Notices of the American Mathematical Society

April 1981, Issue 209 Volume 28, Number 3, Pages 217- 296 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· 'an 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· lng. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the offi'e of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Soc:iety in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· strKts submitted for consideration for presentation at special 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 ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 787 June 19-20, 1981 Portland, Oregon APRIL 20 June 788 August 17-21, 1981 Pittsburgh, Pennsylvania JUNE 1 August (85th Summer Meeting) October 17-18, 1981 Amherst, Massachusetts November 6-7, 1981 Austin, Texas january 13-17, 1982 Cincinnati, Ohio (88th Annual Meeting) April 16-17, 1982 Madison, Wisconsin August 23-27, 1982 Toronto, Ontario, Canada (86th Summer Meeting) january 5-9, 1983 Denver, Colorado (89th Annual Meeting) January 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) January 9-13, 1985 Anaheim, California (91 st Annual Meeting) january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

ADDITIONAL DEADLINES JUNE ISSUE AUGUST ISSUE Advertising April 29 June 17 News and Special Meetings April 13 June 1

OTHER EVENTS SPONSORED BY THE SOCIETY

June 29-July 11, AMS-SIAM Summer Seminar on Fluid-Dynamical Problems in Astrophysics and Geophysics, University of Chicago, Chicago, Illinois, This issue, page 232 July 20-August 7, AMS Summer Institute on Singularities, Humboldt State University, Arcata, California, This issue, page 232 August 15-16, AMS Short Course: Mathematics of Networks, Pittsburgh, Pennsylvania. This issue, page 237

Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are pre· pared four to six weeks in advance of the date of mailing. Requests for a change of address should always include the mem· ber or subs,riber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service 'hange-of·address forms are not adequate for this purpose, since they make no provision for several important items of infor· mation which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). The Society rents three post office boxes in Providence. All general correspondence should be addressed to the Society at Post Office Box 6248, Providence, Rl 02940; dues payments and orders for Society publications (except for ElMS) should be addressed to Post Office Box 1571, Annex Station, Providence, Rl 02901; all correspondence relating to preregistration for meetings or to Employment Information in the Mathematical Sciences should be addressed to Post Office Box 6887, Providence, Rl 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, Rl 02904. Second class postage paid at Providence, Rl and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, Rl 02940.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U.S. Postal Service. This address should never be used by correspondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the Society themselves of address changes (in the manner described above), ~ince (as explained above) reliance on the postal service change·of·address forms is liable to cause delays in processing such requests In the AMS offl". Notices of the American Mathematical Society

Volume 28, Number 3, April 1981

EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard ]. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst

ASSOCIATE EDITOR FOR QUERIES Hans Samelson 218 MEETINGS OF THE SOCIETY SUBSCRIPTION ORDERS Reno, Nevada, April 24, 218 Notices is published eight times a Pittsburgh, Pennsylvania, May 15, 223 year (January, February, April, June, Portland, Oregon, june 19, 230 August, October, November, and Summer Seminar, December). Subscription for Vol. 28 Chicago, Illinois, june 29, 232 (1981), $22.00 list, $11.00 member. Summer Institute, Arcata, California, july 20, 232 The subscription price for members Pittsburgh, Pennsylvania, August 15, 234 is included in the annual dues. Sub­ Special Sessions, 233; Invited Speakers, 233 scriptions and orders for AMS publi­ cations should be addressed to the 250 1981 AMS ELECTIONS (Nominations by Petition) American Mathematical Society, 254 P. 0. Box 1571, Annex Station, CASE STUDIES: Mathematicians with Providence, R.I. 02901. All orders Nonacademic Employment must be prepaid. 255 QUERIES ADVERTISING & INQUIRIES 256 NEWS AND ANNOUNCEMENTS The Notices publishes situations wanted and classified advertising, 259 LETTERS TO THE EDITOR and display advertising for publishers 265 SPECIAL MEETINGS and academic or scientific organiza­ tions. Requests for information: 270 NEW AMS PUBLICATIONS Advertising: Virginia Biber Change of address or subscriptions: 272 MISCELLANEOUS Rena Harty Personal Items, 272; Deaths, 272; To avoid interruption in service please New Doctorates (Supplement), 273 send address changes four to six weeks in advance. It is essential 274 AMS REPORTS AND COMMUNICATIONS to include the member code which Recent Appointments, 274; Reports appears on the address label with of Meetings: all correspondence regarding San Francisco, 274; Officers of the Society subscriptions. Address correspondence 1980 and 1981, 277 to American Mathematical Society, 278 AMS BOOK SALE P.O. Box 6248, Providence, Rl 02940. Telephone 401-272-9500. 285 ADVERTISEMENTS Second class postage paid at 292 REGISTRATION FORMS Providence, Rl, and additional mailing offices. Copyright © 1981 by the 1981 Summer Applicants List, 292, 293; American Mathematical Society, Pittsburgh Preregistration and Housing Printed in the United States of America. Reservation Forms, 295, 296 Reno, April 24-25, 1981, University of Nevada Program for the 785th Meeting

The seven hundred eighty-fifth meeting of the Random permutations, GERALD W. KIMBLE, American Mathematical Society will be held at the University of Nevada, Reno. The speakers will be University of Nevada, Reno, Nevada, on Friday and Solomon W. Golomb, Derrick H. Lehmer, and Saturday, April 24-25, 1981. The meeting will be Harald G. Niederreiter. held in conjunction with a meeting of the Northern Stochastic processes, ALAN CARY KRINIK, California Section of the Society for Industrial and University of Nevada, Reno. The speakers will be Applied Mathematics (SIAM). All sessions will be David j. Aldous, Bruce Walker Atkinson, J. R. Blum, held at the Scrugham Engineering and Mines Building. Robert M. Blumenthal, Michael D. Brennan, Richard Invited Addresses Andrew Holley, james P. Kelsh, Alan Cary Krinik, Marc Mangel, M. M. Rao, james B. Robertson, Z. R. By invitation of the Committee to Select Hour Pop-Stojanovic, and David S. Shucker. Speakers for Far Western Sectional Meetings, there will be two invited one-hour addresses. The speakers, Contributed Papers times, and titles of their talks are as follows: There will be sessions for contributed ten-minute ROBERT E. GREENE, University of California, papers on Friday and Saturday. Late papers will be Los Angeles, 1:00 p.m. Friday, Geometric properties accepted for presentation at the meeting, but will not of strongly pseudo-convex domains. appear in the printed program. CALVIN H. WILCOX, University of Utah, 1:15 p.m. Saturday, The method of asymptotic wave SIAM Program functions in scattering theory. The SIAM program will include an hour address by Professors GORDON LATIA and PETER C. C. Special Sessions WANG, entitled A mathematical look at micro­ By invitation of the same committee, there will processors and some of their uses. be five special sessions of selected papers. The topics of these special sessions, the names of the organizers, Registration and the lists of speakers are as follows: The registration area will be on the first floor of Potential theory, MAYNARD G. ARSOVE, Uni· the Scrugham Engineering and Mines Building. Reg­ versity of Washington. The speakers will be Thomas istration on Friday will be from 1:00 p.m. until E. Armstrong, Maynard G. Arsove, Bill Cohn, Paul 3:00 p.m. and on Saturday from 8:30 a.m. until M. Gauthier, Moses Glasner, Myron Goldstein, Kohur noon and from 1 :00 p.m. until 2:30 p.m. The reg­ N. Gowrisankaran, Howard L. jackson, Guy johnson, Jr., Peter A. Loeb, and Wellington H. Ow. istration fees will be $6 for members of AMS or C*-algebras, BRUCE E. BLACKADAR, University SIAM, $8 for nonmembers, and $2 for students and of Nevada, Reno. The speakers will be Bruce E. unemployed mathematicians. Blackadar and Yaakov Friedman. Food Service Automatic theorem proving, WOODROW W. BLEDSOE, University of Texas, Austin. The speakers The only eating facility on campus which will be will be Michael Ballantyne, Woodrow W. Bledsoe, open on Saturday is the jot Travis Student Union Robert S. Boyer, Alfredo Ferro, Ewing L. Lusk, and Cafeteria. A list of restaurants off and near campus L. Wos. will be available at the registration desk.

Accommodations There are many hotels and motels not far from the university campus. The follow­ ing is a selection of a few convenient ones. The rates are projected for spring 1981 and are subject to change. They do not include the six percent hotel-motel tax. In some instances special rates may be allowed for participants in university conventions.

Motel Capri (702-323-8398) Motel 6 (702-747-2676) Tiny's Motel (702-329-9248) 895 North Virginia Street 89501 1400 Stardust 89501 850 North Virginia Street 89501 Single $21 up Double $25 up Single $13 up Double $17 up rates unavailable at press time Coed Lodge (702-329-2742) Motel 6 (702-786-0180) Uptown Motel (702-323-8906) 800 North Virginia Street 89501 866 North Wells Avenue 89501 570 North Virginia Street 89501 Single $26 up Double $26 up Single $13 up Double $17 up Single $30 up Double $32 up Flying J Motel (702-329-3464) Showboat Inn (702-786-4032) Western 6 (702-329-8681) 1651 Nqrth Virginia Street 89503 660 North Virginia Street 89501 666 North Wells Avenue 89501 Single $18 up Double $22 up Single $24 up Double $28 up Single $18 up Double $19 up Eldorado Hotel (800-648-5966, toll free) Sundowner Hotel (800-648-5490, toll free) 345 North Virginia Street 89501 450 North Arlington 89501 Single $30 up Double $43 up Single $32 up Double $38 up

218 Travel Information Parking will be available in the campus lot accessible The southwest corner of the campus is at Ninth from about 1600 North Virginia Street. Street and North Virginia Street, one block north of Reno is served by Amtrak (toll free number the Interstate 80 east-west freeway. Persons driving 800-648-3850) and by Greyhound Buslines, Conti­ from the west should take the Sierra Street-Virginia nental Trailways, and the Las Vegas-Tonopah-Reno Street exit (Exit 13), and from the east, the Virginia Stage Lines. Street-Business exit (Exit 13}. Persons driving from Reno International Airport is approximately three either north or south on Highway 395 should travel miles from the campus. Taxi fare to the cam­ pus and on Virginia Street which is Business Highway 395. motel area is about $6.

PRESENTERS OF PAPERS

Following each name is the number corresponding to the speaker's position on the program

• Invited one-hour lecturers * Special session speakers

*Aldous, D.). 37 *Cohn, B. 13 *Holley, R. 20 Oliva, F. 39 AI-Rashed, A. M. 44 de Laubenfels, R. J. 42 Hunt, L. R. 40 *Ow, W. H. 33 *Armstrong, T. E. 30 Ethier, S. N. 46 lshaq, M. 27 *Pop·Stojanovic, Z. R. 47 *Arsove, M. 8 *Ferro, A. 6 *jackson, H. L. 12 Rao, D. V. 28 *Atkinson, B. 49 *Friedman, Y. 16 *Johnson, G. 9 *Rao, M. M. 17 *Ballantyne, M. 4 *Gauthier, P. M. 32 *Kelsh, ). P. 35 *Robertson,). B. 34 *Biackadar, B. E. 15 Giardina, C. R. 25 *Krinik, A. 21 Robinson, D. W. 26 *Bledsoe, W. W. 7 *Glasner, M. 10 Labreche, M. 41 Ross, K. A. 45 *Blum,). 18 *Goldstein, M. 31 *Lehmer, D. H. 50 Sahab, S. M. A. 43 *Blumenthal, R. M. 36 *Golomb, S. W. 51 *Loeb, P. A. 11 *Shucker, D. S. 48 *Boyer, R. S. 5 *Gowrisankaran, K. 14 * Lusk, E. L. 2 •Wilcox, C. H. 38 *Brennan, M. D. 19 •Greene, R. E. 1 *Mangel, M. 22 *Wos, L. 3 Case, ). H. 24 Griese!, M. A. 23 *Niederreiter, H. 52

PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions the time varies from session to session and within sessions. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the April 1981 issue of Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses follow­ ing the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

ALL SESSIONS WILL BE HELD IN SCRUGHAM ENGINEERING AND MINES BUILDING FRIDAY, 1 :00 P. M. AMS Invited Address, Room 101 (1) Geometric properties of strongly pseudo-convex domains. Professor ROBERT E. GREENE, University of California, Los Angeles (785-32-11} FRIDAY, 2:10P.M. Special Session on Automatic Theorem Proving, Room 351 2:10- 2:30 (2) Con computers prove theorems? Professor EWING L. LUSK, Northern Illinois University (785-68-14} (Introduced by Professor Woodrow W. Bledsoe} 2:40- 3:00 (3) Solving open questions in mathematics with on automated theorem-proving program. Dr. L. WOS, Argonne National Laboratory, Argonne, Illinois (785-68-15) (Introduced by Professor Woodrow W. Bledsoe} 3:10- 3:30 (4) New decision procedures for finitely presented groups and semigroups. Professor MICHAEL BALLANTYNE, University of Texas, Austin 3:40- 4:00 (5) Computer program verification. Dr. ROBERTS. BOYER, SRI International, Menlo Park, California (785-68-4) (Introduced by Professor Woodrow W. Bledsoe} 4:10- 4:30 (6) Decision procedures for elementary sublanguages of set theory. Dr. ALFREDO FERRO, Courant Institute of Mathematical Sciences, New York University (785-03-16) 4:40- 5:00 (7} Computer proofs of theorems in intermediate analysis. Professor WOODROW W. BLEDSOE, University of Texas, Austin (785-68-8}

219 FRIDAY, 2:10P.M. Special Session on Potential Theory. I, Room 255A 2:10- 2:30 (8) A characterization of quos/units in semigroups of superhormonic functions. Professor MAYNARD ARSOVE*, University of Washington, and Professor HEINZ LEUTWILER, Universitat Erlangen-Nilrnberg, Federal Republic of Germany (785-31-42) 2:40- 3:00 (9) On the Green mopping for a Dirichlet domain in the plane. Professor MAYNARD G. ARSOVE, University of Washington, and Professor GUY JOHNSON*, Syracuse University {785-31-41) 3:10- 3:30 (10) Examples of malformed subregions of a Riemann surface. Professor MOSES GLASNER, Pennsylvania State University, University Park {785-31-30) 3:40- 4:00 (11) A standard-analysis proof of a generalization of the Riesz-Herglotz theorem on representing measures. Professor PETER A. LOEB, University of Illinois, Urbana­ Champaign (785-31-31) 4:10- 4:30 (12) Some exceptional sets in a half plane. MATTS ESSEN, Royal Institute of Technology, Sweden, and HOWARD L. JACKSON*, McMaster University {785-31-44) 4:40- 5:00 (13) Level sets of covering mops with infinite length. Professor BILL COHN*, Wayne State University, and Professor CHARLES BELNA, Syracuse University {785-31-46) (Introduced by Professor R. Bruner) 5:10- 5:30 (14) Multipolar sets and capacities. Preliminary report. Professor KOHUR GOWRISANKARAN, McGill University (785-31-51)

FRIDAY, 2:10P.M. Special Session on C*-algebras, Room 346 2:10- 2:30 (15) Dimension functions and traces on C*-olgebros. Professor BRUCE E. BLACKADAR*, University of Nevada, Reno, and Professor DAVID HANDELMAN, University of Ottawa {785-46-35) 2:40- 3:00 (16) Contractive projections and jordan triple systems. Dr. YAAKOV FRIEDMAN* and Professor BERNARD RUSSO, University of California, Irvine {785-46-26)

FRIDAY, 2:10P.M. Special Session on Stochastic Processes. I, Room 234 2:10- 2:30 {17) A representation theorem for weakly hormonizoble processes. Professor M. M. RAO, University of California, Riverside {785-60-1 0) 2:40- 3:00 (18) Exchangeability and quasi-exchangeability. Professor J. R. BLUM, University of California, Davis {785-60-5) 3:10- 3:30 (19) Splitting intervals. Professor MICHAEL D. BRENNAN*, University of Southern California, and Professor RICHARD DURRETT, University of California, Los Angeles (785-60-28) 3:40- 4:00 (20) Diffusions on on infinite dimensional torus. Professor RICHARD HOLLEY* and Professor DANIEL STROOCK, University of Colorado, Boulder {785-60-22) 4:1 0- 4:30 (21) The martingale problem for diffusions in a Hilbert space. Professor ALAN KRI Nl K, University of Nevada, Reno (785-60-49) 4:40- 5:00 (22) Stochastic processes in protein dynamics. Dr. MARC MANGEL, University of California, Davis {785-82-3)

SATURDAY, 8:30A.M. Session on Algebra and Analysis, Room 349 8:30- 8:40 (23) 1-inding global minima for a nonlinear location problem. Dr. MARTHA ANN GRI ESEL, Sandia National Laboratories, Livermore, California {785-65-17) 8:45- 8:55 (24) Factoring F. I. sequences. Preliminary report. Professor JAMES H. CASE*, University of Utah, and Professor PAUL S. FISHER, Kansas State University (785-68-24) 9:00- 9:10 (25) Many sorted algebras for relational, fuzzy and f. relational data bose. Preliminary report. C. R. GIARDINA, Fairleigh Dickinson University, Singer-Kearfott Division, Wayne, New Jersey, and Stevens Institute of Technology {785-68-37) 9:15- 9:25 (26) Characterizations of range-hermitian matrices over rings with involution. Preliminary report. Professor DONALD W. ROBINSON, Brigham Young University (785-15-39)

220 9:30- 9:40 (27) Congruences in abstract algebras. Professor M. ISHAQ, Universite Laval (785-08-29) (Introduced by Professor J. A. Siddiqi) 9:45- 9:55 (28) Space of vector module: (Paper Ill), (A-8). Dr. D. VENUGOPALA RAO, Institute of Mathematics, Cochin, India (785-15-2) 10:00-10:10 (29) WITHDRAWN

SATURDAY, 8:30A.M. Special Session on Potential Theory. II, Room 255A 8.:30- 8:50 (30) The excessive cone of a stop-or-go gambling house. Preliminary report. THOMAS E. ARMSTRONG, Moorhead State University (785-31-13) 9:00- 9:20 (31) Walsh type approximation on unbounded closed sets. Professor MYRON GOLDSTEIN, Arizona State University (785-31-6) 9:30- 9:50 (32) Harmonic approximation. Professor P.M. GAUTHIER*, Universite de Montreal, Professor M. GOLDSTEIN, Arizona State University, and Professor W. H. OW, Michigan State University, East Lansing (785-31-43) 1 0:00-1 0:20 (33) A Runge theorem for L-harmonic functions on closed sets in Rn. Preliminary report. Professor P.M. GAUTHIER, Professor M. GOLDSTEIN, and Professor WELLINGTON H. OW*, Michigan State University, East Lansing (785-31-34)

SATURDAY, 8:30 A. M. Special Session on Stochastic Processes. II, Room 234 8:30- 8:50 (34) Stationary processes with minimal support. WILLIAM B. KREBS and Dr. JAMES B. ROBERTSON*, University of California, Santa Barbara (785-60-23) 9:00- 9:20 (35) Moving averages of harmonizable time series. Preliminary report. Professor JAMES P. KELSH, Xavier University (785-60-47) 9:30- 9:50 (36) On construction of Markov processes. Professor R. M. BLUMENTHAL, University of Washington (785-60-25) 10:00-10:20 (37) Random walk on the d-cube, and rapidly mixing Markov chains. Professor DAVID j. ALDOUS, University of California, Berkeley (785-60-12)

SATURDAY, 10:30 A.M. SIAM Invited Addresses, Room 101 10:30-11 :40 A mathematical look at micro-processors and some of their uses. Professor GORDON LATTA, Naval Postgraduate School, Monterey, and University of Virginia, and Professor PETER C. C. WANG, Naval Postgraduate School, Monterey

SATURDAY, 1:15 P.M. AMS Invited Address, Room 101 1:15- 2:15 (38) The method of asymptotic wave functions in scattering theory. Professor CALVIN H. WILCOX, University of Utah (785-35-21)

SATURDAY, 2:30P.M. Session on Analysis, Room 349 2:30- 2:40 (39) Multiple feedback control for delay differential equations. FRANCISCO OLIVA, I.P.N. Escuela Superior de lngenieria Mecanica y electrica, Mexico (785-93-50) 2:45- 2:55 (40) Equivalence of nonlinear and linear systems. Preliminary report. Professor L. R. HUNT*, NASA Ames Research Center, Moffett Field, California, and Texas Tech University, and Dr. RENJENG SU, NASA Ames Research Center, Moffett Field, California (785-93-9) 3:00- 3:10 (41) Harmonic approximation on unbounded sets. MARTINE LABRECHE, Universite de Montreal (785-31-45) 3:15- 3:25 (42) Extensions of d/dx that generate uniformly bounded semigroups. Preliminary report. RALPH J. deLAUBENFELS, University of California, Berkeley (785-47-36) 3:30- 3:40 (43) Best L P-approximation of continuous and quasicontinuous functions by monotone functions. Preliminary report. SALEM M.A. SAHAB, Colorado State University (785-41-40)

3:45- 3:55 (44) L 00-approximations in probability spaces. ABDALLAH M. AL-RASHED, Colorado State University (785-41-32)

221 4:00- 4:10 (45) Random central Fourier series on SU(2). Preliminary report. Professor JOHN J. F. FOURNIER and Professor KENNETH A. ROSS*, University of British Columbia (785-43-38) 4:15- 4:25 (46) Testing for favorable numbers on a roulette wheel. Preliminary report. Professor S. N. ETHIER, Michigan State University (785-62-27) SATURDAY, 2:30P.M. Special Session on Stochastic Processes. Ill, Room 234 2:30- 2:50 (47) On regularity of excessive functions. Professor Z. R. POP-STOJANOVIC* and Professor MURALI RAO, University of Florida, Gainesville (785-60-48) 3:00- 3:20 (48) Decoupling inequalities for stationary Gaussian processes. Professor ABEL KLEIN, University of California, Irvine, Professor LAWRENCE J. LANDAU, Bedford College, University of London, England, and Dr. DAVIDS. SHUCKER*, University of California, Irvine (785-60·20) 3:30- 3:50 (49) On Dynkin's Markov property of random fields associated with symmetric processes. Professor BRUCE ATKINSON, University of Southern California (785-60-19) SATURDAY, 4:00P.M. Special Session on Random Permutations, Room 34 7 4:00- 4:20 (50) Algorithms for the generation of random permutations. Professor D. H. LEHMER, University of California, Berkeley (785-05-18) 4:30- 4:50 (51) On the expected length of the longest cycle in a random permutation. Dr. SOLOMON W. GOLOMB, University of Southern California, Los Angeles (785-05-33) 5:00- 5:20 (52) Title to be announced. Professor HARALD NIEDERREITER, University of the West Indies, Jamaica. 5:30- 6:00 Discussion period Kenneth A. Ross Vancouver, British Columbia Associate Secretary

LATE PAPERS AND OTHER PROGRAM CHANGES AT MEETINGS

At sectional meetings of the Society it is traditional Participants can avoid scheduling conflicts as follows. to allow the presentation of late papers and other Plan your trip and make arrangements well before flexibility such as rescheduling of papers. On the the meeting and before you send in your abstract. other hand, program changes are not normally allowed If you will not attend the entire meeting, indicate at national meetings. As an experiment, however, clearly on your abstract form the days you will attend the associate secretary in charge allowed much more the meeting. You should be aware that you may be flexibility at the January 1980 San Antonio meet­ scheduled in a slightly less suitable session than you ing and the January 1981 San Francisco meeting. would be if you made no restrictions. This flexibility helped solve several participants' prob­ Raymond G. Ayoub lems, but the total situation got out of hand at San Paul T. Bateman Francisco. There were 40 late or rescheduled papers. Frank T. Birtel Accordingly, late papers and program changes will Kenneth A. Ross not be available at future annual (January) meetings. Associate Secretaries

222 Pittsburgh, May 15-16, 1981, Duquesne University Program for the 786th Meeting

The seven hundred eighty-sixth meeting of the Langford, John Mallet-Paret, R. Nussbaum, D. H. American Mathematical Society will take place at Sattinger, Joel A. Smaller, and W. C. Troy. Duquesne University in Pittsburgh, Pennsylvania, on Problems in elastic vibrations, stability and May 15-16, 1981. This will be a joint meeting with related topics, VADIM KOMKOV, West Virginia Uni· the Allegheny Mountain Section of the Mathematical versity. The speakers will be Kyung K. Choi, Vadim Association of America. Sessions will be held in Komkov, Lawrence E. Payne, Raymond H. Plaut, College and Canevin Halls. Duane Sather, John E. Taylor, and James L. Moseley. Invited Addresses Representations of algebras, I DUN REITEN, By invitation of the Committee to Select Hour University of Trondheim and Brandeis University. Speakers for Eastern Sectional Meetings, there will The speakers are I. A. Assem, Maurice Auslander, be three invited one-hour addresses. The speakers, Uri Fixman, Robert Gordon, Edward L. Green, times, and titles of their talks are as follows: Dieter Happel, Mark Kleiner, F. Larri6n, Roberto JACK K. HALE, Brown University, 4:1 0 p.m. Martinez-Villa, Frank Okoh, L. Salmeron, and Dan Friday, Dynamic bifurcation. Zacharia. I DUN REITEN, University of Trondheim, cur­ rently at Brandeis University, 1:15 p.m. Saturday, Contributed Papers An introduction to the representation theory of There will be sessions for contributed papers on Artin algebras. Saturday. FRANK WARNER, University of Pennsylvania, MAA Program 10:00 a.m. Saturday, Great circle fibrations of the The two featured speakers in the MAA sessions 3-sphere. are G. Andrews of Pennsylvania State University, Special Sessions whose topic is More on Ramanujan's lost notebooks, By invitation of the same committee, there will and Alfred B. Willcox, executive director of the MAA, be seven special sessions of selected twenty-minute who will speak on Some bridges to and from mathe­ papers. The topics of these special sessions, the matics: There is a math loose in the supermarket. names of the organizers, and the lists of speakers are Registration as follows: Abstract harmonic analysis, CHING CHOU, State The registration area will be located in College University of New York, Center at Buffalo. The Hall, where the desk will be open from noon to speakers will be Ching Chou, Mahlon M. Day, W. R. 4:00 p.m. and 6:00 to 7:00 p.m. on Friday, and Emerson, Edmond E. Granirer, J. W. Jenkins, H. D. from 8:00a.m. to noon on Saturday. The registra­ Junghenn, Anthony To-Ming Lau, T. S. Liu, Paul tion fees for the meeting are $5 for members or Milnes, Jan K. Pachl, Keith Phillips, and Joseph M. nonmembers, and $2 for students. Rosenblatt. Accommodations Vector measures, BARBARA FAIRES of West­ Blocks of rooms have been set aside at the minster College, and ROBERT E. HUFF of Penn­ following locations. Participants should make their sylvania State University, University Park. The own reservations directly with the motels, mentioning speakers will be Deborah F. Allinger, Cecilia H. the AMS meeting in order to obtain these special Brook, Gerald A. Edgar, Robert Geitz, Lawrence rates. Riddle, Steve Stehle, J. J. Uhl, Jr., and W. A. Woyczyriski. Viking Motel Numerical solutions of partial differential equa­ 1150 Banksville Road 15216 (412-531-8900) Single $29 Double $34 tions, GEORGE J. FIX, Carnegie-Mellon University. The speakers are Max D. Gunzbwrger, Wendell H. Holiday Inn Greentree Pittsburgh Central Mills, Roger N. Pederson, and Werner C. Rheinboldt. 401 Holiday Drive 15220 (412-922-81 00) Set-theoretic topology, WILLIAM FLEISSNER, Single $45 Double $50 University of Pittsburgh, Pittsburgh. The speakers are Pittsburgh Marriott/Greentree Dennis K. Burke, Gary Gruenhage, Mohammed Ismail, 1 01 Marriott Drive 1 5205 (412-922-8400) Ronald Levy, David J. Lutzer, Peter Nyikos, George Single $45 Double $45 Reed, Franklin D. Tall, Eric K. van Douwen, Jerome E. Vaughan, William Weiss, Howard H. Wicke, Scott The above motels are located to the west of Pitts­ W. Williams, J. M. Worrell, Jr., and Phillip Zenor. burgh, about three to four miles from the Duquesne Dynamic bifurcation, JACK K. HALE, Brown campus off Interstate route 279 at exit 18. In addi­ University. The speakers will be Stuart S. Antman, tion, a limited number of dormitory rooms are avail­ S.-N. Chow, Robert L. Devaney, Earl H. Dowell, able on campus; the rates are $8.50 for single occu­ Bernie Greenspan, George H. Knightly, William F. pancy, or $8.50 per person for double occupancy.

223 Requests for campus housing reservations should be half hour, and stops at the Holiday and Marriott made by contacting Professor Kathleen Taylor at the Inns. Both of these inns also offer courtesy trans­ Department of Mathematics, Duquesne University. portation on call daily between 7:00 a.m. and 10:00 p.m. Food Service The Duquesne campus is located in downtown Food service will be available on campus during Pittsburgh; participants coming by car should use the meeting. Details will be available at the meeting. Interstate 376 from the east; Interstate 279 from the west; and either Interstate 279 or 579 from the Parking north. Signs along the interstate approaches indicate The parking lot for use by participants attending directions to Duquesne University. the meeting is located on Bluff Street, directly Taxi service from the Greentree area to the across the road from College Hall. A parking permit Duquesne campus costs approximately $6. is not required. Travel a.nd Local Information Council Meeting Pittsburgh is served by several major airlines, in­ The Council of the Society will meet at 7:00 cluding American, Braniff, Eastern, Northwest, TWA, p.m. on Friday, May 15, in the Conference Center at USAir and United, as well as Amtrak trains and bus the Pittsburgh Marriott/Greentree. The name of the service. For passengers arriving by air, limousine room in which the meeting is to take place will be service leaves the airport terminal every hour on the listed on the directory in the lobby.

PRESENTERS OF PAPERS

Following each name is the number corresponding to the speaker's position on the program • Invited one-hour lecturers * Special session speakers *Allinger, D. F. 21 *Greenspan, B. 14 *Mills, W. H. 27 *Sattinger, D. H. 15 Andrade, J. S. 60 *Gruenhage, G. 7 *Milnes, P. 93 Schmeelk, J. 59 *Antman, S. S. 12 *Gunzburger, M. D. 26 *Moseley, J. L. 89 Shelton, R. 68 *Assem, I. 17 •Hale, J. K. 34 Moulis, E. J., Jr. 64 *Smaller, j. A. 78 Aull, C. E. 55 *Happel, D. 16 *Nussbaum, R. D. 40 Soni, R. 69 *Auslander, M. 18 *Ismail, M. 37 *Nyikos, P. J. 36 Stanford, D. P. 70 Bragg, l. R. 58 *jenkins, J. W. 3 *Okoh, F. 49 *Stehle, S. 24 *Brook, C. H. 23 *Junghenn, H. D. *Pachl, j. K. 44 *Tall, F. D. 38 *Burke, D. K. 6 *Kleiner, M. 72 *Payne, l. E. 32 *Taylor, J. E. 88 Chivukula, R. R. 61 *Knightly, G. H. 11 *Pederson, R. N. 28 *Troy, W. C. 41 *Choi, K. K. 30 Kofner, J. 52 *Phillips, K. 5 Tucker, J. R. 57 *Chou, C. 46 *Komkov, V. 31 *Plaut, R. H. 33 *Uhl, J. J., Jr. 86 *Chow, S.-N. 43 Krishnan, V. S. 67 Raghavan, T. G. 54 *van Douwen, E. K. 9 *Day, M. M. 90 Lambrinos, P. Th. 53 Rao, V. V. 65 *Vaughan, J. E. 79 Dettman, J. W. 63 *Langford, W. F. 76 *Reed, G. M. 39 •Warner, F. SO *Devaney, R. l. 77 *Larrion, F. 47 •Reiten, I. 71 *Weiss, W. 80 *Dowell, E. H. 13 *Lau, A. T.-M. 92 *Rheinboldt, W. C. 29 White, C. C. 56 *Edgar, G. A. 22 Lerner, B. T. 66 *Riddle, l. 25 *Wicke, H. H. 1 0 *Emerson, W. R. 4 *Levy, R. 8 *Rosen blatt, J. 45 *Williams, S. W. 81 *Fixman, U. 48 *Liu, T. S. 2 Ruth, R. E. 51 *Worrell, J. M., Jr. 83 *Geitz, R. F. 84 Lutzer, D. J. 35 *Sal me ron, l. 20 *Woyczynski, w. A. 85 *Gordon, R. 75 *Mallet-Paret, J. 42 Sastry, A. S. 62 *Zacharia, D. 19 *Granirer, E. E. 91 *Martinez-Villa, R. 73 *Sather, D. 87 *Zenor, P. 82 *Green, E. l. 7 4

224 PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions the time varies from session to session and within sessions. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the April 1981 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.

FRIDAY, 2:00P.M. Special Session on Abstract Harmonic Analysis. I, Room 204, Canevin Hall 2:00- 2:20 (1) Extensions of continuous functions on dense subsemigroups. Preliminary report. Professor H. D. J UNGHENN, George Washington University (786-43-1 0) 2:25- 2:45 (2) Characters of group algebra modules. Preliminary report. Professor T. S. LIU, University of Massachusetts, Amherst (786-42-48) (Introduced by Professor C. Chou) 2:50- 3:10 (3) A Riemann-Lebesgue lemma for nilmanifolds. Preliminary report. Professor). W. JENKINS, State University of New York, Albany (786-43-35) 3:15- 3:35 (4) Convergence preserving functions between groups. Professor WILLIAM R. EMERSON, City University of New York, Queens College (786-22-55) 3:40- 4:00 (5) The theory of distributions and homogeneity on zero dimensional topological groups. Professor KEITH PHILLIPS, New Mexico State University, Las Cruces (786-43-91)

FRIDAY, 2:00P.M. Special Session on Set-theoretic Topology. I, Room 206, Canevin Hall 2:00- 2:20 (6) Subsets of ww and certain generalized metric spaces. Preliminary report. Professor DENNIS K. BURKE, Miami University, Oxford (786-54-29) 2:25- 2:45 (7) On a construction of perfectly normal spaces and some applications to dimension theory. G. GRUENHAGE*, Auburn University, Auburn, and E. POL, University of Warsaw, Poland (786-54-20) 2:50- 3:10 (8) Near/y-(3 compactifications. Preliminary report. RONNIE LEVY, George Mason University (786-54-12) 3:15- 3:35 (9) Nonnormality of C(R) in the graph, or m-, or strong topology. ERICK. VAN DOUWEN, Institute for Medicine and Mathematics, Ohio University, Athens (786-54-61) 3:40- 4:00 (1 0) Some characterization theorems in base of countable order theory. Preliminary report. Professor HOWARD H. WICKE, Ohio University, Athens (786-54-60)

FRIDAY, 2:00P.M. Special Session on Dynamic Bifurcation. I, Room 104, College Hall 2:00- 2:20 (11) Subcritical solutions for a class of nonlinear problems. Preliminary report. Professor GEORGE H. KNIGHTLY*, University of Massachusetts, Amherst, and Professor D. SATHER, University of Colorado, Boulder (786-35-45) 2:25- 2:45 (12) The stability of solutions of a quasilinear version of Nikolai's problem. Preliminary report. Professor STUART S. ANTMAN, University of Maryland, College Park (786-73-78) 2:50- 3:10 (13) Nonlinear aero-elasticity. Preliminary report. EARL H. DOWELL, Princeton University (786-73-17) (Introduced by Professor jack K. Hale) 3:15- 3:35 (14) Bifurcations of the periodically forced Duffing equation. Preliminary report. BERNIE GREENSPAN, Cornell University (786-34-84) 3:40- 4:00 (15) Gauge theories for soliton problems. D. H. SATTINGER, University of Minnesota, Minneapolis (786-35-23)

FRIDAY, 2:00P.M. Special Session on Representations of Algebras. I, Room 1 05, College Hall 2:00- 2:20 (16) Complete slices of tilted algebras. DIETER HAPPEL, Brandeis University (786-16-52) 2:25- 2:45 (17) Generalized tilted algebras of types Bn and Cn. Preliminary report. IBRAHIM ASSE M, Carleton University (786-16-93) 2:50- 3:10 (18) Composition factors for modules over Artin algebras. Preliminary report. MAURICE AUSLANDER, Brandeis University (786-16-65)

22S 3:15- 3:35 (19) The annihilator ideals of the preprojective classes for a hereditary Artin algebra of finite representation type. Dr. DAN ZACHARIA, Brandeis University (786-16-87) 3:40- 4:00 (20) Preprojective components for certain algebras. Preliminary report. Dr. R. BAUTISTA and L. SALMERON*, lnstituto de Mathematicas, U.N. A.M., and lnstituto de Ciencias, U. A. P., Mexico (786-16-86) (Introduced by Professor Maurice Auslander)

FRIDAY, 2:00P.M. Special Session on Vector Measures. I, Room 209, Canevin Hall 2:00- 2:20 (21) Distributions for solutions to some stochastic differential equations. DEBORAH F. ALLINGER, Indiana University, Bloomington (786-60-38) 2:25- 2:45 (22) Measure-compactness and real compactness of the ball in a Banach space. Preliminary report. Professor G. A. EDGAR, Ohio State University, Columbus (786-54-13) 2:50- 3:10 (23) Some uses of projections in the universal measure space. Professor CECILIA H. BROOK, Northern Illinois University (786-28-44) 3:15- 3:35 (24) Spaces with the hereditarily Dunford-Pettis property. Preliminary report. JOE DIESTEL, Kent State University, and STEVE STEHLE*, Case Western Reserve University (786-46-75) (Introduced by R. H. Huff) 3:40- 4:00 (25) A sufficient condition for Pettis differentiation. LAWRENCE RIDDLE, University of Illinois, Urbana-Champaign (786-28-77)

FRIDAY, 2:00P.M. Special Session on Numerical Solutions of Partial Differential Equations. Room 301, Canevin Hall 2:00- 2:20 (26) Mixed finite element methods for incompressible viscous flow problems. Professor MAX D. GUNZBURGER*, University of Tennessee, Knoxville, and Professor R. A. NICHOLAIDES, Carnegie-Mellon University (786-65-33) (Introduced by Professor George j. Fix) 2:25- 2:45 (27) Approximation of parabolic control problems, achieving comfort with minimum energy. Preliminary report. Dr. WENDELL H. MILLS*, Dr. GOONG CHEN, and Professor WILLIAM HAGER, Pennsylvania State University, University Park (786-35-21) 2:50- 3:10 (28) Negative norm weighted Sobolev spaces. ROGER N. PEDERSON, Carnegie-Mellon University (786-46-71) (Introduced by Professor George J. Fix) 3:15- 3:35 (29) Computation of critical boundaries on equilibrium surfaces. Professor WERNER C. RHEINBOLDT, University of Pittsburgh, Pittsburgh (786-65-72)

FRIDAY, 2:00P.M. Special Session on Problems in Elastic Vibrations, Stability and Related Topics. I, Room 306, Canevin Hall 2:00- 2:20 (30) Repeated eigenvalues in mechanical optimization problems. Dr. KYUNG K. CHOI* and Professor EDWARD j. HAUG, University of Iowa (786-49-47) (Introduced by Professor Vadim Komkov) 2:25- 2:45 (31) Nonlinear stability theory for elastic structures. Professor VADIM KOMKOV, West Virginia University (786-73-2) 2:50- 3:10 (32) On the stabilization of improperly posed Cauchy problems in nonlinear elasticity. Professor LAWRENCE E. PAYNE, Cornell University (786-73-22) 3:15- 3:35 (33) Vibrations and stability of shallow elastic arches. Professor RAYMOND H. PLAUT, Virginia Polytechnic Institute and State University (786-73-8) (Introduced by Professor Vadim Komkov)

FRIDAY, 4:10P.M. Invited Address, Room 104, College Hall (34) Dynamic bifurcation. Professor ),ACK K. HALE, Brown University (786-34-16)

SATURDAY, 8:20A.M. Special Session on Set-theoretic topology. II, Room 206, Canevin Hall 8:20- 8:40 (35) Problems in ordered spaces. DAVID j. LUTZER, Texas Tech University (786-54-43) 8:45- 9:05 (36) The problem of obtaining a separable, countably compact, noncompact manifold. Professor PETER j. NYIKOS, University of South Carolina, Columbia (786-54-90) 9:10- 9:30 (37} C-c/osed spaces. Preliminary report. Dr. MOHAMMED ISMAIL, University of Petroleum and Minerals, Saudi Arabia (786-54-58)

226 9:35- 9:55 (38) Locally compact perfectly normal spaces are collectionwise normal, consistently. Professor FRANKLIN D. TALL, University of Toronto {786·54-9) 10:00-10:20 (39) Yes, there are still interesting problems in Moore spaces. Preliminary report. Professor GEORGE M. REED, Ohio University, and N.S.F., Washington, D.C. (786-54-94)

SATURDAY, 8:20A.M. Special Session on Dynamic Bifurcation. II, Room 104, College Hall 8:20- 8:40 (40) Conjectures and results for x'(t) = - af(x(t- 1 )). Dr. ROGER D. NUSSBAUM, Rutgers University, New Brunswick (786-34-49) 8:45- 9:05 (41) Bursting phenomena in the Belousov-Zhabotinskii reaction. WILLIAM C. TROY*, University of Pittsburgh, Pittsburgh, and JOHN RINZEL, National Institutes of Health (786-34-34) (Introduced by Professor jack K. Hale) 9:10- 9:30 (42) Interval mappings and singularly perturbed delay differential equations. Professor SHUI-NEE CHOW, Michigan State University, and Professor JOHN MALLET-PARET*, Brown University (786-39-56) 9:35- 9:55 (43) Bifurcation and nonlinear oscillations. Professor SHUI-NEE CHOW*, Michigan State University, and Professor JACK K. HALE, Brown University (786-34-39) SATURDAY, 8:45A.M. Special Session on Abstract Harmonic Analysis. II, Room 204, Canevin Hall 8:45- 9:05 (44) Uniform measures on topological groups. JAN K. PACHL, University of Waterloo (786-43-7) 9:10- 9:30 (45) Ergodic and mixing random walks on locally compact groups. Preliminary report. JOSEPH ROSENBLATT, Ohio State University, Columbus (786-43-4) 9:35- 9:55 (46) Topological almost convergent operators in VN(G). Preliminary report. Professor CHING CHOU, State University of New York, Buffalo (786-43-36)

SATURDAY, 8:45 A. M. Special Session on Representations of Algebras. II, Room 209, Canevin Hall , 8:45- 9:05 (47) On forestal algebras. Preliminary report. F. LARRION, lnstituto de Matematicas, U.N. A.M., Mexico (786-16-85) (Introduced by Professor Maurice Auslander) 9:10- 9:30 (48) Polynomial modules attached to systems of linear transformations. Professor URI FIXMAN, Queen's University (786-16-27) 9:35- 9:55 (49) Almost all finite-ranked subsystems of the polynomial system are indecomposable. Preliminary report. FRANK OKOH, Queen's University (786-16-30) SATURDAY, 10:00 A.M. Invited Address, Room 104, College Hall (50) Great circle fibrations of the 3-sphere. Professor FRANK WARNER, University of Pennsylvania (786-53-41) SATURDAY, 11:05 A.M. Session on Topology, Room 206, Canevin Hall 11 :05-11:15 (51) On a characterization of paralindelof spaces. Preliminary report. RICK E. RUTH, Ohio University, Athens (786-54-73) 11:20-11:30 (52) Transitivity of products of ordered spaces. Dr. JACOB KOFNER, George Mason University (786-54-69) 11 :35-11 :45 (53) On the compact-open and thee-compact-open topology. Professor P. TH. LAMBRINOS, Virginia Polytechnic Institute and State University (786-54-68) 11:50-12:00 (54) On the lattice of P-spaces. Preliminary report. Dr. T. G. RAGHAVAN, University of Calabar, Nigeria (786-54-19) 12:05-12:15 (55) Extendability and expandability. Preliminary report. Professor C. E. AULL, Virginia Polytechnic Institute and State University (786-54-15) SATURDAY, 11:05 A.M. Session on Functional Analysis and Operator Theory, Room 204, Canevin Hall 11 :05-11:15 (56) Characterizing properties of C(X) and maximal complex pairs. Preliminary report. Dr. CHRISTOPHER C. WHITE~ Castleton State College (786-46·24)

227 11 :20-11 :30 (57) Mixing, ergodicity, and amenability for weakly almost periodic semigroups. Preliminary report. JOHN R. TUCKER, Virginia Commonwealth University (786-46-80) 11:35-11:45 (58) Non-homogeneous equations that involve iterated operators. Professor LOUIS R. BRAGG, Oakland University (786-47-14) 11 :50-12:00 (59) Variable coefficient functional equations. Preliminary report. Dr. JOHN SCHMEELK, Virginia Commonwealth University (786-46-31) 12:05-12:15 (60) Cubic Wei/ representations. Preliminary report. Professor JORGE SOTO ANDRADE, University of Chile (786-20-92)

SATURDAY, 11 :OS A.M. Session on Analysis, Room 1 04, College Hall 11:05-11:15 (61) A Bartle type integral for locally convex spaces. Preliminary report. Professor R. RAO CHIVUKULA*, and A. S. SASTRY, University of Nebraska, Lincoln {786-28-25) 11:20-11:30 (62) Products of vector measures. Preliminary report. Professor R. RAO CHIVUKULA and A. S. SASTRY*, University of Nebraska, Lincoln {786-28-26) 11:35-11 :45 (63) Analogous function theories for the heat, wave, and Laplace equation. Professor LOUIS R. BRAGG and Professor JOHN W. DETTMAN*, Oakland University {786-35-57) 11 :50-12:00 (64) Bounds on the functional la3 + po~ I for classes of functions related to functions with bounded boundary rotation. Preliminary report. Professor EDWARD J. MOULIS, JR., United States Naval Academy (786-30-70) 12:05-12:15 (65) Relations involving Fourier coefficients of nonanalytic automorphic forms. Professor V. V. RAO, University of Regina (786-30-53)

SATURDAY, 11:05 A.M. General Session, Room 209, Canevin Hall 11:05-11:15 (66) An amenability property of semidirect products of semigroups. Preliminary report. Dr. BAO T. LERNER, United States Naval Academy (786-43-37) 11 :20-11 :30 (67) Categories of algebras with semi-uniformity, bitopo/ogy or preorder. Preliminary report. Professor V. SANKRITHI KRISHNAN, Temple University (786-08-6) 11:35-11:45 (68) Irreducible words on N symbols. Preliminary report. Dr. ROBERT SHELTON*, IJr. RAJ SON I, MELISSA WISE, and REID DAVIS, University of Tennessee, Knoxville (786-0S-67) 11:50-12:00 (69) Binary sequences that are mth-power free. Preliminary report. Dr. ROBERT SHELTON, Dr. RAJ SONI*, MELISSA WISE, and REID DAVIS, University of Tennessee, Knoxville (786-05-66) 12:05-12:15 (70) Observability and controllability in multi-modal systems. Preliminary report. L. T. CONNER, JR. and D.P. STANFORD*, College of William and Mary (786-93-5) SATURDAY, 1:15 P.M. Invited Address, Room 1 04, College Hall (71) An introduction to the representation theory of Artin algebras. Professor IDUN REITEN, University of Trondheim, Norway, and Brandeis University (786-16-62)

SATURDAY, 2:20P.M. Special Session on Representations of Algebras. Ill, Room 104, College Hall 2:20- 2:40 (72) Induced modules and comodules and representations of BOCS's and DGC's. Dr. MARK KLEINER, Brandeis University (786-15-3) 2:45- 3:05 (73) Algebras stably equivalent to Nakayama. Preliminary report. Professor ROBERTO MARTINEZ-VILLA, lnstituto de Mathematicas, U.N. A.M., Mexico (786-16-83) {Introduced by Professor ldun Reiten) 3:10- 3:30 (74) Graded Artin algebras. Professor EDWARD L. GREEN, Virginia Polytechnic Institute and State University (786-16-89) 3:35- 3:55 (75) Representation theory of graded Artin algebras. Professor ROBERT GORDON*, Temple University, and Professor EDWARD L. GREEN, Virginia Polytechnic Institute and State University (786-16-28)

228 SATURDAY, 2:20P.M. Special Session on Dynamic Bifurcation. Ill, Room 105, College Hall 2:20- 2:40 (76) Hopf bifurcation from a hysteresis point. Preliminary report. Professor WILLIAM F. LANGFORD*, McGill University, and Professor MARTIN GOLUBITSKY, Arizona State University (786-34-18) (Introduced by Professor Jack K. Hale) 2:45- 3:05 (77) Bifurcations in the Henan mapping. Professor ROBERT L. DEVANEY, Boston University (786-58-40) 3:10- 3:30 (78) Bifurcation of solutions for systems of reaction-diffusion equations. JOEL A. SMOLLER, University of Michigan, Ann Arbor, and University of Warwick, England (786-35-42)

SATURDAY, 2:20P.M. Special Session on Set-theoretic Topology. Ill, Room 206, Canevin Hall 2:20- 2:40 (79) Big (w1, wt)-gaps and topology. Professor JERRY E. VAUGHAN, University of North Carolina, Greensboro (786-54-51) 2:45- 3:05 (80) Results on 1r-weight. I. JUHASZ, Mathematical Institute of the Hungarian Academy of Sciences, and W. WEISS*, Erindale College (786-54-54) 3:10- 3:30 (81) Between dense metrizable and dense paracompact. Preliminary report. Dr. SCOTT W. WILLIAMS, State University of New York, Buffalo, and Institute for Medicine and Mathematics, Ohio University, Athens (786-54-11) 3:35- 3:55 (82) Metrization of locally connected and locally compact spaces. Preliminary report. P.HILLIP ZENOR, Auburn University, Auburn (786-54-59) (Introduced by Professor William Fleissner) 4:00- 4:20 (83) A property of fully normal spaces. Professor J. M. WORRELL, JR., Institute for Medicine and Mathematics, Ohio University, Athens (786-54-82)

SATURDAY, 2:20P.M. Special Session on Vector Measures. II, Room 209, Canevin Hall 2:20- 2:40 (84) The core of a weakly measurable function. Professor ROBERT F. GEITZ, Oberlin College (786-28-74) 2:45- 3:05 (85) On product random measures and applications to double random integrals and related problems qf Q-marts. Preliminary report. Dr. J. SZULGA and Professor W. A. WOYCZYNSKI*, Cleveland State University (786-60-88) 3:10- 3:30 (86) Trees dentability and Dunford-Pettis operators. LAWRENCE H. RIDDLE and Professor J. J. UHL, JR.*, University of Illinois, Urbana-Champaign (786-46-76)

SATURDAY, 2:20P.M. Special Session on Problems in Elastic Vibrations, Stability and Related Topics. II, Room 306, Canevin Hall 2:20- 2:40 (87) Stable solutions in nonlinear shell theory. Professor GEORGE H. KNIGHTLY, University of Massachusetts, Amherst, and Professor D. SATHER*, University of Colorado, Boulder (786-35-1) 2:45- 3:05 (88) Multiple eigenvalues in optimal design. Dr. JOHN E. TAYLOR, University of Michigan, Ann Arbor (786-49-64) (Introduced by Professor Vadim Komkov) 3:10- 3:30 (89) A two-dimensional nonlinear eigenvalue problem with an exponential nonlinearity for the Laplace operator. Preliminary report. JAMES L. MOSELEY, West Virginia University (786-35-79)

SATURDAY, 2:20P.M. Special Session on Abstract Harmonic Analysis. Ill, Room 204, Canevin Hall 2:20- 2:40 (90) The textures of left thickness. Professor MAHLON M. DAY, University of Illinois, Urbana-Champaign (786-43-63) 2:45- 3:05 (91) Some group representations with discrete support. EDMOND E. GRANIRER, University of British Columbia (786-43-46) 3:10- 3:30 (92) The second conjugate algebra of the Fourier algebra of a locally compact group. Professor ANTHONY TO-MING LAU, University of Alberta (786-43-32) 3:35- 3:55 (93) Minimal and distal functions on semidirect products. Dr. PAUL MILNES, University of Western Ontario (786-43-50) Raymond G. Ayoub University Park, Pennsylvania Associate Secretary

229 Portland, June 19-20, 1981, Lewis and Clark College Second Announcement of the 787th Meeting

The seven hundred eighty-seventh meeting of speakers will be Roland H. Lamberson, Richard the American Mathematical Society will be held at Montgomery, Larry Runyon, and Michael Sequeria. Lewis and Clark College in Portland, Oregon, on Fri­ day and Saturday, june 19 and 20, 1981. This meet­ Registration ing will be held in conjunction with meetings of the The registration area for the meeting will be ih Pacific Northwest Section of the Mathematical Asso­ the Olin Building. The registration desk will be open ciation of America (MAA) and the Northwest Section on Friday from 8:30 a.m. until noon and from 1 :00 of the Society for Industrial and Applied Mathe­ p.m. to 4:30p.m. On Saturday the desk will be matics (SIAM). open from 8:30 a.m. until 11 :00 a.m. Registration Invited Addresses for dormitory accommodations will be located in the By invitation of the Committee to Select Hour lounge area of juniper dormito·ry and will be open Speakers for Far Western Sectional Meetings, there from 7:00 p.m. to 10:00 p.m. on Thursday evening. will be two invited one-hour addresses. One of these Registration fees will be $6 for members of AMS, will be given by ANDREW MAJ DA of the University MAA, or SIAM, $8 for nonmembers, and $2 for of California, Berkeley; the title of his lecture is students and unemployed persons. Nonlinear hyperbolic waves. The other invited address Information about restaurants, and suggestions will be given by HAROLD M. STARK of the Univer­ for things to do and see in the Portland area, will be sity of California, San Diego, the title of which will available at the registration desk. be announced in the june issue of the Notices. Open House, Banquet, and Luncheon Special Sessions Those arriving on Thursday are cordially invited There will be a special session on Number theory to an open house after 7:30p.m. at the home of organized by ROY W. RYDEN of Humboldt State Gene and Marj Enneking of the Portland State Uni­ University. The speakers include Rodney T. Hansen, versity department of mathematics. Directions to Robert D. Stailey, Charles L. Vanden Eynden, and their house may be obtained in the registration area Burke Zane. in juniper dormitory. The Enneking residence is located at 6845 S.W. Burlingame Avenue, about two Contributed Papers miles north of Lewis and Clark College and about There will also be sessions for contributed papers. five blocks north of the Terwilliger Boulevard exit Abstracts should be sent to the American Mathe­ off 1-5. The telephone number is 246-3279. matical Society, P. 0. Box 6248, Providence, Rhode At the banquet on Friday evening the guest Island 02940, so as to arrive prior to the deadline of speaker will be Ivan Niven, professor of mathematics April 20, 1981. Late papers will be accepted for at the University of Oregon and governor of the presentation at the meeting, but will not appear in Pacific Northwest Section of the MAA. He will speak the printed program. on The way it was. The banquet will be served buffet­ Other Organizations style in Fields Dining Room, located in the Temple­ ton College Center, and will feature baked salmon or The MAA program will include an invited address quiche Lorraine. The cost is $10.50 per person. by WILLIAM FIREY of Oregon State University, and Dinner will be preceded by a no-host social hour in a session of expository talks on Number theory at Dubach (faculty) Dining Room. which the speakers will be Lawrence C. Eggan, At noon on Saturday there will be a luncheon Calvin T. Long, Eugene A. Maier, and Roy W. Ryden. featuring a talk by Ansel johnson of the Earth Sci­ The featured speaker at the banquet on Friday eve­ ences Department at Portland State University, con­ ning will be IVAN NIVEN of the University of cerning the mathematics involved in the study of Oregon; the title of his talk is The way it was. The volcanos. This luncheon will also be served in Fields featured speaker at the Saturday luncheon will be Dining Room; the cost is $4.75 per person. ANSEL JOHNSON of the Earth Sciences Department, Advance reservations with payment are essential Portland State University, who will discuss some for both the banquet and special luncheon, and must applications of mathematics to the study of volcanos. be received by june 12. Checks should be made pay­ There will be talks dealing with "math anxiety" given able to Lewis and Clark College/Mathematics Meet­ by Nancy Cook, joyce Duchesneau, and Dena L. ings, and mailed to: Mathematics Meetings, Campus Patterson. A panel discussion on mathematics con­ Box 111, Lewis and Clark College, Portland, Oregon tests will include a talk by William Firey on the 97219. Putnam Exam; Walter Mientka will talk about MAA high school mathematics contests; and Don Gallagher Accommodations will discuss regional and state mathematics contests. Meals and lodging are available on the Lewis and There will be a series of talks concerning teaching Clark College campus. The rates for meals are: break­ ideas for lower division mathematics courses; the fast $2.25; lunch $3.50; and dinner $4.50. The

230 scheduled hours for these meals are: breakfast Monday Portland Motor Hotel 1414 s.w. 6th through Friday 7:00- 7:30a.m.; Saturday 8:00- Portland, OR 97201 8:30a.m.; and 11:00 a.m. on Sunday. Lunch is Telephone: 503-221-1611 served daily from noon to 12:30 p.m., and dinner is Single $35-39 Double $44 up served daily from 5:00 to 5:30 p.m. There are no Triple $51 up restaurants near the Lewis and Clark College campus. The rates for lodging in the dormitories are $8.10 per person per night for double occupancy, Ranch Inn Motel Boulevard $11.10 per night for single occupancy. Some 10138 S.W. Barbur and Portland, OR 97219 family units arc available, and information about Telephone: 503-246-3375 these may be obtained by writing to the address Single $14-19 Double $17-21 shown below. The rooms are college dormitory Double-Double $24-29 rooms, clean and comfortable but not luxurious. (Some kitchens are available) Most rooms have two single beds but no telephone, are small; television, or private bath. The dormitories Holiday Inn two floors accommodate about 15 persons each. A (Stafford Rd. and 1-5 exit) lounge, including television set, is located on each Wilsonville, OR 97070 floor and meeting rooms with blackboards can be Telephone: 503-682-2211 Double $38 up rates are subject to a Single $35 found in the basements. All Double-Double $40 up possible increase of at most 15 percent. Advance reservations are absolutely necessary; they must be received by June 12 and accompanied by payment Travel and Local Information of $8.1 0 or $11.1 0 per person for the first night. Portland is situated at the northern end of the Make checks payable to Lewis and Clark College/ Willamette Valley, at the intersection of Interstate 5 Mathematics Meetings, and mail to Mathematics (1-5) and Interstate 84 (1-84, previously I-BON). Meetings, Campus Box 111, Lewis and Clark College, Portland is served by most of the major airlines, Portland, Oregon 97219. Greyhound and Trailways bus companies, and The motels listed below are all within 15 minutes Amtrak. There is limousine service (DART) from the driving time from the campus; none are within walk­ airport to the center of the city, from which bus ing distance. The Portland Motor Hotel lies near a service is available to the college. The limousine runs city bus line ( #40) which serves the campus. Rates every twenty minutes and the fare is $3.50. Lewis do not include tax and are subject to change by and Clark College is located in a residential area in June. Participants who desire motel accommodations the southwest section of the city, about five miles should make reservations directly with the hotel or (or ten minutes) south of the center of the city, and motel. is served by Route #40 of the Tri-Met city bus sys­ tem on an hourly basis. (Beware: There are two The lakeshore Motor Hotel #40 routes, so look for an "L & C" sign in the bus 210 N. State Street window, or ask the driver; taxi fares from the city lake Oswego, OR 97034 exhorbitant.) For those Telephone: 503-636-9679 center to the college are Single $24 Double $28 arrving by car, take the Terwilliger Boulevard exit off Double-Double $34 1-5; there is an exit from both the north and the (All rooms have kitchens) south. From either exit ramp turn right (south) and follow the signs about two miles to Lewis and Clark Motel 6 at the entrance (Boones Ferry and 1-5 exit) College. A large campus map is posted 17950 S.W. lower Boones Ferry Rd. to the Security Office and Information Center located lake Oswego, OR 97034 at Gate #3. Telephone: 503-639-0631 Single $11.95 Double $15.95 Kenneth A. Ross Double-Double $18.95 Vancouver, British Columbia Associate Secretary

231 1981 SUMMER SEMINAR IN APPLIED MATHEMATICS Fluid-Dynamical Problems in Astrophysics and Geophysics june 29-july 11, 7987 University of Chicago, Chicago, Illinois

The thirteenth AMS-SIAM Summer Seminar in lems that are relevant to a scientific understanding of Applied Mathematics will be held June 29-July 11, physical phenomena taking place in the contexts of 1981, and will take place at the University of stars, planets, oceans, and atmospheres, and with Chicago, Chicago, Illinois. The seminar will be mathematical techniques and analysis appropriate to sponsored jointly by the American Mathematical these problems. The format of the seminar purposely Society and the Society for Industrial and Applied mixes together scientists applying certain areas of Mathematics, with anticipated financial support mathematics with mathematicians expert in those from the National Science Foundation, the National areas. Aeronautics and Space Administration, and the Na­ Individuals may apply for admission to the tional Oceanographic and Atmospheric Administra­ seminar. Application blanks for admission and/or tion. financial assistance can be obtained from the Meeting The topic Fluid-Dynamical Problems in Astro­ Arrangements Department, American Mathematical physics and Geophysics was selected by the AMS­ Society, P. 0. Box 6248, Providence, Rhode Island SIAM Committee on Applied Mathematics whose 02940. The application deadline was March 15, members are Roger Brockett, John Dennis, Frank C. 1981; however, late applications will be considered. Hoppensteadt (chairman), Norman Lebovitz, and An applicant will be asked to indicate his or her sci­ Sanjo.y K. Mitter. The members of the organizing entific background and interest, and should have committee are Victor Barcilon, University of Chicago; completed at least one year of graduate school. A Richard DiPrima, Rensselaer Polytechnic Institute; graduate student's application must be accompanied Peter Goldreich, California Institute of Technology; by a letter from his or her faculty advisor concerning Norman Lebovitz (chairman), University of Chicago; the applicant's ability and promise. Those who wish Joseph Pedlosky, Woods Hole Oceanographic Insti­ to apply for a grant-in-aid should so indicate; how­ tute; and Alar Toomre, Massachusetts Institute of ever, funds available to the seminar are limited and Technology. so individuals who can obtain support from other The seminar will focus on fluid-dynamical prob- sources should do so. 1981 SUMMER RESEARCH INSTITUTE Si ngu I arities Humboldt State University, Arcata, California, july 20-August 7, 7987

The twenty-ninth Summer Research Institute mately $22 per person for each day or attendance at sponsored by the American Mathematical Society the institute. In the early spring a brochure will be will be devoted to singularities, and will take place available containing information about the scientific at Humboldt State University in Arcata, California, program, firm room and board rates, residence and from July 20 to August 7. The Organizing Commit­ dining hall facilities, local information, and a res­ tee includes Professors Philip Church, Alan Durfee, ervation form for accommodations in the residence Martin Golubitsky, Peter Orlik {chairman), Le Dung halls. Each participant will pay a social fee to cover Trang, and Philip Wagreich. It is anticipated that the the cost of refreshments served at breaks, and for institute will be supported by a grant from the social events. There will also be a registration fee of National Science Foundation. $45 {$15 for those who are students or unemployed). The main objective of the institute will be to re­ (See the report on page 196 of the February 1981 view the results obtained in the past decade in the Notices regarding registration fees.) newly emerging field of singularities. The area is Funds for participant support will again be fertile to a great extent because it employs a wide limited, and it is hoped that a number of participants variety of techniques from differential topology, who wish to attend will obtain their own support. algebraic geometry, pure algebra, and algebraic topol­ Those interested in taking part ill the institute and/or ogy. It is the hope of the organizers that this insti­ being considered for financial assistance should send tute will serve as a vehicle to bring experts in all their requests to the Chairman of the Organizing these fields together and provide stimulus for new Committee, c/o Meeting Arrangements Department, progress in the field. American Mathematical Society, P. 0. Box 6248, Housing accommodations will be provided on Providence, Rhode Island 02940, prior to April 15, the campus for those attending the institute, and 1981. The Committee will then consider such re­ daily meals will be served in a nearby dining hall. quests, and applicants will be notified shortly there­ The room and board rate will amount to approxi- after.

232 ings. Papers not selected for special sessions will Invited Speakers automatically be considered for regular sessions unless at AMS Meetings the author gives specific instructions to the contrary.

june 1981 Meeting at Portland, Oregon The individuals listed below have accepted in­ vitations to address the Society at the times and Deadline for consideration: April 6, 1981 places indicated. For some meetings, the list of Roy Ryden speakers is incomplete. Number theory

The individuals listed below have accepted August 1981 Meeting at Pittsburgh, Pennsylvania invitations to address the Society at the times and Deadline for consideration: May 11, 1981 places indicated. For some meetings, the list of jacob Burbea speakers is incomplete. Topics in complex analysis Portland, Oregon, june 1981 Cameron MeA. Gordon Knot links and 3-monifolds Andrew Majda Harold M. Stark Robert Gordon Noncommutotive ring theory Pittsburgh, Pennsylvania, August 1981 John E. Hopcroft Shreeram Abhyankar Richard M. Karp Algorithms and complexity Richard Beals Serge Lang Bernard Maskit Andrew Casson (Colloquium Lecturer) Kleinion groups Robert L. Griess, jr. Andrew Odlyzko Robert T. Powers Peter W. Jones Linda Preiss Rothschild C*-olgebros and applications james V. Ralston Austin, Texas, November 1981 Hyperbolic partial differential equations M. S. Baouendi C. MeA. Gordon Werner C. Rheinboldt john M. Franks Edgar Reich Numerical analysis R. 0. Wells, Jr. Complex geometry and mathematical physics Organizers and Topics November 1981 Meeting at Austin, Texas Deadline to be announced. of Special Sessions R. H. Bing Low-dimensional topology Names of organizers of special sessions to be John R. Cannon held at meetings of the Society are listed below, Inverse and/or not-well-posed problems in portio/ along with the topic of the session. Most of the differential equations papers presented at special sessions are by invitation. Carolyn C. Narasimhan and Robert F. Williams Other papers will be considered at the request of the Smooth dynamical systems author provided that this is indicated clearly on the Bruce P. Palka abstract form and it is submitted by the deadlines Quasi-informal mappings given below. These deadlines are usually three weeks jeffrey D. Vaaler earlier than the normal abstract deadlines for meet- Number theory and related parts of analysis

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

ACTIONS OF FINITE GROUPS ON THE simplex by a simplicial action of H1 (N, R/Z)G coming HYPERFINITE TYPE ll1 FACTOR from permutations of the vertices. All values of the by Vaughn F. R. jones invariants are realized by actions of G on R. Abstract: The author gives a complete classifica· Memoir Number tion up to conjugacy of the actions of a 237, v + 70 pages (soft cover) finite group List price $4.40, institutional member $3.30, G on the hyperfinite 11 1 factor R in terms of three individual member $2.20 invariants: a normal subgroup N of G; an element of ISBN 0·8218·2237·3; LC 80·22560 the relative cohomology group H2(G/N,G,R/Z) and Publication date: November 1980 an element of the quotient of a finite dimensional To order, please specify MEM0/237 N

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

233 PITTSBURGH MEETINGS, August 15-21, 1981 First Announcement

The August 1981 Joint Mathematics Meetings, in­ 85TH SUMMER MEETING OF THE AMS cluding the 85th summer meeting of the AMS, the August 18-21, 1981 61st summer meeting of the Mathematical Association of America, and the 1981 annual meeting of Pi Mu Epsilon will be held August 17- 21, 1981 Colloquium Lectures (Monday- Friday), at the University of Pittsburgh. There will be a series of four Colloquium Lectures The meetings will be preceded by the AMS Short presented by SERGE LANG of Yale University. The Course on August 15 and 16 (Saturday and Sunday), tentative title of the lecture series is Units and class 1981. numbers in algebraic geometry and ·number theory. The The members of the Local Arrangements Commit­ lectures will be given at 1:00 p.m. on Thesday, August tee are Elayne Arrington-Idowu, F. Gonzalez Asenjo, 18, and at 11:10 a.m. on Wednesday, Thursday, and William A. Beck, Mario Benedicty, Frank T. Birtel (ex Friday, August 19, 20, and 21. Henry W. Block, Jacob Burbea (chairman), officio), Steele Prises W. Eugene Deskins, Barbara T. Faires, James P. Fink, William G. Fleissner, Ka-Sing Lau, William The 1981 Leroy P. Steele Prizes will be awarded at J. LeVeque (ex officio), Earle F. Myers (publicity a session at 4:00 p.m. on Thursday, August 20. director), David P. Roselle (ex officio), Kathleen Ann Invited Addresses Taylor, Earl G. Whitehead, and Melvin Woodard. By invitation of the Program Committee, there will be eight invited one-hour addresses. The speakers are WHERE TO FIND IT PAGE as follows: SUMMER MEETING OF THE AMS 234 SHREERAM ABHYANKAR, Purdue University; Addresses, Colloquium Lectures, Prizes, Invited RICHARD W. BEALS, Yale University; ANDREW Special Sessions, Contributed Papers, Council and Business Meetings, Committee on CASSON, University of Cambridge; ROBERT L. Employment and Educational Policy GRIESS, Jr., Institute for Advanced Study; PETER PREREGISTRATION AND HOUSING 235 W. JONES, University of Chicago; RICHARD M. OTHER ORGANIZATIONS 236 KARP, University of California, Berkeley; ANDREW AWM, MAA, liME ODLYZKO, Bell Laboratories; and LINDA PREISS AMS SHORT COURSE 237 ROTHSCHILD, University of Wisconsin, Madison. OTHER EVENTS OF INTEREST 238 The titles, dates and times of these lectures will be Book Sales, Summer List of Applicants, announced in the June issue of the Notices. Exhibits, Second-hand Book Exchange TIMETABLE 239 Special Sessions INFORMATION FOR PARTICIPANTS 240 By invitation of the same committee, there will be Registration at Meetings, University Housing, nine special sessions of selected twenty-minute papers. Food Services, Hotel Accommodations The titles of these special sessions and the names of CAMPUS MAP 244 the mathematicians arranging them are as follows: REGISTRATION DESK SERVICES 245 AMS/MAA Information, Audio-Visual Aid, Topics in complez analysis, JACOB BURBEA, Comments and Complaints, Check Cashing University of Pittsburgh; Knot links and 3-manifolds, Lost and Found, Local Information, Mail, CAMERON M. GORDON, University of Texas, Telephone Messages, Personal and Austin; Noncommutative ring theory, ROBERT GOR­ Transparencies, Visual Index Algorithms and complerity, MISCELLANEOUS INFORMATION 246 DON, Temple University; Athletic Facilities, Book Stores, Camping, JOHN E. HOPCROFT, Cornell University; Kleinian Child Care, Crib Rental, Libraries, Local groups, BERNARD MASKIT, State University of Information, Medical Services, Parking, New York, Stony Brook; C*-algebras and applications, Social Events, Travel, Weather ROBERT T. POWERS, University of Pennsylvania; Hyperbolic partial differential equations, JAMES V. IMPORTANT DEADLINES Abatraeta, RALSTON, University of California, Los Angeles; For conaideration for apeeial ~eaaiona May 11 Numerical analysis, WERNER C. RHEINBOLDT, Of contributed papen June 1 University of Pittsburgh; and Complez geometry and July 10 Summer Lilt of Applicant• mathematical physics, R. 0. WELLS, Jr., Rice Univer­ Preregiatration and Bouling July 10 Bouaing change• or sity. eaneellationa (refund of depolit) July 22 Most of the papers to be presented at these special Second-band Book Exchange Auguat 10 sessions will be by invitation; however, anyone con­ (50% refund) U Preregiatration eaneellationa Auguat tributing an abstract for the meeting who feels that Duea eredit for nonmember~ September 21 his or her paper would be particularly appropriate for

234 PREREGISTRATION AND HOUSING

Preregistration. Preregistration for these meetings Summer List of Applieants. The AMS will pub­ must be eompleted by July 10, 1981. All those wishing lish a summer list of mathematical scientists seeking to preregister must complete the form which appears employment for distribution at the Pittsburgh meet­ at the back of this issue and submit it along with the ing in August 1981. appropriate preregistration fee(s) to the Mathematics To be included in the list, applicants should com­ Meetings Housing Bureau in Providence by July 10. plete the special applicant preregistration form found Preregistration Fees. Preregistration fees do not at the back of this issue of the Notices. The com­ represent an advance deposit for lodgings. One must, pleted form should be mailed with the meeting pre­ however, preregister for the meetings in order tu ob­ registration form. The deadline for receipt of ap­ tain confirmed university accommodations through plicant forms is the same as for the Joint Meetings the Mathematics Meetings Housing Bureau, as out­ (July 10, 1981). See the section on OTHER EVENTS lined in the column to the right. OF INTEREST for more details. Please note that separate fees and eheeks are re­ Mathematies Meetings Housing Bureau. The form quired for the MAA Minicourse. Checks for the AMS for requesting university accommodations will be Short Course and/or Joint Mathematics Meetings found at the back of this issue. The use of the services should be made payable to the AMS, and checks offered by the Mathematics Meetings Housing Bureau for the MAA Minicourse should be made payable to requires preregistration for the meetings. Persons the MAA. Those who preregister for the AMS Short desiring confirmed university accommodations should Course and/or Joint Mathematics Meetings pay lower complete the form, or a reasonable facsimile, and send fees than those who register at the meetings. The it to the Mathematics Meetings Housing Bureau, Post preregistration fees are as follows: Office Box 6887, Providence, Rhode Island 02940, so that it will arrive no later than July 10, 1981. AMS Short Course Please note that there are separate sections on the Student/Unemployed $ 5 form for requesting various kinds of university ac­ All Others $25 commodations. Please read carefully the section on Joint Mathematies Meetings University Housing before completing the form. Member of AMS, MAA, IIME $32 Reservations will be made in accordance with Nonmember $49 preferences indicated on the reservation form, insofar Student/Unemployed $ 6 as this is possible. All residence hall reservations will MAA Minieourse be confirmed by the Housing Bureau. A deposit is re­ All Participants $15 quired for university housing; see seetion on University Housing. A $2 charge will be imposed for all invoices prepared All reservation requests must be received in writ­ when preregistration forms are submitted without ac­ ing and be processed through the Housing Bureau in companying check(s) for the preregistration fee(s) or Providence. Please do not contact the University of are accompanied by an amount insufficient to cover Pittsburgh direct. Telephone requests will not be ac­ the total fee(s). Preregistration forms received well be­ cepted. fore the deadline of July 10 which are not accompanied Participants planning to share accommodations by correct payment will be returned to the participant should provide the name(s) of the person(s) with whom with a request for resubmission and full payment. they plan to occupy a room. Each participant should, A 50 percent refund of the preregistration fee( s) will however, complete a separate preregistration form. In be made for all cancellations received in Providence order to avoid confusion or disappointment, parties no later than August 14, 1981. No refunds will be planning to share rooms should send in their forms granted for eaneellations reeeived after that date, or together. to persons who do not attend the meetings. Please make all changes in university reservations Those who preregister for the AMS Short Course with the Housing Bureau in Providence before July will be able to pick up their badges and other material 22, 1981. See the section on University Housing. No in Pittsburgh after 11:00 a.m. on Saturday, August changes are allowed after July 22. 15, 1981, during the hours the AMS Short Course registration desk is open. * * * * * * * * * * * * * * * * * * * * * Those who preregister for either the Joint N.B.: Please affix your AMS or MAA mailing label Mathematics Meetings or MAA Minicourse or both to the preregistration/housing form where indieated. will be able to pick up their badges and other material If you do not have a label readily available, please in Pittsburgh after 4:00 p.m. on Sunday, August supply eomplete name, address, and AMS or MAA 16, 1981, during the hours the Joint Mathematics member eode. Meetings registration desk is open.

235 one of these sessions should indicate this clearly on the abstract, and should aubmit it by May 11, 1981, Committee on the Agenda for Busineas Meetings three weeki earlier than the nonnal deadline for con­ The Society has a Committee on the Agenda for tributed papen, in order that it may be considered for Business Meetings. The purpose is to make Business inclusion. Meetings orderly and effective. The committee does Contributed Papen not have legal or administrative power. It is in­ There will be sessions for contributed papers on tended that the committee consider what may be has Tuesday afternoon, Wednesday morning, Thursday called "quasi-political" motions. The committee proposed mo­ morning and afternoon, and Friday morning and several possible courses of action on a afternoon. Abstracts should be prepared on the stan­ tion, including but not restricted to dard AMS form available from the AMS office in (a) doing nothing: Providence or in departments of mathematics, and (b) conferring with supporters and opponents to should be sent to the American Mathematical Society, arrive at a mutually accepted amended version to be Post Office Box 6248, Providence, Rhode Island 02940, circulated in advance of the meeting; so aa to arrive by the abatraet deadline of June 1, 1981. (c) recommending and planning a format for debate Members are reminded that a charge of $7 is imposed to suggest to a Business Meeting; for retyping abstracts that are not in camera-ready (d) recommending referral to a committee; form. (e) recommending debate followed by referral to a If necessary, late papers will be accepted for presen­ committee. tation, but will not be listed in the printed program There is no mechanism that requires automatic sub­ of the meeting. mission of a motion to the committee. However, if a motion has not been submitted through the com­ Audio-Viaual Equipment mittee, it may be thought reasonable by a Business Rooms where special sessions and contributed paper Meeting to refer it rather than to act on it without sessions will be held will be equipped with an overhead benefit of the advice of the committee. projector, screen, and blackboard. The committee consists of Everett Pitcher (chair­ Presenters of ten- or twenty-minute papers are man), Marian B. Pour-El, David A. Sanchez, and urged to use the overhead projector rather than the Guido L. Weiss. blackboard for their presentation in order to obtain In order that a motion for the Business Meeting of maximum visibility by all members of the audience of August 20, 1981, receive the service to be offered by the material being presented. the committee in the most effective manner, it should AMS Committee on Employment have been in the hands of the secretary by July 17, and Educational Policy (CEEP) 1981. Everett Pitcher, Secretary The Society's Committee on Employment and Educational Policy (CEEP) and the Mathematical Association of America will cosponsor an open session ACTMTIES OF OTHER ORGANIZATIONS at 4:30p.m. on Monday, August 17. John W. Jewett Aaaoeiation of America (MAA) of Oklahoma State University, Stillwater, will present The Mathematical its 61st summer meeting August 17-19 a preliminary report on the results of the 1980 CBMS will hold (Monday- Wednesday). The Business Meeting of the survey of undergraduate programs in the mathemati­ MAA will take place at 10:00 a.m. on Tuesday, August cal sciences; Barnet M. Weinstock of the University of 18, at which the Carl B. Allendoerfer, Lester R. Ford, North Carolina, Charlotte, a member of CEEP, will and George P6lya awards will be presented. A series of serve as the moderator. three Earle Raymond Hedrick Lectures will be given Council Meeting by DANIEL GORENSTEIN of Rutgers University, The Council of the Society will meet at 5:00 p.m. New Brunswick. The title of this series of lectures on Tuesday, August 18. is not yet available. Lectures will be given by RONALD L. GRAHAM Meeting Business (Bell Laboratories), HEINl HALBERSTAM (Uni­ The Business Meeting of the Society will take place versity of lllinois, Urbana-Champaign), PATRICK at 5:00p.m. on Thursday, August 20. The secretary L. HAYES (Federal Reserve System), C. HAZARD notes the following resolution of the Council: Each (University of Pittsburgh), D. ffiJGHES-HALLETT person who attends a Business Meeting of the Society (Harvard University), MARVIN I. KNOPP (Temple shall be willing and able to identify himself as a mem­ University), A. J. LOHWATER (Case Western Reserve ber of the Society. In further explanation, it is noted University), D. K. RAY-CHAUDHURI (Ohio State that each person who is to vote at a meeting is thereby University), and R. 0. WELLS, Jr. (Rice University). identifying himself as and claiming to be a member of the A panel discussion on the interface between high American Mathematical Society. For additional infor­ school and college is being organized by J. Crosswhite mation on the Business Meeting, please refer to the (Ohio State University), and B. Michael (University announcement titled Committee on the Agenda for of Pittsburgh) is organizing a panel discussion on in­ Business Meetings. stitutional resp< nses to mathematics anxiet)'.

236 Ameriean Mathematical Society Short Coune Series THE MATHEMATICS OF NETWORKS August 15- 16, 1981

The American Mathematical Society will present The reading lists also give other sources for study a one and one-half day short course entitled "The prior to the course. Mathematics of Networks" on Saturday and Sunday, The short course is open to all who wish to par­ August 15 and 16, 1981, at the University of Pitts­ ticipate upon payment of the registration fee. There burgh. are reduced fees for students and unemployed in-~ The theory of networks has roots that extend back dividuals. For details please refer to the section en- , to the nineteenth century and beyond, but in the titled MEETING PREREGISTRATION AND REG-. last few decades it has flowered spectacularly, in both ISTRATION. theory and application. This short course will intro­ The organizer of this course is Stefan A. Burr duce the participants to some of the ideas, methods, of the Department of Computer Science at CUNY, and applications of the mathematics of networks. City College. This course was recommended by The theory of networks is primarily concerned with the Society's Committee on Employment and Edu­ algorithms, including heuristic algorithms, for solv­ cational Policy, whose members are Lida K. Barrett ing problems involving networks. For example, two (chairman), Donald C. Rung, Hans Schneider, Robert basic problems of the theory are those of finding the J. Thompson, Barnett M. Weinstock, and William shortest path between two points in a network of dis­ P. Ziemer. The short course series is under the tances or the greatest possible flow through a network direction of the CEEP Short Course Subcommittee, of capacities. For each of these, and many others, whose members are Ronald L. Graham (chairman), efficient algorithms exist. The question of how efficient Robert M. McKelvey, Cathleen S. Morawetz, Barbara an algorithm can possibly be for a particular problem L. Osofsky, and Philip D. Straffin, Jr. leads to the study of computational complexity. When The course will consist of six 75-minute lectures. good algorithms do not exist, as is often the case, The names of the speakers and the titles of their talks it is necessary to fall back on heuristic approaches. are: Two important applications of the mathematics of Introduction to Basic Network Problems, Frank networks are to vehicle routing and telephone switch­ Boesch (Department of Electrical Engineering ing theory. These two will be treated in some detail, il­ and Computer Science, Stevens Institute of lustrating the diversity of mathematical problems and Technology); applications that the theory finds. Maximum Flows in Networks, Frances Yao (Xerox Palo Synopses of the talks and accompanying reading Alto Research Center); lists follow the announcement of the Summer Meeting in this issue of the Notices. No specific background The Computational Complexity of Network Problems, will be necessary to benefit from this short course, Richard M. Karp (Department of Electrical but it would be helpful to have had some exposure Engineering and Computer Science, University of to operations research, computer science, or discrete California, Berkeley); mathematics (especially graph theory). Those who Effective Use of Heuristic Algorithms in Network Design, wish to get the most benefit from the course should Shen Lin (Bell Laboratories, Murray Hill); consult The Mathematics of Networks, Daniel J. Kleitman Howard Frank and Joan Frisch, Network Analysis, (Department of Mathematics, Massachusetts Inst­ Scientific American, volume 223 (1970), July, pages itute of Technology); 94-103. Telephone Switching Networks, Nicholas Pippenger Eugene L. Lawler,Combinatorial Optimization: Net­ (IBM Research Center, San Jose). works and Matroids, Holt, Rinehart and Winston, New York, 1976, chapters 1 and 2. The course will conclude with a general discussion.

237 Plans are presently being made for a banquet for in­ This material must, however, be received in the dividuals who have been members of MAA for twenty­ Providence office no later than July 10, and preferably five years or more. The MAA is also planning a Mini­ should accompany the preregistration/housing form. course; further details will be available in the June Both should be mailed to the Mathematics Meetings issue of the Notices. Housing Bureau, Post Office Box 6887, Providence, Pi Mu Epsilon (IIME) will hold its annual meeting Rhode Island 02940. Information cannot be taken over on TUesday and Wednesday, August 18 and 19. The J. the telephone, either in Providence after July 10 or at Sutherland Frame Lecture will be given at 8:30 p.m. the meeting. on TUesday. Applicants who submit an applicant form, but do The Association for Women in Mathematics (AWM) not plan to attend the meeting will be listed on the will hold a panel discussion at 3:00 p.m. on printed list only. There is no provision made for post­ Wednesday, August 19, and its Business Meeting at ing resumes for participants who do not attend the 4:00 p.m. the same day. meeting. Exhibits OTHER EVENTS OF INTEREST The book and educational media exhibits will be Summer List of Applicants open from 1:00 p.m. to 5:00 p.m. on Monday, August At the direction of the AMS-MAA-SIAM Commit­ 17, and from 8:30a.m. to 4:30p.m. on TUesday and tee on Employment Opportunities, which is charged Wednesday, August 18 and 19. with operation of the Employment Register and Book Sales with the publication Employment Information in the Mathematical Sciences, the Society will publish a sum­ Books published by the AMS and the MAA will mer list of mathematical scientists seeking employ­ be sold for cash prices somewhat below the usual ment, for distribution at the Pittsburgh meeting in prices when these same books are sold by mail. These August 1981. discounts will be available only to registered par­ Copies of the 1981 summer list will be available at ticipants wearing the official meeting badge. Visa and the Transparencies Section of the registration desk for Mastercard credit cards will be accepted for book sale Sl. Following the meeting, they may be purchased purchases at the meeting. The book sales will be open from the AMS Office in Providence for Sl. This list the same days and hours as the Joint Mathematics should prove useful to employers who have last minute Meetings registration desk. openings, in the latter part of the summer or in the Second-hand Book and Journal Exchange fall. At the Joint Books and Journals display in the ex­ The applicant resume form, at the back of this hibit area, notebooks will be available with lists of issue of the Notices, and the preregistration form for books on mathematics for sale or being sought. There the Joint Meetings, will be reprinted in the May will be separate notebooks of books for sale and books issue of the publication Employment Information in the wanted with names and addresses of the owners (or Mathematical Sciences. seekers). The details of the transactions themselves The form is supplemented by a coded strip sum­ are to be arranged by the participants, and the AMS marizing the information contained in it. Please be will not accept responsibility for settling disputes if sure to fill in the summary strip in addition to com­ arrangements go awry. pleting the resume form itself, which will be posted It is necessary to charge a small fee to cover the cost at the meeting. The strips will be used to prepare of preparing the notebooks. Each person participating printed lists of the preregistered applicants. is asked to pay $2 for the first page, and S1 for each Great care should be taken in preparing the coded additional page (one side is one page). Books for sale strip as well as the resume form in order to assure that must be listed on separate pages from books wanted the listings are readable. Please study the instructions (as many of either per page as one wishes), and the carefully before filling out the form. lists made up on 8.5 inch by 11 inch pages. Instead of an Employment Register at the Summer Please include the information below: Meeting in Pittsburgh, there will be an opportunity for Books Offered: Name, address, telephone, will or posting of both applicant resume forms and employers' will not be at the meeting. Author, title, publisher, announcements of open positions in or near the main year of publication, condition of book (for example meeting registration area. There will be no special slightly used, annotated lightly or heavily, like new), room set aside for interviews. No provisions will be price or books wanted in trade. made by the Society for interviews: arrangements Books Wanted: Name, address, telephone, will or will be the responsibility of the employer and the ap­ will not be at the meeting. Author, title, publisher, plicant. Messages may be left in the message box lo­ edition, price one is willing to pay. cated in the registration area. Lists may be sent to the Promotion Department of Special applicant and employer forms will be avail­ the Society until August 10, or may be brought to the a~le at the Transparencies Section of the registra­ meeting. If brought to the meeting, two copies of each tion desk both for applicants to post resumes and page should be supplied so that duplicate notebooks for employers to post forms announcing positions. can be maintained. Employers who do not plan to attend, and wish Please send your lists to: Promotion Department, to display literature only, may do so at no charge. AMS, Post Office Box 6248, Providence, Rhode Island

238 TIMETABLE The purpose of this timetable is to provide assistance to registrants in the selection of arrival and departure dates. The program, as outlined below, is based on information available at press time.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

SATURDAY, August 15 THE MATHEMATICS OF NETWORKS 11:00 a.m. - 4:00 p.m. REGISTRATION 2:00p.m. - 3:25 p.m. Introduction to basic network problems Frank Boesch 3:30p.m. - 4:45 p.m. Maximum flows in networks Frances Yao

SUNDAY, August 16 8:00a.m. - 2:00 p.m. REGISTRATION 9:00a.m. - 10:15 a.m. The computational complexity of network problems Richard M. Karp 10:30 a.m. - 11:45 a.m. Effective use of heuristic algorithms in network design Shen Lin 1:30 p.m. - 2:45 p.m. The mathematics of networks Daniel J. Kleitman 3:00p.m. - 4:15p.m. Telephone switching networks Nicholas Pippenger 4:15p.m. - 5:00p.m. General discussion

JOINT MATHEMATICS MEETINGS

SUNDAY, August 16 American Mathematical Society Mathematical Association of America 9:00a.m. - 4:00 p.m. I Board of Governors Meeting 4:00p.m. - 8:00p.m. REGISTRATION 4:00p.m. - 8:00 p.m. AMS Book Sale MAA Book Sale 7:00p.m. - 10:00 p.m. Section Officers Meeting

MONDAY, August 17 AMS Other Organizations

8:00 a.m. - 4:30 p.m. REGISTRATION 8:00 a.m. - 4:30 p.m. AMS Book Sale MAA Book Sale 9:00 a.m. - 9:10a.m. MAA - Welcome Address 9:10 a.m. - 10:00 a.m. MAA - The Earle Raymond Hedrick Lectures Lecture I - Daniel Gorenstein 10:10 a.m. - 11:00 a.m. MAA - Invited Address 11:10 a.m. - noon MAA - Invited Address 1:00 p.m. - 5:00p.m. EXHffiiTS 1:30 p.m. - 2:20p.m. MAA - The Earle Raymond Hedrick Lectures Lecture II - Daniel Gorenstein 2:30p.m. - 3:20p.m. MAA - Invited Address 3:30p.m. - 4:20p.m. MAA - Invited Address 4:30p.m. AMS CEEP/MAA - OPEN SESSION The 1980 CBMS Survey 7:00p.m. MAA - Film Program 7:00p.m. - 10:00 p.m. Pi Mu Epsilon - Reception

TUESDAY,_ August 18 AMS Other Organizations

8:30a.m. - 4:30p.m. REGISTRATION 8:30 a.m. - 4:30p.m. AMS Book Sale I MAA Book Sale 8:30 a.m. - 4:30 p.m. EXHffiiTS 9:00a.m. - 9:50 a.m. IMAA - The Earle Raymond Hedrick Lectures Lecture III - Daniel Gorenstein 10:00 a.m. - 10:50 a.m. MAA - Business Meetin g

239 02940. Make checks payable to the A...\fS. If you have Details are given below. The deposit should be sub­ questions, call Phoebe Murdock, 401-272-9500, exten­ mitted at the same time as the preregistration/hous­ sion 237. ing form. Forms received without the deposit will be returned. INFORMATION FOR PARTICIPANTS Should it be necessary for participants to can­ University Housing cel their preregistration and housing, they should be aware that the housing deposits can be refunded Participants desiring confirmed reservations for on­ only up to July 22. Those wishing to cancel should campus housing must preregister prior to the deadline write or telephone the Mathematics Meetings Housing of July 10, 1981. Rooms may be available for those Bureau before this deadline, since no refunds of hous­ who do not preregister, but this cannot be guaranteed. ing deposits can be made after these monies have been The following gPneral statements apply to all resi­ turned over to the University. dence hall accommodations at the University of Pitts­ All those who request university housing in ad­ burgh. vance will receive a written confirmation from the No university residence hall rooms may be occupied Mathematics Meetings Housing Bureau. This confir­ before August 14. All participants must be checked mation should be presented to the university clerk out of the residence halls no later than noon on August at time of check in. The remainder due on food 22. Check out time on other days is 1:00 p.m., and and/or lodgings for the duration of each participant's anyone failing to check out by this time will be charged stay as originally requested on his or her preregistra­ another night's lodging and food by the university. tion/housing form is due in full at time of check in. No The university is not responsible for articles left changes can be made in arrival or departure dates or behind in the residence halls after check out. therefore in the amount due to the University once this The university regrets that it is unable to provide information has been tumed over to the University by porters to assist participants with their luggage. the Mathematics Meetings Housing Bureau on July Two sheets, a pillow, and one pillowcase are pro­ 22. Cash, personal checks or travelers' checks will be vided for each bed being occupied, as well as a set of accepted; credit cards will not. Checks must be made towels, soap, and drinking glass. Wash cloths are not payable to the University of Pittsburgh. available, nor are clothes hangers. A limited number of Individuals who fail to preregister and obtain con­ blankets will be available upon request. Participants firmed university accommodations must go to the desk are advised to bring their own blanket if they want in the main lobby at Litchfield Towers in order to to be sure of having one. Housekeeping will clean the receive a room assignment, if rooms are still avail­ rooms daily, but will not make the beds. Clean towels able. The number of rooms being held for late com­ will be exchanged for used as needed at a central ers is quite small, and everyone is urged to preregister location. Rooms are equipped with desks and chairs, and obtain housing in advance in order to avoid dis­ dressers, and table lamps. Most rooms have two single appointment. Again, no guarantee can be made that beds. the university will be able to make rooms available for No pets are allowed in the residence halls. Alcoholic last-minute arrivals. beverages are allowed in the residence halls, provided There are three types of accommodations available the 21 year age limit is observed. at the University of Pittsburgh: There will be no telephone service in any of Litchfield Towers (7 on campus map), 3990 Fifth the university accommodations, but there are pay Avenue. These residenc•' halls are air-conditioned. telephones and campus telephones in the public lobby The floors are circular, w1th community rest rooms, areas in the residence halls, and many are located including showers, in the center of each floor. For about the campus, such as in the basement of the this reason, it may be necessary for one sex or the Cathedral of Learning and in the lobby of the Student other to use the rest rooms on either the floor above Union. or the floor below the one on which their rooms are No more than two adults may oeeupy a room at the located. Elevators stop only on floors with common BBme time. lounge areas (floors 3, 6, 9, 12, 15, 18, and 21), so that Children 16 years of age or under may stay in the it may be necessary to use the stairs when going to same room with a parent and occupy a bed at no the rest room. charge; the single room rate would be charged for the There are coin-operated vending machines and parent. If the child is young enough to occupy a crib or laundromats in each tower. No irons or ironing boards sleeping bag, the child may stay in a room with both are available. Participants should bring their own parents at no charge; the double room rate would be laundry detergent. charged for the parents. A child over 16 years of age Accommodation in Litchfield Towers for those oc­ will be considered an adult and must occupy a bed cupying rooms during the period Sunday, August 16, and pay the adult rate. No cots or cribs are available through Thursday, August 20, includes breakfast and from the university for children. See the section on lunch August 17-21. The rates are as follows: Crib Rental in the June issue of the Notices. Single Occupancy $18/day Those preregistering and requesting university Double Occupancy S14/day per person housing before the July 10 deadline must include a Those occupying rooms Friday or Saturday, August deposit for ene night's lodging or lodging and food. 14 and 15, or Friday, August 21, would pay reduced

240 TIMETABLE

TUESDAY, August 18 American Mathematical Society Other Organizations 11:00 a.m. - 11:50 a.m. MAA- Invited Address noon - 1:00 p.m. llME - Council Luncheon 1:00 p.m. - 2:00 p.m. Colloquium Lecture I Units and class numbers in algebraic geometry and number theory Serge Lang afternoon Special Sessions Sessions for Contributed Papers 2:10 p.m. - 3:10 p.m. Invited Address 3:00 p.m. - 5:30 p.m. llME - Contributed Paper Session 3:20 p.m. - 4:20 p.m. Invited Address 5:00 p.m. - 10:00 p.m. Council Meeting 5:30 p.m. MAA - Banquet for 25-Year Members 6:30 p.m. - 8:15 p. m, llME - Banquet 7:00 p.m. MAA - Film Program 8:30 p.m. - 9:30 p.m. nME - J. Sutherland Frame Lecture

WEDNESDAY, August 19 AMS Other Organizations

morning Special Sessions Sessions for Contributed Papers 8:00a.m. - 9:00 a.m. llME - Dutch Treat Breakfast 8:30 a.m. - 4:30 p.m. REGISTRATION 8:30 a.m. - 4:30 p.m. AMS Book Sale I MAA Book Sale 8:30 a.m. - 4:30 p.m. EXHIBITS 9:10 a.m. - 11:30 a.m. llME - Contributed Paper Session 10:00 a.m. - 11:00 a.m. Invited Address 11:10 a.m. - 12:10 p.m. Colloquium Lecture II Units and class numbers in algebraic geometry and number theory Serge Lang 1:30 p.m. - 2:20 p.m. MAA - Invited Address 2:30p.m. - 3:20 p.m. MAA - Invited Address 3:00 p.m. - 5:00 p.m. Association for Women in Mathematics Panel Discussion and Business Meeting 3:30 p.m. - 5:00 p.m. llME - Contributed Paper Session 3:30 p.m. - 4:20 p.m. MAA - Invited Address 6:30 p.m. PICNIC 9:00 p.m. BEER PARTY

THURSDAY, August 20 AMS MAA

morning Special Sessions Sessions for Contributed Papers 8:30 a.m. - 4:30 p.m. REGISTRATION 8:30 a.m. - 4:30 p.m. AMS Book Sale ~AA Book Sale 10:00 a.m. - 11:00 a.m. Invited Address 11:10 a.m. - 12:10 p.m. Colloquium Lecture lil Units and class numbers In algebraic geometry and number theory Serge Lang afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 2:00 p.m. Invited Address 2:10 p.m. - 3:10 p.m. Invited Address 4:00p.m. - 5:00 p.m. Steele Prize Session 5:00p.m. - 6:00 p.m. Business Meeting

241 . rates because no food service is available the following nonfamily groups of three or more, upon request. This day. These rates are as follows: residence hall is not air eonditioned. The rooms are Single Occupancy $12/day arranged in suites, each suite containing from one to Double Occupancy $ 8/day per person three bedrooms, a living area, kitchenette, and bath. Those requesting single rooms in Litchfield Towers The rooms are somewhat larger than in the other beginning on August 14 or 15 must submit a deposit of residence halls. Participants should .be aware that $12, and those requesting double rooms beginning on there may be some bunk beds in the larger bedrooms. those dates $16. Those requesting single rooms begin­ Participants should bring their own cooking utensils. ning on August 16 or later should submit a deposit of Accommodation in Bruce Hall for those occupying $18, and those requesting double rooms $28. rooms during the period Sunday, August 16, through Participants receiving confirmations for rooms in Thursday, August 20, includes breakfast and lunch Litchfield Towers regardless of arrival date should August 17-21. The rates are as follows: check in upon arrival at the desk in the main lobby, Single Occupancy $19/day which is open twenty-four hours daily. Double Occupancy $15/day per person At time of check-in, participants will receive one Those occupying rooms Friday and/or Saturday, key, which will open the door from the main lobby August 14 and 15, or on Friday, August 21, would pay to the tower, the door to the sleeping room, and the reduced rates because no food service is available the stairwell doors. following day. These rates are as follows: Forbes Residence Hall (52 on campus map), 3525 Single Occupancy $13/day Forbes Avenue. This residence hall is air conditioned. Double Occupancy $ 9/day per person The number of rooms available here is limited. If the Those requesting single rooms in Bruce Hall begin­ Housing Bureau is unable to obtain a room in Forbes ning on August 14 or 15 must submit a deposit of $13, for anyone so requesting, the Bureau will obtain a and those requesting double rooms beginning on those room in Litchfield Towers instead. The rooms are ar­ dates $18. Those requesting single rooms beginning on ranged so that a pair of rooms shares a connecting August 16 or later should submit a deposit of $19, and room containing a wash basin and toilet. Community those requesting double rooms $30. showers are at either end of the wings. There is Participants receiving confirmations for rooms in elevator service; kitchen and laundry facilities are lo­ Bruce Hall regardless of arrival date should check in cated on each floor. Participants are advised to bring upon arrival at the desk in the main lobby of Litchfield their own kitchen utensils and laundry detergent. No Towers, which is open twenty-four hours daily. irons or ironing boards are available. At check-in time, participants will receive one key, Accommodation in Forbes Residence Hall for those which will unlock the front door of the residence hall occupying rooms during the period Sunday, August and the suite door. 16, through Thursday, August 20, includes breakfast Food Services and lunch August 17- 21. The rates are as follows: Breakfast and lunch for those participants stay­ Single Occupancy $19/day ing in university accommodations will be served in Double Occupancy $15/day per person the University Towers Dining Room, located in the Those occupying rooms Friday and/or Saturday, lower level of the Litchfield Towers Residence Hall. August 14, and 15, or Friday, August 21, would pay Breakfast will be served from 6:30 a.m. to 8:30 a.m. reduced rates because no food service is available the and lunch from 11:30 a.m. to 1:00 p.m. The dining following day. These rates are as follows: hall will not be open for dinner. Food service will Single Occupancy $13/day begin with breakfast on Monday, August 17, and end Double Occupancy $ 9/day per person with lunch on Friday, August 21. Those attending Those requesting single rooms in Forbes Residence the AMS Short Course on August 15 and 16 or still on Hall beginning on August 14 or 15 must submit a campus on Saturday, August 22, must eat off campus; deposit of $13, and those requesting double rooms an adjustment has been made in the daily room and beginning on those dates $18. Those requesting single board rate for these individuals. rooms beginning on August 16 or later should submit Participants must show their room key and tag to a deposit of $19, and those requesting double rooms the dining hall cashier as proof of payment in advance $30. for meals. Participants receiving confirmations for rooms in Children 16 years of age and under staying free Forbes Residence Hall on August 14 should check in at in the residence halls with parents may eat break­ the main desk at Forbes after 8:00 a.m. After August fast and lunch in the University Towers Dining Room 14, the desk at Forbes will be open twenty- four hours also. Parents should pay for these meals in advance daily until some time later during the meetings, when at check-in time, in return for which they will receive it will revert to 8:00 a.m. to 4:00 p.m. daily operation. another room key tag for the child. At check-in time, participants will receive one key, The cost of breakfast is $2.40, and lunch $3.60. which will unlock the front door of the residence hall, Participants staying off campus may also purchase and the sleeping room door. lunch in the University Towers Dining Room by pur­ Bruce Hall (8 on the campus map). Participants chasing a meal ticket in the cafeteria. bringing their families will be assigned to this Seconds are allowed except when steak is served. residence hall. Some suites may also be available to Participants are asked to observe the university rule

242 TIMETABLE

FRIDAY, August 21 American Mathematical Society

morning Special Sessions Sessions for Contributed Papers 8:30 a, m. - 1:30 p.m. ASSISTANCE & INFORI\IATION DESK 10:00 a.m. - 11:00 a.m. Invited Address 11:10 a.m.- 12:10 p.m. Colloquium Lecture IV Units and class numbers in algebraic geometry and number theory Serge Lang 1:00 p.m. - 2:00 p.m. Invited Address afternoon Special Sessions Sessions for Contributed Papers that no food or beverages are allowed out of the Registration at the Meetings cafeteria. Meeting preregistration and registration fees only Breakfast is typically eggs, breakfast meat, choice partially cover expenses of holding meetings. All of cold cereal, assorted fruit juices, donuts, muffins, mathematicians who wish to attend sessions are ex­ or toast, and fruit. A typical lunch would be choice pected to register, and should be prepared to show of hamburger/cheeseburger, a hot entree, or a make­ their meeting badge, if so requested. The fees for your-own, deli-style plate; salad bar and dessert. registration at the meetings are: Fresh baked goods are featured at both meals. Hotel Accommodations AMS Short Course Blocks of rooms have been set aside for use by Student/Unemployed $10 participants at the Crossgates Inn and the Hyatt All Other Participants $30 Pittsburgh. Participants should make their own reser­ One-day Fee (Second Day Only) $15 vations early directly with the hotels, and should Joint Mathematics Meetings identify themselves as participants in the Joint Member of AMS, MAA, IIME $42 Mathematics Meetings. The rates listed below are Nonmember $65 subject to change, and to a 7 percent tax. Student/Unemployed $11 The following codes apply: FP = Free Parking; SP = Swimming Pool; AC = Air Conditioned; TV = MAA Minicourse Television; CL = Cocktail Lounge; RT = Restaurant. All Participants $15 The age limit for children under which there is no Registration fees may be paid at the meetings in charge, providing a cot is not required and they are in cash, by personal or travelers' checks, or by Visa or the same room with a parent, is shown in parentheses Mastercard credit cards. Canadian checks must be on the same line as the charge for an extra person marked for payment in U.S. funds. in the room. In all cases "Single" refers to one per­ There will be no extra charge for members of the son in one bed; "Double" refers to two persons in one families of registered participants, except that all bed; and "Twin" refers to two persons in two beds. professional mathematicians who wish to attend ses­ A rollaway cot for an extra person can be added to sions must register independently. double or twin rooms only. Participants will be ad­ All full-time students currently working toward a vised of deposit requirements by the hotels at time of degree or diploma qualify for confirmation. the student registration fees, regardless of income. Crossgateslnn (51 on the campus map) The unemployed status refers to any person cur­ Forbes Avenue at McKee Place, 15213 rently unemployed, actively seeking employment, and Telephone: 412-683-6000 who is not a student. It is not intended to include Single: $42 Double: $49 persons who have voluntarily resigned or retired from Extra person in room: $5 (12 years) their latest position. Code: FP, AC, TV, CL, RT Nonmembers who register at the meetings and Hyatt Pittsburgh (f on the campus map) pay the $65 nonmember registration fee are entitled 112 Washington Place, 15219 to a discount of the difference between the member Telephone: 412-391-5900 registration fee of $42 and the nonmember registra­ Single: $50 Double: $55 Twin: $55 tion fee of $65 as a $23 credit against dues in either Extra person in room: $12 (18 years) the AMS or MAA or both, provided they join before Code: SP, AC, TV, CL, RT September 21, 1981.

243 y, •' ./ ~ ,, ~ ~ C) :::> CD E (I) ,_ ~ I t: !::: "I ii: z "'C) ..c u. u u 0 > c 0 >- z ::!::. t: c rt"\ Cl) .. C) ~ w u"" 2:: Vl z :::>

244 Nonmember students who register at the meetings and pay the $11 registration fee are also entitled to a discount of the difference between the student preregistration fee of $6 and the registration fee of $11 as a $5 credit agimt dues in either the AMS or MAA or both, provided they join before September 21, 1981. Nonmembers and nonmember students who thus qualify may join at the meetings, or by mail afterwards up to the deadline. Registration Dates and Times AMS Short Course Saturday, August 15 11:00 a.m. to 4:00 p.m. Sunday, August 16 8:00 a.m. to noon LL LL 0 Joint Mathematics Meetings (and MAA Minicourse (until filled)]

N'¢l.Ot0f'.COOl.-N meeting at the registration desk will also no longer

REGISTRATION DESK SERVICES AMS/MAA Information Information on the publications and activities of both organizations may be obtained at this section of the registration desk. Audio-Visual Assistance A member of the AMS staff will be available to advise or consult with speakers on their audio-visual I.D(O MM requirements. .!:! Baggage and Coat Cheek .!: u Participants may leave baggage, parcels, coats, etc., for safekeeping at the registration desk during the hours it is open, provided these items are picked up be­ fore the desk closes for the day. Articles left after clos­ ing time cannot be reclaimed until the following morn­ ing. Articles not picked up at the end of the meeting will be turned over to the Department of Mathematics and Statistics. Cheek Cashing The meeting cashier will cash personal or travelers' checks up to $50, upon presentation of the official meeting registration badge, and provided there is c:no.-Nc.o,.....coc:no ...... -.-.--.-.-N enough cash on hand. Canadian checks must be marked for payment in U.S. funds.

245 Assistance, Comments and Complaints Visual Index A log for registering participants' comments or An alphabetical list of registered participants, in­ complaints about the meeting is kept at the cluding local addresses, arrival and departure dates, is Transparencies Section of the registration desk. All maintained in the registration area. participants are encouraged to use this method of MISCELLANEOUS INFORMATION helping to improve future meetings. Comments on all phases of the meeting are welcome. If a written reply Information on athletic facilities, book stores, is desired, participants should furnish their name and camping, child care, crib rental, and libraries will ap­ pear in the June issue of the Notices. address. Participants with problems of an immediate nature Loeal Information requiring action at the meeting should see the meeting Pittsburgh operates on Eastern Daylight Time dur­ manager, who will try to assist them. ing the summer. The campus of the University of Pittsburgh is located in a metropolitan area with Lost and Found a population of nearly 2,ooo;ooo, but is quite close See the meeting cashier. to the Schenley Park and Play Area, including the Schenley Nature Museum, where nature trails and Mail woodland settings are available to all. Also located All mail and telegrams for persons attending the in the area are the Phipps Conservatory, one of the meetings should be addressed to the participant, c/o acclaimed botanical gardens of the world; Carnegie­ Department of Mathematics and Statistics, University Mellon University; and many other points of interest. of Pittsburgh, Pittsburgh, Pennsylvania 15260. Mail The Pittsburgh Pirates baseball team will play the and telegrams so addressed may be picked up at the San Francisco Giants at Three Rivers Stadium on mailbox in the registration area during the hours the August 17, 18, and 19 at 7:30p.m., and the San Diego registration desk is open. U.S. mail not picked up will Padres on August 21 and 22 at 7:30p.m. For ticket be forwarded after the meeting to the mailing address information and/or reservations, call 412-323-1150. given on the participant's registration record. Further local information will be available at the meeting. Local Information The basic fare for local buses is 75 cents; exact This section of the desk will be staffed by mem­ change is required. Main bus lines to and from down­ bers of the Local Arrangements Committee and other town run along Fifth Avenue; the trip takes 15 to 20 volunteers from the Pittsburgh mathematical com­ minutes. Taxi fares are $2, plus $1.20 per mile. (These munity. fares are subject to change.) To drive from the campus to the downtown area, Personal Messagc11 take S. Bouquet to Bates Street to the Boulevard of the Participants wishing to exchange messages during Allies (heading west). Then either take US 22 West, the meetings should use the mailbox mentioned above. or stay on the Boulevard and take "Crosstown." One Message pads and pencils are provided. It is regretted can also take Bigelow Boulevard heading north; it will that such messages left in the box cannot be forwarded turn west. to participants after the meeting is over. Medical Services Telephone Messages If a medical emergency should arise in the residence halls, please contact the front desk immediately. A telephone message center will be located in the Otherwise, dial 2121 from campus phones, or 911 registration area to receive incoming calls for par­ from outside phones. For medical services of a ticipants. The center will be open from August 16 less immediate nature, the Presbyterian-University through 20 only, during the same hours as the Joint Hospital (B on the campus map) is located at DeSoto Mathematics Meetings registration desk. Messages and O'Hara Streets (telephone 647-3333), and the will be taken and the name of any individual for whom Children's Hospital (Con the campus map) is located a message has been received will be posted until the at 125 DeSoto Street (telephone 647-5555). message has been picked up at the message center. Parking The telephone number of the message center will ap­ A limited number of parking places is available for pear in a future issue of the Notices. participants receiving room assignments in Litchfield Transparencies Towers. The fee for these spaces is $2/day. Permits and keys to the parking area can be obtained at the Speakers wishing to prepare transparencies in ad­ main desk in Litchfield Towers. vance of their talk will find the necessary materials Information on parking for participants not staying and !X>Pying machines at this section of the registra­ in Litchfield Towers will be available at a later date. tion desk. A member of the staff will assist and ad­ vise speakers on the best procedures and methods Social Events for preparation of their material. There is a modest The Local Arrangements Committee has arranged charge for these materials. for tours of Fallingwater, the famous summer home of

246 the Kaufman family, designed by Frank Lloyd Wright. through Oakland are Forbes Avenue (one way west to These tours are scheduled for 1:00 p.m. on Tuesday, east) and Fifth Avenue (one way east to west- watch August 18, and Thursday, August 20. The admis­ out for the reverse flow bus lane). The highway that sion fee is $3 per person, and there will be an ad­ goes through Oakland has several names and num­ ditional charge of SlO if transportation to and from bers: US 22-30, I-376, Penn-Lincoln Parkway, and Fallingwater is required. To arrive at Fallingwater "the parkway." by 1:00 p.m., it will be necessary to leave Pittsburgh From the east, the best approach is through the by 10:00 a.m. Interested persons must register for Pennsylvania Turnpike (same as I-76 West). Routes these tours, as admission to Fallingwater is by reser­ I-70, I-78, I-81, and I-83 have direct access to the vation only. To preregister, please complete the ap­ Turnpike. Route I-80 has many indirect accesses propriate section on the preregistration/housing form to the Turnpike, or, if you are not too far from which appears in the back of this issue. At present Pittsburgh, to US-22 West. See below. there is provision for 11 people each day, but this From the west and north, take the Pennsylvania can be increased if sufficient interest is shown through Turnpike (same as I-76 East). Route I-79 from the preregistration. north has direct access to the Turnpike. The Local Arrangements Committee is also ar­ From the Turnpike, whether from east or west, ranging a picnic and beer party, to take place on take Exit 6, "Pittsburgh Interchange," to US-22 West, Wednesday evening, August 19. Details will be avail­ direction "to Pittsburgh." (Other exits may look bet­ able in the June issue of the Notices. ter, but they are not. Also, US-22 will undergo con­ Travel struction, and only one lane will be open each way. Pittsburgh International Airport is served by The alternatives are worse- avoid rush hours Monday American, Braniff, Eastern, Nordair, Northwest, through Friday). From US-22 West, take Exit 7N, Piedmont, TWA, USAir, and United Airlines. The "Oakland." You will be on Bates Street heading trip from the airport to the city center is 17 miles, northeast. See campus map. and takes about 20 minutes. The airport limousine From the south and southwest (including Pittsburgh presently costs $4.95. The limousine stops at several International Airport and I-79 from the south), take downtown hotels, including Crossgates Inn, which US-22 East, which coincides with I-279 and then with is quite close to campus. Participants taking the I-376. From US-22 East, take Exit 5, "Forbes Avenue, limousine to Crossgates could then get a taxi to the Oakland." You will be on Forbes Avenue, heading campus. The schedule for the limousine will be pub­ northeast. See campus map. lished in the June issue of the Notices. Participants wishing to return to the airport should Taxi fare from the airport to the campus presently plan to take the limousine from Crossgates Inn. costs about S20. Most major car rental agencies main­ Weather tain desks at the airport. Information on Pittsburgh weather will be available Penn Central Station is served by Amtrak with two in the June issue of the Notices. trains daily from both east and west. Participants driving to the meeting should be aware Frank T. Birtel that the city section in which the campus is located New Orleans, Louisiana Associate Secretary is called Oakland. The major city streets that go

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

THE GEOMETRY OF THE GENERALIZED critical step toward obtaining a clear picture of the GAUSS MAP basic geometric properties of minimal surfaces in Rn. by David A. Hoffman and Robert Osserman In addition, a general representation theorem for Abstract: This paper is devoted primarily to the minimal surfaces in Rn is established, generalizing the study of properties of the Grassmannian of oriented ones due to Weierstrass and Enncpcr for minimal 2-planes in Rn and to applications of these properties surfaces in R3 The paper also contains some new to understanding minimal surfaces in Rn via the gen­ results about the total curvature of complete minimal eralized Gauss map. The extrinsic geometry of the surfaces and about minimal surfaces whose Gaussian Grassmannian, when considered as a submanifold of image has constant curvature. cpn-2, is investigated, with special emphasis on the nature of the intersection of the Grassmann ian with Memoir Number 236• iii + 105 pages (soft cover) List price $6.40, institutional member $4.80, linear subspaces of cpn-1. These results arc the individual member $3.20 basis for a discussion of minimal surfaces that are ISBN o-8218-2236-5; LC 80-23014 degenerate in various ways; understanding the differ- Publication date: November 1980 ent types of degeneracy and their interrelations is a To order, please specify MEM0/236 N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

247 American Mathematical Society Short Course Series THE MATHEMATICS OF NETWORKS (August 15 and 16, 1981) Synopses and Reading Lists

Introduction to Baeie Network Problems (Frank encounters many subproblems which must be solved, Boesch). The basic concepts involved in network where the simplest ones are often NP-complete .. In analysis and synthesis are described. The notions of real world situations, such theoretical limitations can paths and connectedness are considered in detail. Al­ only give us insights, but not much help in actually gorithms for finding shortest paths are presented for solving the problem, which one must do. Here one both directed and undirected networks. The problem can either "solve" them poorly (often manually), or of finding a minimum cost connected, subnetwork is intelligently, using heuristic algorithms which are both discussed. Algorithms for the solution of this problem effective and efficient. are also presented. In addition certain problems re­ lated to the design of reliable networks are introduced. The lectures will take as a case study the design of a least-cost telecommunications network to serve 1. S. Even, Graph algorithms, Computer Science large business corporations' voice traffic needs. Here Press, Potomac, Maryland, 1979. functional decomposition of the complex networking 2. E. Lawler, Combinatorial optimization: Networks and matroids, Holt, Rinehart and Winston, New York, problem into sequential subproblems (modular com­ New York, 1976. ponents) is the key to success. Each subproblem is 3. E. Minieka, Optimization algorithms for networks then solved by essentially different heuristic methods. and graphs, Marcel Dekker, New York, New York, 1978. 1. S. Lin, Computer solutions of the travelling salesman problem, Bell System Tech. J. 44 (10), pp. 2245- 2269, Maximum Flowe in Networks (Frances Yao). Many December 1965. combinatorial optimization problems can be reduced 2. S. Lin and B. W. Kernighan, An effective heuristic to the problem of finding a maximum flow through a algorithm for the travelling salesman problem, Oper. Res. network. The relation to linear programming and the 21, pp. 498-516, March-April 1973. max-flow min-cut theorem will be presented. Starting 3. B. W. Kernighan and S. Lin, Heuristic solution of with the first algorithm by Ford and Fulkerson, the a signal design optimization problem, Bell System Tech. evolution of maximum flow algorithms over the last J. 52 (7), pp. 1145- 1159, September 1973. twenty years will be discussed. In particular, recently Lin, Heuristic programming as an aid to network developed data structures and algorithms that work 4. S. efficiently for sparse networks will be presented. design, Networks 5, No. 1, pp. 33-45, January 1975. 5. V. Klee, Combinatorial optimization: What i8 the 1. L. R. Ford and D. R. Fulkerson, Flows in networks, state of the art, Math. Oper. Res. 5, No. 1, February Princeton University Press, Princeton, New Jersey, 1980. 1962. 2. E. L. Lawler, Combinatorial optimization: Networks 6. M. R. Garey and D. S. Johnson, Computers and and matroids, Holt, Rinehart, and Winston, New York, intractability: A guide to the theory of NP-completeness, New York, 1976. W. H. Freeman, San Francisco, California, 1979.

The Computational Complexity of Network The Mathematiee of Networks (Daniel J. Kleitman). Problema (Richard M. Karp). The concepts of poly­ We will consider problems of the bus and truck routing nomial-time computability and NP-completeness have variety. In these, various pickup or delivery require­ become fundamental tools for classifying network ments are to be handled so as to minimize transpor­ problems according to their complexity. When a tation costs. A number of methods for tackling such problem is NP-complete, no method is guaranteed to problems will be described. produce exact solutions efficiently, and approximate A brief discussion of the interrelation of electric cir­ solution methods must be sought. Such approximate cuit theory with graph theory will also be attempted. methods are evaluated according to their worst-case performance, or according to their average perfor­ Switching Networks (Nicholas Pippenger). A mance on examples drawn from a probability sample switching network is a collection of switching ele­ space. Enumeration problems can also be classified ments interconnected to form a system capable of es­ according to their complexity. For example, the prob­ lem of counting the matchings of a bipartite graph is tablishing various combinations of paths over which as hard as any enumeration problem in a large class. simultaneous independent communications can take The various complexity-theoretic approaches will be place. Attention will be focused on the problem explained in detail and applied to a number of specific of constructing a particular type of switching net­ network problems. work - called a nonblocking network -with a mini­ mum number of switching elements. Solutions to this 1. M. R. Garey and D. S. Johnson, Computers and intractability- A guide to the theory of NP-completeness, problem employing combinatorics, probability theory W. H. Freeman, San Francisco, California, 1979. and harmonic analysis will be presented. 1. V. E. Benefi, Mathematical theory of connecting Etreetive Uee of Heuristic Algorithms in Network networks and telephone traffic, Academic Press, 1965, Design (Shen Lin). In the field of network design, one Chapters 1-4.

248 Mathematical Surveys Recent volumes in this distinguished series APPROXIMATION BY POLYNOMIALS WITH INTEGRAL COEFFICIENTS LeBaron 0. Ferguson Results in the approximation of functions by portant applications to other areas of mathe­ polynomials with coefficients which are integers matics; for example, in the simulation of have been appearing since that of Pal in 1914. transcendental functions on computers. In most The body of results has grown to an extent computers, fixed point arithmetic is faster than which seems to justify the present book. The in­ floating point arithmetic and it may be possible tention here is to make these results as acces­ to take advantage of this fact in the evaluation sible as possible. of integral polynomials to create more efficient The book addresses essentially two questions. simulations. Another promising area for applica­ The first is the question of what functions can be tions of this research is in the design of digital fil­ approximated by polynomials whose coeffi­ ters. A central step in the design procedure is the cients are integers and the second question is approximation of a desired system function by a how well are they approximated (Jackson type polynomial or rational function. Since only theorems). For example, a continuous function f finitely many binary digits of accuracy actually on the interval -1, 1 can be uniformly approxi­ can be realized for the coefficients of these func­ mated by polynomials with integral coefficients tions in any real filter, the problem amounts (to if and only if it takes on integral values at -1, 0 within a scale factor) to approximation by poly­ and+ 1 and the quantity f(1) + f(O) is divisible by nomials or rational functions with integral coef­ 2. The results regarding the second question are ficients. very similar to the corresponding results re­ This book should make the task of finding out garding approximation by polynomials with arbi­ what is known in this field significantly easier as trary coefficients. In particular, nonuniform esti­ it presents an introduction to most of the known mates in terms of the modulus of continuity of results in the area of approximation by polyno­ the approximated function are obtained. mials with integral coefficients and pointers to Aside from the intrinsic interest to the pure the literature for the rest. It is accessible to stu­ mathematician, there is the likelihood of im- dents at the graduate level and above.

Volume 17, vi + 160 p;oaes, 1980, h;ord cover. list price 525.60; institution;ol member $19.20; individu;ol member 512.80. To order, please specify SURVI17N SYMPLECTIC GROUPS 0. T. O'Meara

This volume, the sequel to the author's Lec­ new geometric approach used in the book is in­ tures on Linear groups, is the definitive work on strumental in extending the theory from sub­ the isomorphism theory of symplectic groups groups of PSpn(n

Volume 16, 128 p;oaes, 1978, h;ord cover. list 522.80; institution;ol member $17.10; individu;ol member 511.40 To order, ple;ose specify SURV/16N

Prepayment is required for aii.American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box1571, Annex Station, Providence, Rl 02901

249 1981 AMS ELECTIONS

Nominations for Vice-President or Member-at-Large

Two positions of vice-president and member of dictate uniquely, append the member code, which the Council ex officio for a term of two years are to may be obtained from the candidate's mailing label be filled in the election of 1981. The Council in­ or the Providence office. tends to nominate four candidates, whose names may 3. The petition for a single candidate may con­ be expected to appear in the June issue of the sist of several sheets each bearing the statement of Notices, which is scheduled to be mailed by the the petition, including the name of the position, and printer on May 21. Nominations by petition in the signatures. The name of the candidate must be ex­ manner described below are acceptable. actly the same on all sheets. Five positions of member-at-large of the Council 4. On the facing page is a sample form for peti­ for a term of three years are to be filled in the same tions. Copies may be obtained from the Secretary; election. The Council intends to nominate seven however, petitioners may make and use photocopies candidates, whose names may be expected to appear or reasonable facsimiles. in the June Notices. Nominations by petition in the 5. A signature is valid when it is clearly that of manner described below are acceptable. The Council the member whose name and address is given in the has stated its intent to have at least ten candidates left-hand column. At least 50 valid signatures are and will bring the number up to ten if the nomina­ required for a petition to be considered further. tions by petition do not do so. 6. The signature may be in the style chosen by Petitions are presented to the Council, which, the signer. However, the printed name and address according to Section 2 of Article VII of the bylaws, will be checked against the Combined Membership makes the nominations. The Council of 23 January List and the mailing lists. No attempt will be made 1979 stated its intent of nominating all persons on to match variants of names with the form of name whose behalf there were valid petitions. in the CML. A name neither in the CML nor on the A petition in aid of a candidate for the position mailing lists is not that of a member. {Example: The of vice-president or of member-at-large of the Council name Everett Pitcher is that of a member. The name is valid if it conforms to several rules and operational E. Pitcher appears not to be. Note that the current considerations, as follows: mailing label of the Notices can be peeled off and affixed to the petition as a convenient way of pre­ 1. To be considered, petitions must be addressed senting the printed name correctly.) Providence, to Everett Pitcher, Secretary, Box 6248, 7. When a petition meeting these various re­ Rhode Island 02940, and must arrive by July 10, quirements appears, the Secretary will ask the candi­ 1981. date whether he is willing to have his name on the 2. The name of the candidate must be given as ballot. His assent is the only other condition for it appears in the Combined Membership List. If the presentation of the petition to the Council. Peti­ name does not appear in the list, as in the case of a tioners can facilitate the procedure by accompanying new member or by error, it must be as it appears in the petitions with a signed statement from the can­ the mailing lists, for example on the mailing label of didate giving his consent. the Notices. If the name does not identify the can-

250 NOMINATION PETITION FOR 1981 ELECTION The undersigned members of the American Mathematical Society propose the name of as a candidate for the position of (specify "vice-president" or "member-at-large of the Council") of the American Mathematical Society for a term beginning January 1, 1982.

Name and Address (printed or typed, or Notices mailing label)

Signature

Signature

Signature

Signature

Signature

Signature

Signature

251 The Nominating Committee for 1982

The Council has approved the continuation of 3. The petition for a single candidate may con­ the procedure of filling places on the Nominating sist of several sheets each bearing the statement of Committee by election. There will be four continu­ the petition, including the name of the position, and ing members of the Nominating Committee, namely signatures. The name of the candidate must be ex­ actly the same on all sheets. Ronald G. Douglas 4. On the facing page is a sample form for peti­ Reuben Hersh tions. Copies may be obtained from the Secretary; Ivan Niven however, petitioners may make and use photocopies Guido Weiss or reasonable facsimiles. There will be four places filled by election in a pref­ 5. A signature is valid when it is clearly that of erential ballot. The President will name six candi­ the member whose name and address is given in the dates for these four places. The names may be ex­ left-hand column. At least 100 valid signatures are pected to appear in the june issue of the Notices. required for a petition to be considered further. Nominations by petition, in the manner described 6. The signature may be in the style chosen by below, will be accepted. Should the final number of the signer. However, the printed name and address candidates be less than eight, the President will bring will be checked against the Combined Membership it up to eight. List and the mailing lists. No attempt will be made The name of a candidate for member of the to match variants of names with the form of name Nominating Committee may be placed on the ballot in the CML. A name neither in the CML nor on the by a petition that conforms to several rules and mailing lists is not that of a member. (Example: The operational considerations, as follows: name Everett Pitcher is that of a member. The name E. Pitcher appears not to be. Note that the mailing 1. To be considered, petitions must be addressed label of the Notices can be peeled off and affixed to to Everett Pitcher, Secretary, Box 6248, Providence, the petition as a convenient way of presenting the Rhode Island 02940, and must arrive by ) uly 1 0, printed name correctly.) 1981. When a petition meeting these various re­ 2. The name of the candidate must be given as 7. quirements appears, the Secretary will ask the candi­ it appears in the Combined Membership List. If the date whether he is willing to have his name on the name does not appear in the list, as in the case of a ballot. His assent is the only other condition of new member or by error, it must be as it appears in placing it there. Petitioners can facilitate the proce­ the mailing lists, for example on the mailing label of dure by accompanying the petitions with a signed the Notices. If the name does not identify the can­ statement from the candidate giving his consent. didate uniquely, append the member code, which may be obtained from the candidate's mailing label or the Providence office.

252 NOMINATION PETITION FOR 1981 ELECTION {Nominating Committees of 1982, 1983) The undersigned members of the American Mathematical Society propose the name of

••••••••• 0 ••• 0 ••• 0 ••••• 0 •••• 0 •••••••••••••• 0 ••• 0 ••• 0 •••••••••••••••••• 0 •••• as a candidate for the position of Member of the Nominating Committee of the American Mathematical Society for the years 1982 and 1983.

Name and Address (printed or typed, or Notices mailing label)

Signature

Signature

Signature

Signature

Signature

Signature

Signature

253 CASE STUDIES Mathematicians with Nonacademic Employment

Nearly seven years ago the Society's Committee on Employment and Educational Policy (CEEP) initiated a series of "case studies" prepared by mathematical scientists with nonacademic or "nontraditional" employ­ ment (nontraditional in the sense that it was neither academic teaching or research, nor in one of the tradi­ tional technical areas of industrial research and development). The most recent report in this series was pub­ lished in the June 1980 Notices, pages 354-356. Mathematicians interested in participating in this project either by preparing a case study of their own, or by proposing others as potential au~hors of such studies, are asked to notify Professor Barnet M. Weinstock (chairman of the Employment Concerns Subcommittee of CEEP), Department of Mathematics, University of North Carolina, Charlotte, North Carolina 28223, telephoP..e 704-597-2175.

Israel Zibman I am doing more mathematics here at TRW than I Systems Group of TRW, Inc. had anticipated. Once, trying to solve a problem led me to formulate a theorem that could be considered My decision to leave academe for a position as a part of pure mathematics. More often, I am expected communications systems analyst at TRW was made to use mathematics from most fields of analysis, al­ out of choice, not necessity. At the time I left I felt gebra and combinatorics to solve problems in sig­ that problems in communications analysis and signal nal detection, estimation, synchronization, coding and processing offered more opportunities for growth as a data compression. The challenge is to stay on top of mathematician. My experience over the last two years the mathematics and the applications. Rarely is the has convinced me that my decision was a good one. full sophistication of published methods useful in solv­ My education in mathematics followed the modern ing these problems. The insight behind these methods pattern in pure mathematics. I developed a good is always useful. understanding of linear algebra, commutative al­ gebra, various approaches to geometry and functional Although digital signal processing is a relatively analysis. I was rarely expected to solve more than small part of my department's business, much of my one numerical problem of any given type. From my work here is in this field. In particular, many of my current perspective I feel that this approach was ap­ assignments are in what may be called source cod­ propriate. With the right background, the applica­ ing problems; I try to realize results promised by tions are easy to learn. In fact, one can better ap­ Shannon's rate distortion theory. The objective is to preciate the mathematics used in applications after squeeze the redundancy out of speech and image data seeing a wide range of "pure" mathematics. In 1976 so that a description of the speech or image may be I received my Ph.D. from Princeton for research in efficiently transmitted and stored. The Fourier trans­ classical harmonic analysis. form and some related transforms are very useful for While a research instructor, I was led to investigate removing statistical correlations among sample points. the connections between Fourier series and stochastic My work involves understaa.ding models and trans­ processes. Eventually, I saw how much of these fields forms sufficiently well so that I can specify algorithms are being used in communications analysis. Further which are efficient and co:nputationally feasible. I fre­ study into filtering, information theory and control quently work in implem~nting and testing these algo­ theory convinced me that communications and sig­ rithms so I get immediate feedback. Because I un­ nal analysis is a good field for a mathematician. I derstand algorithms, I /l.m also asked for advice on chose to enter the field at the industrial level. This is studies of new comp'U.,_ architectures for hardware where one bumps right up against the limitations of which must carry out j.larticular types of computations current mathematical techniques, but is still required rapidly. to produce solutions. Most of my colleagues have advanced degrees in By this time I had sufficient knowledge of what I electrical engineering and have well-developed analyti­ wanted to do to apply for interviews. Friends provided cal skills. Developments in this field have tradition­ me with names of people in industry who are in a ally been carried out by such people. However, the position to hire into their departments. This approach current mathematical techniques are rapidly reaching is probably essential for one whose resume does not limits of usefulness for solving practical problems. For show directly applicable experience. I prepared for example, image processing requires two- and three­ the interviews by reading some literature on current dimensional Fourier analysis. Currently, only simple activity in digital signal processing. In my interviews extensions of one-dimensional theory are being used. I could show an informed interest in the work being I can see future applicability of techniques using Riesz done at the organization. It also helped that I had transforms and the modern theory of several complex worked with computers during summers and part-time variables (especially for multidimensional filtering). A as an undergraduate. mathematician has a chance to influence his own field

254 while making progress towards solving practical prob­ for more ingenious solutions in hardware and mathe­ lems. matics. It is necessary to enjoy working in all areas of math­ ematics. Applying Shannon's channel coding theory In conclusion, work in communications analysis has means learning algebraic coding theory. Mathematical given me a new perspective on mathematics. The field statistics is needed for almost all problems. Solving offers the opportunity to develop one's mathematical phase locked loops problems requires nonlinear analy­ intuition by seeing worked out problems in a natural sis and stochastic differential equations setting. After completing a traditional undergraduate This work also requires a willingness to understand and graduate program in pure mathematics, a math­ traditional electrical engineering problems concern­ ematician should pause to survey the problems and ing capabilities and limitations of hardware. These possibilities in the applications. Such a survey may hardware limitations frequently constrain the types of influence the devlopment of mathematics both within algorithms which may be applied and force a search and outside academe.

QUERIES Edited by Hans Samelson QUESTIONS 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 be edited, when appropriate, into a composite answer and published in a subsequent column. All answers re­ ceived will ultimately be forwarded to the questioner.

QUERIES AND RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical So­ ciety, P.O. Box 6248, Providence, Rhode Island 02940.

QUERIES is equivalent to the Boolean prime ideal theorem (cf. Y. Rav, Math. Nachr. 79 (1977), 145--165; 238. John Thorne (22W 354 Balsam Drive, Glen Corollary 4.4). (Contributed by Yehuda Rav, David Ellyn, Illinois 60137). I am interested in the appli­ E. Dobbs, Bob Mears and Wayne Raskind) cation of mathematics to the law and am already 232. (voL 28, p. 80, January 1981, Albert A. Mullin) familiar with most such applications found in judi­ Lets= I{J· a where I{J is Euler's toticnt and a the cial decisions and the legal literature. Are there ap­ sum-of-divisors function. Conjecture (C1 ): For 2k ;;;. 1, plications of mathematics to law in the mathemati­ does there exist m with f(m) = f(m + 1) = • • • = cal literature, and if so, where? f(m + k)? Answer: Nom exists fork= 3. We have f(p fi (1- ...!...) =_!_ > ~- W. Hodges (J. London Math. Soc. 19 (1979), 285- m2 p> 2 p2 11 2 4 287) has shown that the strong form of Kru II 's Now among four consecutive integers n, n + 1, Lemma-- "every ideal of R is contained in a maxi­ n + 2, n + 3, two are even. Thus one of them is of mal ideal"- implies the Axiom of Choice. On the the form 2(2m + 1) and two arc odd; hence f(n) = other hand, the weak form of Krull's Lemma­ f(n + 1) = f(n + 2) = f(n + 3) is impossible. "every ideal of R is contained in a prime ideal"-- (Contributed by Paul Erdos and E. Straus)

255 NEWS AND ANNOUNCEMENTS

the American Mathematical Society, the Institute for AMS POSTDOCTORAL Mathematical Statistics, and the Society for Industrial RESEARCH FELLOWSHIPS and Applied Mathematics, evaluated 83 applications; Two AMS Postdoctoral Research Fellowships were final selections were made by NSF. awarded in 1981. The recipients are Lawrence Man­ The Postdoctoral Fellowships provide a stipend of Hou Ein of the University of California, Berkeley, and $20,000 per year for full-time research. Mark Williams of Massachusetts Institute of Tech­ The Fellowship recipients are listed below with nology. their current affiliations in parentheses, followed by Dr. Ein plans to spend his fellowship year at the the name of the Fellowship institution: Deborah Institute for Advanced Study in Princeton, beginning Allinger (Indiana University), Massachusetts Institute in the fall of 1981. Dr. Williams will postpone his of Technology; Dale Marie Clarke (Courant Institute New York University), fellowship year to begin in the summer of 1982. of Mathematical Sciences, California Institute of Technology; David S. Dummit was estab­ The AMS Research Fellowship Fund (University of Minnesota), Harvard University; lished in 1973 in response to the need for funds for William F. Eddy (Carnegie-Mellon University), Brown postdoctoral research. The fellowships are awarded on University; James J. Faran (Princeton University), the basis of mathematical merit to recent recipients of Institute for Advanced Study; Robert Friedman Ph.D.'s (regardless of their age) who are citizens or (Harvard University), Columbia University; Patrick permanent residents of a country in North America. M. Gilmer (Louisiana State University), Institute The awards are intended to support research fellows for Advanced Study; C. Robin Graham (Princeton for a period of one year, and at present carry a University), Courant Institute of Mathematical stipend of $18,500 each, with an expense allowance Sciences, New York University; Allan T. Greenleaf of $500. The competition was under the supervi­ (Princeton University), Massachusetts Institute of sion of the Society's Committee on Postdoctoral Fel­ Technology; Ranee K. Gupta (Massachusetts Institute lowships, consisting of Benedict Gross, Robin Hart­ of Technology), Massachusetts Institute of Technology; shorne, Bernard Maskit (chairman), Paul H. Rabino­ Howard L. Hiller (Yale University), University of witz, Donald E. Sarason, and Robert I. Soare. Virginia; Craig L. Huneke (University of Michigan, There were many strong candidates among the Ann Arbor), Brandeis University; William B. Jacob Angeles), University of sixty-six applicants. The number of fellowships (University of California, Los California, Berkeley; Jeffry N. Kahn (Massachusetts awarded is the maximum allowed by the generous Institute of Technology), Massachusetts Institute of of supporters of mathematical research contributions Technology; William L. Kath (California Institute according together with Society funds appropriated of Technology), California Institute of Technology; to a matching formula. The continuation of the Kenneth L. Manders (University of Pittsburgh), Yale AMS Research Fellowship program depends on con­ University; William A. Massey (Stanford University), tributions the Society receives. It is hoped that Courant Institute of Mathematical Sciences, New every member of the Society will contribute to the York University; Richard P. Morton (California Fund. Contributions are, of course, tax deducti­ Institute of Technology), Harvard University; Peter ble. Checks should be made payable to the American A. Perry (California Institute of Technology), Stan­ Mathematical Society, clearly marked "AMS Research ford University; Karl C. Rubin (Harvard Uni­ Fellowship Fund" and sent to the American Mathe­ versity), Princeton University; Roger S. Schlafly matical Society, Post Office Box 1571, Annex Station, (University of Chicago), University of Chicago; Providence, Rhode Island 02901. Theodore Slaman (Harvard University), University of Chicago; John D. Smillie (Institute for Advanced NSF MATHEMATICAL SCIENCES Study), University of California, Berkeley; Robert POSTDOCTORAL RESEARCH Vanderbei (Cornell University), Courant Institute of FELLOWSHIPS ANNOUNCED Mathematical Sciences, New York University; Brian Twenty-six recent recipients of doctoral degrees in C. White (Princeton University), Courant Institute mathematics have been awarded fellowships designed of Mathematical Sciences, New York University; Institute of to contribute to the future vitality of the nation's and Mark Williams (Massachusetts Technology), Rice University. scientific effort. The awards are made under the National Science Foundation's (NSF) Mathematical NSF AND NATO Sciences Postdoctoral Research Fellowship program, POSTDOCTORAL FELLOWSHIPS now in its third year. They will permit recipients to Postdoctoral fellowships have been offered to 106 choose research environments that will have maximal American scientists by the National Science Foun­ benefit to their scientific development. dation under two programs. Fifty are NSF Post­ The awards are made to US citizens or nationals. doctoral Fellowships, and fifty-six are North Atlan­ Selections are made on the basis of ability of the ap­ tic Treaty Organization (NATO) Postdoctoral Fellow­ plicant and the likely improvement on his or her fu­ ships in Science. Three of these awards are in the ture in science. A panel of mathematicians, chosen by mathematical sciences.

256 Two NSF Postdoctoral Fellowships were given of distinction published in recent years are Topics to mathematicians: Jeffry N. Kahn (Massachusetts in operator theory with papers by Arlen Brown, R. Institute of Technology) for research at the Massa­ G. Douglas, Carl Pearcy, Donald Sarason, and Allen chusetts Institute of Technology, and Karl C. Rubin Shields (first published in 1974 and reprinted with an (Harvard University) for research at Princeton Uni­ addendum in 1979, this book still enjoys respectable versity. The NATO award was made to Kenneth L. annual sales); Vector measures by J. Diestel and J. J.· Manders (University of Pittsburgh, Pittsburgh) for re­ Uhl, Jr., (published in 1977, sold out and reprinted search at the Mathematics Institute of the University in less than two years); and Symplectic groups by 0. of Oxford, England. Timothy O'Meara (published in 1978 and a candidate Competition for the annual fellowships is open to for reprinting within the next year or so). US citizens or nationals who have shown talent and There are several significant advantages an author interest in research and who received their doctoral obtains when publishing a book in this series. degrees within the past five years. The selection of AMS prices are low when compared to those of candidates is made on the basis of merit; applications many other publishers of _advanced mathematics. are evaluated by panels of scientists who are experts With a fifty percent discount to individual mem­ in the appropriate specialized fields. bers, sales are large and dissemination is broad. Both the NSF Postdoctoral Fellowships Program A royalty of 15 percent of the list price is paid to and the NATO Postdoctoral Fellowships Programs the author - higher than usually obtainable. are designed to advance science and technology. The NATO fellowships are also intended to promote closer AMS books are not allowed to go out of collaboration among the alliance members and as­ print- Surveys from 1950 and 1951 were reprinted sociated countries. Each NATO country administers in 1980, one of them for the fourth time. the program for its own nationals. At the request of Books are publicized at AMS meetings and in the the Department of State, the NSF administers this AMS Notices and in "flyers" year after year, not NATO-funded program for the United States. just when they are newly published. This tends The NSF Postdoctoral Fellowships provide a to keep them in the public view. a month for up to one year of full­ stipend of $1,150 The author is assured of an immediate sale of study or research. An institutional time equivalent about 450 in standing orders to libraries. allowance of up to $1,200 is also provided for educa­ tion and research for those attending US institutions Authors who have manuscripts completed, in of higher education. progress, or contemplated, that meet the requirements The NATO Postdoctoral Fellowships provide a for this series, are asked to consider publication by the stipend of $1,150 a month for up to one year. AMS. Dependency allowances and limited allowance for The Editorial Committee for Mathematical Surveys round-trip travel are also provided. is Jane Cronin Scanlon, Department of Mathematics, Rutgers University, New Brunswick, NJ 08903 (chair); D. R. FULKERSON LECTURE SERIES Donald W. Anderson, Department of Mathematics, The School of Operations Research and Industrial University of California, San Diego, La Jolla, Engineering at Cornell University has announced the CA 92093; and James Milgram, Department of establishment of an annual lecture series in honor of Mathematics, Stanford University, Stanford, CA the late Delbert Ray Fulkerson. Fulkerson, a leading 94305. was figure in network flow theory and combinatorics, SIXTH ANNUAL AAAS COLLOQUIDM Maxwell Upson Professor of Engineering at Cornell ON R&D AND PUBLIC POLICY from 1971 until his death in 1976. The Fulkerson fare in the new Lectures will feature distinguished speakers in all How will research and development This topic areas of operations research. The first Fulkerson administration and in the 97th Congress? on Lectures will be given by George B. Dantzig, Criley will be explored in the Sixth Annual Colloquium of the Professor of Transportation in Operations Research Research and Development and Public Policy and Computer Science at Stanford University on May American Association for the Advancement of Science 7 and 8, 1981. The titles of Professor Dantzig's lec­ (AAAS). The Colloquium will be held in Washington, tures are Origins of linear programming; Energy/economic D.C. on June 25 and 26, 1981. modela and large-scale methods; and Expected number of Leaders from the Executive branch, the Congress, steps of the simplex method. federal agencies, industry, and the scientific and en­ gineering communities will discuss emerging policies AMS MATHEMATICAL SURVEYS of the Reagan administration, congressional response The Society is interested in publishing additional to the President's recommendations, defense R & D, volumes in this distinguished series at a more rapid and other issues relating to R&D and public policy. rate than in the past. Research and Development: AAAS Report VI by Willis These monographs have been published to present H. Shapley, Albert H. Teich, and Gail J. Breslow will careful expositions in fields of current interest in re­ include an analysis of R & D in the Carter and Reagan search. Each is designed to give a survey of the budgets for fiscal year 1982, a discussion of issues in subject and a brief introduction to recent develop­ the defense R&D budget, R&D in industry, and a ments and unsolved problems. Some of the volumes review of the federal budget process as it relates to

257 R & D. The report will be available to registrants in of Scholars, Attention: Near East/South Asia Short­ advance of the Colloquium. Term Program, Eleven Dupont Circle, Washington, For further information write to the AAAS Office of DC 20036; telephone 202-833-4981. Applications are Public Sector Programs, 1776 Massachusetts Avenue, due by July 1, 1981. N.W., Washington, DC 20036. FULBRIGHT SCHOLARS TO LECTURE ADVANCED RESEARCH FELLOWSHIPS IN SOVIET LANGUAGES INDIA, 1982-1983 Academic institutions in the USSR wish to spon­ Twelve long-term (six to ten months) and nine sor American lecturers, in any field, who can teach in short-term (two to three months) research awards, languages of the constituent republics. Nominations without restriction as to field, are offered for 1982- for 1981-1982 have already been made, but scholars 1983 by the Indo-US Subcommission on Education who wish to teach in the Soviet Union in 1982-1983 and Culture. Applicants must be US citizens at the and who are proficient in one of the following lan­ postdoctoral or equivalent professional level. The fel­ guages are invited to express that interest at an early lowship program seeks to open new channels of com­ date: Armenian, Azerbaijani, Estonian, Georgian, munication between academic and professional groups Latvian, Lithuanian, Russian, or any of the Central in the United States and India and to encourage Asian languages. For further information, write or a wider range of research activity between the two call W. A. James, Council for International Exchange countries than has previously existed. Therefore, of Scholars, Eleven Dupont Circle, Washington, DC scholars and professionals who have limited or no ex­ 20036 (202-833-4990). perience in India are especially encouraged to apply. Fellowship terms include: $1,000-$1,500 per month, depending on academic/professional achieve­ ment and seniority, S350 per month payable in dollars and the balance in rupees; an allowance for books and study/travel in India; and international travel for the grantee. In addition, long-term Fellows receive inter­ national travel for dependents; a dependent allowance of $100- $250 per month in rupees; and a supplemen­ tary research allowance up to 34,000 rupees. The application deadline is July 1, 1981. Appli­ cation forms and further information are available from the Council for International Exchange of Scholars, Attention: Indo-American Fellowship Pro­ gram, Eleven Dupont Circle, Washington, DC 20036; telephone 202-833-4978.

SHORT-TERM LECTURESHIPS IN 1982 IN NEAR EAST /SOUTH ASIA Policy on Letters to Editor Ten awards of six weeks to four months, beginning between February 1982 Readers who wish to respond to letters published in and September 1982 (but dur­ this issue are urged to do so before June 20. Responses ing a regular academic term of the host country), are received by that date may be edited to reduce repetition offered without restrictions as to field to enable es­ and will be considered for publication in the October 1981 tablished American professionals and members of col­ issue. Letters submitted for publication in the Notices are lege and university faculties to teach in one or more reviewed by the Editorial Committee, whose task is to Near Eastern and South Asian countries. Grantees are determine which ones are suitable for publication. The expected to carry out a substantive teaching and/or publication schedule requires from two to four months consulting program in the country of assignment. between receipt of the letter in Providence and publica­ tion of the earliest issue of the Notices in which it could Applicants must be US citizens and have postdoctoral appear. college or university teaching experience or have es­ Publication decisions are ultimately made by majority tablished professional reputations. vote of the Editorial Committee, with ample provision for prior discussion by committee members, by mail or Grant terms include round trip economy class air at meetings. Because of this discussion period, some let,. travel for the grantee and a per diem of $75 plus a ters may require as much as seven months before a final temporary living allowance, the total not to exceed decision is made. $125 per day. Participating countries have not yet The committee reserves the right to edit letters. The Notices does not ordinarily publish complaints been determined, but the following countries have about reviews of books or articles, although rebuttals and been included in previous years: Algeria, Bangladesh, correspondence concerning reviews in the Bulletin of the Egypt, Jordan, Lebanon, Morocco, Nepal, Pakistan, American Mathematical Society will be considered for pub­ lication. "Sri Lanka, Saudi Arabia, Sudan, Syria, Tunisia, Letters should be mailed to the Editor of the Notices, Yemen. American Mathematical Society, Post Office Box 6248, Additional information and application forms are Providence, Rhode Island 02940, and will be acknowl­ available from the Council for International Exchange edged on receipt.

258 LETTERS TO THE EDITOR

Soviet Mathematicians astronomical, even for minicomputers. All the West At the January meeting in San Francisco there Bank universities are private and get no support from was considerable informal discussion concerning the taxes; Bethlehem is Vatican-operated while the other difficulties encountered by some Soviet mathemati­ two are non-sectarian. cians in publishing their research in their own coun­ The universities are periodically shut down by the try. For instance, the information provided on page military authorities on the slightest pretext- or on 8 of the January 1981 Notices shows that Soviet Jew­ no pretext at all; at other times the students are ish mathematicians have a narrower range of options frightened off by the presence of troops or by the than do their non-Jewish colleagues. Even more dras­ military government-enunciated policy of collective tic is the total inability of many "refuseniks" to pub­ punishment- the random arrest of students as they lish in the Soviet Union. (Refuseniks are those who leave the campus- not to mention the shooting of have been refused permission to emigrate. Many student demonstrators. Recruiting of faculty is made of them have lost their jobs and are not permitted difficult by the arbitrary and capricious denial of work to publish.) As an editor of the Proceedings of the permits to those not presently resident in the Occupied American Mathematical Society I would welcome more Territories, even if they were born there, and the ar­ manuscripts from Soviet mathematicians, as would rest and/or expulsion of residents. Although very numerous other editors with whom I have talked. All little is known of this harassment outside the West of them shared my willingness to give extra assistance Bank, there is a group of faculty members at Hebrew in matters of English grammar and in making minor University in Jerusalem who are organizing protests changes suggested by referees, in order to avoid exces­ against the present policy of their government with sive postal delays. Throughout these conversations, of respect to the West Bank universities. course, it was emphasized that such papers would be In spite of all difficulties, mathematics is being done. subject to the usual high standards for acceptance as At the San Francisco meeting a young topologist from described on the inside cover of the Proceedings. Birzeit, Marwan Awartani, presented a paper; his col­ Robert R. Phelps leagues are working in complex analysis and in group University of Washington theory. The dean of the School of Science at Birzeit P.S. It would be interesting to know whether these is a physicist who works in number theory as his views are shared by members of other editorial boards. hobby. However, the Palestinians in the West Bank are isolated mathematically; they need contact with Palestinian Mathematicians the international mathematical community. There are Few mathematicians know of the existence of the several things we can do: Palestinian universities in the Israeli-occupied ter­ {1) Assist in obtaining qualified faculty members. ritory of the West Bank; fewer still know that their This is made very difficult by the day-to-day nature colleagues there are engaged in mathematical research of existence there, where faculty members are allowed under very difficult conditions. Although thE: AMS to teach on sufferance by the military authorities. Committee on Human Rights of Mathematicians was However, faculty members on sabbaticals or retired involved in the release of a West Bank mathematician might want to consider teaching there for a semester from four years' detention in prison without any or a year. Their need is relatively short-term as the charge being brought, I knew little of conditions there universities have been sending their own people abroad until my recent visit. for advanced training and many will return in a few Al-Najah, Bethlehem and Birzeit Universities have years. Helping to build a people's mathematics educa­ recently been brought under even tighter restraints tion and research can be an exciting prospect. The by the occupying military government, which exer­ language of instruction in mathematics is English at cises control over faculty appointments, admission and all the universities. retention of students, curriculum and equipment and {2) Improve mathematical communication. Mathe­ books. Fortunately mathematics has suffered less than maticians in Israel on a short- or long-term basis can some disciplines; for example, physicists experience easily visit the West Bank universities; the borders are difficulty getting even low-level radiation sources for open. There is currently little exchange between Israel classroom demonstrations, and recently permission proper and the Occupied Territory; the Palestinian to import any books with "nuclear physics" in the institutions would welcome more. title was denied. In general we mathematicians need only chalk, not the instructional equipment on which {3) Send books or journals. the Palestinian universities, unlike Israeli universities, ( 4) Offer opportunities for graduate study to faculty must pay ruinously high Israeli taxes if they can get it and students at the West Bank universities. Many at all. Birzeit University, however, is planning a pro­ faculty members are on leave, currently working on gram in computer science, but the start-up costs are Ph.D.'s in the US. The overwhelming majority of

259 the mathematics faculty are US-trained; while US cost of extra paperwork {$1,000 per month for the policy may not be very supportive, the legacy of department), and endorsing the NAS resolution and resentment against the British for their actions dur­ the recommendations of the National Commission ing the Mandate period {1919-1948), together with the on Research (3]. They called for "the immediate presence of a substantial Palestinian community in the suspension of the current effort reporting provisions US, has resulted in a preference for study in the US. of the revised Circular A-21, pending further revi­ Addre.sses for the institutions: sion in line with the Commission's recommenda­ Department of Mathematics, Birzeit University, Birzeit, VIA Israel; tions"; and they further resolved "that this resolu­ Department of Mathematics, Al-Najah University, tion shall be submitted to the Academic Senate which Nablus, VIA Israel; is urged to adopt a similar resolution and trans­ Department of Mathematics, Bethlehem University, mit it to responsible officials of the University and Bethlehem, VIA Israel. the Federal Government." The Chairman of this Mary Gray Chemistry Department also wrote me after meetings American University with a representative of AAU (Association of American Universities) that it was the faculty's impression that Time and Effort Report• AAU is attempting to "compromise" on this issue, I urge readers of the Notices to study the attached while he believed victory was in sight. It is therefore excerpts from the Goode Task Force Report of 1968. important to keep up grass roots faculty pressure. This selection includes the conclusions and recommen­ Support for my mailings has also come from some dations, as well as parts describing faculty response university administrators directly. The Vice President and administration response to "reporting." I think it is important for the academic community to know for Advanced Studies at Notre Dame (also profes­ precisely and extensively what is in that report, so sor of biology) wrote to inform me of President that it can judge for itself the extent to which it Hesburgh's activities against the reporting require­ wants to ask for a return to its recommendations. I ments of A-21. The Yale math department has paid also urge the academic community to read the article $2,500 since last fall for the mailings, postage, and by Yale's President Giamatti, reprinted in Science [1] xeroxing, and received total financial contributions of from a speech to alumni (2], where he states: "Never 11,600, including $150 from the Institute for Advanced have I seen the lash of federal regulation applied to Study, $150 from the chairman of faculty at Caltech, a crucial area of the nation's intellectual life with and 1100 from CUNY (in behalf of the President, such seeming indifference to financial and human con­ sequences. Science is at the core of the university's Administration and Faculty). I hope that others can mission. Whatever strikes at that core cuts at the contribute to these mailings, which have apparently heart of the university." The Harvard Faculty of Arts filled an important informative function for many and Sciences Committee on Research Policy wrote to people (make checks payable to Yale Mathematics Giamatti to endorse his views; and Paul Olum, acting Department.) I have just put Vice President Bush president of the University of Oregon, told me: "It is on the mailing list, since he was recently appointed first rate and is really the best I have seen on that to chair a task force on deregulation. Write your ob­ subject." jections against A-21 directly to him, and to David My letter to the Notices (October 1980) and mail­ Stockman, the new Director of OMB, as well as to ings of information to about 75 academic senates and 75 key people in the academic-scientific community your Congressional Delegation. have received substantial responses. The faculty S. Lang senates or councils of sixteen universities have passed Yale University resolutions objecting to the reporting requirements of Circular A-21, namely: Yale (Graduate Faculty), Caltech, Stonybrook, USC, City University of New 1. Science and the university, Science, Vol. 210, 28 York, Oregon, Hawaii, Texas at Austin, Rutgers, November 1980, pages 984-987. Connecticut, New Mexico, Utah, Washington, Kansas, South Carolina, Southern Illinois. Typical is, for in­ 2. Yale Alumni Magazine and Journal, November stance, the Caltech resolution, stating in part: "The 1980. requirements cause professors to have to draw and 3. Accountability: Reporting the quality of the parmer­ testify to artificial and meaningless distinctions be­ ship, a report from the National Commi6sion on Reaearch, tween teaching and research. They foster cynicism towards other more legitimate government concerns, Science, Vol. 207, 14 March 1980, pages 117-1182. cause tensions between professors and administrators, (The following excerpts from the 1968 Goode report include waste time and waste money. The effort reporting t a summary of the findings, conclusions and recommenda­ requirements should be rescinded again as they were tions of a task force comprised of representatives from the when better judgment prevailed in the past." The Bureau of the Budget, the General Accounting Office, the Department of Chemistry at UCLA passed unani­ Department of Defense, the National Science Foundation, mously on 4 February a resolution, pointing to the and the Department of Health, Education, and Welfare.)

260 TIME OR EFFORT REPORTING BY COLLEGES AND 3. In our contract and grant procedures, we have evolved UNIVERSITIES IN SUPPORT OF RESEARCH from an essentially contract approach with the same basic GRANTS AND CONTRACTS accounting demands for grants as for cost reimbursement contracts. We need to embrace an instrument for all SUIIliiUll')' of Findinga, Government-sponsored basic research in universities that Conduaiona, and Recommendation• will be the same, preferably neither the contract nor the Findings grant. The contract approach could still be used !or ap­ where specific end product is desired and the 1. Time or eft'ort reporting in support of salary reim­ plied research bursement under research grants and contracts was in­ research is in support of an agency's mission. augurated ten years ago when the contract was the main 4. Greater emphasis should be placed on the review, device for supporting research in universities. Since that negotiation, and monitoring of research projects instead time, the grant device has gained in use, but the proce­ of relying on the assumed, but actually fictitious, audit of dures more appropriate to contracts have been continued documents relative to professorial eft'ort. for both. 5. We should encourage better university cost account­ 2. There is practically no satisfaction with time or eft'ort ing which will support total project costs and provide a reporting as presently required, either in the academic com­ basis for both overhead and cost-sharing claims. munity or among the Government agencies principally in­ 6. Several of the task force members favor going to volved in supporting research at universities. Most agencies a uniform indirect cost or overhead rate for all institu­ consider the present requirement unrealistic, unnecessary tions, rather than the present system which is based on red tape, and as needlessly complicating Government rela­ individual negotiation at each institution. Such a system tions with universities. The academic community is vir­ would relieve the considerable red tape now required and tually unanimous in the opinion that eft'ort reporting is: which the Government pays for in the end, as well as the • Impossible to do in a meaningful way; lack of incentive for efficient administration. The present • Burdensome, taking valuable professional time away system places a premium on "who has the sharpest pen­ from the major tasks at hand; cil." It is realized, of course, that the universities would • Useless, in that it is inaccurate and bears little relation­ probably not agree with this proposal at this time. ship to truth; and Recommendations to quality research and engenders a • A dis-incentive 1. For professorial staft', drop the requirement for eft'ort cynical attitude toward Government. reports contained in the present Circular A-21. Instead, reporting of 3. The task force found that after-the-fact provide for stipulated salary support for faculty participation agrees with before-the-fact estimates. eft'ort almost always in Government-sponsored research. Proposals for funding The typical professor reports that he settles for the same would be essentially the same as at present except for the proportion of eft'ort that the research proposal contained. faculty support item. Proposed faculty support would be In the absence of a valid and reliable system for report­ expressed as a lump sum dollar amount without being re­ ing eft'ort, he settles for what will cause the least trouble. lated to an accompanying fraction of the investigator's time Moreover, the task force found from the testimony of or eft'ort and without the need for eft'ort reports to support auditors in the field that there is no way to go behind it. Approving authorities, while considering the merit of a signed eft'ort report; practically nothing can verify the the proposal and the reasonableness of its budget, would amount of eft'ort reported. also consider the value of the faculty investigator's exper­ 4. Even after going to the trouble of developing and tise to the project and his ability to perform as planned in employing a system to obtain eft'ort reports, a good number the light of his other commitments. of universities do nothing with the data reported. Only a minority of the institutions visited make prompt changes in 2. For other professional, nonprofessional, and cleri­ the actual cost records. The systems used at the univerities cal personnel, use the normal payroll distribution and vary widely. Those employed by some universities would certification to support charges for salary reimbursement. be unacceptable to the cognizant auditors serving other This would relieve the present requirement for detailed institutions. timekeeping and eft'ort reporting which often is done by 5. Review bodies and panels pay no attention to the secretaries and clerks anyway. eft'ort reporting on previous projects or to the same projects 3. To assure that expenditures for research grants and before re-funding. They are interested, instead, in the contracts are proper and in accordance with the research scientific progress made previously, the significance of the agreement documents and approved project budgets, the proposed project, the ability of the principal investigator annual fiscal reports for grants and the vouchers requesting to carry out the projected plan, and the reasonableness of payment for contracts should include a certification which the budget proposed. reads somewhat as follows: Conclusions I certify that all expenditures reported (or requested) 1. Time or eft'ort reports now required of faculty mem­ herein have been made in accordance with appropriate bers are meaningless and a waste of time. They have en­ purposes and agreements set forth in the application gendered an emotional reaction in the academic community and award documents. that will endanger university-Federal relations if relief is not provided. They foster a cynical attitude toward the In essence, the certification would be an assurance that requirements of Government and take valuable eft'ort away the research during the period involved was performed as from more important activities, not the least of which is planned or amended, with no major departures therefrom the research involved. which would require adjustments to the proposed costs. 2. We need to go to a system that does not require 4. As long as overhead costs are calculated on an in­ documentary support of faculty time devoted to Govern­ dividual institution basis, use annual surveys rather than ment-sponsored research. No real evidence of faculty eft'ort the present eft'ort reports to support claims for overhead is provided anyway under the present system, and there is rates; support claims for cost sharing with project account­ no way to prove how much eft'ort was in fact expended. ing systems.

261 5. Make the foregoing recommendations effective as research is salaries, we need documentary support for the soon as possible with respect to all newly approved salaries reimbursed. projects. Phase into the new system on projects now in General attitude of the academic community effect by amending the approval documents at the time The strength of the negative attitude varied from mild to the projects are considered for re-funding (which is usually strident opposition. The mildest reaction was encountered done annually). This will mean that within a year we can in institutions with a predominant engineering tradition be substantially converted to the new system. In the mean­ and in those which have placed the burden of effort report­ time, on current projects use the payroll distribution and ing on academic administrators rather than on the in­ certification mechanism for supporting claims for salary dividual professors. No particular group showed more reimbursement. vigorous opposition than others, even though the mathe­ Attitudes Toward Eft'ort Reporting maticians and the medical deans had been perhaps more vocal than the others before the task force made its review. There is practically no satisfaction with time or effort In actual fact, these groups are no more antagonistic in­ reporting as presently required, either in the academic com­ tellectually than many of the others. It can be said that munity or among the Government agencies principally in­ engineering schools, probably because of their being accus­ volved in supporting research at universities. Most agencies tomed to business practices and their long experience with consider the present requirement unrealistic, unnecessary defense contracting, are less inclined to object. On balance, red tape, and as needlessly complicating Government rela­ the attitude is expressed thus: "We think effort reporting tions with universities. The academic community is vir­ is meaningless and useless. It is a waste of time, but if tually unanimous in the opinion that effort reporting is: the Government sees a real need for it as a requirement •Impossible to do in a meaningful way; for funding, we will cooperate, especially if you make it as • Burdensome, taking valuable professional time away simple as possible and preferably have someone else do it." from the major tasks at hand; Academic officials such as presidents, provosts, and vice • Useless, in that it is inaccurate and bears little relation­ presidents, while reflecting their faculty attitudes, showed ship to truth; and more appreciation of Government requirements and more • A dis-incentive to quality research and engenders a willingness to abide by any reasonable reporting require­ cynical attitude toward Government. ments. Academic business officers tended to be the most Assessment of the situation sympathetic of all, and in some instances revealed a ten­ by some Government officials dency to combat suggestions to change the present system. An administrator in one of the major granting agencies Some typical academic comments summarized the problem along these lines: • "Effort reporting is a lot of administrative eyewash," Effort reporting is a challenge to the dignity of faculty said a dean of education. members. By the nature of academic work, it is difficult • A chairman of an Ivy League mathematics department to tell whether one is doing research, is teaching, or per­ said: "Suppose that senators were paid partly by their forming administrative work. Faculty members are hung States and partly by the Federal Government, with what up intellectually and emotionally over this problem because degree of accuracy and realism could they certify monthly they realize, first, that they will not get reimbursed if they the fraction of their total senatorial effort which had gone spend more time than estimated. They are unhappy about into 'national problems' as opposed to 'local problems,' "fudging" but at the same time they realize that if they attempts to get reelected, etc.?" are meticulously accurate in their estimates, the conse­ • A professor of chemistry said, "I resent the implication quences in the institution's budgeting and accounting sys­ that I must account for my time as in a factory." tem would be very serious. We in the Government abide • "It is a waste of time. I know of no instances in which by the university's management system on everything but less time was reported than originally promised," said a time or effort reporting. Further, he said, "We would be un­ physics chairman. able to run Government research programs using the same • Along the same line, a university comptroller said, requirements we place on universities." "The reported effort almost always agrees with the Another official of a major granting agency characterized projected effort. If it does not, the result usually is that the entire research grant mechanism as "built on fiction." the effort report is changed." The projects, he says, are fiction because fictional projects More on faculty reactions within a larger program are spelled out for the purpose of 1. It is impossible. Much of the faculty testimony is to getting funds in a Government funding mechanism based the effect that effort reporting is really impossible in a on projects. Government grants have become a part of meaningful way. They say, for example, that the profes­ the system of professional recognition or status for faculty sor's job is really a whole and not an aggregate of pieces. members. Their bargaining position is enhanced by the size He has two major roles-teaching and research, two sides and number of grants they are able to obtain. Universities of one coin. The professor does research to be a better say they must have full reimbursement for overhead costs, teacher. He teaches while he is doing research, and he may but the research in reality is not done for the Government be doing research while he is teaching. Examples were but for society; and the universities would do the research given of the medical professor who in performing an opera­ anyway if they could obtain the funds from other sources. tion on a patient may be conducting research while at the The proportion of time estimated in project proposals is a same time he is teaching medical students in the technique fiction because it is based on how much salary support is of the operation and is performing clinical service for the wanted and needed, rather than how much time or effort patient. Other examples were given of training grants and will be devoted. research grants applicable to the aame activity. The prob­ · A fiscal official in another Government agency which lem is to determine what proportion of the effort will be provides a sizable portion of university research funds said: charged to the training grant and what proportion to the This money is appropriated by Congress for specific pur­ research grant. poses. Both the universities and the Government agencies It became clear that the base against which percentage must account for these funds. Since a significant cost of effort is applied is not a very solid one. Certainly, it is

262 not standard nor clearly understood even by members of 4. It is a dis-incentive. Our interviewees tended to ~ee the same faculty. Does it apply, for example, to all of that effort reporting is a dis-incentive for quality research a profeBSOr's time when he could conceivably be thinking and presents the Government in a bad light. One said it of or working on professional matters, or does it pertain detracts from morale and morality. The detraction from just to the things he does for which the university pays morality he sees is the implied encour~ement to be in­ him? Does it pertain to a 40-hour week or a 5-day week? tellectually dishonest- signing computer distributions of What do we do with the one day a week of consulting time carried to the second decimal point. It engenders a time normally allowed professors? How does it apply to a cynical attitude toward the Government because of the in­ medical professor who may be spending 60 hours a week sistence, as they feel, on meaningless trivia when there are working for the university and 20 hours a week in private so many important factors to be concerned with, such as practice? the substantive objectives of the research. In the face of all of these complications, the typical Conclusion profeBSOr reports that he settles for the same proportion of Time or effort reports now required of faculty members effort that the research proposal contained. In the absence are meaningless and a waste of time. They have engendered of a valid and reliable system for reporting effort, he settles an emotional reaction in the academic community that for what will cause the least trouble. will endanger university-Federal relations if relief is not 2. It is burderuome. They say that effort reporting takes provided. They foster a cynical attitude toward the re­ valuable energy away from the research which it is intended quirements of Government and take valuable effort away to report on. Many faculty members are concerned about from more important activities, not the least of which is the increasing volume of red tape which they say is being the research involved. imposed on them by their administration. The administra­ tion, in turn, blames the Government for much of it. Some faculty members indicated a feeling that they are being Registration Fees used by their administrators as a means of getting more During the 87th Annual Meeting of the AMS in San money out of the Government for overhead charges and to Francisco's Hilton Hotel, I felt ashamed, as a member, demonstrate that they are sharing in the cost of research. to read the announcement posted in several places and 3. It is meaningless. It was generally reported that intended to intimidate mathematicians who did not faculty members report after the fact what they indicated pay the $42 registration fee that they might before the fact as the proportion of time and effort they not be would spend. Examination of time or effort files by the admitted to the sessions. task force !>ore this out. We even found instances of univer­ On the front page of the Official Program (and of sities' obtaining effort reports but not bothering to relate the Notices) there is a logo showing a symbolic picture them to p~yroll distribution records because they felt any of the Platonian Academy with the famous inscription: discrepancies would be very infrequent and minor. When we asked why it was possible to estimate proportions of ArEUMETPHTO~ MHEI~ITU effort in the original proposals but impossible to do it after which means that only non-mathematicians are ex­ the fact, ~he reply was that the before-the-fact estimates cluded. are meaningless, too. They are made with more regard Do you have any limits in decency of collecting to how much money the university needs to recoup, how money? much it needs for summer salaries, and how much it can Stefan Drobot get from granting ~encies than how much time will be Ohio State University spent in carrying out the projects. Many ~uditors reported that really there is no way to EDITOR's NoTE. The editorial committee observed go behind a signed effort report. There is practically noth­ that the Grove of Academe, where Plato's Academy ing that will verify the amount of effort actually used. flourished, was the gift of Akademos. Plato himself About all they can check is mechanical factors such as was independently wealthy and his associates were effort reported in excess of 100 percent and double charging generally men of independent means. Were meet­ for direct charges and indirect charges. ings of the AMS subsidized to that degree, it might Several interviewees said that if the purpose of the sys­ be possible to hold them without registration fees. tem is to keep people honest, it is not very effective for Other ancient schools of philosophy, such as the that because a dishonest person would find it easy to claim more effort than he actually expended, and there is really Sophists, found it necessary to charge. Members of no way to check on him. the committee call attention of the readers to (a) Many said that the important thing is the results of the report in the February 1981 issue of the Notices research, not the amount of time or effort devoted to on Registration Fees for Meetings, pages 196-198, it. Review panels are concerned with what has been ac­ and (b) the full text of the inscription (cf. R. C. complished, rather than how much time or effort was used. Archibald's A Semicentennial History of the American It seems, they said, that the Government is concentrating Mathematical Society, 1888 -1998): on the wrong thing. And as a clincher, they pointed out that the academic a-yEWJlETPf/TO<: Jlf/8Ei<: Eiairw JlOV riw UTE1'f/V setting is practically self-policing so far as research is con­ Let no one unversed in geometry enter my doors. cerned. Academicians in the first place are basically self­ impelled-they are self-starters and motivated to achieve­ A revised statement of policy regarding letters to ment. The academic system puts a premium on achieve­ the editor appears on page 258 of this issue of the ment in research~ publish or perish-as a means of ob­ taining recognition, status, promotions, and respect. If Notices. The new statement is too long to fit into anything, they say, there is a tendency to slight other this little space. academic assignments such as teaching and administration in favor of research.

263 ......

REVIEWS IN GRAPH THEORY Compiled and Edited by William G. Brown McGILL UNIVERSITY DEPARTMENT OF MATHEMATICS

This publication is a four-volume compendium of about 9,600 reviews in graph theory pub­ lished by Mathematical Reviews in Volumes 1 through 56, i.e. between 1940 and 1978 inclusive. Reviews were selected from the several sections of Mathematical Reviews which were the usual repositories of such items; from the subject lists in Mathematical Reviews indexes, where avail­ able; and through a systematic perusal of about half of all reviews published by Mathematical Reviews during the 39 years under consideration. Every review cited in a selected review was also read, and the process iterated until stable.

A classification scheme containing over 500 categories was developed for the purpose. Every review has been assigned one primary classification and, on the average, one secondary classi­ fication. Reviews are reprinted in strict chronological order of Mathematical Review numbers in their primary subject area, with a brief citation at each secondary location.

The final volume provides a detailed author index, which can serve as an effective bibliography of the subject.

These volumes are a research tool. They are directed to anyone who has occasion to consult the literature of graph theory: mathematicians, computer scientists, engineers, and management scientists, as well as students, teachers, and practicing researchers.

The potential reader requires no more background than would be required to read papers which are reviewed in the compendium. These vary from highly erudite papers in other areas of mathe­ matics where graph theory is used as a tool to solve specific problems, to elementary descrip­ tive papers which would be understandable to high school students.

A few of the reviews are themselves gems of the mathematical literature. But, for the most part, the reader will use this book as a research tool-to determine what has been done in a partic­ ular area of the subject, or to locate known papers when the values of not all parameters are available.

There has been nothing of this scope or magnitude in the subject before. This is the first major bibliography In graph theory which incorporates reviews.

The editor's previous work includes research papers in graph theory and related fields, and many reviews.

List lnst. Memb. lndiv. Memb. Student Complete set CODE: REVGRAPH N $200 $150.00 $50 $25.00 Volume 1, 604 pages REVGRA/1 68 52.50 17 8.50 Volume 2, 564 pages REVGRA/2 68 52.50 17 8.50 Volume 3, 592 pages REVGRA/3 68 52.50 17 8.50 Volume 4, 340 pages REVGRA/4 40 30.00 10 5.00

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

...... ~····"''''""'"'''"'''"'''"''''" ...... " ...... ~ ......

264 SPECIAL MEETINGS

THIS 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 So· ciety, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifics 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), deadline dates 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 are listed on the inside front cover of each issue.

1980-1981. ACADEMIC YEAR DEVOTED TO C[)IMUTATIVE AL­ ment of Mathematics, Tufts University, Medford, GEBRA AND ITS RELATIONS TO COMBINATORICS, SYZYGIES Massachusetts 02155. AND K-THEORY, The Mittag-Leffler Institute, Djurs­ holm, Sweden. (February 1980, p. 186) 10-11. SIXTH ANNUAL CONFERENCE ON UNDERGRADUATE MATHEMATICS, Hendrix College, Conway, Arkansas. September 1980-March 1981. NSF CHAUTAUQUA SHORT (January 1981, p. 91) COURSES FOR NONACADEMIC SCIENTISTS AND ENGINEERS, Polytechnic Institute of New York; Oregon Graduate 11. MIDWEST CONFERENCE ON SEVERAL COMPLEX VARI­ Center. (October 1980, p. 546) ABLES, University of Kentucky, Lexington, Kentucky. Program: Three or four speakers, including R. Bry- January 1, 1981-0ctober 10, 1981. MATHEMATISCHES ant and A. Sommese. FORSCHUNGSINSTilUT OBERWOLFACH (Weekly Confer­ Support: Partial support from NSF is available. ences), Federa1 Republic of Germany. (January 1981, Apply to w. Stoll or A. Sommese, Department of p. 89) Mathematics, University of Notre Dame, P.O. Box 398, Notre Dame, Indiana 46556. 1981-1982. ACADEMIC YEAR DEVOTED TO MATHEMATICAL Information: Michael Freeman, Department of Mathe­ PROBLEMS IN THEORETICAL PHYSICS, The Mittag-Leffler matics, University of Kentucky, Lexington, Ken­ Institute, Djursholm, Sweden. (February 1981, p. tucky 40506. 177) 21-24. SECOND SOUTHEAST ASIAN CONFE~ENCE ON MATHE­ APIUL 1981 MATICAL EDUCATION, Department of Mathematics, Uni­ versity of Malaya, Kuala Lumpur, Malaysia. (October 4-5. MINTH MIDWEST PARTIAL DIFFERENTIAL EQUATIONS 1980, p. 548) SEMINAR, Mathematical Sciences Building, Purdue University, West Lafayette, Indiana. (February 21-24. GAMM WISSENSCHAFTLICHE JAHRESTAGUNG, Wurz­ 1981, p. 178) burg, West Germany. Information: B. Brosowski, GAMM-Tagung 1981, Inst. 7-11. FINITE GEOMETRIES, Pullman, Washington. fur angew. Math. und Stat. der Univ., Am Hubland, (January 1981, p. 91) D-8700 Wurzburg, West Gennany.

8-10. ENVIRONMETRICS '81, Alexandria, Virginia. 21-30. ADVANCED COURSE ON DISTRIBUTED SYSTEMS-­ (January 1981, p. 91) ARCHITECTURE AND IMPLEMENTATION, Technical Univer­ sity, Munich, West Germany. (February 1981, p. 182) 8-10. 2e CONFERENCE INTERNATIONALE SUR LES SYSTEMES INFORMATIQUES RfPARTIS, Paris, France. (August 23-26. RECENT ADVANCES IN NON-C[)IMUTATIVE RING THE­ 1980, p. 453) ORY: A GEORGE H. HUDSON SYMPOSIUM, State University of New York, Plattsburgh, New York. (October 1980, p. 548) 9-11. EAST COAST DYNAMICAL SYSTEMS MEETING, Boston University, Boston, Massachusetts. 25. MIDWEST CONFERENCE ON FINITE GROUPS AND REPRE­ Lecturer: Alan Weinstein will speak on intersec­ SENTATION THEORY, University of Illinois, Urbana­ ~ of Lagrangian submanifolds. Champaign, Illinois. (>ebruary 1981, p. 178) Support: Some support for travel and lodging is available. 25. ILLINOIS NUMBER THEORY CONFERENCE, Illinois Information: R. Devaney, Department of Mathematics, State University, Normal, Illinois. Boston University, 264 Bay State Road, Boston, Call for Papers: Titles and short abstracts for Massachusetts 02215. 15-mi nute ta 1ks should be sent to the address be­ low by April 13, 1981. 10-11. MINICONFERENCE ON RADON TRANSFORMS AND THEIR Information: Charles Vanden Eynden, Mathematics De­ APPLICATIONS, lufts University, Medford, Massachu­ partment, Illinois State University, Normal, Il­ setts. linois 61761. Program: The conference will be concerned with the theory and applications of Radon transforms to 28-May 1. CONFERENCE ON THE MATHEMATICS OF FIN.ITE tomography, probability and other fields. ELEMENTS AND APPLICATIONS, Brunel University, Mid­ Speakers: The session on Friday will begin at 3:00 dlesex, England. (February 1981, p. 178) p.m. with an address by A. M. Cormack. The ses­ sion on Saturday will begin with an address by L. 30-May 1. TWELFTH ANNUAL PITTSBURGH CONFERENCE ON Shepp. Each session will include other speakers. MODELING AND SIMULATION, University of Pittsburgh, Information: Marjorie Hahn or Todd Quinto, Depart- Pittsburgh, Pennsylvania. (August 1980, p. 453)

265 MAY 1981 Program: Nolan R. Wallach will deliver a series of expository lectures, with emphasis on applica­ 1. THIRD NESTOR M. RIVIERE MEMORIAL LECTURE, Uni­ tions to many diverse areas of mathematics of versity of Minnesota, Minneapolis, Minnesota. representations of semi-simple Lie groups. There (February 1981, p. 178) will also be informal seminars and discussion groups. 3-13. NINETEENTH SYMPOSIUM ON FUNCTIONAL EQUATIONS, Support: Support is expected from the National Universi~ de Nantes; La Turball, France. Science Foundation. Financial support will be ~: There will be 20 sessions with interna­ provided for approximately 25 participants. ---uonal experts on such topics as functional equa- Information: Kenneth I. Gross, Conference Director, tions in a single or several variables, itera­ Office of Continuing Education, 209A Abernathy tion, functional equations on restricted domains, Hall 002A, University of North Carol ina, Chapel connections with the geometry of Banach spaces, Hill, North Carolina 27514. information theory, and so forth. Ample time will be reserved for open problems. 21-22. THIRD SYMPOSIUM ON MATHEMATICAL PROGRAfo'loi!NG Information: J. Dhombres, UER Mathematiques, Uni­ WITH DATA PERTURBATIONS, The George Washington Uni­ versite de Nantes, BP 1044, 38 boulevard Mi che­ versity, Washington, D.C. (November 1980, p. 640) let, 44037 Nantes-Cedex, France. 2 5-2 9. FIRST WORKSHOP ON CONTROL SYSTEM GE()IETRY: 8-9. CONTROL THEORY AND DYNAMICAL SYSTEMS, Brown SYSTEM IDENTIFICATION AND PARAMETER ESTIMATION, University, Providence, Rhode Island. Boston, Massachusetts. (February 1981, p. 179) Support: Partial financial assistance is expected from the National Science Foundation. ~: Zvi Artstein (Weizmann Institute); John Ball (Heriot-Watt University); Henry Hermes (Uni­ JUNE 1981 versity of Col or ado); Kenneth Meyer (University of Cincinnati); Czeslaw Olech (Polish Academy of 1-3. CONFERENCE ON NONLINEAR ANALYSIS AND APPLICA­ Sciences); Mauricio Peixoto (Institute for Pure TIONS, Memorial University of Newfoundland, St. and Applied Mathematics); David Russell (Univer­ John's, Newfoundland. (February 1981, p. 179)

sity of Wisconsin); Joel Smoller (University of / Michigan); Murray Wonham (University of Toronto). 1-5. JOURNEES DE STATISTIQUES, Nancy, France. (Feb­ Information: J. Infante, Division of Applied Mathe- ruary 1981, p. 179) matics, Brown University, Providence, Rhode Island 02912, (401) 863-2358. 1-5. ENERGY SYSTEMS, Salisbury State College, Sal­ ; sbury, Maryland. (November 1980, p. 641) 11-13. THIRTEENTH ACM SYMPOS!Lt-l ON THEORY OF COM­ PUTING, Milwaukee, Wisconsin. (October 1980, p. 1-ll. SIXTH ANNUAL INTERNATIONAL CONFERENCE IN OP­ 548) ERATOR THEORY, Timisoara and Herculane, Romania. (February 1981, p. 179) 11-15. SECOND AUSTRALASIAN MATHEMATICS CONVENTION, Sydney, Australia. (October 1980, p. 548) 1-13. INTERNATIONAL MATHEMATICAL CONFERENCE, Na­ tional University of Singapore, Republic of Singa­ 11-15. OTTO TOEPLITZ MEMORIAL CONFERENCE, Tel Aviv, pore. (February 1981, p. 179) Israel. Support: The University of Georgi a has requested 2-5. CONFERENCE IN ALGEBRA (IN HONOR OF NATHAN JA­ support from the National Science Foundation for COBSON), New Haven, Connecticut. (January 1981, p. U.S. scientists. Requested were travel funds for 91) invited participants as well as for five young mathematicians whose past and potential scien­ 7-12. CONVEGNO INTERNAZIONALE: GEOMETRIE COMBINA­ tific activities would contribute to a bilateral TORIE E LORD APPLICAZIONI, Rome, Italy. (February exchange of information at the conference. 1981, p. 179) Deadline for Application: April 20, 1981. Information and Applications: Kevin F. Clancey, 8-10. SOCIETY FOR INDUSTRIAL AND APPLIED MATHE­ Mathematics Department, University of Georgia, MATICS 1981 NATIONAL MEETING, Rensselaer Polytech­ Athens, Georgia 30602. nic Institute, Troy, New York. (February 1981, p. 179) 13-14. OPTIMIZATION DAYS 1981, Universite du Quebec a Mont rea 1 , Montrea 1 , Qw!bec, Canada. (February 8-10. CONFERENCE ON ANALYSING PROBLEM CLASSES AND 1981, p. 178) PROGRAMMING FOR PARALLEL COMPUTING, Nurnburg, Fed­ eral Republic of Germany. (October 1980, p. 548) 13-15. SYMPOSIUM ON TRANSONIC SHOCK AND MUL TIDIMEN­ SIONAL FLOWS, University of Wisconsin, Madison, 8-12. COMBINATORIAL PROBLEM-SOLVING, Salisbury Wisconsin. (February 1981, p. 178) State College, Salisbury, Maryland. (November 1980, p. 641) 14-16. MIDWEST DYNAMICAL SYSTEMS SPRING SEMINAR, University of Cincinnati, Cincinnati, Ohio. (Febru­ 9-July 3, SYMPOS!Lt-l ON CATEGORICAL ALGEBRA AND TO­ ary 1981, p. 178) POLOGY, University of Cape Town, Cape Town, South Afrlca. (November 1980, p. 641) 15-17. JOURNEES RELATIVISTES, Grenoble, France. Organizers: J. Helmstetter, J. Klein, J.-L. Koszul. 10-12. SIAM CONFERENCE ON THE APPLICATIONS OF DIS­ Information: J. Klein, Inst. Fourier, B.P. 116, CRETE MATHEMATICS, Rensselaer Polytechnic Insti­ 38402 Saint Martin D'Heres, Cedex, France. tute, Troy, New York. (February 1981, p. 179)

16-23. INTERNATIONAL CONFERENCE ON FUNCTIONAL-DIF­ 10-18. C.!.M.E.: KINETIC THEORIES AND BOLTZMAN FERENTIAL SYSTEMS AND RELATED TOPICS. II, Kozubnik, EQUATIONS, Montecatini T., Italy. Poland. (August 1980, p. 453) Director: C. Cercignani. Lecturers: H. Grad, J. Hejtmanek, H. Neunzert, P. 18-22. REGIONAL CONFERENCE ON REPRESENTATIONS OF F. Zweifel. SEMI-SIMPLE LIE GROUPS AND APPLICATIONS TO ANAL Y­ SIS, GEOMETRY, AND NUMBER THEORY, University of Information: A. Moro, CIME, !st. Mat. U. Dini, V.le North Carol ina, Chapel Hill, North Carolina. Morgagni 67/A, 50134 Florence, Italy.

266 15-19. THIRD ANNUAL SHORT COURSE IN COMBINATORIAL 23-26. SYMPOSIUM ON MACHII~E PROCESSING OF REMOTELY PROBLEM-SOLVING, University of Maine, Orono, Maine. SENSED DATA, Purdue University, West Lafayette, Sponsor: Northeastern Section, Mathemati ca 1 Associ- Indiana. (February 1981, p. 182) ation of America. Principal Lecturer: Alan Tucker, State University 23-27. COLLO.JlUE INTERNATIONAL DE GEOM€TRIE ENUM€RA• of New York, Stony Brook. TIVE ET GEOMETRIE ALGtBRIQUE CLASSIQUE, Nice, Information: Don Small, Colby College, Waterville, France. Maine 04901; or Gratten Murphy, Department of Invited Speakers: Speakers who have so far accepted Mathematics, University of Maine, Orono, Maine invitations include J. Dieudonne (Universite ·de 04469. Nice), S. Kleiman (M.I.T.), D. Laksov (Mittag­ Leffler Institute), F. Catanese (Universite de 15-23. C. I.M.E.: ALGEBRAIC THREEFOLDS, Varenna, Pisel, and R. Piene (Universite d'Oslo). Italy. Information: Yves Hervier or Patrick Le Barz, De­ Director: A. Conte. partement de mathemati ques, pare Val rose, 06034, ~s: C. H. Clemens, S. Mori, J. P. Murre, K. Nice, Cedex, France. Ueno. Information: A. Moro, CIME, !st. Mat. U. Dini, V.le 28-July 5. NIIHH INTERNATIONAL CONGRESS ON THE AP­ Morga9ni 67/A, 50134 Florence, Italy. PLICATION OF MATHEMATICS IN ENGINEERING, Weimar, German Democratic Republic. (August 1980, p. 453) 17-19. NATIONAL EDUCATIONAL COMPUTING CONFERENCE 19B1, North Texas State University, Denton, Texas. 28-July 18. RMMC 1981 SUMMER SEMINAR ON SINGULARITY Information: James L. Poirot, North Texas State THEORY, DYNAMICAL SYSTEMS, AND THEIR APPLICATIONS, University, P. 0. Box 13886, Denton, Texas 76203, Fort Lewis College, Durango, Colorado. (.January (817) 788-2767. 1981, p. 91)

17-19. SECOND ltHERNATIONAL CONFERENCE ON THE NU­ 29-July 10. CURRENT TRENDS IN ALGEBRAIC TOPOLOGY, MERICAL ANALYSIS OF SEMICONDUCTOR DEVICES AND INTE­ The University of Western Ontario, London, Ontario, GRATED CIRCUITS, Dublin, Ireland. (October 1980, Canada. (August 1980, p. 453) p. 548; November 1980, p. 641) 29-July 17. LATIN-AMERICAN SCHOOL ON OIFFERENTIAL 17-20. INTERNATIONAL CONFERENCE ON MULTILINEAR AL­ EQUATIONS, University of Sao Paulo, Sao Paulo, GEBRA, Institute for Algebra and Combinatorics, Brazil. University of California, Santa Barbara, California Program: Courses will be given by A. Castro (Insti­ 93106. tute Politecnico Nacional, Mexico), J. Ize (Uni­ ~: There will be approximately six principal versidad Nacional Aut6noma de ~xicol and D. G. lectures as well as sessions for 15-minute con- de Figueiredo (Universidade de Brasfl ia, tributed papers. Brazil). There will also be invited talks and Deadline for Abstracts: June 1, 1981. sessions for contributed papers. Information: Russell Merris, Conference Director, Deadline for Papers: May 29, 19B1. Department of Mathematics, California State Uni­ Information: Chaim S. Honig, Institute de Mate­ versity, Hayward, California 94542. m&tfca e Estatfstica, Universidade de sao Paulo, C.P. 20570, Sio Paulo, SP, Brazil. 18-26. SYMPOSIUM ON FREE BOUNDARY PROBLEMS: THEORY AND APPLICATIONS, Montecatini, Italy. (January 29-July 24. RESEARCH WORKSHOP ON BANACH SPACES, 1981, p. 91) University of Iowa, Iowa City, Iowa. (January 1981, p. 92) 21-28. SECOND ANNUAL WEEK IN ALGEBRAIC GEOMETRY, Bucharest, Romania. (February 1981, p. 180) 30-July 2. FOURTH IMACS INTERNATIONAL SYMPOSIUM ON COMPUTER METHODS FOR PARTIAL DIFFERENTIAL EQUA­ 22-26. THIRD BIENNIAL SUMMER SEMINAR ON OPERATIONS TIONS, Lehigh University, Bethlehem, Pennsylvania. RESEARCH, Saint Mary's College, Winona, Minnesota. (October 1980, p. 548) (February 1981, p. 180) 30-July 2. FOURTH TOPOLOGY SYMPOSIUM, Edinburgh, 22-26. FOURTH INTERNATIONAL TIME SERIES MEETING, Scotland. (Jdnuary 1981, p. 92) Valencia, Spain. ~: T. w. Anderson, R. J. Bhansali, w. S. -Cleveland, R. E. Kalman, R. D. Martin, P. M. New- bold, B. Priestley, E. A. Robinson, P. Shaman and JULY 1981 H. Tong. Call for Papers: Contributed papers are solicited. 1-10. C.I.M.E.: NONLINEAR FILTERING, Cortona, Information: Oliver D. Anderson, ITSM Spain, 9 Ing­ Italy. ham Grove, Lenton Gardens, Nottingham NG7 2LQ, Director: A. Moro. England. Lecturers: A. Bensoussan, B. Grigelionis, s. Mit­ ter, E. Pardoux. 22-27. INTERNATIONAL SYMPOSIUM ON STOCHASTICS AND Information: A. Moro, CIME, !st. Mat. U. Dini, V.lf! ANALYSIS, Tubingen, West Germany. (October 1980, Morgagni 67/A, 50134 Florence, Italy. p. 548) 6-10. REGIONAL CONFERENCE ON QUANTILE PROCESSES IN 22-July 3. WORKSHOP ON FEEDBACK AND SYNTHESIS OF STATISTICS, Texas A & M University, College Sta­ LINEAR AND NONLINEAR SYSTEMS, Center for Interdis­ tion, Texas. ciplinary Research, Bielefeld, West Germany; Rome. ~: Ten survey lectures will be given by (November 1980, p. 641) ~s Csorgo (Carleton University). The organi- zers hope that the conference wi 11 lead to the 22-July 10. ECOLE D'ETE D'ANALYSE NUMERIQUE, Cla­ development of a co11111unity of statisticians with mart, France. the training and motivation to develop and apply Topic: Equation du transport. quantile process-based methods of statistical Sp~akeHs: J. J. Duderstadt (Michigan University), data analysis. Kales (New York University), E. E. Lewis Support: Mathematical Sciences Section, National (Northwestern University). Science Foundation. Deadline for Application: April 15, 198}. ~: Support will be provided for 25 qualified Information: Secrt!tariat des fcoles d'~tl!, 1 Avenue -----pariTcipants. Application should be made no later du G~n~ral de Gaulle, 9?.140 Clamart, France. than May 1, 1981.

267 Information and Applications: William C. Parr, Con­ Department, The Johns Hopkins University, Balti­ ference Coordinator, Institute of Statistics, more, Maryland 21218. Teltas A & M University, College Station, Teltas 10-14. NSF-CBMS REGIONAL CONFERENCE IN MATHEMATICS, 77843. Carleton College, Northfield, Minnesota. Topic: Orderings and quadratic forms over fields. 6-11. SIXTH HUNGARIAN COLLOQUIUM ON COMBINATORICS, Principal Lecturer: Professor T.-V. Lam, Universi~ Budapest, Hungary. (February 1981, p. 180) of Calffornfa, Berkeley. Program: Professor Lam will deliver 10 lectures to 6-17. ADVANCED STUDY AND RESEARCH INSTITUTE ON THE­ an audience of about 25 mathematicians whose re­ ORETICAL APPROACHES TO SCHEDULING PROBLEMS, Durham, search interests lie close to the conference England. (February 1981, p. 180) theme. The program will also include short talks by willing participants. 13-24. NATO ADVANCED RESEARCH INSTITUTE ON NONLIN­ Information: Steve Galovich, Department of Mathe­ EAR OPTIMIZATION, Cambridge, England. (February matics, Carleton College, Northfield, Minnesota 1981, p. 180) 55057, (507) 663-4370. 15-31. ECOLE D'ETE O'INFORMATIQUE, Clamart, France. 11-21. SIXTH INTERNATIONAL CONFERENCE ON MATHEMATI­ Topic: Systemes repartis et sGrete de fonctionne- CAL PHYSICS, Berlin, Federal Republic of Germany. ment. (October 1980, p. 549) Speakers: E. D. Jensen (Carnegie-Mellon Univer­ sity), G. Le Lann (I.N.R.I.A.), B. Randell (New­ 17-September 11. SUMMER SCHOOL ON GROUP REPRESENTA­ castle-upon-Tyne University). TIONS AND ITS APPLICATIONS, University of Ibadan, Deadline for Application: April 15, 198J. Nigeria. Information: Secr~tarfat des tcoles d'tt~. 1 avenue Sponsors: Department of Mathematics, University of du G~nlral de Gaulle, 92140 Clamart, France. Ibadan, Nigeria and Institute for Theoretical Physics, Trieste, Italy. 16-24. LOGIC SYMPOSIUM DEDICATED TO THE MEMORY OF Deadline for Application: June 16, 1981. J. ~ERBRAND, Marseille, France. (February 1981, p. Applications and Information: The Chairman, Organ­ 180) ising Conmittee on Group Representations Summer School, Department of Mathematics, University of 19-25. SUMMER MEETING IN CATEGORY THEORY, Cam­ Ibadan, Nigeria. bridge, England. (October 1980, p. 548) 23-28. NINTH AUSTRALIAN CONFERENCE ON COMBINATORIAL 20-24. EIGHTH BRITISH COMBINATORIAL CONFERENCE, MATHEMATICS, University of Queensland, Brisbane, Swansea, South Wales. (October 1980, p. 549) Queensland, Australia. (February 1981, p. 181) 20-25. HUNGARIAN COLLOQUIUM ON NUMBER THEORY, Buda­ 2 3-28. TENTH CONFERENCE ON STOCHASTIC PROCESSES AND pest, Hungary. THEIR APPLICATIONS, Montreal, Canada. (October Information: Secretary, Bolyai Mathematical Soci­ 1980, p. 549) ety, Budapest, Anker Koz 1-3, H-1061, Hungary. 24-28. INTERNATIONAL SYMPOSIUM ON STOCHASTIC PRO­ 25-August 1. GROUPS--ST, ANDREWS 1981, University CESSES AND APPLICATIONS TO DIFFERENTIAL OPERATORS of St. Andrews, St. Andrews, Scotland. (February IN MATHEMATICAL PHYSICS, C.I.R.M. (International 1981, p. 181) Center for Mathematical Meetings), Marseille­ Luminy, France. (Febru ry 1981, p. 181) 27-31. IFIP THIRD WORLD CONFERENCE ON COMPUTERS IN EDUCATION, Lausanne, Switzerland. (February 1981, 24-28. FIFTH SYMPOSIUM ON GENERAL TOPOLOGY AND ITS p. 181) RELATIONS TO MODERN ANALYSIS AND ALGEBRA, Prague, Czechoslovakia. (January 1981, p. 92) 27-August 6, DURHAM SYMPOSIUM ON OPERATOR ALGEBRAS, Grey College, Durham, England. (February 1981, p. 24-28. THIRD INTERNATIONAL CONFERENCE ON FUNDAMEN­ 181) TALS OF COMPUTATION THEORY, Szeged, Hungary. (Janu­ ary 1981, p. 92) 24-28. INTERNATIONAL COLLOQUIUM ON STOCHASTIC PRO­ AUGUST 1981 GRAMMING, Koszeg, Hungary. Information: Secretary, Bolyai Mathematical Soci- 3-7. INTERNATIONAL SEMINAR ON FUNCTIONAL ANALYSIS, e~. Budapest, Anker Koz 1-3, H-1061, Hungary. HOLOMORPHY AND APPROXIMATION THEORY, Universidade Federal do Rio de Janeiro, Brazil. (October 1980, 28-September 12. SYMPOSIUM ON ORDERED SETS, Banff, p. 549) Canada. (February 1981, p. 181) 3-21. sfMINAIRE DE MATHEMATIQUES SUPERIEURES--NATO 31-September 4. FOURTEENTH EUROPEAN MEETING OF ADVANCED STUDY IHSTITUTE, University of Montreal, STATISTICIANS, Wroc:l'aw, Poland. (February 1981, p. Montreal, Canada. (February 1981, p. 181) 182) 5-7, 1981 ACM SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC 30-September 6. NINTH INTERNATIONAL CONFERENCE ON COMPUTATION, Snowbird, Utah. (October 1980, p. 549) NONLINEAR OSCILLATIONS, Kiev, USSR. (August 1980, p. 453) 6-7. FIFTH INTERNATIONAL TIME SERIES MEETING, Hous­ ton, Teltas. (February 198I, p. 181) 31-September 4. WORKSHOP ON COMPUTATIONAL PROBLEMS IN COMPLEX ANALYSIS, Stanford University, Stanford, 9-14. SYMPOSIUM ON NETWORK FLOWS, The Johns Hopkins California. University, Baltimore, Maryland. Invited Lecturer: Peter Henrici (ETH-Zurich, Swit­ ~: Darwin Klingman, University of Teltas (Aus­ zerland). tin), will give a series of instructional lec- Topics: (Tentative). Conformal mapping, local ap­ .tures on optimization algorithms and data struc­ proltimation, global approltimation, zero finding, tures for network flow prob 1ems. Other invited Poisson's equatio~. and contributed papers on related topics. Call for Papers: Contributed talks are solicited on ~: Travel and subsistence allowances for some various topics in computational complelt analy­ ----partfcipants may be available. sis. Those interested are requested to submit a Information: Alan J. Goldman, Mathematical Sciences title and if possible an abstract.

268 Information: Lloyd N. Trefethen, (415) 497-2902, Co-Chairmen: Oliver D. Anderson and Abdel H. El­ ARPAnet: LNT@SU-AI, or Gene Golub, (415) Shaarawi. 497-3124; Computer Science Department, Stanford Call for Papers: Contributed papers are solicited. University, Stanford, California 94305. Information: A. H. El-Shaarawi, Aquatic Physics and Systems Division, National Water Research Insti­ 31-September 6. FIRST ROONIAN-GDR SEMINAR ON BA­ tute, Canada Centre for Inland Waters, P.O. Box NACH SPACE THEORY, Romania. (February 1981, p. 182) 5050, Burlington L7R 4A6, Ontario, Canada, (416) 637-4584.

SEPTEMBER 1981 7-11. AMERICAN MATHEMATICAL ASSOCIATION OF TWO YEAR COLLEGES' ANNUAL CONVENTION, New Orleans, 7-11, SEMINAR ON CONTROL THEORY IN DIFFERENTIAL Louis! ana. EQUATIONS, Romania. (February 1981, p. 182) Deadline for A[;plication: April 15, 1981. Information:a11 Jones, AMATYC Convention Chair- 7-12. SIXTH CONGRESS OF THE GROUPEMENT DES MATHE­ person, Delgado Community College, West Bank MATIC lENS 0 'EXPRESS ION LA TINE, Centre Uni versi ta ire Campus, 2600 General Meyer Avenue, New Orleans, de Luxembourg, Luxembourg. (Dates of this meeting Louisiana 70114, 504-361-6435. are changed from those previously announced. See October lg8o, p. 549, under August 31.) 26-29. SOCIETY FOR INDUSTRIAL AND APPLIED MATHE­ MATICS FALL MEETING, Cincinnati, Ohio. 8-10. INTERNATIONAL SYMPOSILM ON SEMI-INFINITE PRO­ Topics: Qualitative analysis of transport phenom­ GRAMMING AND APPLICATIONS, Austin, Texas. (October ena; numerical solution of integral equations; 1980, p. 549) reliability of scientific software. Information: Hugh B. Hair, Society for Industrial 13-20. INTERNATIONAL CONFERENCE ON COMPLEX ANALYSIS and Applied Mathematics, 1405 .Architects Build­ AND APPLICATIONS, Varna-Golden Sands, Bulgaria. ing, 7 South 17th Street, Philadelphia, Penn­ (January 1981, p. 92) sylvania 19103, (215) 564-2929. 14-17. IEEE COMPUTER SOCIETY COMPCON FALL '81, 28-30. 1981 IEEE SYMPOSIUM ON FOUNDATIONS OF COMPU­ Capital Hilton Hotel, Washington, D.C. (February TER SCIENCE, Nashville, Tennessee. 1981, p. 182) ~: IEEE Computer Society Technical Committee ~thematical Foundations of Computing. 21-26. JOURNEES ARITHMETIQUES, Metz, France. (Octo­ Call for Pa~ers: Papers describing original re­ ber 1980, p. 549) search on t eoretical aspects of computer science are being sought. 25-26. NINTH ANNUAL MATHEMATICS AND STATISriCS CON­ :!QJ!.lli: Possible topics include analysis of algo­ FERENCE, Miami University, rltllms (hardware and software); auto•nata and Oxford, Ohio. language ~: The theme for this year's conference will theory; computational complexity; logics ~rging Trends in Mathematics and its In- and semantics of programs; mathematical aspects struction." Speakers will include Paul R. Halmos, of programming languages and systems; models of Indiana University; Alan Tucker, SUNY at Stony computation; performance bounds for computational Brook; and James W. Wilson, University of problems. Georg fa. Instructions to Authors: Authors should send ten copies of a detailed abstract to the Program Call for Papers: Papers relating to the general Chairman at the address below by April 15, 1981. theme are welcome. Of particular interest are pa­ Abstracts should not exceed 2500 words (about ten pers dealing with emerging trends in a particular typewritten double-spaced pages). area of matfiematics or mathematics education. Information: Arnold L. Rosenberg, Program Chairman, Deadline for Abstracts: June 1, 1981. IBM Research Center, P.O. Box 218, Yorktown Information and Abstracts: David Kullman or Lyman Heights, New York 10598. Peck, Departiiii!nt of Mathematics and Statistics Miui University, Oxford, Ohio 45056. ' 31-November 2. ANNUAL MEETING OF THE AMERICAN SOCI­ ETY FOR CYBERNETICS, Washington Hilton Hotel, Wash­ 25-26. OHIO DELTA CHAPTER OF PI MU EPSILON ANNUAL ington, D.C. STUDENT CONFERENCE, Miami University, Oxford, Ohio. Topics: Relevant topics include concepts (e.g., Call for Papers: Undergraduate and master's mathe- requisite variety, self-organ! zati on, self-refer­ matics students are invited to contribute papers, ence), 1nethods (e.g. system dynamics, constraint and should send abstracts to the address below. analysis, Spencer-Brown mathematics), and appl i­ Information: Milton Cox, Department of Mathematics cations (e.g., robotics, problem solving, pattern and Statistics, Miami University,· Oxford Ohio recognition, remote sensing. communication net­ 45056. • works). Call for Papers: A short abstract or description 30-0ctober 2, FOURTH AACHEN SYMPOSIUM: THEORY AND lloo-zoo words) should be sent to Laurence D. APPLICATIONS OF SIGNAL PROCESSING, Aachen, West Richards at the address below no later than April Germany. (January 1981, p. 92) 30, 1981. Information: Laurence D. Richards, Department of Administrative Science, Colby College, Water­ OCTOBER 1981 ville, Maine 04901, (207) 873-1131; or Stu Umpleby, George Washington University, Washing­ 6~8. DEDEKIND-TAGUNG, Technische Universitat Braun­ ton, D.C. (202) 676-7530. schweig, West Germany. (February 1981, p. 182) AUGUST 1982 6-8, INTERNATIONAL CONFERENCE ON TIME SERIES METH­ ODS IN THE HYDROSCIENCES, Burlington, Ontario, Can­ 11-19. INTERNATIONAL CONGRESS OF MATHEMATICIANS, ada. Warsaw, Poland. (October 1980, p. 549)

269 NEW AMS PUBLICATIONS

CBMS REGIONAL CONFERENCE sible to upper division students. It has an expository SERIES IN MATHEMATICS flavor. However, the focus is mathematics and all basic theorems are proved. (ISSN 0160-7642) Number 45, v + 65 pages (soft cover) List price $5.60, individual $2.80 (Published with support from the National Science ISBN 0-8218-1696-9; LC 80-29667 Foundation) Publication date: February 1981 To order, please specify CBMSI45N RUDIMENTS OF RAMSEY THEORY MEMOIRS OF THE AMERICAN by Ronald L. Graham It is no exaggeration to say that within the past MATHEMATICAL SOCIETY ten years there has been a veritable explosion of (ISSN 0065-9266) activity in the general field of combinatorics. Within this domain, one particular subject has enjoyed even ADMISSIBLE SOLUTIONS more remarkable growth. This subject is Ramsey OF HYPERBOLIC CONSERVATION LAWS theory, the topic of these lecture notes. The notes by Tai-Ping Liu are based rather closely on lectures given at a Region­ This paper studies the behavior and approxima­ al Conference at St. Olaf College in june, 1979. It tion of solutions of hyperbolic conservation laws sub­ was the purpose of the lectures to develop the back­ ject to generalized entropy condition. No convexity ground necessary for an understanding of these re­ (genuine-nonlinearity) condition is assumed so that cent developments in Ramsey theory. In keeping with the result is applicable to models in both fluid and the style of the lectures, the notes are informal. How­ solid mechanics. The solution is decomposed into ever, complete proofs are given for most of the basic elementary nonlinear modes by a principle of non­ results presented. In addition, many useful results linear superposition. The stability property of wave may be found in the exercises and problems. patterns, which is a consequence of generalized Loosely speaking, Ramsey theory is that branch entropy condition, is also derived and used in the of combinatorics which deals with structure which study of the asymptotic behavior and the singularities is preserved under partitions. Typically one looks at of the solution. the following kind of question: If a particular struc­ Memoir Number 240, iv + 78 pages (soft cover) ture (e.g., algebraic, combinatorial or geometric) is List price $4.80, institutional member $3.60, arbitrarily partitioned into finitely many classes, what individual member $2.40 kinds of substructures must always remain intact in ISBN 0-8218-2240-3; LC 80-28506 at least one of the Publication date: February 1981 classes? To order, please specify MEM0/240N During the past few years, a number of spectacu­ lar advances have been made in the field of Ramsey INITIAL SEGMENTS OF DEGREES BELOW 0' theory. These include, for example, the work of by Richard Szemeredi and Furstenberg settling the venerable L. Epstein conjecture of Erdos and Turan (that a set of integers In this Memoir two main results are proved: with no k-term arithmetic progression must have (1) w + 1 is an initial segment of the degrees of un­ density zero), the Nesetfii-Rodl theorems on induced solvability .;;; a for any r.e. a =F 0, and (2) given any Ramsey properties, the results of Paris and Harrington 0 < a < h where a and h are r.e. and h is high, there on "large" Ramsey numbers and undecidability in is a minimal degree m < h such that m U a = h. first-order Peano arithmetic, Deuber's solution to the These results are combined to show that certain more old partition regularity conjecture of Rado, Hindman's complicated configurations occur in the degrees surprising generalization of Schur's theorem, and the .;;; 0'. These configurations were used elsewhere to resolution of Rota's conjecture on Ramsey's theorem establish that the first-order theory of degrees .;;; 0' for vector spaces by Graham, Leeb and Rothschild. is undecidable. Here they are used in a proof of R. It has also become apparent that the ideas and tech­ Shore that arithmetic is equivalent to that theory. niques of Ramsey theory span a rather broad range Memoir Number 241, vi + 102 pages (soft cover) List price $6.00, institutional member $4.50, of mathematical areas, interacting in essential ways individual member $3.00 with parts of set theory, graph theory, combinatorial ISBN 0-8218-2241-1; LC 80-28538 number theory, probability theory, analysis and even Publication date: February 1981 theoretical computer science. To order, please specify MEM0/241 N It is the purpose of these lecture notes to lay the foundation on which much of this recent work is ODD PRIMARY INFINITE FAMILIES based. Most of what is covered here is treated in IN STABLE HOMOTOPY THEORY considerably more detail in the recent monograph by Ralph L. Cohen Ramsey theory by Graham, Rothschild and Spencer. In this paper new infinite families in each odd Relatively little specialized mathematical back­ primary part of the stable homotopy groups of ground is required for this book. It should be acces- spheres are constructed. Along the way to obtaining

270 these elements there is a detailed study of the stable B. N. Delane, N. P. Dolbilin and M. I. Stogrin homotopy type of the double loop space of a sphere, A. S. DZumadil 'daev and A. I. Kostrikin Q2sn. This study includes an explicit computation Ju. A. Drozd of its cohomology as a module over the Steenrod V. V. Kiricenko algebra, the construction of odd primary analogues of L. A. Nazarova Brown-Gitler spectra, and a demonstration of how L. A. Nazarova, S. A. Ovsienko and A. V. ~oitcr these spectra can be used to describe the stable homo· A. G. Postnikov topy type of Q2Sn. Finally, applications of the A. V. Roiter Adams-Novikov spectral sequence based on the Brown­ S. S. Ryskov Peterson spectrum are discussed. B. F. Skubenko Contents D. A. Suprunenko 1. Odd primary Brown-Gitler spectra A. A. Suslin 2. H*(Q2sn) as a module over the Steenrod algebra A. V. jakovlev 3. The odd primary stable homotopy type of Q2S2+n 1980, Issue 4, Number 148, vii + 283 pages (soft cover) 4. Applications to the stable homotopy groups of List price $88.00, institutional member $66.00, individual member $44.00 spheres ISBN 0-8218·3046-5; LC 80-28539 5. Applications of the Adams-Novikov spectral Publication date: March 1981 sequence-more infinite families in P rr; To order, please specify STE K L0/148N Memoir Number 242, viii + 92 pages {soft cover) List price $5.60, institutional member $4.20, individual member $2.80 REPRINTS ISBN 0-8218-2242-X; LC 80-28537 RECENT Publication date: March 1981 To order, please specify MEM0/242N PROBABILITY edited by joseph L. Doob PROCEEDINGS OF THE STEKLOV Proceedings of Symposia in Pure Mathematics INSTITUTE OF MATHEMATICS Volume 31, 1977, reprinted 1981, 169 pages {soft cover) (ISSN 0081-5438) List price $15.20, institutional member $11.40, individual member $7.60 To order, please specify PSPUM/31 N ALGEBRA, THEORY OF NUMBERS AND THEIR APPLICATIONS SYMMETRIC STRUCTURES IN BANACH SPACES edited by A. N. Andrianov et a/. by W. B. johnson, B. Maurey, G. Schechtman This book contains papers by the following and L. Tzafriri authors: Memoirs of the AMS, Number 217 A. N. Andrianov and G. N. Maloletkin 1979, reprinted 1981, 298 pages {soft cover) V. A. Andrunakievic and ju. M. Rjabuhin List price $10.00, institutional member $7 .50, M. I. Basmakov and A. L. Cistov individual member $5.00 To order, please specify MEM0/217N L. A. Bokut' Z. I. Borevic and N. A. Vavilov PARTIAL DIFFERENTIAL EQUATIONS Z. I. Borevic and E. V. Dybkova by L. Bers, F. john, and M. Schechter B. B. Venkov S. V. Vostokov Lectures in Applied Mathematics, Volume 3A 1964, reprinted 1981; 343 pages {soft cover) R. V. Galiulin List price $16.00, institutional member $12.00, P. M. Gudivok individual member $8.00 I. S. Gucul and V. S. Makarov To order, please specify LAM/3.1 N

MEMOIRS OF THE AMERICAN on the second. Certain semigroups of nonlinear MATHEMATICAL SOCIETY operators play a central role in the theory, and tech­ niques based on the use of these operators are new even in the classical setting. Applications encompass ALGEBRAIC POTENTIAL THEORY hyperharmonic, superharmonic, and harmonic func­ by Maynard Arsove and Heinz Leutwiler tions in classical and axiomatic potential theory, as A purely algebraic development of potential well as cones of potentials and H-cones. theory is given in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes Memoir Number 226, v + 130 pages (soft cover) the notion of a Riesz space (vector lattice) by re­ List price $7.60, institutional member $5.70, individual member $3.80 placing the usual lower and upper envelopes by un­ ISBN 0-8218·2226-8; LC 79-24384 symmetrical "mixed" envelopes, formed relative to Publication date: December 1979 specific order on the first element and initial order To order, please specify MEM0/226G

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271 MISCELLANEOUS

Ivan Rival of the University of Calgary has been Personal Items appointed to a visiting associate professorship for the Steven L. Batterson of Emory University is on winter and spring quarters at Emory University. leave for the academic year 1980-1981 as a Visiting Albert Wilansky of Lehigh University has been Member at the Institute for Advanced Study, appointed to visiting professorships at the Universities Princeton. of Bern and Tel Aviv during the spring semester. Trevor Evans of Emory University has been Shing-Tung Yau of the Institute for Advanced appointed to the Fuller E. Callaway Chair of Mathe­ Study, Princeton, has been awarded the John J. matics at that institution. Carty Medal by the National Academy of Sciences. Michael C. Gemignani of Indiana University­ Purdue University at Indianapolis has been appointed Dean of the College of Sciences and Humanities at Deaths Ball State University, effective May 15, 1981. Jacob Eli Goodman of the City University of Harry M. Gehman of Los Gatos, California, died New York, City College, has been promoted to pro­ on January 1 5, 1981, at the age of 83. He was a fessor at that institution. member of the Society for 59 years. Long an active Gerald A. Heuer of Concordia College is on sab­ member of the MAA, he had served as Secretary­ batical leave for the academic year 1980-1981. He Treasurer and as both Treasurer and the first Execu­ is spending the year at Washington State University. tive Director of that organization. He was Executive J. Gopala Krishna of Andhra University India Director Emeritus of the MAA at the time of his has been named a Fellow of the National A~adem~ death. of Sciences of India. Professor Emeritus James E. Powell of Michigan Howard Lambert of the University of Iowa has State University died on January 17, 1981, at the been appointed Professor and Chairman of the age of 77. He was a member of the Society for 55 Department of Mathematics at Western New Mexico years. University. Sol I. Rubinow of the Cornell University Graduate Robert H. Moore of the University of Wisconsin School of Medical Sciences died on February 22, Milwaukee, has been appointed to a visiting associat; 1981, at the age of 57. He had served on the joint professorship, for the winter and spring quarters at AMS-SIAM Committee on Mathematics in the Life Emory University. Sciences since 1976.

PROCEEDINGS OF SYMPOSIA range of topics discussed there. It should be of in­ IN PURE MATHEMATICS terest to mathematicians or advanced students in geometry and analysis; physicists and chemists inter­ GEOMETRY OF THE LAPLACE OPERATOR ested in spectral theory of the Laplace operator and the Schroedinger equation. The fundamentals of edited by Robert Ossermon and Alan Weinstein Riemann geometry and some knowledge of analysis This book contains a series of papers covering on manifolds is indispensible for the enjoyment and most of the topics that would be subsumed under understanding of the papers included. One will be the heading of "geometry of the Laplace operator." rewarded with an overview of the type of problems In particular, one has the most recent results on in this field under active investigation, and an up-to­ bounds for low eigenvalues of the Laplace operator date report on many of the latest results. in terms of geometric quantities, total distribution of the spectrum in relation to closed geodesics and This symposium received support from the other geometric entities, harmonic mappings, and National Science Foundation. geometric scattering theory. Volume 36, vii + 323 pages (hard cover) The book contains expanded versions of most of List price $18.00, institutional member $13.50 the invited lectures and a few contributed papers individual member $9.00 ' ISBN 0·8218·1439·7; LC 79·26934 from a symposium held at the University of Hawaii Publication date: February 1980 in March 1979 and represents quite faithfully the To order, please specify PSPUM/36 N

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272 Doctorates Conferred in 1979-1980 (Supplementary List) The following list supplements Tavassoli, Hassan, B-operators and Fordham University the list of thesis titles published fixed points of nonexpansive maps. (1;1,0,0,0,0,0,0) in the November 1980 Notices (see MATHEMATICS GEORGIA page 616 for an explanation of the Li, Hu-Hsiung, Iterated loop functors' numbers in parentheses). al­ University of Georgia and the homology of the Steenrod gebra A(p). CALIFORNIA (1;0,0,0,0,1,0,0) University of California, APPLIED MATHEMATICS RHODE ISLAND Berkeley Malakian, Kourken, Linear and non­ Brown University (4;0,4,0,0,0,0,0) linear stochastic operators. (1;0,0,1,0,0,0,0) STATISTICS KANSAS COMPUTER SCIENCE tech­ Davis, Bernard Paul, Graphical Carlbom, Ingrid Birgitta, System ar­ niques in reliability theory. University of Kansas chitecture for high-performance vec­ Hudes, Esther Sid, Availability theory (2;0,0,2,0,0,0,0) tor graphics. for systems whose components are COMPUTER SCIENCE subjected to various shut-off rules. Alan, Induction of se­ SOUTH CAROLINA Lo, Albert Yee-Lap, Some contribu­ Jones, Mark tions to Bayesian nonparametric sta­ mantic grammar. University of South Carolina analysis tistical inference. Singh, Amrendra, Texture (1;1,0,0,0,0,0,0) and image segmentation using rela­ Uprety, Basudev, Bayesian tests MATHEMATICS AND STATISTICS of some sharp-null hypotheses about tive extrema. Adair, Celia Lane, Varieties of * or­ normal distributions. MASSACHUSETTS thodox semigroups. University of California, Los Angeles Brandeis University TEXAS (1;0,0,0,0,0,0,1) (6;6,0,0,0,0,0,0) Texas Christian University BIOMATHEMATICS MATHEMATICS (2;2,0,0,0,0,0,0) ex­ Akin, Kaan, A characteristic-free Landaw, Elliot Michael, Optimal MATHEMATICS perimental design for biologic com­ approach to Schur complexes and Talati, Kiritkumar, New bases of partmental systems with applications resolutions of determinantal ideals. monodiffric polynomials. to pharmacokinetics. Cuoco, Albert, Some contributions to West, Ronald Eual, Discrete analytic the theory of Z~-extensions. functions on a radial lattice. CONNECTICUT Eck, David, Gauge-natural bundles and generalized gauge theories. Texas Tech University Yale University Johnson, Keith, On Pontrjagin (1;1,0,0,0,0,0,0) (5;0,0,5,0,0,0,0) duality of spectra. MATHEMATICS Schnur, Alberto Leon Kushner, On COMPUTER SCIENCE Plaster, John Charles, A simple maps from a 3-dimensional manifold Budd, Timothy, Mutation analysis of geometric criterion for non-Bazi­ to the plane. program test data. levicness. Granger, Richard, Adaptive under­ Weyman, Jerzy, Schur functors and standing: correcting erroneous infer­ resolutions of minors. CANADA ences. MONTANA Laskowski, Sharon, The heuristic ap­ University of Calgary (5;2,3,0,0,0,0,0) proach to tensor ranking. University of Montana Selfridge, Mallory, A process model (1;1,0,0,0,0,0,0) MATHEMATICS AND STATISTICS of language acquisition. Gupta, Ani! Kumar, Modules over Yap, Chee, Three studies on computa­ MATHEMATICS endomorphism rings. tional problems. Kasube, Herbert Emil, The class Kumar, Ashish, Some estimation number of an algebraic number field: problems in power series distribution. DISTRICT OF COLUMBIA its interpretation and use. Riazi, Abdolhamid, Characteriza­ tions of amenability of locaUy com­ of America Catholic University NEW YORK pact separately continuous subgroups. (3;1,0,1,0,0,0,1) Sheahan, Jerome Nicholas, Robust Cornell Univenity MATHEMATICS estimation of the regression vector in (1;0,1,0,0,0,0,0) Bernal, Javier, Behavior of k-dimen­ the linear model in the presence of sional convexity moduli. BIOMETRICS asymmetry. Moazzam, Mohammed, Globally Kershner, Ronald P., On the theory Shoukri, Mohamed Mohamed, Esti­ convergent methods for solving non­ of crossover designs with residual mation problems for some generalized linear difference equations. effects. discrete probability distributions.

273 AMS REPORTS AND COMMUNICATIONS

Recent Appointments Two Oswald Veblen Prizes in Geometry were awarded. The recipients were Mikhael Gromov of the State University of New York, Stony Brook, and Committee members' terms of office on standing Shing-Tung Yau of the Institute for Advanced Study. committees expire on December 31 of the year See pages 160 to 164 of the February 1981 Notices. given in parentheses following their names, unless otherwise specified. Invited Addresses. By invitation of the Program Committee, there were eight invited one-hour addres­ ses, as follows: SHMUEL AGMON, Hebrew Univer­ Chandler Davis (1983) has been reappointed by sity, Israel, and the University of Virginia, How do President Andrew M. Gleason to the Committee on eigenfunctions decay-some recent results; GREGORY Human Rights of Mathematicians. Other members of V. CHUDNOVSKY, Columbia University, An explicit the committee are R. H. Bing (1982), Ed Dubinsky solution of classical and quantum field theory models (1983). John L. Kelley (1981), John A. Nohel, and parallel arithmetical problems: A unified approach; chairman (1982}. Vera S. Pless (1981 ), Eduardo D. R. KEITH DENNIS, Cornell University, Stabilization Sontag (1981), and Gail S. Young (1983). in algebraic K-theory; FEZA GURSEY, Yale Univer­ Members of the Committee on Committees have sity, Quaternion functions in gauge field theories; been appointed by President Andrew M. Gleason. JAMES E. HUMPHREYS, University of Massachusetts, They are Marian Boykan Pour-EI, James A. Donaldson, Amherst, Some problems in the cohomology of alge­ Ronald G. Douglas, Frederick W. Gehring, R. James braic groups; DENNIS SULLIVAN, University of Milgram, and Neil J. A. Sloane. All terms expire in Colorado, Geometry of limit sets of Kleinian groups; 1982. Everett Pitcher is the continuing member, ex MASAMICHI TAKESAKI, University of California, officio. Los Angeles, Report on von Neumann algebras; MICHELE VERGNE, Massachusetts Institute of Tech­ nology, Some geometrical aspects of representations of Lie groups. Reports of Meetings The presiding officers at these eight hour addres­ ses were Tosio Kato, Mark Kac, Michael R. Stein, Paul R. Chernoff, George D. Mostow, Robion C. THE ANNUAL MEETING IN SAN FRANCISCO Kirby, Robert J. Blattner, and Calvin C. Moore. The eighty-seventh annual meeting of the Ameri­ Special Sessions. In consultation with the Pro­ can Mathematical Society was held in San Francisco, gram Committee, seventeen sessions of selected California, from January 7 to January 10, 1981. papers were scheduled. The meeting was held jointly with the 1981 annual Classification of finite simple groups, organized meeting of the Association for Symbolic Logic, and by MICHAEL ASCHBACHER of the California Insti­ the 64th annual meeting of the Mathematical Asso­ tute of Technology, DAVID GOLDSCHMIDT of the ciation of America. The meeting was preceded by University of California, Berkeley, and DANIEL the AMS Short Course entitled Cryptology in GORENSTEIN of Rutgers University. The list of Revolution: Mathematics and Models. There were speakers is Michael Aschbacher, Andrew Chermak, 3,260 registrants, including approximately 2,458 Walter Feit, R. Foote, Robert H. Gilman, George members of the Society. Glauberman, David Goldschmidt, Daniel Gorenstein, The Fifty-fourth Josiah Willard Gibbs Lecture Robert Louis Griess, Jr., Koichiro Harada, Richard was presented by CATHLEEN S. MORAWETZ of N. Lyons, Geoffrey Mason, Gary M. Seitz, Stephen the Courant Institute of Mathematical Sciences. D. Smith, Ronald M. Solomon, and B. Stellmacher. Professor Morawetz spoke on The mathematical Graph theory, organized by GARY CHARTRAND approach to the sonic barrier, and was introduced by and ARTHUR T. WHITE of Western Michigan Uni­ Andrew M. Gleason. versity. The speakers were Janet Simpson Beissinger, Stefan Andrus Burr, A. Keewatin Dewdney, Richard Colloquium Lectures. MARK KAC of Rocke­ A. Duke, Vance Faber, Joseph A. Gallian, Mark feller University presented a series of four Colloquium Goldberg, Charles M. Grinstead, Branko GrUnbaum, Lectures entitled Some mathematical problems sug­ Joan P. Hutchinson, Paul C. Kainen, Hudson V. E. gested by questions in physics. The presiding officers Kronk, Renu Laskar, Linda Lesniak-Foster, Terry A. at the four lectures were Andrew M. Gleason, Peter McKee, Bennet Manvel, Zevi Miller, Torrence D. D. Lax, Stanislaw M. Ulam, and Felix E. Browder. Parsons, Viera Krnanova Proulx, Richard Delose · The Retiring Presidential Address was given by Ringeisen, Cecil C. Rousseau, Allen John Schwenk, PETER D. LAX of the Courant Institute of Mathe­ Charles Suffel, William T. Trotter, Jr., Thomas W. matical Sciences. It was titled The influence of Tucker, and Curtiss E. Wall. computing on mathematics. He was introduced by Homotopy theory, organized by FREDERICK R. Andrew M. Gleason. COHEN of the University of Kentucky. The list of

274 speakers is Donald W. Anderson, David J. Anick, Berkeley. The list of speakers is David Fried, William Michael G. Barratt, Edgar H. Brown, Jr., Ralph Cohen, Mark Goldman, Troels Jorgenson, Steven P. Kerckhoff, Larry William Cusick, Donald M. Davis. Zbigniew Shoshichi Kobayashi, Gilbert Levitt, and Phillippe Fiedorowicz, John Harper, David Copeland Johnson, Tondeur. Larry A. Lambe, James P. Lin, Charles A. McGibbon, Mathematical physics, organized by JOEL L. Mark Mahowald, J. Peter May, Haynes R. Miller, LEBOWITZ of Rutgers University. The list of joseph Neisendorfer, Douglas C. Ravenel, Paul S. speakers is Michael Aizenman, Joseph Avron, Jean Selick, Victor P. Snaith, Robert John Wellington, Bricmont, Russel Caflisch, Mitchell Feigenbaum, Clarence W. Wilkerson, and E. Bruce Williams. Sheldon Goldstein, Charles M. Newman, Barry Simon, L 1 and related metric spaces, organized by M. Isadore M. Singer, Thomas Spencer, Leonard Susskind, DEZA and RONALD L. GRAHAM at Bell Labora­ and M. John Westwater. tories in Murray Hill, New Jersey. The list of Low dimensional topology, organized by S. J. speakers is R. Alexander, P. Assouad, D. Avis, Eiichi LOMONACO, JR., of State University of New York, Bannai, Persi W. Diaconis, Edward R. Howorka, lvo Albany. The list of speakers is Steven A. Bleiler, G. Rosenberg, W. C. Thompson, Stanislaw M. Ulam, J. E. Brandenburg, Andrew Casson, William D. and Hans S. Witsenhausen. Dunbar, Micheal Dyer, H. Clay Fickle, Michael Ordered fields and real algebraic geometry, or­ Freedman, David Gabai, Camaron MeA. Gordon, ganized by DONALD W. DUBOIS of the University Louis H. Kauffman, Robert J. Kramer, Jerome P. of New Mexico. The speakers were William A. Levine, S. J. Lomonaco, Jr., Richard Mandelbaum, Adkins, Carlos Andradas, Gregory W. Brumfiel, William Wyatt Menasco, Robert Meyerhoff, Kunia Arthur E. Bukowski, Hans Delfs, Charles N. Delzell, Murasugi, Robert Myers, Steven P. Plotnick, John G. Andreas W. M. Dress, Gustave A. Efroymson, Victor Ratcliffe, Dale Rolfsen, Martin Scharlemann, Allan J. Espino, Robert Gilmer, Danielle Gondard, jonathan Sieradski, Denis Sjerve, Ronald j. Stern, and James W. Harman, Melvin Henriksen, John R. Isbell, M. Van Buskirk. jonathan L. Merzel, Joe L. Mott, Tomas Recio, Number theory, organized by MELVYN B. Heinz-Werner Schulting, Niels C. Schwartz, Daniel B. NATHANSON and DON REDMOND of Southern Shapiro, Kazimierz Szymiczek, Alberto Tognoli, T. M. Illinois University, Carbondale. The list of speakers Viswanathan, and Roger P. Ware. is Tom M. Apostol, A. 0. L. Atkin, Andrew M. Baily, Quadratic form theory, organized by RICHARD W. Dale Brownawell, Richard T. Bumby, David V. S. ELMAN of the University of California, Los Chudnovsky, Harvey Cohn, Thomas W. Cusick, Jean­ Angeles. The list of speakers is Ronald P. Brown, Marie De Koninck, P. D. T. A. Elliott, Paul Erdos, Craig M. Cordes, Thomas C. Craven, Andrew G. john B. Friedlander, Frank E. Gerth Ill, Dorian Earnest, Robert Fitzgerald, Alexander J. Hahn, J. S. Goldfeld, Larry J. Goldstein, Ronald L. Graham, Hsia, Bill Jacob, Donald G. James, Jerrold L. Stanley J. Gurak, Douglas A. Hensley, Neil B. Kleinstein, David B. Leep, Murray Marshall, Bernard Hindman, James G. Huard, Daniel J. Madden, Kevin R. McDonald, Takashi Ono, Arnold K. Pizer, Paul Snow McCurley, Julia Mueller, Melvyn B. Nathanson, Ponomarev, Olga Taussky-Todd, Adrian R. Wadsworth, Don Redmond, Kenneth H. Rosen, John Sadowsky, and joseph L. Yucas. Audrey A. Terras, and John W. Van Horne. Qualitative theory of differential equations, or­ History of contemporary mathematics, organized ganized by GARRET j. ETGEN of the University of by ROY RYDEN and HANK TROPP of Humboldt Houston and KURT KREITH of the University of State University. Fifty-minute talks were given by California, Davis. The speakers were Calvin D. Garrett Birkhoff, Felix E. Browder, Hugh L. Ahlbrandt, Shair Ahmad, Walter Allegretto, john V. Montgomery, Stephen Smale, Harold M. Stark, and Baxley, Moses Boudourides, Geoffrey J. Butler, John John Todd. R. Graef, Philip Hartman, Johnny L. Henderson, Gary History of mathematics, organized by ARTHUR D. Jones, Woo jong Kim, Takasi Kusano, Sung j. Lee, SCHLISSEL of the John Jay College of Criminal Roger T. Lewis, James H. Lightbourne Ill, James S. Justice. The speakers were Paul T. Bateman, George Muldowney, Allan C. Peterson, Binyamin Schwarz, B. Dantzig, Lars Garding, Herman Goldstine, Frank Willie E. Taylor, Jr., William F. Trench, and Norio C. Hoppensteadt, Mark Kac, Kurt Kreith, Jerzy Yoshida. A related "warmup" session was held at Neyman, Clifford A. Truesdell Ill, and Wolfgang R. the Davis campus of the University of California Wasow. prior to the San Francisco meeting. Topics in complex variables, organized by GLENN Elliptic systems in the plane, organized by E. SCHOBER at Indiana University. The speakers ROBERT P. GILBERT of the University of Delaware. were Albert Baernstein II, James E. Brennan, Carl C. The session included the following speakers: A. Kadir Cowen, Jr., David Drasin, Peter L. Duren, Carl H. Aziz, M.S. Baouendi, James L. Buchanan, R. FitzGerald, Wolfgang H. Fuchs, Frederick W. Gehring, Delanghe, Leon Ehrenpreiss, Paul R. Garabedian, Walter Hengartner, David Jerison, Peter jones, William Robert P. Gilbert, Gerard N. Hile, George Chia-Chu E. Kirwan II, Boris Korenblum, Thomas H. MacGregor, Hsiao, Robert A. Hummel, Carlos E. Kenig, David S. Edgar Reich, Allen L. Shields, Stephen Smale, David Kinderlehrer, Peter A. McCoy, Murray H. Protter, A. Stegenga, Ted J. Suffridge, Stefan E. Warschawski, james M. Sloss, and Fran.;ois Treves. and jang-Mei Gloria Wu. Geometric structures on manifolds, organized by Operator algebras and K-theory, organized by MORRIS W. HIRSCH of the University of California, CLAUDE L. SCHOCHET of Wayne State University.

275 The list of speakers is William B. Arveson, Paul F. Dlab, Sidney james Drouilhet 11, Krishan Lal Duggal, Baum, Bruce E. Blackadar, joel Cohen, David Paul W. Eloe, john j. F. Fournier, Richard A. Games, Handelman, Wu-Chung Hsiang, Jerry Kaminker, Calvin George Gasper, Frank Gilfeather, Harry Gonshor, C. Moore, H. Moscovici, William L. Paschke, jonathan jerrold W. Grossman, joe A. Guthrie, Philip j. M. Rosenberg, and Norberta Salinas. There was a Hanlon, Rodney T. Hansen, Ralph Howard, Elaine problem session led by Edward George Effros. M. Hubbard, james E. jamison, jon L. johnson, Differential geometry and global analysis, or· Naoki Kimura, Yvette Kosmann-Schwarzbach, Richard ganized by ALEXANDER P. STONE of the University P. Kubelka, jeanne LaDuke, Gilbert N. Lewis, Fred of New Mexico. The list of speakers is Stephanie B. E. J. Linton, Michael Lord, Bernard L. Madison, W. R. Alexander, David E. Blair, Murray R. Cantor, Thomas Madych, 0. William McClung, Diane Meuser, Walter E. Cecil, Isaac Chavel, Su-shing Chen, B. Y. Dekster, Michaelis, Ruth Miniowitz, M. Zuhair Nashed, James Francis J. Flaherty, Robert B. Gardner, Peter B. R. Nechvatal, Theodore W. Palmer, Kent Pearce, Gilkey, Robert D. Gulliver II, jerry L. Kazdan, Lawrence M. Perko, Wayne B. Powell, Thomas E. Bertram Kostant, Howard A. Osborn, Nirmala Prakash, Price, Jr., K. K. Puri, T. K. Puttaswamy, Don William Shadwick, Theodore Shifrin, Lesley M. Sibner, Rawlings, Charles S. Rees, Arthur L. Rubin, Donald Robert J. Sibner, William L. Taber, jaak Yilms, and Rung, Subhash C. Saxena, Stephen A. Saxon, Philip Brigitte Wettstein. W. Schaefer, Alan H. Schoen, Brian M. Scott, Gary Seitz, David S. Shucker, Kyle Siegrist, justin R. Contributed Paper Sessions. There were seventy· Smith, Robert Speiser, Chen-Han Sung, Douglas W. two scheduled sessions of contributed ten-minute Townsend, Randall K. Walters, Daniel Waterman, papers. There were five sessions of late papers and Biii,Watson, Ed Waymire, and Gary Weiss. numerous withdrawn papers and rescheduled papers; the policy allowing late and rescheduled papers is Kenneth A. Ross discussed in this issue of the Notices, page 222. The Eugene, Oregon Associate Secretary presiding officers for these seventy-seven sessions were Hyun joon Ahn, Agnes Andreassian, Peter F. Ash, Ruth A. Bari, j. Thomas Beale, jonathan Bell, Council and Business Meetings Louis H. Blake, Steven A. Bleiler, Brian Bourgeois, The Secretary's report of the Council Meeting David G. Bourgin, Stephanie M. Boyles, joel V. held on january 6 and of the Business Meeting held Brawley, Gerald R. Chachere, Theodore S. Chihara, on January 8 appeared on page 201 of the February Ching Chou, james E. Daly, Lokenath Debnath, Y. j. 1981 Notices.

LECTURES IN APPLIED MATHEMATICS

ALGEBRAIC AND GEOMETRIC METHOOS Contributors to the book are: IN LINEAR SYSTEMS THEORY Roger Brockett Michie! Hazewinkel edited by Christopher I. Byrnes and Clyde F. Martin Christopher I. Byrnes and Robert Hermann Tyrone E. Duncan L. R. Hunt The papers contained in this volume were pre· G. Conte and Edward W. Kamen sented as research papers at the AMS-NASA-NATO A. M. Perdon Amr S. Khadr and Summer Seminar on Algebraic and Geometric David F. Delchamps Clyde F. Martin Methods in Linear Systems Theory, held at Harvard Shmuel Friedland P. S. Krishnaprasad University in june 1979. They represent cross­ M. L. J. Hautus Chang-Huan Liu and sections of four broad methodologicdl areas of mathe­ M. L. J. Hautus and Steven I. Marcus matical systems theory-algebraic geometric and Eduardo D. Sontag J. Murray topological techniques, Lie algebraic techniques, Diederich Hinrichsen and Leiba Rodman algebraic techniques, and real and complex analytic Dieter Pratzei-Wolters techniques-and complemented the tutorial lectures Volume 18, viii + 327 pages (hard cover) of the Advanced Study Institute. This workshop List price $12.40, institutional member $9.30, individual member $6.20 was jointly supported by a grant from Ames Re­ ISBN 0·8218·1118·5; LC 80·27354 search Center-NASA and a grant from the Advanced Publication date: january 1980 Study Institute Program of NATO. To order, please specify LAM/18N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

276 Officers of the Society, 1980 and 1981

Except for the Members-at-Large of the Council, the month and year of the first term and the end of the present term are given. For Members-at-Large of the Council, the last year of the present term is listed. COUNCIL Presidents: Peter D. Lax 1/79-12/80 Associate Secretaries Andrew M. Gleason 1/81-12/82 Raymond G. Ayoub 1/77-12/82 Ex-president: Peter D. Lax 1/81-12/81 Paul T. Bateman 1/67-12/81 Vice Presidents Frank T. Birtel 1/77-12/82 Hyman Bass 1 /80-12/81 Kenneth A. Ross 1/71-12/81 Paul R. Halmos 1/81-12/82 Treasurer George D. Mostow 1/79-12/80 Franklin P. Peterson 8/73-12/82 Mary Ellen Rudin 1/80-12/81 Associate Treasurer Secretary: Everett Pitcher 1/67-12/82 Steve Armentrout 7/77-12/82 Members-at-large All terms are for 3 years and expire on December 31 of the given year 1980 1981 1982 1983 Joan S. Birman Chandler Davis Frederick W. Gehring Donald L. Burkholder Lenore Blum Robert P. Gilbert Lee Lorch Alan J. Hoffman James A. Donaldson Ronald L. Graham* Richard S. Millman Linda Keen Murray Gerstenhaber Johan H. B. Kemperman Marian B. Pour-EI 0. Carruth McGehee Ronald L. Graham Karen Uhlenbeck David A. Sanchez Paul J. Sally, Jr. Daniel H. Wagner Publications and Communications Committees Bulletin Editorial Committee Representatives on American Journal of Mathematics Felix E. Browder 1/78-12/83 Victor W. Guillemin 1/78-12/83 Meyer Jerison 1/80-12/82 Richard G. Swan 5/77-12/82 I. M. Singer 1/79-12/81 Mathematical Reviews Editorial Committee Proceedings Editorial Committee Paul T. Bateman 9/77-12/82 Thomas H. Brylawski 1/80-12/84 Elwyn R. Berlekamp 1/79-12/81 Ronald G. Douglas 1/77-12/80 Carl M. Pearcy 3/78-12/83 David Eisenbud 1/78-12/81 Mathematical Surveys Editorial Committee William E. Kirwan II 1/80-12/83 Donald W. Anderson 1/79-12/81 David J. Lutzer 1/80-12/83 R. James Milgram 1/77-12/82 Robert R. Phelps 1/78-12/81 Jane Cronin Scanlon 1/78-12/83 Reinhard E. Schultz 1/80-12/83 Mathematics of Computation Editorial Committee Lawrence A. Zalcman 1/79-12/82 James H. Bramble 1/73-12/83 Transactions and Memoirs Editorial Committee Carl de Boor 1/77-12/82 Michael Artin 1/79-12/82 Walter Gautschi 1/75-12/80 W. A. J. Luxemburg 4/77-12/81 Morris Newman 1/81-12/83 Jan Mycielski 1/80-12/83 Daniel Shanks 1/79-12/81 Steven Orey 1/79-12/82 Colloquium Editorial Committee Paul H. Rabinowitz 1/80-12/83 John W. Milnor 1/79-12/81 James D. Stasheff 1/78-12/81 Stephen Smale 1/78-12/83 R. 0. Wells, Jr. 1/79-12/82 Elias M. Stein 1/77-12/82 Chairman, Committee to Monitor Problems in Communication Philip T. Church 1/80-12/80 Robert G. Bartle 1/81-12/81 BOARD OF TRUSTEES Steve Armentrout (ex officio) 7/77-12/82 Richard S. Palais 1/72-12/81 Andrew M. Gleason (ex officio) 1/81-12/82 Franklin P. Peterson Joseph J. Kohn 1/78-12/82 (ex officio) 8/73-12/82 Peter D. Lax (ex officio) 1/79-12/80 Alex Rosenberg 1/74-12/83 Cathleen S. Morawetz 1/76-1 2/85 P. Emery Thomas 1/80-12/84

*Member-at-large during 1981, as provided for in Article 7, Section 4 (last sentence) of the Bylaws of the Society.

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278 Colloquium Publications 39. Stncture and representations of Jordan algebras by N. Jacobson, 1968, 455 pp. (LC 67-21813: ISBN 0-8218-1039-1) COLL/39 21.20

Lectures in Applied Mathematics 5. Space mathematics, Part I by G. Contopoulos. J. Danby. A. Fletcher. B. Garfinkel. P. Message, H. Pollard. P. Richards. V. Szebehely. J. Vinti: edited by J. B. Rosser (Cornell University. Ithaca. New York. July 1-Au[!ust 9. 1963). 1966. reprinted 1979. 312 pp. (LC 66-20435: ISBN 0-8218-1105-3) Soft cover LAM 5 28.40 6. Space mathematics, Part 2 by A. Deprit. W. Guier. M. Hestenes. P. Message. J. O'Keefe. E. Rabe, J. Vries: edited by J. B. Rosser. (Cornell University. Ithaca. New York, July 1-August 9, 1963), 1966, reprinted 1974. 258 pp. (LC 66-20437: ISBN 0-8218-1106-1) LAM 6 18.00 14. Madle•atical problems Ia the aeopltyslcalsclences. 2. la•erse problems, dyaamo theory, and tides by G. E. Backus, F. Gilbert, R. S. Lindzen. W. V. R. Malkus, G. W. Platzman. P. H. Roberts, K. Stewartson: edited by W. H. Reid, (Rensselaer Polytechnic Institute. Troy. New York. July 6-31. 1970), 1971. 370 pp. (LC 62-21481: ISBN 0-8218-1114-2) LAM/14 25.60

Memoirs of the American Mathematical Society I. Open mappings on locally compact spaces by G. T. Whyburn, 1950: reprinted 1969, 26 pp. (ISBN 0-8218-1201-7) MEMO/I s 4.40 27. The generalized PontJjagin cohomology operations and rings with divided powers by (P.) E. Thomas. 1957: reprinted 1968. 82 pp. (ISBN 0-8218-1227-0) MEM0/27 4.80 28. Cohomology groups and genera of higher-dimensional fields by E. Snapper, 1957: reprinted 1971. 100 pp. (ISBN 0-8218-1228-9) MEM0/28 4.80 29. Twisted polynomial hyperalgebras by E. Halpern, 1958: reprinted 1972. 61 pp. (ISBN 0-8218-1229-7) MEM0/29 6.00 32. Translation lattices by R. S. Pierce. 1959: third printing 1978: 66 pp. (ISBN 0218-1232-7) MEM0/32 8.80 44. An examination of a decision procedure by F. C. Oglesby, 1962: reprinted 1971, 148 pp. (ISBN 0-8218-1244-0) MEM0/44 5.60 52. Galois theory and cohomology of commutative rings by S. U. Chase, D. K. Harrison, A. Rosenberg. i965: third printing 1978: 79 pp. (ISBN 0-8218-1252-1) MEM0/52 5.60 54. Generalizations of a theorem of Caratheodory by J. R. Reay. 1965, 50 pp. (ISBN 0-8218-1254-8) MEM0/54 4.40 55. Foundations of relative homological algebra by S. Eilenberg and J. C. Moore, 1965: reprinted 1966. 39 pp. (ISBN 0-8218-1255-6) MEM0/55 4.40 58. A Hankel convolution complex inversion theory by F. M. Cholewinski. 1965, 67 pp. (ISBN 0-8218-1258-0) MEM0/58 4.40 60. Tonloa Ia SU-IIonllsm by P. E. Conner and E. E. Floyd, 1966; reprinted 1969, 74 pp. (ISBN 0-8218-1260-2) MEM0/60 4.80 61. A •• fonMiad011 of particle mecllaulcs by R. T. Prosser, 1966, reprinted 1980, 57 pp. (ISBN 0-8218-1261-0) MEM0/61 6.00 63. Prejecdons Ollto translatto.IMarlaat .-.,aces of ll'(G) by H. P. Rosenthal, 1966, 84 pp. (ISBN 0-8218-1263-7) MEM0/63 4.40 64. DefomatiOII theory of psndoaroup ltnctllrea by V. Guillemin and S. Sternberg, 1966, 80 pp. (ISBN 0-8218-1264-5) MEM0/64 4.40 65. 011 tile ..-ratloa of -.,laar • .,. by W. G. Brown, 1966, 42 pp. (ISBN 0-8218-1265-3) MEM0/65 4.40 66. Tile llllllecldabillty of the do•illo prolllem by R. Berger, 1966, 72 pp. (ISBN 0-8218-1266-1) MEM0/66 4.40 67. Tile ..,.led alprldlal of Jacalti-Perroa by L. Bernstein, 1966, 44 pp. (ISBN 0-8218-1267-X) MEM0/67 4.40 69. Aaalydc COIItiuaatiOII of tile lrrediiCIWe llllitary repre1Htatl0111 of die uaiYeraal COYeriaa .,... of SL(l, R) by P. J. Sally, Jr., 1967, 94 pp. (ISBN 0-8218-1269-6) MEM0/69 4.40 73. Two papers oa si•Uarlty of certala Volterra illtearal operatora by S. J. Osher, 1967, 47 pp. (ISBN 0-8218-1273-4) MEM0/73 4.40 75. Locally c..,.ct t1'8111fo1111ati011groups Md C*-alpllras by E. G. Etrros and F. Hahn, 1967, 92 pp. (ISBN 0-8218-1275-0) MEM0/75 4.40

279 76. A dau of fuctioaal e~~uatlou of ~~e~~tral type by J. K. Hale and K. R. Meyer, 1967, 65 pp. (ISBN 0-8218-1276-9) MEM0/76 4.40 78. Measurable, coatilluous alld 111100tll Yecton for semilfOUPs aad ll'OIIP representati011s by R. T. Moore, 1968, 80 pp. (ISBN 0-8218-1278-5) MEM0/78 4.40 82. Coltoalology of coalgebras by D. W. Jonah. 1968, 73 pp. (ISBN 0-8218-1282-3) MEM0/82 4.40 85. Detljoy iategration ia abstract •ace• by D. W. Solomon, 1969. 69 pp. (ISBN 0-8218-1285-0) MEM0/85 4.40 86. Soullbloid alld ualytic sets in a pneral setting by A. H. Kruse, 1969, 127 pp. (ISBN 0-8218-1286-6) MEM0/86 4.40 89. Foraalized recursiYe fuctiOIIals aad foraalized realizability by S. C. Kleene, 1969, 106 pp. (ISBN 0-8218-1289~) MEM0/89 5.20 90. Aa extension of Mackey's asetllod to Baaach •-algeltrak .._.les by J. M. G. Fell, 1969. 168 pp. (ISBN 0-8218-12904) MEM0/90 4.80 91. A coafo,_al mappiag techniqlle for iallnltely coaectecl regl0111 by M. G. Arsove and G. Johnson, Jr .• 1970. 56 pp. (ISBN 0-8218-1291-2) MEM0/91 4.00 92. Dollllly tJ.elike surfaces by J. K. Beem and P. Y. Woo, 1969, 115 pp. (ISBN 0-8218-1292-0) . MEM0/92 4.40 93. Hittlag probaiiiHtles of single polats for processes with statloury lndepelldeat lncre­ _.tl by H. Kesten. 1969, 129 pp. (ISBN 0-8218-1293-9) MEM0/93 4.80 95. Equivariant maps of spheres into the classical groups by J. Folkman, 1971, 42 pp. (ISBN 0-8218-1295-5) MEM0/95 4.40 96. Intrinsic measures on complex manifolds and holomorphic mappings by D. A. Eisenman, ,, 1970, 80 pp. (ISBN 0-8218-1296-3) MEM0/96 4.00 97. Isometric embeddings of Riemannian and pseudo-Riemannian manifolds by R. E. Greene, 1970, 63 pp. (ISBN 0-8218-1297-1) MEM0/97 4.00 I~ 98. Similarity of automorphisms of the torus by R. L. Adler and B. Weiss, 1970, 43 pp. (ISBN 0-8218-1298-X) MEM0/98 4.00 99. Properties of planar graphs with uniform ¥ertex and face structure by J. Malkevitch, 1970, 116 pp. (ISBN 0-8218-1299-8) MEM0/99 4.40 103. Unoriented bordism and actions of finite groups by R. E. Stong, 1970, 80 pp. (ISBN 0-8218-1803-1) MEM0/103 4.00 104. Octonion planes defined by quadratic Jordan algebras by J. R. Faulkner, 1970. 71 pp. (ISBN 0-8218-1804-X) MEM0/104 4.00 105. Compactly co¥ered reflections, extension of uniform dualities and generalized almost periodicity by M. H. Powell, 1970, 235 pp. (ISBN 0-8218-1805-8) MEM0/105 4.80 106. Numbers with small prime factors, and the least kth power non-residue by K. K. Norton, 1971. 106 pp. (ISBN 0-8218-1806-6) MEM0/106 4.40 107. Cellular decompositions of 3-manifolds that yield 3-manifolds by S. Armentrout, 1971, 72 pp. (ISBN 0-8218-1807-4) MEM0/107 4.00 I 09. Asymptotic beha¥ior of solutions and adjunction fields for nonlinear first order differential equations by W. Strodt and R. K. Wright, 1971, 284 pp. (ISBN 0-8218-1809- 0) MEM0/109 5.20 ItO. Abelian subalgebras of 'on NeumaM algebras by D. Bures, 1971, 127 pp. (ISBN 0-8218-1810-4) MEMO/ItO 4.40 112. On the mixed problem for a hyperbolic equation by T. Balaban, 1971. 117 pp. (ISBN 0-8218-1812-0) MEM0/112 4.40 113. ln¥ariant differential operators and the cohomology of Lie algebra shea¥es by F. W. Kamber and P. Tondeur, 1971. 125 pp. (ISBN 0-8218-1813-9) MEM0/113 4.40 I/ 114. Mixing sequences of random ¥ariables and probabilistic number theory by W. Philipp, 1971, 102 pp. (ISBN 0-8218-1814-7) MEM0/114 4.00 10 115. Structures in topology by D. Harris, 1971, 96 pp. (ISBN 0-8218-1815-5) MEM0/115 4.00 117. Extensions of positi¥e-definite functions by J. R. McMullen, 1972, 71 pp. (ISBN 0-8218-1817-1) MEM0/117 4.00 118. The Caucby-Goursat problem by P. DuChateau, 1972, 60 pp. (ISBN 0-8218-1818-X) MEM0/118 4.00 119. Ordered structures and partitions by R. P. Stanley, 1972, 104 pp. (ISBN 0-8218-1819- 8) MEM0/119 4.00 II 121. Trellis theory by H. Skala, 1972, 42 pp. (ISBN 0-8218-1821-X) MEM0/121 4.40 162. Minimal degrees of unsohability and the fuU approximation construction by R. L. Epstein, 1975, 136 pp. (LC 75-20308; ISBN 0-8218-1862-7) MEM0/162 7.20 163. Simplicial methods and the interpretation of 'triple' cohomology by J. Duskin, 1975, 135 pp. (LC 75-20008; ISBN 0-8218-1863-5) MEM0/163 7.20

280 164. Extensi011s of posithoe operaton between Banaeh Iattk:es by D. I. Cartwright. 1975, 48 pp. (LC 75-19496; ISBN 0-8218-1864-3) MEM0/164 6.00 169. Multlplien of Peclenea's ideal by A. J. Lazar and D. C. Taylor, 1976, Ill pp. (LC 75-44302: ISBN 0-8218-1869-4) MEM0/169 7.60 170. Panmetrlzed knot theory by S. Ocken, 1976, 114 pp. (LC 76-3641: ISBN 0-8218- 1870-8) MEM0/110 7.60 175. COIItinuous eohomolocy of spaees with two topologies by M. A. Mostow, 1976, 142 pp. (LC 76-25187: ISBN 0-8218-2175-X) MEM0/175 8.00 176. NOIIOICiUation, di~~:OIIju1acy and intqral inequalities by S. Friedland, 1976, 78 pp. (LC 76-25246; ISBN 0-8218-2176-8) MEM0/176 6.80 177. Dimeasion theory for nonsinplar injeeti•e modules by K. R. Goodearl and A. K. Boyle, 1976, 112 pp. (LC 76-26498: ISBN 0-8218-2177-6) MEM0/177 7.20 178. Homogeneous manifolds with nqati•e eunature. Part II by R. Azeneott and E. N. Wilson, 1976, 102 pp. (LC 76-44403: ISBN 0-8218-2178-4) MEM0/178 7.20 T 180. Unitary repre11ntations of maximal panbolk: sub1roaps of the cluslcal 1roups by J. A Wolf, 1976, 193 pp. (LC 76-44397; ISBN 0-8218-2180-6) MEM0/180 8.40 17 185. Groups with SteiabeFR relations aad coordlnatizatioa of poiYIOIIal 1eometries by J. R. Faulkner, 1977, 135 pp. (LC 77-4192; ISBN 0-8218-2185-7) MEM0/185 8.00 186. Homological localization towen for IFOUPS aad n-modules by A. K. Bousfield, 1977, 68 pp. (LC 77-3716: ISBN 0-8218-2186-5) MEM0/186 7.20 187. Modules with cores aBd amal1amations of illldecomposaiJie modules by R. Gordon and E. L. Green, 1977, 145 pp. (LC 77-3560: ISBN 0-8218-2187-3) MEM0/187 8.00 188. Puactual Hilbert schemes by A. A. larrobino, 1977, 112 pp. (LC 77-3947: ISBN 0-8218-2188-I) MEM0/188 7.60 189. On dqenentions of al1ebnic surfaees by U. Persson, 1977, 144 pp. (LC 77-8972; ISBN 0-8218-2189-X) MEM0/189 8.00 IZ.. 191. Su•ry oa codimension l submanifolds by M. H. Freedman, 1977, 93 pp. (LC 77-23944; ISBN 0-8218-2191-1) MEM0/191 7.20 192. Unn•elinl the illltqnl knot conc:ordanee 1roup by N. W. Stoltzfus, 1977, 91 pp. (LC 77-10133; ISBN 0-8218-2192-X) MEM0/192 7.20 194. On the •mber of simply COIIIIectecl minimal surfaees spannln1 a eune by A. J. Tromba, 1977. 121 pp. (LC 77-12180: ISBN 0-8218-2194-6) MEM0/194 7.60 196. Local su•ry aad the exact sequenee of a localization for Wall groups by William Pardon. 1977. 171 pp. (LC 77-11963: ISBN 0-8218-2196-2) MEM0/196 8.40 Proceedings of Symposia in Applied Mathematics

2. Electromagnetic: theory by R. J. Duffin, E. Feenberg, H. Feshbach, A. E. Heins. L. lnfe1d, M. Kac, Y. W. Lee, C. L. Pekeris. E. G. Ramberg, S. 0. Rice, A. F. Stevenson, J. L. Synge, A. H. Taub, R. Truell, H. Wallman, W. H. Watson, N. Wiener: edited by A. H. Taub (Massachusetts Institute of Technology, July 1948), 1950. 91 pp. (ISBN 0-8218-1302-1) PSAPM/2 9.60 t3 5. Wan motion and dbration theory by W. Bleakney, G. F. Carrier, S. Chandrasekhar, R. J. Duffin, H. Feshbach, P. R. Garabedian, J. M. Greenberg, A. E. Heins, E. H. Lee, S. Lefschetz, H. Levine, C. C. Lin, W. Magnus, N. W. Mclachlan, E. W. Montroll. W. H. Munk, A . Schild, J. J. Stoker, A. Weinstein; edited by A. E. Heins (Carnegie Institute of Technology, June 1952), 1954, 169 pp. (ISBN 0-8218-1305-6) PSAPM/5 13.20 /3 Proceedings of Symposia in Pure Mathematics 13.2. Axionaatie set theory by J. W. Addison, S. Feferman, H. Gaifman, R. 0. Gandy, S. Garland, P. C. Gilmore. S. Hechler, R. B. Jensen, A. R. D. Mathias, J. Myhill, edited by T. J. Jech (University of California. Los W. N. Reinhardt, D. Scott; 26.8o An!!eles. July 1967). 1974. 226 pp. (LC 78-125172: ISBN 0-8218-0246-1) PSPUM 13.2 I\ 18.1. Nonlinear functional analysis by E. Asplund, M. S. Berger, H. Brezis, L. Cesari. J. Cronin, J. Eells, Jr .. K. D. Elworthy, D. G. de Figueiredo, H. Fujita. B. R Halpern, G. S. Jones, L. A. Karlovitz, T. Kato. W. A. Kirk, J. L. Lions, U. Mosco, R. S. Palais. W. V. Petryshyn, P. H. Rabinowitz. R. T. Rockafellar, E. H. Rothe. G. Stampacchia, W. A. Strauss, A. J. Tromba: edited by F. Browder (Chicago, April 1968), 1970, 296 pp. (LC 73-91392; ISBN 0-8218-0243-7) PSPUM/18.1 19.60 t'f" 21. Representation theory of finite groups and related topics by C. T. Benson, R. Brauer, N. Burgoyne, E. Cline. M. J. Collins, S. B. Conlon, C. W. Curtis, E. C. Dade, L. Dornhoff. A. Dress, P. Fong, T. V. Fossum, P. X. Gallagher, D. M. Goldschmidt, J. A. Green, L. C. Grove. K. Harada, D. G. Higman. I. M. Isaacs, N. Ito, H.

281 Jacobinski. G. J. Janusz, R. Kilmoyer. T. Kondo, K. Kronstein, T. Y. Lam, J. H. Lindsey II. L. A. Nazarova, D. S. Passman, l. Reiner, W. F. Reynolds, K. W. Roggenkamp, A. V. Rolter, L. Scott, L. Solomon, T. A. Springer, R. G. Swan, D. Wales, W. D. Wallis. D. Wigner. W. J. Wong, J. R. Zemanek; edited by I. Reiner (University of Wisconsin, Madison, April 1970), 1971, 178 pp. (LC 79-165201; ISBN 0-8218-1421-4) PSPUM/21 16.00 b SIAM - AMS Proceedings I. Tl'llllsport theory by l. K. Abu-Shumays, E. H. Bareiss, G. l. Bell, R. Bellman, G. Birkhoff, K. M. Case, C. Cercignani, N. Corngold, J. A. Davis, E. A. Frieman, E. M. Gelbard, H. Grad, L.A. Hageman, H. H. Kagiwada, R. E. Kalaba, M. H. Kalos, M. Krook, J. E. Moyal, T. W. Mullikin, R. K. Osborn, G. Rybicki, G. M. Wing; edited by I. K. Abu-Shumays, R. Bellman, G. Birkhoff (New York City, April 1967), 1969, 327 pp. (LC 68-23112; ISBN 0-8218-1320-X) SlAMS/I $16.40 2. Numerk:al solution of field problems in continuum physics by A. Arakawa, G. Birkhoff, J. H. Bramble, R. W. Clough, J. Douglas, Jr., T. Dupont, C. A. Felippa, G. Fix, A. F. Henry, D. K. Lilly, J. L. Lions, K. W. Morton, T. H. H. Pian, T. A. Porsching, H. S. Price, H. H. Rachford, Jr., H. L. Stone, V. Thomee, R. S. Varga, 0. B. Widlund, E. L. Wachspress; edited by G. Birkhoff and R. S. Varga (Durham, North Carolina, April 1968), 1970, 280 pp. (LC 75-92659; ISBN 0-8218-1321-8) SIAMS/2 15.60 f"], 3. Mathematical aspects of electrical network analysis by R. K. Brayton, R. W. Brockett, D. A. Calahan, S.-P. Chan, R. J. Duffin, R. J. Leake, R. Liu, R. Rohrer, J. P. Roth, R. Sacks. l. W. Sandberg, R. A. Skoog, P. Varaiya, D. H. Wolaver, D. C. Youla, J. W. T. Youngs: edited by F. Harary and H. S. Wilf (New York City, April 1969), 1971. 206 pp. (LC 79-167683; ISBN 0-8218-1322-6) SIAMS/3 14.80 r 5. Mathematical aspects of statistical mecllanlcs by F. J. Dyson, J. Ginibre, R. B. Griffiths, 0. E. Lanford III, D. W. Robinson, D. Ruelle, M. Takesaki; edited by J. C. T. Pool (New York City, April 1971), 1972, 90 pp. (LC 72-321: ISBN 0-8218-1324- n mAMM 12.00 /3 6. Stochastic dlll'erential equations by R. S. Bucy, W. H. Fleming, B. W. Knight, M. Lax, H. P. McKean, J. McKenna, J. A. Morrison, G. C. Papanicolaou, P. Varaiya; edited by J. B. Keller and H. P. McKean (New York City, March 1972), 1973, 210 pp. (LC 72-13266: ISBN 0-8218-1325-0) SIAMS/6 22.00 8. Mathemltical aspects of chemical aad biochemical problems aad quantum chemistry by N. R. Amundson. R. Aris, F. Horn, L. N. Howard, J. C. Keck, H. B. Keller, N. Kopel/, G. Nicolis, S. Viswanathan, A. T. Winfree; edited by D. S. Cohen (New York City, April 1974), 1974, 160 pp. (LC 74-26990; ISBN 0-8218-1328-5) SIAMS/8 18.00 1 Proceedings of the Steklov Institute. of Mathematics

82. Ergodic problems in the theory of congruences and of diophantine approximations ( 1966) by A. G. Postnikov. 1967, 128 pp. (ISBN 0-8218-1882-1) STEKL0'82 18.00 88. Approximation of functions in the mean ( 1967), edited by S. B. Steck in. 1969, 139 pp. (ISBN 0-8218-1888-0) STEKL0/88 22.80 91. Boundary problems for differential equations (1967). edited by V. P. Mihallov, 1969, 178 pp. (ISBN 0-8218-1891.{)) STEKL0/91 26.80 94. Extremal problems of the geometric theory of functions (1968), edited by Ju. E. Alenicyn, 1969, 167 pp. (ISBN 0-8218-1894-5) STEKL0/94 24.80 96. Automatic programming, numerical methods, and functional analysis (1968), edited by V. N. Faddeeva. 1970, 323 pp. (ISBN 0-8218-1896-1) STEKL0/96 26.40 97. The Milne problem with anisotropic scattering (1968) by M. V. Maslennikov, 1969, 161 pp. (ISBN 0-8218-1897-X) STEKL0/97 24.00 98. The calculi of symbolic logic. I. (1968). edited by V. P. Orevkov, 1971. 229 pp. (ISBN 0-8218-1898-8) STEKL0/98 25.60 99. Limits of indeterminacy in measure of trigonometric and orthogonal series (1967) by D. E. Men'sov. 1968, 67 pp. (ISBN 0-8218-1899-6) STEKL0/99 12.40 104. Studies in mathematical statistics (1968), edited by Ju. V. Linnik. 1971. 260 pp. (ISBN 0-8218-3004-X) STEKL0/104 22.80 105. Theory and applications of differentiable functions of se¥eral Yariables. III (1969), edited by S. M. Nikol'skil. 1971. 295 pp. (ISBN 0-8218-3005-8) STEKLOtlOS 25.20 106. Parametric normed spaces and normed massiYes (1969) by K. K. Golovkin, 1971, 128 pp. (ISBN 0-8218-3006-6) STEKL0/106 21.60 108. lnfinit~mensional Gaussian distributions (1968) by Ju. A. Rozanov. 1971: reprinted 1977. 161 pp. (ISBN 0-8218-3008-2) STEKLO."I08 16.80

282 135. International conference on mathematical problems of quantum field theory and quantum statistics. I. Axiomatic quantum field theory (1975). edited by V. S. Vladimirov. 1978. 264 pp. (LC 78-6757; ISBN 0-8218-3035-X) STEKL0/135 50.00 137. C-types of n-ilimensionallattices and 5-dimensional primitive paraUelohedra (with application to the theory of coverings)(l976). by S.S. Ryskov and E. P. Baranovskil, 1978, 140 pp. (LC 78-21923; ISBN 0-8218-3037-6) STEKL0/137 40.00

Transactions of the Moscow Mathematical Society

13. (1965) A. V. Arhangel'skil, A. A. Juskevic, G. I. Kac, N. V. Krylov, B. A. Pasynkov, I. Z. Rozenknop. M.G. Sur, E. B. Vinberg, 1967, 381 pp. (ISBN 0-8218-1613-6) MOSCOWIIJ 26.00 19. (1968) I. A. Berezanskil, M. G. Gasymov, R. A. Minlos, V. I. Oseledec. L. A. Sahnovic. Ja. G. Sinal, E. G. Sul'gelfer, 1969, 332 pp. (ISBN 0-8218-1619-5) MOSCOW/19 22.40 20. (1969) Ju. A. Dubinskil, V. M. Kagan. V. L. Levin. E. V. Malkov. M. B. Maljutov, V. G. Maz'ja. P. K. Rasevskil, B. Ju. Velsfeller. L. R. Volevic. 1971. 283 pp. (ISBN 0.8218-1620-9) MOSCOW'20 33.60 21. (1970) L. A. Alzenberg, V. I. Arnol'd, Ju. M. Berezanskil. G. I. Eskin. Ju. S. Kolesov. D. E. Men'Sov. B. M. Rudyk, 1971, 316 pp. (ISBN 0-8218-1621-7) MOSCOW 21 29.20 22. (1970) M. S. Burgin. M. M. Cohan, V. Ja. Golodec. D. P. Mil'man. A. S. Svarc, 1972, 280 pp. (ISBN 0.8218-1622-5) MOSCOW 22 26.00

Translations of Mathematical Monographs

6. Harmonic analysis of functions of several complex variables in the classical domains by L. K. Hua; translated by L. Ebner and A. Koranyi, 1963; revised 1979; 186 pp. (LC 63-16769; ISBN 0-8218-1556-3) Soft cover MMON0/6 19.60 lg II. Probabilistic methods in the theory of numbers by J. Kubilius; translated by G. Burgie and S. Schuur, 1964; third printing 1978, 182 pp. (LC 63-21549; ISBN 0-8218-1561-X) Soft cover MMONOill 19.20 II 13. AdditiYe theory of prime numbers by L. K. Hua; translated by N. H. Ng, 1965; reprinted 1966. 190 pp. (LC 62-23103; ISBN 0-8218-1563-6) MMON0/13 16.40 q 15. Intrinsic geometry of surfaces by A. D. Aleksandrov and V. A. Zalgaller; translated by J. M. Danskin, 1967, 327 pp. (LC 66-30492; ISBN 0-8218-1565-2) MMONOil5 17.20 i 17. Expansions in eigenfunctions of selfadjoint operators by Ju. M. Berezanskil; translated by R. Bolstein. J. M. Danskin, J. Rovnyak, L. Shulman. 1968, 809 pp. (LC 67-22347; ISBN 0-8218-1567-9) MMON0/17 37.60 rs 19. The operator of translation along the trajectories of dift'erentlal equations by M. A. Krasnosel'skil; translated by Scripta Technica, 1968, 294 pp. (LC 67-22349; ISBN 0.8218-1569-5) MMON0/19 20.80 to 20. Statistical problems with nuisance parameters by Ju. V. Linnik; translated by Scripta I" Technica, 1968, 258 pp. (LC 67-30101; ISBN 0.8218-1570.9) MMON0/20 17.20 'J 21. Constructive real numbers and function spaces by N. A. Sanin; translated by E. Mendelson, 1968, 325 pp. (LC 68-19437; ISBN 0.8218-1571-7) MMON0/21 23.20 f 25. Mahler's problem in metric number theory by V. G. Sprind:Zuk; translated by B. Volkmann, 1969, 192 pp. (LC 73-86327; ISBN 0.8218-1575-X) MMON0/25 13.60 q 27. The Stefan problem by L. I. Rubinstein; translated by A. Solomon. 1971. 419 pp. (LC 75-168253; ISBN 0-8218-1577-6) MMON0/27 30.80 II 28. The functional method and its applications by E. V. Voronovskaja; translated by R. P. Boas, 1970, 204 pp. (LC 70-138816; ISBN 0.8218-1578-4) MMON0/28 22.00 c; 29. Linear dift'erential equations in Banach space by S. G. Krein; translated by J. M. Danskin, 1972, 390 pp. (LC 71-37141: IS!iN 0-8218-1579-2) . MMON0/29 28.40 1,.1.- 31. Dill'erential equations of the second order with retarded argument. Some problems of tbe theory of vibrations of systems with retardation by S. B. Norkin; translated by L. J. Grimm and K. Schmitt, 1972, 285 pp. (LC 70-37627; ISBN 0-8218-1581-4) MMON0/31 22.00 7 32. Triangular and Jordan representations of linear operators by M. S. Brodskil; translated by J. M. Danskin, 1972, 246 pp. (LC 74-162998; ISBN 0-8218-1582-2) MMON0/32 18.40 1 33. Dynamics of nonholonomic systems by Ju. I. Nelmark and N. A. Fufaev; translated by J. B. Barbour, 1972, 518 pp. (LC 72-3274; ISBN 0-8218-1583-0) MMON0/33 50.40 + 34. Operators, osciUations, wa¥es by M. S. Livsic; translated by Scripta Technica Ltd., 1973, 274 pp. (LC 72-11580; ISBN 0-8218-1584-9) MMON0/34 26.00 g

283 35. Extrinsic geometry of conYex surfaces by A. V. Pogorelov; translated by Israel Program for Scientific Translations. 1972. 669 pp. (LC 72-11851; ISBN 0-8218-1585-7) MMON0/35 44.40 q- 36. Theory of con~ex programming by E. G. Goi'Steln; translated by K. Makowski; translation edited by R. T. Rockafellar. 1972. 57 pp. (LC 72-3180; ISBN 0-8218-1586-5) MMON0/36 13.60 37. Foundations of a structural theory of set addition by G. A. Freiman; translated by ~ B. Volkmann. 1973. 108 pp. (LC 73-9804; ISBN 0-8218-1587-3) MMON0/37 20.00 42. Direct and innne imbedding theorems by L. D. Kudrjavcev; translated by S. Smith, 1-- 1974. 205 pp. (LC 73-22139; ISBN 0-8218-1592-X) MMON0/42 26.40 s 45. Matrix groups by D. A. Suprunenko: translated by Israel Program for Scientific Translations; translation edited by K. A. Hirsch. 1976. 252 pp. (LC 75-45115; ISBN 0-8218-1595-4) MMON045 31.20 l (o 46. Projection-iterati~e methods for solution of operator equations, by N. S. Kurpel'; translated by Israel Program for Scientific Translations; translation edited by R. G. Douglas. 1976. 196 pp. (LC 76-17114: ISBN 0-8218-1 596-2) MMON0:46 24.8o 11 47. Stochastic approximation and recursi~e estimation, by M. B. Nevel'son and R. Z. Has'minskil; translated by Israel Program for Scientific Translations: translation edited by B. Silver. 1976, 244 pp. (LC 76-48298; ISBN 0-8218-1597-0) MMON0147 30.40 re; 49. UniY~Ient functions and orthonormal systems by I. M. Milin; translated by Israel Program for Scientific Translations; translation edited by P. L. Duen. 1977. 202 pp. (LC 77-1198; ISBN 0-8218-1599-7) MMON0/49 27.20 q 51. Equations of mixed type by M. M. Smirnov; translated by Israel Program for Scientific Translations, 1978, 232 pp. (LC 78-8260; ISBN 0-8218-4501-2) MMON0'51 27.20 l1- MRTHEMRTICRL SCIENCES 1Q81 administrative directory • PROFESSIONAL MATHEMATICAL ASSOCIATIONS • ACADEMIC INSTITUTIONS- DEPARTMENTS IN THE MATHEMATICAL SCIENCES AND OTHER FACILITIES in the U.S., Canada, Central America, and the Caribbean, coded according to the highest degree offered • MATHEMATICAL UNITS IN NONACADEMIC ORGANIZATIONS • HEADS AND KEY PERSONNEL of a selected group of government agencies • EDITORS OF JOURNALS in the mathematical sciences • OFFICERS AND COMMITTEE MEMBERS in more than 25 professional mathematical organizations • AN INDEX OF ACADEMIC INSTITUTIONS $6.00 Publication date: February 20, 1981 Code: ADMDIR/81 R- Prepayment Required american mathematical society p. o. box 1571, annex station. providence. r. i. 02QO 1

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POSITIONS AVAILABLE LOYOLA UNIV. New Orleans LA, Dept. of Math Sciences; Assist. Prof. teaching undergrad Math and Comp Sc up to Assembler Lang; Applied, Numerical Methods, or Computer Mathematics or Computer Science: Instructor or Assistant Applications preferred; Tenure-track, competitive salary and Professor level, tenure·track position available September 1. MA/MS required for Instructor entry. Ph.D. required for fringe benefits; send resume and have three references sent Assistant Professor. Teaching experience and a strong inter· to: Dr. R. T. Mclean, Chairman, Dept. Math Sc, Box 237 est in Computer Science are essential. Applicants without a Loyola Univ, New Orleans, LA 70118; Phone: 504-865-3340; background in Computer Science must be willing to acquire Loyola is an EEO employer. it. Duties will include 12 contact hours of instruction in undergraduate Mathematics and/or Computer Science, The Dept. of Mathematics of the UNIVERSIDAD DE normally Freshman/Sophomore courses. Minimum salary ORIENTE has two positions open for September 1981. $13,500 for 8·month Instructor appointment-negotiable Areas: applied statistics, numerical analysis, operations re· depending on qualifications. Applicants selected to come search, computing science or related fields. Requirements: for an interview must pay some of the cost incurred, with Ph.D. and at least three years of experience. Knowledge of the applicant hired being fully reimbursed. Excellent fringe Spanish is highly desirable (all courses are taught in Spanish). benefit package, including tuition subsidy at the nearby Annual Salary: $28,000 - $36,000 depending on qualifica· Pittsburgh Campus for computer science skill improvement tions and experience, plus fringe benefits including health or a Ph. D. which is required for tenure. Applicants must in· insurance and a small family allowance. Send curriculum elude a stamped, self-addressed 7~ X 1 0~ envelope. The vita (include telephone number) and the names and addres· University is an Equal Opportunity/ Affirmative Action Em· ses of three references to: Prof. S. S. jou, Departamento de ployer. Deadline to apply is May 1, 1981. A detailed resume Matematicas, Universidad de Oriente, Cumana, Venezuela. should be sent to: Dr. Thomas E. Wolf, Chairperson, Depart· ment of Mathematics, Computer Science and Engineering, Numerical Analyst - Applied Mathematician. Applicants UNIVERSITY OF PITTSBURGH AT GREENSBURG, Att: must have Ph.D. in mathematics with a concentration in Dept. MCS J H, Greensburg, PA 1 5601. numerical analysis or applied mathematics and must have demonstrated ability in conducting research on the simula· SUNY, COLL. AT PLATTSBURGH tion and analysis of acoustical phenomena. Position requires DEPT. OF MATHEMATICS, PLATTSBURGH, NY 12901 a normal forty-hour work week with a salary commensurate with qualifications, not to exceed $23,000 per year. Apply One position for teacher of undergraduate mathematics to Mrs. Liverman, Virginia Employment Commission, 222 courses will be available beginning September 1, 1981. While East Queen Street, Hampton, VA 23669 or call the appointment will be for one year, there is a slight pos· 804-722-2841. Equal opportunity employer. sibility of its developing into a tenure·track position. Applf· cants should have a Ph.D. in mathematics and experience with applied mathematics or computer science. UNIVERSITY OF TOLEDO Please send vita and three references to Professor Robert Department of Mathematics Hofer, Chairman, Department of Mathematics, Box 102, Toledo, Ohio 43606 State University College, Plattsburgh, NY 12901, by April 13, The Department invites applications for a tenure-track posi· 1981. Affirmative Action/Equal Opportunity Employer. tion starting September 1981. Rank and salary are dependent on qualifications. A Ph.D. in mathematics or related areas is UNIVERSITY OF CALIFORNIA required (includes candidates who expect to complete the DEPARTMENT OF MATHEMATICS, IRVINE, CA 92717 Ph.D. by September 1981 ). Applicants should be committed to excellence in both teaching and research. Send resume and Position for an Assistant Professor in the Department of three letters of reference to Harvey Wolff, Chairman. The Mathematics. Duties involve undergraduate and graduate University of Toledo is an equal opportunity, affirmative teaching. Research area preferred: Analysis in the broad sense, e.g. Harmonic Analysis, Probability, Mathematical action employer. Physics, with a focus that complements the interests of the existing faculty. Applicants must possess a Ph.D. NIAGARA UNIVERSITY, Department of Mathematics. Tenure·track position available Fall 1981. Rank and salary Send applications, curriculum vitae (work in print or prep· depend on qualifications. Ph.D. in mathematics preferred. aration), a brief description of research plans, and 3 letters Duties include teaching at undergraduate level, research, and of recommendation. Appointment begins on july 1, 1981, service. Send vita and three letters of reference to Francis or later. L. Higman, Chairman, Department of Mathematics, Niagara U. C. Irvine is an Affirmative Action/Equal Opportunity University, Niagara University, NY 14109. Employer. Niagara University is an equal opportunity employer.

28S POSITIONS AVAILABLE MATHEMATICS FACULTY Tenure-track position anticipated for either Assistant or COMPUTER SCIENCE-Assistant Professor level, tenure· Associate Professor of Mathematics, beginning fall, 1981. track appointment to begin August 1981. Joint appointment Requirements: Ph.D. with established record and/or strong with Department of Mathematical Sciences in the School of potential in research; and commitment to excellence in Arts and Sciences and Division of Technical Studies in the teaching, with broad undergraduate teaching interests. School of General Studies and Professional Education. Teach Normal teaching load of two courses per quarter. Depart· variety of computer science and related courses in degree ment offers courses through the Master's level. Competitive programs in Computer Science-Mathematics and Computer salary and excellent fringe benefits. Cleveland State Univer­ Science-Information Science. Ph.D. required in Computer sity is located in the center of an urban community of over Science, Mathematics, or related field. Some industrial ex­ 1.5 million people, with internationally recognized leaders perience desirable. Competitive salary and fringe benefits. in business, education and the arts. Send vitae and at least Send letter of application, curriculum vitae, and references three letters of recommendation to: T. W. Hungerford, by April 1 S, 1981, to Computer Science Search Committee, Chairperson, Mathematics Department, CLEVELAND STATE School of General Studies and Professional Education, UNIVERSITY, 1981 East 24th Street, Cleveland, Ohio SUNY-BINGHAMTON, Binghamton, New York 13901. An 4411 S. Equal opportunity employer M/F/H. equal opportunity/affirmative action employer. Ass't. Prof. of Mathematics. M.S.-degree required; Ph.D. preferred. Applied math. emphasis desired. Tenure-track TRINITY COLLEGE, WASHINGTON, DC appt. Will teach intra. math courses, courses for majors, Applications are invited for a full-time, tenure-track appoint· computer prog., stats. Beg. date Sept. 1981. Send resume, ment at the rank of assistant professor beginning in the transcripts, & 3 rec. letters to Math Search Comm., Person­ 1981-1982 academic year. Trinity College is a liberal arts nel Ofc., UNIV. OF LA VERNE, 1950 Third St., La Verne, college with approximately 1,000 full- and part-time students, CA 91750 by May 1, 1981. EO/AA employer. Salary dep. graduate and undergraduate. The Mathematics Department upon exp. & qual. offers a B.A. program in mathematics with emphases in pure mathematics, computer science or statistics. Ph. D. and teach· ing experience are preferred. Send curriculum vitae and HUNTER COLLEGE names of three references to Dr. Donald Blevins, Head, City University of New York Department of Mathematics, Trinity College, Washington, DEAN OF SCIENCES AND MATHEMATICS DC 20017. An Affirmative Action/Equal Opportunity Em­ ployer. Challenging position available July 1981, in dynamic urban institution. Strong doctoral research programs, extensive federal funding, major commitment to women and minori· NEW COLLEGE OF USF, SARASOTA, FLORIDA: Assistant ties, MBS and MARC programs, stable enrollments, major or Associate Professor in Computer Science. We are seeking expansion of facilities in progress, attractive midtown Man­ a person to initiate and guide computer sciences in our hattan location. Send resume and names of 3 references to liberal arts, honors college setting. Commitment to teaching Chair, Search Committee for Dean of Sciences and Mathe· in such a program and to directing highly motivated under· matics, Box 447, Hunter College, 695 Park Avenue, New graduates are essential. A Ph.D. in computer science or York, New York 10021. related area is required; experience is desirable; salary nego· tiable. The position is funded by a grant the first year. How­ McPHERSON COLLEGE ever, we are seeking to establish a tenure-track position McPherson, KS 67460 which the successful candidate would assume. An AA/EO employer. Contact Prof. Peter A. Kazaks, Chairman, Division Applications invited for faculty position in Dept. of Mathe· of Natural Sciences, New College of USF, Sarasota, Florida matical Sciences to teach introductory and advanced Com· 33580. puter Science. College teaching experience required. Ph.D. preferred; M.A. acceptable. Available September 1981. A CORDIAL INVITATION TO RESEARCH Salary competitive with private colleges in Kansas. Address MATHEMATICIANS AND STATISTICIANS TO VISIT inquiries and send credentials to Dr. Norma Tucker, Vice SANTA BARBARA, CA President for Academic Services, McPherson College, McPherson, KS 67460, or phone (316) 241-0731. The University of California, Santa Barbara, Mathematics An Affirmative Action/Equal Opportunity Employer. Department anticipates making several temporary, part· or full-time, teaching appointments in each of the quarters MICHIGAN TECH UNIV., DEPT OF MATH & COMP SCI during the 1981-1982 academic year. We particularly en· HOUGHTON, Ml 49931 courage visitors with partial sabbatical or grant support. A visitor should be an active research mathematician or statis­ Applications are invited for several positions at all levels. tician with certifiably good teaching skills. We are encourag­ There are limited-term instructorships, for which an M.S. is ing visitors in all areas, although we hope to have a consider· required, and tenure-track positions, for which a Ph. D. is able number of mathematicians and statisticians interested in required. We are looking for people in numerical analysis, the interaction of mathematics and statistics with other dis· statistics, applicable mathematics, differential geometry, ciplines. Please write as candidly as possible concerning your computer science, and other areas of mathematics. Candi· circumstances, background, and financial requirements to: dates for tenure-track positions should show evidence of strong research potential and teaching ability. MTU is located Professor john Ernest, Chairman in Michigan's beautiful Upper Peninsula with excellent oppor· Department of Mathematics tunities for outdoor recreation. Write: Dr. Richard S. UNIVERSITY OF CALIFORNIA Millman, Head. SANTA BARBARA, CA 93106 Michigan Technological University is an equal opportunity An Affirmative Action/Equal Opportunity Employer educational institution/equal opportunity employer.

286 WANTED ISTITUTO NAZIONALE Dl ALTA MATEMATICA FRANCESCO SEVERI Huppert wanted by R. Calcaterra, 2008 E. 1 3 St., Bklyn, ROME- ITALY NY 11229. Recent publications: Free boundary problems PERSONALS Proceedings of a seminar held in Pavia September-October 1979 by: S. Alberton!, H. W. Alt, A. · MATHEMATICAL TYPING. Professional papers, textbooks. Ambrosetti, L. Amerio, I. Athanasopouios, C. Baiocchi, J. F. Fairbrother, Box 1095, Arroyo Grande, CA 93420. Bear, M. Biroli, P. Boieri, C. M. Brauner, H. Brezis, M. Bulgarelli, L. A. Caffarelli, ). R. Cannon, A. Capelo, G. Capriz, V. Casulli, ). Cea, M. Chipot, G. Cimatti, L. Citrini, FOR SALE L. Collatz, V. Comincioli, B. Coppi, P. Cortey-Dumont, C. W. Cryer, B. D'Acunto, A. Damlamian, E. De Giorgi, A. S. Demidov, E. Di Benedetto, ). Douglas, G. Duvaut, constant processes. Write: THE Synthesize ", ex, c, G •.. Fasano, A. Franchi, ). Frehse, A. Friedman, F. Gastaldi, CONSTANT SOCIETY, P.O. Box 5513, Seattle, WA 98105. A. G. Geymonat, G. Gilardi, B. Glowinski, L. Guerri, C. Guillope, W. Hager, G. D. lanculescu, R. Jensen, S. Kamin, Unbound Math Rev. 1(1940)-54(1977). Best offer, buyer ). L. Lions, P. L. Lions, G. Maier, U. Maione, G. Meyer, pays shipping. S. S. Cairns, Math Dept, U of I, Urbana, 1L ). C. Miellou, M. Miranda, U. Mosco, B. Nicolaenko, ). A. 61801. Nitsche, ). R. Ockendon, G. A. Pozzi, M. Primicerio, G. Prouse, ). W. Rogers, L. I. Rubinstein, G. Sacchi, A. Taroni, Our latest: A Modern Course on the Theory of Equations R. Temam, F. Tamarelli, A. Torelli, B. Turkington, P. by David E. Dobbs & Robert Hanks; classical theory of poly­ Villaggio, A. Visintin. nomial equations combined with modern numerical methods Two volumes: 523 + 606 pages, $70. for solving equations on pocket calculators; 224 pages, hard­ cover, $15. Still available: Examples of Groups by Michael Orders must be prepaid and should be addressed to: Weinstein; examples, counterexamples, and constructions in lstituto Nazionale di Alta Matematica Francesco Severi group theory; 320 pages, paperback, $6 (still being sold at P. le Aldo Moro, 5 the incredibly low price of less than 1.94/page). Polygonal Citta Universitaria Publishing House, 80 Passaic Avenue, Passaic, NJ 07055. 00185 ROMA, ltalia

CBMS REGIONAL CONFERENCE SERIES IN MATHEMATICS Supported by the National Science Foundation AN INTRODUCTION TO THE THEORY OF The one adopted here pertains to Clifford's theorem, SPECIAL DIVISORS ON ALGEBRAIC CURVES and may be informally stated as follows: The failure of a maximally strong version of Clifford's theorem by Phillip A. Griffiths to hold imposes nontrivial conditions on the moduli In May, 1979, an NSF Regional Conference was of an algebraic curve. held at the University of Georgia in Athens. The This monograph contains two sections, respec­ topic of the conference was "Special divisors on alge­ tively studying special divisors using the Riemann­ braic curves," and at that time an informal set of Roch theorem and the Jacobian variety. In the first lecture notes with the same title was distributed. section the author begins pretty much at ground About one-half the material in those notes contained zero, so that a reader who has only passing familiarity an exposition of results from the literature, while the with Riemann surfaces or algebraic curves may be other part gave an account of recent joint work by able to follow the discussion. The respective sub­ Enrico Arbarello, Maurizio Cornalba, Joe Harris, and topics in this first section are (a) the Ricmann-Roch P. A. Griffiths. In writing up this monograph it was theorem, (b) Clifford's theorem and the llo·mapping, decided to restrict to a discussion of the very ele­ and (c) canonical curves and the Briii-Noether matrix. mentary aspects of the theory and an explanation In the second section he assumes a little more, al­ without complete proofs of a few unpublished results though again an attempt has been made to explain, together with some from the recent literature, and if not prove, anything. The respective subtopics arc then to publish an expanded version of the remaining (a) Abel's theorem, (b) the rearpcarancc of the Briii­ contents of the Athens notes in a more traditional Noether matrix with applications to the singularities research format; specifically in Special divisors on of Wd and the Kleiman-Laksov existence proof, (c) algebraic curves by the authors listed above (to of the llo·mapping, and (d) special appear). This monograph, then, gives an exposition the reappearance of the elementary aspects of the theory of special linear systems in low genus. divisors together with an explanation of some more advanced results that are not too technical. As such, Number 44, v + 25 pages (soft cover) to recent sources. List price $5.60, individual $2.80 it is intended to be an introduction ISBN 0·8218-1694-2; LC 80·16415 As with most subjects, one may approach the Publication date: July 1980 theory of special divisors from several points of view. To order, please specify CBMSI44'N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

287 UNNERSITY OF CRETE

flANEni~THMIO KPHTHl: THE DEPARTMENT OF MATHEMATICS TOMEA~ MA8HMATIKUN Eni~THMUN of the 'H ~wuwtioa 'E7TLTP07T1i TOV nave1Tt0111~WV UNIVERSIDAD DE LOS ANDES Kp1)117c; dvwcowwvet TT)v i:mxerj.J.eV'T/ ?Tpo~e'l'/pv~f/ Merida, Venezuela 8eoewv Ka8rrmrwv 1ui rov Tof.l€a Ma81/[JO.TtKwv 'E1TLO'T17~WV ri7c; fllvot~eo~a81/~aTtKijc; ~xo}..'ijc; requires the services of able Mathemati­ oro 'HpdK}..ew. Ot' 8eoetc; 1rov 8d. 1TPOKTJpvxfJolfv cians who can enhance the knowledge and Kararciooovrat on~ 1rapwccirw ?Tepwxec; of our working groups in research abilities EP€VV'T/TtK'ijl; opa0111PtffrrlTal;: (a) 'AvMV01/, of: the fields {13) rew~rpi.a. ('Y) 'A}..'Yef3pa, (o) T01ro}..o-yth, DIFFERENTIAL EQUATIONS (e) ~w.opopt~e€~; 'E~towoetc;, (or) 8ewp{a TOPOLOGY ntBavoTT)rwv Kai ~rarwrt~e'l'/, teti8VV01/: ~wt~eotioa Some knowledge of Spanish is advanta­ 'E1TLTP01T1'/ navrnt0111~WV Kp'I'/Tf/1;, ~o}..wvoc; 71, geous- Send Curriculum Vitae to the 'A81'/va T. T. 143, Greece. 'Y1T6!J111 ~p. A. above mentioned address_ Kworrka.

Chairman, Department of Mathematical Sciences Purdue School of Science- Indianapolis Indiana University COMMUNICATIONS IN STATISTICS Purdue University at Indianapolis (SERIES C) SEQUENTIAL ANALYSIS Applications are invited for the position of Chair­ man of the Department of Mathematical Sciences, The Communications in Statistics will have a new series begin­ starting August 1981. Applicants should hold a ning in 1982 with the title Sequential Analysis. The aim of this jour­ doctorate in the mathematical sciences, have a nal is to bring together research papers on various theoretical and in research, and have a commitment methods in statistics. Specific areas proven record applied aspects of sequential research. Administra­ include theory and applications of hypothesis testing, estimation, to excellence in teaching and decision theory, designs, ranking, and optimal stopp1ng rules The tive experience and experience with sponsored pro­ level of mathematical sophistication of contributed papers is flex­ grams are desirable. ible as long aS;their originality and relation to sequential analysis are Indiana University-Purdue University at Indianap­ apparent. olis has an enrollment of over 22,000 students and The journal will be jointly edited by B. K. Ghosh (lehigh Uni­ offers programs in Medicine, Dentistry, Law, Sci­ versity) and P. K. Sen {University of North Carolina). The Associate ence, Engineering, Business, Education, Nursing, Editors are H. Chernoff (Massachusetts Institute of Technology), Arts, etc. The Department of Mathematical B. ~isenberg (lehigh University), I. K. Ghosh (lndoan Statistical Insti­ Liberal tute, India). M. Ghosh (Iowa State University), S. S. Gupta (Purdue Sciences, which includes pure and applied mathe­ University), N. l. Johnson (University of North Carolina), J. )ureC­ matics, statistics, and mathematics education, has a kova (Charles University, Czechoslovakia}, T. l. lai (Columbia Uni­ full-time faculty of 23. The Department is increas­ versity), A. N. Shiryayev (Steklov Institute of Mathematics. U.S.S.R.). ing its emphasis on graduate programs and has be· G. Simons (University of North Carolina), N Starr (Umversity of gun to admit Ph.D. candidates. As part of an urban Michigan). C. 8. Wetherill (University of Kent, U.K.), R. A. Wijsman also has a commitment (Umversity of Mich1gan, Ann university, the Department (University of Illinois). M. Woodroofe to industry and Arbor), and S Zacks (State Umversity of New York at B~nghamton). to developing programs of interest chairman is expected to pro­ Editors, and manu­ the community. The Papers should be sent to one of the Jo~nt urban uni­ scripts should be prepared in accordance with the general guide­ vide dyn_amic leadership at a growing lines described in the Communications in Statistics, Series A. Infor­ versity. mation on subscription rates can be obtained from the publisher, Mail letter of application, vitae, and names of three Marcel Dekker, Inc., 270 Madison Avenue, New York, New York references by May 15, 1981 to: 10016. Some further details concerning the new journal will appear in a Special Issue of the Communications in Statistics, Series A, in Dr. Peter Loh 1981. Purdue School of Science- Indianapolis Indiana University Purdue University at Indianapolis Indianapolis, Indiana 46205 An Equal Opportunity/Affirmative Action Employer

288 PUBLICATIONS FROM EM L'ENSEIGNEMENT MATH~MATIQUE _GENEVA__ . MONOGRAPHS SERIES A. WElL: Easaia hiatoriquea sur Ia CONTRIBUTIONS TO ANALYSIS th6orle des nombrea Proceedings of a Symposium in 55 pages, 1975; 18 Swiss Francs Honor of A. PFLUGER - Lectures by L.V. Ahlfors, H. Bauer, E. Bombieri, F.W. J. GUENOT et R. NARASIMHAN: Gehring, W.K. Hayman, R. Kuhnau, 0. Introduction i Ia th6orie des surfa­ Lehto, B. Malgrange, R. Narasimhan ces de Riemann 106 pages, 1979; 29 Swiss Francs 214 pages, 1976; 44 Swiss Francs TOPOLOGY AND ALGEBRA - Pro­ NEW ceedings of a Colloquium in Honor P. ERDOS and R.L. GRAHAM: Old of B. ECKMANN - Lectures by J.F. and new problema and results in Adams, M. Andr6, A. Banyaga, A. Bieri, A. combinatorial number theory Bott, A. Dold, P.A. Griffiths, A. Haefliger, 128 pages, 1980; 38 Swiss Francs J.C. Hausmann, P. Hilton, F. Hirzebruch, M. Huber, I.M. James, M. Kervaire, M.A. TH~ORIE ERGODIQUE - Procee­ Knus, H. Kraft, S. MacLane, W. Meier, J. dings of a Seminar - Lectures by P. Milnor and W. Thurston, G. Mislin, U. Arnoux, P.-L. Aubert, P. de La Harpe and K. Stammbach, R. Strebel, U. Wurgler, D. Jhabvala, M. Misiurewicz, C. Series, B. Zagier Weiss 280 pages, 1978; 60 Swiss Francs 112 pages, 1981; 34 Swiss Francs

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289 PUBLICATIONS OF THE ASOCIACION MATEMATICA ESPANOLA FOURIER ANALYSIS

Proceedings of the Seminar held at EL ESCORIAL, SPAIN, 17-23 JUNE, 1979

Editors: Miguel de GUZMAN lreneo PERAL

Contents: PAGE J. D. ALVAREZ ALONSO and A. P. CALDERON cFunctianal Calculi far Pseudo-Differential Operators- ...... C. P. CALDERON cOn a Condition of Morcinkiewicz and Convergence of Singular Integrals•. 63 R. R. COIFMAN et Y. MEYER cUne generalisation du Theoreme de Colder6n sur l'integrole de Cauchy•. 87 A. CORDOBA «Translation Invariant Operators-...... 117 P. W. JONES «Structure of Ap Weights-...... 177 B. MARSALL, W. STRAUSS and S. WAINGER cLP -L q Estimates for Solutions of the Klein-Gordon Equations.. 193

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290 SCUOLA NORMALE SUPERIORE PISA- ITALY

ANN ALl DELLA SCUOLA NORMALE SUPERIORE Dl PISA CLASSE Dl SCIENZE An International Journal in Mathematics Managing Editor: E. Vesentini Editors: t A. Andreotti, M. F. Atiyah, I. Barsotti, E. Bombieri, L. Carle son, G. Colombo, E. De Giorgi, j. Dieudonml, S. Faedo, H. Grauert, j. Leroy, H. Lewy, j. L. Lions, E. Magenes, L. Nirenberg, G. Prodi, L. A. Radicati di Brozolo, C. A. Truesdell Published: quarterly Subscription Rate: U.S. $60 for 1980 Back Volumes: available at U.S. $60 for each yearly volume. The journal is published from 1871

OTHER RECENT PUBLICATIONS Proceedings of International Conferences on SEVERAL COMPLEX VARIABLES, Cortona, June 1976 and July 1977, pp. 286, $7. Special volume of the Annali collecting papers dedicated in honour of JEAN LERAY, 1979, pp. 1024,$65. Special volume of the Annali collecting papers dedicated in honour of HANS LEWY, 1979, pp. 666, $40. M. F. ATIYAH, Geometry of Yang-Mills Fields, 1979, pp. 98, $10.

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THE GUIDO STAMPACCHIA PRIZE NOTIFICATION OF AN INTERNATIONAL COMPETITION To honour the memory of Guido Stampacchia, a competition for a prize in his name of FIVE MILLION lire has been created by the Scuola Normale Superiore, Pisa, with financial help from the National Research Council. The Prize will be awarded for work devoted to the following subject: New problems on differential equalities or inequalities, or the calculus of variations in presence of unilateral constraints. Monographs or other lengthy works published between January 1st 1980 and December 31st 1981, or unpublished manuscripts, will be taken into consideration. Those wishing to compete are requested to send their publications or manuscripts to the following address by December 31st 1981: THE GUIDO STAMPACCHIA PRIZE COMMITTEE c/o Scuola Normale Superiore 7, piazza dei Cavalieri 1-56100 Pisa, Italy This subject has been chosen for the competition because, on the one hand, it links up with research carried out by Guido Stampacchia at the end of his life, and, on the other, it offers great scope for development both because of the variety of problems still unsolved in this connection (for instance, elliptic problems with thin irregular obstacles, penalization and stability in relation to obstacles, the movement of a mechanical system in the presence of uni­ lateral constraints, ... ) and because of the methods for solving them. Scuola Normale Superiore The Director Pisa, February 1980. Edoardo Vesentini

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293 Journal of the Australian Mathematical Society, Section B. Special Issue on the Numerical Solution of Integral Equations. Editor: lan H. Sloan The issue contains 13 current research papers on boundary integral equations methods, weakly singular equations of the second kind, eigen­ value problems, equations of the first kind, Volterra equations, and Cauchy singular equations. The authors are Rizzo and Shippy (U.S.A.), Clements and Jones (Australia), Anselone (U.S.A), Vainikko, Pedas and Uba (U.S.S.R.), Chatelin and Lebbar (France), Lin Qun (China), Graham (Australia), Chu and Spence (U.K.), Anderssen (Australia) and Prenter (U.S.A.), O'Brien and Holt (Australia), Baker and Wilkinson (U.K.), and Elliott (Australia). Date: April, 1981 (Volume 22, Part 4) Price for separate sale: Aust. $15. Approx. 150 pages Order from: Business Manager, Australian Mathematical Society Dept. of Mathematics, University of Queensland St. Lucia, Queensland 4067, Australia

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THE SANTA CRUZ CONFERENCE ON FINITE GROUPS edited by Bruce Cooperstein and Geoffrey Mason In the last year or so there have been widespread just come of age. This conference was partially sup­ rumors that group theory is finished, that there is ported by a grant from the National Science Founda· nothing more to be done. It is not so. tion. from the Preface by G. Mason While it is true that we arc tantalizingly close to that pinnacle representing the classification of finite There arc 90 papers in this book by almost as simple groups, one should remember that only by many authors. The major divisions of the hook arc: reaching the top can one properly look back and 1. Classification theory of finite simple groups, survey the neighboring territory. It was the task of 2. General theory of groups, the Santa CruL conference not only to describe the 3. Properties of the known groups, tortuous route which brings us so close to the sum· 4. Representation theory of groups of Lie-type, mit of classification, but also to chart out more 5. Character theory of finite groups, .1ccessiblc paths--ones which might someday be open 6. Combinatorics, to the general mathematical public. 7. Computer applications, !\ third concern was the elucidation of topics in 8. Connections with number theory and other fields. rt'l.tted fields, and it is to one of these three areas The table of contents includes so many mathe· that the papers in this volume arc devoted. maticians well known and active in the field that it Just a quick glance at the table of contents [too would be unfair to list a sample. lengthy to be included here I will reveal a wide var·icty of topics with which the modern group theorist must ·volume 37, xviii + 634 pages (hard cover) contend. Some of the>c, for example the connections list price S39.60, institutional member S29.70, individual member S19.80 with the thcorv of modular functions, have very rc­ ISBN 0·8218·1440·0; LC 80·26879 Cef"\1 origins, but the\· leave us with the clear imprcs­ Publication date: January 1981 ;ion that, far from being dead, group theory has only To order, please specify PSPUM/37N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

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History of Sible work smce rt assumes mere­ cal tool of tensor algebra is ly some familiarity wrth the ele­ developed in detail in Chapters 8 Functional Analysis mentary theory of integration and and 9 and the last two chapters some rudimentary knuwledge of are devoted to the representa­ by JEAN DIEUDONNE Functronal and Founer Analysis. tions rn commonly used functio­ NORTH-HOLLAND MATHEMA- Furthermore. the work wrll be in­ nal vector spaces and to the ap­ TICS STUDIES, Vol. 49 valuable to those who want to plicatrons to Quantum Mecha­ Notas de Matematica (77). keep abreast with the challen­ nics. Mathematical definitions Editor: Leopolda Nachbin ging open problems of a very and theorems about vector spa­ 1981. vi + 312 pages. raprdly e·