracuse, 361 192, 248, 328, 439, 503 November: Charleston, 370 Chicago, 462 Short Courses Numerical Analysis, Atlanta, 3 SUBJECT CATALOGS OF AMS PUBLICATIONS, Introduction to Systems and Control Theory Algebra, 263 for Mathematicians, Providence, 169, Functional Analysis, 455 215, 271 (Abstracts, A-406) Logic and Foundations, 347 Game Theory and its Applications, Biloxi, Number Theory, 515 379, 467 (Abstracts, A-671) Numerical Analysis and Computer Science, 205 Special Sessions, Organizers and Topics, 55, 98, Topology, 139 165, 230, 304, 376, 479 NEW AMS PUBLICATIONS, 147, 196, 247, 339, 451, 509 (See also Subject Catalogs of AMS Publications) SURVEY, ANNUAL AMS, 99, 390 NEWS ITEMS AND ANNOUNCEMENTS, 54, 68, 70, 118, SYMPOSIA, 191, 254, 332, 432, 501 Symposium on Some Mathematical Questions in Biology, Washington, D. C., 48 (Abstracts, A-174) OFFICERS.AND COMMITTEE MEMBERS OF THE Houston, Texas, 388, 465 SOCIETY, 336 The Geometry of the Laplace Operator, Honolulu, 303, 388, 478 ORGANIZERS AND TOPICS OF SPECIAL SESSIONS, 55, Mathematical Problems in Fracture Mechanics, 98, 165, 230, 304, 376, 479 New York, 51, 85 Relations Between Combinatorics and other Parts of PERSONAL ITEMS, 60, 144, 199, 245, 327, 431, 499 Mathematics, Columbus, 50, 74 QUERIES, 67, 145, 197, 252, 334, 424, 506 TRAVEL INFORMATION REQUEST FORM (Honolulu), A-690 RECIPROCITY AGREEMENTS (AMS), 315 VISITING MATHEMATICIANS, 442 Supplementary List, 514 Supplementary List, 66, 138, 510 MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY BOUNDS ON TRANSFER PRINCIPLES closed fields of characteristics 0 and p or between com FOR ALGEBRAICALLY CLOSED plete discretely valued fields of characteristics 0 and p AND COMPLETE DISCRETELY VALUED FIELDS follow and yield a bound for the exceptional primes in we derive a bound on the by Scott Shorey Brown the Artin Conjecture. Finally, characteristic of the base field of a complete discretely valued field which ensures that a power series in one This memoir begins with a unified treatment of variable over the valued field which represents an alge computationally efficient decision procedures for the ad braic function will converge up to the nearest singularity ditive group of rational numbers, the ordered additive of the algebraic function. group of integers, and the ordered field of real numbers. Analogous procedures are developed for algebraically Number 204 closed fields and complete discretely valued fields when 96 pages the characteristic of the field is zero or is large compared List price S7.60; member price $5.70 to the length of the statement whose truth is to be ISBN 0-8218-2204-7; LC 78-9121 determined. Bounds for the size of p required to apply Publication date: July 31, 1978 the classical transfer principles between algebraically To order, please specify MEM0/204 Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, RI 02901 A-774 MATHEMATICAL SURVEYS The three most recent volumes in this distinguished series £_,.&1 SYMPLECTIC GROUPS \1~~· 0. T. O'Meara This volume, the sequel to the author's Lectures approach used in the book is instrumental in ex· an Linear Groups, is the definitive work on the iso· tending the theory from subgroups of PSpn (n ;;;. 6) morphism theory of symplectic groups over integral where it was known to subgroups of PrSpn (n ;;;. 4) domains. Recently discovered geometric methods where it is new. There are extensive investigations which are both conceptually simple and powerful in and several new results on the exceptional behavior their generality are applied to the symplectic groups of PrSp4 in characteristic 2. for the first time. There is a complete description of The author starts essentially from scratch (even the isomorphisms of the symplectic groups and their the classical simplicity theorems for PSpn (F) are congruence subgroups over integral domains. lllustra· proved) and the reader need be familiar with no tive is the theorem PSPn(o):!; PSpn 1 (o 1 ) ~ n = n 1 more than a first course in algebra. and o :!; o1 for dimensions ;;;. 4. The new geometric Volume 16, 128 pages. List price $22.80, member price $17.10. ISBN 0-8218-1516-4; LC 78-19101 Publication date: August 31, 1978. To order, please specify SURV/16 GEOMETRIC ASYMPTOTICS Victor Guillemin and Shlomo Sternberg There has been a great deal of active research linear partial differential equations than existed recently in the fields of symplectic geometry and the heretofore, together with a good deal of geometric infor· theory of Fourier integral operators. In symplectic mation associated with the spectra of such operators. geometry there has been much progress in under· These two subjects are modern manifestations of themes standing the geometry of dynamical systems, and the that have occupied a central position in mathematical process of "quantization" as applied not only to the thought for the past three hundred years -the relations theory of dynamical systems, but also as a key tool between the wave and the corpuscular theories of light. in the analysis of group representations. Fourier The purpose of this book is to develop these themes, integral operators have made possible a much more and present some of the recent advances, using the lan· systematic analysis of the singularities of solutions of guage of differential geometry as a unifying influence. Volume 14, 474 pages, 1977, List Price $34.40; AMS Member price $25.80. Specify code SURV/14 VECTOR MEASURES joseph Diestel and j. jerry Uhl, jr. In this survey the authors endeavor to give a Chapter V deals with martingales of Bochner integrable comprehensive examination of the theory of measures functions and their relation to dentable subsets of Banach having values in Banach spaces. The interplay between spaces. Chapter VI is devoted to a measure-theoretic topological and geometric properties of Banach spaces study of weakly compact, absolutely summing and nuclear and the properties of measures having values in Banach operators on spaces of continuous functions. spaces is the unifying theme. In Chapter VII a detailed study of the geometry of The first chapter deals with countably additive Banach spaces with the Radon-Nikodym property is given. vector measures, finitely additive vector measures, The next chapter deals with the use of Radon-Nikodym the Orlicz-Pettis theorem and its relatives. Chapter theorems in the study of tensor products of Banach spaces. II concentrates on measurable vector valued functions The last chapter concludes the survey with a discussion and the Bochner integral. of the Liapounoff convexity theorem and other geometric Chapter Ill begins the study of the interplay properties of the range of a vector measure. among the Radon-Nikodym theorem for vector meas· Accompanying each chapter is an extensive survey of ures, operators on L 1 and topological properties of the literature and open problems. Banach spaces. A variety of applications is given in the next chapter. Volume 15, 322 pages, 1977, List price $35.60; AMS Member price $26.70. Specify code SURV/15 Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901 VOLUMES 5 and 6 now ready ENCYCLOPEDIA OF MATHEMATICS and Its Applications GIAN-CARLO ROTA, Editor Department of Mathematics, M.I. T. i-- Volume 5 Volume 6 THERMODYNAMIC FORMALISM PERMANENTS The Mathematical Structures of Classical Section: Linear Algebra EquiHbrium Statistical Mechanics Henryk Mine, University of California, Section: Statistical Mechanics Santa Barbara David Ruelle. lnstitut des Hautes Etudes Foreword by Section Editor, Scientifiques Marvin Marcus, University of Foreword by Section Editor. California, Santa Barbara Giovanni Gallavotti,/stituto Matematico The purpose of this volume is to give a Universita, Roma complete account of the theory of-permanents, This volume is a description of mathematical their history and applications, in a form structures underlying the thermodynamic accessible not only to mathematicians but formalism of equilibrium statistical also to workers in various applied fields.and mechanics in the simplest case of classical to students of pure and applied mathematics. lattice spin systems. The book includes an historical account of Although the thermodynamic formalism has the development of the subject, a list of its origins in physics. it has now invaded unresolved conjectures and unsolved topological dynamics and differentiable problems. and a comprehensive bibliography dynamical systems. The text addresses listing all publications on the subject. Each diverse questions applying to the latter as entry is accompanied by a short abstract. well as traditional problems of statistical Contents: The Theory of Permanents in the mechanics. like that of phase transitions. Historical Order of Development. Properties The general theory is developed in of Permanents. (0.1 )-Matrices. Lower Bounds some detail. for Permanents. The Van Der Waerden Contents: lntroduction.TheoryofGibbs States. Conjecture. Upper Bonds for Permanents. Gibbs States: Complements. Translation Evaluation of Permanents. More About Invariance-Theory of Equilibrium States. Permanents. (Problems at the end of each Connection between Gibbs States and chapter). Bibliography .Index to Bibliography. Equilibrium States.One-Dimensional Systems. Index of Symbols. General Index. Extension of the Thermodynamic Formalism. 1978, XVIII, 205 pp., illus. 0-201-13505-1 $21.50 Statistical Mechanics on Smale Spaces. ~ 1.1.1 Appendices: Miscellaneous Definitions and Volume 7: MEASUREMENT THEORY Results; Topological Dynamics; Convexity; With AppUcatlons to Declsionmaking, u Measures and Abstract Dynamical Systems; Utility, and the Social Sciences ~ Integral Representations on Convex Compact Section: Mathematics in the Social Sciences ..J Sets. Open Problems. Flows. References. Fred S. Roberts, Rutgers 'university < 1979, in preparation u Subject Index. (Notes and Exercises at the i= ~ "a "2 end of each chapter). 5 111 < ~~~h:~ ..l~~~,~3. ~~ri~~~i:~~~~!t rt~~~~~~~~!;,~-:~r;:i~::p:!!~~·nv::.ru:~'i~::·h :E c a illl' .J! 1978. xx, 11!3 pp., illus. 0-201-13504-3 $21.50 l'riu•!> Mahjl'l I In • hanM .. \\ ithnut nuli••• 1.1.1 ~ :::r::: .::! The Encyclopedia is open-ended - continuation orders are invited. 1- ~ < "a ~ Detailed brochure available upon request from: :E ..,.00 _g N ell!: ro z \I) :1 Addison-Wesley Pnbllshlng Company, Inc. ~- < l(