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Louisville Meetings (January 25-28)- Page 23

Notices of the American Mathematical Society

january 1984, Issue 231 Volume 31, Number 1, Pages 1-136 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at sp~cial sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING# DATE PLACE ABSTRACT DEADLINE ISSUE 809 january 25-28, 1984 Louisville, NOVEMBER 2, 1983 January (90th Annual Meeting) 1984 810 April 6-7, 1984 Notre Dame, Indiana FEBRUARY 1, 1984 February 811 April 13-14, 1984 Richmond, Virginia FEBRUARY 6, 1984 February 812 June 29-july 1, 1984 Plymouth, New Hampshire APRIL 23, 1984 june 813 August 16-19, 1984 Eugene, JUNE 5, 1984 August November 2-3, 1984 Minneapolis, Minnesota November 9-10, 1984 San Diego, California January 9-13, 1985 Anaheim, California (91 st Annual Meeting) March 22-23, 1985 Chicago, Illinois April12-13, 1985 Tucson, Arizona January 7-11, 1986 New Orleans, Louisiana (92nd Annual Meeting) January 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

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Volume 31, Number 1, january 1984

EDITORIAL COMMITTEE Paul F. Baum, Ralph P. Boas Raymond L. Johnson, Mary Ellen Rudin Bertram Walsh, Daniel Zelinsky Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS Hans Samelson, Queries 2 Addendum to Survey of American Ronald L. Graham, Special Articles Mathematical Research Journals SUBSCRIPTION INFORMATION Subscription prices for Volume 31 (1984) 3 There is no room to spare in four-dimensional are $50 list; $25 member. (The subscrip­ space, Michael H. Freedman tion price for members is included in the annual dues.) A late charge of 10% of the 7 News and Announcements subscription price will be imposed upon 11 Queries orders received from nonmembers after January 1 of the subscription year. Sub­ 12 Letters to the Editor scribers outside the and 19 NSF News & Reports India must pay a postage surcharge of $5; subscribers in India must pay a 23 Future Meetings of the Society postage surcharge of $15. Subscrip- Louisville, january 25-28, 23 tions and orders for AMS publications should be addressed to the American Mathematical Sciences Employment Register, 43 Mathematical Society, P .0. Box 1571, Notre Dame, April 6-7, 71 Annex Station, Providence, Rl 02901. Richmond, April 13-14, 75 All orders must be prepaid. Joint Summer Research Conferences, 77 ORDERS FOR AMS BOOKS AND 1984 AMS-SIAM Summer Seminar, 78 INQUIRIES ABOUT SALES, SUBSCRIP­ TIONS, AND DUES may be made by AMS Summer Research Institute, 79 calling Carol-Ann Blackwood at Invited Speakers and Special Sessions, 80 800-556-7774 (toll free in U.S.) between 8:00 a.m. and 4:15 p.m. eastern time, 82 Special Meetings Monday through Friday. 87 New AMS Publications INFORMATION ABOUT ADVERTISING 89 Miscellaneous in the Notices may be obtained from Personal Items, 89; Deaths, 89; Wahlene Siconio at 401-272-9500. Visiting (Supplement), 89 CORRESPONDENCE, including changes Erratum to the 1983-1984 Combined of address should be sent to American Membership List, 90 Mathematical Society, P.O. Box 6248, Providence, Rl 02940. 91 AMS Reports and Communications Second class postage paid at Recent Appointments, 91; Providence, Rl, and additional mailing Reports of Past Meetings: 1983 Summer offices. Copyright © 1983 by the Research Institute, 92; Fairfield, 92 American Mathematical Society. Printed in the United States of America. 94 Advertisements Addendum to Survey of American Mathematical Research Journals

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2 There is no Room to Spare in Four-Dimensional Space by Michael H. Freedman

How much space is there in a phone booth? (generically!) share exactly one point.) In the Enough for eight college students? Possibly for 24 presence of orientations these points are counted if we are a little rough imbedding them? Packing with a sign to yield an integer £. A key step a suitcase, we see the same phenomenon. If in further understanding the of M is we don't require our shirts to be differentially to determine whether the two submanifolds A2k imbedded we can get more in-isn't that a great and B 2k can actually be moved into a position in observation! which they intersect in exactly .e points. That is, can algebraically cancelling pairs of opposite sign Room is also the issue in topology. (point+, poinL) be geometrically cancelled? A curiosity, conspicuous to the interested out­ The essential idea here is to find a 2-dimensional sider, was that the increased understanding of disk imbedded in M, the "Whitney disk," to guide , explosive in the years 1956 through the cancellation: 1968, skipped over dimension four (and to a certain extent dimension three) and went directly to the "high-dimensional" case Mn, n ~ 5. When­ ever something conspicuous occurs, one needs a short answer to: why? The need is social and psychological: your friends want to know what is happening and dori't want to be bored by a long before and confusing answer. Which is all to the good. Things would quickly get out of hand if we were willing to listen to complicated reasoning. There is more room to work when the dimension of the manifold is greater than or equal to five. That is the short answer; let's unfold it a little. after Consider a closed manifold (that is, compact The point is that whatever value k assumes we and without boundary) M 4k of dimension 4k. will always be concerned· with eliminating extra (A general discussion would distinguish cases points of intersection, and the mechanics of this according to the dimension's parity mod 4.) One requires finding suitable 2-disks-the dimension can imagine the various submanifolds that can of what we are looking for is two regardless of be found inside M: circles, surfaces, 3-manifolds, how large or small k is. on up to (4k -1)-manifolds. These and their If k is greater than 1 the problem of finding the intersections tell a lot about the topology of Whitney disk D 2 is straightforward: homotopy M; they provide the information an algebraic information plus general position. This is typical topologist sees in the cohomology ring H*(M). of the beautiful agreement between topology and Submanifolds of dimensions j and 4k-j are "dual" algebra in dimensions greater than or equal to five. When k = 1 we must think about placing a in that they tend to intersect in points. The 2k­ disk in a 4-manifold. It may try to cross itself like dimensional submanifolds are dual to themselves an arc in the plane: and prove to be the most resistant to modification. Below the middle dimension, cutting and gluing (surgery) is easily performed to manipulate the homology and cohomology groups. Poincare , a fundamental correspondence between the submanifolds in dual dimensions, forces a It may try to intersect the surfaces A2 and B 2 corresponding change in dimensions greater than where it should not: 2k. To understand a manifold of dimension 4k, we must understand how its submanifolds of dimension 2k intersect. By general position we assume they meet in points. (Consider for this A that submanifolds are locally modeled on sub­ vector-spaces and that two sub-affine-spaces of and a less obvious, but real, framing problem may dimension 2k in a vector space V 4k will in general develop in the disk's normal bundle.

3 The problem of producing Whitney disks four there is a new type of phenomenon, smooth arises in trying to adapt the high-dimensional structures no longer correspond to homotopy classification theory to dimension four. Roughly, classes of bundle reductions. This phenomenon existence questions depend on surgery, and is sharply illustrated in the discovery that R 4 , uniqueness depends on h-cobordism type iii contrast to every other Euclidean space, has theorems. The proofs of both require finding more than one . In par­ Whitney disks in rather special situations. Can ticular there is a smooth manifold (R4)rake which they be found? The answer is now largely (?) is homeomorphic to, but not diffeomorphic to, known. It is yes, or at the very least quite often, Euclidean 4-space. That means charts can be if one is speaking in the topological category. It laid down in R 4 by topological imbeddings ha : is very often no in the smooth category. R 4 --+ R 4 so that all overlap homeomorphisms gap The answer to this basic question depends on are (infinitely differentiable with this strangely technical point. Are we considering infinitely differentiable inverses) to give a peculiar our manifold to be smooth, that is, provided with smooth structure which is not diffeomorphic to an atlas of coordinate charts, (R!), satisfying the the usual single chart structure on R 4 • usual requirement that on an overlap of two charts This surprising result requires: (1) making a the coordinates of one are infinitely differentiable certain smooth manifold V, (2) recognizing it functions on the other, and are we looking for topologically as R4, and (3) realizing that ifV were Whitney disks which are smooth submanifolds, diffeomorphic to the usual R 4 then a contradiction that is, covered by chart pairs to Donaldson's thesis can be constructed. (R2 sub-vector-space R4)p Steps (1) and (2) show off the new topological methods. Step (1) is a consequence of the belonging to the atlas? The alternative is to take main geometric lemma used in constructing new only the point-set-topological structure: a locally manifolds (surgery), and step (2) is a special Euclidean, metrizable space as the definition of case of the proper-h-cobordism theorem, the manifold and look for Whitney disks which are theorem used to recognize when two manifolds simply h(D2 X 0) for some topological imbedding h are homeomorphic (i.e., the uniqueness side of 2 2 2 2 of the 2-handle, h(D X D , aD X D ) 4 Mk into the classification problem). These steps are now the 4-manifold. (The normal extension to D 2 xD2 approximately (it depends on how one counts) or "flatness" of h(D2 X 0) precludes pathology like twenty years old when set in higher dimensions. the Alexander horned spheres and is necessary for These steps are "new'' only in that they can the disk to be useful in cancelling intersections.) now be accomplished in the more confined 4- Why can we find these disks topologically but dimensional environment. Added to the classical not smoothly (even if we are given a smooth ideas (1956-1968) are certain infinite processes structure on M by which to judge)? There is just whose limiting behavior is inherently topological more room if we are willing to push-remember (see my paper [F] and Frank Quinn's [Q]. Step (3) the college students and shirts. is the connecting glue between steps (1) and (2) The cutoff between high- and low-dimensional and Donaldson's theorem; curiously it was already topology comes at dimension four. Topological4- lying on the shelf, developed for its own interest manifolds1 lie, by virtue of the ''Whitney trick", by R. Edwards and A. Casson around 1975. on the side governed by the high-dimensional The ingredients for a fake R 4 were made principles (i.e., algebra and homotopy theory); complete by: smooth 4-manifolds are lacking in room and are truly low-dimensional objects. This view has DONALDSON'S THEOREM [Dj. lf a closed, coalesced with surprising rapidity. Effective smooth, simply-connected, 4-dimensional manifold topological techniques have been solvable in M 4 has a positive definite intersection form then dimension four for just two years and only in the that form must be integrally equivalent to the past year have analytical methods stimulated by standard one: particle (I refer here to the Oxford Ph.D. +1 0 thesis of and its antecedents: work of Taubes, Uhlenbeck, and Atiyah, Hitchen ± and Singer) revealed subtle divergencies between 0 +1 the smooth and topological categories. The topological and smooth classifications (here the (i,j)-entry is the number of intersection (whatever they turn out to be) of manifolds points between surfaces ~ and Aj which belong to of dimension three or less coincide. When the the basis for the second homology H2(M4 ; Z)). dimension is greater than or equal to five there are The history of ideas leading to this theorem differences which may be systematically under­ is remarkable. Hodge theory has long been a stood in terms of homotopy theory. In dimension beautiful bridge between topology and analysis in which a cohomology class (the topological 1 At present, this statement is proved only for 4-manifolds whose fundamental groups are not too object) is uniquely realized by a differential form rapidly growing; for example, groups containing solvable which is a critical point of the appropriate subgroups of finite index. energy functional. The modern formulation

4 of electromagnetism (Maxwell's equations) is simply an indefinite-metric version of Hodge theory. To understand weak interactions in the same general mathematical setting, a nonabelian version of Hodge theory was developed with the Lie group SU(2) replacing U(1) (=circle), the abelian group of internal symmetries arising in electromagnetism. In this theory, one searches for solutions of the self-dual Yang-Mills equation FA= *FA. For manifolds satisfying the M may be thought of as homeomorphic to a hypothesis of the theorem, the space of solutions union M = N- U S 2 x S 2-, where the minus sign (modulo a natural "gauge"-equivalence) M is analyzed. It is found that M is 5-dimensional and signifies that the interior of a small closed ball has can naturally be completed to a compact manifold been removed from the space. A lovely feature of this decomposition is that it is possible to M (with certain understandable singularities) by 2 2 2 2 attaching a copy of M 4 at the "infinity" or end of produce a bizarre inclusion j: S X s - 4 S X S M. By conventional topological arguments, this such that j(S2 X S2) has a neighborhood which is diffeomorphic to a neighborhood of S 2 X S 2- bounding of M by Mconstrains the topology of M and ultimately leads to Donaldson's conclusion. in M. Consider the complementary smooth manifold V = S2 X S2 - J"(S 2 x S2-). Step 2. Standard methods in algebraic topology show that algebraic invariants do not distinguish MA~M V from R4 • The new proper-h-cobordism theorem -=singularities ...... ~---~-.// is used to construct a homeomorphism from 4 R toV. Step 3. We claim that V cannot be diffeomorphic Notice that the entire discussion leading to to R 4 and thus qualifies as a ''fake R 4" • We the theorem cannot (?) even be begun on a assume V is diffeomorphic to R 4 and will quickly merely topological manifold-one needs smooth see that this leads to a contradiction. R 4 contains structure for the P.D.E. FA= *FA. the family of round 3-spheres of integer radii. If Step 1. An important example of the intersection V is diffeomorphic to R 4 it will likewise contain a 2 form occurs on S 2 X S , the cartesian product family of smoothly imbedded 3-spheres marching of a pair of 2-dimensional spheres. The space off to infinity. The mentioned may be pictured as something like a torus S1 X at the end of Step 1 transfers some terminal S1 . In analogy with the torus, a basis for H 2(S 2 x S2; Z) will consist of the surfaces S 2 x collection of these 3-spheres into M where they point and point X S2. The intersection matrix will also be smoothly imbedded. Now the manifold on H2(S2 X S 2; Z) is ~~ ~~· The off diagonal "1's" N, realizing the intersection form Y, can be reflect the intersections at (point, point) of the two reconstructed by cutting along one of these three surfaces, the zeroes on the diagonal correspond 3-spheres and gluing a 4-ball into the resulting to the geometric fact that each surface may hole. The important point is that sihce the 3- be completely di~laced from itself, for example sphere along which we cut ie, from our hypothesis, (S 2 x point) n (S x point')= 0 if point =1 point'. smoothly imbedded, the result of the construction Suppose X is the intersection matrix of a N will also have a smooth structure. But this closed, smooth, simply-connected, 4-dimensional implies a general procedure, entirely within the manifold M. It has been shown that whenever X world of closed, smooth, simply-connected 4- has a direct sum decomposition manifolds, for destabilizing an intersection form, i.e., for constructing a manifold with form Y given one with intersection form X= ' 0

then M has a similar decomposition as a topological connected sum M = N#S: X S :. This means M is homeomorphic to the result of tubing some manifold N (with intersection form This procedure, when applied to the standard Y) to S 2 X 8 2 • examples of smooth 4-manifolds (i.e. the complex surfaces), would be sufficient to construct a closed, smooth, simply-connected 4-manifold with intersections representing a great variety of ~8 peculiar definite integral bilinear forms. On the other hand, Donaldson tells us that only the N ± "identity" forms may arise in the smooth case.

5 References This article is the seventh in the series of [D] S. Donaldson, An application of Special Articles published in the Notices. Its to four dimensional topology, J. Differential Geom. author, Michael H. Freedman, is a professor of (to appear). mathematics at the University of California, [F] M. H. Freedman, The topology of four­ San Diego. He received his Ph.D. from dimensional manifolds, J. Differential Geom. 17 in 1969, with a thesis (1982), 357-454. titled "Surgery'', written under the supervision [Q] F. Quinn, Ends of maps. III: Dimensions 4 of William Browder. and 5, J. Differential Geom. 17 (1982), 502-521. The series of Special Articles was created to provide a place for articles on mathematical subjects of interest to the general membership of the Society. The Editorial Committee of the Notices is especially interested in the quality of exposition and intends to maintain the highest standards in order to assure that the Special Articles will be accessible to mathematicians in all fields. The articles must be interesting and mathematically sound. They are first refereed for accuracy and (if approved) accepted or rejected on the basis of the breadth of their appeal to the general mathematical public. Items for this series are solicited a.D.d, if accepted, will be paid for at the rate of $250 per page up to a maximum of $750. Manuscripts to be considered for this series should be sent to Ronald L. Graham, Associate Editor for Special Articles, Notices of the American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940.

6 News and Announcements

Chern and Erdos well beyond explicit computation. His partition Awarded Wolf Prize calculus in set theory (partly in collaboration with Richard Rado) has created a new branch of The Wolf Foundation award for the promotion mathematics, at the intersection between mathe­ of science and art for the benefit of mankind matical logic and set theory. Two generations of has been announced for 1983. The prize for mathematicians world-wide have benefited from mathematics is $100,000. his example and stimulation. The prize is to be shared jointly by Shiing-Shen Chern, of the University of California, Berkeley, and Paul Erdos of the Hungarian Academy of Sciences. The citations follow: Shiing Shen Chern has been the leading figure in global differential . His earlier work on integral geometry, especially on the kinematic formula, was the source of most later work. His ground-breaking discovery of characteristic classes (now known as Chern classes) was the turning point that set global on a course of tumultuous development. The field has blossomed under his leadership, and his results, together with those of his numerous students, have influenced the development of topology, algebraic geometry, complex manifolds, and most recently of gauge theories in .

Paul Erdos Previous recipients of these awards were: I. M. Gel'fand and Carl L. Siegel (1978), and Andre Weil (1979), and Andrei N. Kolmogorov (1980), Lars V. Ahlfors and (1981), and Mark Grigor'evich Krein (1982). Debreu Awarded Nobel Prize in Eeonomie Seienee Gerard Debreu of the University of California, Berkeley, was awarded the 1983 Nobel Memorial Prize in Economic Science. The amount of the Shiing Shen Chern award is approximately $190,000. Paul Erdos is one of the most prolific mathe­ Debreu, who has been Professor of Economics maticians of all times. His elementary proof of the at Berkeley since 1962, received a D. Sc. in prime number theorem (jointly with ) mathematics from the University of Paris in 1956 came after many a famous had and was an associate professor at , pronounced such a proof impossible. The field 1955 to 1960. He has held fellowships and visiting of combinatorics owes its very existence to his appointments at many universities, including the work. His ingenious applications of probabilistic Catholic University of Louvain, the University of methods to existence questions has enabled him Canterbury and University, and has and those who followed him (to] obtain results held fellowships at the Center for Advanced Study

7 in the Behavioral Sciences and Centre National de la Recherche Scientifique. He was president of the Bulletin of the AMS Econometric Society in 1971 and is a fellow of the At the joint meeting in November 1983 of American Academy of Arts and Sciences. the Executive Committee of the Council and Mathematical economists who have received the Board of Trustees, it was decided that the Nobel Economics Prize since it was first (as a cost-saving measure) the Bulletin of the awarded in 1969 include Ragnar Frisch (Norway) American Mathematical Society would become a and Jan Tinbergen (Holland) in 1969, Paul A. quarterly publication. The Bulletin, which is a Samuelson (U.S.) in 1970, Kenneth J. Arrow (U. privilege of membership, will now be published S.) in 1971, Wassily Leontief (U.S.) in 1973, in January, April, July and October. This Tjalling Koopmans (Holland/U.S.) and Leonid change is being implemented beginning with the Kantorivich (U.S.S.R.) in 1975, Herbert A. Simon 1984 subscription year. Because this change (U.S.) in 1978, and Lawrence R. Klein (U.S.) in occurred late in the production schedule, the 1980. January 1984 issue may arrive a week or so later than AMS members would normally expect to Atiyah Knighted receive it. Under the terms of the fellowship, Bird, of Michael Francis Atiyah, Royal Society Research Harrison Township, Michigan, will serve for one Professor, Mathematics Institute, University of year in Washington, D.C. as a special legislative Oxford, was made a Knight Bachelor in the assistant on the staff of a member of the U.S. Queen's Birthday Honours list last June. Congress or a congressional committee. Sir Michael, who received a in He is a staff research scientist in the GMR Math­ 1966, was a member-at-large of the AMS Council from 1970 to 1972, Colloquium Lecturer of the ematics Department. His fellowship appointment Society in January 1973, and President of the is sponsored jointly by AMS, MAA, and SIAM. It London Mathematical Society in 1976. In 1978 is one of thirty similar fellowships supported by he was elected to the U.S. National Academy of scientific societies in a program administered by Sciences, Section of Mathematics. the American Association for the Advancement of Science. Bird's research interests are in the area of 1983-1984 Congressional Fellow game theory and its applications in public policy analysis. a member of the GMR staff, he Charles G. Bird, a research scientist at the As has used game theory to analyze fuel economy General Motors Research Laboratories (GMR), has been selected as a 1983-1984 Congressional constraints, import restrictions and health care Science Fellow. costs. He has also developed mathematical models for forecasting automobile sales. He has B.S., M.S., and Ph.D. degrees in mathematics from Carnegie-Mellon University in Pittsburgh. He received his doctorate in 1973, and thereafter served as assistant professor in mathematics at Washington State University, Indiana University, and the University of Georgia before joining General Motors in 1977. He is a member of SIAM and of the Operations Research Society of America.

Ernest 0. Lawrence Awards In 1959, the United States Department of Energy (then AEC) established the Ernest 0. Lawrence Awards, to be awarded annually. Each winner receives a citation, a medal and $5,000. In 1983, five scientists received Lawrence Awards; one of them was given for a discovery in mathematics to Mitchell Feigenbaum for his discovery of the period-doubling route to chaos, which has furthered the understanding of a wide variety of nonlinear physical phenomena in fields as diverse as turbulence, solid-state physics, plasma physics, chemical kinetics and population Charles G. Bird biology.

8 .AMS Trustees Honor Alfred Tarski, 1902-1983 Two More Twenty-year Employees Alfred Tarski died on October 26, 1983, at the At its meeting in November 1983, the Board age of 81. He was a member of the Society for of Trustees of the Society adopted the following forty-three years. resolution: Tarski was born in Warsaw on January 14, 1902. The Trustees take special notice of two He received a Ph.D. degree from the University employees who have completed twenty years of of Warsaw in 1923 and came to the United States service to the Society, and tender their deep in 1939 as a research associate in mathematics at appreciation to JOSEPHINE FARIA and EDITH . He was a Guggenheim Fellow KREKORIAN. These two employees bring to twelve in 1941, 1942, 1955, and 1956 and a member of the number who have been with the Society for the Institute for Advanced Study in 1942. In more than twenty years. The Trustees are pleased 1942 he moved to the University of California, and delighted that so many AMS employees have Berkeley, as lecturer and later served as associate shown such a degree of dedication to the work professor and professor of mathematics. In 1968 which they perform for the Society. They wish all he retired as Professor Emeritus. of them well and hope that they find their futures From 1944 to 1946 Tarski was president of the at the AMS at least as personally satisfying as the Association for Symbolic Logic. He served the first twenty or more years. AMS as a member-at-large of the Council, 1948- This kind of announcement has become almost 1950, and was the Colloquium Lecturer at the an annual event. See the February 1983 issue of Summer Meeting in East Lansing in 1952. In the Notices, pages 157 and 158, for the nanies of 1965 he was elected to the National Academy of the ten other employees of the Society previously Sciences. so honored. JoSEPHINE FARIA joined the staff of the Society International Mathematical Union in May 1960. She was hired to work for six months in the Editorial Department on the MR Index. As The funds of the Special Development Fund of work on the Index neared completion, Jo began the IMU, which go unreduced to mathematicians doing secretarial work for Ellen Swanson. She from developing countries, are used primarily continued as Ellen's secretary for ten years during for travel grants to young mathematicians, to which she began handling the abstracts for the make it possible for them to participate in In­ Notices. In 1970 Jo left the AMS to have her second ternational Congresses of Mathematicians. The child, returning in a part-time capacity after two Executive Committee of IMU elects an interna­ and one-half years. In 1976, she began working tional committee to distribute the grants. The full time again and has worked exclusively on the Special Development Fund is supported by private abstracts ever since, through the division of the donations. Donations can be sent at any time abstracts into a separate journal to the current and in any convertible currency, to the following computerization of many of the record-keeping accounts: aspects of them. Schweizerische Kreditanstalt Stadtfiliale Ziirich-Rigiplatz EDITH KREKORIAN came to the AMS in April Universitiitstrasse 105 1963 to work in the Sales Department filling CH-8033 Ziirich, Switzerland orders. In 1964, she originated the book sales Account number 0862-656208-21 at our annual meetings. From there, she worked on pre-coding for a new computer which took Kansallis-Osake-Pankki approximately two years. Mter the Society Aleksanterinkatu 42 moved to its South Main Street office, she took SF -00100 Helsinki 10, Finland over Purchasing. At that time purchasing only Account number 100020-411-USD-5705 FR. entailed supplies; but as time went on, her job The next goal is to collect money for travel became more and more involved. Currently, grants for the 1986 International Congress of she purchases almost everything from paper to Mathematicians in Berkeley. million-dollar machinery. She also maintains the OLLI LEHTO, Secretary, IMU records of all of these purchase orders. She is now also in charge of buildings and grounds, and was IMA Board Members responsible for overseeing the construction of the warehouse and bindery from the ground up. The Institute for Mathematics and its Applica­ tions, Minneapolis, announces that James Glimm

9 of , Elliott Lieb of Princeton Requests for applications should reach the University, Karen Unlenbeck of the University National Academy of Sciences not later than of Chicago, and Shmuel Winograd of mM T. J. February 17, 1984. Deadline for receiving com­ Watson Research Center have been elected to pleted applications is March 1, 1984; applications three-year terms on the Board of Governors must be postmarked by February 27, 1984. Ad­ effective January 1984. They will replace Felix dress application requests to: National Academy of Browder, Ronald Graham, Shizuo Kakutani, Sciences, Office of International Affairs, USSR/EE, and whose terms expire at the 2101 Constitution Avenue, N.W., Washington, end of 1983. Continuing members of the DC 20418. For further information: 202-334-2644, Board are Donald Burkholder, Wendell Fleming, or 202-334-2645. -NAS News Release Frederick Gehring {chairman), , Daniel Kleitman, and Jiirgen Moser. Diserete Mathematics in College Curriculum -News Release The Mathematical Association of America Academy of Seienees (MAA) recently appointed a Panel on Discrete of Latin Ameriea Mathematics in the First Two Years. Computer Science and the pervasive use of algorithms to As a consequence of an organizational meeting solve important problems in numerous fields have held at the Academy of Sciences of the Vatican in created the need for students to study more logic, 1983, the Academy of Sciences of Latin America combinatorics, and such discrete structures as has been founded. matrices, graphs, and semigroups. Computers The Brazilian biologist Carlos Chagas, Presi­ have also lessened the need for students to do dent of the Academy of Sciences of the Vatican, repetitive calculations of integrals and derivatives. has been elected President of this new Academy. Symbol manipulation by computers has become The following Latin American mathematicians a reality. The charge to the panel is to make have been elected to a membership in the suggestions as to curricular changes, including the Academy: Luis A. Santal6 {Argentina), honorary inevitable adjustment of the calculus curriculum. member; Alberto P. Calderon {Argentina), Members of the panel include representatives Rolando B. Chuaqui {Chile), Leopoldo Nachbin of the MAA, the Association for Computing (Brazil), and Mauricio M. Peixoto {Brazil), mem­ Machinery (ACM) and the American Society of bers. Engineering Education {ASEE). The work is being funded by the Alfred P. Sloan Foundation. NAS Exchanges with U.S.S.R. The panel is particularly interested in the and Eastern European Academies impact of a scheme in which discrete mathematics would be taught for the equivalent of one year and The National Academy of Sciences {NAS) invites the calculus condensed and taught for the same applications from American scientists who wish to period of time. There will be an attempt to define make visits beginning during the period January at least two prototypes. One would integrate 1, 1985 through December 31, 1985 in the the two subjects into a two-year sequence with U.S.S.R., Bulgaria, Czechoslovakia, the German topics from calculus and discrete mathematics Democratic Republic, Hungary, Poland, Romania interspersed. The other would define two one­ and Yugoslavia. Long-term research visits of year courses, possibly independent, one in discrete five to twelve months' duration are encouraged, mathematics and one in calculus. particularly those where contact with colleagues The panel invites the views of the com­ 'in the other country has already been established. munity. Please forward same to Professor Martha Applicants must be U.S. citizens and have a Siegel, Department of Mathematics and Com­ doctoral degree or its equivalent by the time of puter Science, Towson State University, Towson, the intended visit in mathematics; the physical, Maryland 21204. -MAA News Release biological, or engineering sciences; social or behavioral sciences; or biomedical sciences. For Erratum the purpose of the exchange programs, emphasis in the social and behavioral sciences is placed In the article on Nonacademic Employers of on those which are oriented toward empirical Mathematicians by D. H. Bailey {November 1983 and quantitative analysis and which focus on the Notices), an employer's name was misspelled. The analysis of individual and group behavior. All last entry under on page 758 should necessary expenses will be met by the NAB and be: Verbex (5) 2 Oak Park, Bedford, MA 01730. the foreign academy, including reimbursement for salary lost up to a predetermined maximum and expenses for accompanying family members on visits of five months or more.

10 Queries Edited by Hans Samelson QUESTIONS ARE WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will, when appropriate, be edited into a composite answer and published in a subsequent column. All answers received will be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Queries H-classes containing odd degree polynomials, by himself and S. Subbiah, in Semigroup Forum 11 294. Peter Lyall Easthope (3760 72nd St., RR1 (1975), 49-78. Does anyone know an earlier Delta, B. C. V4K 3N2, Canada). What is the reference to this beautiful property of Euclidean analogous result for 3 X 3 matrices of the following? space? It might have been known to L. E. J. If Brouwer since it follows rather easily from his M = 2 X 2 matrix, theorem on the "invariance of domain" (a subset 1 = 2 X 2 identity matrix, of Euclidean space is open if it is homeomorphic \M\=detM, to the whole space). tr M =trace M, Responses I1 = !(tr M + ((tr M)2- 4\M\)1/2), I2 = !(tr M- ((tr M)2-:- 4\M\)1/2), The editor would like to thank all those who I4 = ((tr M)2 - 4\M\)1/2, sent in replies. then 282. vol. 30, p. 491, August 1983, John Banks) What is the state of the problem of finding Mn= ~(~+~)1 the number of nonisomorphic Hamiltonian cycles of the n-cube? Reply: The most recent In-In general results are in D. Singmaster, Enumerat­ + _1__ 2 (M -\M\M-1). 2I4 ing unlabelled Hamiltonian circuits, Numerische Methoden bei graphentheoretischen und kom­ This form of the result appears to be necessary binatorischen Problemen, Internat. Ser. Numer. for an application in continuum mechanics. Math., vol. 29, Birkhauser, Basel and Stuttgart, 295. Peter Flor (Institut fiir Mathematik, Der 1975. The best upper and lower bounds are in E. Karl-Franzens-Universitiit Graz, Brandhofgasse Dixon and S. Goodman, On the number of Hamil­ 18, Austria). A recent paper of K. D. Magill, tonian circuits in the n-cube, Proc. Amer. Math. Jr., contains the theorem stating that if a Soc. 50 (1975), 500-504. A different approach to homeomorphic mapping of a Euclidean space onto the problem can be found in J. E. Ludman and itself arises as the composition of two continuous J. L. Sampson, A technique for generating Gray self-maps of that space, then those factors are codes, J. Statist. Plann. Inference 5 (1981), 171- homeomorphisms as well. The author cites as 180. (Contributed by Phillip Schultz) a reference the paper Schutzenberger groups of

Spectral Theory of 6. Second refinement of the expansion theorem for Automorphic Functions V:(r; x). The discrete spectrum A.B.Venkov 7. The spectral theory of perturbations of the spec­ trum of the operator V:(r; x). Some perspectives Contents on the development of the spectral theory of auto- 1. Notation and auxiliary theorems morphic functions 2. Theorem on expansion in eigenfunctions of the 1980 Mathematics Subject Classifications: 10005, 10020, operator V:(r; x) 10040, 10H10, 32NOS, 32N15 3. First refinement of the expansion theorem for Proceedinl!' of the Steklov Institute of Mathematics V:(r; x). The continuous spectrum Volume 153, ix + 164 pages (soft cover) 4. The Selberg trace formula List price $64, institutional member $48, 5. Elements of the theory of the Selberg zeta-func- individual member $32 ISBN 0-8218-3078-3; LC 83-2694 tion. Spectral and geometric applications of the Publication date: May 1983 theory To order, please specify STEK!,.0/153N Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

11 Letters to the Editor

Jose Luis Massera mathematicians interested in securing Professor Seeking the release from prison of Professor Massera's freedom write to Uruguayan President Jose Luis Massera, a delegation representing Alvarez and to Colonel Ledesma, but also to their the international scientific community visited own governments. U.S. Secretary of State George Uruguay during the second week in November. Shultz has in the past expressed a particular Members of the delegation were Professor Javier interest in the human rights of academics (since Gonzalez of the University of Mexico City, he is himself a former academic); I suggest that Professor Jair Koiller of the University of Rio de mathematicians write to him about Massera (U.S. Janeiro, Professor Bernard Prum of the Sorbonne Department of State, Washington, D.C. 20520). and myself. I should characterize the trip as more MaryW. Gray successful than we expected, but less successful American University than we hoped. While we were not able to see Professor Massera, we did meet with Colonel International Congress of Mathematicians Frederico Ledesma, President of the Supreme It is gratifying for organizers to find out in Military Tribunal. Colonel Ledesma assured us the report of the Chairman of the U.S. National that Massera's sentence will be reviewed early in Committee for Mathematics positive opinions 1984 and that there is a good chance that his about the ICM in Warsaw (see October 1983 sentence will be reduced to the eight years already Notices, pages 571-573). I was particularly served. happy to see the statement that scientifically the The American Mathematical Society, as well Congress was a success, though, I realize that as the mathematical societies of many other the success was not a full one, due mainly to countries, special committees and groups, 24 a very visibly reduced Western participation and Nobel Laureates, members of the national a comparatively higher percentage of absentees academies of many nations and individual mathe­ among the invited lecturers. Professor Mostow, in maticians from the Americas, Europe, the Soviet his report, marked with a dot only 23 absentees­ Union and China, has worked for many years with one mistake-on the list of all 145 invited on behalf of Professor Massera, a distinguished speakers who accepted the invitation, while the mathematician and founder of the Uruguayan correct number is 35, hence considerably higher. school of mathematics. Professor Massera, now 68 Also, there were more than 14 speakers from the years old, was secretary-general of the Communist U.S. whose lectures had to be cancelled. party of Uruguay and a member of the parliament However, these unfortunate facts did not have of Uruguay before the military takeover in 1973. a wrecking effect to the Congress. This was due In recent years he has been awarded honorary to the following circumstances, I believe. doctorates by universities in Nice, Pisa, Rome, Havana, Berlin, and Mexico, among others; he Thirteen plenary speakers attended the Con­ has been offered positions at leading universities gress, all from the U.S. and U.S.S.R. in several countries. Participation from Eastern European countries The delegation which visited Montevideo was considerably higher than in Helsinki. Due stressed scientific and humanitarian considera­ to vigorous efforts of the U.S.S.R. National tions with the representatives of the political Committee, the participation from this country parties, with the Uruguayan government officials, was high: 283 mathematicians of a high average with student and labor leaders and with the caliber. The attendance from other countries press. Particularly receptive was the Uruguayan though reduced was by far not negligible. Commission on Human Rights, which has only One could dwell on the reasons behind the recently begun to try to work on human rights reduced Western participation. Perhaps the issues within Uruguay. The United Nations atmosphere created around the Warsaw Congress Commission on Human Rights has also communi­ after the imposition of martial law in Poland was cated with the Uruguayan government regarding the main factor. A lack of any coordination with Professor Massera. other meetings due to the postponement of the Members of the delegation believe that it Congress and the difficulties with receiving travel is very important that over the next few support cannot be disregarded. months the Uruguayan authorities hear constantly In particular, I am convinced that the block about Professor Massera from his mathematical placed on federal travel grants influenced the colleagues and from their governments. It is attendance from the U.S. In comparison with our impression that strong representations on the Helsinki Congress it was percentagewise behalf of Massera, on. scientific and humanitarian reduced more than that from France, Japan, grounds, from the United States government Federal Republic of Germany or . would be particularly useful. We suggest that all It is clear that the participation of the U.S.

12 mathematicians in ICM-78 would not have been in Blacksburg, Virginia, because of the outcome that high if not for the support of the NSF through of a vote by senators in Richmond, etc. a special travel grant and through research grants. Harry Gonshor Both these sources were not available in the case Rutgers University, of our Congress. New Brunswick Under these circumstances, the presence in Warsaw of about 120 U.S. mathematicians, among The following text, in hundreds of duplicated them 30 invited speakers, was indeed high and copies, was distributed to participants at the gratifying to the entire Congress, in particular to International Congress of Mathematicians in the organizers. Warsaw on 22 August 1983. This concerns also the invited speakers from Chandler Davis the U.S. I can only regret and apologize that we University of Toronto were not able to offer full support to all invited lecturers because I am sure this would reduce the Fellow Mathematicians: number of absentees. You have come to a country which is fighting for I am in full agreement with Professor Mostow its fundamental human rights, which were erased that scientists must try to dissuade any country from Polish public life with the announcement from repeating that precedent (of the U.S. of martial law. In the following period in Government). But I would also add that we the fight for the reinstatement of these rights ourselves should make more effort in preserving tens of lives have been claimed on the streets, and respecting the apolitical character of IMU thousands of people have been imprisoned or Congresses. It is improper to interpret the interned, many scientific cultural and trade attendance to a Congress as an act of approval­ organizations outlawed, including the largest tacit-of policies of the country the Congress authentic representative of the Polish people, is held in, but it is equally improper to use "Solidarnosc". That name, a symbol of the last a Congress for manifesting political sentiments three years, has not disappeared from the lips of either in the course of its preparations or during the world. Above all "Solidarity" still lives in the meeting. Poland. The street manifestations of May 1- Let me express a hope that the ICM-86 will the day of solidarity-working people from all be less "exciting" but more successful than the kinds of professions took part, demonstrating in ICM-82. all the main Polish cities. These demonstrations Czeslaw Olech were brutally broken up and suppressed by the President of ICM-82 police, a fact without precedent in the countries of the so-called socialist camp. The recent visit of Pope John Paul II was further evidence that I have just returned from the International "Solidarity" has not ceased to exist and was a Mathematics Congress in Warsaw. The Polish time when the powerful will of millions of Poles Mathematicians deserve a great deal of credit was demonstrated. He was ceaselessly surrounded for such a wonderful successful Congress in spite by enormous crowds where "Solidarity" banners of the difficult conditions existing there at the were continually visible as well as raised hands present time. Poland has made a large number of with the "V'' for victory sign. contributions to mathematics (the name "Poland" In the powerful current of upheaval, which even occurs in such places as ''Polish notation") embraced Poland in the memorable August of and has thus been worthy of being a host for an 1980, Polish mathematicians were also at the international congress. fore. They likewise have been victimized by the Speaker after speaker had great praise for the dictatorial authorities. Fifty-one mathematicians Polish Mathematicians and referred to the adverse (excluding those held for 48 hours) were arrested conditions under which they were forced to work. or interned. Four mathematicians are still wanted No one had any praise for the government. by the police and remain in hiding. Just before Unfortunately the principle of collective guilt the Congress all the imprisoned mathematicians has become fashionable among too many people. were released. But on Thursday, August 11, 1983, Although every ethnic group has its good and evil Grzegorz Cieciura was arrested, a mathematician elements, people often justify prejudice by iden­ from the University of Warsaw. There are tifying the whole group with its worst elements. mathematicians who have been thrown out of Ironically this often leads to penalizing the victim! their jobs, others are unable to travel abroad. Thus it is too bad that more mathematicians did These acts of repression are only part of the not participate in the Congress. revenge which affiicted the months following In conclusion, I feel that any application of the August 1980. Amongst those still in jail are principle of collective guilt is unjustified whether physicist Dr. Z. Romaszewski, and historian Dr. it involves penalizing the Polish mathematical K. Modzelewski. However, it must be pointed out community because of the military government in that the main blow of Jaruzelski's junta has been Warsaw, or the mathematics department of Vir­ directed against the workers from big industrial ginia Polytechnic Institute and State University centers.

13 They constitute the main part of people arrested (2) The mathematician Henryk Wozniakowski, during the Jaruzelski's war. They were also dean of the Faculty of Mathematics, Computer imprisoned in hardest conditions. Moreover, the Science, and Mechanics, was threatened with majority of those murdered or beaten up were dismissal for not stopping a meeting of students workers. of the Faculty at which a professor wore a The present situation in Poland has caused Solidarnosc button and discussed politics. But to many representatives of mathematics circles from us it seems that it was not the dean's business to all over the world to consider their attendance tell the professor what to wear or what to discuss; at the Congress unfitting. We understand and and that such surveillance must tend to make respect their decision. the university community passive, relinquishing Formal suppression of martial law was only a the independence of decision which is needed for propaganda trick. New legislation established in self-government. July is in many cases even tougher than before. (3) Some deans received an official letter dated The regime will present the Congress as a proof 18 July 1983, listing names of students not to of so-called "normalization" in Poland. Tell the be considered for admission to the University. people in your countries that "Solidarity" is still Reasons for their inadmissibility were given; in fighting. most cases, either conduct unbecoming a student (czyn niegodny studenta) or failing to return on not only in We are aware of the fact that time from a visit abroad; in a few cases, offenses Poland are working people persecuted, that in against the provisions of martial law, which have many other countries human and civil rights are supposedly been rescinded. not respected, that social degradation exists on a We urge that these threats of political policing world scale. not be carried out, but that Polish universities be We salute all these people fighting for free and given the conditions of freedom which they, like dignified work! any universities, need.

The following statement has been signed by 34 Education in the Mathematical Sciences mathematicians participating in the International As a mathematics teacher in a public high Congress of Mathematicians, Warsaw, August school, it is gratifying to see the growing concern 1983. in the mathematical community for the problems Chandler Davis that exist in precollege . University of Toronto The "Nation at Risk" report is, however, a Minister of Higher Education poor catalogue of the problems that we face; its Warsaw premise is unscientific, its findings are misleading, Honorable Mr. Minister: and some of its recommendations, if implemented, would only compound the difficulties that already Polish mathematics has for decades had an exist. important place in world mathematics, so we As evidence of the risk that faces us, the mathematicians in other countries have great commission cites a variety of curious data. For concern, both personal and scientific, for the fate example, "Over half the population of gifted of our Polish colleagues. We are glad to see students do not match their tested ability that dozens of them who were interned (and some with comparable achievement in school" . Can convicted) for political activity have been released. we really know when a person has certain At the same time, the present situation gives us capabilities without observing that person apply serious concern. those capabilities? In spite of the commission's The University of Warsaw has enjoyed a disclaimer of elitist intentions, this innatist degree of autonomy which universities in most theme runs throughout the report (we are asked other countries may justly envy. However, the to assist students to work to the "limits of newly announced regulations give the government their capabilities"), and the reader is given the authority to overrule the University Senate in the impression that the nature-nurture controversy admission of students and professors, to expel has somehow been settled. Another example: students and professors without Senate approval, As further evidence of the problems facing our and even to dissolve the Senate. Here are some schools, we are reminded of the decline in S.A. T. indications that these changes may be used to scores. There is, of course, a considerable the detriment of the scholarly integrity of the controversy surrounding the S.A.T., and it is institution. not at all clear that a positive correlation exists (1) Director Andrzej Zor has announced that between high S.A.T. scores and anything of citizenship criteria are henceforth to be applied interest to educators. In light of this controversy, in hiring. (What citizenship criteria? We know a decline in S.A.T. scores can hardly be viewed as from experience in our own countries how such indicative of a decline in the quality of education. formulas can be used to violate normal academic Although I have only anecdotal evidence (built criteria.) up over the last fifteen years) to support my claim,

14 I believe that the commission is wrong when it again). Even without NSF, however, university finds that both our students and our current departments can offer their own programs for curriculum offerings are weaker now than in the mathematics teachers. For example, a series mid-sixties. I graduated from a small suburban of expository colloquium-type lectures would high school in 1965, and I was considered to be certainly be popular with many high school the most mathematically advanced student in my teachers. class. I know many high school students today (2) Suggest ways to revise the current secon­ who are much more advanced than I was at their dary mathematics syllabus. There is an almost age, both in their technical expertise and in their universally accepted mathematics syllabus in facility with abstraction. In 1965, virtually no this country, but unlike the situation in other one in the school where I now teach was studying countries, this curriculum was not devised by calculus. Today, close to thirty students are mathematicians and teachers; rather it is dic­ taking calculus, about sixty students are studying tated by the Educational Testing Service and linear algebra, and the combined enrollment in a small group of book publishers. If univer­ computer programming and pre-calculus is over sities want secondary schools to include more four hundred (about one quarter of the school discrete mathematics, more number theory, population). While enrollment in our school is more linear algebra, and more logic, then going down, enrollment in mathematics courses is something must get pushed off the bottom of going up. Furthermore, most of the surrounding the stack. Perhaps university mathematicians school systems have course offerings at least as can convince the educational establishment sophisticated as ours. (ETS et. al.) that some changes are in order. These successes in mathematics education are This is exactly what happened twenty-five offset by some real difficulties. Many of our classes years ago with SMSG. are overcrowded, many of our teachers have weak Mathematics education will improve when mathematical backgrounds, and some of the topics mathematicians get involved with our secondary we teach are hopelessly obsolete. However, most schools. We do not need more tests, more of the remedies that the commission sets forth requirements, or more time in school; one of do not even address these problems. We are told the things we do need is a partnership between that we should adopt more stringent standards the people who discover new mathematics and (and we should find "measurable" ways to tell the people who report these discoveries to ymmg when these standards have been met). Now, one adults. of the best (or worst, depending on your point Albert A. Cuoco of view) characteristics of public education is its Woburn Senior High School almost infinite malleability. If forced to, public schools can require that every student take, say, Bulletin Research-Expository Articles three years of mathematics; teachers can even coach students to do well on just about any I am writing about the issue of research­ standardized test. All of this can be done without expository papers in the Bulletin, an issue which significantly increasing the mathematical literacy was dealt with by Ivar Ekeland in a recent letter of our students, and, if the real problems that to the Editor (Notices, August.1983, page 492). I exist in our schools are not honestly addressed, am concerned that members of the AMS who favor this is exactly what will happen. the current format may not realize the seriousness We do not need a longer year or a longer day. of the threat to the status quo, since Ekeland was We need more teachers. Smaller classes can make rather vague on this issue. a huge difference in the number of students who In 1982, the Executive Committee of the really understand the course content. Council reviewed the publication program of the There are several ways that university math­ Society as one segment of its mandated continuing ematics departments can have an impact on review of Society activities. Their report on the pre-college mathematics. I'll mention two: issue of the Bulletin read as follows: (1) Offer in-service courses and summer "4. The Executive Committee reviewed com­ institutes for all teachers. When NSF plaints about the Bulletin. The Committee offered its summer institutes, thousands of tried to discern reasons for the proposal that it secondary school teachers were exposed to be deleted as a privilege of membership. Some top level mathematics (and to active research individuals offer the stated reason (possibly mathematicians). NSF is currently sponsoring not valid) that it would result in a decrease in a very different kind of program ("Honors dues but the underlying question is why these Workshops for Pre-College Teachers"), and individuals think that the journal is not worth this new program has all the appeal of a beauty its price. The Committee concluded, among pageant. To obtain support, the program must other reasons, that the research-expository ar­ identify superior teachers and assure their ticles, their high quality notwithstanding, are "recognition and prestige with certificates not of a kind and level to be readily accessible of honor and appropriate publicity" (elitism to a large number of readers. The Committee

15 instructed the Secretary to convey this con­ The mathematical community certainly can; the clusion to the members of the Nominating American mathematical community cannot and Committee for them to keep in mind in the does not want to. selection of a new member of the Committee." In view of the lip-service paid these days to (The Committee referred to, in the last word exposition, the latter half of my last remark is of this item, is presumably the Bulletin Editorial heretical. It is, nonetheless, true: Committee.) Item. A few years ago, when I asked my formal It seems to me that a small number of members advisor to write a letter of recommendation for who are not committed to the fundamental pur­ me, he agreed to but he also warned me that pose of the Society (the fostering of mathematical his advisor had said something to the effect research in the United States) are having undue that I wrote well and was therefore incapable influence. This is presumably because those of doing research, whence I was unqualified for members, like myself, who are basically pleased any of the jobs I had applied for. with the format of the research-expository articles Item. A member of a large midwestern math­ have not bothered to formally comment, since we ematics department confided in me that he approve of the status quo. waited until he received tenure before submit­ I am writing this letter to urge all members ting a paper to the American Mathematical who have opinions, either pro or con about the Monthly because a friend of his had not been research-expository articles, to make their views kept on for having written a (very good) book known by letter. Since I would hope that there (on algebraic number theory for Springer's were too many responses to be accommodated in Universitext series). the Notices, I would urge concerned individuals Item. The Journal of Symbolic Logic occa­ to write to the Secretary of the Society, Professor sionally publishes pleas for expository papers. Everett Pitcher, P .0. Box 2767, Lehigh Valley, PA When I sent in one commemorating the Golden 18001. The writer should include a request that Anniversary of Godel's Theorem, a paper I his/her opinion be forwarded to the Executive wanted published (for obvious reasons) in Committee and the Nominating Committee. 1981, it was several months before I first got Barry Simon a card announcing the paper had been sent California Institute to a referee. (I withdrew the paper and it of Technology appeared -on time-elsewhere.) I could offer other instances of the lack of respect A couple of years back, I wrote to annoy given by Americans to exposition, but I think Professor Browder about the acceptance of my these are sufficient to make my point. "research-expository" article for the Bulletin. I And what is my point? It is not a complaint said, ''I am not generally so impatient... but... about lack of respect-I grew up in America despite much lip service honouring such, there is universally despised because my voice was high no market for expository work." I went on to (it still is), and in Western Europe I am despised say, ''I will be glad to regale you with all my for being an American. I am, in truth, more half-baked theories of exposition and explain why comfortable with hostility than with friendliness the research-expository section of the Bulletin and merely consider the source when a colleague is destined to publish mainly condensed surveys asks about my "suppository'' writing. The point written by top specialists for lower specialists is that Americans detest exposition and are, for and necessarily contentless transcriptions of one­ the most part, incapable of it. They will quote hour addresses. I can explain why this is a Godfrey Hardy's remark on second-rate minds problem, why this is an American problem, and in total ignorance of the number of expository why the editors of the Notices will again get books he published. American mathematicians letters suggesting that dues could be lowered by are not scholars: they know all the latest results in dropping subscribing to the Bulletin as a duty their areas but publish rediscovered older results of membership (unless, of course, the reviews out of (I hope) ignorance; they consider a list are more popular than I imagine)." Professor of credits to be history; they work on problems Halmos' letter in the October issue of the Notices, that have names attached to them in ignorance of pages 600-601, even though his judgment covered the origins of these problems-they are, in brief, my own paper (which, I admit, had serious uncivilised in Professor Shisha's sense (Letters to shortcomings), warms the cockles of my heart. I the Editor, October Notices, page 603) and they must say that I agree with almost all he says. (For are distrustful of anyone who is civilised. (In brief example, I still like my paper-as well as a few (again), American mathematics is a microcosm of others.) American society.) He says, "The main question is whether the Before I surpass Morris Kline in condemnation, mathematical community can produce articles let me note that what I have said is not true such as were hoped for in sufficient numbers to in other cultures. The Bulletin of the London achieve the desired effect. I wonder. I am inclined Mathematical Society, not being as ambitious as its to be pessimistic." This question has two answers: American counterpart, only occasionally publishes

16 expository items. I only occasionally look at their the latter is true, as Atti suggests, then we owe surveys, but I consider them well-written. In to Peano rather than to Russell the first formal the Seminaire Bourbake, mathematicians actively deductive system of set theory. exposit the work of others. And, in Germany, With reference to Asenjo's discussion of Moore's where there has traditionally been a shortage of judgment on Beppo Levi's priority in discovery academic positions and many work at Gymnasia of the Axiom of Choice, I must mention that isolated from active research, the amount of solid Moore does, in a footnote on page 80, refer to mathematical exposition is out of all proportion the assertion of Hubert Kennedy, as well as those to the size of the mathematical population. of Beth and van Heijenoort mentioned by Asenjo, In brief (yet again): Good mathematical that priority belongs to Levi. The question "research-exposition" is possible; it just won't which Asenjo's questioning of Moore's ascription be found very often in the Bulletin of the AMS. to Zermelo rather than Levi of priority raises then Craig Smoryfiski becomes: Is Levi's Partition Principle equivalent San Jose State University to the Axiom of Choice? Moore admits that it is. And so he assigns priority to Zermelo rather Axiom of Choice than Levi on the basis of Levi's negative attitude towards its use. I hope that our colleagues F. G. Asenjo's letter on the question of the (whether in Italy or elsewhere) will not find in priority of discovery of the Axiom . of choice this priority controversy another example of racial (Notices, October 1983, pages 602-603) reminded bias, similar to that found in denigration of the me of a conversation which I had with an Italian contributions of Peano as over and against the colleague several years ago when I was visiting (alleged) contributions of Russell. Milan. During the course of our discussion on Irving H. Anellis the correctness of Peano's Axiom of Succession, University of Iowa my host suggested that Russell was universally given credit for work which he had borrowed from Peano. My host went further, and expounded the Registration at Meetings thoery that anti-Semitism was the [hidden] motive After 23 years of membership in the AMS, I for assigning priority to Russell of discoveries decided not to pay my 1983 dues until late in which were in fact due to Peano. the year. That was one way to avoid receiving It is well known and generally acknowledged the Bulletin! The fact that I do not wish to that the notation of Russell's Prinicipia is receive the Bulletin does not mean that I do not essentially that of Peano. Russell himself wish to have an opportunity to read the Bulletin. acknowledged this (pages vii, viii of the Preface I don't want to receive Mathematical Reviews of 'Principia). On the first page of the Preface, either; they cost a lot of money too, and I don't Russell wrote that "symbolic logic [which] after have room for them in my office either. However, a necessary period of growth, has now, thanks to I do use Mathematical Reviews and I wish to Peano and his followers, acquired the technical support Mathematical Reviews. I also wish to adaptability and logical comprehensiveness that support AMS. On the other hand, I strongly object are essential to a mathematical instrument. . . ." to hiring guards to keep people from looking at This statement does absolutely nothing to identify mathematics books unless they are willing to pay the contributions of Peano and his school or to $49 to register for a meeting (e.g. Denver, January elucidate Russell's indebtedness to Peano. It 1983)! Before leaving for California to visit my seems indeed to have the opposite effect. In the daughter, I went to Denver to look at the new general consensus view of history of logic, it is mathematics books because our library only buys held that Peano presented an axiomatization of a few books. I chose not to pay and look at the set theory and of arithmetic in the same way that books. I also chose not to pay my AMS dues. You Euclid axiomatized geometry, but that Peano spend $12 to send me books that I don't want, failed to provide his system with the inference you hire guards so I can't look at mathematics rules required to make it a formal deductive books and you expect me to pay for such services. system. Russell himself (page viii of the Principia Having tilted my windmill, I enclose my dues Preface) provided the historical foundation for payment. the view that the Fregean Rule of Detachment Richard B. Darst provided the necessary logical tool for creating Colorado State University a formal deductive system out of Peano's axiom EDITOR'S NOTE: The table below extends that system, and that it was Russell's Principia that published in the February 1981 issue of the Notices effected this contribution. Alessandro Atti of (page 196); it shows how much money the Society loses on its national meetings. The fact that the size Rivista Internazionale di Logica points out that of the usual deficits is so high provides the real answer Peano's Axiom 9 of the Principles of Arithmetic to Professor Darst's complaint. The mathematical (usually referred to as Axiom 5 in the short list) organizations have not previously been making a very can be thought of as a weak version of Dedekind's serious effort· to see that these meetings are put on formulation .of Mathematical Induction, as it a sound financial basis. The Report on Registration usually is, or as a rule of logical inference. If Fees cited in the February 1981 Notices lists examples

17 which indicate that the fees charged by AMS and family in their request for exit visas from MAA in 1981 were extremely low in comparison with Romania. those of other groups. The fact of the matter Please write letters of support for my brother is that the Mathematics Meetings continue to get to the Romanian Embassy in Washington, D.C. more elaborate, the programs have been enriched 20520, and please express your concern to: Senator significantly, and more and more peripheral activities are scheduled. All of these trends make the meetings Daniel P. Moynihan, 733 Third Avenue, 22nd more expensive. Since costs would have risen even Floor, New York, New York 10017; Senator Al­ without any enhancements or expansion because of fonse M. D'Amato, Suite 1635, One Pennsylvania the inflation we have had for the past several years, Plaza, New York, New York 10001. the registration fees would have to grow much faster N. Teleman than inflation in order to keep things in balance. SUNY, Stony Brook The Society's Trustees entertain (almost periodically) proposals to cancel the Summer Meetings since they Addendum to the List of Refuseniks tend to put severe financial drains on the Society's resources. It is possible that they have become just I am a mathematician interested in the inverse too expensive to be supported by the members who problems of mathematical physics (potentials, attend them. The Society does not hire guards to coefficients identification, spectral problems). My stand outside the rooms where talks are given in wife is also a mathematician. Our family was first order to see to it that everyone who enters is wearing refused to emigrate from the U.S.S.R. in July 1982, a badge, as most other organizations do. But it is without legitimate grounds like knowledge of state necessary to hire a guard to sit all night to protect secrets or others approved in the International the books and other material exhibited or required by Covenant on Civil and Political Rights. the meeting staff. It follows that looking at books is not something that is free at all. It costs money and As a consequence I have lost my position of it gets more expensive every year. A few years ago researcher at the Institute of Mathematics and spot checks revealed that, on the average, ten percent of associate professor at the University. In the of those whose names appeared on the program failed exchange I was offered only a technical job that to register for the meeting. Surely, no one would does not fit my qualifications and at 40% of the agree that those who do register should support the previous salary. services provided to those who do not. I ask my colleagues to write to me and send Year Location Income Expense Deficit me preprints of their works, abstracts of papers Jan. 1980 San Antonio $100,600 $108,131 $ 7,531 presented at conferences, etc. to allow me to Aug. 1980 Ann Arbor 33,400 45,069 11,669 continue my research and not be cut off from Jan. 1981 San Francisco 104,230 84,818 (19,412) mathematical life. Aug. 1981 Pittsburgh 23,209 64,983 41,774 Victor Isakov Jan. 1982 Cincinnati 76,381 77,302 921 lljicha, 13, Apt. 37 Aug. 1982 Toronto 41,787 88,401 46,614 Novosibirsk, 630090, U.S.S.R. Jan. 1983 Denver* 93,628 122,597 28,969 *Unaudited estimates.

Silviu Teleman I am writing on behalf of my brother, mathe­ Policy on Letters to the Editor matician Silviu Teleman, member of this Society, Letters submitted for publication in the Notices are and his family living in Romania. reviewed by the Editorial Committee, whose task is Silviu Teleman has made important contribu­ to determine which ones are suitable for publication. tions in the theory of harmonic algebras, their The publication schedule requires from two to four months between receipt of the letter in Providence and spectral theory and their sheaf representation, publication of the earliest issue of the Notices in which algebraic reduction theory of von Neumann al­ it could appear. gebras; he is co-author of the Springer Lecture Publication decisions are ultimately made by majority Notes in Mathematics volume 248. For some of vote of the Editorial Committee, with ample provision his work, see Mathematical Reviews 50 #13165, for prior discussion by committee members, by mail or 46 #7920, 49 #1143, 54 #950; see also: 45 #9153, at meetings. Because of this discussion period, some letters may require as much as seven months before a #8677, 52 #15034. final decision is made. November 1981, Silviu Teleman, his wife In The committee reserves the right to edit letters. and their two sons applied for exit visas from The Notices does not ordinarily publish complaints Romania. Since then three times their exit visas about reviews of books or articles, although rebuttals were denied. Silviu, a person of high moral and correspondence concerning reviews in the Bulletin integrity, asks that the elementary right of any of the American Mathematical Society will be considered individual to emigrate be recognized to him and for publication. his family. With the time passing, their situation Letters should be mailed to the Editor of the becomes precarious in many respects. Notices, American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940, and will be I am appealing to the mathematical community acknowledged on receipt. to show support and help my brother Silviu's

18 National Science Foundation Reports on Mathematical Sciences and Science Engineering

Division of Mathematical Seienees Research Proposals. Please note a few changes from past practice. In particular, there is Following tradition, we are using this no longer any deadline for the submission of mechanism to keep you informed of the activities standard research proposals. Your faculty should of the National Science Foundation which are of be reminded that it takes six to nine months interest to the mathematical sciences community. to complete the processing of a proposal. In Also in keeping with tradition, this report is particular, we recommend allowing at least seven lengthy. months between the time the proposal is received Reorganization. There has been some significant and the time by which a decision on the proposal reorganization within the Division of Mathemati­ is desired. Complete information on submission cal and Computer Sciences of which the Mathe­ of research proposals will appear in the February matical Sciences Section was a part. A split of issue of the Notices. the division into two divisions has been made: one In a departure from tradition, we have decided a Division of Mathematical Sciences, the other a to refrain from sending letters reminding holders Division of Computer Research. In the Division of of expiring grants that they need to resubmit Mathematical Sciences, E. F. Infante is Division a proposal. This is part of a long-term Director with Judith S. Sunley as Acting Deputy project to encourage the mathematical sciences Division Director. In the Dlvision of Computer community to take greater responsibility for the Research, Kenneth Curtis is the official Deputy administrative details of their sponsored research Division Director and is currently the Acting projects. Your Research or Grants Office should Division Director. be able to provide a list of those who should be Personnel. As many of you know, William G. resubmitting proposals in the coming months. Rosen has retired from the Foundation and is Budget. The Congress has passed and the currently the Deputy Director of the U.S.- President has signed the FY 1984 Appropriation Binational Science Foundation. He will be in measure for the Foundation. Thus we are entering for three years. this fiscal year with a fairly clear understanding There has been a good deal of turnover in our of budget levels and priorities. The Division's professional and secretarial staff during the past budget will increase over FY 1983 by about 24%. year. Listed below are the program organization Much of that increase is targeted toward specific for the coming year and the program officers with items, such as enhanced support of graduate whom you will be dealing. We hope you will students and postdoctorals, visitor and sabbatical bear with us as the six incoming rotators become support, and increased support for computational oriented to our procedures. mathematics. Classical Analysis John V. Ryff Topology & Foundations Ralph Krause Graduate Students. In the past, the level Special Projects Alvin Thaler of support for graduate students on research Geometric Analysis Su-Shing Chen grants in the mathematical sciences has been Applied Mathematics Melvyn Ciment exceptionally low. The increase in funds for John Lagnese Algebra & Number Theory Bernard McDonald graduate support in FY 1984 is roughly equivalent Modern Analysis Frank Gilfeather to full-time support for 70 students. This adds Statistics & Probability Jerome Sacks to a base which is roughly equivalent to full­ Ryff, Krause and Thaler are regulars. Chen time support for 180 students. In distributing (University of Florida), Ciment (National Bureau the increased funds, the peer reviewers and of Standards), Lagnese (Georgetown Univer­ program directors need to evaluate not only the sity), McDonald (University of Oklahoma), Gil­ impact of graduate student support on a given feather (University of Nebraska), and Sacks research program, but also the impact of such () are rotators on leave support on the university's graduate program from their regular positions. and the appropriateness of such. support in the A special word of thanks is due our five broader context of the Division's responsibility outgoing rotators: Victor Barcilon (returning to for graduate training. In order that allocations the University of Chicago), George Cybenko be made on a consistent body of information, (returning to Tufts), Prem Goel (moving to Ohio we are encouraging department chairs (where State University), Harvey Keynes (returning to the appropriate) to provide us with information on University of Minnesota), and Zbigniew Nitecki their graduate programs and on how they have (returning to Tufts). Their hard work and used NSF graduate student support in the past. expertise were of great value in our activities We are making the request in this informal way during the past year. in the hope of initiating a continuing dialogue

19 with the mathematical sciences community on the -Dissemination of ideas and materials for subject of graduate student support. sustaining high quality precollege science and Advisory Panel. The Advisory Subcommittee mathematics teaching. for the Mathematical Sciences met October 14 -Applied research aimed at understanding how and 15, 1983. W. Browder of Princeton University the processes of teaching and learning of science is the chairman of this body. The committee's and mathematics can be more effective. advice is very important to us in setting priorities For FY 1984, the Science and Engineering and developing long-range plans for the Division. Education Appropriation totals $75 million. Of Suggestions for discussion items of concern to the this total $20 million is for Graduate Research community would be welcome for future meetings. Fellowships. Within this amount the number of Exciting Mathematical Interest. Researchers in new offers of awards will be increased from 500 the mathematical sciences have no difficulty in to 600. Also, the stipend and cost-of-education becoming excited about new results in the field; allowance for each fellow is increased, respectively, Those of us at NSF must not only learn of the from $6,900 to $8,100 and $4,000 to $4,900. The exciting results in the field, but convey in a amount of $55 million is for precollege activities. meaningful way the excitement of our community That will follow on and extend the FY 1983 to those whose primary interest is in other fields. plan. Additional program announcements can Your help in this task is essential and can be be expected, but these will not be published for provided by keeping us informed about important several months. research results and giving us your ideas on With substantially increased responsibilities, presenting those results to others. This is a crucial it is likely that there will be a significant part of our role in keeping the mathematical reorganization of the Office of Scientific and sciences in public view. Engineering Personnel and Education, including an increase in staff. We will endeavor to keep Seienee and Engineering Education you informed of developments. The Foundation strongly encourages the research community to A Directorate for Science and Engineering participate actively in its science and engineering Education has been established effective October education programs at all levels. Also, the Office 1, 1983. An internal organizational structure for is seeking qualified applicants for positions which this new directorate is now being developed. become available in the physical, mathematical The FY 1983 Appropriation for Science and and computer sciences. The positions will be filled Engineering Education was S30 million; $15 million on a one- or two-year basis under the provisions to continue the Graduate Research Fellowship of NSF's rotator program and are excepted from program; and $15 million to establish new the competitive civil service. The salaries range programs at the precollege level. The precollege from $34,930 to $53,661 per annum. Applicants plan for the use of these funds consists of three should have a Ph.D. or equivalent experience and activities: training in an appropriate field. Preference will be • Presidential Awards for Teaching Excellence given to those who have six years of teaching and in Science and Mathematics-to provide national research experience at the college or university recognition to outstanding science and mathe­ level beyond the Ph.D. Experience and familiarity matics teachers and help improve image and with mathematics and education at the secondary status of teachers-$1 million. school level are essential. Incumbents will also • Honors Workshops for Science and Mathe­ contribute to the range of staff expertise available matics Teachers to recognize and honor excellent to advise on other activities of the Office. teachers, provide renewal and updating for top It is important to note that the $75 million is quality teachers and utilize the perspective of part of the standard NSF appropriation for FY these teachers as planning aids to improve teach­ 1984 which already has been enacted into law. ing situations-$2 million. In addition, separate legislation is pending that • Materials Development for Precollege Science would authorize additional programs· in science and Mathematics-to develop teacher capabilities and mathematics education both for NSF and the in critical areas of science and mathematics and Department of Education. improve their instruction of students-$12 million. However, the outlook for this legislation is quite The Materials Development activity will sup­ uncertain. The House passed H. R. 1310 last port projects in five areas: March, but the Senate has not yet acted upon -Models and demonstrations of programs for the analagous S. 1285. Even with Senate action continuing education of teachers. on S. 1285, it is sufficiently different from H. R. -Development of materials, teaching aids, com­ 1310 to make the outcome of a House-Senate puter programs, software and systems and Conference unpredictable. Even given passage television-based materials, etc. to improve science of some compromise legislation, separate action and mathematics teaching. would still be necessary for appropriations for the -Analysis of precollege science and mathematics authorized programs. In a tight budget year, it is education systems. unclear what the result might be.

20 Final Words out this task. If you have any questions or are interested in following up any of the items The coming year will provide all of us with mentioned above, please feel free to contact any many challenges. Making individual decisions on a of us or the appropriate program officer. large number of proposals within the total budget Judith S. Sunley and E. F. Infante framework is becoming increasingly intricate. We Mathematical Sciences know we will have the cooperation of the entire Alphonse Buccino mathematical sciences community in carrying Science and Engineering Education

CONTEMPORARY MATHEMATICS, VOLUME 22 tables. Another appendix lists summaries of primality proofs for the large primes. A third appendix gives composite co factors up to 1 06 4 . Factorizations of The factorizations are presented in condensed form

bn :1: 11 b =2, 3, 5, 6, 71 10, 11 1 12 in the main tables. For the benefit of amateur mathe­ up to High Powers maticians (and professional mathematicians in a hurry) the complete factorizations of 2n - 1' 2n + 1' 1 on -1' john Brillhart, D. H. Lehmer, J. L. Selfridge, and 1if + 1 are collected in four tables. The limits Bryant Tuckerman, and S. S. Wagstaff, Jr. on n in these tables are smaller than those in the This book is the collection of hundreds of results main tables. of workers dating from the seventeenth century. It The book has an extensive and valuable introduc­ is an extension of a rare work by Cunningham (1925) tion to the tables. It describes the developments in with the same title. It gives an historical account of computing technology and in methods of factoring the various methods and machines that have been and primality testing which have occurred since 1925. used to factor, and prove prime, the numbers bn ± 1. It discusses the multiplicative structure of bn ± 1 and It is intended that the empty spaces in the tables be explains the relation between the two kinds of alge­ filled in by future workers. The back of the book braic factorizations of these numbers. contains an envelope for holding up-dating material. Libraries will need a reference copy. Many pro­ The factorizations and the very large primes are fessional 'and amateur mathematicians, especially in of use in applications to Group Theory, Number number theory and algebra, will want a copy. Some Theory, Random Number Generators and Cryptog­ computer scientists and cryptographers will also raphy. want a copy because the book has some connection As the title suggests, the book contains tables of to cryptography and data security. factorizations of bn - 1 and bn + 1 for b = 2, 3, 5, 1980 Mathematics Subject Classifications: 10A25; 10-04 6, 7, 10, 11, and 12 for n up to some large limit. Contemporary Mathematics This limit is 1200 forb= 2. For other b the limit Volume 22, lxiii + 180 pages (soft cover) is chosen so that b goes up to about 10150. Certain List price $22, institutional member $17, individual member $11 polynomial identities permit larger n in some cases. ISBN 0-8218-5021·0; LC 83-12316 25 Primes and probable primes larger than 10 are Publication date: September 1983 collected in an appendix to avoid cluttering the main To order, please specify CONM/22N

between the two is often deceptive. Thus, it is de­ AMS TRANSLATIONS, SERIES 2 sirable to publish from time to time a summary of important problems with the participation of a large circle of authors. The Kourovka notebook is such a The Kourovka Notebook: collection of unsolved problems in group theory. Unsolved Problems in Group Theory The current edition is the seventh, the first having appeared in 1965. Experience has shown that the translated by D. L. Johnson and others idea of collecting problems of interest in a given area Lev). Leitman and D. L. johnson, Editors at a given time is fully justified. Of the 422 prob- From the Preface: lems in the sixth edition, 151 have now been solved. To form an up-to-date picture of what is going This edition is augmented by Chapter 7. The on in a given area of mathematics, we usually consult first six chapters· have been reproduced from the a shelf of current periodicals or, to save time, the sixth edition with slight editorial changes. The com- appropriate section of a reviewing journal. Thus we ments on the problems have been reviewed and learn of new advances in the area, which problems augmented. have been solved, what progress has been made with 1980 Mathematics Subject Classification: 20-06 others, while rarely, and then only in the context of AMS Translations, Series 2 the author's own results, we learn which problems Volume 121, vi+ 112 pages (hard cover) the author failed to solve but considers interesting. List price $33, institutional member $25, individual member $17 In all this, a summary of current problems has no ISBN 0•8218-3079-1; LC 83-9965 less a place in the development of a subject than a Publication date: August 1983 list of achievements, though the apparent connection To order, please specify TRANS2/121 N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

21 AMERICAN MATHEMATICAL SOCIETY PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS

The Mathematical Heritage of Henri Poincare Section 4. Several complex variables Felix E. Browder, Editor Michael Beals, and Robert Gross­ man, Strictly pseudoconvex domains in en On April 7-10, 1980, the American Mathematical Phillip A. Griffiths, Poincare and algebraic geometry Society sponsored a Symposium on the Mathematical Roger Penrose, Physical space-time and nonrealizable Heritage of Henri Poincare, held at Indiana University, CR-structures Bloomington, Indiana. This volume presents the R. 0. Wells, Jr., The Cauchy-Riemann equations and written versions of all but three of the invited talks differential geometry presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for pub­ PART 2 lication). In addition, it contains two papers by in­ Section 5. Topological methods in nonlinear problems vited speakers who were not able to attend, S. S. , Lectures on Morse theory, old and new Chern and L. Nirenberg. Haim Brczis,.Periodic solutions of nonlinear vibrating If one traces the influence of Poincare through the strings and duality principles major mathematical figures of the early and mid­ Felix E. Browder, Fixed point theory and nonlinear twentieth century, it is through American mathemati­ problems cians as well as French that this influence flows, L. Nirenberg, Variational and topological methods in through G. D. Birkhoff, Solomon Lefschetz, and nonlinear problems Marston Morse. This continuing tradition represents Section 6. Mechanics and dynamical systems one of the major strands of American as well as J can Leray, The meaning of Maslov's asymptotic world mathematics, and it is as a testimony to this method: the need of Planck's constant in mathe­ tradition as an opening to the future creativity of matics mathematics that this volume is dedicated. David Ruelle, Differentiable dynamical systems and the problem of turbulence Contents: PART 1 Steve Smale, The fundamental theorem of algebra Section 1. Geometry and complexity theory and recurrence Shiing-Shen Chern, Web geometry Section 7. Ergodic theory J un-lchi lgusa, Problems on abelian functions at the Harry Furstenberg, Poincare recurrence and number time of Poincare and some at present theory , Hyperbolic geometry: the first 150 H. Furstenberg, Y. Katznclson and D. Ornstein, The years ergodic theoretical proof of Szemeredi's theorem Ngaiming Mok and Shing-Tung Yau, Completeness of Section 8. Historical material the Kohler-Einstein metric on bounded domains P. S. Aleksandrov, Poincare and topology and the characterization of domains of holomorphy Henri Poincare, Resume analytique by curvature conditions jacques Hadamard, L'oeuvre mathematique de Poin­ Alan Weinstein, care Section 2. Topology 1980 Mathematics Subject Classifications: 01, 14, 22, 30, 32 & others J. Frank Adams, Graeme Segal's Burnside ring con­ Proceedings of Symposia in Pure Mathematics jecture Volume 39: Parts 1 and 2 (hard cover) William P. Thurston, Three dimensional manifolds, x + 439 pages (Part 1); vi + 470 pages (Part 2) Kleinian groups and hyperbolic geometry Set: List price $75, institutional member $56, individual member $38 Section 3. Riemann surfaces, discontinuous groups Each part: List price $40, institutional member $30, and Lie groups individual member $20 Lipman Bers, Finite dimensional Teichmu!ler spaces Set: ISBN 0-8218-1442-7; LC 83-2774 and generalizations Part 1: ISBN 0-8218-1448-6; LC 83-2774 Wilfried Schmid, Poincare and Lie groups Part 2' ISBN 0-8218-1449-4; LC 83-2774 Publication date: August 198 3 , Discrete conformal groups and mea- To order, please specify (Set) PSPUMI39 F surable dynamics (Part 1) PSPUM/39.1 N; (Part 2) PSPUMI39.2 F American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rhode Island 02901, USA. Prepayment is required or charge with Visa or MasterCard.

22 Louisville Meetings, January 25-28, 1984 Program for the 90th Annual Meeting

The January 1984 Joint Mathematics Meetings, 90th Annual Meeting of the AMS including the 90th Annual Meeting of the AMS January 25-28, 1984 and the 67th Annual Meeting of the Mathematical Association of America will be held January 25- 28 (Wednesday-Saturday), 1984, in Louisville, Fifty-seventh Josiah Willard Gibbs Lecture Kentucky. The meetings will be preceded by the The 1984 Gibbs lecture will be presented at 8:30 AMS Short Course on January 23-24 (Monday­ p.m. on Wednesday, January 25, by HERBERT A. Tuesday), 1984. Sessions will take place in the SIMON of Carnegie-Mellon University. Professor Commonwealth Convention Center and the Hyatt Simon will speak on Computer programs that Regency Louisville. model the process of scientific and mathematical The members of the Local Arrangements discovery. Committee are W. Wistar Comfort (ex-officio), Colloquium Lectures Roger H. Geeslin (publicity director), Thomas L. Holloman, William J. LeVeque (ex-officio), David There will be a series of four Colloquium Lectures P. O'Toole, David P. Roselle (ex-officio), Richard presented by of Harvard University. Werle, and W. Wiley Williams (chairman). The title of this lecture series is On the arithmetic · of curves. The lectures will be given at 1:00 p.m. daily, Wednesday through Saturday, January 25-28. WHERE TO FIND IT PAGE Boeher Prizes ANNUAL MEETING OF THE AMS 23 Gibbs Lecture, Colloquium Lectures, Prizes, The 1984 Bocher Memorial Prizes will be awarded Invited Addresses, Special Sessions, Contributed at 4:00p.m. on Thursday, January 26. Papers, Other AMS Sessions, Council and Invited Addresses Business Meetings AMS SHORT COURSE 25 By invitation of the Program Committee, there will be eight invited one-hour addresses. The names EMPLOYMENT REGISTER 43 of the speakers, their affiliations, and the dates, ANNUAL MEETING OF THE MAA 28 times, and titles of their talks follow: Retiring Presidential Address, Invited Addresses, Minicourses, Other MAA Sessions, GuNNAR CARLSSON, University of California, Business Meeting, Board of Governors San Diego, Segal's Burnside ring conjecture, 2:15 OTHER ORGANIZATIONS 30 A~,NAM,NSF,RMMC TIMETABLE 27 OTHER EVENTS OF INTEREST 30 Book Sales, Exhibits, MATHFILE, Meeting of Department Chairmen, Petition Table ACCOMMODATIONS 32 Hotels REGISTRATION AT THE MEETINGS 'Fees, Dates and Times, Services MISCELLANEOUS INFORMATION 42 Child Care, Local Information, Parking, Social Event, Travel, Weather MAP 34 PRESENTERS OF PAPERS 45 PROGRAM OF THE SESSIONS 47 IMPORTANT DEADLINES AMS Abstraets, For eonsideration for special sessions Expired Of eontributed papers Expired Employment Register (Applicants & Employers) Expired Preregiatration and Housing Expired Motions for AMS Business Meeting Expired Preregistration cancellations (50% refund) January 22 Dues credit for nonmembenfatudents February 29

Herbert A. Simon, Gibbs Lecturer

23 Incompressible fluid flow, J. THOMAS BEALE, Duke University, Wednesday and Friday afternoon. Charles J. Amick, J. Thomas Beale, Kenneth L. Bowers, A. Y. Cheer, P. Constantin, Ronald J. DiPerna, Avron Douglis, John G. Heywood, Jong Uhn Kim, John Reeder, Michael Renardy, Marvin Shinbrot, and Bruce Turkington. Function theoretic operator theory, JoHN B. CONWAY, Indiana University, Wednesday morning and afternoon. Jim Agler, Sheldon Axler, H. Bercovici, Scott W. Brown, Kevin F. Clancey, John B. Conway, Carl C. Cowen, James Dudziak, J. William Helton, Thomas L. Kriete III, C. R. Putnam, Jim Thomson, Tavan T. Trent, and Charles H. Voas. Random walks on finite groups, PERSI DIACONIS, , Thursday morning. David Aldous, Fan R. K. Chung, Persi Diaconis, Leopold Flatto, R. L. Graham, and M. Shahshahani. Ordered algebraic structures, ANDREW M. W. GLASS, Bowling Green State University, Thursday morning, Friday and Saturday afternoons. Richard N. Ball, Paul Conrad, Michael R. Darnel, John Dauns, Trevor Evans, Anthony W. Hager, Melvin Henriksen, Mary E. Huss, Suzanne Larson, James J. Madden, Jorge Martinez, Stephen H. McCleary, Frane

24 American Mathematical Society Short Course Series Introductory Survey Lectures on Mathematics of Information Processing Louisville, Kentucky, January 23-24, 1984

The American Mathematical Society, in conjunction with its ninetieth annual meeting, will present a one and one-half day short course titled Mathematics of Information Processing on Monday afternoon and Tuesday morning and afternoon, January 23 and 24, 1984, at the Hyatt Regency Louisville. The program is under the direction of Michael Anshel of CUNY, City College, and William Gewirtz of Bell Laboratories, Hohndel. The course will cover a number of areas in which mathematical techniques have led to a deeper understanding of Information Processing. The earliest applications of mathematics were in the design and analysis of algorithms and in the modeling of systems performance. Motivated by the challenge to use effectively the capabilities resulting from dramatically increased system capacity, multi-programming, parallel processing, and distributed computing environments, mathematics continues to play an important role in the design and analysis of computer systems. While mathematical logic and related disciplines have traditionally been intimately related to the foundations of computing, areas of more practical application have arisen in recent years. Specifically, in the area of database systems, both database languages and database design techniques have seen important applications of mathematical logic and related subjects. Synopses of the talks and accompanying reading lists appeared on pages 661-662 of the October 1983 Notices. The speakers and their titles are:. Fan R. K. Chung (Bell Laboratories, Murray Hill), Diameters of Communication Networks; Hector Garcia-Molina (Princeton University), Transaction Management; Barry E. Jacobs (University of Maryland), FUndamental Database Issues; VictorS. Miller (IBM, Yorktown Heights), Data Compression Algorithms; Avgustin Tuzhilin (CUNY, City College at Staten Island), Application of Category Theory of Structural Sets to Modeling of Information Bases of Systems; and Moshe Y. Vardi (IBM, San Jose), The Theory of Data Dependencies-A survey. Time will be allocated for summarizing and integrating the material presented in the lectures. The short course is open to all who wish to participate upon payment of the registration fee. There are reduced fees for students and unemployed individuals. Please refer to the section on Registration at the Meetings for details. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett, Lisl Novak Gaal, , Robert W. McKelvey, Donald C. Rung (chairman), and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, whose members are Stefan A. Burr (chairman), Lisl Novak Gaal, Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr.

25 Frank DeMeyer, Joe W. Fisher, Robert Gordon, Research and Engineering, has a long acquaintance Edward L. Green, A. G. Heinicke, I. N. Herstein, with applications of mathematics. A communcations Leonid Makar-Limanov, W. S. Martindale III, D. engineer trained at the Massachusetts Institute of S. Passman, Amatai Regev, Richard Resco, M. K. Technology, he spent twenty years at Bell Telephone Smith, and R. L. Snider, and Robert B. Warfield, Jr. Laboratories, where he became Executive Director of Commutative algebra, IRA J. P APICK, University Research before being asked to serve by the White of Missouri, Columbia, Wednesday morning and House. afternoon and Thursday morning. D. D. Anderson, AMS Committee on Employment David F. Anderson, Luchezar Avramov, James and Educational Policy Brewer, Douglas Costa, Paul M. Eakin, E. Graham A Panel Discussion, moderated by LIDA K. Evans, Jr., Richard Fedder, Robert Gilmer, Sarah BARRETT, on the supply of mathematical science Glaz, William Heinzer, Melvin Hochster, E. G. researchers in the 1990s will be held from 4:45 Houston, James A. Huckaba, Craig Huneke, Jon L. p.m. to 6:15 p.m. on Friday, January 27. Speakers Johnson, Andrew R. Kustin, David Lantz, Bernd include Maureen McKeough, James D. Stasheff, Gail Ulrich, and W. V. Vasconcelos. S. Young, and Wilson M. Zaring fll-posed problems, WILLIAM L. PERRY, Texas Council Meeting A & M University, Wednesday morning and afternoon and Friday afternoon. John R. Cannon, Paul Du The Council of the Society will meet at 2:00 Chateau, C. W. Groetsch, F. Alberto Griinbaum, p.m. on Tuesday, January 24, in the Hyatt Regency Alan V. Lair, D. A. Lee, Sung J. Lee, Howard Louisville. A. Levine, W. R. Madych, Joyce R. McLaughlin, Business Meeting M. Zuhair Nashed, Roger G. Newton, Lawrence E. The Business Meeting of the Society will take place Payne, William Rundell, R. E. Showalter, William immediately following the award of the BOcher Prize W. Symes, and M. Vogelius. at 4:00 p.m. on Thursday, January 26. The secretary Semigroup theory, W. WILEY WILLIAMS, notes the following resolution of the Council: Each University of Louisville, Thursday morning, Friday person who attends a Business Meeting of the Society and Saturday afternoon. Jorge Almeida, Bridget B. shall be willing and able to identify himself as a Baird, D. R. Brown, Karl Byleen, Haskell Cohen, member of the Society. In further explanation, it is Michael P. Drazin, J. A. Hildebrant, John M. Howie, noted that each person who is to vote at a meeting K. G. Johnston, Peter R. Jones, Yuji Kobayashi, R. J. Koch, R. D. Kopperman, Gerard Lallement, Jimmie Lawson, K. D. Magill, Jr., Bernard L. Madison, Donald B. McAlister, Robert H. Oehmke, Mohan S. Puchta, Norman R. Reilly, Boris M. Schein, J. W. Stepp October 12 was the deadline for submission of abstracts for consideration for inclusion in these special sessions. Contributed Papers There will be sessions for contributed papers Wed­ nesday morning and afternoon, Thursday morning, Friday afternoon, and Saturday afternoon. Novem­ ber 2 was the deadline for submission of abstracts for contributed papers. Late papers will not be accepted. Other AMS Sessions Mathematics and Government EDWARD E. DAVID, JR., former Science Advisor to the President of the United States, will deliver a Special Address titled Mathematics in the technical enterprise: Maximizing the impact at 4:45 p.m. on Wednesday, January 25. A major effect on future support of mathematical research in the country is expected from the findings of the Committee on Resources from the Mathematical Sciences, which Dr. David has chaired for the past two-and-one-half-years. The Committee's report, which has just been submitted to the National Research Council, is expected to form the background for his talk. Dr. David, currently President of Exxon Edward E. David, Jr.

26 TIMETABLE (Eastern Standard Time)

The final version of the Timetable and Program, including room assignments, will be distributed at the meeting.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

MONDAY, January 23 MATHEMATICS OF INFORMATION PROCESSING 11:00 a.m. - 4:00 p.m. REGISTRATION (Short Course only)

2:00p.m. - 3:00 p.m. Fundamental database issues Barry E. Jacobs 3:30 p.m. - 4:30p.m. The theory of data dependencies-a survey Moshe Y. vardi 4:45p.m. - 5:15 p.m. General discussion

TUESDAY, January 24

8:00 a.m. - 2:00 p.m. -REGISTRATION (Short Course only)

9:00a.m. - 10:00 a.m. Diameters of communication networks Fan R. K. Chung 10:30 a.m. - 11:30 a.m. Data compression algorithms Victor S. Miller 1:30 p.m. - 2:30 p.m. Application of category theory of structural sets to modeling of information bases of systems Avgustin Tuzhilin 3:00p.m. - 4:00p.m. Transaction management Hector Garcia-Molina 4:15 p.m. - 4:45 p.m. General discussion

JOINT MATHEMATICS MEETINGS

TUESDAY, January 24 American Mathematical Society Mathematical Association of America

2:00p.m. - 10:00 p.m. COUNCIL MEETING

4:00p.m. - 8:00 p.m. REGISTRATION

4:00p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE

WEDNESDAY, January 25 AMS MAA

8:00 a.m. - 5:00 p.m. REGISTRATION

8:00 a.m. - 5:00p.m. AMS BOOK SALE MAA BOOK SALE

SPECIAL SESSIONS 8:00 a.m. - 11:20 a.m. Commutative Algebra I

8:00a.m. - 11:50 a.m. Vector Field Systems and Control I

SESSIONS FOR CONTRIDUTED PAPERS 8:30a.m. - 11:55 a.m. Ring Theory

8:30a.m. - 11:55 a.m. Combinatorlcs

9:00a.m. - 10:00 a.m. INVITED ADDRESS The Yang-Mills equation as a nonlinear Hodge theory Simon K. Donaldson SPECIAL SESSIONS 9:00 a.m. - 10:50 a.m.[ Homotopy Theory I

27 is thereby identifying himself as and claiming to be a member of the American Mathematical Society. Minicourses For additional information on the Business Meeting, Minicourse #1: , please refer to the box titled Committee on the CHARLES E. HAFF, University of Waterloo. for Business Meetings. Agenda Minicourse #2: Discrete algorithmic math­ ematics, STEPHEN B. MAuRER, Swarthmore 67th Annual Meeting of the MAA College. January 26-28, 1984 Minicourse #3: Teaching problem solving, MAA Sessions will take place in the Common­ ALAN H. ScHOENFELD, University of Rochester. wealth Convention Center and the Hyatt Regency Minicourse #4: Applications of discrete Louisville. mathematics, FRED S. RoBERTS, Rutgers Retiring Presidential Address University. RICHARD D . .ANDERSON, Louisiana State Minicourse #5: Problems from industry, University, Baton Rouge, will deliver his Retiring JEANNE L. AGNEW and MARVIN S. KEENER, Presidential Address on Reflections on the mys­ both of Oklahoma State University. tique of R. L. Moore at 9:00 a.m. on Saturday, Minicourse #6: Applications of computer January 28. This talk will be preceded at 8:00 graphics, JOAN WYZKOSKI, Bradley University. a.m. by a film about the late R. L. Moore titled Minicourse #7: CONDUIT microcomputer Challenge in the classroom. software, DAVID A. SMITH, Duke University. Invited Addresses Minicourse #8: NoncONDUIT microcomputer There will be seven invited fifty-minute ad­ software, DAVID A. SMITH, Duke University. dresses. The list of speakers, their affiliations, the dates and times of their talks, and their titles Committee on the Agenda for Business Meetings follow: Beta and gamma functions from Euler to Selberg The Society has a Committee on the Agenda and beyond, RICHARD A. AsKEY, University of for Business Meetings. The purpose is to make Wisconsin, 10:00 a.m., Saturday; Turning good Business Meetings orderly and effective. The mathematics into good TV, DONALD BERMAN and committee does not have legal or administrative Ross L. FINNEY both of COMAP, noon, Saturday; power. It is intended that the committee Nonexpansive maps, ANDREW M. GLEASON, consider what may be called "quasi-political" Harvard University, 11:00 a.m. Saturday; The motions. The committee has several possible computer as a grader, MELVIN MARON, University courses of action on a proposed motion, includ­ of Louisville, 9:00 a.m., Friday; Mathematics ing but not restricted to in industry-How do problems arise?, HENRY (a) doing nothing; 0. POLLAK, Central Staff Organization for (b) conferring with supporters and opponents the Regional Bell Operating Companies, 10:00 to arrive at a mutually accepted amended a.m., Friday; Some examples of combinatorial version to be circulated in advance of the averaging, HERBERT S. WILF, University of meeting; Pennsylvania, 9:00 a.m., Friday; Computational (c) recommending and planning a format for geometry: Paradigms and applications, FRANCES debate to suggest to a Business Meeting; YAo, Xerox Corporation, 11:00 a.m., Friday. (d) recommending referral to a committee; Minicourses (e) recommending debate followed by referral The MAA will give eight Minicourses. Please to a committee. refer to the box titled Minicourses for titles and There is no mechanism that requires organizers. automatic submission of a motion to the com­ The Minicourses are open only to persons mittee. However, if a motion has not been who have registered for the Joint Mathematics submitted through the committee, it may be Meetings and paid the Joint Meetings registration thought reasonable by a Business Meeting to fee. refer it rather than to act on it without benefit The Minicourses have separate registration fees of the advice of the committee. of $20 each, and are limited to 30 participants The committee consists of Everett Pitcher each. Payment of the fee(s) must be made to (chairman), Marian B. Pour-El, David A. the Minicourse Cashier at the meeting registra­ Sanchez, and Guido L. Weiss. tion desk in Louisville two hours prior to the In order that a motion for the Business beginning of the Minicourse or the reservation Meeting of January 26, 1984 receive the service will be relinquished to someone on the waiting offered by the committee in the most effective list. When making payment, the participant manner, it should have been in the hands of the should present the confirmation to the cashier. secretary by December 27, 1983. "Standby" reservation confirmations will be issued was received Everett Pitcher, Secretary to participants whose preregistration after the Minicourse was fille.d. These individuals

28 TIMETABLE

WEDNESDAY, January 25 American Mathematical Society Mathematical Association of America

SPECIAL SESSIONS 9:00 a.m. - 11:50 a.m. FlUlction Theoretic Operator Theory I

9:00 a.m. - 11:50 a.m. Partial Differential Operators I

SESSIONS FOR CON'IRIBUTED PAPERS 9:15 a.m. - 11:55 a.m. Convergence and Approximation Theory

9:30 a.m. - 11:55 a.m. Geometry and Topology

9:45 a.m. - 11:55 a.m. Operator Theory (Abstract)

9:45 a.m. - 11:55 a.m. Ordered Algebraic Structures

SPECIAL SESSION 10:00 a.m. - 11:50 a.m. Ill-posed Problems I

10:15 a.m. - 11:15 a.m. INVITED ADDRESS Design and analysis of self-adjusting data structures Robert E. Tarjan SESSION FOR CON'IRIBUTED PAPERS 10:45 a.m. - 11:55 a.m. Fields, Rings and Modules

COLLOQUIUM LECTURES 1:00 p.m. - 2:00 p.m. Lecture I: On the arithmetic of curves Barry Mazur 1:00 p.m. - 5:00 p.m. EXHIBITS

SESSIONS FOR CON'IRIBUTED PAPERS 1:15 p.m. - 5:10 p.m. FlUlctional Analysis

1:15 p.m. - 3:40 p.m. Operator Theory (Hard-core)

1:15 p.m. - 5:10 p.m. Classes of Complex-valued FlUlctions

SPECIAL SESSION 2:05 p.m. - 5:35 p.m. vector Field Systems and Control II

2:15 p.m. - 3:15 p.m. INVITED ADDRESS Segal's Burnside ring conjecture GlUlnar Carlsson SPECIAL SESSIONS 2:15 p.m. - 6:05 p.m. FlUlction Theoretic Operator Theory II 2:15 p.m. - 5:05 p.m. Partial Differential Operators II 2:15p.m. - 4:35 p.m. ill-posed Problems II 2:15 p.m. - 6:05 p.m. Ring Theory I 2:15 p.m. - 5:05 p.m. Commutative Algebra II

SESSIONS FOR CON'IRIBUTED PAPERS 2:30p.m. - 3:25 p.m. Generalized Integration Theory 2:30p.m. - 3:40 p.m. Sur faces and Curves 2:30p.m. - 3:55 p.m. History, Pedagogy and Topics in Undergraduate Mathematics 2:30p.m. - 5:40 p.m. Algebraic Structures

SPECIAL SESSION 2:45 p.m. - 5:35 p.m. Incompressible Fluid Flow I

29 should check with the Minicourse Cashier one A party is being planned for Thursday evening, hour prior to the Minicourse to see if any openings January 26, in the Pool Area on the fourth floor have occurred. of the Hyatt Regency Louisville. If the only reason for registering for the Joint The fifth annual AWM Emmy Noether Lecture Meetings is to gain admission to a Minicourse, this will be given at 10:00 a.m. on Friday, January should have been indicated by eheeking the ap­ 27, by MARY ELLEN RUDIN. Her title is propriate box on the preregistration form. Then, Paracompactness. if the minicourse is full, full refund ean be made The National Association of Mathematicians of the Joint Mathematics Meetings preregistration {NAM) will receive the William W. S. Claytor fees. Otherwise, the Joint Meetings preregistra­ Lecture at 10:15 a.m. on Thursday, January 26, tion will be processed, and then be subject to the from A. T. BHARUCHA-REm, who will speak 50 percent refund rule. on Some notions and applications in -numerical methods. Other MAA Sessions NAM will sponsor a Panel Discussion titled There will be a Panel Discussion at 11:00 a.m. Some approaches for providing computer literacy on Friday, January 27. The moderator is JoAN for students in small colleges and universities LEITZEL of Ohio State University. The topic is at 11:15 a.m. on Friday, January 27. The list Issues in remediation. of speakers includes Melvis Atkinson, Samuel The Committee on Corporate Members will H. Douglas (moderator), Henry L. Hardy, John hold a session at 10:00 a.m. on Saturday, January Harris, and Nelloise Watkins. 28. The moderator is JERRY LYONS of Prindle, The NAM Business Meeting will take place at Weber and Schmidt. The topic is Mathematics 1:30 p.m. on Friday, January 27. publishing, copyright, and software. Speakers The National Science Foundation (NSF) will include Carol Rischer and Robert Sickles. sponsor an address on Thursday, January 26 at There will be a Panel Discussion at 11:00 a.m. 2:15 p.m. The speaker is JUDITH S. SuNLEY, Acting Deputy Division Director, Mathematical on Saturday, January 28. The moderator is Sciences Division of NSF; her title is The MARTHA SIEGEL of Towson State University. Mathematical Sciences at the National Science The topic is Beginning integration: Calculus and Foundation. discrete mathematics in the first two years. The NSF will again be represented at a booth The Cominittee on Retraining for Computer in the exhibit area. NSF staff members will be Sciences will hold a Panel Discussion at 3:30 available to provide counsel and information on p.m. on Saturday, January 28. The moderator NSF programs of interest to mathematicians from is DoNALD L. KREIDER of Dartmouth College. 9:00 a.m. to 5:00 p.m., Thursday and Friday, The topic is Progress report on the Clarkson January 26-27. Institute for Retraining in Computer Sciences The Roeky Mountain Mathematics Consortium Conducted Under the Auspices of the Joint (RMMc) will sponsor a symposium on The ACM/MAA Committee on Retraining for Computer mathematics of large scale simulation at 2:15 p.m. Sciences. on Friday, January 27. The symposium has been Business Meeting organized and will be moderated by A. DuANE PoRTER of the University of Wyoming. The The Business Meeting of the MAA will take speakers are RICHARD EWING of the University of place at noon on Friday, January 27, at which Wyoming (formerly of Mobil Oil Company) and the 1984 Award for Distinguished Service, the THOMAS RussELL of Marathon Oil Company. Chauvenet Prize, and the Lester R. Ford Awards The speakers will discuss several mathematical for expository writing will be presented. aspects of large scale simulation. First, various Board of Govemors physical models leading to mathematical models which require significant computational effort will The MAA Board of Governors will meet at 9:00 be introduced. Then some techniques for dis­ a.m. on Thursday, January 26. cretizing these coupled systems of partial differen­ Section Officers tial equations will be surveyed. Certain difficulties will There will be a Section Officers' meeting at 4:00 found in current simulators be discussed and new methods to alleviate these difficulties will p.m. on Friday, January 27. be presented. Finally, various linearization and ACTMTIES OF OTHER ORGANIZATIONS linear solution techniques for large scale problems will be considered. The Association for Women in Mathematics The RMMC Board of Directors will meet at 2:00 (AWM) will sponsor a Panel Discussion on Lipman p.m. on Thursday, January 26. Bers, a mathematics mentor at 11:15 a.m. on Thursday, January 26. Speakers include OTHER EVENTS OF INTEREST Jozef Dodziuk, Jane P. Gilman, Linda Keen (moderator), Irwin Kra, Tilla Klotz Milnor, and A National Meeting of Department Chairmen Lesley Sibner. The AWM Business Meeting will Sponsored by the Joint Concerns Committee for follow the Panel Discussion at 12:30 p.m. Mathematics, the AMS, MAA, and the Society for

30 TIMETABLE

WEDNESDAY, January 25 American Mathematical Society Mathematical Association of America

3:30 p.m. - 4:30 p.m. INVITED ADDRESS I Some recent results concerning minimal surfaces Leon Simon I 4:45 p.m. - 5:45 p.m. SPECIAL INVITED ADDRESS Maximizing the impact of mathematics Edward E. David, Jr., President of Exxon Research and Engineering

8:30 p.m. - 9:30 p.m. JOSIAH WILLARD GffiBS LECTURE Computer programs that model the process of scientific and mathematical discovery Herbert A. Simon.

THURSDAY, January 26 AMS MAA and Other Organizations

8:00 a.m. - 4:00 p.m. REGISTRATION

8:00a.m. - 4:00p.m. AMS BOOK SALE MAA BOOK SALE

SPECIAL SESSIONS 8:30 a.m. - 11:50 a.m. Commutative Algebra III

8:30 a.m. - 11:50 a.m. Semigroup Theory I

SESSIONS FOR CONTRIBUTED PAPERS 8:30 a.m. - 11:55 a.m. Differential Equations and Boundary Values I

8:30 a.m. - 9:40 a.m. Logic and Foundations

8:30 a.m. - 11:55 a.m. Differential Equations

8:30 a.m. - 12:30 p.m. Stochastic Processes

8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #2 Discrete algorithmic mathematics Stephen B. Maurer

SESSION FOR CONTRffiUTED PAPERS 8:45 a.m. - 10:40 a.m. Applied Analysis

9:00 a.m. - 9:30 a.m. EMPLOYMENT REGISTER ORIENTATION SESSION

9:00 a.m. - 10:00 a.m. INVITED ADDRESS Vorticity and fluid dynamics Andrew Majda SPECIAL SESSIONS 9:00 a.m. - 12:20 p.m. Ring Theory II

9:00 a.m. - 11:50 a.m. Random Walks on Finite Groups

9:00 a.m. - 11:50 a.m. Ordered Algebraic Structures I

9:00 a.m. - 11:50 a.m. Partial Differential Operators Ill

9:00 a.m. - 4:00 p.m. MAA - BOARD OF GOVERNORS MEETING

9:00 a.m. - 5:00 p.m. EXHffiiTS

9:30 a.m. - 4:00 p.m. EMPLOYMENT REGISTER REGISTRATION

SPECIAL SESSION 9:30 a.m. - 11:50 a.m. Homotopy Theory II

31 Exhibits Petition Table The book and educational media exhibits are At the request of the AMS Committee on located in Exhibit Space C of the Commonwealth Human Rights of Mathematicians, a table will Convention Center and will be open Wednesday, be made available in the meeting registration January 25, through Saturday, January 28. The area at which petitions on behalf of named exhibits will be open from 1:00 p.m. to 5:00 p.m. individual mathematicians suffering from human on Wednesday; from 9:00 a.m. to 5:00 p.m. on rights violations may be displayed and signed by Thursday and Friday; and from 9:00 a.m. to noon meeting participants acting in their individual on Saturday. All participants are encouraged to capacities. visit the exhibits during the meeting. Participants Signs of moderate size may be displayed at visiting the exhibits will be asked to display their the table, but must not represent that the case meeting badge in order to enter the exhibit area. of the individual in question is backed by the Committee on Human Rights unless it has, in MATHFU..E fact, so voted. Volunteers may be present at MATHFIT..E, the computerized version of Math­ the table to provide information on individual ematical Reviews, will be demonstrated in the cases, but notice must be sent at least seven (7) exhibit area during regular registration hours. days in advance of the meeting to the Meetings Sample literature searches on material published Department in Providence (telephone 401-272- in MR since 1973 will be performed on request, 9500). Since space is limited, it may also be with printed results available in minutes. necessary to limit the number of volunteers MATHFIT..E is available through two U.S. on­ present at the table at any one time. The line vendors, BRS and DIALOG. In addition, the Committee on Human Rights may delegate a European vendors SAMSOM Data Systemen and person to be present at the table at any or all the European Space Agency (ESA) will offer MATH­ times, taking precedence over other volunteers. FIT..E, with access from the U.S. at comparable Any material which is not a petition (e.g., telecommunication rates. advertisements, resumes) will be removed by the staff. When registration closes, any material Rare Book Exhibit on the table will be discarded, so individuals The University of Louisville (Belknap Campus) placing petitions on the table should be sure to will mount an exhibition of rare books from remove them prior to the close of registration. the William Marshall Bullitt Collection of Math­ ematics and Astronomy in the Department of Industrial and Applied Mathematics, this meeting Rare Books on the ground floor of the Ekstrom is intended to be a step towards discussion of issues Library. The library is approximately 20 blocks relating to the revitilization of mathematics and south of the Commonwealth Convention Center, mathematics departments. The program is still in off Third Street. Directions for reaching the the formative stage, but likely topics include the university campus can be obtained at the Local recruiting of mathematicians, the development Information Section of the meetings registration of a database for mathematics departments, the desk. Those interested are invited to view report of the Committee on Resources for the the exhibition between 9:00 a.m. and 6:00 p.m., Mathematical Sciences, the relationship between Wednesday through Friday. mathematics and computer science, and the need for an agenda for future meetings of ACCOMMODATIONS chairmen. The organizing committee members are David Ballew, Felix Browder, Paul Davis, Hotels Bernard Madison (chairman), Robert O'Malley, and William Trotter. The rates listed below are subject to a 5 percent sales tax and a 4.2 percent occupancy Book Sales tax. The number after the name of the hotel Books published by the AMS and MAA will be is the number it carries on the map. The sold for cash prices somewhat below the usual estimated walking distance from the hotel to the prices when these same books are sold by mail. Commonwealth Convention Center is given in These discounts will be available only to registered parentheses following the telephone number. participants wearing the official meeting badge. Reservations at these hotels cannot be made by VISA and MAsTERCARD credit cards will be calling the hotel directly until after January 15, accepted for book sale purchases at the meeting. 1984. Also, after that date, the rates below may The book sales will be open the same days not apply. and hours as the Joint Mathematics Meetings In all cases "single" refers to one person in registration desk (except on Saturday, January one bed; "double" refers to two persons in one 28, when they will close at 2:00 p.m.) and are bed; "twin" refers to two persons in two single located in Exhibit Space C of the Commonwealth beds; and "twin double" refers to two persons in Convention Center. two double beds. A rollaway cot for an extra

32 TIMETABLE

Mathematical Association of America THURSDAY, January 26 American Mathematical Society and Other Organizations SESSIONS FOR CONTRIBUTED PAPERS 9:30 a.m. - 11:55 a.m. Topologized Algebraic Structures

9:50 a.m. - noon Graph Theory

10:15 a.m. - 11:15 a.m. National Association of Mathematicians WILLIAMS. CLAYTOR LECTURE Some notions and applications in probability theory-numerical methods A. T. Bharucha-Reid

SESSION FOR CONTRIBUTED PAPERS 11:00 a.m. - 11:55 a.m. Control Theory

11:15 a.m. - 12:30 p.m. Association for Women in Mathematics PANEL DISCUSSION: Lipman Bers, a mathematics mentor Jozef Dodziuk Jane P. Gilman Linda Keen (moderator) Irwin Kra Tilla Klotz Milnor Lesley Sibner

12:30 p.m. - 12:55 p.m. AWM- BUSINESS MEETING

1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURES Lecture II: On the arithmetic of curves Barry Mazur 2:00 p.m. - 4:00 p.m. Rocky Mountain Mathematics Consortium BOARD OF DIRECTORS MEETING

2:00 p.m. - 4:00 p.m. MAA - MINICOURSE ill Linear programming Charles E. Haff

2:15 p.m. - 3:15 p.m. The Mathematical Sciences at the National Science Foundation Judith S. Sunley, NSF

4:00 p.m. - 6:00 p.m. B6CHER PRIZE SESSION AND BUSINESS MEETING

6:05 p.m. I AWM- PARTY

7:00 p.m. - 10:00 p.m. Joint Concerns Committee for Mathematics A National Meeting of Department Chairmen

7:30 p.m. - 9:30 p.m. MAA - MINICOURSE !12 Discrete algorithmic mathematics Stephen B. Maurer

FRIDAY, January 27 AMS MAA and Other Organizations

8:00 a.m. - 10:00 a.m. MAA - MINICOURSE !13 Teaching problem solving Alan H. Schoenfeld

8:00 a.m. - 10:00 a.m. MAA - MINICOURSE #7 CONDUIT microcomputer software David A. Smith

8:00a.m. - A:OO p.m. REGISTRATION

8:00 a.m. - 4:00 p.m. AMS BOOK SALE I MAA BOOK SALE

33 1. Commonwealth Convention Center 6. Louisville TraveLodge 2. Galt House 7. Hyatt Regency Louisville 3. Rodeway Inn 8. Seelbach Hotel 4. Howard Johnson's 9. The Louisville Inn 5. Best Western-Midtown

34 TIMETABLE

Mathematical Association of America FRIDAY, January 27 American Mathematical Society and other Organizations 9:00 a.m. - 5:00 p.m. EXHIBITS

9:00a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES

9:00 a.m. - 9:50 a.m. MAA - INVITED ADDRESS Some examples of combinatorial averaging Herbert S. Wilf 9:00 a.m. - 9:50 a.m. MAA - INVITED ADDRESS The computer as a grader Melvin Maron

9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS

10:00 a.m. - 10:50 a.m. I AWM- EMMY NOETHER LECTURE [ Paracompactness Mary Ellen Rudin

10:00 a.m. - 10:50 a.m. MAA - INVITED ADDRESS Mathematics in industry-how do problems arise? Henry 0. Pollak 10:00 a.m. - noon MAA - MINICOURSE #8 NonCONDUIT microcomputer software David A. Smith

11:00 a.m. - 11:50 a.m. MAA- PANEL DISCUSSION Issues in remediation Joan Leitzel (moderato~

11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Computational geometry: Paradigms and applications Frances Yao

11:15 a.m. - 12:30 p.m. NAM- PANEL DISCUSSION: Some approaches for providing computer literacy for students in small colleges and universities Melvis Atkinson Samuel H. Douglas (moderator) Henry L. Hardy John Harris Nelloise Watkins

noon - 12:50 p.m. MAA - BUSINESS MEETING

1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURES Lecture III: On the arithmetic of curves Barry Mazur SPECIAL SESSIONS 1:00 p.m. - 4:20 p.m. Partial Differential Equations and Optimal Control Problems I 1:00 p.m. - 4:20 p.m. Ordered Algebraic Structures II 1:00 p.m. - 5:20 p.m. Semigroup Theory II 1:00 p.m. - 4:50 p.m. Ill-Posed Problems III 1:00 p.m. - 4:20 p.m. Partial Differential Operators IV

1:00 p.m. - 3:00 p.m. MAA - MINICOURSE #5 Problems from industry Jeanne L. Agnew Marvin S. Keener

1:00 p.m. - 3:00 p.m. MAA - MINICOURSE #6 Applications of computer graphics Joan Wyzkoski

35 person can be added to double or twin rooms balanee due; however, if a personal cheek is only; however, not all hotels are willing to do so. used, it must be aeeompanied by credit eard Please make all changes to or cancellations of identification. hotel reservations with the Mathematics Meetings The Louisville Inn {9) Housing Bureau in Providence before January 15, 120 West Broadway 1984. The telephone number in Providence is Louisville, Kentucky 40202 401-272-9500 (extension 239). After that date, Telephone: 502-582-2241 (15 minutes) changes or cancellations should be made with Singles $38 the Louisville Convention and Visitors Bureau by Twin/Twin Double $46 calling 502-584-2144. Triples $52 Best Western-Midtown {5) Quads $58 200 E. Liberty Parlor/Bedroom $85 Louisville, Kentucky 40202 Transportation to the Commonwealth Conven­ Telephone: 502-589-6410 (11 minutes) tion Center will be available upon request at no Singles $25 charge. Twin Double $31 Personal cheeks and major eredit eards will Triples $35 be aeeepted for room deposits and payment of Quads $39 balance due; however, if a personal cheek is Personal cheeks and major eredit cards will used, it must be aeeompanied by eredit eard be accepted for room deposits and payment of identification. balance due; travelers' cheeks will also be accepted Rodeway Inn {3) at time of cheek-out. 101 East Jefferson Street 40202 Galt House {2) Louisville, Kentucky Telephone: 502-585-2200 (8 minutes) On the River at Fourth Louisville, Kentucky 40202 Singles M3 Telephone: 502-589-5200 (4 minutes) Double $49 Singles $40 Twin Doubles $49 Doubles $43 Triples $49 Twin Double $43 Quads $49 Triples $46 Transportation to the Commonwealth Conven­ Quads $48 tion Center will be available upon request at no Parlor Suite $110 charge. Personal cheeks and major eredit cards will Personal eheeks and major eredit eards will be accepted for room deposits and payment of be accepted for room deposits and payment of balance due; however, if a personal cheek will be balance due; however, if a personal cheek or used at time of cheek-out, it must be eleared three travelers' eheek is used at time of cheek-out, it days prior to departure. must be aeeompanied by eredit eard identification. Howard Johnson's {4) Seelbach Hotel {8) 100 East Jefferson Street 500 Fourth Avenue Louisville, Kentucky 40202 Louisville, Kentucky 40202 Telephone: 502-585-3200 ( 4 minutes) Telephone: 502-582-2481 (8 minutes) Singles $48 Singles $38 Doubles $54 Doubles $44 Twin/Twin Doubles $54 Twin Doubles $44 Triples $60 Triples $50 Quads $66 Quads $56 One-bedroom suite $100 Personal cheeks, travelers' cheeks, and major Two-bedroom suite $250 eredit eards will be accepted for room deposits Personal cheeks, American Express and VISA and payment of balanee due. eredit eards will be aeeepted in payment of room Hyatt Regency Louisville {7) deposits; balance due is payable on cheek-out 320 West Jefferson Street in eash, major eredit e&rds or travelers' cheeks. Louisville, Kentucky 40202 Personal cheeks will be aeeepted at cheek-out Telephone: 502-587-3434 (2 minutes) subjeet to prior approval. Singles $50 Louisville TraveLodge {6) Double $59 401 South Second Street Twin/Twin Doubles $59 Louisville, Kentucky 40202 Triples $67 Telephone: 502-583-2841 (10 minutes) Quads $74 Singles $33 Personal cheeks and major eredit cards will Doubles $38 be accepted for room deposits and payment of Twin Doubles $43

36 TIMETABLE

Mathematical Association of America FRIDAY, January 27 American Mathematical Society and Other Organizations SESSIONS FOR CONTRIBUTED PAPERS 1:15 p.m. - 5:10 p.m. Set-Theoretic Topology

1:15 p.m. - 4:40 p.m. Polynomials and Generalizations

1:15 p.m. - 3:40 p.m. Number Theory

1:15 p.m. - 4:40 p.m. Stability, Theory and Mathematical Physics

SPECIAL SESSION 1:30 p.m. - 4:50 p.m. Incompressible Fluid Flow

1:30 p.m. - 2:30 p.m. NA:M - BUSINESS lVIEETING

2:00 p.m. - 4:00 p.m. MAA - MINICOURSE 411 Linear programming Charles E. Haff

2:00 p.m. - 4:00 p.m. MAA - MINICOURSE 414 Applications of discrete mathematics Fred S. Roberts

2:15 p.m. - 3:15 p.m. INVITED ADDRESS Card shuffling and group representations Persi Diaconis SESSION FOR CONTRIBUTED PAPERS 2:15 p.m. - 5:55 p.m. Manifolds

2:15 p.m. - 5:00 p.m. RMMC - SYMPOSIDM The mathematics of large scale simulation Richard Ewing A. Duane Porter (moderator) Thomas Russell

SESSION FOR CONTRIBUTED PAPERS 2:30 p.m. - 5:10 p.m. Algebra

2:30 p.m. - 5:10 p.m. Banach Spaces

3:15 p.m. - 5:55 p.m. Applied Combinatorics and Game Theory

3:30 p.m. - 4:30 p.m. INVITED ADDRESS Group actions on rings and generalized inner automorphisms M. Susan Montgomery SPECIAL SESSION 3:30 p.m. - 5:50 p.m. Vector Field Systems and Control III

4:00p.m. - 5:30p.m. MAA- SECTION OFFICERS MEETING

4:45 p.m. - 6:15 p.m. Committee on Employment & Educational Policy PANEL DISCUSSION: The supply of mathematical science researchers in the 19901 s Lida K. Barrett (moderator) Maureen McKeough James D. Stasheff Gail s. Young, Jr. Wilson M. Zaring

7:00p.m. - 9:00p.m. N0-HOST COCKTAIL PARTY

37 Louisville Meetings SuperPhone Exclusive 800-556-6882 A. DELTA US61R. FLY TO LOUISVILLE WITH DELTA OR USA.m. AND SAVE Delta and USAir, the two major carriers to Louisville, are making special round trip air fares available to the Joint Mathematics Meetings in Louisville, Kentucky, January 23-28, 1984. Delta is offering a 30 percent discount on full round-trip coach fares. This special fare requires departure between January 23 and 27. Reservations and ticketing must be done at least seven days in advance and a maximum stay of 15 days will be permitted. USAir is offering an unrestricted Super Saver fare to any participant purchasing tickets on its airline at least fourteen days in advance. Other fares will, of course, still be available after the fourteen-day limitation. These special offers are available ONLY through the Louisville Meeting SuperPhone Exclusive. Call SuperPhone toll-free today-800-556-6882-and save!!

{In Rhode Island and outside the Continental U.S. call 401-884-9500.) Hours of Operation: 9:00a.m. to 7:00p.m. EST, Monday through Thursday, Fridays until 6:00p.m. Where discounts exceed 30 percent, they will be provided automatically through SuperPhone's FARE CHECK system.

Triples $48 mathematicians who wish to attend sessions are Quads $53 expected to register, and should be prepared to show No personal cheeks will be accepted as payment their meeting badge, if so requested. The fees for for room deposit or balance of room charges; Joint Meetings registration at the meeting (listed however, all major credit cards, money orders, below) are 30 percent more than the preregistration and travelers' cheeks will be honored. fees. The AMS-MAA Joint Meetings Committee al­ ways endeavors to obtain the lowest possible Joint Mathematics Meetings sleeping room rates for participants at annual Member of AMS, MAA $61 meetings. The Committee is also responsible Emeritus Member of AMS, MAA $15 for maintaining a sound fiscal position for these Nonmember $93 meetings, and, until recently, has been able to Student/Unemployed $15 keep the deficits at a reasonable level, while still Employment Register providing the very best meeting facilities available to the participants. Employer $75 As the meetings have grown in scope and Applicant No charge complexity over the years, however, it has been AMS Short Course and necessary to find larger facilities with more Student/Unemployed $10 For this reason, the meetings more session rooms. $30 in Louisville will take place in the Commonwealth All Other Participants Convention Center. Unfortunately, the cost of this One-day Fee (Second Day Only) $15 excellent facility is higher than can be covered by the MAA Minicourses #1 through #8 registration fees, and the Committee has arranged for All Participants $20 each most of the hotels in Louisville to collect an extra $3 per room per night from participants, which will be Registration fees may be paid at the meetings in used to offset the rental cost of the Center. (The rates cash, by personal or travelers' check, or by VrsA or above include this extra charge where applicable.) MASTERCARD credit card. Canadian checks must The Committee hopes that these extra funds will not be marked for payment in U.S. funds. be necessary at future annual meetings, and therefore chose this method over an increase in the registration There is no extra charge for members of the families fees. of registered participants, except that all professional mathematicians who wish to attend sessions must Registration at the Meetings register independently. All full-time students currently working toward a Meeting preregistration and registration fees only degree or diploma qualify for the student registration partially cover expenses of holding meetings. All fees, regardless of income.

38 TIMETABLE

Mathematical Association of America SATURDAY, January 28 American Mathematical Society and Other Organizations 8:00 a.m. - 8:55 a.m. MAA - FILM PROGRAM Challenge in the classroom (a film about the lateR. L. Moore)

8:00 a.m. - 2:00 p.m. AMS BOOK SALE MAA BOOK SALE

8:00a.m. - 4:00p.m. REGISTRATION

9:00 a.m. - 9:50 a.m. MAA - RETffiiNG PRESIDENTIAL ADDRESS Reflections on the mystique of R. L. Moore Richard D. Anderson

9:00a.m. - 11:00 a.m. MAA - MINICOURSE #3 Teaching problem solving Alan H. Schoenfeld

9:00 a.m. - 11:00 a.m. MAA - MINICOURSE #7 CONDUIT microcomputer software David A. Smith

9:00 a.m. - noon EXHIBITS

9:00 a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES

9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS

10:00 a.m. - 10:50 a.m. MAA - INVITED ADDRESS Beta and gamma functions from Euler to Selberg and beyond Richard A. Askey

10:00 a.m. - 10:50 a.m. MAA - Committee on Corporate Members SESSION on Mathematics publishing, copyright, and software Jerry Lyons (moderator) Carol Rischer Robert Sickles

11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Nonexpansive maps Andrew M. Gleason

11:00 a.m. - 12:50 p.m. MAA - PANEL DISCUSSION Beginning integration: Calculus and discrete mathematics in the first two years Martha Siegel (moderator)

11:00 a.m. - 1:00 p.m. MAA - MINICOURSE #8 NonCONDUIT microcomputer software David A. Smith

noon - 12:50 p.m. MAA - INVITED ADDRESS Turning good mathematics into good TV Donald Berman Ross L. Finney

1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURES Lecture IV: On the arithmetic of curves Barry Mazur SPECIAL SESSIONS 1:00 p.m. - 4:20 p.m. Partial Differential Equations and Optimal Control Problems II

1:00 p.m. - 3:50 p.m. Ordered Algebraic Structures III

1:00 p.m. - 4:20 p.m. Semigroup Theory III

39 The unemployed status refers to any person Audio-Visual Assistance currently unemployed, actively seeking employment, A member of the AMS/MAA staff will be available and who is not a student. It is not intended to to advise or consult with speakers on their audio­ include any person who has voluntarily resigned or visual requirements. retired from his or her latest position. Rooms where special sessions and contributed Persons who qualify for emeritus membership in paper sessions will be held will be equipped with an either the Society or the Association may register at overhead projector and screen. Blackboards will not the emeritus member rate. The emeritus status refers be available. to any person who has been a member of the AMS or MAA for twenty years or more, and is retired on Baggage and Coat Cheek account of age from his or her latest position. Inquire at the meetings registration desk. Nonmembers who register at the meetings and Cheek Cashing pay the $93 nonmember registration fee are entitled The meeting cashier will cash personal or travelers' to a discount of the difference between the member checks up to $50, upon presentation of the official registration fee of $61 and the nonmember registration meeting registration badge, provided there is enough fee of $93 as a $32 credit against dues in either the cash· on hand. Canadian checks must be marked for AMS or MAA or both, provided they apply for payment in U.S. funds. membership before February 29, 1984. Nonmember students who register at the meetings Local Information and pay the $15 registration fee are entitled to This section of the desk will be staffed by a discount of the difference between the student members of the Local Arrangements Committee and preregistration fee of $12 and the registration fee of other volunteers from the Louisville mathematical $15 as a $3 credit against dues in either the AMS or community. MAA or both, provided they apply for membership Lost and Found before February 29, 1984. Nonmembers and nonmember students who thus See the meeting cashier. qualify may apply for membership at the meetings, Mail or by mail afterward up to the deadline. All mail and telegrams for persons attending the Dates and Times meetings should be addressed to the participant, Commonwealth AMS Short Course c/o Joint Mathematics Meetings, Avenue, Louisville, Prefunction Room, Regency Ballroom South Convention Center, 221 Fourth Hyatt Regency Louisville Kentucky 40202. Mail and telegrams so addressed may be picked up at the mailbox in the registration January 23 11:00 a.m. to 4:00p.m. Monday, area during the hours the registration desk is open. January 24 8:00 a.m. to 2:00 p.m. Tuesday, U.S. mail not picked up will be forwarded after Joint Mathematics Meetings the meeting to the mailing address given on the [and MAA Minicourses (until filled)] participant's registration record. Main Lobby, Commonwealth Convention Center Tuesday, January 24 4:00 p.m. to 8:00 p.m. Personal Messages Wednesday, January 25 8:00 a.m. to 5:00 p.m. Participants wishing to exchange messages during Thursday, January 26, the meeting should use the mailbox mentioned above. through 8:00 a.m. to 4:00 p.m. Message pads and pencils are provided. It is regret­ Saturday, January 28 ted that such messages left in the box cannot be forwarded to participants after the meeting is over. Registration Desk Services Telephone Messages AMS /MAA Information A telephone message center is located in the Information on the publications and activities of registration area to receive incoming calls for both organizations may be obtained at this section of participants. The center is open from January the registration desk. 25 through 28 only, during the hours that the Assistance, Comments and Complaints Joint Mathematics Meetings registration desk is open. Messages will be taken and the name of any A log for registering participants' comments or individual for whom a message has been received will complaints about the meeting is kept at the Trans­ be posted until the message has been picked up at parencies section of the registration desk. All the message center. The telephone number of the method of participants are encouraged to use this message center is 502-584-4664. helping to improve future meetings. Comments on all phases of the meeting are welcome. If a written reply Transparencies is desired, participants should furnish their name and Speakers wishing to prepare transparencies in address. advance of their talk will find the necessary Participants with problems of an immediate nature materials and copying machines at this section of requiring action at the meeting should see the meeting the registration desk. A member of the staff will manager, who will try to assist them. assist and advise speakers on the best procedures and

40 TIMETABLE

Mathematical Association of America SATURDAY, January 28 American Mathematical Society and Other Organizations 1:00 p.m. - 3:00 p.m. MAA - MINICOURSE 115 Problems from industry Jeanne L. Agnew Marvin S. Keener

1:00 p.m. - 3:00 p.m. MAA - MINICOURSE 116 Applications of computer graphics Joan Wyzkoski

SESSIONS FOR CONTRffiUTED PAPERS 1:15 p.m. - 3:40 p.m. Complexes and Cells

1:15 p.m. - 3:10 p.m. Numerical Methods and Approximation Theory 1:15 p.m. - 2:40 p.m. Banach Algebras I 1:15 p.m. - 2:55 p.m. Differential Equations and Boundary Values II

2:00 p.m. - 4:00 p.m. MAA - MINICOURSE 114 Applications of discrete mathematics Fred S. Roberts

2:15 p.m. - 3:15 p.m. INVITED ADDRESS Intersection homology and its applications Robert D. MacPherson 3:30 p.m. - 5:30 p.m. MAA - Committee on Retraining for Computer Sciences- PANEL DISCUSSION: Progress report on the Clarkson Institute for Retraining in Computer Sciences conducted under the auspices of the Joint ACM/MAA Committee on Retraining for Computer Sciences Donald L. Kreider (moderator)

41 methods for preparation of their material. There is a Social Events modest charge for these materials. The Local Arrangements Committee has arranged Visual Index a no-host cocktail party for Friday, January 27, from An alphabetical list of registered participants, 7:00 to 9:00 p.m., in the Regency Ballroom North at including local addresses, arrival and departure dates, the Hyatt Regency Louisville. is maintained in the registration area. Travel In January, Louisville is on Eastern Standard MISCELLANEOUS INFORMATION Time. There is regular airline service to Standiford Child Care Field by several major airlines. We Sit Better, Inc., offers professional babysitting The airport in Louisville is approximately four in hotel rooms. Day or evening service is available. miles from downtown and the trip takes about ten Their present rate is minimum wage for a minimum minutes. The airport limousine stops at the major of four hours, plus $3 carfare. Please notify them as downtown hotels, and runs every forty-five minutes far in advance as possible. For more information call from 7:00 a.m. until 11:00 p.m. daily. Present cost 502-583-9618. Many of the listed hotels will arrange is $3.75 per person. A taxi from the airport to a for a babysitter if given enough prior notice. downtown hotel costs about $8.50, plus 30 cents for each additional passenger one way. There is bus Local Information service provided by Transit Authority of River City Taxis presently cost $1.90 for the first mile and $1 (TARC) on bus #2 from the airport to downtown, for each additional mile. Each additional person is with the fare varying between 35 cents and 60 cents charged 30 cents extra, as long as they go from the depending on the hour of the day. Most major car same pickup point to the same destination. Fares rental agencies maintain desks at the airport. from the airport to downtown hotels should average Louisville can be reached by car via 1-65 from the $9. The Transit Authority of River City (TARC) North and South, 1-64 from the East and West, and operates buses throughout the area. The fee is 60 1-71 from the Northeast. cents during peak hours (6:30-8:30 a.m. and 3:30- There is no passenger train service into Louisville; 5:30 p.m.) and 35 cents for nonpeak hours. however, Greyhound and Trailways Bus Lines serve A section of Fourth Avenue has been turned into a the Louisville area. Galleria and pedestrian mall. Participants staying in downtown hotels will want to take advantage of the Weather many shops in this area. Louisville is located on the south bank of the Louisville's museums include the J. B. Speed Art Ohio River. The climate, while continental in Museum, the Museum of History and Science, the type, is of a variable nature because of its position Howard Steamboat Museum and the Kentucky Derby in the midlatitudes. The winters are moderately Museum at Churchhill Downs. The performing arts cold with temperatures rarely below 0°F. The mean can be seen at Actors Theatre, Kentucky Center temperature in January is 34°F while the average for the Arts, Macauley Theatre, and the Louisville high temperature in January is 42°F and the average Palace. Information on these and other points low temperature is 26°F. On rare occasions the of visitor interest will be available at the Local winters in Louisville are extreme both in temperature Information section o£ the registration desk. and snowfall. Parking Parking lots within a few blocks of the Common­ wealth Convention Center charge from 35 cents to 75 cents for one hour (50 cents median); twenty-four hour parking ranges from $1 to $3.50 ($3 median). The Hyatt Regency Louisville has its own parking garage at Third Street and River City Mall at a daily charge of $3. This garage is also available for patrons of the Commonwealth Convention Center. Important information on the Employment Reg­ ister immediately follows. The Galt House has a 600-car parking lot which guests can use at no charge, with in and out privileges.

42 Mathematical Sciences Employment Register January Meeting in Louisville The Mathematical Sciences Employment Register, held annually at the Joint Mathematics Meetings in January, provides opportunities for mathematical scientists seeking professional employment to meet employers who have positions to be filled. Job listings (or descriptions) and resumes prepared by employers and applicants are displayed for the participants so that members of each group may determine which members of the other group they would like to have an opportunity to interview. A computer program assigns the appointments, matching requests to the extent possible, using an algorithm which maximizes the number of interviews which can be scheduled subject to constraints determined by the number of time periods available, the numbers of applicants and employers, and the pattern of requests. The report below outlines the operation of the register, indicating some of the procedures involved for the benefit of those not familiar with its operation. The Mathematical Sciences Employment Register is apparently unique among employment services offered by professional organizations in the sciences, engineering and the humanities. The computer programs used are constructed around a matching program, devised by Donald R. Morrison and based on an algorithm described in his paper ''Matching Algorithms" in Journal of Combinatorial Theory, volume 6 {1969), pages 20 to 32; see also ''Matching Algorithms" (abstract) Notices, August 1967, page 630. The number of interviews arranged by the program is significantly greater than the number possible at the employment registers of other organizations in many cases greater by an order of magnitude. ' 1984 Employment Register in Louisville Saturday sessions must be submitted on Friday The Employment Register at the Louis­ before 4:00 p.m. ville meeting will take place in the Common­ On Friday and Saturday mornings at 9 a.m. all wealth Convention Center, Exhibit Space A, on schedules for applicants and employers for the day Thursday, Friday, and Saturday, January 26, 27, (both the morning and afternoon sessions) will be and 28, 1984. A short (optional) orientation available for distribution in the Commonwealth session will be conducted by the AMS-MAA-SIAM Convention Center, Exhibit Space A. Committee on Employment Opportunities at 9:00 The Saturday afternoon session is the annual a.m. on Thursday, January 26. The purpose of the "employers' choice" session. For this session orientation session is to familiarize participants interviews will be scheduled on the basis of with the operation of the Register and with the requests made by employers. Applicants do not various forms involved. Following orientation, submit specific interview requests for this session; participants of the Employment Register can pick but, in order to participate they must indicate up their interview request forms. Computer­ their availability for the session by filing the scheduled interviews will be held on Friday and Interview Request Form for Saturday, indicating Saturday, January 27 and 28. No interviews will that they will attend the afternoon session that be held on Thursday. day. Request Forms for the "employers' ehoiee" Fifteen-minute intervals are allowed for inter­ session must be submitted by 4:00 p.m. on Friday views, including two or three minutes between suc­ in order for the interviews to be scheduled for cessive interviews. The interviews are scheduled in Saturday afternoon. half-day sessions: Friday morning and afternoon, Applicants should be aware of the fact that and Saturday morning and afternoon, amounting interviews arranged by the Employment Register to four half-day sessions for interviews. There are represent only an initial contact with employers, ten time periods (9:30-11:45 a.m.) in which in­ and that hiring decisions are not ordinarily made terviews can be scheduled in the morning sessions during or immediately following such interviews. and fourteen time periods (1:15-5:00 p.m.) in the Applicants are advised to bring a number of eopies afternoon sessions. It is possible that an applicant of their vitae or resumes so that they may leave or employer may be scheduled for the maximum them with prospective employers. number of interviews in a session. The scheduling All participants in the Employment Register program gives priority to your first six requests. are required to register for the Joint Mathematics The remaining requests will be accommodated Meetings. For applicants there is no additional depending on the availability of participants. The fee for participation in the Employment Register. scheduling program does not have a provision The preregistration deadline was Deeember 5, allowing participants to specify particular times 1983. for interviews beyond the choice of session (day, For employers, additional fees for participation and morning or afternoon). Such requests cannot in the Employment Register were $50, if paid be accommodated. before the December 5 deadline for Joint Meetings Requests for interviews to take place during preregistration, or $75 if paid at the meeting. the two sessions on Friday must be submitted Employers who wish to participate in the on Thursday between 9:30 a.m. and 4:00 p.m. Register and who have neither preregistered Requests for interviews to take place during the nor paid the Employment Register fee must go

43 to the Joint Mathematics Meetings registration it also contains a copy of the summary Winter desk in the Main Lobby of the Commonwealth List of Applicants. The resumes themselves will Convention Center in order to complete their be posted at the site of the Register in addition to registration. Registration for the Joint Meetings the resumes of those who register at the meeting. is required to use the Employment Register Additional copies of the December Issue of ElMS facilities. (No provision will be made to and both the summary Winter Lists (of Applicants handle eash transactions at the site of the and of Employers) will be available for sale at Employment Register in the Commonwealth the AMS Book Sale at the meeting, as long as Convention Center, Exhibit Space A.) supplies last. Prices at the meeting are $2 each Employers and applicants who have completed for the summary lists and $3 for the December registration for the Employment Register, and issue. Any copies remaining after the meeting employers and applicants who have preregistered, will be available from the Providence office of the may pick up their MSER material after 9:30 a.m. Society for $3 and $6, respectively. (Attention is on Thursday, January 26, in the Commonwealth called to the fact that the December issue of ElMS Convention Center, Exhibit Space A, where the contains the Winter List of Applicants, but does Employment Register will be held. All who not contain the Winter List of Employers.) wish to have interviews scheduled for Friday or The Winter List of Employers consists of Saturday, must submit their Interview Request summaries of the position listings submitted by Forms on the preceding day by 4:00 p.m. Those the employers who preregistered for the meeting; who fail to do so cannot be included in the it will be distributed without charge to the pool of available participants when the matching applicants participating in the Register. Others program which schedules the interviews is run may purchase the Winter List of Employers at on the computer that night. This applies both the AMS Book Sale at the meeting or from the to preregistered employers and applicants, and to Providence office later, as long as the supply lasts. those registering at the meeting. (See previous paragraph for prices.) These fonns are given to participants at the The Mathematical Sciences Employment meeting. These are not the fonns that are Register is sponsored by the American Mathe­ completed with preregistration. matical Society, the Mathematical Association of The MSER registration fee for employers covers America, and the Society for Industrial and Ap­ the cost of a copy of the December Issue of plied Mathematics; it is operated by members of Employment Information in the Mathematical the AMS staff under the general supervision of the Sciences (ElMS). This publication contains joint AMS-MAA-SIAM Committee on Employment printed copies of the resumes of applicants who Opportunities. preregistered prior to the December 5 deadline;

CONTEMPORARY MATHEMATICS PROCEEDINGS OF THE CONFERENCE ON state-of-the art flavor, the book contains several re· INTEGRATION, TOPOLOGY, AND GEOMETRY search articles devoted to topics as diverse as spectral IN LINEAR SPACES theory (by N. Dunford) and weak and strong com· pactness in spaces of Pettis integrable functions (by edited by William H. Graves J. Brooks and N. Dinculeanu). This book contains survey articles contributed The book gives an overview of the current state by speakers at a conference held at the University of of affairs in the study of measure and integration in North Carolina in Chapel Hill in the spring of 1979 linear spaces and applications thereof. Those who and organized around contributions of the late B. J. will enjoy these papers are workers in functional Pettis to the development of measure and integration analysis with an interest in measure and integration in linear spaces and the role of general linear spaces in linear spaces, especially the many delighted readers in measure-theoretic considerations. Topics covered of Diestel and Uhl's Vector Measures (Amer. Math. include strict in topological measure theory Soc. Mathematical Surveys, Volume 15). (by H. Collins), the Dunford-Pettis property (by J. Diestel), the Radon-Nikodym property (by R. Huff), the Orlicz-Pettis phenomenon (by N. Kalton), appli- Volume 2, x + 269 pages (soft cover) List price $18, institutional member $14, cations of measure and integration in linear spaces individual member $9 (by I. Kluvanek), and the role of the Pettis measur- ISBN 0·8218·5002·4; LC 80·25417 ability theory (by J. J. Uhl, Jr.). In addition to these Publication date: November 1980 survey articles which impart both a historical and a To order, please specify CONM/2 N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

44 Presenters of Papers Numbers following the names indicate the speakers' positions on the program. •Invited one-hour lecturer •Special session speaker

Abramovich, 8., 265 Brown, T. C., 37 * Douglis, A., 219 Harary, F., 502 Abrams, G. D., 16 Brunson, B. W., 276 Dragan, I. C., 497 •Harrell, E. M., II, 322 Adeniran, T. M., 459 Burd, B., 34 •Drazin, M.P., 236 Harrington, A. N., 415 Adomian, G., 293 Burke, D. K., 395 •DuChateau, P., 171 Harris, B., 291 Aftabizadeh, R., 558 Burkinshaw, 0., 482 •Dudziak, J., 49 Hashimi, J., 490 •Agler, J., 160 Burton, T. A., 120 •Eakin, P.M., 186 •Heinicke, A. G., 183 Ahmed, S., 411 •Byleen, K., 235 Edwards, C. C., 93 •Heinzer, W., 4 Aksoy, A. G., 115 Cahlon, B., 542 Elaydi, S., 269 •Helton, J. W., 48 Al-Amiri, H. S., 142 • Cannon, J. R., 380 El-Gebeily, M. A., 136 Henderson, J., 556 •Albrecht, F., 506 Carlson, D. A., 349 Eloe, P. W., 260 •Henriksen, M., 314 •Aldous, D., 311 • Carlsson, G., 156 •Evans, E. G., Jr., 229 Hentzel, I. R., 479 Herron, I. H., 438 •Almeida, J., 375 •Carmona, R., 318 •Evans, L. C., 510 •Herstein, I. N., 299 •Amick, c. J., 447 Carothers, D. C., 80 •Evans, T., 364 Heuvers, K. J., 416 Anastassiou, G. A., 63 Carrington, W., 540 Fan, P., 128 •Heywood, J. G., 220 •Anderson, D. D., 5 Carroll, J. S., 255 Fanney, T. R., 127 Hicks, T. L., 117 •Anderson, D. F., 2 Case, B. A., 203 Farmer, T. A., 475 •Hildebrant, J. A., 526 Anderson, M., 91 Cecil, T. E., 466 •Fedder, R., 185 •Hill, R.N., 388 Andrews, K. T., 488 Chakravarti, R. 8., 21 Feldman, W. A., 110 Hill, T. P., 286 Arino, 0., 263 Challener, D. C., 412 Fenton, W., 345 Hindman, N., 335 Arlinghaus, S. L., 72 Chang, M.-C., 194 Fialkow, L.A., 125 * Hirschorn, R., 507 Arlinghaus, W. C., 493 Chang, M.-H., 283 Filaseta, M., 36 •Hochster, M., 231 Ash, J. M., 489 Chaudhuri, R., 433 •Fisher, J. W., 304 Hofmann, M., 211 •Avramov, L., 233 • Cheer, A. Y., 452 Fisher, R. J., 330 Holmes, C. S., 216 •Axler, S., 157 Cherowitzo, W. E., 75 Flagg, R. C., 256 Hood, R. T., 73 Bagchi, S. N., 275 Childs, G., 273 •Flatto, L., 307 Housman, D. L., 501 •Baird, B. B., 240 • Chipot, M., 515 Fleming, C. G., 197 •Houston, E. G., 6 Bakke, V. L., 348 Choe, Y. H., 86 •Fleming, W. H., 358 Howell, K. B., 436 •Ball, R.N., 363 Christopher, P.R., 344 Fowler, J. C., 33 •Howie, J. M., 522 Ballotti, M. E., 242 * Chung, F. R. K., 308 Fowler, P. A., 340 Huang, K., 432 Baloglou, G., 394 *Clancey, K. F., 163 Fraser, G. A., 90 •Huckaba, J. A., 1 •Baras, J. S., 357 Cochrane, T., 424 •Freeman, M., 11 Huffman, W. C., 30 Barge, M., 532 *Cohen, H., 238 Fricke, G. H., 68 •Hughes, R. J., 321 Barnard, R. W., 139 • Cohen, M., 181 •Friedlander, E. M., 45 •Huneke, C., 230 Bator, E. M., 491 *Cohen, R. L., 324 Frohliger, J. A., 463 Hung, D. C., 431 Baxter, W. E., 26 Colley, S. J., 195 Gagola, S. M., Jr., 210 •Hunt, L. R., 508 Huotari, R., 62 •Beale, J. T., 453 *Collins, C. E., 168 *Gardner, R. B., 12 •Huss, M. E., 365 Bear, H. S., 253 Colvin, M. R., 462 Garity, D. J., 529 Iskander, A. A., 19 Beaver, 0. R., 192 Comer, S. D., 96 Garner, J. B., 150 Iskra, J., 208 Bechtell, H., 212 Comfort, W. W., 332 Garner, L. E., 426 Ismail, M. E. H., 410 Beezer, R. A., 343 •Conrad, P., 519 Garzon, M., 495 Jacobowitz, H., 144 •Belbas, S. A., 513 •Constantin, P., 218 Gauthier, P.M., 414 *Jensen, A., 392 Bell, A. D., 24 *Conway, J. B., 47 Gevirtz, J., 417 *Jensen, R., 511 Bellenot, S. F., 109 *Cooper, J., 167 Gibson, P. M., 32 Johnson, D. L., 469 Bengtson, T., 149 Corduneanu, C., 264 •Gilmer, R., 3 Johnson, G. G., 64 Bentley, H. L., 399 *Costa, D., 184 Gimbel, J. G., 342 •Johnson, J. L., 188 •Benzinger, H. E., 57 *Cowen, C. C., 164 * Glaz, 8., 187 Johnson, K. W., 214 •Bercovici, H., 52 Crabtree, J. C., 279 Golan, J. S., 22 •Johnston, K. G., 378 Berglund, J. F., 333 Cummings, L. J., 471 *Goldstein, J. A., 320 Jones, J., Jr., 539 Bemau, S. J., 481 Currier, R. J., 465 Goldstein, M., 143 •Jones, P.R., 234 Bemfeld, S. R., 268 Curto, R. E., 126 Goodman, A. W., 135 Jung, C., 421 Bestvina, M., 536 Daffer, P. Z., 278 Goodman, N. D., 257 * Jurdjevic, V., 151 Bey!, F. R., 209 •Darnel, M. R., 369 Goodykoontz, J. T., Jr., Kabell, J. A., 494 Blass, P., 196 •Dauns, J., 312 396 •Kalisch, G. K., 55 Blumenthal, R. A., 456 Daverman, R. J., 461 *Gordon, R., 180 Kan, I., 457 •Boardman, J. M., 46 •David, E. E., Jr., 225 Gorkin, P., 552 Kannappan, P., 445 Boerner, V. L., 77 Davis, S. W., 398 Gowda, M. S., 88 Kaskosz, B., 350 •Bogomolny, A., 516 Davitt, R. M., 204 Grabner, G. C., 403 Kass, S. N., 476 •Boothby, W. M., 10 Deanin, A. A., 430 *Graham, R. L., 310 •Kauffman, R. M., 165 Kaufman, W. E., 486 •Bowers, K. L., 223 Debnath, L., 437 • Grasse, K., 505 •Khadr, A. S., 361 Bowers, P. L., 533 Deckhart, R. W., 28 Greechie, R., 89 Khuri, S. M., 23 Bragg, L. R., 245 DeFranza, J., 65 *Green, E. L., 305 Killgrove, R. B., 78 Brand, N., 29 •DeMeyer, F., 182 Gregory, J., 351 Kim, J. B., 500 •Branson, T. P., 56 Deretsky, T., 41 * Groetsch, C. W., 384 Kim, J. H., 470 Bray, W. 0., 124 Deretsky, Z., 38 *Grossman, R., 153 •Kim, J. U., 449 Bremser, P. 8., 428 •Devinatz, A., 53 •Griinbaum, F. A., 382 Kittaneh, F., 129 •Bressan, A., 154 •Diaconis, P., 306 Gubbi, A. V., 393 Kleiner, M., 17 Brewer, D. W., 262 •Diaconis, P., 454 * Gurarie, D., 54 Knoebel, A., 492 •Brewer, J., 189 Dinculeanu, N., 292 Hagan, P. S., 246 •Knowles, I., 166 •Brockett, R. W., 152 •DiPerna, R. J., 222 •Hager, A. W., 315 •Kobayashi, Y., 528 •Brown, D. R., 376 Dombrowski, J. M., 82 Hajja, M., 104 •Koch, R. J., 525 •Brown, R. A., 327 •Donaldson, S. K., 42 Halchin, J. D., 140 Kohlmayr, G. F., 259 •Brown, s. w., 50 Doran, R. 8., 547 Halsey, M.D., 40 Komkov, V., 241

45 * Kon, M. A., 58 Miller, T. L., 132 Rommerskirchen, H., 249 *Thomson, J., 159 *Kopperman, R. D., 372 Milnes, P., 334 Rose, D. A., 400 Tinsley, F. C., 460 Kosmala, W. A., 261 *Mitchell, S. A., 326 Rosen, N. I., 258 Torrance, E., 499 *Krener, A. J., 155 Moak, D. S., 148 Rosenthal, J. W., 103 •Trent, T. T., 158 *Kriete, T. L., III, 161 Mohapatra, R.N., 69 Roy, R., 271 * Tsinakis, C., 367 Krishnan, V. S., 207 • Montgomery, M. S., 503 Ruitenburg, W. B., 20 Tubbs, R., 429 *Kuhn, N.J., 44 Monzingo, M. G., 427 *Rundell, W., 99 Turisco, J. S., 455 Kulshrestha, P. K., 439 Moore, J. C., 554 Russek, A., 281 *Turkington, B., 221 Kiinzi, H.-P. A., 404 Morales, C., 83 Sacks, P., 243 * mrich, B., 221 *Kustin, A. R., 232 Moskowitz, I., 458 *Saito, Y., 391 Vajravelu, K., 297 Lachance, M. A., 61 Mullen, G. L., 105 Saimassi, M., 141 Vakil, N., 397 Ladde, G. S., 251 Munkholm, H. J., 535 Sankappanavar, H. P., 94 Vance, J., 123 *Lair, A. V., 386 Murphy, G., 71 Santanilla, J., 118 *Vasconcelos, W. V., 228 *Lallement, G., 523 Naimpally, S. A., 336 Sarafyan, D., 545 Vaughan, N. H., 107 Lampe, W. A., 97 Nail, V. C., 401 Sastri, C. C. A., 254 * Voas, C. H., 51 Lange, R., 85 * Nashed, M. Z., 98 * Satyanarayana, M., 521 * Vogelius, M., 175 Langenhop, C. E., 121 Nashier, B., 15 •Schein, B. M., 374 Walsh, J. J., 534 *Lantz, D., 7 Neidinger, R., 113 Schmitz, M. B., 418 *Warfield, R. B., Jr., 302 *Lapidus, M. L., 389 Neu, J., 440 Schober, A., 74 Weakly, W. D., 106 La Puma, R., 530 *Neuberger, J. W., 362 Schrag, G., 95 Webber, R. P., 200 *Larson, S., 316 *Newton, R. G., 174 Seddighi, K., 130 Wei, S. W., 467 Latiolais, M.P., 537 * Oehmke, R. H., 377 Serfling, R. J., 295 White, B. S., 287 deLaubenfels, R. J., 131 Okada, S., 193 *Shadwick, W. F., 13 Wiener, J., 266 *Lavine, R., 319 Pandian, M. C., 546 Shah, S. M., 270 Wilder, B. E., 402 *Lawson, J., 371 Parish, A. E., Jr., 441 * Shahshahani, M., 309 Wilkerson, R. W., 248 Leavelle, T., 483 Park, C., 289 Shapiro, J., 25 Williamson, F., 443 Lee, C.-P., 442 Parker, P. E., 198 Sharma, P. L., 337 *van Winter, C., 390 *Lee, D. A., 383 Parks, A. E., 213 Sheung, J., 551 Wolfe, J. E., 137 *Lee, S. J., 385 Passell, N., 191 Shields, P. C., 496 Wood, T. E., 285 Leela, S., 559 *Passman, D. S., 176 * Shinbrot, M., 450 Woods, D., 423 Legg, D., 81 Pathak, R. S., 116 Shiskowski, K., 464 Wright, S., 548 Lehman, R. S., 543 *Payne, L. E., 379 Shortt, R. M., 282 Yang, J. S., 338 Leung, A. W., 252 Peligrad, C., 114 *Showalter, R. E., 381 Yaqub, A., 14 *Levine, H. A., 101 Perlstadt, M., 409 *Shreve, S., 360 Zachariah, T. M., 288 Levy, J., 284 Perry, W. L., 541 Shrikhande, M., 31 Zaidman, S., 555 Lewis, P. W., 111 Peterson, A. C., 557 Sibley, T. Q., 76 Zak, K., 92 *Lewis, R. T., 323 Petzsche, H.-J., 119 Siegrist, K., 290 * Zayed, A. I., 169 Liebler, R. A., 339 *Point, F., 518 Silverman, H., 138 Zemyan, S. M., 67 Lim, T.-C., 485 Potoczny, H. B., 70 •Simon, H. A., 226 Zorn, P.M., 146 Lord, H. L., 405 Powell, T. G., 468 •Simon, L., 224 Love, T. R., 446 *Powell, W. B., 366 Singh, B., 553 Lowenthal, F., 422 Price, T. E., Jr., 544 Singman, D., 145 *Lukes, D. L., 8 Proctor, R. A., 477 Skoug, D., 190 MacDonald, I. D., 217 Protter, P., 277 Sloane, N.J. A., 538 •MacPherson, R. D., 560 *Putcha, M.S., 370 Smith, H. F., 478 *Madden, J. J., 317 *Putnam, C. R., 162 Smith, K., 39 •Madison, B., Jr., 354 Puttaswamy, T. K., 272 Smith, M.A., 487 *Madison, B. L., 373 Quigg, J., 549 *Smith, M. K., 303 *Madych, w. R., 172 Rajagopalan, M., 407 Snader, J. C., 133 •Magill, K. D., Jr., 239 Rajalakshmi, S. G., 267 *Snider, R. L., 178 •Majda, A., 298 Ramamurthi, V. S., 206 Snow, D. R., 35 *Makar-Limanov, L., 177 *Ramm, A. G., 387 Snyder, H. H., 247 Malon, D., 498 Rankin, S. M., III, 250 Sohrab, H. H., 419 Malone, J. J., 215 Rao, N. V., 59 Solian, A., 480 *Mann, B. M., 43 Raphael, M., 134 Soni, K., 60 Martindale, W. S., III, 27 Raykhshteyn, B. Z., 472 *Sontag, E. D., 504 *Martindale, W. S., III, Read, T. T., 244 •Souganidis, P. E., 512 300 •Reeder, J., 451 Srinivasan, V. K., 408 •Martinez, J., 368 *Regev, A., 301 * Stasheff, J., 325 Massey, F. A., 201 Reich, J. I., 294 *Steinberg, S., 313 Mate, A., 122 *Reilly, N. R., 237 *Stepp, J. W., 527 Maxwell, C. N., 79 •Renardy, M., 448 Stevens, T. C., 331 •Mazur, B., 108, 352, 355, Renner, L. E., 205 Stewart, I., 531 509 •Resco, R., 179 Story, D.P., 274 *McAlister, D. B., 524 Reznick, B., 425 Strauss, M. J., 202 McAuley, L. F., 406 Rha!y, C., 87 * Sulem, A., 514 McCartney, P. W., 199 *Rhemtulla, A., 517 •Sunley, J. S., 353 *McCleary, S. H., 520 Richardson, G. D., 296 * Sussmann, H. J., 9 *McCoy, P. A., 170 Riddle, L. H., 112 *Symes, W. W., 100 McDonald, J. N., 147 Riley, J. H., Jr., 550 Szpunar-Lojasievicz, W., *McLaughlin, J. R., 173 •Rishel, R., 359 435 McMahon, E. W., 18 Roach, F. A., 66 Tamari, D., 346 Mendelson, H. B., 84 Robbins, D. A., 484 Tannenbaum,P., 341 Michaelis, W. J., 474 Robertson, J. B., 280 • Tarjan, R. E., 102 Miles, E. P., Jr., 347 •Robin, M., 356 Taylor, M. D., 434 Miller, M., 413 Robinson, C. E., Jr., 473 Taylor, T., 444 Miller, S. S., 420 Rodabaugh, S. E., 329 •Thomason, B., 328

46 Program of the Sessions All aeaaiom will be held in the Commonwealth Convention Center. The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sesaions at this meeting will be found in the January 1984 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Wednesday, January 25, 1984, 8:00a.m. Special Session on Commutative Algebra, I 8:00- 8:20 (1) Some properties of divisorial prime ideals in Prii.fer domains. MARCO FONTANA, University of Rome, Italy, and JAMES A. HUCKABA* and IRA J. P APICK, University of Missouri, Columbia (809-13-270) 8:30- 8:50 (2) Locally factorial integral domains. D. D. ANDERSON, University of Iowa, and DAVID F. ANDERSON*, University of Tennessee, Knoxville (809-13-03) 9:00- 9:20 (3) Finitely generated intermediate rings. RoBERT GILMER*, Florida State University, and WILLIAM HEINZER, Purdue University, West Lafayette (809-13-108) 9:30- 9:50 (4) Algebras for which all proper subalgebras are finitely generated. Preliminary report. ROBERT GILMER, Florida State University, and WILLIAM HEINZER*, Purdue University, West Lafayette (809-13-202) 10:00-10:20 (5) Unique factorization rings with zero divisors. D. D. ANDERSON* and RAJ MARKANDA, University of Iowa (809-13-62) 10:30-10:50 (6) Some finiteness and divisiblity conditions on the proper overrings of an integral domain. D. D. ANDERSON, University oflowa, D. F. ANDERSON and D. E. DOBBS, University of Tennessee, Knoxville, and E. G. HousToN*, University of North Carolina, Charlotte (809-13-235) 11:00-11:20 (7) Examples of N-rings. Preliminary report. WILLIAM HEINZER, Purdue University, West Lafayette, and DAVID LANTZ*, Colgate University and Purdue University, West Lafayette (809-13-201)

Wednesday, January 25, 1984, 8:00a.m. Special Session on Veetor Field Systems and Control, I 8:00- 8:20 (8) Affine feedback controllability of constant coefficient differential equations. DAHLARD L. LUKES, University of Virginia (809-93-89) 8:30- 8:50 (9) Time optimal control in the plane. HECTOR J. SussMANN, Rutgers University, New Brunswick (809-93-116) 9:00- 9:50 Discussion 10:00-10:20 (10) On feedback linearizability of a nonlinear system on R 2. Preliminary report. WILLIAM M. BooTHBY, Washington University (809-93-263) 10:30-10:50 (11) Extension of the Frobenius theorem. MICHAEL FREEMAN, University of Kentucky (809-53-391) 11:00-11:20 (12) First order Lagrangian field theory. Preliminary report. RoBERT B. GARDNER*, University of North Carolina, Chapel Hill, and WILLIAM SHADWICK, University of Waterloo (809-49-64) 11:30-11:50 (13) Cartan's method of equivalence and first order Lagrangian field theories. Preliminary report. WILLIAM F. SHADWICK, University of Waterloo (809-58-52)

Wednesday, January 25, 1984, 8:30a.m. Session on Ring Theory 8:30- 8:40 (14) Periodic rings with commuting nilpotents. HAzAR ABu-KHUZAM, University of Petroleum and Minerals, Saudi Arabia, and ADIL YAQUB*, University of California, Santa Barbara (809-16-22) 8:45- 8:55 (15) Some problems about polynomial rings. Preliminary report. BuDH NASHIER, Pennsylvania State University, Mont Alto (809-13-340) 9:00- 9:10 (16) Infinite matrix types which determine Morita equivalence. Preliminary report. GENE D. ABRAMS, University of Colorado, Colorado Springs (809-16-56) 9:15- 9:25 (17) Separable and weakly separable K-rings. Preliminary report. MARK KLEINER, Syracuse University (809-16-33)

47 9:30- 9:40 (18) Separable eztensions of non-commutative rings. ELIZABETH W. McMAHoN*, Williams College, and ANCEL C. MEWBORN, University of North Carolina, Chapel Hill (809-16-82) 9:45- 9:55 (19) Group and central simple algebras. Preliminary report. AwAD A. lsKANDER, University of Southwestern Louisiana (809-16-260) 10:00-10:10 (20) Construction of primary decompositions of finitely generated ideals in Noetherian rings. Prellininary report. WIM B. RUITENBURG, New Mexico State University, Las Cruces (809-13-418) 10:15-10:25 (21) Maximal maps and projective summands over fully bounded Noetherian rings. Preliminary report. R. S. CHAKRAVARTI, University of Washington (809-16-83) 10:30-10:40 (22) On the endomorphism ring of a module noetherian with respect to a torsion theory. JoNATHAN S. GoLAN, George Mason University (809-16-148) 10:45-10:55 (23) Endomorphism rings of modules and their duals. Preliminary report. SouMAYA M. KHURI, American University of Beirut, Lebanon (809-16-129) 11:00-11:10 (24) Goldie dimension of prime factors of polynomial and skew polynomial rings. ALLEN D. BELL, University of Washington (809-16-347) 11:15-11:25 (25) Twisted polynomial rings satisfying a polynomial identity. RoBERT F. DAMIANO and JAY SHAPIRo*, George Mason University (809-16-147) 11:30-11:40 (26) The eztended centroid in semiprime rings with involution. W. E. BAXTER*, University of Delaware, and W. S. MARTINDALE ill, University of Massachusetts, Amherst (809-16-424) 11:45-11:55 (27) Herstein 's Lie and Jordan theory revisited. W. S. MARTINDALE ill*, University of Massachusetts, Amherst, and C. R. MIERS, University of Victoria (809-16-425)

Wednesday, January 25, 1984, 8:30a.m. Session on Combinatoric& 8:30- 8:40 (28) On the combinatorics of Kostant's partition function. IT. RoBERT W. DECKHART, Miami University, Oxford (809-22-452) 8:45- 8:55 (29) Isomorphic cyclic designs which are not equivalent. NEAL BRAND, North Texas State University (809-05-103) 9:00- 9:10 (30) Constructions of Mendelsohn designs. W. CARY HUFFMAN, Loyola University, Chicago (809-05-324) 9:15- 9:25 (31) On the parameters of a certain exceptional block design. MoHAN SHRIKHANDE, Central Michigan University (809-05-67) 9:30- 9:40 (32) Proof of a conjecture on tournaments. PETER M. GIBSON, University of Alabama, Huntsville (809-05-315) 9:45- 9:55 (33) A short proof of Totten's classification of restricted linear spaces. JoEL C. FowLER, California Institute of Technology (809-05-114) 10:00-10:10 (34) Game determinateness: Finite and local approximations. Preliminary report. BARRY BURD, Drew University (801-03-189) (Abstracts, January 1983, page 6) 10:15-10:25 (35) Some combinatorial formulas by function{al} equations. DoNALD R. SNow, Brigham Young University, Provo (809-05-415) 10:30-10:40 (36) A new method for solving a class of ballot problems. MICHAEL FILASETA, University of Dlinois, Urbana-Champaign (809-05-327) 10:45-10:55 (37) Affine and combinatorial binary m-spaces. T. C. BROWN, Simon Fraser University (809-05-130) 11:00-11:10 (38) Conjecture on the rank modulo p of the incidence matrix for the Desarguesian finite projective plane of order n =pt. ZAKHAR DERETSKY, University of California, Davis (809-05-329) (Introduced by Morris Newman) 11:15-11:25 (39) Symmetric designs with a flag algebra of dimension seven. Preliminary report. KEN SMITH, Colorado State University (809-05-325) 11:30-11:40 (40) Hartmanis matroids. MARK D. HALSEY, Dartmouth College (809-05-227) 1.1:45-11:55 (41) Even order eztendible Abelian groups. TATIANA DERETSKY, University of California, Davis (809-05-328)

Wednesday, January 25, 1984, 9:00 a.m. Invited Address 9:00-10:00 (42) The Yang-Mills equations as a nonlinear Hodge theory. SIMON K. DONALDSON, Institute for Advanced Study, and the Mathematical Institute, Oxford, England (809-58-225)

Wednesday, January 25, 1984, 9:00a.m. Special Session on Homotopy Theory, I 9:00- 9:20 (43) Universal gauge groups. Preliminary report. BENJAMIN M. MANN, Bowdoin College (809-55- 48)

48 9:30- 9:50 (44) Extended powers of spectra and a generalized Kahn-Priddy theorem. NICHOLAS J. KUHN, Princeton University (809-55-170) 10:00-10:20 (45) Recent developments in etale K-theory. Preliminary report. WILLIAM DWYER, University of Notre Dame, and ERIC M. FRIEDLANDER*, Northwestern University (809-18-528) 10:30-10:50 (46) Bases for unstable BP-operations. Preliminary report. J. M. BOARDMAN, Johns Hopkins University, Baltimore (809-55-434)

Wednesday, January 25, 1984, 9:00 a.m. Special Session on Function Theoretic Operator Theory, I 9:00- 9:20 (47) Some results of James P. Williams. JOHN B. CONWAY, Indiana University, Bloomington (809-47-71) 9:30- 9:50 (48) L00 optimization O'Ver spaces of analytic functions. J. WILLIAM HELTON, University of California, San Diego (809-46-214) 10:00-10:20 (49) The minimal normal extension problem for a subnormal operator. JAMES DUDZIAK, Bucknell University (809-47-158) 10:30-10:50 (50) Algebras generated by an essentially normal operator. ScoTT W. BROWN, University of Hawaii, Honolulu (809-47-271) 11:00-11:20 (51) Toeplitz operators in the Bergman space and bounded point evaluations. Preliminary report. CHARLES H. VoAS, Lehigh University (809-47-381) 11:30-11:50 (52) Ultraweakly closed algebras and invariant subspaces. Preliininary report. C. APoSTOL, Arizona State University, H. BERCOVICI*, Massachusetts Institute of Technology, C. FOIAfJ, Indiana University, Bloomington, and C. PEARCY, , Ann Arbor (809-47-99)

Wednesday, January 25, 1984, 9:00a.m.

Special Seaaion on Partial Dift"erential Operators, I 9:00- 9:20 (53) Remarks on the smoothness of limiting resolvents. ALLEN DEVINATZ, Northwestern University (809-35-24) 9:30- 9:50 (54) LP -multipliers of Hermite and Laguerre operators. Preliminary report. DAVID GURARIE, Case Western Reserve University (809-35-307) 10:00-10:20 (55) On the intertwining of certain elliptic operators. GERHARD K. KAuscH, University of California, Irvine (809-35-305) 10:30-10:50 (56) Behavior of differential operators under conformal deformation. THOMAS P. BRANSON, Purdue University, West Lafayette (809-35-492) 11:00-11:20 (57) Infinitesimal generators of groups and semigroups. Preliminary report. HAROLD E. BENZINGER, University of Dlinois, Urbana-Champaign (809-47-140) 11:30-11:50 (58) Resolvents of elliptic boundary value problems. MARK A. KoN, Boston University (809-35-456)

Wednesday, January 25, 1984, 9:15 a.m. Seaaion on Convergence and Approximation Theory 9:15- 9:25 (59) Convergence of a certain type of alternating series. Preliininary report. N. V. RAo, University of Toledo (809-40-374) 9:30- 9:40 (60) On a biorthogonal system of functions. Preliininary report. N. M. TEMME, Mathematisch Centrum, Amsterdam, and K. SoNI*, University of Tennessee, Knoxville (809-41-493) 9:45- 9:55 (61) Bernstein inequalities for incomplete polynomials. Preliminary report. B. S. ELENBOGEN and M.A. LACHANCE*, University of Michigan, Dearborn (809-41-494) 10:00-10:10 (62) Best L1 -approximation of quasi-continuous functions on the unit interval by nondecreasing functions. RICHARD B. DARST and RoBERT HuoTARI*, Colorado State University (809-41-291) 10:15-10:25 (63) On the degree of weak convergence of a sequence of finite measures (p.n)neN to the unit measure 8., 0 (Part 1}. Preliininary report. GEORGE A. ANASTASSIOU, University of Rochester (809-41-186) 10:30-10:40 (64) A nonconvex set. Preliminary report. GORDON G. JOHNSON, Emory University, Atlanta, and University of Houston (809-52-387) 10:45-10:55 (65) Little Norlund means in the Banach algebra fl.. Preliminary report. JAMES DEFRANZA* and DANIEL FLEMING, St. Lawrence University (809-40-373) 11:00-11:10 (66) Continued fraction convergence sets which are bounded by simple closed curves. Preliminary report. F. A. RoACH, University of Texas, San Antonio (809-40-460) 11:15-11:25 (67) On two conjectures concerning the partial sums of the harmonic series. STEPHEN M. ZEMYAN, Pennsylvania State University, Mont Alto (809-40-459) 11:30-11:40 (68) Matrix summability of geometrically dominated series. Preliminary report. G. H. FRICKE*, Wright State University, Dayton, and J. A. FRIDY, Kent State University, Kent (809-40-515)

49 11:45-11:55 (69) Inclusion among some paranormed sequence spaces. R. N. MOHAPATRA, York University (809-40-543)

Wednesday, January 25, 1984, 9:30 a.m. Session on Geometry and Topology 9:30- 9:40 (70) Special classes of -preserving families. Preliminary report. HENRY B. PoTOCZNY, United States Air Force Institute of Technology (809-54-556) 9:45- 9:55 (71) A linearizable metric space. Preliminary report. GRATTAN MURPHY, University of Maine, Orono (809-51-497) 10:00-10:10 (72) Analogue clocks. SANDRA L. ARLINGHAUS, University of Michigan, Ann Arbor (809-51-468) 10:15-10:25 (73) The limacons of Pascal as orthogonal trajectories and as loci. RoDNEY T. HooD, Franklin College (809-50-467) 10:30-10:40 (74) On local lie-admissible algebras. Preliminary report. ANTON ScHOBER, Pennsylvania State University, Erie (809-51-386) 10:45-10:55 (75) On the projectivity of B-ovals. WILLIAM E. CHEROWITZO, University of Colorado, Denver (809-51-289) 11:00-11:10 (76) Sylow-like theorems for equidistance spaces. THOMAS Q. SIBLEY, Beloit College (809-51-248) 11:15-11:25 (77) A class of semifields of order q4 . VICTORIA L. BOERNER, Mankato State University (809-51-249) 11:30-11:40 (78) Local motions. Preliminary report. RAYMOND B. KILLGROVE, University of South· Carolina, Aiken (809-51-175) 11:45-11:55 (79) Essential fixed point classes of symmetric product maps. Preliminary report. CHARLES N. MAxWELL, Southern Dlinois University, Carbondale (809-55-473)

Wednesday, January 25, 1984, 9:45 a.m. Session on Operator Theory (Abstract) 9:45- 9:55 (80) Order continuous Borelliftings. DAVID C. CAROTHERS, Hope College (809-47-81) 10:00-10:10 (81) Limits of operator approximants. DAVID LEGG*, Indiana University-Purdue University, Fort Wayne, and JOSEPH WARD, Texas A&M University, College Station (809-47-112) 10:15-10:25 (82) Tridiagonal matrices and absolute continuity. JOANNE M. DoMBROWSKI, Wright State University, Dayton (809-47-191) 10:30-10:40 (83) Set-valued mappings of accretive type in Banach spaces. CLAUDIO MORALES, University of Alabama, Huntsville (809-47-496) 10:45-10:55 (84) Reductive operators. HowARD B. MENDELSON, Litton Systems, College Park, Maryland (809-47-465) 11:00-11:10 (85) Duality and asymptotic spectral decomposition. RIDGLEY LANGE, Central Michigan University (809-47-295) 11:15-11:25 (86) Holomorphic semigroups on a locally convez space. Preliminary report. YouNG HAN CHOE, Kansas State University (809-47-383) 11:30-11:40 (87) Generalized Cesaro matrices. CRAWFORD RHALY, Millsaps College {809-47-432) 11:45-11:55 (88) A characterization of positive semidefinite operators on a Hilbert space. Preliminary report. M. SEETHARAMA GOWDA, University of Mississippi (809-47-382)

Wednesday, January 25, 1984, 9:45 a.m. Session on Ordered Algebraic Structures 9:45- 9:55 (89) Commutator-finite orthomodular lattices. RICHARD GREECHIE* and LOUIS HERMAN, Kansas State University (809-06-287) 10:00-10:10 (90) The tensor product of distributive lattices which satisfy the descending chain condition. ANDREW M. BELL, University of Dlinois, Urbana-Champaign, MicHAEL R. BROWN, California State University, Hayward, and GRANT A. FRASER*, California State University, Los Angeles (809-06-330) 10:15-10:25 (91) Archimedean equivalence for positively ordered lattice-ordered semigroups. Preliminary report. MARLOW ANDERSON, Colorado College (809-06-482) 10:30-10:40 (92) The idempotent order in Boolean-like rings. J. C. ABBOTT, S. BUTCHER, R. LEE and K. ZAK*, United States Naval Academy (809-06-483) 10:45-10:55 (93) Periodic elements of a totally ordered, regular semigroup. C. C. EDWARDS* and W. G. FREDRICK, Indiana-Purdue University, Fort Wayne (809-06-511) 11:00-11:10 (94) Principal congruences of pseudocomplemented deMorgan algebras. HANAMANTAGOUDA P. SANKAPPANAVAR, State University of New York, New Paltz (809-06-336)

50 11:15-11:25 (95) States on the generalizations of the Greechie lattice. Preliminary report. GERALD ScHRAG, Central Missouri State University (809-06-60) 11:30-11:40 (96) Epimorphisms in discriminator varieties. STEPHEN D. CoMER, The Citadel (809-08-32) 11:45-11:55 (97) Independence and similarity type. Preliminary report. WILLIAM A. LAMPE*, University of Hawaii, Honolulu, and JIRI SICHLER, University of Manitoba (809-08-416)

Wednesday, January 25, 1984, 10:00 a.m. Special Session on lli-Posed Problems, I 10:00-10:20 (98) Newton's method for ill-posed problems. Preliminary report. M. ZuHAIR NASHED, University of Delaware, and University of Petroleum and Minerals, Saudi Arabia (809-65-532) 10:30-10:50 (99) Undetermined coefficients in elliptic and parabolic operators. Preliminary report. WILLIAM RUNDELL, Texas A&M University, College Station (809-35-297) 11:00-11:20 (100) Linearization stability for an inverse problem in several-dimensional wave propagation. WILLIAM W. SYMES, Michigan State University (809-35-533) (Introduced by William L. Perry) 11:30-11:50 (101) Estimates and regularization/or solutions of some ill posed problems. HowARD A. LEVINE*, Iowa State University, and SERGIO VESSELLA, Istituto Analize Gobali e Applicazioni (C.N.R.), Italy (809-35-273)

Wednesday, January 25, 1984, 10:15 a.m. Invited Address 10:15-11:15 (102) Design and analysis of self-adjusting data structures. RoBERT E. TARJAN, Bell Laboratories, Murray Hill (809-68-320)

Wednesday, January 25, 1984, 10:45 a.m. Session on Fields, Rings and Modules 10:45-10:55 (103) Intersections of algebraically closed fields. JOHN W. RosENTHAL, Ithaca College (809-12-292) 11:00-11:10 (104) Negligibility of linear factors of automorphisms. MoWAFFAQ HAJJA, Yarmouk University, Jordan (809-12-224) 11:15-11:25 (105) The structure of a group of permutations over a finite field. GARY L. MULLEN*, Pennsylvania State University, University Park, and HARALD NIEDERREITER, Austrian Academy of Sciences (809-12-339) 11:30-11:40 (106) Modules whose distinct submodvJ.es are not isomorphic. WILLIAM D. WEAKLY, Northern lllinois University (809-13-486) 11:45-11:55 (107) Noetherian integrally closed ideals in a domain. NICK H. VAUGHAN, North Texas State University (809-13-487)

Wednesday, January 25, 1984, 1:00 p.m. Colloquium Lectures: Lecture I 1:00- 2:00 (108) On the arithmetic of curves. I. BARRY MAzuR, Harvard University

Wednesday, January 25, 1984, 1:15 p.m. Session on 1:15- 1:25 (109) Local reflexivity ofnormed spaces, operators and Frechet spaces. STEVEN F. BELLENOT, Florida State University (809-46-172) 1:30- 1:40 (110) Weighted composition operators on Banach lattices. WILLIAM A. FELDMAN*, University of Arkansas, Fayetteville, and JAMES F. PoRTER, University of Mississippi (809-46-378) 1:45- 1:55 (111) Differentiability of convez functions and Rybakov's theorem. RussELL G. BILYEU and PAUL W. LEWis*, North Texas State University (809-46-253) 2:00- 2:10 (112) Dunford-Pettis operators and weak Radon-Nikod1Jm sets. LAWRENCE H. RIDDLE, Emory University, Atlanta (809-46-13) 2:15- 2:25 (113) Characterizations of Tauberian operators and norm-attainment of linear functionals on subspaces. RicHARD NEIDINGER* and HASKELL P. RosENTHAL, University of Texas, Austin (S,09-46-63) 2:30- 2:40 (114) Non-commutative topological dynamics and compact actions on C*-algebras. RoBERT LouGo, University of Rome, Italy, and CosTEL PELIGRAD*, Worcester Polytechnic Institute (809-46-122) (Introduced by J. J. Malone) 2:45- 2:55 (115) Approximation schemes (A), related (A)-compact operators and measure of non-A-compactness. Preliminary report. AsuMAN G. AKsoY, University of Michigan, .Ani!. Arbor (809-46-144)

51 3:00- 3:10 (116) On Hankel transformable spaces and a Cauchy problem. Preliminary report. RAM S. PATHAK, King Saud University, Saudi Arabia (809-46-222) (Introduced by S. A. Warsi) 3:15- 3:25 (117) Random normal structures. TROY L. HicKs, University of Missouri, Rolla (809-46-242) 3:30- 3:40 (118) Coincidence degree and bifurcation relative to conve:z: sets. ROBERT E. GAINES, Colorado State University, and JAIRO SANTANILLA *, University of Iowa (809-46-464) 3:45- 3:55 (119) Boundary values of holomorphic functions, micro-local analysis of singularities, and almost analytic e:z:tension. Preliminary report. HANs-JoACHIM PETZSCHE*, University of Michigan, Ann Arbor, and Universitat Dusseldorf, Federal Republic of Germany, and DIETMAR VoGT, GHS Wuppertal, Federal Republic of Germany (809-46-538) (Introduced by B. A. Taylor) 4:00- 4:10 (120) Periodic solutions of Volterra equations. Preliminary report. T. A. BURTON, Southern illinois University, Carbondale (809-45-65) 4:15- 4:25 (121) Periodic solutions of linear Volterra integra-differential equations. Preliminary report. CARL E. LANGENHOP, Southern illinois University, Carbondale (809-45-102) 4:30- 4:40 (122) Atoms of measures for which a perturbation of the Chebyshev polynomials are orthogonal. Preliminary report. ATTILA MATE:*, Brooklyn College, City University of New York, and PAUL NEVAI and VILMOS TOTIK, Ohio State University, Columbus (809-42-254) 4:45- 4:55 (123) The Hilbert transform for conve:z; curves in Rn. ALEXANDER NAGEL and STEPHEN W AINGER, University of Wisconsin, Madison, JAMES VANCE*, Wright State University, Dayton, and DAVID WEINBERG, Texas Tech University (809-42-461) 5:00- 5:10 (124) Integrability of comple:z: trigonometric series. WILLIAM 0. BRAY*, University of Maine, Orono, and VERA B. STANOJEVIC, University of Missouri, Rolla (809-42-375)

Wednesday, January 25, 1984, 1:15 p.m. Session on Operator Theory (Hard-Core) 1:15- 1:25 (125) Quasisimilarity and closures of similarity orbits. Preliminary report. L. A. FIALKOW, State University of New York, New Paltz (809-47-495) 1:30- 1:40 (126) Hankel operators and uniform algebras. RAUL E. CuRTo*, PAULS. MuHLY, and JINGBO XIA, University oflowa, and TAKAHIKO NAKAZI, Hokkaido University, Japan (809-47-288) 1:45- 1:55 (127) Closure of graphs of differential operators and subjordan operators. THOMAS R. FANNEY, Virginia Polytechnic Institute and State University (809-47-516) 2:00- 2:10 (128) A characterization of the positive part of a pure hyponormal operator. Preliminary report. PENG FAN, Texas Christian University (809-47-117) 2:15- 2:25 (129) On zero-trace commutators. Preliminary report. FUAD KrTTANEH, United Arab Emirates University (809-47-08) 2:30- 2:40 (130) Cowen-Douglas operators are hyper-refte:z:ive. KARIM SEDDIGH!, University of Calgary (809-47- 113) 2:45- 2:55 (131) M-accretive operators with M-dispersive resolvents. RALPH J. DELAUBENFELS, Dartmouth College (809-47-137) 3:00- 3:10 (132) Nonreductive normal operators arising as analytic functions of unitary operators. Preliminary report. T. LEN MILLER, Mississippi State University (809-47-252) 3:15- 3:25 (133) A characterization of strongly decomposable operators on a refte:z:ive Banach space. JoN C. SNADER, University of South Florida, Tampa (809-47-430) 3:30- 3:40 (134) Quasisimilar operators in the commutant of a cyclic subnormal operator. Preliminary report. MARc RAPHAEL, University of Missouri, Rolla (809-47-431)

Wednesday, January 25, 1984, 1:15 p.m. Session on Classes of Complex-Valued Functions 1:15- 1:25 (135) Conve:z: functions of bounded type. A. W. GOODMAN, University of South Florida, Tampa (809-30-11) 1:30- 1:40 (136) Near isometries of HP spaces and the disc algebra. Preliminary report. MOHAMED A. EL-GEBEILY, Oklahoma State University, Stillwater (809-30-35) 1:45- 1:55 (137) Into isometries of the disc algbebra A. Preliminary report. JOHN E. WoLFE* and MOHAMED A. EL-GEBEILY, Oklahoma State University, Stillwater (809-30-36) 2:00- 2:10 (138) Univalent functions having univalent derivatives. Preliminary report. HERB SILVERMAN, College of Charleston (809-30-124) 2:15- 2:25 (139) On zeros of polynomials representing digital filters. RoGER W. BARNARD* and W. T. FoRD, Texas Tech University (809-30-101) 2:30- 2:40 (140) Some analytic properties of random power series. Preliminary report. JUDY D. HALCHIN, The Citadel (809-30-250)

52 2:45- 2:55 (141) Functions of bounded indez in several variables. MoHAMMAD SALMASSI, University of Hartford (809-30-426) (Introduced by M. S. Shah) 3:00- 3:10 (142) On a characterization of the class of starlike univalent functions. Preliminary report. H. S. AL-AMIRI, Bowling Green State University (809-30-489) 3:15- 3:25 (143) Best harmonic L1 approzimation to subharmonic functions. MYRON GoLDSTEIN*, Arizona. State University, and WERNER HAussMANN and KURT JETTER, University of Duisburg, Federal Republic of Germany (809-31-12) 3:30- 3:40 (144) Chains on strictly pseudo-convez boundaries in C2. Preliminary report. HOWARD JACOBOWITZ, Institute for Advanced Study (809-32-356) 3:45- 3:55 (145) Removable singularities for n-harmonic functions and Hardy classes in polydiacs. Preliminary report. DAVID SINGMAN, Pennsylvania. State University, Mont Alto (809-32-388) 4:00- 4:10 (146) Bergman projections of compactly supported functions on circular domains. PAUL M. ZORN, St. Olaf College (809-32-357) 4:15- 4:25 (147) Eztreme elements of the class of normalized holomorphic functions on the bi-diak with positive real part. JOHN N. McDoNALD, Arizona. State University (809-32-240) 4:30- 4:40 (148) Completely monotonic functions of the form s-b(s2 + 1)-a. Preliminary report. DANIEL s. MOAK, Michigan Technological University (809-33-276) 4:45- 4:55 (149) Ezpansions for Bessel functions in Pn. Preliminary report. THOMAS BENGTSON, Miami University, Oxford (809-33-245) 5:00- 5:10 (150) of a renal countercurrent system. Preliminary report. J. B. GARNER, Louisiana. Tech University (809-34-241)

Wednesday, January 25, 1984, 2:05 p.m. Special Session on Vector Field Systems and Control, II 2:05- 2:25 (151) Algebraic criteria for accessibility of polynomial systems. VELIMIR JURDJEVIC, University of Toronto, Canada. (809-93-521) 2:35- 2:55 (152) Some properties of distributions which contain asymptotically stable vector fields. ROGER W. BROCKETT, Harvard University (809-93-542) 3:05- 3:25 (153) The realization of symmetric systems over the circle. RoBERT GROSSMAN*, Princeton University, and CLYDE MARTIN, Texas Tech University (809-93-212) 3:35- 4:35 Discussion 4:45- 5:05 (154) On the Taylor approzimation of control systems. ALBERTO BRESSAN, University of Wisconsin, Madison (809-93-26) (Introduced by Henry Hermes) 5:15- 5:35 (155) Equivalence of nonlinear systems. ARTHUR J. KRENER, University of California., Davis (809-93-412)

Wednesday, January 25, 1984, 2:15p.m. Invited Address 2:15- 3:15 (156) Segal's Burnside ring conjecture. GuNNAR CARLSSON, University of California., San Diego (809-55-480)

Wednesday, January 25, 1984, 2:15p.m. Special Session on Function Theoretic Operator Theory, II 2:15- 2:35 (157) A simple proof of Putnam's theorem for subnormal operators. SHELDON AxLER* and JoEL H. SHAPIRO, Michigan State University (809-47-272) 2:45- 3:05 (158) A characterization of P 2 (~-t) # L2 (~-t). Preliminary report. TAVAN T. TRENT, University of Alabama., Tuscaloosa. (809-47-107)

3:15- 3:35 (159) Algebra homomorphisms of H 00 into L 00 • Preliminary report. BoB OLIN and JIM THOMSON*, Virginia. Polytechnic Institute and State University (809-46-23) 3:45- 4:05 (160) Dilation on an annulus. Preliminary report. JIM AGLER, California. Institute of Technology (809-47-300) (Introduced by Jolin B. Conway) 4:15- 4:35 (161) Nevanlinna-Pick kernels and the functional models for contraction operators. JosEPH A. BALL, Virginia. Polytechnic Institute and State University, and THOMAS L. KRIETE, ill*, University of Virginia. (809-47-380) 4:45- 5:05 (162) An irreducible subnormal operator with infinite multiplicities. Preliminary report. J. B. CONWAY, Indiana. University, Bloomington, and C. R. PuTNAM*, Purdue University, West Lafayette (809-47-72) 5:15- 5:35 (163) A survey of Hilbert space operators with rank one self-commutators. KEVIN F. CLANCEY, University of Georgia. (809-47-15)

53 5:45- 6:05 (164) Composition operators induced by linear fractional transformations. Preliminary report. CARL C. CoWEN, Purdue University, West Lafayette (809-47-213)

Wednesday, January 25, 1984, 2:15p.m. Special Session on Partial Dift'erential Operators, n 2:15- 2:35 (165) Essential self-adjointness criteria for higher order partial differential operators. RoBERT M. KAuFFMAN, University of Alabama, Birmingham (809-35-369) 2:45- 3:05 (166) The extension problem for accretive differential operators. IAN KNOWLES, University of Alabama, Birmingham (809-35-198) 3:15- 3:35 (167) The initial-boundary value problem for M=ell's equations in the exterior of a moving body. JEFFERY CoOPER*, University of Maryland, College Park, and WALTER STRAUSS, Brown University (809-35-135) 3:45- 4:05 (168) Parameter dependence of a 2 X 2 semilinear parabolic system in two space dimensions. Preliminary report. CLYDE E. CoLLINS, Louisiana State University, Baton Rouge (809-35-74) 4:15- 4:35 (169) Asymptotic expansions of singular Sturm-Liouville expansions. Preliminary report. AHMED I. ZAYED, California Polytechnic State University (809-41-428) 4:45- 5:05 (170) Approximation of partial differential operators: A function theoretic approach. Preliminary report. PETER A. McCoY, United States Naval Academy (809-35-237)

Wednesday, January 25, 1984, 2:15 p.m. Special Session on m-Posed Problems, IT 2:15- 2:35 (171) Simultaneous determination of unknown coefficients in a nonlinear parabolic partial differential equation. PAUL DuCHATEAU, Colorado State University (809-35-275) (Introduced by William L. Perry) 2:45- 3:05 (172) Limited angle tomography: inversion and stability. Preliminary report. W. R. MADYCH, Iowa State University (809-45-104) 3:15- 3:35 (173) A solution of an inverse beam problem. JoYCE R. McLAUGHLIN, Rensselaer Polytechnic Institute (809-34-451) 3:45- 4:05 (174) Inverse scattering in one dimension: forward analyticity and the miracle. RoGER G. NEWTON, Indiana University, Bloomington (809-81-69) (Introduced by William L. Perry) 4:15- 4:35 (175) Determining piecewise analytic conductivities by boundary measurements. Preliminary report. R. KoHN, Courant Institute of Mathematical Sciences, New York University, and M. VoGELIUS*, University of Maryland, College Park (809-80-96)

Wednesday, January 25, 1984, 2:15 p.m.

Special Session on Ring Theory, I 2:15- 2:35 (176) Semiprime crossed products and group-graded rings. D. S. PASSMAN* and D. QUINN, University of Wisconsin, Madison (809-16-169) 2:45- 3:05 (177) On automorphisms of Weyl algebra. LEONID MAKAR-LIMANOV, Wayne State University (809-16-17) 3:15- 3:35 (178) Stabilizers of ideals in group rings. D. R. FARKAS and R. L. SNIDER*, Virginia Polytechnic Institute and State University (809-16-239) 3:45- 4:05 (179) Affine domains of finite Gel'fand-Kirillov dimension which are right, but not left, noetherian. RICHARD RESCO, University of Oklahoma (809-16-209) 4:15- 4:35 (180) Group actions on categories. RoBERT GORDON, Temple University, Philadelphia (809-16-549) 4:45- 5:05 (181) Hopf algebra actions. Preliminary report. MIRIAM COHEN* and DAVIDA FISHMAN, Ben Gurian University, Israel (809-16-304) 5:15- 5:35 (182) The Schur group of a commutative ring. FRANK DEMEYER*, Colorado State University, and RICHARD MOLLIN, University of Calgary (809-16-84) 5:45- 6:05 (183) Prime ideals in intermediate normalizing extensions. A. G. HEINICKE, University of Western Ontario (809-16-120)

Wednesday, January 25, 1984, 2:15p.m. Special Session on Commutative Algebra, n 2:15- 2:35 (184) Sequences of linear type. DoUGLAS CosTA, University of Virginia (809-13-195) 2:45- 3:05 (185) F-injectivity and rational singularity. RICHARD FEDDER, University of Missouri, Columbia (809-13-200) (Introduced by Ira Papick) 3:15- 3:35 (186) Simple analytic extensions of commutative rings. Preliminary report. PAUL M. EAKIN, University of Kentucky (809-13-445)

54 3:45- 4:05 (187) Finiteness conditions on coherent domains. SARAH GLAz*, Wesleyan University, and WaLMER V. VASCONCELOS, Rutgers University, New Brunswick (809-13-236) 4:15- 4:35 (188) Cancellation and prime spectra, Preliminary report. JoN L. JOHNSON, Elmhurst College (809-13-78) 4:45- 5:05 (189) Pole assignability in Bezout domains. JAMES BREWER, University of Kansas (809-13-61)

Wednesday, January 25, 1984, 2:30 p.m.

Session on Generali:~ed Integration Theory 2:30- 2:40 (190) Necessary and sufficient conditions for the Fresnel integrability of certain classes of functions. KuN CHANG, Yonsei University, Korea, GERALD JoHNSON and DAVID SKOUG*, University of Nebraska, Lincoln (809-28-226) 2:45- 2:55 (191) Indistinguishable sets. Preliminary report. NICHOLAS PASSELL, University of Wisconsin, Eau Claire (809-28-261) 3:00- 3:10 (192) Stochastic partitions of sub u-fields of a probability measure space. OLGA R. BEAVER, Williams College (809-28-353) 3:15- 3:25 (193) The mean value property for integrals. Preliminary report. SusuMu OKADA, San Diego State University (809-28-352) (Introduced by Bill Hintzman)

Wednesday, January 25, 1984, 2:30p.m. Session on Surfaces and Curves 2:30- 2:40 (194) Unirationality of the moduli space of curoes of genus 11 and 19. MEI-CHu CHANG*, California Institute of Technology, and ZIV RAN, University of Chicago (809-14-344) (Introduced by Mark Crawshaw) 2:45- 2:55 (195) Enumerating stationary multiple-points. SusAN JANE CoLLEY, Oberlin College (809-14-319) 3:00- 3:10 (196) Zariski surfaces. PIOTR BLASS, University of Arkansas, Fayetteville (809-14-537) 3:15- 3:25 (197) Comparing Ext and T. Preliminary report. CHARLES G. FLEMING, The Citadel (809-14-251) 3:30- 3:40 (198) Harmonic analysis of sectional curoature. Preliminary report. PHILLIP E. PARKER, Wichita State University (809-53-517)

Wednesday, January 25, 1984, 2:30 p.m. Session on History, Pedagogy and Topics in Undergraduate Mathematics 2:30- 2:40 (199) Something like convexity. Preliminary report. PHILIP W. McCARTNEY, Northern Kentucky University (809-98-439) (Introduced by James E. Sehnert) 2:45- 2:55 (200) Oblique asymptotes of rational functions. RoBERT P. WEBBER, Longwood College (809-98-179) 3:00- 3:10 (201) Evaluations by students in mathematics courses of the effectiveness of teaching. Preliminary report. JAMES E. PRATHER, FRED A. MAssEY*, JAMES E. GREENE and JosEPH E. STURGEON, Georgia State University (809-98-522) 3:15- 3:25 (202) Computer literacy for educators. DAVID J. LUTZER and MoNTY J. STRAuss*, Texas Tech University (809-98-29) 3:30- 3:40 (203) How can we help graduate students develop teaching competency? B. A. CASE, Florida State University (809-98-277) 3:45- 3:55 (204) The William Marshall Bullitt mathematical collection. RICHARD M. DAVITT, University of Louisville (809-01-321)

Wednesday, January 25, 1984, 2:30 p.m. Session on Algebraic Structures 2:30- 2:40 (205) Classification of semisimple algebraic monoids. Preliminary report. LEX E. RENNER, York University (809-20-168) 2:45- 2:55 (206) A class of non-Moufang Bolloops isomorphic to all their loop isotopes. V. S. RAMAMURTHI* and B. L. SHARMA, University of Ife, Nigeria (809-20-160) 3:00- 3:10 (207) Regular involution groupoids. Preliminary report. V. S. KRISHNAN, Temple University, Philadelphia (809-20-233) 3:15- 3:25 (208) Globals of completely regular semigroups. MATTHEW GOULD and CONSTANTINE TSINAKIS, Vanderbilt University, and JOSEPH ISKRA*, Wesleyan College (809-20-34) 3:30- 3:40 (209) On the representation groups of certain special linear groups. F. RuDOLF BEYL, Portland State University (809-20-229) 3:45- 3:55 (210) Characters vanishing on all but two conjugacy classes. STEPHEN M. GAGOLA, JR., Kent State University, Kent (809-20-279)

55 4:00- 4:10 (211} On a conjugate class of subgroups determined by a formation. Preliminary report. MARK HoFMANN, Saint Lawrence University (809-20-310} 4:15- 4:25 (212} On totally nonsaturated formations. H. BECHTELL, University of New Hampshire (809-20-557} 4:30- 4:40 (213} Nilpotent by supersolvable M-groups. ALAN E. PARKS, Michigan State University (809-20-194} 4:45- 4:55 (214} The embedding of two countable groups as regular subgroups of a permutation group. Preliminary report. KENNETH W. JOHNSON, University of the West Indies, Jamaica (809-20-153} 5:00- 5:10 (215} P-groups with non-abelian automorphism groups and all automorphisms central. J. J. MALONE, Worcester Polytechnic Institute (809-29-149} 5:15- 5:25 (216} Direct products of RHY-groups. CHARLES S. HOLMES, Miami University, Oxford (809-20-527} 5:30- 5:40 (217} More on the (F2)-p-groups. Preliminary report. IAN D. MAcDoNALD*, Reed College, and E. F. RoBERTSON, University of St. Andrews, Scotland (809-20-512}

Wednesday, January 25, 1984, 2:45p.m.

Special Session on Incompressible Fluid Flow, I 2:45- 3:05 (218} Rigorous connections between the mathematical theory of the Navier-Stokes equations and the conventional theory of turbulence. Preliminary report. P. CONSTANTIN*, Courant Institute of Mathematical Sciences, New York University, C. FOIA~j, Indiana University, Blo01nington, and R. TEMAM, Universite de Paris-Sud, France (809-35-368} 3:15- 3:35 (219} A layering method for viscous, incompressible Lp flows occupying R". AVRON DouGLis*, University of Maryland, College Park, and EuGENE B. F ABES, University of Minnesota, Minneapolis (809-35-370} 3:45- 4:05 (220} Approzimation of the nonstationery Navier-Stokes equations: stability of solutions and global error analysis. JOHN G. HEYWOOD*, University of British Columbia, and RoLF RANNACHER, Universitii.t Saarbriicken, Federal Republic of Germany (809-35-554} 4:15- 4:35 (221} Corotating steady vortex flows with N-fold 8'fjmmetry. BRUCE TuRKINGTON, Northwestern University (809-76-298} 4:45- 5:05 (222} Oscillations in solutions to nonlinear partial differential equations. Preliminary report. RoNALD J. DIPERNA, Duke University (809-35-366} 5:15- 5:35 (223} Incompressible fluid flow in packed beds. KENNETH L. BowERS*, Montana State University, and JAMES W. THOMAS, Colorado State University (809-76-80}

Wednesday, January 25, 1984, 3:30p.m. Invited Address 3:30- 4:30 (224} Some recent results in the theory of minimal surfaces. LEON SIMON, Australian National University, Canberra (809-53-217}

Wednesday, January 25, 1984, 4:45 p.m. Mathematics and Government Speaker 4:45- 5:45 (225} Mazimizing the impact of mathematics. EDWARD E. DAVID, JR., Exxon Corporation

Wednesday, January 25, 1984, 8:30 p.m. Josiah Willard Gibbs Lecture 8:30- 9:30 (226} Computer programs that model the process of scientific and mathematical discovery. HERBERT A. SIMON, Carnegie-Mellon University

Thursday, January 26, 1984, 8:30a.m. Special Session on Commutative Algebra, m 8:30- 8:50 (227} Gorenstein ideals of deviation two. CRAIG HuNEKE, Purdue University, West Lafayette, and BERND ULRICH*, Northwestern University (809-13-341} 9:00- 9:20 (228} The divisor class group of Rees algebras. Preliminary report. J. HERZOG, Essen Universitii.t, Federal Republic of Germany, A. SIMIS, Universidade Federal Rural de Pernambuco, Brazil, and W. V. VASCONCELOs*, Rutgers University, New Brunswick (809-13-119} 9:30- 9:50 (229} Generic order ideals. Preliminary report. E. GRAHAM EVANS, JR.* and PHILLIP A. GRIFFITH, University of illinois, Urbana-Champaign (809-13-342} (Introduced by Ira Papick} 10:00-10:20 (230} Ideals and modules of linear type. Preliininary report. CRAIG HUNEKE, Purdue University, West Lafayette (809-13-529} 10:30-10:50 (231} The status of some local and global questions in commutative algebra. Preliminary report. MELVIN HOCHSTER, University of Michigan, Ann Arbor (809-13-488}

56 11:00-11:20 {232) Local minima in the sequence of Betti numbers. Preliminary report. ANDREW R. KusTIN, University of South Carolina, Columbia {809-13-55) 11:30-11:50 {233) The homotopy fibre of a homomorphism of local rings. Preliminary report. LuCHEZAR AvRAMOV, University of Dlinois, Urbana-Champaign {809-13-343) {Introduced by Ira Papick)

Thursday, January 26, 1984, 8:30a.m.

Special Session on Semigroup Theory, I 8:30- 8:50 {234) Residual finiteness and free products of monoids. PETER R. JoNES, Marquette University {809-20-268) 9:00- 9:20 {235) On the Brock-Reilly construction. KARL BYLEEN, Marquette University {809-20-302) 9:30- 9:50 {236) Natural *-representations of inverse semigroups by operators. MICHAEL P. DRAZIN, Purdue University, West Lafayette {809-20-204) 10:00-10:20 {237) Varieties of completely regular semigroups. NoRMAN R. REILLY, Simon Fraser University {809-20-97) 10:30-10:50 {238) Semilattices and idempotent semigroups on trees. HASKELL COHEN, University of Massachusetts, Amherst {809-20-350) 11:00-11:20 {239) Semigroups for which the continuum congruences form finite chains. Preliminary report. K. D. MAGILL, JR., State University of New York, Buffalo {809-20-43) 11:30-11:50 {240) Green's relations on piecewise monotonic functions. Preliminary report. BRIDGET B. BAIRD*, Connecticut College, and KENNETH D. MAGILL, JR., State University of New York, Buffalo (809-20-453)

Thursday, January 26, 1984,8:30 a.m.

Session on Differential Equations and Boundary Values, I 8:30- 8:40 {241) Random walk simulation of solutions to nonlinear differential equations. VADIM KOMKOV, Winthrop College {809-35-40) 8:45- 8:55 {242) A modem version of Kneser's theorem. MICHAEL E. BALLOTTI, Western Washington University {809-35-427) 9:00- 9:10 {243) The number of peaks of nonnegative solutions of semilinear parabolic equations. WEI-MING NI, University of Minnesota, Minneapolis, and PAUL SAcKs*, Iowa State University {809-35-363) 9:15- 9:25 {244) The essential self-adjointness of powers of Schrodinger operators. THOMAS T. READ, Western Washington University {809-35-294) 9:30- 9:40 {245) Transmutations and non-homogeneous differential equations that involve iterated operators. Preliminary report. Lours R. BRAGG, Oakland University {809-35-77) 9:45- 9:55 {246) Target patterns in reaction-diffusion systems. PATRICK S. HAGAN, Exxon Corporate Science Laboratories, Annandale, New Jersey {809-35-540) {Introduced by A. J. Callegari) 10:00-10:10 {247) A new method for Dirichlet's problem on polygonal domains. I. HERBERT H. SNYDER*, Southern illinois University, Carbondale, and RALPH W. WILKERSON, University of Florida (809-35-243) 10:15-10:25 {248) A new method for Dirichlet's problem on polygonal domains. II. RALPH W. WILKERSON*, University of Florida, and HERBERT H. SNYDER, Southern Illinois University, Carbondale {809-35-244) 10:30-10:40 {249) Singular perturbations of wave equations with scalar nonlinearities. Preliminary report. HEINZ RoMMERSKIRCHEN, University of Delaware {809-35-454) {Introduced by Richard J. Weinacht) 10:45-10:55 {250) Ezistence for certain nonlinear abstract differential equations. Preliminary report. SAMUEL M. RANKIN m, West Virginia University {809-35-218) 11:00-11:10 {251) Ezistence of coupled quasi solutions of systems of nonlinear boundary value problems. Preliminary report. G. S. LADDE* and V. LAKSHMIKANTHAM, University of Texas, Arlington, and A. S. VATSALA, Bishop College {809-35-365) 11:15-11:25 {252) Positive solutions for temperature-dependent two-group neutron flu:r; equations: Equilibria and stabilities. Preliminary report. ANTHONY W. LEUNG* and GEN-SHUN CHEN, University of Cincinnati, Cincinnati {809-35-53) 11:30-11:40 {253) Non-negative heat functions. H. S. BEAR, University of Hawaii, Honolulu {809-35-278) 11:45-11:55 {254) An extension of the method of Ousiannikov. C. C. A. SASTRI* and K. A. DuNN, Dalhousie University {809-35-45)

57 Thursday, January 26, 1984, 8:30a.m. Session on Logie and Foundations 8:30- 8:40 (255) Some theorems involving the lattice of recursively enumerable equivalence relations. Preliminary report. JEFFREY S. CARROLL, University of Wisconsin, Madison (809-03-322) 8:45- 8:55 (256) Integrating, classical and intuitionistic type theory. RoBERT C. FLAGG, State University of New York, Buffalo (809-03-323) 9:00- 9:10 (257) Replacement and collection in intuitionistic set theory. NICOLAS D. GooDMAN, State University of New York, Buffalo (809-03-115) 9:15- 9:25 (258) Some new results on arrow and affable ultrafilters. Preliminary report. NED I. RosEN, Boston College (809-04-413) 9:30- 9:40 (259) A (negative) solution of Hilbert's second problem. GERHARD F. KoHLMAYR, Mathmodel Consulting Bureau (809-03-441)

Thursday, January 26, 1984, 8:30 a.m. Session on Dilferential Equations 8:30- 8:40 (260) Families of boundary conditions for nonlinear ordinary differential equations. PAUL W. ELoE*, University of Dayton, and JOHNNY HENDERSON, University of Missouri, Rolla (809-34-187) 8:45- 8:55 (261) Comparison results for functional differential equations with two middle terms. WITOLD A. KOSMALA, University of Tampa (809-34-39) 9:00- 9:10 (262) A differential equations approach to the modal location for a family of bivariate gamma distributions. D. W. BREWER* and J.D. TUBBS, University of Arkansas, Fayetteville, and 0. E. SMITH, NASA-Marshall Space Flight Center (809-34-362) (Introduced by William A. Feldman) 9:15- 9:25 (263) Estimates for periodic solutions of differential equations with infinite delay. Preliminary report. 0. AruNo* and J. HADDOCK, Memphis State University (809-34-490) 9:30- 9:40 (264) Almost periodicity by comparison method. Preliminary report. C. CoRDUNEANU, University of Texas, Arlington (809-34-450) 9:45- 9:55 (265) On the order of an entire solution of an algebraic differential equation. SHLOMO STRELITZ, University, Israel, and SHOSHANA ABRAMOVICH*, Naval Postgraduate School (809-34-448) 10:00-10:10 (266) Advanced differential equations with piecewise constant argument deviations. S. M. SHAH, University of Kentucky, and JosEPH WIENER*, Pan American University (809-34-358) 10:15-10:25 (267) Diagonalisation and stability of multi-time scale, singularly perturbed linear systems. Preliminary report. G. S. LADDE and S. G. RAJALAKSHMI*, University of Texas, Arlington (809-34-359) 10:30-10:40 (268) Hopf bifurcation and stability for time periodic differential equations. S. R. BERNFELD*, University of Texas, Arlington, and LUIGI SALVADORI, Universita di Trento, Italy (809-34-360) 10:45-10:55 (269) On the stability of some nonlinear perturbations of nonlinear systems. Preliminary report. SABER ELAYDI, Case Western Reserve University (809-34-361) 11:00-11:10 (270) Vector-valued entire functions satisfying a differential equation. RANJAN RoY, Beloit College, and S.M. SHAH*, University of Kentucky (809-34-318) 11:15-11:25 (271) Meromorphic solutions of second order differential equations which do not satisfy first order algebraic differential equations. RANJAN RoY*, Beloit College, and S.M. SHAH, University of Kentucky (809-34-317) 11:30-11:40 (272) Asymptotic behavior of solutions of a certain nth order differential equation in the vicinity of an irregular singular point. T. K. PuTTASWAMY, Ball State University (809-34-246) 11:45-11:55 (273) Elementary quadrature solutions for 2nd order linear differential equations. Preliminary report. GARY CHILDS, University of North Alabama (809-34-37) (Introduced by Robert B. Allan)

Thursday, January 26, 1984, 8:30a.m. Session on Stoehastie Processes 8:30- 8:40 (274) A martingale analysis of numerical integration. Preliminary report. DoNALD P. STORY, University of Akron (809-60-314) 8:45- 8:55 (275) On a. s. convergence of classes of multivalued asymptotic martingales. SITADRI N. BAGCHI, Ohio State University, Columbus (809-60-500) 9:00- 9:10 (276) Lattice martingales. II. Preliminary report. BARRY W. BRUNSON, Western Kentucky University (809-60-519) 9:15- 9:25 (277) Volterra equations driven by semimartingales. Preliminary report. PHILIP PROTTER, Purdue University, West Lafayette (809-60-401) 9:30- 9:40 (278) Limit theorems for weighted sums of exchangeable random elements in a Banach space. PETER Z. DAFFER, Vanderbilt University (809-60-400) 9:45- 9:55 (279) First exit times from moving boundaries for stochastic sequences. Preliminary report. JAMES C. CRABTREE, University of illinois, Urbana-Champaign (809-60-475)

58 10:00-10:10 {280) Pair-wise independent stationary stochastic processes. JAMES B. ROBERTSON* and JAMES WoMACK, University of California, Santa Barbara {809-60-31) 10:15-10:25 {281) Expansion of stochastic integrals in terms of Wiener integrals. H. H. Kuo and A. RussEK*, Louisiana State University, Baton Rouge {809-60-285) 10:30-10:40 {282) Combinatorial methods for marginal problems. Preliminary report. R. M. SHORTT, Michigan Technological University {809-60-90) 10:45-10:55 {283) On Razumikhin-type stability conditions for stochastic functional differential equations. Preliminary report. Mou-HsruNG CHANG, University of Alabama, Huntsville {809-60-138) 11:00-11:10 {284) Using renewal sequences to generate stable processes. Preliminary report. JoSHUA LEVY, State University of New York, Albany {809-60-255) 11:15-11:25 {285) A local limit theorem for associated sequences. Preliminary report. T. E. WooD, Louisiana State University, Baton Rouge {809-60-286) 11:30-11:40 {286) Almost sure stability of partial sums of uniformly bounded random variables. THEODORE P. HILL, Georgia Institute of Technology {809-60-551) 11:45-11:55 {287) Caustics induced by stochastic perturbations. BENJAMIN S. WHITE, Exxon Corporate Science Laboratories, Annandale, New Jersey {809-60-539) {Introduced by A. J. Callegari) 12:00-12:10 {288) Almost sure convergence of isoperimetric quotient of a random rectangular parallelepiped in RN as N goes to infinity. Preliminary report. THOMAS M. ZACHARIAH, Claremont Graduate School and Pitzer College {809-60-399) (Introduced by Robert Williamson) 12:15-12:30 {289) Boundaries with negative JUmps for the Brownian motion. CHULL PARK, Miami University, Oxford {809-60-398)

Thursday, January 26, 1984, 8:45a.m. Session on Applied Analysis 8:45- 8:55 {290) Estimation and optimal stopping in debugging models with masking. Preliminary report. KYLE SIEGRIST, University of Alabama, Huntsville {809-62-180) 9:00- 9:10 {291) Stochastic models for common failures of components. BERNARD HARRIS, University of Wisconsin, Madison {809-62-520) 9:15- 9:25 {292) Integral representation of linear operations on spaces of stochastic processes. Preliminary report. NICOLAE DINCULEANU, University of Florida {809-60-403) 9:30- 9:40 {293) Convergent series solution of nonlinear equations. G. AooMIAN, University of Georgia {809-35-553) 9:45- 9:55 {294) On a conjecture by A. Garsia for Bernoulli convolutions. Preliminary report. JAKOB I. REICH, Bernard M. Baruch College, City University of New York {809-60-161) 10:00-10:10 {295) Empirical distribution functions of U-statistic structure. Preliminary report. ROBERT J. SERFLING, Johns Hopkins University, Baltimore {809-60-284) 10:15-10:25 {296) Consistent estimators in nonlinear regression. Preliminary report. B. B. BHATTACHARYYA, North Carolina State University, and G. D. RICHARDSON*, East Carolina University {809-62-207) {Introduced by Joong Ho Kim) 10:30-10:40 {297) Free convection heat transfer at a heated semi-infinite vertical plate. K. VAJRAVELU, East Carolina University {809-80-408)

Thursday, January 26, 1984, 9:00a.m. Invited Address 9:00-10:00 {298) Vorticity and fluid dynamics. ANDREW MAJDA, University of California, Berkeley

Thursday, January 26, 1984, 9:00a.m.

Special Session on Ring Theory, II 9:00- 9:20 {299) A nil-nilpotent type of theorem. I. N. HERSTEIN, University of Chicago {809-16-208) 9:30- 9:50 {300) The central and normal closure of coproducts of rings over a division ring. Preliminary report. W. S. MARTINDALE ill, University of Massachusetts, Amherst {809-16-423) 10:00-10:20 {301) Wreath products and PI algebras. AMITAI REGEV, Pennsylvania State University, University Park {809-99-555) 10:30-10:50 {302) Localization of noncommutative Noetherian rings and its applications to the study of global and Krull dimensions. RoBERT B. WARFIELD, JR., University of Washington {809-16-238) 11:00-11:20 {303) Noncommmutative UFD's are often PID's. M. P. GILCHRIST, University of Leeds, England, and M. K. SMITH*, University of Texas, Austin {809-16-155) 11:30-11:50 {304) Invariants of finite cyclic groups acting on generic matrices. Preliminary report. JoE W. FISHER*, University of Cincinnati, and M. SUSAN MONTGOMERY, University of Southern California {809-16-210)

59 12:00-12:20 (305) Graded rings and coverings. EDWARD L. GREEN, Virginia Polytechnic Institute and State University (809-16-121)

Thursday, January 26, 1984, 9:00a.m. Special Session on Random Walks on Finite Groups 9:00- 9:20 (306) Introduction to random walks on finite groups. PERSI DIACONIS, Stanford University (809-20-50) 9:30- 9:50 (307) Random shujftes and group representations. LEOPOLD FLATTO* and ANDREW M. 0DLYZKO, Bell Laboratories, Murray Hill, and D. B. WALES, California Institute of Technology (809-60-86) 10:00-10:20 (308) Analysis of a class of re-randomized random number generators. FAN R. K. CHUNG* and R. L. GRAHAM, Bell Laboratories, Murray Hill, and PERSI DIACONIS, Stanford University (809-05-98) 10:30-10:50 (309) Factoring probabilities on compact groups. M. SHAHSHAHANI, Boeing Aerospace, Seattle, Washington (809-22-58) 11:00-11:20 (310) Radon transforms on finite abelian groups. Preliminary report. PERSI DIACONIS, Stanford University, and R. L. GRAHAM*, Bell Laboratories, Murray Hill (809-20-157) 11:30-11:50 (311) Probability methods for random walks on finite groups. DAVID ALDous, University of California, Berkeley (809-60-47)

Thursday, January 26, 1984, 9:00a.m.

Special Session on Ordered Algebraic Structures, I 9:00- 9:20 (312) Valuations on ordered rings. Preliminary report. JOHN DAuNs, Tulane University (809-06-109) 9:30- 9:50 (313) On the unitability of a class of partially ordered rings that have squares positive. STUART STEINBERG, University of Toledo (809-06-87) 10:00-10:20 (314) Ordered products of topological groups. MELVIN HENRIKSEN*, Harvey Mudd College, RALPH KoPPERMAN, City College, City University of New York, and FRANK SMITH, Kent State University, Kent (809-06-335) 10:30-10:50 (315) Functorial hulls of lattice-ordered groups. ANTHONY W. HAGER, Wesleyan University (890-06- 256) 11:00-11:20 (316) Convexity conditions and intersections of primary ideals inf-rings. Preliminary report. SuzANNE LARSON, Marquette University (809-06-303) 11:30-11:50 (317) On !-modules over commutative !-rings. Preliminary report. JAMES J. MADDEN, University of Kansas (809-06-331)

Thursday, January 26, 1984, 9:00a.m.

Special Session on Partial Dift'erential Operaton, ill 9:00- 9:20 (318) Schrodinger operators of the Bernoulli type. Preliininary report. RENE CARMONA, University of California, Irvine (809-47-541) 9:30- 9:50 (319) Resolvent estimates for the Laplacian outside a resonator. RICHARD LAVINE, University of Rochester (809-35-27 4) 10:00-10:20 (320) The RAGE theorem for contraction semigroups. Preliminary report. JEROME A. GoLDSTEIN, Tulane University (809-81-105) 10:30-10:50 (321) A product formula for certain quadratic form perturbations. RHONDA J. HUGHES, Bryn Mawr College (809-47-306) 11:00-11:20 (322) Maximal eigenvalues for Schrodinger and related operators. EVANS M. HARRELL IT, Georgia Institute of Technology (809-47-171) 11:30-11:50 (323) Bound states of Schrodinger-type operators. Preliminary report. RoGER T. LEWIS, University of Alabama, Birmingham (809-35-371)

Thursday, January 26, 1984, 9:30a.m.

Special Session on Homotopy Theory, IT 9:30- 9:50 (324) The stable homotopy of generalized Morse functions. Preliminary report. RALPH L. CoHEN, Princeton University (809-55-552) 10:00-10:20 (325) Deformation theory and local homological algebra. Preliminary report. JAMES STASHEFF, University of North Carolina, Chapel Hill (809-18-530) 10:30-10:50 (326) Stable splitting of B(Z/2)3. STEPHEN A. MITCHELL, Princeton University (809-55-546) 11:00-11:20 (327) Generalized group presentations and formal deformations of CW complexes. Preliminary report. RICHARD A. BROWN, Carleton College (809-57-88)

60 11:30-11:50 (328) K-theory of strict hensel rings and BGL (C discrete ) vs. BU. HENRI GILLET, University of Pennsylvania, and BoB THOMASON*, Johns Hopkins University (809-55-93)

Thursday, January 26, 1984, 9:30 a.m. Session on Topologised Algebraic Structures 9:30- 9:40 (329) A theory of fuzzy uniformities with applications to the fuzzy real lines. Preliminary report. S. E. RoDABAUGH, Youngstown State University (809-54-176) 9:45- 9:55 (330) On the Picard group of a compact complez nil-manifold. II. RoBERT J. FISHER, University of Oklahoma (809-22-190) 10:00-10:10 (331) Weakening the topology of a disconnected Lie group. T. CHRISTINE STEVENS, Arkansas State University (809-22-308) 10:15-10:25 (332) Pseudocompact subgroups and eztensions. W. W. COMFORT* and LEWIS C. ROBERTSON, Wesleyan University (809-22-422) 10:30-10:40 (333) The lattice of semigroup compactifications. JOHN F. BERGLUND, Vuginia Commonwealth University (809-22-76) 10:45-10:55 (334) Semigroup compactifications of products of semigroups. PAUL MILNES, Virginia Commonwealth University (809-22-75) 11:00-11:10 (335) The ideal structure of the space of ,;,-uniform ultrafilters on a discrete semigroup. NEIL HINDMAN, Howard University (809-54-181) 11:15-11:25 (336) Continuity of the group operation. S. A. NAIMPALLY, Lakehead University (809-54-163) 11:30-11:40 (337) Isomorphic groups and homeomorphic spaces. Preliminary report. PREM L. SHARMA, Butler University (809-54-394) 11:45-11:55 (338) Pro-Lie groups. RoBERT W. BAGLEY, University of Miami, T. S. Wu, Case Western Reserve University, and J. S. YANG*, University of South Carolina, Columbia (809-22-106)

Thursday, January 26, 1984, 9:50a.m. Session on Graph Theory 9:50-10:00 (339) Combinatorial representation theory and graphs. Preliminary report. RoBERT A. LIEBLER, Colorado State University (809-05-442) 10:05-10:15 (340) A new proof of ezistence of an Euler tour in a connected graph with even degree vertices. PETER A. FowLER, California State University, Hayward (809-05-326) 10:20-10:30 (341) Shortest Hamiltonian walks on finite permutation groups. PETER TANNENBAUM, California State University, Fresno (809-05-100) 10:35-10:45 (342) Switching sequences of graphs. Preliminary report. JOHN G. GIMBEL, Colby College (809-05- 443) 10:50-11:00 (343) Orbit polynomial graphs. Preliminary report. RoBERT A. BEEZER, University of lllinois, Urbana (809-05-166) 11:05-11:15 (344) Three eueptional graphs with a transitive automorphism group. PETER R. CHRISTOPHER, Worcester Polytechnic Institute (809-05-414) 11:20-11:30 (345) An application of directed circuits to series-parallel graphs. Preliminary report. WILLIAM FENTON, Bellarmine College (809-05-481) 11:35-11:45 (346) Open problems in combinatorial semigroup and associativity theory equivalent or related to the Four-Color-Map problem. Preliminary report. Dov TAMARI, New York, New York (809-20-150) 11:50-12:00 (347) Sequences of nested, self dual, discrete, harmonic, cubic sets of additive and subtractive colors which converge to the color continuum and their use in color separations for printing computer generated color patterns. E. P. MILES, JR., Florida State University (809-00-440)

Thursday, January 26, 1984, 11:00 a.m. Session on Control Theory 11:00-11:10 (348) Boundary arcs for functional differential equations. V. L. BAKKE, University of Arkansas, Fayetteville (809-49-384) (Introduced by William A. Feldman) 11:15-11:25 (349) The uniform approzimation ofrelazed trajectories by ordinary trajectories for control systems defined on an unbounded interval. DEAN A. CARLSON, University of Missouri, Rolla (809-49-247) 11:30-11:40 (350) The hamiltonian along optimal solutions of differential inclusions. Preliminary report. BARBARA KASKOSZ* and EMILIO ROXIN, University of Rhode Island (809-49-316) 11:45-11:55 (351) New methods for quadratic optimal control problems without multipliers. Preliminary report. RoHAN DALPATADU and JOHN GREGORY*, Southern Dlinois University, Carbondale (809-49-385) (Introduced by Ronald Kirk)

61 Thursday, January 26, 1984, 1:00 p.m. Colloquium Leetures: Lecture ll 1:00- 2:00 (352) On the arithmetic of curves. II. BARRY MAzuR, Harvard University

Thursday, January 26, 1984, 2:15 p.m. Report from the National Science Foundation 2:15- 3:15 (353) The mathematical sciences at the National Science Foundation. JUDITH S. SuNLEY, National Science Foundation

Thursday, January 26, 1984, 4:00p.m. Boeher Prime Session and Business Meeting

Thursday, January 26, 1984, 7:00-10:00 p.m. Joint Concerns Committee for Mathematics 7:00-10:00 (354) National meeting of department chairmen. BERNARD MADISON, JR., Moderator, University of Arkansas

Friday, January 27, 1984, 1:00 p.m. Colloquium Lectures: Lecture m 1:00- 2:00 (355) On the arithmetic of curves. m. BARRY MAzuR, Harvard University

Friday, January 27, 1984, 1:00 p.m. Special Session on Partial Differential Equations and Optimal Control Problems, I 1:00- 1:20 (356) s,ngular stochastic control and variational inequalities. Jos:E-Lurs MENALDI, Wayne State University, and MAURICE RoBIN*, Institut National de Recherche en lnformatique et en Automatique, Le Chesnay, France (809-49-111) 1:30- 1:50 (357) Optimal sensor scheduling in nonlinear filtering of diffusion processes. Preliminary report. JoHN S. BARAs*, University of Maryland, College Park, and ALAIN BENSOUSSAN, University of Paris IX, France (809-60-402) 2:00- 2:20 (358) Logarithmic transformations and optimal stochastic control. WENDELL H. FLEMING, Brown University (809-35-143) 2:30- 2:50 (359) An exact optimum control for an adaptive control problem. RAYMOND RISHEL, University of Kentucky (809-49-466) (Introduced by Suzanne Lenhart) 3:00- 3:20 (360) Explicit solution of the Hamilton-Jacobi-Bellman equation associated with a consumption/investment problem. I. KARATZAS, Columbia University, J. LEHOCZKY, Carnegie-Mellon University, S. SETHI, University of Toronto, and S. SHREVE*, Carnegie-Mellon University (809-90-215) (Introduced by Suzanne M. Lenhart) 3:30- 3:50 (361) Analysis of a class of variable structure stochastic differential equations. Preliminary report. AMR S. KHADR* and KENNETH A. LOPARO, Case Institute of Technology (809-93-131) 4:00- 4:20 (362) Steepest descent modified by controls. J. W. NEUBERGER, North Texas State University (809-49-57)

Friday, January 27, 1984, 1:00 p.m. Special Session on Ordered Algebraic Structures, II 1:00- 1:20 (363) The paraprojectable hull of a lattice ordered group. Preliininary report. RICHARD N. BALL, Wesleyan University (809-06-257) 1:30- 1:50 (364) Ordered loops and quasigroups-A survey. TREVOR EvANS, Emory University, Atlanta (809-06-333) 2:00- 2:20 (365) Lexicographic extensions of lattice ordered groups. MARY E. Huss, Simon Fraser University (809-06-156) 2:30- 2:50 (366) The failure of the amalgamation property in varieties of representable £-groups. WAYNE B. POWELL*, Oklahoma State University, and CONSTANTINE TSINAKIS, Vanderbilt University (809-06-258) 3:00- 3:20 (367) Covers of the variety of abelian £-groups. Preliminary report. WAYNE B. PowELL, Oklahoma State University, and CONSTANTINE TSINAKIS*, Vanderbilt University (809-06-259) 3:30- 3:50 (368) d-Groups. Preliininary report. JoRGE MARTINEZ, University of Florida (809-06-548) 4:00- 4:20 (369) Epicomplete completely-distributive lattice-ordered groups. Preliininary report. MicHAEL R. DARNEL, University of Wisconsin, Eau Claire (809-06-334)

62 Friday, January 27, 1984, 1:00 p.m.

Special Session on Semigroup Theory, II 1:00- 1:20 (370) Embedding into an Jl-c!ass. MOHAN S. PUTCHA, North Carolina State University (809-20-16) 1:30- 1:50 (371) Separate and joint continuity for semigroup actions. JIMMIE LAWSON, Louisiana State University, Baton Rouge (809-22-206) 2:00- 2:20 (372) Action compatible orders. Preliminary report. R. D. KoPPERMAN*, City College, City University of New York, and F. A. SMITH, Kent State University (809-06-126) 2:30- 2:50 (373) Relations on the lattice of congruences on a regular semigroup. Preliininary report. RoBERT J. KocH, Louisiana State University, Baton Rouge, and BERNARD L. MADISON*, University of Arkansas, Fayetteville (809-20-421) 3:00- 3:20 (374) Regular semigroups with isomorphic global semigroups. Preliininary report. Boros M. ScHEIN, University of Arkansas, Fayetteville (809-20-351) 3:30- 3:50 (375) Some order properties of the lattice of varieties of commutative semigroups. JoRGE ALMEIDA, Simon Fraser University (809-20-46) 4:00- 4:20 (376) Idempotent semigroups constructed from compact uniquely divisible semigroups. Prellininary report. D. R. BROWN* and J. W. STEPP, University of Houston, Houston (809-22-265) 4:30- 4:50 (377) Semigroups of quotients and minimal right congruences. ROBERT H. OEHMKE, University of Iowa (809-20-264) 5:00- 5:20 (378) The lattice of full regular subsemigroups of a regular semigroup. K. G. JoHNSTON*, Emory University, Atlanta, and P.R. JONES, Marquette University (809-20-134)

Friday, January 27, 1984, 1:00 p.m.

Special Session on ID-Posed Problema, m 1:00- 1:20 (379) Continuous dependence on geometry for the backward heat equation. PHILIP S. CROOKE, Vanderbilt University, and LAWRENCE E. PAYNE*, (809-35-531) 1:30- 1:50 (380) Determination of an unlmown heat source from overspecified data. JoHN R. CANNON, Washington State University (809-35-127) 2:00- 2:20 (381) The parametric oscillator equation. Preliminary report. R. E. SHOWALTER, University of Texas, Austin (809-35-118) 2:30- 2:50 (382) Laplace transform inversion: one more example of commuting operators. F. ALBERTO GRUNBAUM, University of California, Berkeley (809-44-509) 3:00- 3:20 (383) Comparison of regularizors. Preliminary report. D. A. LEE, United States Air Force Institute of Technology (809-47-94) (Introduced by William L. Perry) 3:30- 3:50 (384) Regularized finite element methods for Fredholm equations of the first kind. C. W. GROETSCH* and J. GuACANEME, University of Cincinnati, Cincinnati (809-65-06) 4:00- 4:20 (385) Tikhonov's method of regularization for unbounded linear operator. Prellininary report. SuNG J. LEE*, University of South Florida, Tampa, and M. ZUHAIR NASHED, University of Delaware (809-47-09) 4:30- 4:50 (386) Uniqueness of solutions of inequalities involving a backward parabolic operator. Preliminary report. ALAN V. LAIR, United States Air Force Institute of Technology (809-35-79)

Friday, January 27, 1984, 1:00 p.m.

SpeclBl Session on Partial Dift'erential Operators, N 1:00- 1:20 (387) Exponential dichotomy of solutions of abstract Schroedinger equation and applications. P. A. MISHNAEVSKn, Moscow, U.S.S.R., and A. G. RAMM*, Kansas State University (809-47-02) 1:30- 1:50 (388) Analytic structure and rates of convergence for variational methods in atomic and molecular physics. ROBERT NYDEN HILL* and JOHN D. MORGAN, m, University of Delaware (809-81-196) 2:00- 2:20 (389) Perturbation theory and a general dominated convergence theorem for Feynman integrals. MICHEL L. LAPIDUS, University of Southern California (809-47-59) 2:30- 2:50 (390) Dilation-analytic scattering operators for three particles. Preliminary report. CLASINE VAN WINTER, University of Kentucky (809-81-73) 3:00- 3:20 (391) An asymptotic behavior of S-matrix and the inverse scattering problem. Preliminary report. YOSHIMI SAITO, University of Alabama, Biriningham (809-35-458) (Introduced by Ian W. Knowles) 3:30- 3:50 (392) Commutators and propagation properties of Schrodinger operators. Preliminary report. ARNE JENSEN, University of Kentucky (809-35-159) 4:00- 4:20 Problem Session

63 Friday, January 27, 1984, 1:15 p.m. Session on Set.theoretic Topology 1:15- 1:25 (393) On projecti'!Je spaces in topology. Preliminary report. ANANDA V. GUBBI, University of Mississippi and Memphis State University (809-54-472) 1:30- 1:40 (394) Product theorems for compact-co'!Jering numbers. Preliminary report. GEORGE BALOGLOU, Wesleyan University (809-54-192) 1:45- 1:55 (395) PMEA and the first countable countably paracompact spaces. Preliminary report. DENNIS K. BURKE, Miami University, Oxford (809-54-392) 2:00- 2:10 (396) A non-locally connected continuum X Stich that C{X} is a retract of2x. JACK T. GooDYKOONTZ, JR., West Virginia University (809-54-395) (Introduced by Donald F. Reynolds) 2:15- 2:25 (397) Topological characterization of Wattenberg infinitesimals. NADER VAKIL, University of Washington (809-54-128) 2:30- 2:40 (398) Weakly Cauchy symmetries. Preliminary report. S. W. DAVIS, Miami University, Oxford (809-54-524) 2:45- 2:55 (399) Completely regular eztensions of topological spaces. Preliminary report. H. L. BENTLEY*, University of Toledo, and R. G. Om, University of Durban-Westville, Republic of South Africa (809-54-393) (Introduced by R. V. Nagisetty) 3:00- 3:10 (400) Weak continuity and strongly closed sets. DAVID A RosE, Francis Marion College (809-54-471) 3:15- 3:25 (401) Weak confluence and W-sets. VAN C. NALL, University of the South (809-54-199) (Introduced by Sherwood F. Ebey) 3:30- 3:40 (402) A mean on an in'!Jerse limit space which is not an in'!Jerse limit mean. B. E. WILDER, Berry College (809-54-152) (Introduced by Ben Fitzpatrick, Jr.) 3:45- 3:55 (403) Noether spaces. Preliminary report. GARY C. GRABNER, Pennsylvania State University, Sharon (809-54-309) 4:00- 4:10 (404) Eztension properties related to the Pervin quasi-prozimity class. HANs-PETER A KuNzi* and PETER FLETCHER, Virginia Polytechnic mstitute and State University (809-54-01) 4:15- 4:25 (405) Closure operators and diagonals. Preliminary report. HARRIET LAZOWICK LORD, California Polytechnic State University (809-54-188) 4:30- 4:40 (406) Sections and selections. DAVID F .. Anms, Texas Christian University, and LoUis F. McAULEY*, State University of New York, Binghamton (809-54-479) 4:45- 4:55 (407) Countable metric spaces. Preliminary report. M. RAJAGOPALAN*, University of Toledo, and V. KANNAN, University of Hyderabad, India (809-54-498) 5:00- 5:10 (408) Reflezi'!Je algebras and sigma-algebras. Preliminary report. TEODOR PRZYMUSINSKI and V. K. SRINIVASAN*, University of Texas, El Paso (809-28-136)

Friday, January 27, 1984, 1:15 p.m. Session on Polynomials and Generali•ations 1:15- 1:25 (409) Polynomials and uncertainty. Preliminary report. MARCI PERLSTADT, Drexel University (809-33-550) 1:30- 1:40 (410) The attracti'!Je Coulomb potential polynomials. EDWARD BANK and MouRAD E. H. IsMAIL*, Arizona State University (809-33-10) 1:45- 1:55 (411) Inequalities for the zeros of ultraspherical polynomials. SHAFIQUE ARMED, University of Southern Mississippi (809-33-174) 2:00- 2:10 (412) Riesz typical means con'!Jergence of series arising from the biharmonic equation for the semi-infinite strip. Preliminary report. DAVID C. CHALLENER, University of illinois, Urbana-Champaign (809-35-364) 2:15- 2:25 (413) On Rieff's conjecture: the conjecture of Goodman-Rahman-Ratti and Schmeisser is false. Preliminary report. MicHAEL MILLER, University of Rochester (809-30-311) 2:30- 2:40 (414) Uniform harmonic approzimation on unbounded sets. Preliminary report. P. M. GAUTHIER*, Universite de Montreal, and W. HENGARTNER, Universite Laval (809-31-547) 2:45- 2:55 (415) Condensed Julia sets. M. F. BARNSLEY and J. S. GERONIMO, Georgia Institute of Technology, and A. N. HARRINGTON*, Loyola University of Chicago (809-33-355) 3:00- 3:10 (416) A family of symmetric biadditi'!Je nonbilinear functions. KoNRAD J. HEUVERS, Michigan Technological University (809-39-372) 3:15- 3:25 (417) Local eztrema for uni'!Jalence criteria. JULIAN GEVIRTz, Universidad Cat6lica de Chile (809-30-178) 3:30- 3:40 (418) An SB null set of u-finite linear meaStlre is an AD null set. MICHAEL B. SCHMITZ, Eastern Dlinois University (809-30-38) 3:45- 3:55 (419) Essential spectra of certain pseudodifferential C*-algebras on Rn. HousHANG H. SoHRAB, University of Kansas (809-35-514)

64 4:00- 4:10 (420) Subordination-preseroing integral operators. SANFORD S. MILLER*, State University of New York, Brockport, PETRU MocANU, Babes-Bolyai University, Romania, and MAxwELL 0. READE, University of Michigan, Ann Arbor (809-30-447) 4:15- 4:25 (421) Another case in Hummel's result on Aharonov pairs. Preliminary report. CHRISTINE JUNG, Pennsylvania State University, Erie (809-30-354) 4:30- 4:40 (422) On a lower bound for electrostatic capacitance. FRANKLIN LOWENTHAL*, California State University, Hayward, DoNALD B. DAVIS, Lockheed, Sunnyvale, and MING Kuo, General Electric, Schenectady (809-31-231)

Friday, January 27, 1984, 1:15 p.m. Session on Number Theory 1:15- 1:25 (423) Amicable pairs from pseudoamicable pairs. Preliminary report. DoNALD J. BoYCE and DALE WooDs*, Central State University, Oklahoma (809-10-262) 1:30- 1:40 (424) Small solutions of polynomial congruences. Preliminary report. TODD CocHRANE, University of Michigan, Ann Arbor (809-10-228) 1:45- 1:55 (425) A new sequence with many properties. BRUCE REZNICK, University of Dlinois, Urbana­ Champaign (809-10-185) 2:00- 2:10 (426) On heights in the Collatz 3n + 1 problem. Preliminary report. LYNN E. GARNER, Brigham Young University, Provo (809-10-85) 2:15- 2:25 (427) On the distribution of quadratic residues. M. G. MoNZINGO, Southern Methodist University (809-10-338) (Introduced by George Reddien) 2:30- 2:40 (428) Character sums associated to certain linear transformations. Preliminary report. PRISCILLA S. BREMSER, United States Naval Academy (809-10-417) 2:45- 2:55 (429) Elliptic analogues to the Brownawell-Waldschmidt theorem. RoB TuBBS, Northern Arizona University (809-10-444) 3:00- 3:10 (430) A counterezample to Mahler's conjecture on best P-adic Diophantine approzimation constants. Preliminary report. ALICE A. DEANIN, Villanova University (809-10-485) 3:15- 3:25 (431) Theta series of quaternary quadratic forms over Z[(l + y'P)/2). DAVID C. HuNG, Ohio State University, Columbus (809-10-337) 3:30- 3:40 (432) Algebraic numbers and topologically equivalent measures. KuoDUO HuANG, Cameron University (809-12-203)

Friday, January 27, 1984, 1:15 p.m. Session on Stability Theory and Mathematical Physics 1:15- 1:25 (433) Propagating USOL-systems and Markov chains. Preliminary report. RANJAN CHAUDHURI, East Carolina University (809-68-223) 1:30- 1:40 (434) Weak gardens of Eden for !-dimensional tessellation automata. MICHAEL D. TAYLOR, University of Central Florida (809-68-406) 1:45- 1:55 (435) Stability of certain systems. K. SzPUNAR, Academy of Mining and Metalurgy, Poland, and W. SzPUNAR-LOJASIEVIcz*, Rochester Institute of Technology (809-93-508) 2:00- 2:10 (436) Directionally dependent asymptotic behavior of biharmonic junctions with applications to elasticity. KENNETH B. HowELL, University of Alabama, Huntsville (809-73-504) 2:15- 2:25 (437) Hydromagnetic stability of rotating stratified compressible fluid flows. V. SRINNASAN, P. KANDASWAMY and L. DEBNATH*, University of Central Florida (809-76-41) 2:30- 2:40 (438) Ezchange of stabilities for Gortler flow. lsoM H. HERRON, Howard University (809-76-167) 2:45- 2:55 (439) Propagation and interference of watJes in oscillatory heat conduction in composite media. P. K. KuLSHRESTHA* and JAMES H. ABBOTT, University of New Orleans (809-80-507) 3:00- 3:10 (440) Statistical mechanics of large coupled oscillator systems. JOHN NEu, University of New Mexico (809-82-49) (Introduced by Jim Mueller) 3:15- 3:25 (441) Imposition of stability on economic time series with rational ezpectations. Preliminary report. ALBERT E. PARISH, JR., College of Charleston (809-90-162) (Introduced by William Golightly) 3:30- 3:40 (442) State-space modeling and solutions by stochastic approzimation. Preliminary report. CHE-PING LEE, California State Polytechnic University, Pomona (809-93-437) 3:45- 3:55 (443) Some degree theoretical methods for set tJalued differential equations with several set valued conditions and other problems. F. WILLIAMSON, Vitry sur Seine, France (809-93-133) 4:00- 4:10 (444) Normal forms for controllable nonlinear systems. THOMAS TAYLOR, Arizona State University (809-93-478) 4:15- 4:25 (445) Information functions on open domain. N. PL. KANNAPPAN, University of Waterloo (809-94-219)

65 4:30- 4:40 (446) Geometry, gravity and unification. THOMAS R. LovE, College of Charleston (809-83-409)

Friday, January 27, 1984, 1:30 p.m.

Special Session on Incompressible Fluid Flow, II 1:30- 1:50 (447) Steady vortex rings. Preliminary report. CHARLES J. AMICK, University of Chicago (809-76- 506) 2:00- 2:20 (448) Hopf bifurcation in two component flow. MICHAEL RENARDY*, University of Wisconsin, Madison, and DANIEL D. JoSEPH, University of Minnesota, Minneapolis (809-76-54) 2:30- 2:50 (449) On the model equations which describe nonlinear wave motions in a rotating fluid. JoNG UHN KIM, Virginia Polytechnic Institute and State University (809-76-142) 3:00- 3:20 (450) Three-dimensional, nonlinear wave interaction in water of constant depth. JOHN REEDER, University of Missouri, Columbia, and MARVIN SHINBROT*, University of Victoria (809-76-132) 3:30- 3:50 (451) Bifurcations among periodic water waves of small amplitude over a flat bottom in both 2- and 3-dimensions. Preliminary report. JoHN REEDER*, University of Missouri, Columbia, and MARVIN SHINBROT, University of Victoria (809-76-407) 4:00- 4:20 (452) Numerical analysis of time dependent flow structures generated by an impulsively started circular cylinder in slightly viscous incompressible fluids. Preliminary report. A. Y. CHEER, University of California, Berkeley (809-76-435) 4:30- 4:50 (453) The role of vorticity in singularity formation in ideal fluid flow. J. THOMAS BEALE*, Duke University, and T. KATO and A. MAmA, University of California, Berkeley (809-76-505)

Friday, January 27, 1984, 2:15p.m. Invited Address 2:15- 3:15 (454) Card shuffling and group representations. PERSI DrAcoNis, Stanford University (809-20-51)

Friday, January 27, 1984, 2:15p.m. Session on Manifolds 2:15- 2:25 (455) Families of quadratic forms associated to quadratic mappings of spheres. JoANN S. TuRisco, United States Naval Academy (809-12-110) 2:30- 2:40 (456) Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations. Preliminary report. RoBERT A. BLUMENTHAL* and JAMES J. HEBDA, St. Louis University (809-57-95) 2:45- 2:55 (457) A strange attracter in a three dimensional flow. Preliminary report. ITTAI KAN, University of Illinois, Urbana-Champaign (809-58-474) 3:00- 3:10 (458) Non-vanishing local cohomology classes. IRA MosKOWITZ, Texas A&M University, College Station (809-57-280) 3:15- 3:25 (459) Locally n-euclidean spaces in T2-space. T. M. AoENIRAN, University of Science and Technology, Nigeria (809-57-523) 3:30- 3:40 (460) Laminated decompositions involving a given submanifold. RoBERT J. DAVERMAN and FREDERICK C. TINSLEY*, University of Tennessee, Knoxville (809-57-396) 3:45- 3:55 (461) Decompositions into submanifolds with similar homology groups. RoBERT J. DAVERMAN* and J. J. WALSH, University of Tennessee, Knoxville (809-57-397) 4:00- 4:10 (462) A note on differentiable functions as cartesian products. MicHAEL R. CoLVIN, California Polytechnic State University (809-55-91) 4:15- 4:25 (463) Maximal homotopy Lie subgroups of maximal rank. Preliminary report. JOHN A. FROHLIGER, Saint Norbert College (809-55-165) 4:30- 4:40 (464) Euler-Poincare characteristic. C. C. HSIUNG, Lehigh University, and KEN SHISKOWSKI*, Eastern Michigan University (809-53-389) 4:45- 4:55 (465) Isometric immersions of non-negatively curved hypersurfaces in hyperbolic space. RoBERT J. CURRIER, University of lllinois, Urbana-Champaign (809-53-390) 5:00- 5:10 (466) On tight surfaces in 3-space. THOMAS E. CECIL*, College of the Holy Cross, and PATRICK J. RYAN, McMaster University (809-53-141) 5:15- 5:25 (467) A new approach to the stability of harmonic maps. Preliminary report. S. WALTER WEI, University of California, Los Angeles, and Michigan State University (809-53-525) 5:30- 5:40 (468) Continuity properties of the nonspacelike conjugate locus. Preliminary report. THOMAS G. POWELL, University of Missouri, Rolla (809-53-469) 5:45- 5:55 (469) Obstructions to homogeneity of a vector bundle. DAVID L. JoHNSON, Texas A&M University, College Station (809-53-470)

66 Friday, January 27, 1984, 2:30p.m. Session on Algebra 2:30- 2:40 (470) Invariant and power invariant rings. Preliminary report. J. H. KIM, East Carolina University (809-13-183) 2:45- 2:55 (471) The structure of generalized permanent semigroups. LEROY B. BEASLEY, Utah State University, and LARRY J. CuMMINGs*, University of Waterloo, Canada (809-15-526) 3:00- 3:10 (472) Ezpressing a polynomial as a sum of equal powers of linear binomials. BoRis Z. RAYKHSHTEYN, Bloomsburg State College (809-15-345) 3:15- 3:25 (473) Some remarks concerning positive operators and cone-stochastic matrices. Preliminary report. CECIL EUGENE ROBINSON, JR., University of Southern Mississippi (809-15-346) 3:30- 3:40 (474) Properness of UL implies the theorem of Ado and Iwasawa. WALTER J. MicHAELIS, Cleveland State University (809-16-164) 3:45- 3:55 (475) A partial order property for solvable Lie algebras. THOMAS A. FARMER, Miami University, Oxford (809-17-513) 4:00- 4:10 (476) Generalizing the Antoine-Speiser formula for A2 characters. Preliminary report. STEVEN N. KAss, University of Wisconsin, Madison (809-17-446) (Introduced by Georgia Benkart) 4:15- 4:25 (477) Odd symplectic groups and plane partition product identities. Preliminary report. RoBERT A. PROCTOR, University of California, Los Angeles (809-17-348) 4:30- 4:40 (478) Nilpotency in derivation alternator rings. Preliminary report. HARRY F. SMITH, Iowa State University (809-17-419) 4:45- 4:55 (479) Degree three identities. IRv:rN RoY HENTZEL *, Iowa State University, and GIULIA MARIA PIACENTINI CATTANEO, University of Rome, Italy (809-17-68) 5:00- 5:10 (480) The construction of free categorical monoids and groups. ALEXANDRU SoLIAN, University of North Carolina, Charlotte (809-18-139)

Friday, January 27, 1984, 2:30 p.m. Session on Banach Spaces 2:30- 2:40 (481) Small projections on £1(n). SIMON J. BERNAU, University of Texas, Austin (809-46-184) 2:45- 2:55 (482) Factoring compact and weakly compact operators through reflexive Banach lattices. C. D. ALIPRANTIS and 0. BURKINSHAW*, Indiana University-Purdue University, Indianapolis (809-47-30) 3:00- 3:10 (483) The reciprocal Dunford-Pettis property. Preliminary report. TOMMY LEAVELLE, North Texas State University (809-46-173) (Introduced by Paul Lewis) 3:15- 3:25 (484) Projective properties of C(X)-locally convex modules. J. W. KITCHEN, Duke University, and D. A. RoBBINs*, Trinity College, Hartford (809-46-18) 3:30- 3:40 (485) A note on the Clarkson inequality and the Hanner inequality. TECK-CHEONG LIM, George Mason University (809-46-290) 3:45- 3:55 (486) Relatively uniform boundedness and pointwise limits of Banach-space operators. Preliminary report. WILLIAM E. KAUFMAN, Ohio University, Athens (809-46-146) 4:00- 4:10 (487) Rotundity and extremity in Lebesgue-Bochner function spaces. Preliminary report. MARK A. SMITH, Miami University, Oxford (809-46-377) 4:15- 4:25 (488) Universal Pettis integrability. KEVIN T. ANDREWS, Texas A&M University, College Station (809-46-379) 4:30- 4:40 (489) Trigonometric series with bounded partial sums on a set and g~. J. M. AsH* and ROGER L. JoNES, DePaul University (809-42-376) 4:45- 4:55 (490) On the kernel of certain maximal operators on HP classes, 0 < p < 1. Preliminary report. JAMIL HASHIMI, University of IDinios, Urbana-Champaign (809-42-429)

5:00- 5:10 (491) An interesting subset of £00 • ELIZABETH M. BATOR*, North Texas State University, and RoBERT E. HuFF, Pennsylvania State University, University Park (809-46-462)

Friday, January 27, 1984, 3:15p.m. Session on Applied Combinatories and Game Theory 3:15- 3:25 (492) A tripartite specification of data types. ARTHUR KNOEBEL, New Mexico State University, Las Cruces (809-68-433) 3:30- 3:40 (493) Bridge sort. Preliminary report. WILLIAM C. ARLINGHAUS, University of Detroit (809-68-476) 3:45- 3:55 (494) Pumping lemmas and characterizations of formal languages. Preliminary report. JERALD A. KABELL, University of Cincinnati (809-68-502) 4:00- 4:10 (495) Automata on Cayley graphs. MAxiMILIANO GARZON, University of illinois, Urbana-Champaign (809-68-503)

67 4:15- 4:25 (496) Encoding using threshold tests. Preliminary report. PAUL C. SHIELDS, University of Toledo (809-94-283) 4:30- 4:40 (497) Concepts of solution with thresholds for cooperative n person games with side payments. IRINEL C. DRAGAN, University of Texas, Arlington (809-90-25) 4:45- 4:55 (498) Invariant optimal component configurations. Preliminary report. DAVID MALON, University of Kentucky (809-90-477) 5:00- 5:10 (499) The decision-maker's payoff matrix. ELLEN TORRANCE, Stamford, Connecticut (809-90-436) 5:15- 5:25 (500) On final choice functions on a finite set. JIN BAI KIM, West Virginia University, Morgantown (809-90-411) 5:30- 5:40 (501) Noncooperative games with a continuum of players. Preliininary report. DAVID L. HousMAN, University of Minnesota, Minneapolis (809-90-410) 5:45- 5:55 (502) Some geodetic achievement and avoidance games on graphs. FRANK HARARY, University of Michigan, Ann Arbor (809-90-197)

Friday, January 27, 1984, 3:30p.m.

Invited Address 3:30- 4:30 (503) Group actions on rings and generalized inner automorphisms. M. SusAN MoNTGOMERY, University of Southern California (809-16-269)

Friday, January 27, 1984, 3:30p.m.

Special Session on Vector Field Systems and Control, ill 3:30- 3:50 (504) Remarks on sampling of nonlinear systems. EDUARDO D. SONTAG, Rutgers University, New Brunswick (809-93-211) 4:00- 4:20 (505) A condition equivalent to global controllability in systems of vector fields. Preliminary report. KEVIN GRASSE, University of Oklahoma, Norman (809-93-44) 4:30- 4:50 (506) On the controllability of certain nonlinear systems. Preliminary report. FELIX ALBRECHT, University of illinois, Urbana-Champaign (809-93-545) 5:00- 5:20 (507) Strong controllability in nonlinear systems. RoN HIRSCHORN, Queen's University (809-93-438) (futroduced by Henry Hermes) 5:30- 5:50 (508) Linearizations of nonlinear systems. Preliminary report. LoUis R. HuNT* and RENJENG Su, Texas Tech University (809-93-42)

Saturday, January 28, 1984, 1:00 p.m.

Colloquium Lectures: Lecture IV 1:00- 2:00 (509) On the arithmetic of curves. IV. BARRY MAzuR, Harvard University

Saturday, January 28, 1984, 1:00 p.m.

Special Session on Partial Dift'erential Equations and Optimal Control Problems, IT 1:00- 1:20 (510) A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. L. C. EVANs*, University of Maryland, College Park, and H. IsHII, Chuo University, Japan (809-35-14) 1:30- 1:50 (511) Fine structure of some two dimensional viscosity solutions. Preliminary report. ROBERT JENSEN, University of Kentucky (809-35-536) 2:00- 2:20 (512) Differential games, optimal control and directional derivatives of viscosity solutions. Preliminary report. PIERRE LOUIS LIONS, Universite Paris JX-Dauphine, France, and P ANAGIOTIS E. SouGANIDIS*, Brown University (809-35-367) 2:30- 2:50 (513) Optimal stochastic switching with small noise intensity. S. A. BELBAS, University of Maryland, College Park (809-35-457) 3:00- 3:20 (514) Bifurcation phenomena for certain systems of quasi-variational inequalities. STAVROS BELBAS, University of Maryland, College Park, and AGNES SULEM*, INRIA, France (809-35-491) 3:30- 3:50 (515) Nonlinear elliptic problems involving derivatives of the nonlinearity. JosE CARILLO MENENDEZ, Universidad Complutense, Madrid, Spain, and MICHEL CHIPOT*, University of Maryland, College Park (809-35-123) 4:00- 4:20 (516) Shape optimization approach to numerical solution of the obstacle problem. ALEXANDER BoGOMOLNY*, University of Iowa, and JEAN Hou, Old Dominion University (809-49-216) (futroduced by Suzanne M. Lenhart)

68 Saturday, January 28, 1984, 1:00 p.m. Special Session on Ordered Algebraic Structures, ill 1:00- 1:20 (517) A locally finitely presented simple orderable group. Preliminary report. AKBAR RHEMTULLA, University of Alberta, Canada (809-06-535) 1:30- 1:50 (518) Quantifier elimination in discriminator varieties. FRANQOISE POINT, Mons University, Belgium, and Yale University (809-06-234) (Introduced by Andrew M. W. Glass) 2:00- 2:20 (519) Free lattice ordered groups and vector lattices over generalized Boolean algebras. PAUL CONRAD, University of Kansas (809-06-484) 2:30- 2:50 (520) Applying diagrams to free lattice-ordered groups. STEPHEN H. McCLEARY, University of Georgia (809-06-299) 3:00- 3:20 (521) Additive structures of totally ordered semirings. M. SATYANARAYANA, Bowling Green State University (809-06-332) 3:30- 3:50 Problem Session

Saturday, January 28, 1984, 1:00 p.m. Special Session on Semigroup Theory, ill 1:00- 1:20 (522) Products of idempotents in finite full transformation semigroups: some improved bounds. JOHN M. HOWIE, University of St. Andrews, Scotland (809-20-70) 1:30- 1:50 (523) Almost biprefix codes. GERARD LALLEMENT, Pennsylvania State University, University Park (809-20-267) 2:00- 2:20 (524) Regular semigroups with inverse transversals. II. Preliminary report. DoNALD B. McALISTER* and RoBERT McFADDEN, Northern illinois University (809-20-125) 2:30- 2:50 (525) On inverses of products in regular semigroups. R. J. KocH, Louisiana State University, Baton Rouge (809-20-20) 3:00- 3:20 (526) The translational degree of a semigroup. Preliminary report. J. A. HILDEBRANT, Louisiana State University, Baton Rouge (809-20-92) 3:30- 3:50 (527) The classification problem for compact UDC's. D. R. BROWN and J. W. STEPP*, University of Houston, Houston (809-22-266) 4:00- 4:20 (528) Some isomorphism problems of power semigroups. YuJI KoBAYASHI, North Carolina State University (809-20-205) (Introduced by Takayuki Tamura)

Saturday, January 28, 1984, 1:15 p.m. Session on Complexes and Cells 1:15- 1:25 (529) Codimension two cellular decompositions of the Hilbert cube. Preliminary report. DENNIS J. GARITY*, Oregon State University, and TERRY L. LAY, Idaho State University (809-57-499) 1:30- 1:40 (530) On the homology of finite free (Z fp)n-complexes. Preliminary report. RussELL LA PUMA, University of California, La Jolla (809-57 -518) 1:45- 1:55 (531) Hopf bifurcation in the presence of symmetry. Preliminary report. IAN STEWART, University of Houston, Houston (809-58-510) (Introduced by M. Golubitsky) 2:00- 2:10 (532) Chaos, periodicity and snakelike continua. MARCY BARGE* and JoE MARTIN, University of Wyoming (809-58-220) 2:15- 2:25 (533) General position properties satisfied by finite products of dendrites. Preliininary report. PHILIP L. BowERS, University of Tennessee, Knoxville (809-57-281) 2:30- 2:40 (534) An alternate proof of Torunczyk's characterization of Hilbert cube manifolds. Preliminary report. JoHN J. WALSH, University of Tennessee, Knoxville (809-57-293) 2:45- 2:55 (535) Lower simple-homotopy theory, a classical approach. HANs J. MuNKHOLM*, University of Maryland, College Park, and D. R. ANDERSON, Syracuse University (809-57-296) 3:00- 3:10 (536) Homogeneity of Menger k-dimensional universal compacta. Preliininary report. MLADEN BESTVINA, University of Tennessee, Knoxville (809-57-301) 3:15- 3:25 (537) The simple homotopy type of 2-dimensional OW-complexes with finite Abelian 1r1. Preliininary report. M. PAUL LATIOLAIS, Tulane University (83T-57-420) (Abstracts, October 1983, page 504) 3:30- 3:40 (538) Covering space by spheres. N. J. A. SLOANE, Bell Laboratories, Murray Hill (809-52-177)

Saturday, January 28, 1984, 1:15 p.m. Session on Numerical Methods and Approximation Theory 1:15- 1:25 (539) Computation of the performance index of singular linear discrete-time controlled systems. Preliminary report. JOHN JONES, JR.*, and T. J. JoNES, United States Air Force Institute of Technology (809-65-182)

69 1:30- 1:40 (540) A descent method for moment problems and semi-infinite programs. WALTER CARRINGTON, University of Hartford (809-65-501) 1:45- 1:55 (541) An iterative method for solution of a boundary value problem in non-Newtonian fluid flow. C. D. LUNING, Sam Houston State University, and W. L. PERRY*, Texas A&M University, College Station (809-65-66) 2:00- 2:10 (542) Numerical approximation of nonlinear Volterra functional operators. Preliminary report. BARUCH CARLON, Oakland University (809-65-232) 2:15- 2:25 (543) A modification of Gaussian integration. R. SHERMAN LEHMAN, University of California, Berkeley (809-65-312) 2:30- 2:40 (544) Walsh overconvergence, a unified approach. Preliminary report. THOMAS E. PRICE, JR., University of Akron (809-65-313) 2:45- 2:55 (545) Continuous approximate solutions of ordinary differential equations and their systems. DIRAN SARAFYAN, University of New Orleans (809-65-404) 3:00- 3:10 (546) A new method for the numerical solution of the Reynolds equation for gas lubricated slider bearings. MAHARAJA C. P ANDIAN, University of Texas, Arlington (809-65-405)

Saturday, January 28, 1984, 1:15 p.m. Session on Banach Algebras 1:15- 1:25 (547) Harmonic analysis and derivations on P-commutative Banach *-algebras. Preliminary report. RoBERT S. DORAN, Texas Christian University (809-43-145) 1:30- 1:40 (548) Derivations from subalgebras of C*-algebras. Preliminary report. STEVE WRIGHT, Oakland University (809-46-534) 1:45- 1:55 (549) Inner co-actions on C*-algebras. JOHN QuiGG, Arizona State University (809-46-463) 2:00- 2:10 (550) Subalgebras of H""(D) and the corona property. JOHN H. RILEY, JR., Ohio Northern University (809-46-282) 2:15- 2:25 (551) On the preduals of certain operator algebras. JuLIAN SHEUNG, University of Hawaii, Honolulu (809-46-221) 2:30- 2:40 (552) Divisibility in Douglas algebras. SHELDON AxLER, Michigan State University, and PAMELA GORKIN*, Bucknell University (809-46-193)

Saturday, January 28, 1984, 1:15 p.m.

Session on Differential Equations and Boundary Values, II 1:15- 1:25 (553) Asymptotic behavior of solutions of a class of higher order ordinary differential equations. TAKAS! KusANO, Hiroshima University, Japan, and BHAGAT SINGH*, University of Wisconsin, Manitowoc (809-34-19) 1:30- 1:40 (554) A new concept of stability-Mo-stability. Preliminary report. JANE C. MooRE, University of Texas, Arlington, and Texas Wesleyan College (809-34-28) 1:45- 1:55 (555) Compact, periodic and almost-periodic solutions of abstract differential equations. S. ZAIDMAN, Universite de Montreal (809-34-05) (Introduced by C. Corduneanu) 2:00- 2:10 (556) Disconjugacy, disfocality and differentiation with respect to boundary conditions. JOHNNY HENDERSON, University of Missouri, Rolla (809-34-151) 2:15- 2:25 (557) On (k, n- k)-disconjugacy and Green's functions for linear difference equations. Preliminary report. ALLAN C. PETERSON, University of Nebraska, Lincoln (809-34-230) 2:30- 2:40 (558) Existence and uniqueness theorems for fourth order boundary value problems. Preliminary report. REzA AFTABIZADEH, Pan American University (809-34-449) 2:45- 2:55 (559) Monotone iterative technique for second order periodic boundary value problems. S. LEELA, State University of New York, Geneseo (809-34-455)

Saturday, January 28, 1984, 2:15 p.m. Invited Address 2:15- 3:15 (560) Intersection homology and its applications. ROBERT D. MAcPHERSON, Brown University (809-55-544)

W. Wistar Comfort Middletown, Connecticut Associate Secretary

70 Notre Dame, April 6-7, 1984, University of Notre Dame Second Announcement of the 810th Meeting

The eight hundred and tenth meeting of the Hans-Christian Mez, James H. Schmerl, Charles American Mathematical Society will be held at the I. Steinborn, and Carol Wood. University of Notre Dame, Notre Dame, Indiana, on Metric linear function spaces, N. TENNEY Friday and Saturday, April 6 and 7, 1984. Sessions PECK, University of Illinois, Urbana-Champaign. will be held in the Notre Dame Center for Continuing The tentative list of speakers includes Dale E. Education (CCE). Alspach, Donald L. Burkholder, Peter G. Casazza, Invited Addresses Daniel H. Luecking, Barbara D. MacCluer, Jerzy Mogilski, Joel H. Shapiro, Manfred Stoll, and David By invitation of the 1983 Committee to Select A. Trautman. Hour Speakers for Central Sectional Meetings there Differential equations, T. K. PuTTASWAMY, will be five invited one-hour addresses. The speakers, Ball State University. The tentative list of speakers their titles, and the scheduled times of presentation includes Jim Douglas, Jr., Harry Gingold, Morton are as follows: E. Gurtin, William A. Harris, Jr., Po Fang Hsieh, GERD F ALTINGS, Gesamthochschule Wuppertal, Anthony W. Leung, Warren S. Loud, Richard Arithmetic algebraic geometry, 9:30 a.m. Friday. K. Miller, T. K. Puttaswamy, James B. Serrin, and NIGEL J. KALTON, University of Missouri, Ding Tongren. Columbia, Three space problems in functional Most of the papers to be presented at these special analysis, 1:45 p.m. Saturday. sessions will be by invitation. However, anyone PAUL G. NEVAI, Ohio State University, Or­ submitting an abstract for the meeting who feels that thogonal polynomials, 11:00 a.m. Saturday. his or her paper would be particularly appropriate KAREL L. PRIKRY, University of Minnesota, for one of these special sessions should indicate this Minneapolis, The role of measurable cardinals in clearly on the abstract and submit it by January set theory and analysis, 1:45 p.m. Friday. 10, three weeks before the deadline for contributed WILLIAM F. SCHELTER, University of Texas, papers. Austin, Finitely generated algebras satisfying a Contributed Papers polynomial identity, 11:00 a.m. Friday. All five one-hour talks will be held in the There will also be sessions for contributed ten­ auditorium of the Notre Dame Center for Continuing minute papers as needed. Abstracts should be Education. prepared on the standard AMS form available from the AMS office in Providence, or in departments Special Sessions of mathematics. Abstracts should be sent to the By invitation of the same committee there will be American Mathematical Society, P. 0. Box 6248, five sessions of selected twenty-minute papers. The Providence, Rhode Island 02940, so as to arrive topics of these special sessions, the names of the prior to the abstract deadline of February 1, 1984. mathematicians arranging them, and the tentative Members are reminded that a charge of $12 is imposed lists of speakers are as follows: for retyping abstracts that are not in camera-ready Orthogonal polynomials and their applications, form. THEODORE S. CHIHARA, Purdue University, Council Meeting Calumet. The tentative list of speakers includes Waleed A. Al-Salam, Michael Barnsley, Paul Erdos, The Council of the Society will meet at 7:00 p.m. Phillip Feinsilver, Walter Gautschi, Andrew Har­ on Thursday, April 5. rington, Mourad Ismail, J. H. B. Kemperman, Lance Symposium L. Littlejohn, Attila Mate, H. N. Mhaskar, Ferenc M6ricz, John Nuttal, Mizanur Rahman, Rong-Chyu Pseudodifferential Operators and Fourier Sheen, Dennis W. Stanton, Vilmos Totik, and Joseph Integral Operators with Applications L. Ullman. to Partial Differential Equations Ring theory, BARBARA CORTZEN, De Paul With the anticipated support of the Na­ University. The tentative list of speakers includes tional Science Foundation, a symposium on Jeffrey M. Bergen, Victor P. Camillo, Kent R. Fuller, Pseudodifferential operators and Fourier integral Joel K. Haack, Darrell E. Haile, Jeanne W. Kerr, operators with applications to partial differential Lenne G. Makar-Limanov, Peter Malcolmson, Mary equations is scheduled to take place Monday through Peles-Rosen, Jerry D. Rosen, and Gunnar Sigurdsson. Thursday, April 2-5. This topic was selected by the Model theory, JULIA F. KNIGHT, University 1982 Committee to Select Hour Speakers for Central of Notre Dame. The tentative list of speakers Sectional Meetings, whose memebers were Richard includes Gisela Ahlbrandt, Steven A. Buechler, A. Askey, M. Salah Baouendi (chairman), Paul T. Gregory L. Cherlin, Ali Enayat, Henry A. Kierstead, Bateman, R. H. Bing, and J. Ian Richards.

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SOUTH BEND INDIANA

72 The Organizing Committee for the symposium Members of AMS or ASL $10 includes Charles Fefferman, Princeton University; Student/Unemployed $ 5 Victor W. Guillemin, Massachusetts Institute of Symposium and Meeting Technology; Nancy K. Stanton, University of Notre Nonmember $46 Dame; Michael E. Taylor, SUNY, Center at Stony Members of AMS or ASL $30 Brook; and FranllOis Treves (chairman), Rutgers Student/Unemployed $15 University, New Brunswick. There will be twelve one-hour talks devoted to Petition Table one currently active area of research in PDE theory, A petition table will be set up in the registration and a number of more specialized 40-minute talks area. Additional information can be found in a box containing more details about important results in the Louisville meeting announcement in this issue. obtained in recent years. Book Exhibits and Sale A partial list of speakers and participants, which There will be an exhibit of assorted mathematics includes only those who have accepted invitations, is: books offered by various publishers, and a sale at Shmuel Agmon (Hebrew University), Serge Alin­ substantial discounts of recent books published by hac (University of Paris-Sud), M. Salah Baouendi the American Mathematical Society. The exhibit (Purdue University), Richard W. Beals (Yale Univer­ and sale will be open during the same hours and in sity), R. Michael Beals (Rutgers University), Donald the same location as the registration desk Monday E. Catlin (Princeton University), Ronald R. Coif­ through Thursday. On Friday it will be located in man (Yale University), Leon Ehrenpreis (Yeshiva Room 100 from 8:30 a.m. until 4:00 p.m., but will University), Gregory Eskin (University of California, not be open on Saturday. Los Angeles), Charles Fefferman, Peter C. Greiner (University of Toronto), Victor W. Guillemin, Lars Accommodations Hormander (University of Lund, Sweden), Carlos Blocks of rooms are being held for participants E. Kenig (University of Minnesota, Minneapolis), at the following area motels. Individuals should Joseph J. Kohn (Princeton University), Masatake make their own reservations prior to the cut-off Kuranishi (Columbia University), Richard B. Melrose date of March 18, 1984, and should be sure to (Massachusetts Institute of Technology), Yves Meyer identify themselves as participants in the American (Ecole Polytechnique, France), Duong Hong Phong Mathematical Society's meetings at Notre Dame's (Columbia University), Jeffrey B. Rauch (University Center for Continuing Education. Rates listed are of Michigan, Ann Arbor), Michael C. Reed (Duke subject to change and do not inch,1de the 10 percent University), Linda Preiss Rothschild (University of local tax. California, San Diego), Pierre Schapira (University Budgeteer Motor Inn of Paris-Nord), Nancy K. Stanton, Elias M. Stein 52825 U.S. 31 North, South Bend, Indiana 46637 (Princeton University), DavidS. Tartakoff(University Telephone: 219-272-9000 of Illinois, Chicago), and Michael Taylor (SUNY, Single $23.95 Double $28.95 Center at Stony Brook). Days Inn A complete list of speakers and the titles of their 52757 U.S. 31 North, South Bend, Indiana 46637 lectures will be included in the program of the Telephone: 219-272-0510 symposium in the February issue of the Notices. Single $26.88 Double $29.88 Association for Symbolic Logie Holiday Inn There will be a meeting of the Association for 515 Dixie Way North, South Bend, Indiana 46637 Symbolic Logic on Saturday and Sunday, April 7 and Telephone: 219-272-6600 8. Further details may be obtained from Julia F. Knight, Department of Mathematics, University of Single $41 Double $47 Notre Dame, Notre Dame, Indiana 46556. Ramada Inn 52890 U.S. 31 North, South Bend, Indiana 46637 Registration Telephone: 219-272-5220 The registration desk will be open from 8:30 a.m. Single $33 Double $38 until 4:00 p.m. Monday through Friday, and from 8:30 a.m. until 11:30 a.m. on Saturday at the South Bend Marriott Hotel Center for Continuing Education. Monday through 123 N. St. Joseph Street, South Bend, Indiana 46601 Thursday the desk will be located in Room 112 (off Telephone: 219-234-2000 the first floor lobby), and on Friday and Saturday it Single $52 Double $58 will be in the CCE lobby. The Morris Inn Symposium Only University of Notre Dame, Notre Dame, Indiana Nonmember $30 46556 Member $20 Telephone 219-234-0141 Student/Unemployed $10 Single $41 Double $47 Meeting Only The Morris Inn is directly across the road from the Nonmember $16 Center for Continuing Education. All other hotels,

73 except for the Marriott, are approximately three the off-campus motels also maintain parking areas mil~s north of the campus. Bus service is available for their guests, but public transportation (except from the Marriott, but a taxicab is necessary for taxi service) is not available to the campus from all persons not driving their cars to the meeting. of them. Food Service Transportation The main dining room at the Morris Inn is open The Center for Continuing Education is located at from 8:00 a.m. to 10:30 a.m. for breakfast, 11:30 the main gate of the campus on Notre Dame Avenue, a.m. to 2:00 p.m. for lunch, and from 5:00 p.m. across the road from the University's Morris Inn. The to 8:30 p.m. for dinner Monday through Saturday; campus is about ninety miles east of Chicago, and on Sunday the hours are from 8:00 a.m. to 2:00 five minutes from the Indiana Toll Road (Interstate p.m., and 5:00 p.m. to 8:00 p.m. Cafeteria-style 80/90). South Bend, immediately south of Notre service is available at the Oak Room of the South Dame, is served by the interurban South Shore Dining Hall, which is a five-minute walk west from Railroad from Chicago, and by Amtrak trains (from the Morris Inn, from 7:00 a.m. to 7:00 p.m. daily; east and west) daily. Airline service to the local Monday through Saturday it reopens from 9:00 p.m. Michiana Regional Airport is provided primarily by to midnight. The Huddle in LaFortune Student commuter lines from Chicago, Cleveland, Detroit, and Center (a five-minute walk north from the Center Indianapolis via Britt, Air Wisconsin, and Republic, for Continuing Education) operates from 8:00a.m. to in addition to service via United and Piedmont midnight Monday through Saturday, and from noon Airlines. Limousine service is available between the to midnight on Sunday. campus and the airport. In addition, United Limo Many fine restaurants are located in the area but, provides service between Chicago's O'Hare Airport unfortunately, they are not within walking distance and the Notre Dame campus or area hotels. The from the campus. A list of these restaurants will be current one-way fare is $22 per person and advance available at registration. reservations are suggested. From outside Indiana the Parking toll free telephone number to call for information and reservations is 800-833-5555, and from within Indiana The conference parking Jot is located directly it is 800-332-7323. behind the Center for Continuing Education, where there is a daily fee of 75 cents. Guests staying at Paul T. Bateman the Morris Inn may park there at no charge. All of Urbana, Illinois Associate Secretary

CONTEMPORARY David Gillman and Dale Rolfsen, Manifolds and their special spines MATHEMATICS Sushil jajodia and Bruce Magurn, Realizing units as Whitehead torsions In low dimension Dennis johnson, A survey of the Torelli group Louis H. Kauffman, Comblnatorics and knot .theory R. Kramer, Dehn twists and handlebodies of genus two ). P. Levine, Localization of link modules Low Dimensional Topology A. Libgober, Alexander modules of plane algebraic curves Samuel J. Lomonaco, Jr., Editor S. ). Lomonaco, Jr., Five dimensional knot theory This volume arose from a special session on Low Toru Maeda and Kunio Murasugi, Covering linkage Dimensional Topology organized and conducted by invariants and Fox's problem 13 Dr. Lomanco at the American Mathematical Society Richard Mandelbaum and Boris Moishezon, Numeric meeting held in San Francisco, California, january invariants in 3-manifolds 7-11' 1981. William W. Menasco, Polyhedra representation of link Contents complements Joan S. Birman and R. F. Williams, Knotted periodic john G. Ratcliffe, A fibered knot in a homology orbits In II: Knot holders for 3-sphere whose group is nonclassical fibered knots Martin Scharlemann and Craig Squier, Automorph- Steven A. Bleiler, Doubly prime knots isms of the free group of rank two without finite joe Brandenburg, Micheal Dyer, and Ralph Strebel, orbits On}. H. C. Whitehead's aspherical question II 1980 Mathematics Subject Classifications: 57-06, 57Mxx, Roger Fenn and Denis Sjerve, Geometric cohomology 55-06 theory Contemporary Mathematics Ronald Fintushel and Ronald J. Stern, Seifert fibered Volume 20, x + 350 pages (soft cover) 3-manifolds and nonorientable +manifolds List price $27, institutional member $20, individual member $14 Michael H. Freedman, A conservative Dehn's lemma ISBN 0·8218·5016-4; LC 83-10022 , The Murasugl sum is a natural geometric Publication date: August 1983 operation To order, please specify CONM/20N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

74 Richmond, April13-14, 1984, Virginia Commonwealth University Second Announcement of the 811th Meeting

The eight hundred and eleventh meeting of the for retyping abstracts that are not in camera-ready American Mathematical Society, scheduled jointly form. with the Maryland-District of Columbia-Virginia Other Activities Section of the Mathematical Association of America, will be held at Virginia Commonwealth University, In conjunction with the joint AMS-MAA sectional Richmond, Virginia, on Friday and Saturday, April meetings, Virginia Commonwealth University will 13-14, 1984. host a mini-symposium on Analysis on Semigroups, coordinated by J. F. Berglund, P. Milnes and H. D. Invited Addresses Junghenn. The mini-symposium will be held on By invitation of the 1983 Committee to Select April 12 and 13. Persons interested in participating Hour Speakers for Southeastern Sectional Meetings, should contact J. F. Berglund, Mathematical Sciences there will be three AMS invited one-hour addresses. Department, Virginia Commonwealth University, The speakers, their affiliations, and titles of their Richmond, Virginia 23284. talks are as follows: Registration BELA BALLOBA.s, Louisiana State University, The location of the meeting registration desk, and Random graphs. the hours during which the desk will be open, will THOMAS F. BANCHOFF, Brown University, Inter­ be announced in the February issue of the Notices. active computer graphics in differential geometry The registration fees, which will apply for this joint teaching and research. meeting only, are $5 for members of the AMS or JoHN J. WALSH, University of Tennessee, Knox­ MAA, $8 for nonmembers, and $5 for students or ville, Detecting infinite dimensional manifolds unemployed mathematicians. homologically. Petition Table Professor Banchoff is jointly invited by the AMS A petition table will be set up in the registration and MAA to address a joint meeting at 7:00p.m. on Friday night. area. Additional information can be found in a box in the Louisville meeting announcement in this issue. Special Sessions Accommodations By invitation of the same committee, there will Sleeping rooms have been blocked at the Holiday be three special sessons of selected twenty-minute Inn-Downtown. Participants who wish to reserve papers. The topics of these special sessions and the rooms there must write to Mrs. Patricia Worley names of the organizers are: at the Division of Continuing Studies, Virginia Field theory, JAMES K. DEVENEY, Virginia Commonwealth University, 301 West Franklin Street, Commonwealth University. Richmond, Virginia 23220, or telephone her at Low dimensional topology, WILBUR WHITTEN, 804-786-0342 Monday through Friday between 8:30 University of Southwestern Louisiana. a.m. and 4:30 p.m. The deadline for these reservations Applied mathematics, TAI PING Lm, University is March 23, 1984. Rates are firm but do not include of Maryland, College Park. applicable 6 percent tax. Most of the papers to be presented at these special Holiday Inn-Downtown (5 blocks from campus) sessions will be by invitation. However, anyone 301 West Franklin Street, Richmond submitting an abstract for the meeting who feels that Telephone: 804-644-9871 his or her paper would be particularly appropriate Single $35 Double $40 for one of these special sessions should indicate this Rooms have also been blocked at the following clearly on the abstract and submit it by January location. Individuals should make their own 16, three weeks before the deadline for contributed reservations directly with the Quality Inn and papers, in order that it may be considered for identify themselves as participants in the AMS-MAA inclusion. meeting in order to obtain these special rates. The Contributed Papers deadline for reservations is March 23, 1984. Rates There will also be sessions for contributed ten­ are subject to change, and do not include applicable minute papers. Abstracts should be prepared tax. on the standard AMS form available from the Quality Inn Commonwealth (2 blocks from campus) AMS office in Providence, or in departments of 515 West Franklin Street, Richmond mathematics. Abstracts should be sent to the Telephone: 804-643-2831 or 800-228-5151 American Mathematical Society, P. 0. Box 6248, Single $28 Double $36 Providence, Rhode Island 02940, so as to arrive Although rooms have not been blocked at the prior to the abstract deadline of February 6, 1984. following locations, they are included here for Members are reminded that a charge of $12 is imposed information purposes.

75 Days Inn (6 miles) Preregistration will determine whether or not there 1-64 and W. Broad Street Junction is sufficient interest to finalize arrangements, and 2100 Dickens Road, Richmond refunds will be issued if the tour is cancelled. Please Telephone: 804-282-3300 make checks payable to the MAA and send to John Single $35.88 Double $40.88 Schmeelk at the above address so as to also arrive by Hyatt Richmond at Brookfield (6 miles) March 23. 6624 W. Broad Street at 1-64 Travel and Local Information P. 0. Box 6535, Richmond Several airlines provide service to and from Telephone: 804-285-8666 or 800-228-9000 Richmond. Groomes Transportation Service operates Single $66-$76 Double $81-$91 from the airport to most parts of the city at a cost of Social Events about $10 per person. Taxi service to and from the A banquet will be held on Friday evening at the airport is also available. Holiday Inn. The cost will be $16, and includes The weather in April should be mild and pleasant, the beer party which follows immediately after. The with temperatures averaging 60"F. cost for the beer party only is $4, for those who Free parking is provided for guests at the Holiday do not wish to attend the banquet. Checks in Inn-Downtown, and on-street parking is usually the appropriate amount should be made payable to available on campus during the weekend. The the MAA and sent to John Schmeelk, Department University parking deck is located at the corner of of Mathematical Sciences, Virginia Commonwealth West Main and S. Laurel Street (one block from the University, 1015 W. Main Street, Richmond, Virginia meeting area), where there might be a parking fee. 23248 so as to arrive by Mareh 23, 1984. A bus tour to historic sites in Richmond is ten­ Frank T. Birtel tatively scheduled on Saturday from approximately New Orleans, Louisiana Associate Secretary 9:30 a.m. to 12:30 p.m. at a cost of $10 per person.

of Krasnosel'skii's Compression of a Cone Theorem, are given. Also, fixed points, antipodal points, coin­ cidences of multifunctions are discussed. Several re­ sults with applications in the field of partial differen­ tial equations are given. Application of fixed point theory in the area of Approximation Theory is also illustrated. Topological Methods Papers by the following are included: in Nonlinear Functional Analysis M. Altman S. A. Naimpally, F. E. Browder K. L. Singh S. P. Singh, S. Thomeier, and B. Watson, Editors R. F. Brown and}. H. W. Whitfield This volume contains the proceedings of the E. R. Fadel/ P. L. Papini special session on Fixed Point Theory and Applica­ and S. Hussein/ W. V. Petryshyn tions held during the Summer Meeting of the Ameri­ G. Fournier S. Reich can Mathematical Society, at the University of K. Goebel B. E. Rhoades Toronto on August 21-26, 1982. The theory of con­ and W. A. Kirk H. Schirmer tractors and contractor directions is developed and M. von Golitschek V. M. Sehgal, S. P. Singh used to obtain existence theory under rather weak and E. W. Cheney and B. Watson conditions. Theorems on the existence of fixed R. Guzzardi V. M. Sehgal points of nonexpansive mappings and the convergence D. S. jaggl and C. Waters of the sequence of iterates of nonexpansive and quasi­ M. Martelli nonexpansive mappings are given. Degree of mapping 1980 Mathematics Subject Classifications: 54H25, 47Hxx. and its generalizations are given in detail. A class of Contemporary Mathematics eventually condensing mappings is studied and multi­ Volume 21, vi + 218 pages (soft cover) valued condensing mappings with multiple fixed List price $20, institutional member $15, individual member $10 points are also given. Topological fixed points includ­ ISBN 0·8218·5023·7; LC 83-11824 ing the study of the Nielsen number of a selfmap on Publication date: September 1983 a compact surface, extensions of a well-known result To order, please specify CONMI21 N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

76 Joint Summer Research Conferences in the Mathematical Sciences Bowdoin College, June 10 to August 18, 1984

The 1984 Joint Summer Research Conferences in these conferences are limited and so individuals who the Mathematical Sciences will be held at Bowdoin can obtain support from other sources should do so. College, Brunswick, Maine, between June 10 and The Joint Summer Research Conferences in the August 18, 1984. It is anticipated that the series of Mathematical Sciences are under the direction of week-long conferences will be supported by a grant the AMS-IMS-SIAM Committee on Summer Research from the National Science Foundation. Conferences in the Mathematical Sciences which There will be ten one-week conferences in ten includes: Benedict Gross, Malcolm R. Leadbetter, different areas of mathematics. Each week par­ Angus J. Macintyre, Jerrold E. Marsden, James ticipants will arrive on Sunday and leave the follow­ McKenna, Evelyn M. Nelson, Katsumi Nomizu, Julius ing Saturday. The topics and organizers for the Shaneson, R. 0. Wells, Jr. (chairman), and Shmuel ten conferences were selected by the AMS-IMS-SIAM Winograd. Commmittee on Joint Summer Research Confe1ences Descriptions of the subject matter of each of the in the Mathematical Sciences. The selections were 1984 Conferences appeared in the October Notices, b,ased on suggestions made by the members of the pages 663 to 665; they were accompanied by lists of committee, by members of the Council of the AMS members of the respective organizing committees. and others. The committee considered it important June 10 to June 16 that the conferences represent diverse areas of math­ New multivariate methods in statistics ematical activity, with emphasis on areas currently PETER HuBER (Harvard University), Chairman especially active, and paid careful attention to sub­ jects in which there is important interdisciplinary June 17 to June 23 activity at present. Random matrices and their applications The conferences will be similiar in structure to JoEL CoHEN (Rockefeller University), Chairman those held throughout the year at Oberwolfach. These June 24 to June 30 conferences are intended to complement the Society's The mathematics of phase transitions program of annual Summer Institutes and Summer RICHARD DURRETT (University of California, Los Seminars, which have much larger attendance and are Angeles), Chairman substantially broader in scope. The conferences are research conferences, and are not intended to provide July 1 to July 7 an entree to a field in which a participant has not Aspherical complexes already worked. KENNETH BROWN (Cornell University), Co­ It is expected that funding will be available for Chairman about thirty participants in each conference. Others, F. T. FARRELL (University of Michigan, Ann in addition to those funded, will be welcome, within Arbor), Co-Chairman the limitations of the facilities of the campus. Up July 8 to July 14 to about seventy participants can be accommodated Group actions on rings at each conference. Housing accommodations will SuSAN MONTGOMERY (University of Southern be available on campus for those attending the California), Chairman conference, and daily meals will be served in a dining hall near the dormitories. A brochure describing July 15 to July 21 the facilities available at Bowdoin College will be Diophantine problems, including diophantine equations, available from the AMS office in March 1984. The diophantine approximation, and transcendency brochure will include information on firm room rates D. J. LEWIS (University of Michigan, Ann Arbor), and the residence and dining hall facilities, as well as Co-Chairman local information and a reservation form to be used W. M. SCHMIDT (University of Colorado, Boulder), for accommodations on campus. Each participant Co-Chairman will pay a registration fee, and a social fee to cover July 22 to July 28 the cost of refreshments served at breaks and for The Selberg trace formula and related topics social events. AuDREY TERRAS (University of California, San Those interested in attending one of the conferences Diego), Chairman should request an application form from Carole Kohanski, Summer Research Conference Coordinator, July 29 to August 4 American Mathematical Society, Post Office Box Linear algebra and its role in systems theory 6248, Providence, Rl 02940 (401-272-9500, extension BISWA NATH DATTA (Northern illinois University), 286), specifying which conference they wish to Chairman attend. Selection of the participants and approval of August 5 to August 11 participant support will be made by the Organizing Integral geometry Committee for each conference. Women and members ROBERT L. BRYANT (Rice University), Chairman of minority groups are encouraged to apply and to participate in these conferences. The deadline for August 12 to August 18 receipt of applications is January 16, 1984. Those who Complex differential geometry and non-linear differential wish to apply for a grant-in-aid should so indicate equations on the application form; however, funds available for Y. T. Sm (Harvard University), Chairman

77 1984 Summer Seminar The members of the Organizing Commitee are Darryl D. Holm, James M. Hyman, and Basil Nicolaenko In Applied Mathematics (chairman), all of the Center for Nonlinear Studies, Los Alamos National Laboratory. Members of the Advisory Committee are: Peter D. Lax, Courant Nonlinear Systems of PDE Institute, New York University; J. L. Lions, College in Applied Mathematics de France, Paris; Jerrold Marsden, University of California, Berkeley; David McLaughlin, University July 8-July 21, 1984 of Arizona; Louis Nirenberg, Courant Institute of the College of Santa Fe Mathematical Sciences, New York University; and Santa Fe, New Mexico Isadore M. Singer, University of California, Berkeley. In the early spring a brochure will be available The sixteenth AMS-SIAM Summer Seminar in Applied Mathematics will be held July 8-July 21, from the AMS office which will include a description 1984, and will take place at the College of Santa Fe, of the scientific program, as well as information Santa Fe, New Mexico. The seminar will be sponsored on the residence and dining hall facilities, with jointly by the American Mathematical Society and firm room and board rates, local information, and a the Society for Industrial and Applied Mathematics. reservation form to be used to obtain accommodations It is anticipated that it will be supported by a grant on campus. Each participant will pay a social fee from a federal agency. The topic Nonlinear systems to cover the cost of refreshments served at breaks of PDE in Applied Mathematics was selected by and for social events. There will also be a meeting registration fee. the AMS-SIAM Committee on Applied Mathematics whose members at the time were R. W. Brockett, Individuals may apply for admission to the seminar. John E. Dennis, Jr., Norman Lebovitz, Alan C. Application blanks for admission and/or financial Newell, (chairman), George C. Papanicolaou, and assistance can be obtained from the Meetings Depart­ R. S. Warming. ment, American Mathematical Society, P. 0. Box The seminar will address three major subtopics of 6248, Providence, Rhode Island 02940. The deadline nonlinear systems of partial differential equations in for return of applications is March 2, 1984. An applied mathematics: hyperbolic systems, completely applicant should have completed at least one year integrable systems, and evolutionary systems of non­ of graduate school and will be asked to indicate linear partial differential equations. Recent progress his or her scientific background and interest. A has been pushed by interrelated developments in graduate student's application must be accompanied dynamical systems theory, Hamiltonian structure, by a letter from his or her faculty advisor concerning and soliton theory. The interplay of these develop­ the applicant's ability and promise. Those who ments with the theory of hyperbolic systems and wish to apply for a grant-in-aid should so indicate; evolutionary systems will be stressed. however, funds available for the seminar are limited and individuals who can obtain support from other Lecture topics and speakers will be selected by sources should do so. the Organizing Committee and Advisory Committee.

Geometrical Methods in Congruence Modular Algebras cisely one point of intersection. This approach leads H. Peter Gumm to a simple geometric development of commutator theory for arbitrary congruences. Results about Abstract affine algebras on the one hand and about distribu­ The author develops a geometric approach to tive varieties on the other hand are tied together algebras in congruence modular varieties. The idea where only the commutator appears as a parameter. of coordinatization of lines in affine geometry finds For the extreme values of this parameter we find an almost perfect analog in the coordinatization of theorems about affine, nilpotent and solvable con­ algebras. The geometry is the congruence class gruences and varieties at one end and theorems gen­ geometry, i.e. the subspaces are the blocks of con­ eralizing Jonsson's lemma at the other end. A radical, gruence relations. ...[If, is defined and we show that Jonsson's lemma It is shown that congruence modularity guarantees is true for every algebra~~~ that the congruence class geometry behaves nicely, 1980 Mathematics Subject Classifications: 08610, 08605, because the Desarguesian and the Pappian theorems 08A30, 08A05. are true, if interpreted correctly. The innocuous Memoirs of the AMS looking "Shifting Lemma" is the basic and powerful Number 286, viii + 80 pages (soft cover) tool we need. List price $8, institutional member $6, The obstacle to a perfect coordinatization is a individual member $4 ISBN 0·8218·2286-1; LC 83·11810 congruence relation called the "commutator." The Publication date: September 1983 commutator is zero iff nonparallel lines have pre- To order, please specify MEM0/286N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

78 1984 Summer Research Institute (c) The program of Harvey and Lawson for the study of the calibrated associated to facets of the unit mass ball in exterior algebra. Geometrie Measure Theory (d) The program of Pitts for stability analysis and and the Caleulus of Variations further applications of variational methods in the large for higher dimensional problems; relevant to July 16-August 3, 1984 this line of research are Allard's new estimates for Humboldt State University arbitrary elliptic integrands. Arcata, California (e) The very recent results of White effectively reducing higher dimensional domain parametric The thirty-second Summer Research Institute mapping problems to the study of the structure s~onsored by the American Mathematical Society of singularities of minimizing currents, in the sense will be devoted to geometric measure theory and that when enough minimizing current regularity is the calculus of variations. It will take place at known the corresponding mapping problem is solved. Humboldt State University in Arcata California (f) The use of integral geometric and probabilistic from July 16 to August 3, 1984. Me:nbers of th~ methods in the variational calculus by Morgan, Nance Organizing Committee include William K. Allard and White, and the utilization of these methods in and F:e~erick J. Almgren, Jr. (co-chairmen), Enrico explicit machine computations by Parks and Super. Bombieri, Robert M. Hardt, H. Blaine Lawson, Jr., in the Jon T. Pitts, , and William P. Ziemer. Housing accommodations will be available and their It is anticipated that the institute will be partially campus residence halls for participants supported by a grant from the National Science families, and meals will be served daily in the Foundation. adjacent dining hall. Although the Humboldt campus is hilly and difficult for handicapped persons to The topic was selected by the 1983 Committee negotiate, facilities are accessible to the handicapped. on Summer Institutes, whose members were Michael to all who Artin, Thomas H. Brylawski, Robert Osserman In the spring a brochure will be mailed information (chairman), George C. Papanicolaou, Harold M. are invited to attend. It will include Stark, and Stephen Wainger. about the scientific program, the residence and dining facilities, firm room and board rates, as well as travel Many new ideas have been introduced recently and local information and a reservation form for into geometric measure theory and the calculus of housing accommodations at HSU. Each participant variations. Among the topics the institute will cover a social fee to cover the cost of refreshments are: will pay served at breaks and for social events, in addition to (a) The new regularity results of Almgren showing a meeting registration fee. Funds for support will be area minimizing integral currents in manifolds that limited and, therefore, it will be necessary for many singular sets of codimension at least two· have participants to obtain their own funds. Anyone who associated functional analysis which serves the a~ wishes to receive an invitation to participate in the a general tool for the study of general branching institute and/or be considered for financial assistance behavior; Solomon's application of some of this should write to Mrs. Dorothy Smith, American to give a new proof of the compactness analysis Mathematical Society, P. 0. Box 6248, Providence, theorem for integral currents. Rhode Island 02940 prior to April 16, 1984. The and applied (b) The complex of ideas introduced Organizing Committee will consider those r~quests by Schoen and Yau and others showing unexpected and applicants will be informed if funds are available connections between minimal surfaces and positive to provide support. in a variety of contexts.

CONTEMPORARY MATHEMATICS terns in two complex variables, while Delanghe and Sommen, Brackx and Pincket, and Lounesto investi· Plane Ellipticity and Related Problems gate hypercomplex function theory in Rn, that is the class of homogenic functions having values in a Robert P. Gilbert, Editor Clifford algebra. In this collection of papers concepts associated The remaining talks comprising this special meet­ with plane-ellipticity are extended in several ways. ing cannot be categorized as falling into a general For example, the investigations of Begehr and Gilbert, group, but rather explore isolated, albeit important, Begehr and Hsiao, Hile and Snyder treat systems of topics associated with ellipticity. elliptic partial differential equations in the plane which resemble in some sense the Cauchy-Riemann Contemporary Mathematics Volume 11, viii + 245 pages (soft cover) equations. Their point of view is to seek general List price $21, institutional member $16 representation formulas and to use these in some individual member $11 ' cases to solve boundary value problems. Continuing ISBN 0-8218-5012-1; LC 82·11562 with the theme of generalizing the Cauchy-Riemann Publication date: September 1982 equations, Buchanan treats the Bers· Vekua type sys· To order, please specify CONM/11 N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. ' 79 Invited Speakers June/July 1984 Meeting in Plymouth Eastern Section and Special Sessions Deadline for organizers: Ezpired Deadline for consideration: April 2, 1984 Invited Speakers at AMS Meetings Amatai Regev, Combinatorial ring theory The individuals listed below have accepted invita­ Jonathan Rosenberg, C*-algebras in topology/ge­ tions to address the Society at the times and places ometry indicated. For some meetings, the list of speakers is August 1984 Meeting in Eugene incomplete. Associate Secretary: Frank T. Birtel Notre Dame, April1984 Deadline for organizers: Ezpired Karel L. Prikry Deadline for consideration: May 15, 1984 Nigel J. Kalton William F. Schetter Ralph Cohen, Algebraic topology Paul G. Nevai November 1984 Meeting in Minneapolis Richmond, April1984 Central Section Bela Ballobas John J. Walsh Deadline for organizers: January 15, 1984 Thomas F. Banchoff Deadline for consideration: To be announced Plymouth, June 1984 Marian B. Pour-El, Logic November 1984 Meeting in San Diego David Catlin Jonathan Rosenberg Amatai Regev Far Western Section Eugene, August 1984 Deadline for organizers: January 15, 1984 Deadline for consideration: To be announced Ralph Cohen S.-Y. A. Chang, Classical harmonic analysis Ralph Greenberg Chuu-Lian Terng Carl Cunningham and David Lesley, Complex Yiannis Moschovakis David A. Vogan, Jr. analysis Paul H. Rabinowitz (Colloquium Lecturer) T. Enright and J. Wolf, Representations of semi­ Minneapolis, November 1984 simple Lie groups Jerry L. Bona Naresh C. Jain Fall1984 Meeting I. Martin Isaacs Stephen C. Milne Eastern Section Deadline for organizers: February 15, 1984 Organizers and Topics Deadline for consideration: To be announced of Special Sessions Fall1984 Meeting The list below contains all the information about Southeastern Section Special Sessions at meetings of the Society available Deadline for organizers: February 15, 1984 at the time this issue of the Notices went to the Deadline for consideration: To be announced printer. January 1985 Meeting in Anaheim The section below entitled Information for Organizers describes the timetable for announcing Associate Secretary: Hugo Rossi the existence of Special Sessions. Deadline for organizers: April15, 1984 Deadline for consideration: To be announced April1984 Meeting in Notre Dame March 1985 Meeting in Chicago Central Section Deadline for organizers: Ezpired Central Section Deadline for consideration: January 10, 1984 Deadline for organizers: June 15, 1984 Theodore S. Chihara, Orthogonal polynomials and Deadline for consideration: To be announced their applications April1985 Meeting in Tucson Barbara Cortzen, Ring theory Far Western Section Julia F. Knight, Model theory Deadline for organizers: July 15, 1984 N. Tenney Peck, Metric linear function spaces Deadline for consideration: To be announced T. K. Puttaswamy, Differential equations April1984 Meeting in Richmond Information for Organizers Southeastern Section Special Sessions at Annual and Summer meetings are held under the general supervision of the Program Deadline for organizers: Ezpired Deadline for consideration: January 16, 1984 Committee. They are administered by the Associate Secretary in charge of the meeting with staff assistance James K. Deveney, Field theory from the Society office in Providence. Wilbur Whitten, Low dimensional topology Some Special Sessions arise from an invitation to Tai Ping Liu, Applied mathematics a proposed organizer issued through the Associate

80 Special Sessions are effective at sectional meetings Send Proposals for Special Sessions to the and can usually be accommodated. They are arranged Associate Secretaries by the Associate Secretary under the supervision of The programs of sectional meetings are arranged by the Committee to Select Hour Speakers for the the Associate Secretary for the section in question: section. The limitation on the number of sessions depends on the space and time available. The same Far Western Section (Pacific and Mountain) restriction as for national meetings applies to the Hugo Rossi, Associate Secretary deadline for announcing Special Sessions at sectional Department of Mathematics meetings: no Special Session may be approved too Institute for Advanced Study late for its announcement to appear in time to Princeton, NJ 08540 allow a reasonable interval for members to prepare (Telephone 609-734-8157) and submit their abstracts prior to the special early Central Section deadline set for consideration of papers for Special Robert M. Fossum, Associate Secretary Presumptive Sessions. Department of Mathematics University of illinois Information for Speakers 1409 West Green Street Urbana, IL 61801 A great many of the papers presented in Special (Telephone 217 -333-3975) Sessions at meetings of the Society are invited papers, Eastern Section but any member of the Society who wishes to do W. Wistar Comfort, Associate Secretary so may submit an abstract for consideration for Department of Mathematics presentation in a Special Session, provided it is Wesleyan University received in Providence prior to the special early Middletown, CT 06457 deadline announced above and in the announcements (Telephone 203-347-9411) of the meeting at which the Special Session has been Southeastern Section scheduled. Frank T. Birtel, Associate Secretary Abstracts of papers submitted for consideration for Department of Mathematics presentation at a Special Session must be received Tulane University by the Providence office (Editorial Department, New Orleans, LA 70118 American Mathematical Society, Post Office Box (Telephone 504-865-5646) 6248, Providence, RI 02940) by the special deadline As a general rule, members who anticipate organizing for Special Sessions, which is usually three weeks Special Sessions at AMS meetings are advised to seek earlier than the deadline for contributed papers for approval at least nine months prior to the scheduled date the same meeting. The Council has decreed that no of the meeting. No Special Sessions can be approved too late to provide adequate advance notice to members paper, whether invited or contributed, may be listed who wish to participate. in the program of a meeting of the Society unless an abstract of the paper has been received in Providence Secretary. Others are spontaneously proposed by prior to the deadline. interested organizers or participants. Such proposals are welcomed by the Associate Secretaries. Call for Invitations The number of Special Sessions at a Summer or Annual Meeting is limited to twelve. Proposals, The undersigned Associate Secretary hereby invited or offered, which are received at least solicits invitations from institutions interested in nine months prior to the meeting are screened for serving as host to a future meeting (Eastern Section) suitability of the topic and of the proposed list of the Society. of speakers, and for possible overlap or conflict Among desirable characteristics for the site of a with other proposals (specific deadlines for requesting sectional meeting are: approval for Special Sessions at national meetings are (a) Accessibility via public transportation; given above). If necessary, the numerical limitation is (b) Availability of inexpensive food and lodging enforced. on or near campus; Proposals for Special Sessions should be submitted (c) Minimal cost (normally nil) to the Society for directly to the Associate Secretary in charge of the the use of classrooms and other facilities; and meeting (at the address given in the accompanying (d) A couple of energetic local mathematicians box). If such proposals are sent to the Providence willing to serve as an Arrangements Committee. office, addressed to the Notices, or directed to anyone other than the Associate Secretary, they will have Planning for a sectional meeting begins ap­ to be forwarded and may not be received before the proximately two years in advance of the meeting quota is filled. itself. At the moment we seek sites for meetings in the Spring and the Fall of 1985. Exact dates are In accordance with an action of the Executive flexible and negotiable. Committee of the Council, no Special Session may be arranged so late that it may not be announced in Exploratory correspondence may be addressed the Notices early enough to allow any member of the to W. W. Comfort, Associate Secretary, AMS, Society, who wishes to do so, to submit an abstract for Department of Mathematics, Wesleyan University, consideration for presentation in the Special Session Middletown, Connecticut 06457. before the deadline for such consideration.

81 Special Meetings

TillS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.

Fall 1983. Special Semester in Hodge Theory: Valley 27-29. Mathematical Association or America Annual Geometry Seminar, Amherst College, Amherst, Mas­ Meeting, Louisville, Kentucky. (October 1983, p. 672) sachusetts; Mount Holyoke College, South Hadley, Mas­ 30-February 3. Simulation Nummque en Mecanique dea sachusetts; Smith College, Northampton, Massachusetts; Fluidea par la Methode dea Elements Finis, Sophia­ University of Massachusetts, Amherst, Massachusetts. Antipolis, France. (October 1983, p. 669) Information: Institut National de Recherche en Infor­ 1983-1984. Academic Year Devoted to Problema on matique et en Automatique, Domaine de Voluceau, Iteration in Classical Real and Complex Analysis, The Rocquencourt, B. P. 105 78153, Le Chesnay, Cedex, Mittag-Leftl.er Institute, Djursholm, Sweden. (February France. 1983, p. 205) 1983. Special Year in Commutative Algebra and Al­ FEBRUARY 1984 gebraic Geometry, University of Illinois, Urbana, Illinois. 5-9. Australian Applied Mathematics Conference, Merim­ (November 1982, p. 699) bula, New South Wales, Australia. October 2, 1983-September 29, 1984. Mathematiscbes Information: Ashley Plank, AMC Conference Secretary, Forschungsinstitut Oberwolfach (Weekly Conferences), School of Information Sciences, Canberra College of Federal Republic of Germany. (October 1983, p. 669) Advanced Education, Box 1, Belconnen, ACT 2616, June Australia. 1Q-16. Ordnungsgeometrie und direkte Dift"erentialgeome­ 6-9. Second International Modal Analysis Conference, trie, Chairman: P. Scherk, Toronto. Orlando, Florida. (October 1983, p. 672) 1984. European Mechanics Colloquia, Various locations. 10. Lecture Series in Probability and Ita Applications, (November 1983, p. 798) Graduate School, Virginia Polytechnic Institute and State University, Blacksburg, Virginia. JANUARY 1984 Invited Speaker: Steven Stigler. Information: Yash Mittal, Department of Statistics, Virginia Polytechnic Institute and State University, 1-December 14. Symposium on Hyperbolic Geometry, Blacksburg, Virginia 24061. Kleinian Groups and Three-Dimensional Manifolds, University of Warwick, Coventry, England. (October 1983, 14-16. Twelfth Annual ACM Computer Science Con­ p. 671) ference, Franklin Plaza Hotel, Philadelphia, Pennsylvania. Themes: The themes for each of the three days will 6-10. NSF-CBMS Regional Conference on Some Global be: "Factory of the Future", "Coping with Small Problems Concerning Curvature or Riemannian Manifolds, Computers", and "Social and Ethical Implications of Polytechnic Institute of New York, Brooklyn, New York. Computers". (August 1983, p. 542) Invited Speakers: Speakers on the three themes include Karl 9-13. NSF-CBMS Regional Conference on Minimax Kemp (McDonnell-Douglas Automation), Ernest W. Methods in Critical Point Theory and Applications to Kent (National Bureau of Standards),and Mark S. Fox Dift"erential Equations, University of Miami, Coral Gables, (Carnegie-Mellon University); Lawrence Tesler (Apple Florida. (October 1983, p. 672) Computer Corporation), James H. Morris (Carnegie­ 16-19. Problemes Non Lineaires Appliques Stabilite et Mellon University), and Andries Van Dam (Brown Flambement, EDF, Cl&mart, France. University); and Daniel D. McCracken (City College of New York), Abbe Mowshowitz (Rensselaer Polytechnic Information: Institut National de Recherche en lnfor­ Institute) and Rob Kling (University of California at matique et en Automatique, Domaine de Voluceau, Irvine). Rocquencourt, B.P. 105 78153, Le Chesnay, Cedex, Information and Registration: Frank Friedman, ACM France. Computer Science Conference Chairman, Computer and 16-20. Symposium International "Signatures Micro-ondea Information Science Department, Temple University, en Teliidetection", Toulouse, France. (October 1983, p. 672) Philadelphia, Pennsylvania 19122, 215-787-1912.

82 16-17. Technical Symposium on Computer Science Educa­ 9-13. British Mathematical Colloquium, University of tion, Philadelphia, Pennsylvania. Bristol, Bristol, United Kingdom. (November 1983, p. 799) Sponsor: ACM Special Interest Group on Computer Science 11-13. Symposium on Theoretical Aspeets of Computer Education. Science, Paris, France. (October 1983, p. 672) Information: Richard H. Austing, Department of Computer Science, University of Maryland, College Park, Maryland 12-14. Estimation and Control of Distributed Systems, 20742, 301-454-2004. University of Arkansas, Fayetteville, Arkansas. Principal Lecturer: H. T. Banks, Brown University and MARCH1984 Southern Methodist University. Program: Professor Banks will give five lectures covering 5-7. "Math and Movies" -Mathematics and Audiovisual, the following topics: motivational examples and ap­ University of Torino, Italy. plications from the biological and engineering sciences; Organizers: M. Emmer, R. Arzarello. approximation schemes for delay systems: averaging, Information: R. Arzarello, Dipartimento di Matematica, Walsh, spline, and spectral methods; approximation Universita di Torino, Via Principe Amedeo 8, 10123 schemes for partial differential equations: spline, modal, Torino, Italy. and spectral methods; feedback control: numerical algo­ rithms and results; and parameter estimation: numerical 5-8. Fifteenth Southeastern Conference on Combinatories, algorithms and results. A tentative list of invited Graph Theory and Computing, Louisiana State University, Baton Rouge, Louisiana. speakers includes D. Audley, J. A. Burns, E. M. Cliff, P. L. Daniel, K. Ito, G. Rosen, D. Salamon, and M. Invited Lecturers: Paul ErdiSs (Hungar1an Academy of Vogelius. Sciences), William M. Kantor (), Paul Seymour (Massachusetts Institute of Technology), Deadline for Abstracts: February 15, 1984. and Robert Tarjan (Bell Laboratories). Information: V. L. Bakke, D. W. Brewer, Z. Jackiewicz, or Call for Papers: There will be sessions for fifteen-minute J. D. Tubbs, Department of Mathematical Sciences, 301 presentations of contributed papers. Abstract deadline Science-Engineering Building, University of Arkansas, is February 20, 1984. Fayetteville, Arkansas 72701, 501-575-3351. Information and Abstracts: K. B. Reid, Department of 12-14. Annual Leeture Seriea in the Mathematical Mathematics, Louisiana State University, Baton Rouge, Sciences: Estimation and Control of Distributed Systems, Louisiana 70803, 504-388-1665. Fayetteville, Arkansas. (October 1983, p. 672) 12-16. Seventeenth Annual Simulation Symposium, Bay 13-14. Dlinois Number Theory Conference, Illinois State Harbor Inn, Old Tampa Bay, Florida. (Oetober 1983, University, Normal, Illinois 61761. p. 672) Program: There will be one or two hour-long expository 19-21. International Conference on Numerical Analysis, lectures and 20-minute talks on current or proposed Technisehe Universitii.t , Munich, Federal Republic research. There will also be informal discussions. of Germany. (October 1983, p. 672) Call for Papers: Title and a one- or two-sentence abstract should be sent to the address below by March 25, 1984. 23-25. Conference on Diserete Groups in Geometry and Information: Charles Vanden Eynden, Department of Analysis, Yale University, New Haven, Connecticut. Mathematics, Illinois State University, Normal, Illinois Invited Lecturers: One-hour lectures will be given by 61761. P. Deligne, J. Igusa, R. Langlands, J. Millson, M. Mostow, Y. Siu, D. Sullivan, and R. Zimmer. 17-19. Sixth Colloque International sur la Programmation, Information: Roger Howe, Department of Mathematics, Toulouse, France. (October 1983, p. 672) Box 2155, Yale Station, New Haven, Connecticut 06520. 19-20. Fifteenth Annual Pittsburgh Conference on Model­ 26-30. Problemes Non Lineaires Appliques Elasto­ ing and Simulation, University of Pittsburgh, Pittsburgh, Plasticite, Rocquencourt, France. Pennsylvania. (October 1983, p. 672) Information: Institut National de Recherche en Infor­ 23-27. Conference Celebrating the Sixtieth Birthday of matique et en Automatique, Domaine de Voluceau, Profes10r Barish-Chandra, Institute for Advanced Study, Rocquencourt, B. P. 105 78153 Le Chesnay, Cedex, Princeton, New Jersey. (November 1983, p. 799) France. MA¥1984 APRIL 1984 1-4. Conference on the Mathematics of Finite Elements 2-4. Third ACM SIGACT-SIGMOD Symposium on and Applications, Uxbridge, Great Britain. (November Principles of Database Systema, Waterloo, Ontario, 1983, p. 799) Canada. (October 1983, p. 672) 2-4. Optimisation Daya 1984, Concordia University, 6-8. Interdisciplinary Conference on Shaping Space, Smith Montreal, Quebec, Canada. (November 1983, p. 799) College, Northampton, Massachusetts. Program: There will be lectures, exhibits, and workshops 4. Seventh UFEM Invitational Symposium on the addressing several related questions, including geometry Uniflcation of Finite Elements, Finite Dift'erences, and in scientific thought, the role of tactile and visual Calculus of Variation&, Harriet S. Jorgensen Theatre, perception in learning mathematics, current research University of Connecticut, Storrs, Connecticut. and unsolved problems in the theory of polyhedra, Program: The symposium will be dedicated to Professor and implications for high school and college geometry John H. Argyria, and will aim at presenting and unifying curricula. There will also be four sessions on the recent advances in numerical methods in engineering. following topics: model-building as hobby and profession; Information: H. Kardestuncer, Chairman, Seventh UFEM applications of polyhedra; theory of polyhedra; and Symposium, University of Connecticut, U-37, Storrs, unsolved problems. Connecticut 06268. Speakers: Speakers and workshop leaders will include: 4-6. Midwest Algebraic Geometry Conference, Purdue Peter Chieh, H. S. M. Coxeter, Douglas Dunham, University, West Lafayette, Indiana. (October 1983, p. 672) Arthur Loeb, Joseph Malkevitch, Jean Pedersen, Doris Schattschneider, Marion Walter, Magnus Wenninger, 7-11. ACM-IEEE Computer Society Tutorials for Profes­ Walter Whitely, Marjorie Senechal, George Fleck, Lee sional Development, Chicago, Illinois. (October 1983, Burns, and Robert Whorf. p. 672) Information: Marjorie Senechal, Clark Science Center, 13-17. Computer Graphics '84, Anaheim Convention Smith College, Northampton, Massachusetts 01063. Center, Anaheim, California. (October 1983, p. 672)

83 14--15. Sixth Symposium on Mathematical Program­ 18-20. International Conference on Qualitative Theory of ming with Data Perturbations, Marvin Center, George Differential Equations, University of Alberta, Edmonton, Washington University, Washington, D.C. Alberta, Canada. Call for Papers: Papers are solicited in the following Speakers: F. Atkinson (Toronto), D. Colton (Delaware), G. areas: sensitivity and stability analysis results and their Duff (Toronto), A. Lazer (Coral Gables), W. Loud applications; solution methods for problems· involving (Minneapolis), J. Mawhin (Belgium), M. Shinbrot implicitly defined problem functions; solution methods (Victoria), C. Swanson (Vancouver), H. Weinberger for problems involving deterministic or stochastic (Minneapolis). parameter changes; solution approximation techniques Call for Papers: Abstracts for 20-minute papers must be and error analysis. Abstracts of about 500 words, received at the address below by June 1, 1984. avoiding mathematical symbols and. references and Organizing Committee: W. Allegretto, G. Butler, L. Erbe, including name and full mailing address of each author, H. Freedman, J. Macki, R. Millar, J. Muldowney. should be sent in triplicate to the address below by Sponsor: Canadian Mathematical Society. March 16, 1984. Information: H. I. Freedman, Department of Mathematics, Information: Anthony V. Fiacco, School of Engineering and University of Alberta, Edmonton, Alberta, Canada. Applied Science, The George Washington University, 18-20. Twenty-sixth International Meeting of the In­ Washington, D.C. 20052. stitute of Management Sciences, Copenhagen, Denmark. 16-18. Colloque International sur Ia Modelisation et lea (November 1983, p. 799) Outils Logiciels d'Analyse de Perfonnance, Paris, France. 18-22. Sixth International Conference on Trends in the Information: Institut National de Recherche en Infor- Theory and Practice of Nonlinear Analysis, University of matique et en Automatique, Domaine de Voluceau, Texas at Arlington, Arlington, Texas. Rocquencourt, B.P. 105 78153, Le Chesnay, Cedex, Topics: Nonlinear evolution equations;. variational and France. topological methods; applied numerical analysis. Program: There will be survey lectures and talks on topics 17-18. IMACS International Symposium on Modelling and of current interest by invited speakers. There will also be Simulation of Electrical Machines and Converters, Liege, sessions for contributed papers and a session to discuss Belgium. (October 1983, p. 672) open problems and new directions. 28. Leeture Series in Probability and its Applications, Information and Abstracts: V. Lakshni.ikantham, Depart­ Graduate School, Vrrginia Polytechnic Institute and State ment of Mathematics, University of Texas at Arlington, University, Blacksburg, Virginia. Box 19408, Arlington, Texas 76019. Invited Speaker: K. L. Chung. 19-21. Sixieme Conference Internationale Analyse et Information: Yash Mittal, Department of Statistics, Optimisation des Systemes, Nice, France. Virginia Polytechnic Institute and State University, Information: Institut National de Recherche en Infor­ Blacksburg, Virginia 24061. matique et en Automatique, Domaine de Voluceau, Rocquencourt, B.P. 105 78153 Le Chesnay, Cedex, 26-June 1. Simulation Numerique de Ia Turbulence, France. Sophia-Antipolis, France. 19-21. Fifth IMACS International Symposium on Com­ Information: Institut National de Recherche en Infor­ puter Methods for Partial Dift"erential Equations, Lehigh matique et en Automatique, Domaine de Voluceau, University, Bethlehem, Pennsylvania. (October 1983, Rocquencourt, B.P. 105 78153, Le Chesnay, Cedex, p. 673) France. 20-22. Fourteenth International Conference on Fault­ 28-June 1. Sixteenth Yugoslav Congress of Theoretical Tolerant Computing, Hyatt Orlando Hotel, Kissimmee, and Applied Mechaniea, Bemci, Yugoslavia. (November Florida. (November 1983, p. 799) 1983, p. 799) 20-22. Third International Conference on Boundary and Interior Layers (BAIL m), Dublin, Ireland. (October 1983, p. 673) JUNE 1984 25-29 .. Eighth Dundee Conference on the Theory of Ordinary and Partial Differential Equations, Dundee, 4--8. Fifth International Conference on the Theory Scotland. and Applications of Graphs, With Special Emphasis Information: R. J. Jarvis, Department of Mathematical on Computer Science Applications, Western Michigan Sciences, The University, Dundee DDl 4HN, Scotland. University, Kalamazoo, Michigan. (June 1983, p. 438) 25-29. International Workshop on Applied Optimisation 6-8. 1984 American Control Conference, San Diego, Techniques in Energy Problems, Linz, Austria. (November California. (October 1983, p. 673) 1983, p. 800) 10-14. Conference on Global Ditl'erential Geometry-Global 25-July 6. La Mecamque Non Lineaire, Breau sans Nappe, Analyaia, Technical University Berlin, Berlin, Federal France. Republic of Germany. (November 1983, p. 799) Information: Institut National de Recherche en Infor­ matique et en Automatique, Domaine de Voluceau, 12-14. SIAM Conference on Numerical Optimisation, Rocquencourt, B.P. 105 78153, Le Chesnay, Cedex, Broker Inn, Boulder, Colorado. France. Topics: Topics covered will include mathematical software 26-July 7. Canadian Mathematical Society Summer for optimization, techniques for dealing with nonlinear Seminar on Lie Algebras and Related Topics, University constraints, and algorithms for finding global optima. of Windsor, Windsor, Ontario, Canada. Deadline for Abstracts: February 1, 1984. Program: The conference is intended as a high-level Information: Meetings Arrangements, Society for Industrial introduction to some of the recent developments in the I!Jld Applied Mathematics, 117 South 17th Street, theory of Lie algebras (finite and infinite dimensional, Philadelphia, Pennsylvania 19103, 215-564-2929. characteristic zero and modular), their representations, associated combinatorial structures, formal Lie groups, 12-14. Tenth International Symposium on Machine and related topics. In addition to the invited talks, Processing of Remotely Sensed Data, Purdue University, there will be sessions for the presentations of contributed West Lafayette, Indiana. (October 1983, p. 673) papers.

84 Speakers: W. Borho, M. Hazewinkel, J. Lepowsky, I. G. Invited Speakers: Roger Lyndon (University of Michigan), MacDonald, B. Allison, G. Benkart, R. Block, V. James Howie (University of Glasgow), G. P. Scott Deodhar, I. Frenkel, J. Humphreys, J. McKay, M. (University of Liverpool), B. Eckmann (E.T.H., Zurich), Osborn, J. Patera, L. Solomon, R. Stanley, D. Vogen, (University of Texas), John Hempel R. Wilson, D. Winter, H. Zassenhaus. (Rice University), and possibly one other speaker. Organizing Committee: D. Britten, F. Lemire (University of Support: A National Science Foundation grant has been Windsor), R. Moody (CRMA Universite de Montreal), applied for. M. Racine (Universite d'Ottawa). Information: S. N. Gersten, Department of Mathematics, Information: Lie Algebra Conference, Department of University of Utah, Salt Lake City, Utah 84112, or John Mathematics, University of Windsor, Windsor, Ontario, R. Stallings, Department of Mathematics, University of Canada, N9B 3P4, 519-253-4232. California at Berkeley, Berkeley, California 94120. 27-29. Aspects Semantiques de Ia Notion de Types, 16--20. Society for Industrial and Applied Mathematics Sophia-Antipolis, France. National Meeting, University of Washington, Seattle, Information: Institut National de Recherche en Infor­ Washington. matique et en Automatique, Domaine de Voluceau, Topics: Classical applied mathematics; numerical analysis; Rocquencourt, B.P. 105 78153, Le Chesnay, Cedex, scientific computing; applications (especially robotics, France. CAD/CAM, computational statistics). Deadline for Abstracts: February 15, 1984. JULY 1984 Information: Meetings Arrangements, Society for Industrial and Applied Mathematics, 117 South 17th Street, 2-6. Gordon Research Conference on Theoretical Biology Philadelphia, Pennsylvania 19103, 215-564-2929. and Biomathematics, Colby-Sawyer College, New London, 16--27. Fifth International Conference on Probability in New Hampshire. Banach Spaces, Tufts University, Medford, Massachusetts. Theme: Dynamics in Biology. Program: The conference will emphasize current research Topics: Transduction and adaptation (e.g. in vision and as well as applications of probability in Banach space hearing), chemotaxis, neural dynamics, mechanical techniques to problems in statistics and analysis. There models of development, biomotility; also the use of will be mini-courses on: Empirical Processes (R. M. mathematical modelling in modern molecular genetics. Dudley, M.I.T.); Large Deviations (N. Jain, Minnesota); Invited Speakers: Leroy Hood (California Institute of and Probabilistic Methods in Harmonic Analysis (G. Technology); Walter Goad (Los Alamos National Pisier, Paris). Laboratory); Michael Zuker (National Research Council Speakers: (Tentative). S. Berman (Courant Institute); L. of Canada); Bruce Levin (University of Massachusetts); LeCam (Berkeley); W. Johnson (Ohio State); P. Revesz Sally Zigmond (University of Pennsylvania); Douglas (Budapest); H. Rosenthal (University of Texas, Austin); Lauffenburger (University of Pennsylvania); Albert and D. Stroock (University of Colorado). Goldbeter (University Libre de Bruxelles); Hans Othmer Organizing Committee: A. Beck and J. Kuelbs (University (University of Utah); Walter Heiligenberg (University of of Wisconsin, Madison), R. M. Dudley (Massachusetts California at Los Angeles); Rudolfo Llinas (New York Institute of Technology), M. G. Hahn (Tufts University), University Medical Center); Avis H. Cohen (Cornell and M. B. Marcus (Texas A&M University). University); Philip J. Holmes (Cornell University); Information: Marjorie G. Hahn, Department of Mathe­ lllani Atwater (University of East Anglia); John matics, Tufts University, Medford, Massachusetts 02155, Rinzel (National Institutes of Health); John Campbell 617-628-5000, ext. 2368. (University of California at Los Angeles); Stephen 16--27. Seventh Latin American School of Mathematics, Wolfram (Institute for Advanced Study); J. D. Murray Universidad Simon Bolivar, Caracas, Venezuela. (); George F. Oster (University of California); Gary M. Odell (Rensselaer Polytechnic Program: The School will be devoted to dynamical systems Institute); Mark Bitensky (Los Alamos National and geometrical aspects of partial differential equations. Laboratory); Charles Peskin (Courant Institute); A. J. There will be invited talks, lecture series on advanced Hudspeth (University of California School of Medicine); topics, and introductory courses on the following Richard Skalak (Columbia University). topics: bifurction theory (J. Sotomayor); mechanics and symplectic geometry (L. Recht and E. Planchart); Information: Nancy Kopell, Department of Mathematics, Fourier integral operators (G. Mendoza); and geometry Northeastern University, Boston, Massachusetts 02115, of the spectrum (C. Berenstein). Contributed papers are or Alan Perelson, Los Alamos National Laboratory, MS invited. M710, Los Alamos, New Mexico 87545. Invited Speakers: A. Calderon, C. Camacho, J. Franks, 2-11. Canadian Mathematical Society Summer Seminar V. Guillemin, A. Katok, R. Maiie, R. Melrose, S. on Algebraic Geometry, University of British Columbia, Newhouse, J. Palis, ·D. Ruelle, D. Sullivan, F. Takens Vancouver, Canada. (October 1983, p. 673) and others. 8-14. Gatlinburg IX: Householder-Gatlinburg Meeting Information: L. Lara-Carrero, Coordinador VII ELAM, on Numerical Algebra, Waterloo, Ontario, Canada. Departamento de Matematicas, U.S.B., Apartado 80659, (November 1983, p. 800) Caracas 1080-A, Venezuela. 9-12. Twelfth Annnal National Computer Conference, Las 23-27. Conference on Complex Analysis and Approxima­ Vegas, Nevada. (November 1983, p. 800) tion Theory, State University of Campinas, Campinas, Siio Paulo, Brazil. (November 1983, p. 800) 9-13. Conference on Modern Algebraic Methods-Rings and Modules, Ceske Budi!jovice, Czechoslovakia. 23-August 8. NATO-ASI Conference on Computational Mathematical Programming, Bad Windsheim, Federal Information: L. Bican, Charles University, MFF, Republic of Germany. (November 1983, p. 800) Sokolovska 83, 18600 Praha 8, Czechoslovakia. 23-August 10. Seminaire de Mathematiquea Superieurea­ 11-14. Conference on Universal Algebra and Lattice NATO Advanced Study Institute (SMS-NATO ASI) on Theory, The Citadel, Charleston, South Carolina. (October Universal Algebra and Relations, Universite de Montreal, 1983, p. 673) Montreal, Quebec, Canada. 15-18. Conference on Combinatorial Group Theory and Sponsors: NATO Advanced Study Institutes Program; Very Low Dimensional Topology, Alta Lodge, Alta, Utah. Ministry of Education of Quebec; Natural Sciences and Or.ganizers: S. N. Gersten (University of Utah), John R. Engineering Research Council of Canada; Universite de Stallings (University of California at Berkeley). Montreal.

85 Program: The lattice of clones in universal algebra and Program: There will be one-hour invited addresses and 20- relations; theory of relations and relation algebras; minute contributed papers on the theory of nonlinear and certain aspects of lattice theory. There will be oscillations, theory of differential equations and their introductory courses on the above subjects, followed by applications. The invited speakers will be announced seminars on recent developments. later. Principal Speakers: T. Evans (Emory); R. Fraisse Topics: Analytic methods; qualitative methods; numerical (Marseille); G. A. Gratzer (Manitoba); B. Jonsson methods, algorithms and program packages; application (Vanderbilt); M. Pouzet (Lyon); R. W. Quackenbush in optimal control; application in mechanics, electronics (Manitoba); I. B. Rosenberg (Montreal); A. Szendrei and electrotechnique; application in biomechanics, (Szeged); R. Wille (Darmstadt). biology and economics; experimental methods and Information: SMS-NATO ASI, Departement de research devices. mathematiques et de statistique, Universite de Montreal, Deadline for Abstracts: A one-page camera-ready abstract C.P. 6128, Montreal H3C 3J7, Canada. in English or Russian should be sent not later than below. 24-27. International Congress on Computational and March 31, 1984, to the address Applied Mathematies, University of Leuven, Belgium. Information: S. Grosdev, Institute of Mechanics and (February 1983, p. 210) Biomechanics, ICNO X, 1090 Sofia, P.O. Box 373, Bulgaria. 25-August 4. Edinburgh Mathematieal Colloquium, University of St. Andrews, Scotland. (October 1983, OCTOBER 1984 p. 673) 15-17. Soeiety of Engineering Seienee Annual Meeting, AUGUST 1984 Blacksburg, Virginia. (November 1983, p. 800) 1-3. Fifth ASCE-EMD Speeialty Conferenee: Engineering 15-18. International Symposium on Orthogonal Polyno­ Meehaniea in Civil Engineering, University of Wyoming, mials and their Applieations, Bar-le-Duc, France. (October Laramie, Wyoming. (November 1983, p. 800) 1983, p. 673) 19-25. Sixteenth International Congre88 of Theoretieal 25-28. Ameriean Mathematical Assoeiation of Two-Year and Applied Meehanies, Lyngby, Denmark. (October 1983, Colleges' Annual Convention, New York, New York. p. 673) (November 1983, p. 800) 24-30. Fifth International Congress on Mathematies Edueation, University of Adelaide, Australia. (June 1982, pp. 331, 376; November 1983, p. 800) ****** 27-31. COMPSTAT 1984: Sixth Symposium on Computa­ tional Statiaties, Prague, Czechoslovakia. (November 1983, AUGUST 1986 p. 800) 3-11. International Congress of Mathematicians, Berkeley, California 94720. SEPTEMBER 1984 Information: ICM-86, P. 0. Box 6887, Providence, Rhode 16-23. Tenth International Conferenee on Nonlinear Island 02940. Oseil!ationo, The International House of Scientists "J. Curie", Varna, Bulgaria. Purpose: The purpose of the conference is to bring together a group of persons from a diverse background of dis­ ciplines, such as mathematics, mechanics, biomechanics, physics, biology, theoretical chemistry, industry, and economics; to summarize the state of the art and knowledge concerning nonlinear oscillations and to promote discussions of various theories and concepts.

LP Roundedness of solutions of strictly hyperbolic partial differential Fourier Integral Operators equations. R. Michael Beals CONTENTS 1. Multipliers e-i

86 New AMS Publications

AMS Book Orders-Toll Free Number For Users of VISA, MasterCard. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attended from 8:00 a.m. to 4:15 p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901. A reminder: the individual member rate applies to the purchase of one copy of any book for personal use, and is not an alternative means of lowering costs for libraries.

REFERENCE WORKS Subject Index iv + 41 3 pages (soft cover} List price $300, institutional member $240 Mathematical Sciences ISBN 0-8218-0081-7; LC 42-4221 Professional Directory Publication date: December 1983 (previously Mathematical Sciences To order, please specify MREVIN/40/58N An author index for the 1940-1959 Mathematical Administrative Directory) Reviews volumes is also available either separately or This directory, published annually, lists key per­ at a special combined price for both the subject and sonnel-officers and committee members-of over author indexes. thirty professional mathematical organizations and Author Index of a selected group of government agencies, editors 2201 pages (soft cover} List price $350, institutional member $280 of over 100 journals, over 3,000 heads of academic ISBN 0-8218-0024-0 departments in the mathematical sciences, and heads Publication date: 1961 of mathematical units in nonacademic organizations. To order, please specify MREVIN/40/59 Information includes current addresses (including Special combined price, author and subject indexes: telephone numbers in many cases), terms of office, Combined Indexes and other pertinent information for the organiza­ List price $500, institutional member $400 tions represented. To order, please specify MRCIN/40/59 Mathematical Sciences Professional Directory A subject index for the years 1959-1972 will be 1984 Volume, about 112 pages (soft cover} published later in 1984. Price $14 ISBN 0-8218-0064-7 Publication date: February 1984 To order, please specify ADMDI R/84N CONTEMPORARY MATHEMATICS (ISSN 0271-4132} Alphabetical Subject Index Value Distribution Theory of Mathematical Reviews, and Its Applications 1940-58 (Volumes 1-19) Chung-Chun Yang, Editor

J. L. Selfridge, Editor In April of 1983 a special session on value distri­ With the publication of the 1973-1979 author bution theory and its applications was held in New and subject indexes to Mathematical Reviews, the York City as part of the 803rd meeting of the AMS. desirability of subject indexing for the earlier years The purpose of this session was to bring together of MR became clear. Prior to 1959 an alphabetical some of the mathematicians working in this active subject index was published each year. field, to present the results of their research, to ex­ We are pleased to announce that we have com­ plore and exchange problems among themselves and bined these yearly subject indexes into a single to stimulate further research in this area. volume. Recently there have appeared numerous articles Most of the main alphabetical headings from the on the beautiful and classical Nevanlinna value dis­ original indexes were kept and all the subheadings tribution theory and its applications. This book con­ have been alphabetized under each main heading. tains many generalizations, new approaches, new The original cross-references have been augmented techniques, and new conjectures for some old and by cross-references from each major word in any well-known results relating to value distribution main heading or subheading. Both the MR volume theory. More specifically it covers topics in general number and year are listed above each list of author theory on growth estimation of entire solutions of names and page numbers. algebraic differential equations, entire functions of

87 bounded index, distributions of zeros of merom orphic ERRATUM functions, factorization theory, defect relations for In the October issue of Notices, in the New Pub­ small functions (in one variable and several variables), lications section, two titles contained errors. On page and holomorphic curves. 676 the correct title is Factorizations of bn ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to High Powers. Contributors to this Volume On page 677, the correct title is Chapter 9 of Ram­ Chi-Tai Chuang, Peking University, China anujan's Second Notebook: Infinite Series Identities, Matts R. Essen, University of Uppsala, Sweden Transformations, and Evaluations. Albert Edrei, Syracuse University Fred Gross, University of Maryland, Baltimore County, and Naval Research Laboratory Yong-Xing Gu, Nan~Chun Normal College, China Yu-Zan He, Institute of Mathematics, Academia Sinica, Beijing, China RECENT REPRINTS Simon Hellerstein, University of Wisconsin, Madison DYNAMICAL SYSTEMS Jun-Shung Hwang,.lnstitute of Mathematics, Academia by G. D. Birkhoff Sinica, Taiwan Colloquium Publications, Volume 9 James K. Langley, University of Illinois, Urbana- 313 pages (ISBN 0·8218·1009-X) (soft cover) Champaign 1927; revised 1966, reprinted 1983 institutional member $20, Peter A. Lappan, Michigan State University List price $26, individual member $13 Lennox S. 0. Liverpool, jos University, Nigeria To order, please specify COLL/9N Seiki Mori, Yamagata University, Yamagata, japan Kiyoshi Niino, Kanazawa University, japan GLOBAL ANALYSIS, PART Ill Charles F. Osgood, Naval Research Laboratory John Rossi, Virginia Polytechnic Institute, and State edited by S. S. Chern and S. Smale Proceedings of Symposia in Pure Mathematics University Volume 16,250 pages (ISBN 0·8218-1416-8) Ranjan Roy, Beloit College 1970; reprinted 1983 (soft cover) S. M. Shah, University of Kentucky List price $31, institutional member $23, Daniel F. Shea, University of Wisconsin, Madison individual member $16 Li-Chien Shen, California Institute of Technology To order, please specify PSPUM/16N Leonard M. Smiley, University of Alaska Guo-Dong Song, Cornell University Charles S. Stanton, University of North Carolina SPECIAL FUNCTIONS AND THE THEORY Shlomo Strelitz, University of Haifa, Israel OF GROUP REPRESENTATIONS Nobushige Toda, Nagoya Institute of Technology, N. Ja. Vilenkin japan translated by V. N. Singh Finland Sakari Toppila, University of Helsinki, Translations of Mathematical Monographs Chia-Chi Tung, Mankato State University Volume 22,613 pages (ISBN 0·8218·1572-5) Jack Williamson, University of Hawaii 1968; reprinted 1983 (soft cover) Xiuzhi Xiao, Wuhan University, China List price $50, institutional member $38, Nino Yanagihara, Chiba University, japan individual member $25 To order, please specify MMON0/22N Chung-Chun Yang, Naval Research Laboratory Kenneth B. Yuguda, University of jos, Nigeria 1980 Mathematics Subject Classifications: 30Dxx, 32Axx, GEOMETRY 30D30,30D35, 32A22 DIFFERENTIAL Contemporary Mathematics edited by C. B. Allendoerfer Vol. 25, x + 253 pages (soft cover) Proceedings of Symposia in Pure Mathematics List price $28, institutional member $21, Volume 3, 200 pages (ISBN 0-8218·1403-6) individual member $14 1961; reprinted 1983 (soft cover) ISBN 0·8218-5025·3; LC 83-21465 List price $26, institutional member $20. Publication date: january 1984 individual member $13 To order, please specify CONM/25N To order, please specify PSPUM/3N

Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

88 Miscellaneous

Personal Items Makoto Itoh of Hiroshima, Japan, died on January 7, 1983 at the age of 81. He was a member of the F. Rudolf Beyl of the University of Oldenberg, Society for 21 years. Federal Republic of Germany, has been appointed Szolem Mandelbrojt of the College de France in to an assistant professorship at Portland State Paris, died on September 23, 1983 at the age of 83. University. He was a member of the Society for 42 years. Frank P. Engel of Daniel H. Wagner, Associates Leonard Proeita of Albany, New York, died on has been promoted to Vice President. March 25, 1983 at the age of 63. He was a member David C. Kay of the University of Oklahoma of the Society for 21 years. has been appointed professor of mathematics and chairman of that department at the University of Visiting Mathematicians North Carolina, Ashevillle. (Supplementary List) Eugene M. Luks of the University of Oregon has been appointed professor and head of the Mathematicians visiting other institutions during Department of Computer and Information Science at the 1983-1984 academic year have been listed in that university. recent issues of the Notices: June 1983, pages 450- 452; August 1983, pages 550-552; October 1983, Blaise G. Morton of Dartmouth College has joined pages 685-686; and November 1983, page 804. The the Paoli Office of Daniel H. Wagner, Associates. list below gives the name and home country, the host George D. Mostow, Henry Ford II Professor of institution, period of visit, and field of special interest Mathematics at Yale University, has been elected to of additional visiting mathematicians. the Board of Trustees of the Institute for Advanced Vieri Benei (Italy), University of Wisconsin, Study. Madison, August 1983 to May 1984, applied analysis. Mark A. O'Donnell of the University of California, P. B. Bhattacharya (India), Ohio University, Davis has joined the Yorktown Office of Daniel H. Athens, September 1983 to April 1984, abstract Wagner, Associates. algebra. Henry B. Potoezny of the Air Force Institute S. R. Nagpaul (India), Ohio University, Athens, of Technology, Wright-Patterson Air Force Base, September 1983 to April 1984, abstract algebra, Ohio has been appointed to a professorship at that applied algebra. institution. Mamoru Nunokawa (Japan), University of Missis­ Walter R. Stromquist of the Paoli Office of Daniel sippi, October 1983 to July 1984, complex analysis. H. Wagner, Associates has been promoted to Senior Associate. Lee N. Rudolph (U.S.A.), University of Geneva, Switzerland, October 1983 to July 1984, braids; Ellen M. Torrance, a Fellow of the Society of topology of complex surfaces. Actuaries since November 1982, formerly with the New York Life Insurance Company is now a free-lance Devendra Prasad Shukla (India), University of consultant. Wisconsin, Madison, January 1984 to December 1984, analysis, algebra. Deaths Michael Stob (U.S.A.), University of Wisconsin, Madison, August 1983 to May 1984, mathematical Edmund H. Feller of the University of Wisconsin, logic. Milwaukee, died on June 17, 1983 at the age of 59. Rastislav Telgarsky (Poland), Virginia Polytech­ He was a member of the Society for 31 years. nic Institute and State University, September 1983 to August 1984, topology, game theory.

89 Erratum to the 1983-1984 Combined Membership List

In the Alphabetic Listing of Individual Members affiliated with Brooklyn Center of Long Island section of the 1983-1984 Combined Membership University. The corrected listings are given below. List, the members who are affiliated with Brooklyn The AMS staff offers its apologizes for any College (CUNY) were incorrectly listed as being inconvenience this error may have caused.

ALPHABETIC LISTING OF INDIVIDUAL MEMBERS

IF NO DEPARTMENT IS SPECIFIED WITH ACADEMIC MAILING ADDRESS, DEPARTMENT OF MATHEMATICS IS TO BE ASSUMED

ALLEN, HOWARD • Brooklyn Coli {CUNY), GRIFFIN, HARRIET M • 627 A Lake Point LIPSEY, SALLY I • Brooklyn Coli (CUNY), SIBNER, ROBERT J • Brooklyn Coli Brooklyn, NY 11210 • Asso Prof (180- Dr, Lakewood, NJ 08701 • Brooklyn Coli Brooklyn, NY 11210 • Asso Prof (180- {CUNY), Brooklyn, NY 11210 • Prof ((212) 5246) SA (CUNY) SA 5246] SA 255-4538] s BECKMAN, FRANK S • 16 Garwood Rd, HALPERN, NOEMI • 4705 14th Ave, LOVETT, CARL J • 387 Sixth 51, Brooklyn, SNOW, MARTIN • 1544 E 24th 51, Fair Lawn, NJ 07410 • Prof, Brooklyn Coli Brooklyn, NY 11219 • Asst Prof, Brooklyn NY 11215 • Asso Prof, Brooklyn Coli Brooklxn. NY 11210 • Brooklyn Coli (CUNY), Chmn, Comp A Wo Sci )212-780- Coli (CUNY) (180-5246) SA (CUNY) A {CUNY) A 5657] SAl HARROW, KEITH • Brooklyn ~CUNY), MARATHE, KISHORE B • Brooklyn Coli SNOW, WOLFE • Brooklyn Coli (CUNY), BLOOM, DAVID M • Brooklyn Coli {CUNY), (CUNY), Brooklyn, NY 11210 • Asso Brooklyn, NY 11210 • Asst Prof A Brooklyn, NY 11210 • Prof A ~~: ~o':~:i:. W; f:~10 :rdA!: Prof SAl SPATZ, IAN N • Brooklyn Coli (CUNY), BOOTH, GEORGE W • Brooklyn Coli Prof A MARIA, MAY H {MRS) • 800 E 17th St, Brooklyn, NY 11210 • Asst Prof SA CUNY), Brooklyn, NY 11210 • Asso Prof HENNEFELD, JULIEN 0 • Brooklyn CoD #SA, Brooklyn, NY 11230 • Retired, SPRUCK, JOEL • Brooklyn Coli (CUNY), I(212)377-23M] Sl {CUNY), Brooklyn, NY 11210 • Asso Brooklyn Coli (CUNY) SA Bedford Ave A Ave H, Brookl_yn, N~ 11210 BOROFSKY, SAMUEL • 43 Humming Bird Prof S MATE, ATTILA • Brooklyn Coli (CUNY), • Prof, Brooklyn Coli {CUNY) S Dr, East HiHs, NY 11576 • Retired Prof, HOCHBERG, MURRAY • 1182 E lOth 51, Bedford Ave A Ave H, Brooklyn, N~ 11210 STERBENZ, PAT H • 34 Orchard Rd, Brooklyn Coli (CUNY) SA Brooklyn, NY 11230 • Asso Prof, Brooklyn • Asso Prof (Office: 212-780-5936) SA Larchmont, NY 10538 • Comp Sci, FORMAN, WILLIAM • Brooklyn Coli Coli (CUNY) SA MCALOON, KENNETH • 431 First Ave, Brooklyn Coli (CUNY) SAl {CUNY), Brooklyn, NY 11210 • Prof )212- JANTOSCIAK, JAMES S • Brooklyn Coli Pelham, NY 10803 • Asso Prof, Brooklyn STONE, DAVID A • Brooklyn Coli (CUNY), CUNY), Brooklyn, NY 11210 • Asso Prof Brooklyn, NY 11210 • Prof S 251-2684] SA \ Coli (CUNY) S GARDINER, FREDERICK P • 7 Second PI, (212) 780-5246) SA MILLER, WILLIAM E • Brooklyn Coli STRASSFELD, BRENDA C • 1642 E 3rd St, Brooklp!, NY 11231 • Prof, Brooklyn Coli JORDAN, MEYER • Brooklyn Coli (CUNY), {CUNY), Brooklyn, NY 11210 • Lect A Brooklxn, NY 11230 • lnstr, Brooklyn Coli {CUNY) )Office: 212-780-5246) S Brooklyn, NY 11210 • Prof A PARIKH, ROHIT J • Brooklyn Coli (CUNY), {CUNY) S GEDDES, DOROTHY C • 137-35 75th Rd, KOHN, MARVIN J • Brooklyn Coli (CUNY), Dapt of Comp A Info Sci, Bedford Ave & TRETKOFF, CAROL • 43 Brook Dr E, Aushinp. NY 11367 • Prof, Brooklyn Coli Brooklyn, NY 11210 • Prof Jollice:212- Ave H, Brooklyn, NY 11210 • S Kingston, NJ 08528 • Asst Prof, Brooklyn {CUNY) A 7BD-5259] SA PRENOWITZ, WALTER • 239 E 79th Coli (CUNY) (609-924-5185) SA GEWIRTZ, ALLAN • 63 Blenheim Rd, KWAK, NOSUP • Brooklyn Coli (CUNY), St, New York, NY 10021 * Prof Erner, WAJNGURT, CLARA • 5932 Liebig Ave, Brooklyn Coli {CUNY) (Home: 212-861- Bronx, NY 104n • Brooklyn Coli ~JI= NJ 07726 • Prof, Brook~A Brooklyn, NY 11210 • SA (CUNY) S LAUFER, PINCHUS M • 625 Empire Blvd, 7494) SA WOODBRIDGE, MARGARET Y {MRS) • GITTINGS, RAYMOND F • Brooklyn Coli Balyn, NY 11213 • Grad Follow, Brooklyn RIESENBERG, NATHANIEL R • P 0 Box 169 Columbia Heights, Brooklyn, NY 11201 CUNY), Brooklyn, NY 11210 • Asso Prof Coli (CUNY) A 627, Mineola, NY 11501 • Asst Prof, • Asso Prof, Brooklyn Coli (CUNY) SA IOffice: 780-5272] S LEVENSON, MORRIS E • Brooklyn Coli Brooklyn Coli {CUNY) SA GLICK, NOEL V • 1255 44th St, Brooklyn, (CUNY), Brooklyn, NY 11210 • Prof SA SHAPIRO, GEORGE S • Brooklyn Coli NY 11219 • Asst Prof, Brooklyn Coli (CUNY), Bedford Ave A Ave H, Brooklyn, {CUNY) SA NY 11210 • Asso Prof A Chprsn [oftice:212-780-5246] SA

90 AMS Reports and Communications

Recent Appointments Lecturers for 1985 and 1986. Professor Pour-El will serve as chairman. Committee members' terms of office on standing President Julia B. Robinson has appointed Edward committees expire on December 31 of the year George Effros {1986), Charlotte Lin {1986), and given in parentheses following their names, unless Robert R. Phelps {1986) to the Committee on otherwise specified. Academic Freedom, Tenure, and Employment Security. Martin D. Davis {1984) has been appointed Raymond G. Ayoub and W. Dale Brownawell were chairman. Other members of the committee are appointed by President Julia B. Robinson to be the James E. Joseph {1984) and Halsey L. Royden {1985). tellers in the election of 1983. Stefan A. Burr {1986) and Gerald J. Janusz {1986) Richard E. Ewing {1986) has been appointed by have been appointed by President Julia B. Robinson to the Committee on Employment and Educational President Julia B. Robinson to the Proceedings Policy. Continuing members of the committee are of Symposia in Applied Mathematics Committee. Lida K. Barrett {1985), Lis! Novak Gaal {1985), Irwin Continuing members of the committee are William A. Kra {1984), and Donald C. Rung {1984) who has been Massey {1985) and Lloyd R. Welch, chairman {1984). reappointed chairman. Kenneth J. Barwise {1986) and William P. {1986) and Joshua A. Leslie {1986) Ziemer {1986) have been appointed to the Program have been appointed to the Committee on Human Committee for National Meetings by President Rights of Mathematicians by President Julia B. Julia B. Robinson. Continuing members of the Robinson, and Chandler Davis {1986) has been committee are Robion C. Kirby {1984), Barry Mazur reappointed to the committee and as chairman. {1985) Everett Pitcher (ex officio), Other members of the committee are Leon A. Henkin {1985), and Melvin Hochster {1984) who has been {1985), Peter J. Hilton {1984), John Nobel {1985), reappointed chairman. and Eduardo D. Sontag {1984). President Julia B. Robinson has appointed Eric D. Ralph P. Boas {1985) and Gail S. Young, Jr., Bedford {1985) and Bhama Srinivasan {1985) to the {1985) have been appointed by President Julia B. Committee to Select Hour Speakers for Central Robinson to the Committee on Prizes. The other Sectional Meetings. Continuing members of the member of the committee is Dorothy M. Stone {1984) committee are Robert M. Fossum (ex officio), Israel who has been appointed chairman. N. Herstein {1984), and William B. Johnson {1984) President Julia B. Robinson has appointed Michael who has been appointed chairman. Aschbacher, Melvin Hochster and Bhama Srinivasan George R. Kempf {1985) and Floyd L. Williams to the Committee to Select the Winner of the Cole {1985) have been appointed by President Julia B. Prize for 1985. Professor Aschbacher will serve as Robinson to the Committee to Select Hour Speakers chairman. for Eastern Sectional Meetings. Continuing Hui-Hsiung Kuo {1986) and Judith D. Sally members of the committee are W. Wistar Comfort {1986) have been appointed to the Committee on {ex officio), Yum Tong Siu {1984), and Richard P. Summer Institutes by President Julia B. Robinson. Stanley {1984) who has been appointed chairman. Continuing members of the committee are Michael Irving L. Glicksberg {1985) and Masamichi Artin {1985), Thomas H. Brylawski {1985), Robert Osserman, chairman {1984), and Harold M. Stark Takesaki {1985) have been appointed to the Com­ mittee to Select Hour Speakers for Far Western {1984). Terms expire on February 28. Sectional Meetings by President Julia B. Robinson. Johan H. B. Kemperman (IMS) and David A. Paul J. Cohen {1984) has been reappointed chairman. Sanchez (AMS) have been appointed to the AMS-IMS­ Other members of the committee are Tsit-Yuen Lam SIAM Ad Hoc Oversight Committee of the Evalua­ {1984) and Hugo Rossi {ex officio). tion Panel for NSF Postdoctoral Fellowships in the Mathematical Sciences. The other member of Leonard L. Scott, Jr., {1985) has been appointed the committee is Mark Ablowitz (siAM). Professor by President Julia B. Robinson to the Committee to Kemperman will serve as chairman. Select Hour Speakers for Southeastern Sectional A new AMS-MAA-SIAM Joint Committee on the Meetings. Continuing members of the committee Status of the Profession has been appointed by are A. T. Bharucha-Reid {1984), Frank T. Birtel (ex Presidents Julia B. Robinson (AMS), Ivan Niven officio), and Carl Pomerance {1984) who has been (MAA) and Hirsh G. Cohen (SIAM). The members of appointed chairman. the committee are Lida K. Barrett (MAA), Wendell H. Marian B. Pour-El, Jim Douglas, Jr., and Samuel Fleming (SIAM), Murray Gerstenhaber (AMS), Louise Karlin have been appointed by President Julia B. Hay (AMS), Irwin Kra, member-at-large, Bernard L. Robinson to the Committee to Select the Gibbs Madison (MAA), and Robert McKelvey (SIAM).

91 Reports of Past Meetings Tosio Kato, J.-L. Lions, Louis Nirenberg, and Paul Rabinowitz. 1983 Summer Research Institute Nonlinear Functional Analysis and Applications The October Meeting in Fairfield The eight hundred and sixth meeting of the The American Mathematical Society held its thirty­ American Mathematical Society took place at first Summer Research Institute at the University of Fairfield University in Fairfield, Connecticut, on California, Berkeley, from July 11 to July 29, 1983. Friday and Saturday, October 28 and 29, 1983. The institute was partially supported by a grant from There were 169 registrants, including 150 members of the National Science Foundation. the Society. The purpose of the institute was to present and develop worldwide research in nonlinear functional Invited Addresses. By invitation of the Committee analysis and its applications, especially in the study to Select Hour Speakers for Eastern Sectional of boundary value problems for nonlinear partial Meetings, there were three invited one-hour addresses. differential equations and corresponding problems in The names of the speakers, their affiliations, and the geometry and mathematical physics. Major topics titles of their talks, are as follows: which were covered include: Minimax methods in the JOHN L. HARER, Columbia University and calculus of variations, existence theory for variational University of Maryland, College Park, Homology problems without compactness, theories of degree of the moduli space of curves. of mapping, inverse function theorems of Nash­ JOHN HuBBARD, Cornell University and Harvard Moser type, nonlinear semigroup theory, nonlinear University, Dynamics of rational maps. equations of evolution, nonlinear problems of control DANIEL J. KLEITMAN, Massachusetts Institute theory, periodic solutions of Hamiltonian systems, of Technology, Dependent intervals. generalizations of the Morse theory, nonlinear The three speakers were introduced by William equations in gauge field theory, the theory of Abikoff, Lisa Goldberg, and Richard Stanley, Feigenbaum cascades, the study of the Navier­ respectively. Stokes equations, nonlinear problems in differential geometry, and a variety of topics concerning nonlinear Special Sessions. By invitation of the same elliptic boundary value and eigenvalue problems, committee, there were five special sessions of bifurcation theory, nonlinear hyperbolic equations, selected twenty-minute papers. The topics of these nonlinear conservation laws, nonlinear Hamilton­ special sessions, the names and affiliations of the Jacobi equations, and an even wider variety of mathematicians arranging them, and the lists of physical applications. speakers, are as follows. There were 13 series of expository lectures Theory of infinite groups, BEN FINE, Fairfield totaling 39 hours of lectures which summarized main University. The speakers were Robert Bieri, Richard directions of current research. In addition there were Goldstein, Roger Lyndon, John Ratcliffe, Dennis 115 one-hour talks. Spellman, Carol Tretkoff, Marvin Tretkoff, Peter A total of 203 mathematicians registered for the Waterman, and Kenneth Weston. institute, twenty of whom were students. Twenty­ Surfaces and three-manifolds, WILLIAM one participants were accompanied by one or more GoLDMAN, Massachusetts Institute of Technology member(s) of their families for at least part of and University of Maryland, and JOHN L. HARER. the time. Twenty-two countries not in North The speakers were William Abikoff, Robert Brooks, America were represented by the following numbers Ruth Charney, Tim D. Cochran, David Gabai, Jane of participants: Africa (1), Argentina (1), Australia Gilman, William Goldman, Matthew Grayson, Linda (3), Belgium (1), Brazil (1), China (4), Czechoslovakia Keen, Irwin Kra, Larry Lok, Howard Masur, John (1), England (4), France (22), Israel (2), Italy (14), McCarthy, Edward Miller, Lee Mosher, Patricia Sipe, Japan (8), Korea (1), Netherlands (2), New Zealand and Scott Wolpert. (1), Poland (1), Rumania (1), Scotland (1), Spain (4), Combinatorics, DANIEL J. KLEITMAN. The Sweden (2), Switzerland (3), and West Germany (12). speakers were Michael 0. Albertson, Kenneth P. As with previous summer research institutes, the Baclawski, Douglas Bauer, Kenneth Berman, Seth Society will publish formal proceedings in the series Chaiken, Fan R. K. Chung, Paul Edelman, Ira M. Proceedings of Symposia in Pure Mathematics, Gessel, Ronald L. Graham, Curtis Greene, Joan which will include papers by most of the hour P. Hutchinson, Jeff Kahn, Howard Kleiman, Jeffrey speakers. C. Lagarias, David R. Richman, Gian-Carlo Rota, The topic of this institute was selected by Michael Saks, Edward R. Scheinerman, Richard P. the AMS Committee on Summer Institutes, whose Stanley, and Herbert S. Wilf. members at the time were Morris W. Hirsch, Robert Approximation theory and numerical analysis, Osserman (chairman), George C. Papanicolaou, JOHN A. RouLIER, University of Connecticut. The Wilfried Schmid, Harold Stark, and Stephen Wainger. speakers were M. Brannigan, R. P. Gosselin, Myron The Organizing Committee for the institute Henry, Andras Kro6, James Lewis, D. F. McAllister, included Haim Brezis, Felix Browder (chairman), Harry W. McLaughlin, Dennis Pence, T. J. Rivlin,

92 John A. Roulier, Oved Shisha, Roy L. Streit, and and Lorenzo Traldi, and one General Session chaired Dean Zwick. jointly by Samuel Zaidman and Gary Gordon. Topics in complex analysis, DoROTHY B. Social Event. The Local Arrangements Committee SHAFFER, Fairfield University. The speakers were organized a beer party on Friday evening. Roger Barnard, Louis Brickman, Bettye Anne Case, Committee. The Local Arrangements Committee , Paul Gauthier, Walter Hengartner, Y. consisted of Jenny Baglivo, Robert Bolger, Joseph J. Leung, T. H. MacGregor, Peter McCoy, E. P. Dennin, Benjamin Fine, George Lang, Joseph Merkes, David Minda, George Piranian, J. R. Quine, MacDonnell (co-chair), Edward O'Neill, Dorothy Glenn Schober, Herb Silverman, Evelyn Silvia Ted Shaffer (co-chair), and Maurice Wong. J. Suffridge, and Anna Tsao. ' ~ontributed Papers. There were, in addition, two W. Wistar Comfort sesswns for contributed papers: one in Geometry and Middletown, Connecticut Associate Secretary Topology chaired jointly by Domina Eberle Spencer

Authors included in Part two are: VOLUME 38 Charles A. Akemann R. Lima Huzihiro Araki Roberto Longo C. j. K. Batty Calvin C. Moore Horst Behncke Paul S. Muhly }. Bellissard john Phillips Ola Bratte!i Robert T. Powers Detlev Buchholz lain Raeburn Operator Algebras and Applications Man Duen Choi Arlan Ramsay Erik Christensen jean N. Renault Richard V. Kadison, Editor Ph. Combe }. R. Rlngrose john E. Roberts These volumes present a state-of-the-art account F. Combes R. Rodriguez of the theory of operator algebras and its applica­ Alain Cannes B. Russo tions. They stem from a conference that represented Raul E. Curto Kazuyuki Saito the first meeting dealing with the full range of the Alfons van Daele ShOichiro Sakai subject in over thirteen years. The major part of the Kenneth R. Davidson Norberta Salinas volumes is expository in nature-the conference was George A. Elliott Geoffrey L. Sewell arranged to survey advances and developments in G. G. Emch M. Sirugue recent years. Many articles have been written to give David E. Evans M. Sirugue-Collin expository descriptions of these advances. There are Klaus Fredenhagen Christian F. Skau groups of related articles (for example, in the theory Y. Friedman Erling Stt/Jrmer of C*-dynamical systems, the theory of unbounded P. Ghez derivations, applications to quantum physics, and the F. Goodman Dennis Sullivan cohomology theory of operator algebras). There are Rudolf Haag Colin E. Sutherland major articles by many of the leading contributors Harald Hanche-Oisen Hiroshi Taka/ Hideo Takemoto to the field. Richard H. Herman The Symposium was held at Queen's University, R. Hoegh-Krohn Masamichi Takesaki D. Testard Kingston, Ontario, july 14-August 2, 1980. It was N. M. Hugenholtz Harald Upmeier partially supported by a grant from the National B. lochum E. Johnson A. Verbeure Science Foundation. B. V. F. R. jones Martin E. Walter Authors included in Part one are: Pal/e E. T. Nrgensen Simon Wasserman R. }. Archbold Richard V. Kadison Daniel Kastler E. j. Woods William Arveson A. Kishimoto W. P. C. King }. D. Maitland Wright Paul Baum E. Christopher Lance Burkhard Kummerer Lliszlo Zsido Ola Bratte/i Henri Moscovici Lawrence G. Brown Dorte Olesen Magnus B. Landstad john W. Bunce William L. Paschke 1980 Mathematics Subject Classifications: 46L05, 46L10; Hisashi Choda Gert K. Pedersen 43A80, 81 E05, 82A 15. Alain Cannes Niels Vigand Pedersen Proceedings of Symposia in Pure Mathematics Joachim Cuntz L. Pukanszky Volume 38: Parts 1 and 2 (hard cover) Ronald G. Douglas jean N. Renault xix + 513 pages (Part 1); xv + 625 pages (Part 2) Edward G. Effros Norbert Riedel Set: List price $80, institutional member $60 George A. Elliott Marc A. Rieffel individual member $40 ' Thierry Fack jonathan Rosenberg Each part: List price $46, institutional member $35 $23 ' Schochet individual member Masatoshi Fujii Claude Pari f ISBN 0-8218-1441·9; LC 82-11561 Elliot C. Gootman Frederic W. Schultz Part 2: ISBN 0-8218-1444-3; LC 82-11561 Philip Green Georges Skandalis Set: ISBN 0-8218·1445·1; LC 82·11561 David Handelman :jerban StriJtiliJ Publication date: September 1982 Pierre de Ia Harpe Hiroshi Taka/ To order, please specify (Set) PSPUM/38N Richard H. Herman Yasuo Watatani (Part 1) PSPUM/38.1 N; (Port 2) PSPUM/38.2N

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POSITIONS AVAILABLE CLEMSON UNIVERSITY DEPARTMENT OF MATHEMATICAL SCIENCES The Citadel The Clemson University Department of Mathematical Applications are invited for tenure-track position(s) at Sciences has at least three approved faculty positions begin· the Assistant or Associate level. Teaching responsibilities at ning Fall Semester 1984. all undergraduate levels of Computer Science and Mathe­ SENIOR POSITION (Full Professor) matics. The Department seeks a senior mathematical scientist Qualifications include master's degree in Computer Sci­ with specialization in one of three areas: APPLIED ANAL· ence or Ph.D. in Mathematical Science with a strong back­ YSIS/COMPUTATIONAL MATHEMATICS, DISCRETE ground in Computing, capacity for research, and a dedica­ MATHEMATICS/OPERATIONS RESEARCH, OR STA­ to undergraduate teaching. Salary negotiable. Liberal tion TISTICS. Interest in the computational aspects of the area benefits include possible resources for assistants to pursue is desirable as are research interests in the applications of the advanced Computer Science degrees. The Citadel is a state­ mathematical sciences to the solutions of real world prob· supported, liberal arts, military college offering undergradu­ lems. The salary is competitive and commensurate with ex· ate degrees in the arts, sciences, engineering, education, and perience. business administration. Please send resume which includes the names of three ASSISTANT PROFESSORSHIPS references to: Each of at least two assistant professorships will be filled by a mathematical scientist possessing the Ph.D. degree with Charles E. Cleaver, Head, Department of Mathematics emphasis in one of the three areas: APPLIED ANALYSIS/ and Computer Science, The Citadel, Charleston, SC 29409. Applications should be received by February 1, 1984 to COMPUTATIONAL MATHEMATICS, DISCRETE MATHE­ ensure consideration. The Citadel is an AA/EOE. MATICS/OPERATIONS RESEARCH, OR STATISTICS. The completion of all requirements for the Ph.D. degree prior to August 15, 1984, may be substituted for the awarded Ph.D. GEORGETOWN UNIVERSITY degree. Strength in the computational aspects of the area is Department of Mathematics highly desirable as are research interests in the applications Applications are invited for a tenure-track position at the of the mathematical sciences to the solutions of real world assistant professor level. Ph.D. is required with research cre­ problems. All approved positions will be nine-month, tenure· dentials in one of the following areas: harmonic analysis, par­ track positions and salaries will be competitive. tial differential equations, differential equations in function The Department of Mathematical Sciences at Clemson spaces. Strong interest in undergraduate teaching with some University embraces algebrafcombinatorics, analysis, compu· experience is preferred. Send a detailed vita and reprints or tational mathematics, operations research and statistics and preprints, if available, and arrange to have three letters of integrates these mathematical sciences into its B.A., B.S., reference sent to: M.S., and Ph.D. programs. Applications will be accepted Chairman until all approved positions are filled. Vitae (with names and Department of Mathematics telephone numbers of three references), nominations, and Georgetown University requests for further information should be sent to: Dr. john Washington, D.C. 20057 D. Fulton, Head, Department of Mathematical Sciences, Georgetown University is an Equal Employment Oppor· Clemson University, Clemson, SC 29631. tunity/Affirmative Action Institution in employment and CLEMSON UNIVERSITY IS AN AFFIRMATIVE admissions. ACTION/EQUAL OPPORTUNITY EMPLOYER.

DEPARTMENT OF MATHEMATICS MIAMI UNIVERSITY anticipates at least two tenure· AND COMPUTER SCIENCE track assistant professorships in the Mathematics and Statis· tics Department beginning August 1984. Candidates should CALIFORNIA STATE UNIVERSITY have a Ph.D. in mathematics, statistics or operations re· LOS ANGELES, CALIFORNIA 90032 search and a genuine interest in teaching and scholarship. Assistant or Associate Professor, tenure-track· position. Ph.D. Duties include teaching an average of 8 to 9 classroom in Mathematics or Ph.D. in Computer Science with a back­ hours per week, continuing research, and departmental ground in Mathematics required. Strong computer science service. For one position, preference will be given to appli· background desirable. Starting date: September 1984. cants in operations research. The second position will be Salary: $21080-$30560. Evaluation of applicants will begin unrestricted. Candidates should send vitas, graduate tran­ February 1, 1984. Send inquiries to Wayne Bishop, Chair, scripts and three letters of recommendation to Professor at the above address. Fred Gass, Mathematics and Statistics Department, Miami An Equal Opportunity, Affirmative-Action, Handicapped University, Oxford, Ohio 45056 by February 1. (Late appli· Title IX Employer. cations may be considered.) AA/EOE

94 POSITIONS AVAILABLE University of Central Florida Applications are invited for two tenure-track positions SYRACUSE UNIVERSITY at the Assistant or Associate professor level, beginning Department of Mathematics August 1984. Ph.D. degree with strong research potential or experience and dedication to teaching at undergraduate Applications are invited for several tenure-track renewable level required. Preferred research areas include analysis, positions effective 1 September 1984. Strong research poten­ applied mathematics in the broad sense. Candidates should tial is of primary importance, teaching ability is essential, send a detailed resume, and arrange to have at least three and the Ph.D. is required. Preferred research areas include letters of recommendation and a transcript sent to: statistics, numerical analysis, and any of the specialties with­ Lokenath Debnath, Chairman, Department of Mathemat­ in the broad area of analysis; other areas compatible with ics, University of Central Florida, Orlando, FL 32816, not the research activity in the department will be considered. later than February 1, 1984. The University is an equal Candidates should send a detailed vita, and arrange to have opportunity /affirmative action employer. three letters of reference and a transcript sent to Professor L. j. Lardy, Chairman, Department of Mathematics, Syracuse University, Syracuse, New York 13210. Syracuse University UNIVERSITY OF FLORIDA is an affirmative action equal opportunity employer. ANNOUNCEMENT OF VACANCY DEPARTMENT OF MATHEMATICS UNIVERSITY OF SOUTH ALABAMA Applications are invited for a full professorship/senior Department of Mathematics and Statistics associate professorship available August 1984. This position Applications are being accepted for at least two tenure· requires a record of substantial research accomplishment and track positions at the rank of Assistant Professor. A success­ teaching experience. Outstanding candidates in all areas of ful applicant must possess a Ph.D. in Mathematics. Preferred mathematics will be given serious consideration. Departmen­ specialties include differential equations, dynamical systems, tal preferred research specialties include: partial differential ergodic theory, functional analysis, , in­ equations, numerical analysis, theoretical computer science, formation theory, number theory, and numerical analysis. combinatorics, and related areas. The academic year salary The duties of these positions include teaching undergraduate for this position is highly competitive. and graduate mathematics courses, carrying out research or Applicants should provide a resume, a list of publications, other creative activity, and contributing to a scholarly selected papers, and should arrange for five letters of refer­ atmosphere. The appointment will begin September 1984. ence to be sent to: Applicants should send a detailed resume, transcripts, and Chairman, Senior Search and Screen Committee three letters of recommendation to Dr.'S. Gene Crossley, Department of Mathematics Chairman, Department of Mathematics and Statistics, Uni­ University of Florida versity of South Alabama, Mobile, AL 36688. The closing Gainesville, Florida 32611 date is February 1, 1984. USA is an equal opportunity/ Application deadline is january 10, 1984. The committee affirmative action employer. urges early application.

UNIVERSITY OF CALIFORNIA, SANTA BARBARA TEXAS A&M UNIVERSITY DEPARTMENT OF MATHEMATICS DEPARTMENT OF MATHEMATICS The University of California at Santa Barbara Mathe­ Applications are invited for several tenure-track openings. matics Department anticipates making several temporary, All areas and ranks are considered. The Department has part- or full-time, teaching appointments during the 1984- active research groups in Algebra, Approximation Theory, 1985 academic year. We anticipate both part-time visiting Functional Analysis, Geometry and Non-Linear Analysis, faculty positions and full-time visiting lectureships at a Number Theory and Partial Differential Equations and Com· junior level (with possibility of renewal up to a maximum binatorics, Applied Mathematics, Probability, and Topology. of 2 years). Applicants should be active research mathema­ Interested individuals should send a vita and arrange for ticians or statisticians with certifiably good teaching skills. letters (if appropriate) to be sent to: We encourage applicants in all research areas. Please send Dr. H. E. Lacey, Head vita, publications list, letters of recommendation on teach· Department of Mathematics ing and research, and financial requirements by February Texas A&M University 15, 1984 to: College Station, Texas 77843 Professor james B. Robertson, Chair Equal Opportunity through Affirmative Action Mathematics Department University of California TEXAS A&M UNIVERSITY Santa Barbara, CA 93106 DEPARTMENT OF MATHEMATICS An Affirmative Action/Equal Opportunity Employer. Texas A&M University and the Department of Mathe­ matics invites applicants for the OWEN CHAIR in Mathe­ DEPARTMENT OF matics. This is an endowed chair established by the gift of MATHEMATICAL SCIENCES George Arthur and Mary Emolene Owen. The successful WORCESTER POLYTECHNIC INSTITUTE candidate must have a distinguished research record and Tenure-track assistant professorships requiring a strong considerable stature in the international mathematical com­ commitment to scholarship, excellent classroom teaching munity. The position is open to all areas of Mathematics. and project advising. Preference will be given to applicants The Department has active research groups in Algebra, whose research interests parallel current work in the depart­ Approximation Theory, Functional Analysis, Geometry and ment, which includes discrete modeling, computer mathe­ Non-Linear Analysis, Number Theory and Combinatorics, matics, applied analysis, differential equations, mathematical Partial Differential Equations and Applied Mathematics, physics, operations research, statistics, and applied proba· Probability, and Topology. bility. Interested individuals should contact: Worcester Polytechnic Institute is an Equal Employ­ Dr. H. E. Lacey, Head ment Opportunity/ Affirmative Action Employer. Department of Mathematics Send applications to Bruce C. McQuarrie, Mathematical Texas A&M University Sciences Department, Worcester Polytechnic Institute, College Station, Texas 77843 Worcester, Massachusetts 01609. Equal Opportunity through Affirmative Action

95 POSITIONS AVAILABLE EMORY UNIVERSITY DEPARTMENT OF MATHEMATICS AND SOUTHWEST TEXAS STATE UNIVERSITY COMPUTER SCIENCE One or more non-tenure-track instructorships expected Tenure-track assistant or (junior) associate professor in anal­ for fall 1984. Master's degree in mathematics or computer ysis, numerical analysis or computer science, beginning science and potential for excellence in teaching required. August 1984. Strong research commitment is required. Contact Dr. john Spellmann, Chairman, Department of EMORY UNIVERSITY, located in suburban Atlanta, is en­ Mathematics/Computer Science, Southwest Texas State Univ­ larging the faculty of the Department of Mathematics and ersity, San Marcos, TX 78666. Application deadline 2/1/84. Computer Science in response to the growth of both the Late applications considered if openings exist. SWTSU is an graduate and undergraduate programs. The teaching environ­ EO/AA employer. ment (small classes, able students, no remedial programs) is unusually good. All applications should include a vita, a One or more assistant or associate professorships ex­ publication list, and at least three letters of reference. These pected for fall 1984. Possibility of tenure-track appointment. should be submitted to: Ph.D. (or equivalent) and potential for excellence in research Paul Waltman, Chairman and teaching required. Prefer those in applied math, com­ Department of Mathematics and Computer Science puter science, differential equations (o.d.e. or p.d.e), math Emory University education, number theory (analytic or algebraic) and topol­ Atlanta, GA 30322 ogy (geometric). Applications also invited in operations re­ Applications will be reviewed beginning February 1, 1984. search, quadratic forms and topological dynamics. Contact EMORY UNIVERSITY is an affirmative action/equal oppor­ Dr. john Spellmann, Chairman, Southwest Texas State Univ­ tunity employer. Applications from members of minority ersity, San Marcos, TX 78666. Application deadline 2/1/84. groups and women are particularly encouraged. Late applications considered if openings exist. SWTSU is an EO/AA employer. EMORY UNIVERSITY DEPARTMENT OF MATHEMATICS AND STATE UNIVERSITY OF NEW YORK COMPUTER SCIENCE AT BINGHAMTON Senior position in analysis, professor or associate professor, The Department of Mathematical Sciences expects to have beginning August 1984. Established research record, proven tenure-track-junior positions open in fall 1984. A senior ability to work with graduate students and a willingness to appointment is also a possibility. Applications are invited play a major role in the development of a quality graduate from candidates having excellent research records or poten­ program are required. Preferred areas are differential equa­ tial. All areas of pure and applied mathematics, including tions, numerical analysis or applied mathematics. All applica­ computer science, will be considered. The department has tions should include a vita, a publication list, and the names considerable computer science responsibilities, so applicants of at least three references. Submit to: with CS experience, at whatever level, are asked to describe Paul Waltman, Chairman it. Send vita and letters of recommendation to: Department of Mathematics and Computer Science David L. Hanson, Chairman Emory University Department of Mathematical Sciences Atlanta, GA 30322 State University of New York at Binghamton Applications will be reviewed beginning january 1, 1984. Binghamton, NY 13901 EMORY UNIVERSITY is an affirmative action/equal oppor­ An Equal Opportunity/Affirmative Action Employer tunity employer. Applications from members of minority groups and women are particularly encouraged. UNIVERSITY OF NORTHERN IOWA: MATHEMATICS POSITION DEPARTMENT OF MATHEMATICS Tenure track position in mathematics at Assistant/ Associate KANSAS STATE UNIVERSITY Professor level tenatively available. Salary and benefits com­ Tenure-track position at the Assistant Professor" level for the petitive. Area of speciality is open, with preference for al­ academic year 1984-1985. Salary commensurate with ability. gebra or analysis (broadly defined). Doctorate in mathemat­ Candidates must have demonstrated research ability in global ical speciality, demonstrated teaching ability, and scholarly analysis and the use of differential geometry and topology productivity and promise required. Closing date of March 20, for the study of problems in analysis or theoretical physics. or later if position is still open. For complete announce­ Commitment to excellence in teaching is expected. A Ph.D. ment, contact Dr. David Duncan, Head, Department of in mathematics or equivalent required. Starting date: August Mathematics and Computer Science, University of Northern 13 1984; Closing date: january 31, 1984. Contact: Depart­ Iowa, Cedar Falls, lA 50614. An equal opportunity/affirma­ m~nt Head, Department of Mathematics, Kansas St~te Univer­ tive action employer. sity, Manhattan, KS 66506; (913) 532-6750. KSU IS an AA/EOE. ACTUARIAL SCIENCE permanent position-tenure track. Teach actuarial and mathematics courses, advise students, Tenure-track position at the Assistant Professor level for the aid in administration of undergraduate actuarial programs, academic year 1984-1985. Salary commensurate with ability. engage in research or other scholarly activities. Either a Candidates must have demonstrated research ability in num­ Ph.D. or Fellowship in an Actuarial Society and some ber theory. Some areas of particular interest are the applica­ teaching experience preferred. Should have the ability and tion of dynamical systems to number theory and sequences desire to energetically build up an existing actuarial program. of integers. A broad background in algebraic number theory Commitment to scholarship. Salary negotiable. Screening be­ is also desirable. Commitment to excellence in teaching is gins February 15, 1984. Contact: C. Vinsonhaler, Mathe­ expected. A Ph.D. in mathematics or equivalent required. matics Department, The University of Connecticut, Storrs, Starting date: August 13, 1984; Closing date: january 31, CT 06268. THE UNIVERSITY OF CONNECTICUT IS AN 1984. Contact: Department Head, Department of Mathe­ EQUAL OPPORTUNITY/AFFIRMATIVE ACTION EM­ matics, Kansas State University, Manhattan, KS 66506; PLOYER. (913) 532-6750. KSU is an AA/EOE.

96 POSITIONS AVAILABLE UNIVERSITY OF WISCONSIN-Madison POSITION VACANCY Van Vleck Assistant Professorships in Mathematics. We in­ vite applications from outstanding mathematicians (of any UNIVERSITY OF WISCONSIN-PLATTEVILLE age) who are recent recipients of a doctorate-people who Position Title: Academic Staff or Probationary Faculty, will interact well with members of our department, who Lecturer or Assistant Professor. care about teaching, and who can contribute to our research Position Description: Teach undergraduate college mathe­ and instructional programs. Teaching load is 2 courses per matics courses; primarily freshman and sophomore semester. High probability of additional income through courses. research or teaching during summers between consecutive Salary: $18,000-$24,000+ depending upon qualifications years of appointment. Salary dependent on experience-at and experience. least $22,500 per academic year. Two- or three-year term Qualifications Required: Minimum: Masters Degree; Ph.D. positions. Deadline for applications is December 31, 1983. preferred and required for tenure-track position. Write j. Marshall Osborn, Chairman, Department of Mathe­ Effective Date of Appointment: August 22, 1984. matics, 223 Van Vleck Hall, University of Wisconsin, 480 Location: Platteville, Wisconsin is in the rolling hills of Lincoln Drive, Madison, Wisconsin 53706. The University of Southwestern Wisconsin located 25 miles northeast Wisconsin-Madison is an Equal Opportunity Employer. of Dubuque, Iowa and 70 miles southwest of Madison, Wisconsin. Primarily a rural area with an excellent public school system and a city of 10,000 THE UNIVERSITY OF PITTSBURGH residents. PITTSBURGH, PENNSYLVANIA 15260 Character of Institution: Primarily an undergraduate coed Applications invited for 2 junior-level tenure-track faculty institution with five Colleges: Arts and Sciences; positions anticipated in 1984. Preferred areas: PDE's, analy­ Agriculture; Business, Industry and Communica­ sis, applied mathematics. Present teaching loads: 2 classes tions; Engineering; and Education; and a limited per term, 2-term 8-month academic year. Ph.D., publications, graduate program. The University is accredited by effective teaching ability required. C. V., 4 letters of recom­ North Central, ABET, NAIT and ACS. Slightly mendation, reprints, preprints should be sent to W. E. over 5,000 students. Deskins, Chairman, Department of Mathematics and Statistics, Application: Send applications to: University of Pittsburgh, Pittsburgh, Pennsylvania 15260. F. Dawson Trine, Chairman U.P. is an Equal Opportunity /Affirmative Action Employer. Department of Mathematics UW-Piatteville Platteville, WI 53818 YORK UNIVERSITY Deadline: March 1, 1984 DEPARTMENT OF MATHEMATICS An Affirmative Action - Equal Opportunity Employer The Department of Mathematics at York University invites applications for tenure-track positions at the Assistant Pro­ SYSTEMS SCIENCE/MATHEMATICS fessor or higher level, and limited term (one, two, or three­ Washington University, Department of Systems Science year) positions, commencing july 84 (subject to academic and Mathematics, has an opening for a Visiting Assistant and budgetary approval). Special consideration will be given Professor for the academic year 1984/85. Conversion to to applicants in statistics and operations research. Cross Assistant Professor on the tenure track is possible. D. Sc. or appointments with other departments are possible. Vita and Ph.D. from a renowned university is required. Applicant three letters of reference should be sent to Chairman, Mathe­ must be an expert in systems theory, including the theory matics, York University, Downsview (in Toronto), Ontario of stability and robustness of multivariable systems. Appli­ M3j 1P3. In accordance with Canadian Immigration require­ cants must be well versed in algebraic, geometric and topo­ ments, this ad is directed to Canadian citizens and permanent logical techniques of control and systems theory. residents of Canada. Reply with resume and other evidence of qualifications to Dr. john Zaborszky, Chairman, Department of Systems Mathematics Department Science and Mathematics, Washington University, Campus THE UNIVERSITY OF ALABAMA Box 1040, St. Louis, MO 63130. We expect to have at least 3 tenure-track positions, probably An Equal Opportunity Employer. at the Assistant Professor level. Demonstrated ability in both research and teaching is essential. The Ph.D. degree is re­ ROCHESTER INSTITUTE OF TECHNOLOGY quired. Strong preference for some of these positions will be DEPARTMENT OF MATHEMATICS given to candidates who will contribute to the department's ROCHESTER, NY 14623 expanding program in applied mathematics. Applicants in all fields w.ill be considered for the other positions. The Anticipated Asst./ Asso. Professor positions for Sept. 1984. U of A, which has one of the two Ph.D. programs in mathe­ Ph.D. and/or extensive experience in mathematics, preferably matics in the state, is located in Tuscaloosa, a town of with concentration in at least one area within applied math­ 80,000 which is a short drive from Birmingham. Write to ematics, graph theory, numerical analysis, operations re­ A. Hopenwasser, P.O. Box 1416, University, Alabama 35486. search or statistics. Persons applying should have a strong in­ terest in teaching at the undergraduate level, as well as work­ THE UNIVERSITY IS AN EQUAL OPPORTUNITY/ AFFIRMATIVE ACTION EMPLOYER. ing with others in applied research areas. CONTACT: Dr. George T. Georgantas, Head RIT: Affirmative Action/Equal Opportunity Employer Applications invited for tenure track position at Assistant Professor level beginning August 1984. Responsibilities: Computer Science/Mathematics. Full-time teaching (rank Teach courses in mathematics, particularly combinatorics and salary open). Minimum requirement: Master's in com­ and discrete structures for largely engineering or computer puter science, strong mathematics background. Prefer Ph.D. science majors and pursue research in combinatorial analysis, in either field. Teach wide range of courses under a cooper­ graph theory, etc. Candidates must have Ph.D. in Mathematics ative arrangement. Send resume, three reference letters, and with emphasis on some area of discrete mathematics. Teach­ salary requirements to Academic Dean, Tabor College, ing experience is desirable. Salary: Negotiable. Send resume Hillsboro, KS 67063. Closing date: january 31, 1984. Start­ and at least three letters of recommendation to David A. ing date: August 18, 1984. Tabor is an evangelical Christian Sanchez, Chairman, Mathematics and Statistics, University college operated by the Mennonite Brethern Church. of New Mexico, Albuquerque, NM 87131. AA/EOE.

97 POSITIONS AVAILABLE FACULTY POSITION IN COMPUTER SCIENCE Applications are invited for a tenure-track position at the THE UNIVERSITY OF VERMONT Assistant Professor level in Computer Science, beginning CHAIRPERSON with the 1984-85 academic year. Applicants must have a DEPARTMENT OF MATHEMATICS Ph.D. in Computer Science (prior to accepting duties) and Nominations and applications are invited for the position a commitment to teaching and research. Candidates from of Chairperson of the Department of Mathematics. The Chair· all areas of Computer Science will be considered. person is responsible to the Dean of the College of Engineer· The Computer Science program at Riverside is housed in the ing and Mathematics for the administration and planning of well-established Department of Mathematics, which offers instruction, research, service activities, and graduate program bachelor's, master's, and doctoral degrees. The department development. offers B.S. and M.S. degrees in Computer Science. March 1, The University of Vermont, established in 1791, is 1984 is the deadline for filing applications. located in Burlington, situated between the Green and To apply, send resume with names· of three references to: Adirondack Mountains on the shores of Lake Champlain. Professor David Rush The University is organized into nine colleges and schools and Chair, Search Committee and currently enrolls approximately 10,900 students. The Department of Mathematics College of Engineering and Mathematics has 1,138 under­ University of California graduate students and 23 7 graduate students. CA 92521 The Department of Mathematics offers the Bachelor of Riverside, Science Degree in Mathematics with options in applied mathe­ The University of California is an Equal Opportunity/Affirma­ matics, mathematics, and statistics, and the Bachelor of Arts tive Action Employer. Degree. The Master of Science Degree is offered through the Graduate College in biostatistics, mathematics, and statistics. The Department of Mathematics at SUNY/Buffalo ex­ There are currently 25 full-time faculty in the Department. pects to make several faculty appointments in each of the Candidates should possess the Ph.D. in one of the areas next two years. These appointments will most likely be at represented within the Department and present a record of the level of Assistant P.rofessor. Salary will be competitive. leadership and professional accomplishment in research and There is a normal teaching load of two courses per semester. teaching. The position will be available at the start of the We are interested in identifying candidates with well-devel­ 1984-85 academic year. Nominations of, and applications oped research programs who have a strong commitment to from, qualified female and minority candidates are especially teaching. Outstanding candidates in all fields of mathematics invited. Nominations and applications (including resume) are encouraged to apply. must be submitted by February 1, 1984, to: Applicants should send any supporting information and Professor Clarke E. Hermance, Chair have four letters of recommendation sent to: Mathematics Search Committee Dr. Nicolas Goodman Office of the Dean Search Committee Chairman 123 Votey Building Department of Mathematics College of Engineering and Mathematics SUNY/Buffalo University of Vermont 106 Diefendorf Hall Burlington, VT 05405 Buffalo, New York 14214 The University of Vermont is an Equal Opportunity, To assure full consideration, applications should be received Affirmative Action Employer. by February 1, 1984. SUNY/Buffalo is an Equal Opportunity/Affirmative Action prospective minor­ UNIVERSITY OF DENVER Employer. We are interested in identifying Department of Mathematics and Computer Science ity and women candidates. No person, in whatever relation­ ship with the State University of New York at Buffalo, shall Senior and junior positions. be subject to discrimination on the basis of age, creed, color, Several tenure-track positions in mathematics are available, handicap, national origin, race, religion, sex, marital or veteran beginning in Fall, 1984. Candidates in all areas of mathematics status. are invited to apply. Strong research accomplishments or evident research potential is expected, as well as some teach­ ing experience. Mathematical fields represented in the Depart­ UTAH STATE UNIVERSITY ment include: foundations of quantum mechanics, numerical MATHEMATICS DEPARTMENT algorithms, coding theory, computational fluid dynamics and The Mathematics Department at Utah State University functional analysis. A theoretical computer science group has anticipates the availability of tenure-track and visiting interests in: combinatorics, graph theory, optimization, and faculty positions at the Assistant, Associate, or Full Profes· algebraic methods in discrete mathematics. sor level beginning September 1, 1984. Duties consist of Applications, with vita and references, should be sent to teaching undergraduate and graduate classes and engaging Prof. james A. LaVita, Department of Mathematics and in research in an area of mathematics or its applications. Computer Science, University of Denver, Denver, CO 80208. Applicants must have a Ph.D. and provide evidence of the An Equal Opportunity Employer. potential for excellence in teaching and research. Senior level applicants should indicate experience with doctoral UNIVERSITY OF WISCONSIN-SUPERIOR invites applica­ graduate programs, particularly those with interdisciplinary tions for a tenure-track faculty position in Mathematical Sci­ aspects. Interest in numerical analysis, partial differential ences. Teach 12 hours in Computer Science and/or Mathemat­ equations, optimization, pattern rewgnition, and other ical Sciences. Master's degree, doctorate preferred, in Com­ applied areas preferred, but not required. Rank and salary puter Science or Mathematics with emphasis in Computer will be commensurate with experience and credentials. Science. Applied Statistics or Operations Research background Send vita and at least three letters of recommendation desirable. Salary $22,000-$32,000 academic year. Start Fall to Search Committee, Mathematics Department- UMC 41, Quarter 1984. Application deadline 2/20/84 or until position Utah State University, Logan, UT 84322. is filled. Send application letter, resume, and 3 letters of Closing Date: February 15, 1984, or until positions are recommendation to Dr. Francis Florey, Mathematical Sciences filled. Program, University of Wisconsin-Superior, Superior, WI USU is an Affirmative Action/Equal Opportunity 54880. EO/AA Employer. Employer.

98 POSITIONS AVAILABLE MATHEMATICS DEPARTMENT UNITED STATES NAVAL ACADEMY OHIO STATE UNIVERSITY AT NEWARK ANNAPOLIS, MARYLAND 21402 UNIVERSITY DRIVE, NEWARK, OHIO 43055 Applications are invited for a three-year tenure-track appoint­ ASSISTANT PROFESSOR of Mathematics starting Septem­ ment as Assistant Professor commencing january 1984 or ber 1984. This is a full-time, tenure track position involving August 1984. Ten-month salary $21,000-$28,000, commen­ teaching (presently seven quarter courses annually). research, surate with experience and qualifications. Research oppor­ and service. Ph.D. and documentation of teaching excellence tunities exist for augmenting salary during summer. Special­ required. Salary: $20,000-25,000. OSU-N is a two-year ization in applied mathematics desired but not essential. regional campus 35 miles east of the main campus in Colum­ Applicants must possess Ph.D., have a commitment to excel­ bus. Classes are small. Curriculum vita and three letters of lence in teaching, and be capable of pursuing independent reference should be sent to: Howard Marcum, Chairman, research. Send inquiries and applications to Professor F.l. Math Search Committee at the above address. To be assured Davis, Chairman. Required of each applicant are a resume, of consideration, application must be received by February transcripts, and three letters of recommendation discussing 15, 1984. applicant's teaching and research. The Naval Academy is an The Ohio State University is an EEO/AA Employer EO/AA employer.

Assistant Professor MIAMI UNIVERSITY Department of Mathematics SYSTEMS ANALYSIS DEPARTMENT Southern Methodist University Applications are invited for faculty positions beginning Applications are invited for anticipated tenure-track and August 1984. Candidates should have expertise in computer visiting positions at the assistant professor level beginning systems (software engineering, analysis, design, database, September 1984. Candidates should have strong potential telecommunications) or in the area of operations research, in research and a commitment to excellence in teaching. particularly as applied to the analysis of forecasting, inven­ Preference will be given to candidates who can interact tory, production and/or computer systems. A Ph.D. or an with the active groups in the department in applied mathe­ M.S. with industrial experience is preferred. Duties are matics. These include numerical analysis, mathematical teaching, research, and public service. Rank and salary will modeling, and asymptotic methods. Special consideration be commensurate with qualifications. will be given to candidates in the field of scientific compu­ Send resume to Donald McHugh, Systems Analysis De­ tation. partment, Miami University, Oxford, Ohio 45056. Miami The department has a Ph.D. program; teaching loads are University is an equal opportunity/affirmative action em­ two courses per semester. ployer. Applicants should send a vita and arrange to have three letters of reference sent to Professor George W. Reddien, University of Toledo Chairman, Department of Mathematics, Southern Methodist Department of Mathematics University, Dallas, Texas 75275. Toledo, Ohio 43606 The University is an Equal Opportunity /Affirmative Action/Title IX employer. The Department of Mathematics invites applications for two tenure track positions available beginning in September 1984, one of which is for a mathematician who makes significant Senior Position use of computers. Candidates in all fields will be considered ALGEBRAIC GEOMETRY for the second. Applicants should have a Ph.D. (or have com­ The Department of Mathematics at the University of pleted the Ph.D. by September 1984}. and be committed to Arizona seeks to fill a senior level position in algebraic both teaching and research. Rank and salary are open. Send geometry as a first step toward the development of a re­ resume and three letters of reference to Harvey Wolff, search group in this area. Applicants should have an estab­ Chairman, Department of Mathematics. Selection procedure lished and internationally recognized record of excellence will begin on january 16, 1984. The University of Toledo in research, the ability to provide scientific leadership, and is an equal opportunity, affirmative action employer. a commitment to teaching at both the undergraduate and graduate levels. It is expected that this group will have sig­ Applications invited for tenure-track position at Assistant nificant interaction with the Department's existing programs Professor level beginning August 1984. Responsibilities: in nonlinear analysis and in algebraic number theory. Appli­ Teach courses in mathematics with particular emphasis on catibns, which should include a curriculum vitae and the one of the following areas: algebra or number theory, names of at least three suggested references, may be sent to: algebraic geometry, differential geometry, differential or Algebraic Geometry Search Committee, Department of algebraic topology or global analysis, ·and pursue individual Mathematics, University of Arizona, Tucson, AZ 85721. research in one of these areas. Particular emphasis will be EEO/AA given on individual's ability to collaborate in research with persons in department working in areas of algebra, global DEPARTMENT OF MATHEMATICS analysis or applied mathematics. Candidates must have Ph.D. COLLEGE OF CHARLESTON in Mathematics with emphasis on one of areas mentioned above. Teaching experience desirable. Send resume and Applications are invited for at least two tenure-track minimum three letters of recommendation to David A. positions at the junior or senior level available Fall 1984. Sanchez, Chairman, Mathematics and Statistics, University Candidates must have a Ph.D. in mathematics or a related of New Mexico, Albuquerque, NM 87131. AA/EOE. field, a commitment to undergraduate teaching, and potential for continuir.ag research. The normal teaching load is 12 hr/wk with course reductions for those engaged in research. Department Head, new Department of Computer Science, The minimum salary is $23,000. Internal grants for release University of Georgia. Senior tenure-track position. Ph.D. time or financial support for research projects are available and experience required. Submit resume and names of 3 as is travel support. Applicants should send a vita and have references. Closing date: February 15, 1984; Appointment three letters of recommendation sent to William L. Golightly, date: September 1, 1984. Applications or nominations to Chairman, Department of Mathematics, College of Charleston, Ralph A. Bradley, Statistics & Computer Science Depart­ Charleston, SC 29424. The College of Charleston is an ment, University of Georgia, Athens, Georgia 30602. Affirmative Action/Equal Opportunity Employer. EEO/AAA

99 POSITIONS AVAILABLE RUTGERS, THE STATE UNIVERSITY OF NEW JERSEY, Department of Mathematics, New Brunswick, NJ, anticipates UNIVERSITY OF NORTH FLORIDA the following open positions beginning September 1984: Applications are invited for three (3) tenure-track assistant (1) TENURE-TRACK ASSISTANT PROFESSORSHIPS. professorships. Candidates should have a Ph.D. in mathe­ Responsibility for teaching and research. Normal course load matics or statistics, strong teaching ability, and continuing approx. 7 hours. Candidates must have Ph.D., outstanding scholarly activity. Duties include teaching major, graduate, research ability in pure or applied mathematics, and concern and service courses. The Department offers the B. A. and for teaching. Preference will be given to individuals working B.S. degrees in mathematics and statistics, and the M.A. in numerical analysis. science. with tracks in mathematics, statistics, and computer (2) HILL ASSISTANT PROFESSORSHIPS. Responsibility by Feb­ Send resume and three letters of recommendation for teaching and research. Normal course load approx. 7 ruary 1 5, 1984 to hours. Candidates of any age must have recently received William H. Caldwell, Chairperson Ph.D., show outstanding promise in research ability in pure Department of Mathematical Sciences or applied mathematics, and have concern for teaching. University of North Florida These are three-year non-renewable positions. 4567 St. johns Bluff Road (3) VISITING POSITIONS. Responsibility for teaching and jacksonville, FL 32216 research. Normal course load approx. 7 hours. These posi­ Further information available upon request. An AA/EEO tions are intended to permit individuals with regular appoint­ Employer. ments elsewhere to visit Rutgers for the purpose of engaging in joint research with members of the faculty. Candidates The Department of Statistics and Probability at Michigan must have Ph.D., proven record of outstanding research State University, East Lansing, Michigan, will have a tenure accomplishments in pure or applied mathematics, and con­ track position available September 1, 1984. The position is cern for teaching. These are one or two year non-renewable at the rank of Assistant Professor. positions. Applicants should have strong research interests in level). Responsi­ Statistics or Probability or both and ability to teach under­ (4) LECTURESHIPS (Assistant Professo~ and research. Normal course load approx. graduate and graduate courses in these subjects. The applica­ bility for teaching show outstanding ' tions will be accepted until the candidate is selected. 7 hours. Candidates must have Ph.D., applied mathematics, Please send your application with resume and three letters promise in research ability in pure or of reference to: and have concern for teaching. These are one or two year Chairman non-tenure-track positions. Department of Statistics and Probability (5) LECTURESHIPS (Instructor level). Primary responsibility Michigan State University for teaching. Normal course load 9-10 hours. Candidates must East Lansing, Michigan 48824 have Ph.D., teaching experience at the college level, and Michigan State University is an equal opportunity some interest in research. These are one or two year non­ employer. tenure-track positions. (6) INSTRUCTORSHIPS. Responsibility for teaching, mainly FLORIDA INTERNATIONAL UNIVERSITY at the level of precalculus and below. Normal course load Miami, Florida 12 hours. Candidates must have masters degree or equivalent of teaching ability. Due to increased enrollment, the Department of Mathematical related experience and provide evidence Sciences will have several tenure-track positions at the Assis­ These are one or two year non-tenure-track positions. tant Professor level beginning August, 1984. Duties include Resume and 3 letters of recommendation should be sent to: teaching at the undergraduate and beginning graduate levels, CHAIRMAN, SEARCH COMMITTEE, Dept. of Math, Rut­ research and service. Candidates must have a Ph.D. degree in gers University, New Brunswick, Nj 08903 by March 1, 1984. Mathematics, demonstrated teaching ability and research Indicate position desired. RUTGERS UNIVERSITY IS AN potential. Preferred areas of specialization are harmonic analy­ EQUAL OPPORTUNITY/AFFIRMATIVE ACTION sis, recursive function theory, differential geometry, analytic EMPLOYER. number theory and probability. Qualified candidates in other areas will be considered. Salary is competitive. Applicants RUTGERS, THE STATE UNIVERSITY should send resume and three letters of reference to: Camden, New jersey Carlos W. Brain, Chairperson Dr. The Department of Mathematical Sciences expects to have a Committee Recruitment tenure track position in mathematics open in july 1984; Sciences Department of Mathematical rank is open. Applicant should be a Ph.D. in mathematics International University Florida and have demonstrated a strong commitment to research Miami 1 Florida 33199 and teaching. is a member of the State Uni­ Florida International University Send resume, list of publications, and three letters of an Affirmative Action/Equal versity System of Florida and is recommendation to: Opportunity Employer. Professor Martin Karel Department of Mathematical Sciences Assistant Professorships (2) in Mathematics; 1984-85. One Rutgers University degree (by is tenure-track. Applicants should hold a Ph.D. Camden, New jersey 08102 6/84), be committed to quality teaching, and desire to make action employer. a positive contribution to a church-related liberal arts col­ Rutgers is an equal opportunity, affirmative lege. Individuals with credentials in probability/statistics or combinatorics/mathematics of computation are particularly MATHEMATICS-Assistant Professor position available at encouraged to apply. Application materials, consisting of a Stamford Regional Campus to teach 3-4 courses per semester copy of the curriculum vitae, graduate and undergraduate of elementary and intermediate mathematics and to conduct transcripts, and three letters of recommendation (including research in field of specialization. Ph.D. in mathematics and comments on the applicant's teaching potential) should be some teaching experience required; however, candidates received no later than February 15, 1984. Send all materials expecting to complete thesis will also be considered. Research to Dr. john T. Kemper, Chair, Department of Mathematics, potential desirable. Screening of applicants will begin 2/15/84. College of St. Thomas, St. Paul, Minnesota 55105. The Col­ Salary negotiable. Contact: DR. EUGENE SPIEGEL, Dept. lege of St. Thomas is an equal opportunity /affirmative action of Mathematics, UNIVERSITY OF CONNECTICUT, U-9, employer. Storrs, CT 06268. (EOE/AA) (Search 4A15).

100 POSITIONS AVAILABLE MATHEMATICS: Tenure-track positions in one or more of the following areas: Assistant or Associate Professor LOYOLA COLLEGE, MATH DEPARTMENT {$20,868-$26,316, academic year, dependent upon qualifi­ BALTIMORE CAMPUS cations). 4501 NORTH CHARLES STREET COMPUTATIONAL MATHEMATICS: Requires Ph.D. BALTIMORE; MARYLAND 21210 in numerical analysis or computational mathematics. Candi­ A tenure track position is available for Fall '84. Candidates date will teach and develop undergraduate course{s) for should have a Ph.D. in a mathematical science with a back­ math, computer science, and engineering students who have ground in one or several of the following areas: combina· taken linear algebra and calculus, and direct master's thesis torics, graph theory, mathematical programming, numerical in applied mathematics. Research activity and experience analysis, computational complexity, or algorithm design. The with industrial applications are highly desirable. Department offers a strong undergraduate program in Math MATHEMATICS EDUCATION: Requires Ph.D. in math­ Sciences. Teaching duty is 3 courses/semester. Moderate ematics education. Candidate will teach and advise elemen­ amount of research required. Applicants should send vita tary and secondary teacher trainees, advise master's degree and three {3) letters of recommendation to Dr. John candidates in mathematics education, and teach a wide vari­ Hennessey, Chairman. Resumes received after February 1, ety of undergraduate service courses. Candidate will be re­ 1984 may not be considered. sponsible for developing and implementing a computer Affirmative Action Employer literacy component into both the elementary and secondary teacher mathematics courses. Research interests and experi­ ence in mathematics education is desirable. SUNY College at Brockport HISTORY OF MATH or TOPOLOGY: Requires Ph.D. Tenure-track assistant professorship in the Department of in mathematics, with specialization in history of math, or Mathematics/Computer Science available September 1984. topology. Candidate will teach undergraduate service courses. Applicants should have a Ph.D. in Mathematics with exper· Research activity and wide teaching interests are desirable. tise in Statistics/Operations Research and a strong commit· Deadline for applications: January 13, 1984. Applications ment to the teaching of Mathematics at the Undergraduate must include completed application form, resume, three and Master's level. For more information, contact Dr. K. letters of reference, and confirmation of highest degree. Nakano Chairperson, Department of Mathematics/Computer Apply to: Science {Phone: 716·395-2194). To apply send a letter of (specify position) application and resume and have three letters of reference The Search Committee sent by February 20, 1984 to: Faculty/Staff Relations Mathematics Department Office, SUNY College at Brockport, Brockport, NY 14420. California State Polytechnic University, Pomona An Equal Opportunity/Affirmative Action Employer. 3801 West Temple Avenue Pomona, California 91768-4033 SUNY College at Brockport Cal Poly Pomona is an equal opportunity/affirmative action, Title IX, 504 employer. Women, minorities, and dis­ Applications invited for a tenure-track position in our estab­ abled persons are encouraged to apply. lished Computer Science program of over 400 majors at the Instructor/ Assistant Professor level starting September 1984. Ph.D. in CS desirable; Master's level expertise in CS and a BOSTON UNIVERSITY strong commitment to CS education required. Salary is open Department of Mathematics and competitive. For more information contact Dr. K. The Department of Mathematics at Boston University antici­ Nakano, Mathematics/Computer Science Department {phone: pates several openings for Assistant Professors or Visiting {716) 395-2194). To apply, send letter of application, resume Faculty members beginning September 1984, pending budge­ and three letters of reference by March 1, 1984 to: Office tary approval. Teaching load 6 hours/week. Preference given of Faculty/Staff Relations, SUNY Brockport, Brockport, to applicants who share research interests with current fac­ NY 14420. An Equal Opportunity/Affirmative Action Em­ ulty members in algebraic geometry, number theory, proba­ ployer. bility and statistics, and dynamical systems and related areas. Women and minorities a.re especially encouraged to apply. The Department of Mathematics at Trinity College in­ Vita and three letters of reference to Search Committee, vites applications for a visiting assistant professorship starting Department of Mathematics, Boston University, Boston, in September, 1984. The appointment will be for a term of MA 02215. three years. Boston University is an Equal Opportunity/Affirmative The requirements for the position are: demonstrated Action Employer. excellence as a teacher, especially at the first- and second­ or of math­ year levels; a knowledge of statistics applications State University College of Arts and Science ematics; some familiarity with computing; and a Ph.D. in Geneseo, New York 14454 the mathematical sciences. The normal teaching load is three courses per semester. Applications are invited for two full-time faculty posi­ Trinity College is an Equal Opportunity/Affirmative tions in computer science to begin in September 1984. These Action employer. Women and members of minority groups are additional positions in an expanding department. are encouraged to apply and to so identify themselves in The positions require a minimum of a Master's degree in their letters of application. a computer related field {Ph.D. preferred), teaching ability in Applicants should submit a detailed curriculum vitae, Pascal, FORTRAN or COBOL, and a demonstrated back­ and academic record, and at least three letters of reference ground in two or more of the following areas: theory of to: programming languages, operating systems, computer archi­ David A. Robbins, Chairman tecture, data communications, or theoretical computer sci­ Department of Mathematics ence. Trinity College Apply with n!sume and three letters of reference before Hartford, CT 06106 30 January 1984. All applications will be acknowledged; they should be Dr. Lee T. Bryant received by February 17, 1984. Computer Science Department Representatives of the Department will be at the AMS State University College Annual Meeting in Louisville to interview potential candi­ Geneseo, New York 14454 dates. AA/EOE

101 POSITIONS AVAILABLE SOUTHERN ILLINOIS UNIVERSITY CARBONDALE, IL 62901 Macalester College Applications are invited for an assistant professor, tenure­ Applications are invited for one or two tenure track posi­ track position in Mathematics Education in the Department tions at the assistant professor level, beginning Fall 1984. of Mathematics at Southern Illinois University at Carbondale, Applicants should have or be near completion of Ph.D. in starting August 16, 1984. Qualifications for the Position: A either Mathematics or Computer Science and be capable of Ph.D. in Mathematics is required. Candidates must have teaching some CS courses beyond elementary programming. demonstrated evidence of excellence in research and poten­ Competitive salary, good benefits. Contact john Schue, tial for such in Math Education. Evidence of teaching excel­ Chairman, Department of Mathematics and Computer Sci­ lence is preferred. The salary will be competitive. Closing ence, Macalester College, St. Paul, Minnesota 55105 by date: February 1, 1984, or until position is filled. Applica­ March 1, 1984. tions plus three letters of recommendation should be sent to: Math Education Position, cfo Alphonse Baartmans, EASTERN MICHIGAN UNIVERSITY Chairman, Department of Mathematics, Southern Illinois Department of Mathematics and Computer Science University, Carbondale, Illinois 62901. SIU-C is an Equal Opportunity/Affirmative Action Employer. invites applications for several tenure track Assistant Profes­ sorships in Mathematics for the Fall semester 1984. All areas of specialization will be considered. The doctorate in SOUTHERN ILLINOIS UNIVERSITY a mathematical science is required. Eastern Michigan Univer­ CARBONDALE, IL 62901 sity offers a competitive salary and an excellent fringe bene­ "Applications are invited for assistant, tenure-track posi­ fits package. tion in Numerical Analysis in the Department of Mathemat­ Please obtain the application form from our Personnel ics at Southern Illinois University at Carbondale, starting Department and send it and your resume, transcripts, and August 16, 1984. Qualifications for the Position: Ph.D. re­ letters of recommendation by the deadline of February 29, quired. Candidates must have demonstrated evidence of 1984, to Personnel Department, 310 King Hall, Eastern excellence in research and potential for such in Numerical Michigan University, Ypsilanti Ml 48197 (313) 487-3430. Analysis. Evidence of teaching excellence is preferred. The salary will be competitive. Closing date: February 1, 1984, Eastern Michigan University is an Equal Opportunity/ or until position is filled. Application plus three letters of Affirmative Action Employer. recommendation should be directed to: Numerical Analysis Position, cfo Alphonse Baartmans, Chairman, Department Tsing Hua University, TAIWAN, R.O.C. of Mathematics, Southern Illinois University, Carbondale, Mathematics Department Illinois 62901. SJU-C is an Equal Opportunity/Affirmative Several teaching positions (beginning Aug. 1, 1984) in Action Employer. Mathematics are currently open for interested applicants. In order to ensure full considerations, applications (including SOUTHERN ILLINOIS UNIVERSITY brief curriculum vitae and publications (including Ph.D. CARBONDALE, ILLINOIS 62901 thesis)) and three letters of recommendation should be sent Applications are invited for an assistant, tenure-track prior to Feb. 15, 1984 to: position in Combinatorics in the Department of Mathematics Chairman at Southern Illinois University, starting August 16, 1984. Huei-Shyong Lue Qualifications: Ph.D. in Mathematics is required. Candidates Dept. of Mathematics must have demonstrated evidence of excellence in Research Tsing Hua University and potential for such in Combinatorics or some area of Hsinchu, Taiwan 300 computer-related mathematics. Preference will be given to R.O.C. candidates with background and experience in computer science. The salary will be competitive. Closing date: Febru­ MEMPHIS STATE UNIVERSITY ary 1, 1984, or until position is filled. Application plus three letters of recommendation should be directed to: The Department of MATHEMATICAL SCIENCES in­ Combinatorics Position, cfo Alphonse Baartmans, Chairman, vites applications for tenure-track positions at all ranks and Department of Mathematics, Southern Illinois University, in all areas of the mathematical sciences (including mathe­ Carbondale, Illinois 62901. SIU-C is an Equal Opportunity/ matics, computer science and statistics) for Fall 1984. The Affirmative Action Employer. Ph.D. degree and strong potential for excellence in teaching and research are desired. The Department is committed to continued growth and Mathematics and Statistics Dept., CSU Sacramento, CA 95819 development of its pure and applied programs. A Ph.D. is (3) TENURE-TRACK POSITIONS; assistant professor level offered in mathematics and applied statistics. (salary $20,868 to $22,896, approximate 5.8% salary increase Applicants should submit a resume (include names of 3 will be effective january 1, 1984), beginning August 1984; or 4 references) by March 1, 1984 to: Require Math or Stat Ph.D.; 12 unit per semester teaching Ralph Faudree, Chairman load; Applicants must be committed to excellence in teaching. Department of Mathematical Sciences The department will give special consideration to applicants Memphis State University who desire to teach courses in applied statistics or computer­ Memphis, Tennessee 38152 oriented mathematics, or who have research potential in any area of mathematics. Respond by 2/1/84. An Equal Opportunity/Affirmative Action Employer (2) ONE-YEAR LECTURER POSITIONS; with possibility The Department of Mathematics and Statistics at Mississippi of reappointment (salary $19,044 to $22,896, approximate State University anticipates two or more tenure-track posi­ 5.8% salary increase will be effective january 1, 19.84), begin­ tions at the Assistant Professor level for the 1984-1985 aca­ ning August 1984; Require Math or Stat Ph.D.; 12 unit per demic year. A Ph.D. is preferred. Responsibilities include semester teaching load; Applicants must be committed to teaching and research. Candidates should submit a vita and excellence in teaching. Respond by 3/1/84. Resume!, trans­ three letters of recommendation by February 1, 1984, to scripts and 3 letters of recommendation (at least one attesting j. L. Solomon, Head, Department of Mathematics and to teaching ability) should be sent to: Mathematics and Sta­ Statistics, Mississippi State, MS 39762. Mississippi State Univ­ tistics Hiring Committee. ersity is an equal opportunity /affirmative action employer. CSUS is an Equal Opportunity Employer.

102 POSITIONS AVAILABLE ANNOUNCEMENT OF POSITIONS IN COMPUTER SCIENCE DEPAUL UNIVERSITY CHICAGO, ILLINOIS JOHN D. MacARTHUR VISITING PROFESSORSHIP DePaul University invites applications for tenure-track NEW COLLEGE, Sarasota, Fl. positions in Computer Science at all levels. The starting date New College is one of sixteen distinguished liberal arts is September 1984. Any area of specialization will be con­ colleges to be honored by an endowed professorship from sidered. An Applicant should hold a Ph.D. in Computer Sci­ the MacArthur Foundation. The position will be in the ence or be a candidate for such a degree; consideration will Division of Natural Sciences which includes mathematics, also be given to holders of Ph.D. degrees in Mathematics or physics, chemistry, biology, experimental psychology, and related fields who express an interest in Computer Science. computer science. We seek a scholar who is committed to Duties include a six-hour teaching load and research. Tenure teaching motivated undergraduates in the classroom and in details and salary are negotiable. Benefits include TIAA and individual projects, and who would complement our pro­ standard health insurance. U.S. citizenship is not required. gram. Although we particularly solicit applications broadly The Department of Computer Science and Information based in computer science or computer applications, we do Systems at DePaul has over 1100 majors which are nearly encourage applicants from any discipline listed above or re­ equally divided between undergraduate and graduate stu­ lated to them, e.g. astronomy, artificial intelligence, bio­ dents. Facilities include two VAX 11/780's, a VAX 11/750, chemistry. an IBM 4331, a PDP 11/60, a PDP 11/44, a PDP 11/23, We invite applications for either a one-or-two-year ten LSI-11 's, and numerous microcomputers. The Depart­ appointment. The salary will depend on qualifications; for ment is in the process of equipping a Robotics and Vision recent Ph.D's it will be more than competitive. Laboratory. Faculty interests include artificial intelligence, New College is a small, highly selective, residential liberal computer vision, applied statistics, applied graph theory, arts college. It combines highly talented and motivated stu­ information systems, compiler design, semantics of program­ dents (average SAT scores over 1200) with outstanding ming languages, and computer architecture. faculty in a program which includes close faculty-student Applications will be received until positions are filled. interaction in the classroom, and in research and independent Send resume and at least three letters of reference to: study. Since its merger with the University of South Florida Helmut P. Epp, Chairman, Department of Computer Science in 1975, New College has been the honors academic pro­ and Information Systems, DePaul University, 243 S. Wabash, gram. Chicago, IL 60604. Applications, including a brief statement of research DePaul University is an equal opportunity employer. interests and possible course offerings and the names of three references, should be sent by January 30, 1984 to Applications are invited for two tenure-track positions Peter A. Kazaks, Chairman, Division of Natural Sciences, in mathematics at the assistant professor level effective New College of USF, 5700 North Tamiami Trail, Sarasota, july 1, 1984 (subject to availability of funds). Requirements Florida 33580. are a Ph.D. and proven ability or demonstrated potential for research and teaching. Outstanding applicants in any area of mathematics will be seriously considered but preference will UNIVERSITY OF NORTH CAROLINA-ASHEVILLE be given to applicants whose research interests substantially Department of Mathematics complement pre~ent department strengths. Send vitae and Two tenure-track positions at the level of assistant or asso­ names of three references to: Dr. K. A. Dunn, Chairman, ciate professor, beginning August 1984. The Ph.D is required, Department of Mathematics, Statistics and Computing Sci­ preferably in analysis or related area, with some training in ence, Dalhousie University, Halifax, N. S., Canada B3H 4H8. statistics and computer science desirable. The University of In accordance with Canadian Immigration requirements, North Carolina at Asheville is a small liberal arts college priority will be given to Canadian citizens and permanent located in the Blue Ridge Mountains in Western North Caro­ residents of Canada. lina. The teaching load in mathematics is 7 courses for two Dalhousie has a policy of affirmative action with respect semesters. Deadline: February 15, 1984. Send vita and letters to employment of women. of recommendation to: The Department of Mathematics anticipates a tenure­ David C. Kay, Chairman track position at the Assistant Professor level beginning Department of Mathematics August 1984. Candidates should have a Ph.D. and show The University of North Carolina at Asheville promise of ability in teaching and research. The research area One University Heights of the candidate should complement existing research inter­ Asheville, NC 28804-3299 ests in the Department; priority will be given to the areas of An Equal Opportunity/Affirmative Action Employer. statistics or combinatorial designs and algebras. Salary is competitive and benefits include University paid TIAA, med­ ical, dental, group life. Closing date is February 15, 1984, THE UNIVERSITY OF MISSISSIPPI although late applications may be considered. Resumes and The Department of Mathematics at the University of Miss­ 3 letters of recommendation should be sent to Richard j. issippi invites applications for one or more tenure-track posi­ Fleming, Department of Mathematics, Central Michigan Uni­ tions at the Assistant Professor level beginning Fall 1984, versity, Mt. Pleasant, M I 48859. pending funding. Candidate must have a Ph.D. in Mathemat­ CMU is an AFFIRMATIVE ACTION/EQUAL OPPOR· ics and a commitment to research. Teaching load and salary TUNITY INSTITUTION. will be competitive. Persons with a specialty in any area may apply. It is possible that special consideration might be given University of South Carolina at Spartanburg to applicants with specialties in numerical analysis, statistics, Spartanburg, SC 29303 graph theory, functional analysis, several complex variables, Apply to: Dr. Celia L. Adair, Chair, Search Committee partial differential equations, or certain additional areas sup­ Position Title: Tenure-track position(s) in mathematics porting applied research. Applicants should submit resume, Salary: Open graduate transcript, reprints, and dissertation abstract, and Qualifications: Ph.D. and ability to teach support courses for should arrange for at least three reference letters to be sent. applied mathematics and computer science To ensure consideration, applications should be mailed by Effective date: Fall Semester, 1984 February 1, 1984, to james F. Porter, Chairman, Department Expertise: Teach courses which include differential equa­ of Mathematics, University of Mississippi, University, MS tions, discrete structures, numerical analysis, and applied sta­ 38677. Equal Opportunity Employer. tistics.

103 POSITIONS AVAILABLE WESTERN NEW MEXICO UNIVERSITY Silver City, New Mexico 88062 Washington University in St. Louis Applications for a tenure track Assistant or Associate Department of Mathematics Professor in Mathematics and/or Computer Science are now St. Louis, MO 631 30 being accepted for Fall 1984 by WNMU. Applicants should Five tenure track positions open beginning fall 1984. be able to teach at the Undergraduate level, preferably in Three of the positions are open to any candidate with both areas. The emphasis of the department is on quality outstanding research ability in a field represented in the teaching, with opportunities for research available. Appli­ department and who can provide evidence of excellence in cants should have a Ph.D. in an appropriate discipline or be teaching. Applications from candidates in Differential Geom­ near completion of a Ph.D. program. Salary competitive. etry and Commutative Algebra·Aigebraic Geometry will be The University is located in Southwestern New Mexico at especially welcome. an elevation of 6000 feet. The climate is ideal with mild One of the positions is for a candidate sufficiently winters and moderate summers. The country's second largest knowledgeable in Applied Mathematics and Computing to national forest lies nearby. Western is at the hub of this re­ lead the Department in creating and teaching new applied gion and provides the basis for quality life. Deadline for undergraduate courses, such as applied POE, numerical applications is February 15, 1 984 or when position is filled. analysis and linear programming. Women and minorities are encouraged to apply. Another of the positions is for a candidate sufficiently WNMU is knowledgeable in computing to assume the Directorship of An Affirmative Action/Equal Opportunity Employer a College-wide Committee on Computing which will be re· sponsible for teaching introductory level Computing courses THE UNIVERSITY OF TULSA and for the introduction of computing into existing courses. MATHEMATICS Candidates for the latter two positions should be doing The Department of Mathematical and Computer Sciences Mathematical Research, either basic or applied. Rank and invites applications and nominations for tenure track posi­ salary of these two positions will be dependent upon the tions in mathematics at the rank of assistant or associate qualifications of the candidate. professor. Responsibilities include teaching nine hours per semester, continuing scholarly activity, and dedication to Applications will be accepted until the positions are the goals of high quality private education. Minimum filled. qualifications are the Ph.D. in mathematics or a related dis­ Send a letter of application, vita, and three letters of cipline and a strong commitment to teaching. Salary is reference to: G. R. jensen, Active Chairman, Department of negotiable and competitive. 1146, Washington University, St. Louis, Mathematics, Box The closing date is February 20, 1984 or until the posi­ Washington University is an AA/EOE. MO 63130. tions are filled. Send vita, transcripts, and three letters of reference to: William A. Coberly, Chairman, Department of Assistant/ Associate/Full Professor- Tenure-track or visiting Mathematical and Computer Sciences, University of Tulsa, positions, available Fall 1984. Teach courses in mathematics 600 S. College, Tulsa, Oklahoma 74104. at graduate and undergraduate levels. Participate in depart­ The University of Tulsa has an Equal Opportunity/ ment research effort in areas of expertise. Ph.D. in Mathe· Affirmative Action program for students and employees. matics preferred. Demonstrated commitment to research in Applied and Computational Mathematics and to teaching. UNIVERSITY OF ALABAMA IN HUNTSVILLE Should have the ability and background to contribute to Department of Mathematics the development of department's program in applied and computational mathematics. Preference given to applicants A tenure track position beginning September 1, 1 984 is whose resea;·ch involves numerical solution to POE, Parallel anticipated. Rank and salary commensurate with experience Processing, CAD, or related areas of Numerical Analysis. and credentials. Strong evidence of excellent research ability Salary negotiable. Screening begins February 15, 1984. Con· and a speciality area of numerical analysis, differential equa­ tact: Eugene Spiegel, Department Head, Mathematics De­ tions (ordinary or partial), or mathematical modeling are re­ partment, The University of Connecticut, Storrs, CT 06268. quired. Funded research experience is highly desirable. The THE UNIVERSITY OF CONNECTICUT IS AN EQUAL University of Alabama in Huntsville has over 6,000 students OPPORTUNITY/AFFIRMATIVE ACTION EMPLOYER. and offers graduate degrees in all mathematical science, natural science, and engineering disciplines. Mathematics- Assistant Professor position available at Send letter of application, vita, and three letters of reference Stamford Regional Campus. To teach 3-4 courses per to F. L. Cook, Chairman, Department of Mathematics, Uni­ semester of elementary and intermediate mathematics and versity of Alabama in Huntsville, Huntsville, Alabama 35899. to conduct research in field of specialization. Ph.D. in math­ Screening of applicants will begin February 10, 1984. The ematics and some teaching experience required; however, University of Alabama in Huntsville is an Affirmative candidates expecting to complete thesis will also be con­ Action/Equal Opportunity Institution. sidered. Research potential desirable. Screening of applicants will begin 2/15/84. Salary negotiable. Contact: Dr. Eugene MATHEMATICS: Southern Technical Institute anticipates Spiegel, Head, Department of Mathematics, The University several tenure-track positions beginning September 1984. of Connecticut, Storrs, CT 06268. THE UNIVERSITY OF Ph.D. in Mathematics and a background in technology pre­ CONNECTICUT IS AN EQUAL OPPORTUNITY/AFFIRM­ ferred. M.S. in Mathematics required. Salary over 21 K. ATIVE ACTION EMPLOYER. Southern Technical Institute offers four-year degrees in Engineering Technology and is located in Marietta, GA, a VISITING POSITIONS available for one or both semesters suburb of Atlanta. Most teaching is in the lower division. of the 1984-85 academic year. Teach courses at the gradu­ ate and undergraduate levels. Participate in the departmental A complete application consists of an application letter, seminars and research efforts. Ph.D. in mathematics pre­ a complete resume, three letters of reference, and transcripts ferred. Preference given to those having the ability to in­ of all college work. Applications completed by 15 February teract with research areas represented in the department. 1984 will be considered first. Screening begins February 15, 1984. Contact: Dr. Eugene Inquiries and applications should be addressed to: Spiegel, Head, Department of Mathematics, The University Dr. H. R. Andrews, Chairman of Connecticut, Storrs, CT 06268. THE UNIVERSITY OF Mathematics Search Committee CONNECTICUT IS AN EQUAL OPPORTUNITY/AFFIRM­ Southern Technical Institute ATIVE ACTION EMPLOYER. Marietta, G A 3 0060

104 POSITIONS AVAILABLE ARIZONA STATE UNIVERSITY Department of Mathematics MICHIGAN TECHNOLOGICAL UNIVERSITY - Several Applications are invited for positions at ranks of Assistant tenure-track positions in applicable mathematics (e.g., proba­ and Associate Professor. There is a possibility of appoint­ bility, fluid mechanics, ODE, PDE, etc.) statistics, opera­ ments at Professor rank. Visiting positions are also expected. tions research, numerical analysis, and computer science as Send vita and direct 3 letters of recommendation to J. well as visiting positions in all areas are available. Assistant Bustoz, Chair, Department of Mathematics, Arizona State or associate professors preferred. Excellent research and University, Tempe, AZ 85287. A. S. U. is an equal oppor­ teaching required. MTU is a strong engineering school with tunity employer. good students and consulting possibilities. Some 3-year in­ structorships are also open. Houghton has temperatures BRYN MAWR COLLEGE by Lake Superior with a great deal of snow and moderated Applications are invited for a tenure-track position in Mathe­ recreational activities. To apply, write to R. Millman, Mathe­ matics at the Assistant Professor level, beginning September and Computer Sciences, Michigan Technological matical 1984. Candidates must have a Ph.D. in Mathematics and have Houghton, Michigan 49931. MTU is an equal University, demonstrated strong research potential and excellence in opportunity educational institution/equal opportunity em­ teaching. Applications, r~sum~s and three letters of recom­ ployer. mendation should be sent to M. Martelli, Acting Chairman, Department of Mathematics, Bryn Mawr College, Bryn BURROUGHS CORPORATION, ADVANCED TECHNOL­ Mawr, PA 19010 by January 15, 1984. Bryn Mawr College OGY DIVISION-AUSTIN RESEARCH CENTER has are· is an Equal Opportunity/Affirmative Action Employer. search position available in mathematics/logic/computer science. Candidates must have solid theorem-proving ability FOR SALE and should have some training in mathematical logic. Famil­ iarity with lambda-calculus, Scott-Strachey semantics, and MATH SCI PRESS, 53 Jordan Rd., Brooklme, MA 02146; higher-order logic is desirable. Computer science background 617-738-0307. Just published: Geometry of Riemannian in LISP, applicative languages, mechanical theorem proving, Spaces, by Elie Carlan. Translation by James Glazebrook of program verification, or A. I. is desirable. Applicant must be 1946 edition, notes by R. Hermann. $50. 20% reduction willing to work on specific problems in logic and semantics on two or more volumes of entire Jist (see ad in Oct. '82 related to applicative (functional) programming languages. Notices) of 35 volumes. Send n\sum~ to Dr. Carl Pixley, Burroughs Corporation, ATD-Austin Research Center, 12201 Technology Blvd., Five day service on Russian translations in mathematics, Austin, Texas 78727. Burroughs Corporation is an Equal statistics and probability theory from preprints, reprints and Opportunity /Affirmative Action employer. short journal articles. PROTRANS, 100 Gilleland Drive, Athens, Georgia, 30606. UNIVERSITY OF THE PACIFIC, DEPARTMENT OF MATHEMATICS, STOCKTON, CA 95211 will offer an For Selectric users - CAM WI L INC. offers math/logic type­ Assistant Professorship, tenure track, starting August 1984. writer elements to fit either 88 or 96-character machines. Applicants must possess a Ph.D. in Mathematics or related For further information, contact CAMWIL, 875 Waimanu fields. The Department offers undergraduate programs in St.,Honolulu, HI 96813 5280, or call toll-free 800-367-5675. applied analysis/differential equations, operations research, probability/statistics and computer science. Candidates For Sale: KNOT THEORY, Reidemeister, English edition, should have a strong commitment to undergraduate teaching. paperback, $13.50 prepaid, $14.95 otherwise. Also, we con­ Salary competitive. Send resume by February 22, 1984 to sider university level mathematics manuscripts for publica­ William Topp, Chairman, Department of Mathematics. tion. BCS Associates, P.O. Box 3614, Moscow, Idaho 83843, USA. FACULTY POSITION WESLEYAN UNIVERSITY Tenure-track position in Computer Science beginning Proceedings Cambridge Philosophical Society 1965-74, fall 1984. (Likely at Assistant Professor level, but qualified Volumes 61-76 complete. Also Mathematical Proceedings senior candidates also encouraged.) Area of specialization Volumes 77-87. Offers? Chillingworth, Mathematics Depart­ open. Applications received by February 15, 1984, given ment, Southampton University, Southampton S09 5NH, full consideration. Send vita and three letters of recommen­ England. dation to Carol Wood, Mathematics Department, Wesleyan University, Middletown, CT 06457. MATHEMATICAL REVIEWS, SIAM REVIEW, SIAM CON­ Schaible, University of (An Equal Opportunity/Affirmative Action Employer) TROL, all 1975-1979. Professor Alberta, Edmonton, Canada T6G 2G1.

UNIVERSITY OF NORTHERN IOWA: Foundations of Semiological STATISTICS POSITION Theory of Numbers. Volume I Tenure track position in statistics at Assistant/ Associative II. A. Pogorzelski and W. J. Ryan Professor level tenatively available. Salary and benefits com­ petitive. Doctorate in statistics, demonstrated teaching abil­ List price $29.95 ity, and scholarly productivity and promise required. Closing ISBN 0-89101-053-X date of March 20, or later if position is still open. For com­ Ca. 597 pp [unpaged] plete announcement, contact Dr. David Duncan, Head, De­ Order from: partment of Mathematics and Computer Science, University The University of Maine at Orono Press of Northern Iowa, Cedar Falls, lA 50614. An equal oppor­ University of Maine at Orono tunity /affirmative action employer. Orono, Maine 04469

105 FOR SALE

Mathematical Reviews 1940-55, 1962-64: $450/Best offer;+ 1982: $100. Ed Bodfish, 1082 Hyde Park Avenue, Boston, MA 02136 (617) 364-1211 OFFER TO DONATE The Existence of We have 2 sets of Mathematical Reviews dating back to early 1960's that we wish to donate to a school library for Multi-dimensional Shock Fronts the cost of postage and shipping. Contact Professor jack K. Andrew Majda Hale, Brown University, 401-863-2358. Abstract The short-time existence of discontinuous shock­ ADDRESS CHANGE front solutions of a system of conservation laws in several space variables is proved under suitable International journal of hypotheses. These shock-front solutions are nonlinear Mathematics and Mathematical Sciences progressing wave solutions associated with the non­ linear wave fields. The results developed here apply The International journal of Mathematics and Mathemat­ ical Sciences has moved from East Carolina University to the to the equations of compressible fluid flow in two University of Central Florida. Its editorial office has started or three space variables with standard equations of publishing the International journal and conducting other state where the initial data can have shock discon­ activities from the new location. tinuities of arbitrary strength which lie on a given The International journal of Mathematics and Mathemat­ smooth initial surface with arbitrary geometry. ical Sciences is a quarterly journal devoted to the publication These shock-front solutions are constructed via a of original research papers, research notes, research-expository classical interation scheme so that the shock fronts and survey articles with emphasis on unsolved problems and for the physical equations are extremely stable and open questions in Mathematics and Mathematical Sciences. do not exhibit a "loss of derivatives." Two of the All areas listed on the cover of Mathematical Reviews - such as Pure and Applied Mathematics, Mathematical Physics, main tools used in the proof of convergence are Theoretical Mechanics, Probability and Mathematical Statis­ estimates from Friedrichs' theory of positive sym­ tics, Theoretical Biology - are included within Mathematics metric systems and the linearized stability theory and Mathematical Sciences. for shock fronts developed recently by the author. Authors are invited to submit manuscripts to this journal. The convergence proof for the iteration scheme All correspondence, subscriptions, and changes of address utilizes exponentially weighted square-integrable should be sent to: norms in space-time together with a judicious choice Dr. Lokenath Debnath, Managing Editor of these weights as the time interval tends to zero. International journal of Mathematics and 1980 Mathematics Subject Classifications: 76L05, 35L65 Mathematical Sciences Department of Mathematics Memoirs of the American Mathematical Society Memoir Number 281, vi + 94 pages (soft cover) University of Central Florida List price $10, institutional member $8, Orlando, Florida 32816-6990 individual member $5 ISBN 0-8218-2281-0; LC 83-3725 Publication date: May 1983 To order, please specify MEM0/281 N

CONTENTS I. Embedding finite covers into bundles: Remov­ MEMOIRS ing singularities of maps, Singularities o.f maps into bundles, Embedding covering spaces into bundles, OF THE AMS The obstruction. II. Embedding manifold-like continua up to shape: Applications of Part I to embedding continua up to shape, An n-manifold-like compactum which does Embedding Coverings into Bundles not embed up to shape in R2n, Singularities of cov­ with Applications erings of immersions, Embedding up to shape mani­ P. F. Duvall and L. S. Husch fold-like continua whose factors need not embed, Embedding double coverings, An example, n-mani­ The problem of when a finite regular covering of fold-like continua which do not embed up to shape ann-dimensional closed piecewise linear manifold M in R2n. can be homotoped to an embedding in an n-plane 1980 Mathematics Subject Gasslf/cations. 57R40, 57Q35, bundle over M is solved. As a corollary, a generaliza­ 57N35 tion of the Borsuk-Ulam Theorem is obtained. These Memoirs of the American Matllematical Society results are then applied to the problem of embedding Memoir Number 263, iv + 55 pages (soft cover) up to shape in 2n-dimensional Euclidean space con­ List price $8, institutional member $6, individual member $4 tinua which are the inverse limits of n-dimensional ISBN 0-8218-2263-2; LC 82-8742 manifolds. An example of such a continuum which Publication date: July 1982 does not embed up to shape in 2n-space is given. To order, please specify MEM0/263N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

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UNIVERSITY OF HOUSTON The McConnell Bernard Professorship University Park in Mathematics DEPARTMENT OF MATHEMATICS M. D. Anderson Chair UNIVERSITY OF VIRGINIA The Department seeks applications or nomina­ The Department of Mathematics wishes tions for the M.D. Anderson Professorship of to fill the McConnell-Bernard Professorship Mathematics. in Mathematics. Applications for this senior The holder of this chair should have outstanding position are invited from distinguished credentials in research and teaching, and is ex­ research mathematicians. Nominations for pected to provide scientific leadership for the De­ candidates are also welcome. All areas of partment. pure and applied mathematics will be con­ The Department is emphasizing development in sidered. the applied areas of mathematics and special con­ sideration will be given to candidates in these Submit vita and names of references to: fields. Inquiries, however, are welcome from Chairman people specializing in any area of mathematics. Department of Mathematics All inquiries, nominations or applications should Mathematics-Astronomy Building be sent to: University of Virginia Professor Garret J. Etgen, Chairman Charlottesville, Virginia 22903 Department of Mathematics University of Houston-University Park The University of Virginia is an Equal Houston, TX 77004 (713) 749-4827 Opportunity /Affirmative Action Employer. The University of Houston is an equal oppor­ tunity/affirmative action employer.

107 Elementary Statistics, 4th Ed. Robert R. Johnson, Monroe Community College ... the best-selling introductory text on the college market used successfully by over 300,000 students ... now includes a new emphasis on data collection and sampling, and computer output, and four section case studies with accompanying data sets Elements of Modern Algebra Jimmie Gilbert, Louisiana Tech University Linda Gilbert, Louisiana Tech University ... designed for a one-quarter or one-semester course in "abstract algebra" or "modern algebra" at the sophomore or junior level ... covers the concept of"groups" before "rings and fields," thus providing a more natural order of topics, and includes a brief introduction to set theory Discrete Mathematics and Applied Modern Algebra Henry B. Laufer, State University of New York, Stony Brook ... written for a course in applied modern algebra (also discrete mathematics) at the sophomore or junior level and follows the 1981 CUPM recommendations for the applied algebra course ... includes a range of topics useful in computer science: group codes, graph theory, Boolean algebra, finite state machines Introductory Linear Algebra with Applications John W Brown, University ofIllinois Donald R. Sherbert, University ofIllinois ... intended for an introductory course in linear algebra with heavy emphasis on business applications ... avoids overly theoretical discussion and stresses worked-out examples throughout tl' Prindle, Weber & Schmidt 20 Park Plaza, Boston, MA 02116

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111 EXPLORE NEW THEORIES with Wiley books

VARIATIONAL AND FUNCTION THEORY ON PLANAR QUASIVARIATIONAL INEQUALITIES DOMAINS Applications to Free Boundary A Second Course in Complex Analysis Problems Stephen D. Fisher, Northwestern University Claudio Baiocchi and Antonio Capelo, both of A high level treatment of complex analysis concen­ lnstituto di Matematica dell'Universita di Pavia and trating on function theory on a finitely-connected lnstituto di Analisi Numerica del Consiglio, planar domain. Special emphasis is given to domains Nazionale delle Richerche. bounded by a finite number of disjoint analytic This self-contained introduction applies the simple closed curves. $34.95 techniques of functional analysis to the solution of 269 pp. (1-87314-4) 1983 free boundary problems. Presents a complete treatment of elliptic quasivariational inequalities, OPTIMIZATION AND NONSMOOTH distributions, Sobolev spaces, geometric description ANALYSIS of domains and more. Frank H. Clarke, University ofBritish Columbia approx. 400 pp. (1-90201-2) Feb. 1984 Written by a pioneer in the field, this is the first $57.95 (tent.) unified and in-depth account of nonsmooth analysis and its applications to optimization and other AN INTRODUCTION TO THE THEORY branches of mathematics. Includes up-to-date OF SMOOTH DYNAMICAL SYSTEMS versions of the Maximum Principle and the basic Wieslaw Szlenk, University of Warsaw, Poland existence theorem. 1983 $34.95 A concise account of the theoretical aspects and 308 pp. (1-87504-X) results of smooth dynamical systems. Covers systems on manifolds of one or two dimensions, generic APPLICATIONS OF DISCRETE AND properties, stability theory, invariant measures for CONTINUOUS FOURIER ANALYSIS differentiable dynamical systems, and topological H. Joseph Weaver, Lawrence Livermore National entrophy. Laboratory, University of California approx. 416 pp. (1-90117-2) Jan. 1984 Developed for the practicing engineer, this working $59.95 (tent.) reference concentrates on applications ranging from tests of the accuracy of computer algorithms, to STRUCTURAL THEORY OF problems in optics, heat, vibration and stochastic DISTRIBUTED SYSTEMS analvsis. Over 200 illustrations. (Ellis Horwood Series in Mathematics 375 pp. (1-87115-X) 1983 $34.95 and Its Applications) PARTIAL DIFFERENTIAL A. G. Butkovskiy, Academy of Sciences of the USSR, Moscow EQUATIONS OF APPLIED A complete, organized treatment of the structural MATHEMATICS theory of distributed parameter systems based on Erich Zauderer, Po(vtechnic Institute ofNew York the fundamental concepts of a distributed signal and A lucid introduction to techniques for solving linear block. ProYides rules for connecting blocks in series and nonlinear partial differential equations. The and in parallel, and for closure by feedback. author discusses the construction of physical 320 pp. (0-27469-7) 1983 $84.95 process models that give rise to PDEs, the classifica­ tion ofPDEs, and their exact and approximate MATHEMATICAL MODELS OF solution. Of special interest is the thorough coverage of perturbation and asymptotic methods. MORPHOGENESIS 779 pp. (1-87517-1) 1983 $49.95 Rene F. Thorn, lnstitut des hautes Etudes Scienti­ fiques, France A collection of articles devoted to applications of as well catastrophy theory. Provides an introduction To order, write to Julie Harrington, Dept. 4-1481 as an in-depth exposition for those interested in the growth of form and organization in biology, the JOHN WILEY & SONS, Inc. social sciences, linguistics and semantics. 605 Third Avenue approx. 288 pp. (0-27499-9) Jan. 1984 New York, N.Y. 10158 $53.95 (tent.) In Canada: 22 Worcester Road, Rexdale, Ontario M9W lLl

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112 The most popular first edition calculus text ever published is now better than ever! CALCULUS: WITH ANALYTIC GEOMETRY Second Edition Howard Anton, Drexel University Like its predecessor, the second edition of Based on numerous reviewer recommenda­ this front-runner calculus text features sound, tions, several chapters have been thoroughly clear and complete explanations of all materi­ rewritten and reorganized, and many new als essential to a basic calculus course com­ exercises have been added. However, satisfied bined with analytic geometry; while offering users of the first edition will find it easy to adapt maximum flexibility for instructors. to the new edition, since none of the modifica­ tions affect the basic structure of the text.

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From Benjamin/Cummings in 1984:

Introduction to Technical Mathematics, Second Edition Allyn .J. Washington and Mario F. Triola

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Basic Mathematics for the Trades E •.J. Mowbray and .J.C. Reeder

Elementary Statistics, Second Edition Mario F. Triola

Problems Supplement for Technical Mathematics Lawrence E. Pucke and Thomas .J. Stark

For information call: (800) ~~'7-1936 (U.S. only); (800) 98~-6140 (in CA)

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114 NEW IN 1984 FROM _MACMILLAN---. ARITHMETIC JACQUELINE C. AUSTIN & MARGARITA ISERN both Miami Dade Community College With: Instructor's Manual ELEMENTARY ALGEBRA ANDREW DEMETROPOULOS & KENNETH C. WOLFF both Montclair State College With: Instructor's Manual INTERMEDIATE ALGEBRA ANDREW DEMETROPOULOS & KENNETH C. WOLFF both Montclair State College With: Instructor's Manual INTRODUCTORY LINEAR ALGEBRA WITH APPLICATIONS Third Edition BERNARD KOLMAN, Drexel University With: Instructor's Manual A FIRST COURSE IN PROBABILITY Second Edition SHELDON M. ROSS, University of California-Berkeley With: Solutions Manual

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115 _me er PRECALCULUS MATHEMATICS: A PROBLEMS-ORIENTED APPROACH David Cohen, U. C.L.A. COLLEGE ALGEBRA AND Written especially for your precalculus TRIGONOMETRY students, this class-tested text Ralph C. Stein/age, provides: University of Dayton • many graphs to illustrate concepts; Emphasizing the right triangle • clearly worked examples with each approach to trigonometry, this book new idea (all steps shown); gives your students: • unique "A" and "B" problem sets. • extensive graphs to encourage an • Instructor's Manual with Test Bank/ intuitive understanding of Sol. Manual/Transparency Masters concepts; • 1984/Est. 585 pp./Hardcover • abundant section and chapter exercises and many applications. • Instructor's Manual with Test Bank/ COLLEGE ALGEBRA Sol. Manual/Transparency Masters Ralph C. Stein/age, • 1984/Est. 525 pp./Hardcover University of Dayton Offering your students more features INTERMEDIATE ALGEBRA to help them understand college-level Evan W. Thweatt, algebra, this book has: American River College • graded exercise sets and numerous Over 4,000 problems (section and word problems; review exercises, cumulative tests) in • worked examples and boxed this text, plus: summaries of key concepts with • a large supply of word problems examples. throughout applying principles; • Instructor's Manual with Test Bank/ • worked out examples containing Sol. Manual/Transparency Masters line-by-line instructions. • 1984/Est. 450 pp./Hardcover • Instructor's Manual with Test Bank/ Study Guide • 1984/Est. 500 pp./Hardcover Need more information? CALL: toll free 800-328-9424 and ask for Kristen McCarthy. (Minnesota and Canada residents call 612-228-3778.)

116 If you value clarity, precision, and motivation, you'll always remember 1984- the year you saw your first West 1984 math text! CALCULUS FOR THE MANAGERIAL, SOCIAL, AND LIFE SCIENCES Bevan K. Youse, Emory University MATHEMATICS FOR THE MANAGERIAL, SOCIAL, For Brief Calculus all the features of AND LIFE SCIENCES the Hardy and Youse MATHEMATICS F. Lane Hardy, text and supplements. DeKalb Comm. College • 1984/Est. 450 pp./Hardcover Bevan K. Youse, Emory University FINITE MATHEMATICS FOR THE One text for your combined or split MANAGERIAL, SOCIAL, AND LIFE Finite Math and Brief Calculus, this SCIENCES text provides: F. Lane Hardy, • unique chapter opening applications DeKalb Comm. College showing real world problems to be solved using chapter concepts; See Hardy and Youse MATHEMATICS • abundant examples with all steps text for features. for solving each type of problem; • 1984/Est. 450 pp./Hardcover • practice exercises with solutions following examples; INTRODUCTORY ALGEBRA • large problems sets and many word Michael Gallo, problems; Monroe Comm. College • labels next to examples and Charles Kiehl, S.U.N. Y.-Brockport problems to help students identify With a step-by-step introduction to the type or purpose of the problem algebra, this test offers: when applied to other fields; • one section explaining each concept; • chapter tests in random order showing all problem-solving (solutions in answer section). procedures; and providing example, • Instructor's Manual with Test Bank/ practice, and review exercises. Microcomputer Test Disk/ • Instructor's Manual with Test Bank/ Transparency Masters Study Guide/Computer Assisted • 1984/Est. 750 pp./Hardcover Instruction (Disk) • 1984/Est. 450 pp./Hardcover Need more information? WRITE TO: WEST PUBLISHING COMPANY, College Div., Attn: K. McCarthy 50 W. Kellogg Blvd., P.O. Box 3526, St. Paul, MN 55165

117 Numbers, Sets Introduction to the and Axioms Representation Theory The Apparatus of Mathematics of Compact and Locally A. G. HAMILTON Compact Groups Cloth $42.50 Paper $17.95 A. ROBERT London Mathematical Society Lecture Note 80 Ergodic Theory Paper $23.95 KARL PETERSEN Cambridge Studies in Advanced Mathematics 2 Skew Fields $39.50 P. K. DRAXL London Mathematical Society Lecture Note 81 Stone Spaces Paper $19.95 PETER T JOHNSTONE Cambridge Studies in Advanced Mathematics 3 Surveys in Combinatorics $59.50 Invited Papers for the Ninth British Combinatorial Conference 1983 Polycyclic Groups E. K. LLOYD, Editor DANIEL SEGAL London Mathematical Society Lecture Note 82 Cambridge Texts in Mathematics 82 Paper$27.50 $49.50 Homogeneous Structure on Techniques of Riemannian Manifolds F. TRICERRI and L. VANHECKE Geometric Topology London Mathematical Society Lecture Note 83 R. A. FENN Paper $19.95 London Mathematical Society Lecture Note 57 $24.95 Finite Group Algebras and Their Modules Complex Algebraic P.LANDROCK Surfaces London Mathematical Society Lecture Note 84 A. BEAUVILLE Paper$27.50 London Mathematical Society Lecture Note 68 Paper $19.95 Solitons P.G. DRAZIN London Mathematical Society Lecture Note 85 Probability, Statistics Paper $15.95 and Analysis J. F. C. KINGMAN and Topological Topics G. E. H. REUTER, Editors I. M.JAMES London Mathematical Society Lecture Note 79 London Mathematical Society Lecture Note 86 Paper $29.95 Paper $24.95

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118 At Wadsworth, our authors make us run! In fact, our authors make us run two ways. people who have helped us produce math­ They keep our wheels turning as a busi­ ematics texts that are pedagogically sound, ness, and through their talent and creativ­ that work so well in the classroom. And ity they give us a reason to become even they are the people who have always kept better publishers. They are the people us motivated to publish the very best books. who consistently have that new idea, that We salute them here and look forward better approach to teaching. They are the to publishing their books in the future.

THE AUTHORS BEHIND OUR 1984 TEXTS: Ewen & Nelson: ELEMENTARY TECHNICAL MATHEMATICS, Third Edi­ tion • Gersting: TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY • Saunders & Carman: MODERN TECHNICAL MATHEMATICS • John­ ston/Willis/Hughes: ESSENTIAL ARITHMETIC, Fourth Edition • Roethel/ Weinstein/Foley: LOGIC, SETS AND NUMBERS, Third Edition • Baley & Holstege:ALGEBRA: A FIRST COURSE, Second Edition • Drooyan & Woo­ ton: INTERMEDIATE ALGEBRA, Sixth Edition • Holder: COLLEGE AL­ GEBRA, Third Edition • Holder: COLLEGE ALGEBRA AND TRIGONOME­ TRY, Third Edition • Holder: A PRIMER FOR CALCULUS, Third Edition • McKim/McGivney/Pollina: COLLEGE ALGEBRA • Barnett: ANALYTIC TRIGONOMETRY WITH APPLICATIONS, Third Edition • Kuechle: TRIG­ ONOMETRY: A NEW APPROACH • Grady & Drooyan: PRECALCULUS, Second Edition • Riddle: CALCULUS AND ANALYTIC GEOMETRY, Fourth Edition • Riddle: CALCULUS AND ANALYTIC GEOMETRY, Alternate Edi­ tion • Grossman: ELEMENTARY LINEAR ALGEBRA, Second Edition

For more information about these and other mathematics texts write Mathematics Editor, Box AMS-1-84

~17 Wadsworth Publishing Company ,.,\~( Ten Davis Drive ~U Belmont, California 94002

119 Wadsworth Mathematics Series COMPLEX ANALYSIS AND APPLICATIONS, Second Edition William Derrick, University of Montana The extensive revision of this undergraduate Each section contains many worked exam­ text for mathematics, engineering, and phys­ ples. Solutions to the odd-numbered prob­ ics students features an early introduction to lems are presented in the back of the book. complex integration and a wide choice of Complimentary copies are available for applications, including optics, jet flows, and adoption consideration. wakes as well as the traditional applications. CONTENTS: 1. Analytic Functions Complex Numbers 4. Contour Integration The Residue Theo­ and Their Algebra • Polar Representation • rem • Evaluation of Definite Real Integrals • Sets in the Complex Plane • Continuous Evaluation of Improper Real Integrals • Inte­ Functions of a Complex Variable • Necessary grals with Poles on the Real Axis • Integra­ Conditions for Analyticity • Sufficient Condi­ tion of Multivalued Functions (Optional) • tions for Analyticity • The Complex Expo­ The Argument Principle nential• Complex Trigonometric and Hyper­ 5. Conformal Mappings Geometrical Con­ bolic Functions • Complex Logarithms and siderations • Linear Fractional Transforma­ Power Functions • Applications in Optics tions • The Symmetry Principle • Composi­ 2. Complex Integration Line Integrals • tions of Elementary Conformal Mappings • Green's Theorem and Its Consequences • Fluid Flow • The Schwarz-Christoffel For­ The Cauchy Integral Formula • Liouville's mula • Heat Flow and Electrostatics (Op­ Theorem and the Maximum Principle • The tional) • Wakes in a Fluid Flow (Optional) Cauchy-Goursat Theorem (Optional) 6. Boundary Value and Initial Value Prob­ 3. Infinite Series Taylor Series • Uniform lems Harmonic Functions • Dirichlet's Prob­ Convergence of Series • Laurent Series • Iso­ lem • Applications • Fourier Series • Fourier lated Singularities • Analytic Continuation Transforms • Laplace Transforms • The (Optional) Inverse Laplace Transform JAN. 1984. 350 pp. ISBN 0-534-02853-5

Other texts available for adoption consideration: BROWNIAN MOTION AND MARTIN- ELEMENTARY MATHEMATICAL ANALY- GALES IN ANALYSIS Richard Durrett, SIS, Second Edition Colin Clark, University UCLA • Graduate text, available May 1984. of British Columbia • Undergraduate text for INTRODUCTION TO CLASSICAL REAL beginning analysis, analysis for secondary ANALYSIS Karl Stromberg, Kansas State teachers. University• Advanced undergraduate intro- INTRODUCTION TO MATHEMATICAL duction to analysis. LOGIC, Second Edition Elliott Mendelson, APPLIED MATHEMATICS James Cochran, Queens College of CUNY• Advanced intra- Washington State University • Beginning duction to logic. graduate-level text for mathematicians, INTRODUCTION TO LOGIC Patrick Suppes, engineers, and physicists. Stanford University• Undergraduate text. Wadsworth International Group Ten Davis Drive Belmont, CA 94002

120 Wadsworth Statistics/Probability Series GRAPHICAL METHODS FOR DATA ANALYSIS John M. Chambers, WilliamS. Cleveland, Beat Kleiner, Paul A. 'fukey, Bell Laboratories This book by leading researchers in the field ence, quality control, and virtually any other breaks new ground in techniques for analyz­ area where data must be analyzed. Most of ing data. Through many real applications, the material assumes a knowledge of ele­ the authors show how graphical methods mentary statistics only. Exercises are pro­ can be used to gain insight into data. These vided so that the book may also serve as a graphical methods are applicable in busi­ textbook. Available in -cloth or paper binding. ness, economics, physical science, social sci- CONTENTS: 1. Introduction 2. Portraying the Distribu­ Data 7. Developing and Assessing Regres­ tion of a Set of Data 3. Comparing Data Dis­ sion Models 8. General Principles and tributions 4. Studying Two-Dimensional Techniques Data 5. Plotting Multivariate Data 6. As­ 1983. 320 pp. cloth: $24.95. ISBN 0-534-98038-4. sessing Distributional Assumptions About paper: $17.95. ISBN 0-871-50413-8

CLASSIFICATION AND REGRESSION TREES Leo Breiman, Jerome H. Friedman, Richard A. Olshen, Charles J. Stone This book develops a powerful tree-struc­ medical and chemical projects are included. tured approach to classification and regres­ The first eight chapters are largely exposi­ sion for multivariate data. The procedures tory and cover the use of trees as a data make minimal distributional assumptions, analysis method. The last four chapters pro­ handle a wide variety of data structures, and vide the mathematical foundations. are easily interpreted. Applications from CONTENTS: 1. Background 2. Introduction to Tree Clas­ and Partitions 10. Optimal Pruning sification 3. Right Sized Trees and Honest 11. Construction of Trees from a Training Estimates 4. Splitting Rules 5. Strengthen­ Sample 12. Consistency ing and Interpreting 6. Medical Diagnosis Oct. 1983. 350 pp. cloth: $21.95. ISBN 0-534-98053-8. and Prognosis 7. Mass Spectra Classifica­ paper: $13.95. ISBN 0-534-98054-6 tion 8. Regression Trees 9. Bayes Rules

Also Available: Matrices with Applications in Statistics, Festschrift for Erich Lehmann, edited by Second Edition, Franklin Graybill. 1983. P. Bickel, K. Doksum, and J. Hodges, Jr. 1983. 461 pp. ISBN 0-534-98038-4. $32.95. 480 pp. cloth. ISBN 0-534-98044-9. $41.95.

Wadsworth International Group Ten Davis Drive Belmont, CA 94002

121 NATIONAL SCIENCE FOUNDATION Washington, D. C. DIVISION OF MATHEMATICAL SCIENCES The Directorate for Mathematical and Physical Sciences is seeking qualified applicants for posi­ tions of Director and Deputy Director, Division of Mathematical Sciences (OMS). Division is responsible for funding research in areas of Algebra and Number Theory, Applied Mathematics, Classical Analysis, Modern Analysis, Statistics and Probability, Topology, Foundations, Geometric Analysis and Special Projects. These positions are in the Senior Executive Service. The Division Director position, with a salary currently ranging from $59,230 (ES-2) to $63,800 (ES-4), may be filled on a career or a two- or three-year rotational basis. The Deputy Division Director position with a salary currently ranging from $56,945 ( ES-1) to $61,515 (ES-3), will be filled on a career basis. Qualifications requirements include a Ph.D. or equivalent professional experience or a combina­ tion of education and equivalent experience in the mathematical sciences or related field; sub­ stantial research experience and strong evidence of scholarship in the mathematical sciences, including publication of research; demonstrated familiarity with relevant academic community and recognized professional standing in the scientific/engineering community; and supervision and management of professional and support staff. Applicants should contact Margaret Cademartori on (202) 357-7857 to request an announce­ ment for a career appointment as Division Director, DMS (EPS 84-4N); an announcement for a rotational appointment as Division Director, DMS (EPS 84-14N); or an announcement for a career appointment as Deputy Director, DMS (EPS 84-5N). Announcements contain additional qualification requirements and application instructions. Applications must be received by January 31, 1984. Equal Opportunity Employer

~~~~~~~~~~~~~~~~~ Position Announcement

Department of Mathematical Sciences UNIVERSITY OF ILLINOIS AT CHICAGO LOYOLA UNIVERSITY OF CHICAGO Department of Mathematics, Statistics Chicago, Illinois 60626 and Computer Science The Department invites applications for anticipated positions. Candidates will be considered in ( 1) pure Three tenure track positions mathematics-all areas, (2) applied mathematics and anticipated for 1984-85. numerical analysis, (3) probability and statistics, and levels consid­ (4) computer-related mathematics and theoretical All areas computer science. Candidates should have excellent ered. A Ph.D. is requiredo research records and the ability to direct graduate Experience in computer sci­ students. Salary and rank will be commensurate with qualifications. Send resume and have at least three ence or statistics is a letters of reference sent to: definite plus. Louise Hay, Head Three course per semester Department of Mathematics, Statistics, teaching load; some reduc­ and Computer Science University of Illinois at Chicago tion for research possible. Box 4348 To apply, send a vita and Chicago, Illinois 60680 three letters of reference Availability of positions is contingent upon budge­ to Richard J. Maher at the tary allocations. An Affirmative Action/Equal Opportunity Employer. above addresso An equal opportunity educator/employer ~~~~~~~~~~~~~~~~~

122 Academic Press Announces Three New Math Texts For 1984 Now Available CALCULUS, Third Edition Stanley I. Grossman An efficient presentation of all topics of calculus with an early introduction of the derivative and simplified presentation of the integral.

TRIGONOMETRY Charles P. McKeague A part of the successful McKeague series, this student-oriented text features: • An early introduction of identities • Coverage of graphing, vectors, and circular motion • A variety of problems and pedagogical aids

PRECALCULUS Bernard Kolman and Arnold Shapiro A comprehensive presentation with a strong emphasis on graphing techniques. Includes extensive pedagogical aids and discussions of analytic geometry, matrices, and linear programming.

Mathematics and "A splendid book:' -Mathematics Magazine Turtle Geometry Computer Science The Computer as a Medium For Exploring Mathematics at Lehman Harold Abelson and Andrea diSessa Technology has finally caught up to this inno­ Tenure track positions anticipated in vative computer-based introduction to geome­ try and advanced mathematics. It is being Department of Mathematics and Computer used increasingly by teachers for teachers: Science. Particularly sought are applicants "I am presently teaching courses in Turtle who can participate in both our computer Geometry for the Lubbock Independent School District teaching personnel. Our object science programs and mathematics this year is to train as many of our elementary programs. teachers as possible in the use of computers in the Logo language and Turtle Geometry. I Required: doctorate and strong commitment plan to use your 1981 publication Turtle Geom­ to teaching and research. Rank and salary etry by Abelson and diSessa as a basal text for all of the courses." commensurate with qualifications and -Robert Knight, Director experience. Send resume to: of Staff Development The Logo system is now Professor Robert Feinerman, Chairman available on Apple, Texas Department of Mathematics Instruments, Commodore, and Computer Science and Atari microcomputers. 477 pp. $25.00 LEHMAN Herbert H. Lehman College The City University of New York MIT Press Bronx, New York 10468 lhe An Equal Opportunity/Affirmative Action Employer 28 Carleton Street, Cambridge, MA 02142

123 THE UNIVERSITY OF ADELAIDE invites applications from both men and women for the following position: LECTURER IN PURE MATHEMATICS (A1521) (TENURABLE) Applicants should be effective teachers and have proven research capability in mathematics. (Normally, appli­ cants would be expected to hold a PhD degree.) The Department of Pure Mathematics is engaged in teaching to the Honours degree level, and maintains an active PhD programme, its main research interests being in algebra, analysis, geometry and number theory. While no restriction is placed on the subject area of applicants, preference may be given to those with research interests in some area of analysis. The position is available from 20 August 1984. A later commencement date may be negotiated. Detailed information about the Department can be obtained from the Chairman (Dr. PE Blanksby), or the Professor of Pure Mathematics (Professor W. Moran). Holders of full-time tenured or tenurable academic appointments have the opportunity to take leave without pay on a half-time basis for a specific period of up to ten years where this is necessary for the care of children. It is University policy to encourage women to apply for consideration for appointment to, in particular, tenurable academic appointments.

FURTHER INFORMATION about the general conditions of all appointments may be obtained from the Personnel Manager of the University. SALARY per annum: A$22430 X 7 - A$29467 Salaries subject to review. APPLICATIONS, IN DUPLICATE, quoting reference number and giving full personal particulars (including citizenship), details of academic qualifications and names and addresses of three referees should reach the Personnel Manager of the University of Adelaide, GPO Box 498, Adelaide, South Australia, 5001, Telex UN IV AD AA 89141 not later than 29 February 1984. THE UNIVERSITY RESERVES THE RIGHT NOT TO MAKE AN APPOINTMENT OR TO APPOINT BY INVITATION.

OKLAHOMA STATE UNIVERSITY THE MATHEMATICS DEPARTMENT Tenure Track and Visiting Positions of the POSITIONS: Several tenure track assistant UNIVERSITY OF FLORIDA and associate professorships; visiting appoint­ announces the opening of one tenure-track assis­ ments all levels. tant professorship beginning August 1984. Those BEGINNING: September 1, 1984 applying for this position should have demonstrable research potential. Of particular interest are appli­ DUTIES: Active research program and teach­ cants with postdoctoral experience and those with ing load of no more than two courses per research interests in numerical analysis, partial dif­ semester. ferential equations, linear algebra, topology, and MINIMUM QUALIFICATIONS: Ph.D. in logic. The salary will be highly competitive. Appli­ cants should provide a n!sum~. a list of publica­ mathematics; research achievement or poten­ tions, and should arrange for at least three letters tial; commitment to teaching. of reference to be sent to: DEADLINE: January 15, 1984 for full con­ Jean A. Larson sideration. Chairman, Search and Screen Committee WRITE TO: Department of Mathematics University of Florida William Jaco, Head Gainesville, Florida 32611 Department of Mathematics Oklahoma State University Applications must be received before january 15, 1984. Stillwater, Oklahoma 74078 The University of Florida is on equal oppor­ Oklahoma State University is an equal tunity employer. opportunity employer.

124 At Booths 4 and 5, from Marcel Dekker, Inc. lEI MATHEMATICS TITLES on display atAMS in January, 1984

PURE AND APPLIED MATHEMATICS: A Series of Monographs and Textbooks

VOLUME 60 VOLUME 76 A First Course in Differential Geometry and Differential Geometry Relativity Theory lzu Vaisman An Introduction ". . .. a caref~lly thought out and consistent pre­ Richard L. Faber sentatiOn .... radical -JOSEPH E. D'ATRI, Rutgers University "The topical coverage is excellent-and because of the inclusion of differential geometry 1984 184p ISBN 0-8247-7063-3 $32.50 a~d physi.?s- ... I would adopt this text no matter wnat. ... -THOMAS W. TUCKER, Yale University 1983 272p ISBN 0-8247-1749-X $29.75 VOLUME 79 Relative Invariants for Rings VOLUME 75 The Commutative Theory The Theory of F. Van Oystaeyen and A. Verschoren Topological Semigroups Utilizing new techniques for studying rings, this in­ J. H. Carruth, John A. Hildebrant, novative volume provides a coherent abstract theory and Robert J. Koch of invariants and explores applications in a variety Offers detailed presentations of proofs and proper­ of settings. ties for the numerous examples cited, as well as 1983 272p ISBN 0-8247-7043-9 $42.50 alternative approaches with a format of lemmas unavailable in other sources. 1983 256p ISBN 0-8247-1795-3 $34.75 VOLUME 76 Commutative Group Algebras VOLUME 74 Gregory Karpilovsky Statistical Theory and Presents the first systematic account of this subject Random Matrices -from foundations of the theory to the latest dis­ Moshe Carmeli coveries-including many previously unpublished The first work to summarize the idea of statistical results. mechanics of nuclei based on an ensemble of sys­ ISBN 0-8247-1918-2 $39.75 1983 240p tems where all possible laws of interaction are equally probable. 1983 224p ISBN 0-8247-1779-1 $35.00 VOLUME77 Polynomials and VOLUME 73 Linear Control Systems Foundations of Euclidean and Stephen Barnett Non-Euclidean Geo·metry "This is a well written book ... suitable for both Richard L. Faber engineers and applied mathematicians ..." "The content is important and Interesting ...." -ZUHAIR NASH ED, University of Delaware·, Newark -JOHN KENELLY, Clemson University 1983 472p ISBN 0-8247-1898-4 $35.00 1983 352p ISBN 0-8247-1748-1 $29.75

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MARCEL DEKKER, INC. 270 Madison Avenue, New York, N.Y. 10016 • (212) 696-9000

Form No. AMS-1/84 Printed In U.S.A.

125 Only Harper & Row texts make math this accessible. Or practical. NEW! Britton & Bello TOPICS IN CONfEMPORARY MA111EMATICS 1bird Edition In its new edition this popular text continues chapter with many new practical applica­ to put math within the grasp of el!E?1'J' liberal tions, and revised chapters on probability arts student by relating basic concepts to so­ and on calculators and computers. There is a ciology, psychology, business, and consumer new section on problem solving, giving the concerns. Now includes a new chapter on RSTIN method. 1/84. 656 pages/tent. Instruc­ consumer mathematics, a new chapter on tor's Manual. counting techniques, a revised geometry NEW! Leithold ESSENTIAlS OF CALCULUS FOR BUSINESS, ECONOMICS, LIFE SCIENCES, SOCIAL SCIENCES Addressed specifically to students who need sible. The coverage of each new concept an appreciation of the uses of calculus, this begins, where possible, with a problem in­ text features a wealth of applications to such volving an application. Few theorems are for­ areas as business, economics, biology, medi­ mally proven; most are discussed in careful, cine, sociology, psychology, and statistics. step-by-step explanations that show what Louis Leithold again demonstrates his ability concepts imply. 12/83. 492 pages. to make fundamental concepts readily acces- Ansv•er Manual. NEW! Peterson & Hobby INfERMEDIATE ALGEBRA FOR COUEGE S'ItJDENfS Sixth Edition Carefully paced and heavily practice-ori­ homework problems are carefully con­ ented, this text explains the basics of algebra structed and graded by degree of difficulty from operations with real numbers to se­ Little-known techniques simplify complex quences and series. Short, step-by-step sec­ operations, notably in the sections on factor­ tions within chapters help students teach ing trinomials and solving quadratic inequal­ themselves one idea or type of problem at a ities by graphic inspection. time. Each section illustrates problem solu­ 9/83. 418 pages. Answer Key. tions with numerous examples. The text's 1b request examination copies, write to Suite 30, Harper & Row; 10 East 53d Street, New York, NY, 10022. Please include course title, enrollment, and present text.

126 Innovation for the 80s

Don't miss the excitement in January at the American Mathematical Society meeting in Louisville. Visit the Scott, Foresman Booth or write Meredith Hellestrae, Dept. SA-NAMS 1900 East Lake Avenue Glenview, Illinois 60025 .Scott, Foresman and Company

127 Seminaire de Chaire mathematiques Aisenstadt superieures Editor : Anatole Joffe This series is assigned for publication of all conferences given This series presents the notes of the lectures given atthe Seminaire since 1970 at the Centre de recherches mathematiques of the de Mathematiques Superieures. This seminar has been organized Universite de Montreal. The generous financial aid of Mr. Andre each summer since 1962 by the Department of Mathematics and Aisenstadt, doctor in theoretical physics of the University of Zurich, Statistics of the Faculty of Arts and Sciences of the Universite de enables the Centre de recherches mathematiques to invite famous Montreal under the auspices of the North Atlantic Treaty Organisa­ research scientists and publish their conferences at Les Presses de tion, the Natural Sciences and Engineering Research Council of I'Universite de Montreal. Canada, the Ministry of Education of Quebec and the Universite de Montreal. These meetings are meant for mathematicians and for PHYSICAL ASPECTS OF LIE GROUP THEORY Robert Hermann, Boston University, Boston, MA graduate, students in mathematics. 197 4, 272 pages. (2-7606-0256-7} D 16 $ QUELQUES PROBLEMES MATHEMATIQUES 81. TOPICS IN POLYNOMIAL AND RATIONAL EN PHYSIQUE STATISTIQUE INTERPOLATION AND APPROXIMATION* Mark Kac, Rockefeller University, New York, NY RICHARD S. VARGA, Kent State University, Kent, OH 197 4, 88 pages. (2-7606-0260-5} D 13 $ 1982, 140pages.(2-7606-0573-6) 0 13$ LA TRANSFORMATION DE WEYL ET LA FONCTION DE WIGNER: UNE FORME 82. APPROXIMATION UNIFORME QUALITATIVE SUR ALTERNATIVE DE LA MECANIQUE DES ENSEMBLES NON BORNES* QUANTIQUE PAUL M. GAUTHIER, Universite de Montreal Sybren R. De Groot, lnstitut de physique theorique WALTER HENGARTNER, Universite Laval, Quebec d'Amsterdam 1982,92 pages. (2-7606-0574-4) D 11$ 1975, 86pages. (2-7606-0279-6) D 13$

83. CONVOLUTIONS IN GEOMETRIC FUNCTION MARIAGES STABLES ET LEURS RELATIONS THEORY* AVEC D'AUTRES PROBLEMES STEPHAN RUSCHEWEYH, Universit!it WOrzburg COMBINATOIRES Donald E. Knuth, Stanford University, Stanford, CA 1982, 170 pages (2-7606-0600-7) D 14 $ 1976/1981, 108pages.(2-7606-0529-9) D 14$ 84. CHARACTERISTIC PROPERTIES OF QUASI DISKS* SUR QUELQUES QUESTIONS D'ANALYSE, FREDERICK W. GEHRING, University of Michigan DE MECANIQUE ET DE CONTRCLE OPTIMAL 1982, 100 pages (2-7606-0601-5) D 11 $ Jacques Louis Lions, College de France 1976,212pages.(2-7606-0339-3) D 18$ 85. CURVES IN PROJECTIVE SPACE JOE HARRIS, Brown University SYMETRIES, JAUGES ET VARIETES DE 1982, 140 pages. (2-7606-0603-1) GROUPES D 13$ Yuval Ne'eman, Universite de Tel Aviv 1979, 144pages(2-7606-0441-1) D 14$ 86. LES INEGALITES DE MARKOFF ET DE BERNSTEIN LA THEORIE DES SOUS·GRADIENTS ET SES QASIR IBADUR RAHMAN, Universite de Montreal GERHARD SCHMEISSER, Universite de Erlangen APPLICATIONS A L'OPTIMISATION Fonctions convexes et non convexes 1983, 160 pages. (2-7606-0605-8} 0 15 $ R. Tyrrell Rockafellar, University of Washington, Seattle, WA *NATO Advanced Study lnstitue 1979, 172 pages (2-7606-0436-5} D 15 $ ORDER FORM D Please keep me informed of any new publication in mathematics. D Please send me copies of the titles marked above. D Payment enclosed (cheque or money order) plus 10% for shipping cost. Name ______Address ______

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128 The University Series in Mathematics Series Editor: Joseph H. Kohn ------· Documenting a milestone in the history of mathematics... FINITE SIMPLE GROUPS THE CLASSIFICATION OF An Introduction to Their FINITE SIMPLE GROUPS Classification Volume 1: Groups of by Daniel Gorenstein, Rutgers, The State Noncharacteristic 2 Type University of New Jersey by Daniel Gorenstein "The author is one of the handful of people ... Drawing upon the results described in Finite Simple capable of writing a book such as this .... I don't Groups, this volume provides a comprehensive think this book will be replaced for some time to outline of the classification of simple groups of non­ come. I recommend it to anyone who has the characteristic 2 type. The book is divided into five slightest curiosity about the classification of finite simple groups." chapters corresponding to the major divisions of the proof: -Walter Feit, Bulletin of the American Mathematical Society • simple groups of 2-rank :5 2 • simple groups of low 2-rank Provides the reader with considerable insight into • centralizers of involutions in simple groups simple group theory and, in particular, the overall • the B-theorem and locally unbalanced groups picture of the fundamental four-part s-ubdivision of • the classification of groups of component type the classification proof, the group theoretic origins, This volume makes the classification of groups of definitions of each of the known simple groups, and noncharacteristic 2 type accessible to any mathe­ the methods that have been developed for the study matician. of simple groups. 498 pp., illus., 1983, $59.50 344pp., illus., 1982,$29.50 INTRODUCTION TO PSEUDODIFFERENTIAL "This account by Treves is the first extensive treat­ ment in English in book form. It presupposes stan­ AND FOURIER dard knowledge in real and complex function theory INTEGRAL OPERATORS and functional analysis, but is otherwise reasonably self-contained. All the paradigmatic by Fran~ois Treves, Rutgers, The State topics are University of New Jersey treated, generally prefaced and motivated by discus­ sion of an example .... The treatment is clear and the in two volumes bibliography extensive. These volumes will be a "The style of the author is, as always, very ex­ standard text and reference in the subject." planatory ... and I think very attractive, especially -American Scientist for a beginner to the subject. I think it is a remarkable introduction, or even more than that." Volume 1: 340 pp., illus., 1980, $29.95 -G. Gussi, Die Naturwissenschraften Volume 2: 376 pp., illus., 1980, $35.00

A SCRAPBOOK OF COMPLEX PROBLEMS AND CURVE THEORY METHODS OF OPTIMAL by C. Herbert Clemens, University of Utah STRUCTURAL DESIGN "Clemens's excellent 'scrapbook' reminds me more by N. V. Banichuk, Academy of the Sciences of a family album, where each snapshot shows some of the USSR, Moscow member of the family in a new setting, a new ac­ translated by Vadim Komkov tivity, or new epoch. The author has a fine way of translation edited by Edward J. Haug recounting Jots of mathematics in a relaxed style ... " -Barry Mazur, American Scientist Offers a systematic and careful exposition of many aspects of structural optimization. Much of the in­ Eclectic musings on aspects of the theory of com­ formation is new, and some of it has appeared only plex algebraic curves. Utilizing an informal ap­ in specialized Soviet publications not easily accessi­ proach, provocative ramblings are offered with an ble to Western engineers and mathematicians. This emphasis on motivating future research as opposed English translation also includes a bibliography of to presenting a finished product. Western research articles and collections, supple­ 195 pp., illus., 1980, $27.50 menting the full listing of Soviet work found in the original. Volume 26 in the series Mathematical Con­ cepts and Methods in Science and Engineering. PLENUM PUBLISHING CORPORATION 336 pp., illus., 1983, $42.50 233 Spring Street, New York, N.Y. 10013

129 ARITHMETIC ARITHMETIC FOR David Novak, Simmons College COLLEGE STUDENTS 1983 Paper 514 pages Fourth Edition Instructor's Guide with Tests I Student D. Franklin Wright, Cerritos College Guide to Margin Exercises I Answer 1983 Ooth 386 pages Key I Computerized Testing Package I Instructor's Guide I Student Workbook Video Tapes

INTRODUCTORY INTERMEDIATE ALGEBRA ALGEBRA David Novak, Simmons College David Novak, Simmons College 1983 Paper 586 pages 1983 Paper 668 pages Instructor's Guide with Tests I Student Instructor's Guide with Tests I Student Guide to Margin Exercises I Answer Guide to Margin Exercises I Answer Key I Computerized Testing Package I Key I Computerized Testing Package I Video Tapes Video Tapes Now Available! INTERMEDIATE ALGEBRA Now Available! FOR COLLEGE STUDENTS CALCULUS AND Second Edition ANALYTIC GEOMETRY Lawrence G. Gilligan, Mattatuck Second Edition Community College Philip Gillett, University of Robert B. Nenno, Monroe Community Wisconsin, Marathon County Center College 1984 Ooth 915 pages 1984 Paper 484 pages Three Volume Complete Solutions I Instructor's Guide with Tests I Student Selected Solutions I Introduction to Software Package- Apple® II Plus, Linear Algebra I Calculus with a or Apple® lie Computer BRIEF CALCULUS WITH APPLICATIONS BRIEF CALCULUS WITH Alternate Edition APPLICATIONS Roland E. Larson and Robert P. Roland E. Larson and Robert P. Hostetler, both of The Pennsylvania Hostetler, both of The Pennsylvania State University, The Behrend State University, The Behrend College College 1983 Ooth 433 pages 1983 Ooth 621 pages Answer Key I Student Solutions Answer Key I Student Solutions Manual Manual

130 CALCULUS INTRODUCTION Second Edition TO PASCAL AND Roland E. Larson and Robert P. STRUCTURED DESIGN Hostetler, both of The Pennsylvania Nell Dale and David Orshalick, both State University, The Behrend of the University of Texas at Austin College 1983 Paper 470 pages 1982 Cloth 949 pages Instructor's Guide I Videotapes Instructor's Guide I Study and Solutions Guide I Three Volume New for 1984! Complete Solutions I Calculus with a Computer Heath Computer Language Wheels: Pascal Heath Computer Language Wheels: UNDERSTANDABLE FORTRAN77 Heath Computer Language Wheels: STATISTICS COBOL Concepts and Methods Heath Computer Language Wheels: Second Edition Apple® Pascal Charles Henry Brase, Regis College Heath Computer Language Wheels: Corrinne Pellillo Brase, Arapahoe Applesoft® BASIC Community College Heath Computer Language Wheels: TRS-80rM III BASIC 1983 Goth 489 pages Instructor's Guide Computer wheels designed by Peter M. Ginter and Andrew C. Rucks APPLICATIONS OF COLLEGE MATHEMATICS For details or sample copies, call Mana~ement, Life, and us toll free: 800-225-1388 In Massachusetts, call collect: Soctal Sciences 617-862-6650, ext. 1344 Donald L. Stand and Mildred L. Stand, both of Nichols College D. C. HEATH AND COMPANY 1983 Goth 720 pages College Division r::J Instructor's Guide I Computer Problem­ 125 Spring Street c:1 Solving Guide with TRS-80® II Diskette Lexington, MA 02173 HEATH

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131 ~fT~tb ~8~ 1707-1783 November issue of MATHEMATICS MAGAZINE, edited by Doris Schattschneider 80 pp. Paperbound. Price: $4.00

Two hundred years after 's death, the impact of his prolific work can be seen in eveFy area of mathematics. Mathemat­ ics Magazine, one of the Association's respected journals, cele­ brates his genius with a special issue, November 1983. Seven invited articles, numerous photographs and illustrations, and an annotated glossary containing over forty terms, functions, formulas, equations, techniques and theorems which today bear Euler's name make this issue an important resource. TABLE OF CONTENTS Order your copy from Leonhard Euler, 1707-1783, by J. J. Burckhardt The Mathematical Association Ars Expositionis: Euler as Writer and Teacher, by G. L. Alexanderson ofAmerica 1529 Eighteenth Street NW Euler's Pentagonal Number Theorem, by George E. Andrews Washington, DC 20036 Euler and Quadratic Reciprocity, by Harold M. Edwards Some Remarks and Problems in Number Theory Related to the Work of Euler, by Paul Erdos and Underwood Dudley Euler's Vision of a General Partial Differential Calculus for a Generalized Kind of Function, by Jesper Liitzen Euler and Infinite Series, by Morris Kline

1984 Mathematical Sciences Professional Directory

This directory, published annually, lists key per­ Mathematical Associatton of America sonnel-officers and committee members-of over Mathemaucal Programming Soctety National Academy of Sciences thirty professional mathematical organizations and National Academy of Sciencesj!'l'ational Research Council of a selected group of government agencies, editors Nauonal Association of Mathematicians of over 100 journals, over 3,000 heads of academic National Council of Teache~s of Mathematics departments in the mathematical sciences, and heads Operations Research Society of America of mathematical units in nonacademic organizations. Pi Mu Epsdon Fraternity, Inc. Rocky Mountain Mathematics Consortium Information includes current addresses (including SIAM Institute for Mathematics and Society (SIMS) telephone numbers in many cases), terms of office, Society for Industrial and Applied Mathematics and other pertinent information for organizations Society for Mathematical Biology, Inc. represented. Society of Actuaries The Institute of Management Sciences TABLE OF ('0:-

132 Continua, Decompositions, RESEARCH IN Manifolds Proceedings of Texas DISCRI,.I Topology Symposium, 1980 Edited by R. H. Bing, William T. Eaton, IIA,.BIIIA,.ICS and Michael P. Starbird Applications are invited for open­ Twenty-three papers on continua theory, ings for members of the technical decomposition spaces, manifolds, linear staff to participate in mathematical isotopies, and other topics present the cut­ research projects. Successful can­ ting edge of current research in topology didates will work in association by leading scholars. A significant acquisi­ with engineering staff engaged tion for all topologists and mathematical in research and development in and research libraries. 279 pages, 4lline such areas as: Spread Spectrum drawings, $30.00 hardcover. Communications, Digital Signal Processing, Coding Theory, Free shipping on prepaid orders. VLSI Design and Computer Architecture. Qualifications sought for these openings include a Ph.D. in mathematics and demonstrated research ability. U.S. Citizenship is required. University of Texas Press should submit a resume Applicants BOX 7819 AUSTIN, TEXAS 78712 including a list of publications directly to: D.O. Carhoun, R-linear Endomorphisms Mathematics Research Group, of (R) preserving invariants The MITRE Corporation, n Bedford, MA 01730. Deadline for Bernard R. McDonald applications is 15 March 1984. If This Memoir examines and classifies the R-endo­ interested in applied mathematics morphisms of (R)n which preserve rank one matrices, positions in the Washington DC where R denotes a commutative ring with identity area, please forward a resume to and (R)n the matrix ring of size n over R. This ex­ M.X. Mason, 1820 Dolley tends the standard work of Marcus and Moyls over Madison Blvd., McLean, VA an algebraically closed field. These rank one preserv­ 22102. ing maps are invertible and their groups are discussed and related to the Picard group Pic(R). Applications MITRE is an equal opportunity of the above results include a classification of those R-endomorphisms of (R)n which preserve the deter­ employer actively seeking applica­ in 1897 action minant. This latter result dates to Frobenius tions under its affirmative where the solution was given over the complex field. program. This Memoir additionally contains a study of the invertible R-submodules of (R)n, a description of the rank one matrices, and a theory of generalized equiv­ THE alence transformations. 1980 Mathematics Subject Classifications: 15A33, 15A72, ENVIRONMENT 13C10 Memoirs of the American Mathematical Society TO DO WHAT Number 287, iv + 68 pages (soft cover) List price $10, institutional member $8, individual member $5 YOU DO BEST. ISBN 0-8218-2287-X; LC 83-15648 Pu&lication date: November 1983 To order, please specify MEM0/287N

Prepayment is required. Send to AMS, MITRE Rl 02901 P.O. Box 1571, Annex Station, Providence,

133 saunders College Publishing Announces CALCULUS Dennis Berkev, Boston University Available In December! 1200 pages lapprox.l • hardcover • ISBN 0·03·059522·3

II PrOfessor Berkey has a gift for expressing extremely complicated ideas lucidly and coherently... His tutoring in mathematics has rendered the subject not only accessible, but enjoyable, to many who had previously found it arcane and forbidding ... As a teacher in class and out, of students and faculty, Dennis Berkey has exhibited a depth of commitment that is its own reward, but that Boston University wishes to recognize through its most prestigious teaching award. II Boston university commencement, 1978

Dennis Berkey was awarded The Metcalf cup and Prize In 1978 because Of his ability to assess the problems and needs Of stu­ dents, his gift for expressing Ideas clearly, and his meticulous attention to detail. Berkey has successfully captured these qualities in his textbook.

Supplements ... FLOPPY CALCULUS RObert A. Bonlc & Michael Kazlow Pace University Suitable for class demonstration, self-studv. and computer labs, Includes a 200-page manual Of exercises with a diskette Of pro­ grams for the Apple 11 + or lie computers. INTERFACE: Calculus and the computer: second Edition David A. Smith Duke University Designed for use In computer labs, Introduces students to numeri­ cal approximation and computatiOn. Most Of the text Is language­ Independent; some elements Of programming In BASIC are Included.

134 THE BARKERIROOERS/VAN DYKE SERIES Jack Barker, James Rogers, & James van Dyke Portland community College The same applications orientation that has made these developmental worktexts successful has been Incorporated Into the two new hard· cover bookS In the series. Features: Newt • Each section begins with ELEMENTARY ALGEBRA an application to Illustrate 1984 • 432 pages capprox.l the mathematical principle • hardcover • ISBN 0·069326·8 • Easy-to-fOllow modular Newt fOrmat creates an effective ALGEBRA FOR COLLECE STUDENTS teaching system 1984 • 544 pages capprox.l • comprehensive padcage • hardcover •ISBN0-03·069324·1 Includes an Instructor's ARITHMmC, Third Edition Manual, Test Bank, Prepared 1983 • 509 pages • paper Tests, Diagnostic Tests, and • ISBN 0·03·062397·9 Audio Tapes for each text BASIC ALGEBRA • computerized Test sante now 1983 • 448 pages • paper available for use with the • ISBN 0·03·058962·2 Apple II+ or lie computer. Enables you to print out over INTERMEDIATE ALGEBRA 3,000 questions using mathe· 1983 • 554 pages • paper matlcal notation and graphs. • ISBN 0·03·058959·2

And don't forget these outstanding texts... THE GROZA/SELLERS MATH SERIES croza & Sellers­ VIvian Shaw croza & Gene R. Sellers INTERMEDIATE ALGEBRA, saaamento City College second Edition 1981 • 777 pages • paper Croza- • ISBN 0·03·057722·5 ARITHMmc 1982 • 539 pages • paper ALGEBRA AND TRIGONOMETRY • ISBN 0·03·060109·6 1982 • 804 pages • paper ELEMENTARY ALGEBRA, • ISBN 0·03·060107-X Third Edition TRICONOMETRY 1981 • 659 pages • paper 1980 • 300 pages • paper • ISBN 0·03·057119·5 • ISBN 0· 7216·4325·6

TECHNICAL MATHEMAnCS, ESSENTIALS OF BUSINESS Third Edition MATHEMAntS, Third Edition Jacqueline Austin w. Alton Parish & & Margarita lsem William L. Klndsfather Miami Dade, community College Tarrant county Junior College 1983 • 544 pages • paper 1983 • 425 pages • paper • ISBN 0·03·061234·9 • ISBN 0·03·062566·1

- saunders College PUblishing • 383 Madison Avenue • New York, NY 10017 HOW to order For examinatiOn copies, please contact your local saunders COlleGe PubliShinG saleS representltiVe or wr1te on your letterhead to: Ann Heath, Dept SM'I, saunders C"ollege PubliShing, RO. aox 36, LIVIIIette, NJ 0873S. Include yaur course title, enrollment, 111c1 text CUrrently In use. To expedite ShiPPI~Iease Include tne ISBN Untemltlonal standard Book Numberl fOr eacn Item reQ . SM'I-3 AIIIATYC-11

135 zngineers•.. athe,.,"'aactans Re . searchs. Ctentists Acade,.,.., De'P H, TECHNICAl ·•ilc artment p D M. eads roduct evefopment anagers. 5 1 Manuscri'Pt!Reportl.r' r-ropo a Wrtters Teach ers TYP/IIIi Physicians

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MATHFILE is the online database of Mathematical Reviews (MR) produced by the American Mathematical Society. It provides essentially complete worldwide coverage of pure and applied mathematics as well as mathe· matical applications in other fields such as physics, engineering, computer science, biology and operations research. MATHFILE provides excellent and quick access to the international mathe­ matical research literature. Using Boolean logic, one can identify and inter­ sect mathematical terms and concepts, authors, publishers, journals, and AMS classifications, to produce research information, bibliographies, statistics, etc., about mathematics. Information published in MR since 1973 is contained in MATHFILE, including the full text of the reviews beginning with July 1979. MATHFILE is available electronically through online vendors DIALOG, BRS and SAMSOM. Communicate with the vendors directly to establish accounts. Costs to use MATHFILE vary with the vendor. Connect time charge is approximately $60/hour. Professional librarians access the online systems daily and can perform most searches within 5 to 10 minutes. A NEW, simplified low-cost system has been designed tor home computer use-BRS/After Dark. MATH Fl LE is accessible through After Dark at the greatly reduced rate of $13/hour from 6 p.m. to 12 p.m. The system is menu­ driven, eliminating the need tor long manuals and training. Communicate with BRS for account and system information. DIALOG Information Services BAS and BAS/After Dark Samsom Data Systemen 3460 Hillview Ave. Bibliographic Retrieval Services Data Base Services, P.O. Box 180 Palo Alto, CA 94304 1200 Route 7, Latham, NY 12110 2400 EB Alphen aan den Rijn (800·227-1960 or (800-833-4 707 or The Netherlands 800·982-5838 in Calrfornia) 518-783-1161 in New York) (01720) 62195 or (+31)172062195 outside The Netherlands. MATHFILE USER'S GUIDE. This 360-page loose-leaf Guide, which is updated as necessary, is designed to help the user access information more quickly and efficiently. $55 list and $41 for AMS members. See the AMS catalogue for more information. DOCUMENT DELIVERY SERVICE. Mathematical Reviews is offering a document delivery service which will provide copies of original articles reviewed in MR. Users of MATHFILE may place orders online through DIALOG (Dial­ order), BRS (electronic mail), or directly with Mathematical Reviews (by mail or telephone). Requests to MR will be filled and mailed within 48 hours of receipt. If MR cannot fill the order, it will be forwarded to an appropriate library tor possible inter-library loan. For each article requested, the first 10 pages or fewer will cost $12. Additional pages beyond the first 10 will be $2 for 10 pages or fewer. Copyright royalties will be added in compliance with Copyright Clearance Center regulations.

For more information: MATH Fl LE and user aids Document Delivery and MR Taissa T. Kusma Bonita D. Ross Database Specralist, American Mathematical Society Librarian, Mathematical Reviews 201 Charles Street, P.O. Box 6248 611 Church Street, P.O. Box 8604 Providence, Rl 02940 Ann Arbor, Ml 48107 (401) 272-9500 (313) 764-7228 u-- u ~Oil: ~ u"' ~ ~ § !E "' u ·- 0 &. uc ·-="'C u "'C ~ Your library cannot be complete :2 ~ .5 "'~ "' > "'C u 0 c -~ "'C £t ~ without these Springer series ... c 0 ... u ~ "'C Applications of Mathematics Perspectives in Mathematical Logic ~ ·a Emphasizing non-classical topics, this series Explores the diversity of mathematical logic: its provides new learning tools in applying modern interconnections between different lines of mathematics to the fields of economics, biology, research, and the links with other branches of and engineering. mathematics. Applied Mathematical Sciences Problem Books in Mathematics This series is an outlet for informal texts that A series of books devoted entirely to problems, anticipate the needs of mathematicians and on all levels. students interested in applying mathematics. Just recently, several important books on nonlinear Studies in the History of systems and bifurcation theory appeared. Mathematics and Physical Sciences Biomathematics Together with its twin, Sources in the History of Mathematics and Physical Sciences, these series The analytical treatment of biological problems deal with significant problems and methods in in this series establishes a meeting ground for the history of science. mathematics, biology, and medicine, stimulating the interaction of ideas and methodologies. Springer Series in Computational Ergebnisse der Mathematik, 3., Mathematics Folge Examines the applications of computing in numerical analysis, optimization, control theory, A Series of Modern Surveys in combinatorics, applied function theory, and Mathematics applied functional analysis. The overall aims of the series have remained Springer Series in Statistics unchanged for five decades. Each volume is a reliable reference covering an important area of Provides method-and field-oriented statistics for advanced mathematics, guiding the reader use in medicine and the behavioral, social and through the main developments and trends in nat ural sciences. current research. Springer Tracts in Natural Philosophy Grlllluate Texts in Mathematics This well-established series is devoted to topics These teaching aids bridge the gap between in applied statistics, with special emphasis on passive learning and active research; intro­ engineering applications. After a lacuna of some ducing advanced students to current research. time, several volumes are scheduled to appear in 1984/85. Gnmdlehren der mathematischen Wissenschqften Tata Institute Lectures on A Series of Comprehensive Studies Mathematics in Mathematics This is a series of advanced lectures on various research subjects, given at the Tata Institute of Founded in 1921, the "Yellow Series" provides Fundamental Research in Bombay. These comprehensive and authoritative monographs on volumes would not ordinarily be available mainstream topics. outside India. Lecture Notes in Biomathematics Undergrlllluate Texts in This series publishes new applications and Mathematics theories in mathematical biology. The books in this series are trendsetters, and not Lecture Notes in Mathematics merely standard introductory textbooks. Now celebrating publication of Volume 1000, Universitexts ~ this series presents informal conference pro­ LU 0 English language textbooks on specialized 0 ceedings and monographs. Its spans the entire topics, N u ~ geared toward graduate 0\ 0\ range of modern mathematics. and advanced under­ 0 N graduate students. Advisors: F.W. Gehring, ~ II) 0 N Lecture Notes in Statistics P.R. Halmos, and C.C. Moore. ...1 Q2 Applications of statistical methods in the life § < u u~ sciences, physics, engineering, political science, z i= u psychology, and other areas are the central II) c II) < "0 topics. :E -8 Ill ·:;;: Ill LU ...c For more -II) ::1: 0 information write: Sprincer-Verlag New York ln.c. :E 1- a...... ~ 175 Fifth Avenue. New York. N.Y. 10010 :::1 < < 010~ 1.:1 u :E ~ ..c... z N t .... \C ~., Springer-Verlag New York Berlin Heidelberg Tokyo Vienna 0 < >< 0 [SJ u Q,. u Q2 c8 u"' ...c ... LU .a 0 :E 0 Ill z < a.: Clii: