Notices of the American Mathematical Society

< 2.. c:: 3 ~ N 00 z c:: 3 C"' ...~

August 1981, Issue 211 Volume 28, Number 5, Pages 385-464 Providence, Rhode Island USA ISSN 0002-9920 CALENDAR OF AMS MEETINGS

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. AISTRACTS 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 office of the Society In Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at 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

789 October 16-18, 1981 Amherst, Massachusetts AUGUST 20 October 790 November 6-7, 1981 Austin, Texas SEPTEMBER 10 November 791 November 13-14, 1981 Santa Barbara, California SEPTEMBER 14 November 792 January 13-17, 1982 Cincinnati, Ohio OCTOBER14 january (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) August 8-12, 1983 Albany, New York (87th Summer 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)

DEADLINES: Advertising: (October issue) August 27, {November issue) September 22 News/Special Meetings: (October issue) August 17, (November issue) September 8

OTHER EVENTS SPONSORED BY THE SOCIETY july 20-August 7, AMS Summer Institute on Singularities, Humboldt State University, Arcata, California, April issue, page 232 April 12-15, 1982, AMS Symposium on Several Complex Variables, University of Wisconsin, Madison, Wisconsin

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 subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of-address forms are not adequate for this purpose, since they make no provision for several important items of in for· matlon which are essenUal 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 offi~e boxes in Providence. All general ~orrespondence should be addressed to the Society at Post Office Box 6248, Providen~e, fU 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 Clr to Employment Information in the Mathematical Sciences should be addressed to Post Office Box 6887, Providence, Rl 02940. [Notices is published eifht times a year (January, February, April, june, August, October, November, Decernber) by the American Mathematical Soc1ety at 201 Charles Street, Providence, Rl 02904. Second ~lass 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 te~hnical requlreme~ of the U.S. Postal Service. This address should never be used by CCirrespondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the So~iety themselves of address changes (in the manner described above), since (a explained above) reliance on the postal service change·of·address forms is .liable to cause delays in processing such requests In the AMS office. Notices of the American Mathematical Society

Volume 28, Number 5, August 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 386 MEETINGS OF THE SOCIETY SUBSCRIPTION ORDERS Pittsburgh, Pennsylvania, August 15, 386 Notices is published eight times a Amherst, Massachusetts, October 16, 415 year (January, February, April, june, Austin, Texas, November 6, 418 August, October, November, and Santa Barbara, California, November 13, 419 December). Subscription for Vol. 28 Invited Speakers, 420; Special Sessions, 420 (1981), $22.00 list, $11.00 member. The subscription price for memb"ers 420 AMS RECIPROCITY AGREEMENTS {Supplement) is included in the annual dues. Sub· scriptions and orders for AMS publi· 421 ELECTION INFORMATION cations should be addressed to the American Mathematical Society, 422 LETTERS TO THE EDITOR P. 0. Box 1571, Annex Station, Providence, R.I. 02901. All orders 425 QUERIES must be prepaid. 426 WARSAW CONGRESS, 1982 427 NSF RESEARCH INSTITUTES ADVERTISING & INQUIRIES The Notices publishes situations 430 NEWS AND ANNOUNCEMENTS wanted and classified advertising, and display advertising for publishers 432 NSF NEWS & REPORTS and academic or scientific organiza­ tions. Requests for information: 433 NEW AMS PUBLICATIONS Advertising: Virginia Biber 436 SPECIAL MEETINGS Change of address or subscriptions: Rena Harty 439 MISCELLANEOUS Book Order number 800·556·7774. Personal Items, 439; Deaths, 439; To avoid interruption in service please Visiting Mathematicians, 440; send address changes four to six weeks in advance. It is essential Backlog of Mathematical Research journals, 444 to include the member code which 446 AMS REPORTS & COMMUNICATIONS appears on the address label with all correspondence regarding Treasurer's Report, 446; subscriptions. Address correspondence Recent Appointments, 447; to American Mathematical Society, Council Meeting in Pittsburgh, 448; P. 0. Box 6248, Providence, Rl 02940. MATHFILE {Computerized Retrieval Telephone 401·272·9500. Service), 449; Officers and Committee Members Second class postage paid at of the Society, 452 Providence, Rl, and additional mailing offices. Copyright © 1981 by the 455 ADVERTISEMENTS American Mathematical Society, Classified Advertising, 455; Printed in the United States of America. ElMS Subscription Forms, 457, 458 PITTSBURGH MEETINGS, AUGUST 15-21, 1981 Program for the 85th Summer Meeting

The August 1981 Joint Mathematics Meetings, 85TH SUMMER MEETING OF THE AMS including 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 Colloquium Lectures Mu Epsilon, will be held August 17-21, 1981 (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), title of the lecture series is Units and class numbers 1981. in algebraic geometry and number theory. The lectures will be given in 120 and 121 David Lawrence The members of the Local Arrangements Commit­ Hall. The times and dates of the lectures are 1:00 p.m. tee are Elayne Arrington-Idowu, F. Gonzalez Asenjo, on Tuesday, August 18, and 11:10 a.m. on Wednesday, Benedicty, Frank T. Birtel (ex William A. Beck, Mario Thursday, and Friday, August 19, 20, and 21. officio), Jacob Burbea (chairman), W. Eugene Deskins, Barbara T. Faires, James P. Fink, William G. Fleissner, Steele Prizes Ka-Sing Lau, William J. LeVeque (ex officio), Earle F. The 1981 Leroy P. Steele Prizes will be awarded at Myers (publicity director), David P. Roselle (ex officio), a session at 4:00 p.m. on Thursday, August 20 in 120 Kathleen Ann Taylor, Earl G. Whitehead, and Melvin and 121 David Lawrence Hall. Woodard. Invited Addresses By invitation of the Program Committee, there will WHERE TO FIND IT PAGE be eight invited one-hour addresses. The names of the speakers, titles of their talks, and times of their SUMMER MEETING OF THE AMS 386 Colloquium Lectures, Prizes, Invited Addresses, addresses are as follows: Special Sessions, Contributed Papers, Council SHREERAM ABHYANKAR, Purdue University, and Business Meetings, Other AMS Sessions Singularities, 1:00 p.m. Thursday. AMS SHORT COURSE 387 RICHARD W. BEALS, Yale University, Scatter­ TIMETABLE 389 ing, inverse scattering, and evolution equations, 1:00 p.m. Friday. OTHER ORGANIZATIONS 390 ANDREW CASSON, University of Cambridge, AWM, MAA, TIME England (title not available), 10:00 a.m. Thursday. OTHER EVENTS OF INTEREST 392 Book Sales, Summer List of Applicants, Exhibits, Second-hand Book Exchange INFORMATION FOR PARTICIPANTS 394 University Housing, Food Services, Hotel Accommodations, Registration at Meetings CAMPUS MAP 400 REGISTRATION DESK SERVICES 401 AMS/MAA Information, Audio-Visual Aid, Assistance, Comments and Complaints, Baggage and Coat Check, Check Cashing, Lost and Found, Local Information, Mail, Personal and Telephone Messages, Transparencies, Visual Index MISCELLANEOUS INFORMATION 402 Athletic Facilities, Book Stores, Camping, Child Care, Crib Rental, Libraries, Local Information, Medical Services, Parking, Social Events, Travel, Weather

IMPORTANT DEADLINES Abstract&, For conaideration for apecial aenions Expired Of contributed papere Expired Summer Liat of Applieants Expired Preregistration and Housing Expired Housing change& or eaneellations (ref\md of deposit) July 22 Second-hand Book Exchange August 10 Preregistration eaneellations (50% refUnd) Auguat 14 Dues credit for nonmember& September 21 Serge Lang, Colloquium Lecturer

386 American Mathematical Society Short Course 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 August 15 and 16, 1981, at the University of Pittsburgh. participate upon payment of the registration fee. The theory of networks has roots that extend back There are reduced fees for students and unemployed to the nineteenth century and beyond, but in the individuals. For details please refer to the section last few decades it has flowered spectacularly, in both entitled Meeting Preregistration and Registration. theory and application. This short course will introduce The organizer of this course is Stefan A. Burr of the participants to some of the ideas, methods, and the Department of Computer Science at CUNY, City applications of the mathematics of networks. College. This course was recommended by the Society's The theory of networks is primarily concerned with Committee on Employment and Educational Policy, algorithms, including heuristic algorithms, for solving whose members are Lida K. Barrett (chairman), Donald problems involving networks. For example, two basic C. Rung, Hans Schneider, Robert J. Thompson, Barnet problems of the theory are those of finding the shortest M. Weinstock, and William P. Ziemer. The short path between two points in a network of distances course series is under the direction of the CEEP Short or the greatest possible flow through a network of Course Subcommittee, whose members are Ronald L. capacities. For each of these, and many others, efficient Graham (chairman), Robert M. McKelvey, Cathleen S. algorithms exist. The question of how efficient an Morawetz, Barbara L. Osofsky, and Philip D. Straffin, algorithm can possibly be for a particular problem 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, it The names of the speakers and the titles of their talks is necessary to fall back on heuristic approaches. Two are: important applications of the mathematics of networks Introduction to Basic Network Problems, Frank are to vehicle routing and telephone switching theory. Boesch {Department of Electrical Engineering and These two will be treated in some detail, illustrating the Computer Science, Stevens Institute of Technology); diversity of mathematical problems and applications that the theory finds. Maximum Flows in Networks, Frances Yao (Xerox Synopses of the talks and accompanying reading lists Palo Alto Research Center); may be found on page 248 of the April1981 issue of the The Computational Complexity of Network Prob­ Notices. No specific background will be necessary to lems, Richard M. Karp (Department of Electrical benefit from this short course, but it would be helpful Engineering and Computer Science, University of to have had some exposure to operations research, California, Berkeley); computer science, or discrete mathematics (especially Effective Use of Heuristic Algorithms in Network graph theory). Those who wish to get the most benefit Design, Shen Lin {Bell Laboratories, Murray Hill); from the course should consult Howard Frank and Joan Frisch, Network Analysis, The Mathematics of Networks, Daniel J. Kleitman Scientific American, volume 223 {1970), July, pages {Department of Mathematics, Massachusetts Insti­ 94-103. tute of Technology); Eugene L. Lawler, Combinatorial Optimization: Telephone Switching Networks, Nicholas Pippenger Networks and Matroids, Holt, Rinehart and (IBM Research Center, San Jose). Winston, New York, 1976, chapters 1 and 2. The course will conclude with a general discussion.

The AMS Short Course, "The Mathematics of Networks," will be held in Room 111 of the Law School at the University of Pittsburgh.

387 ROBERT L. GREISS, JR., University of Michigan, C*-algebras and applications, ROBERT T. Ann Arbor, Sporadic simple groups and linear POWERS, University of Pennsylvania. John W. algebra, 2:10p.m. Tuesday. Bunce, Edward Effros, Richard H. Herman, Robert T. PETER W. JONES, University of Chicago, Some Powers, and Jonathan Rosenberg. problems in the theory of Hardy spaces, 10:00 a.m. Numerical analysis, WERNER C. RHEIN­ Wednesday. BOLDT, University of Pittsburgh. Benito Chen­ RICHARD M. KARP, University of California, Charpentier, George J. Fix, Janet S. Peterson, Thomas Berkeley, Efficient reducibility: A tool for measuring A. Porsching, and Richard S. Varga. computational complexity, 10:00 a.m. Friday. Complex geometry and mathematical physics, ANDREW 0DLYZKO, Bell Laboratories, Murray R. 0. WELLS, JR., Rice University. J. D. Finley, Hill, Nontransitive games, pattern matching, James A. Goldberg, C. Denson Hill, Lane P. Hughston, and other excursions into probability theory and James A. Isenberg, Gerald Kaiser, Morris Kalka, Alan combinatorics, 3:20 p.m. Tuesday. S. Lapedes, Claude R. LeBrun, Gabriel G. Lugo, Tilla LINDA PREISS ROTHSCHILD, University of Klotz Milnor, Ezra T. Newman, Zolten Perjes, Robert Wisconsin, Madison, Existence and smoothness of Pool, John R. Porter, Simon Salamon, Roger Schlafly, solutions for some linear differential equations: Michael Sheppard, George A. J. Sparling, and Phillip Connections with group representation theory and B. Yasskin. applications to several complex variables, 2:10 p.m. Contributed Papers Thursday. There will be sessions for contributed papers on Special Sessions Tuesday afternoon, Wednesday morning, Thursday By invitation of the same committee, there will be morning and afternoon, and Friday morning and eight special sessions of selected twenty-minute papers. afternoon. The deadline for abstracts for contributed The titles of these special sessions, the names of the papers was June 1, 1981. If necessary, late papers will mathematicians arranging them, and lists of speakers be accepted for presentation, but will not be listed in are as follows: the printed program of the meeting. Topics in complex analysis, JACOB BURHEA, Audio-Visual Equipment University of Pittsburgh. Sheldon Axler, Karl F. where special sessions and contributed paper Barth, Frank Beatrous, Steven R. Bell, Carlos A. Rooms will be held will be equipped with an overhead Berenstein, Thomas Bloom, James E. Brennan, Jacob sessions screen, and blackboard. Burbea, Joseph A. Cima, Charles V. Coffman, John projector, are P. D'Angelo, Peter L. Duren, Carl H. Fitzgerald, Presenters of ten- or twenty-minute papers the Michael B. Freeman, Myron Goldstein, Ian R. Graham, urged to use the overhead projector rather than Robert E. Greene, Reuven Harmelin, Peter Henrici, blackboard for their presentation in order to obtain Boris Korenblum, Steven G. Krantz, A. M. MacBeath, maximum visibility by all members of the audience of Thomas A. Metzger, C. David Minda, R. N. Pederson, the material. being presented. R. Michael Range, Lee A. Rubel, S. Sabarou Saitoh, G. Other AMS Sessions Sampson, Glenn Schober, Nobuyuki Suita, Lawrence Zalcman, and R. A. Zalik. AMS Committee on Employment Knots, links, and 3-manifolds, CAMERON and Educational Policy MeA. GORDON, University of Texas, Austin. Marc The Society's Committee on Employment and Culler, Patrick M. Gilmer, Cameron MeA. Gordon, Educational Policy (CEEP) and the Mathematical John L. Harer, Charles Livingston, Daniel R. McMillan, Association of America will cosponsor an open session Jr., Lee P. Neuwirth, Steven P. Plotnick, Josef H. at 4:30 p.m. on Monday, August 17. JOHN W. Przytycki, Lee N. Rudolph, Jonathan K. Simon, JEWETT of Oklahoma State University, Stillwater, DeWitt L. Sumners, and Lorenzo Traldi. will present a preliminary report on the results of the Noncommutative ring theory, ROBERT GOR­ 1980 CBMS survey of undergraduate programs in the DON, Temple University. John A. Beachy, John mathematical sciences; BARNET M. WEINSTOCK Cozzens, Patrick Fleury, K. R. Fuller, Charles Lanski, of the University of North Carolina, Charlotte, a Wallace S. Martindale, Susan Montgomery, Irving member of CEEP, will serve as the moderator. Reiner, and Sylvia M. M. Weigand. A Report Algorithms and complexity, JOHN E. HOP­ CROFT, Cornell University. Ronald V. Book, Ashok At 4:30 p.m. on Wednesday, August 19, SERGE K. Chandra, Juri Hartmanis, Christoph M. Hoffman, LANG will present a report on Circular A-21: Cost Maria Klawe, Eugene M. Luks, Attila Mate, Eric S. principles for educational institutions. Rosenthal, and J. T. Schwartz. Professor Lang will discuss the problems posed by Kleinian groups, BERNARD MASKIT, State the "monitored work load" and "personnel activity University of New York, Center at Stony Brook. James reports," and will report on the objections raised by W. Cannon, Andrew H. Haas, Linda Keen, Bernard a large number of academic senates and institutions Maskit, Howard A. Masur, J. Peter Matelski, Peter like NAS, CSSP, AAU, and others which urge the Nicholls, Robert J. Sibner, Perry D. Susskind. suspension of the reporting requirements.

388 TIMETABLE DLH - David Lawrence Hall LS - Law School (Eastern Daylight Saving Time)

A:\IERICAN MATHEMATICAL SOCIETY SHORT COt:RSE SERIES

SA1TRDAY, August 15 THE MATHEMATICS OF NETWORKS

11:00 a.m. - 4:00 p.m. REGISTRATION (Short Course Only) Outside Ill, LS 111 LAW SCHOOL 2:00 p.m. - :!:25 p.m. lntror!uction to basic network problems Frank Boesch 3:30 p.m. - 4:45 p.m. :\laximum flows in networks Frances Yao

Sl!NDAY, August !(;

H:OO a.m. - noon REGISTRATION (Short Course Only) Outside Ill, I.S 111 LAW SCHOOL 9:00 a.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 I ::lO p.m. - 2:45 p.m. The mathematics of networks Daniel J. Kleitman 3:00 p.m. - 4:15 p.m. Telephone switching networks Nicholas Pippenger 4:15 p.m. - 5:00 p.m. General discussion

JOINT MATHEMATICS MEETINGS

SUNDAY, August 16 American Mathematical Society Mathematical Association of America

9:00 a.m. - 4:00 p.m. BOARD OF GOVERNORS MEETING 2 P56 Forbes Quad 4:00 p.m. - 5::!0 p.m. BOARD OF GOVERNORS AND SECTION OFFICERS - Joint Meeting 2P56 Forbes Quad 4:00 p.m. - H:OO p.m. REGISTRATION Lobby, Litchfield Tower A 4:00 p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE Litchfield Towers Main Lobby Litchfield Towers Main Lobby 7:00 p.m. - 9::!0 p.m. SECTION OFFICERS MEETING 2P5G Forbes Quad

MONDAY, August 17 AMS MAA 8:00 a.m. - 4::!0 p.m. REGISTRATION Lobby, Litchfield Tower A 8:00 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK SALE Litchfield Towers Main Lobby Litchfield Towers Main Lobby 9:00 a.m. - 9:10 a.m. WELCOME ADDRESS Jerome L. Rosenberg, Dean of the Facultv of Arts and Sciences l!nivef'sity of Pittsburgh 120-121 DLH 9: 10 a.m. - 10:00 a.m. THE EAHLE RAYMOND HEDRICK LECTUHES: Lecture I Finite simple groups: The enormous theorem Daniel Gorenstein 120-121 DLH 10: 10 a.m. - 11:00 a.m. INVITED ADDRESS The trouble with area Marvin I. Knopp 120-121 DLH 11: 10 a.m. - noon INVITED ADDRESS Development of the theory of cluster sets A. J. Lohwater 120-121 DLH

389 Committee on the Agenda for Business Meetings

The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business Meetings orderly and effective. The committee does not have legal or administrative power. It is intended that the committee consider what may be called "quasi-political" motions. The committee has several possible courses of action on a proposed motion, including but not restricted to I (a) doing nothing; (b) conferring with supporters and opponents to arrive at a mutually accepted amended version to be circulated in advance of the meeting; (c) recommending and planning a format for debate to suggest to a Business Meeting; (d) recommending referral to a committee; (e) recommending debate followed by referral to a committee. There is no mechanism that requires automatic submission of a motion to the committee. However, if a motion has not been submitted through the committee, it may be thought reasonable by a Business Meeting to refer it rather than to act on it without benefit of the advice of the committee. The committee consists of Everett Pitcher (chairman), Marian B. Pour-El, David A. Sanchez, and Guido L. Weiss. In order that a motion for the Business Meeting of August 20, 1981, receive the service to be offered by the committee in the most effective manner, it should have been in the hands of the secretary by July 17, 1981. Everett Pitcher

MATHFILE: A New AMS Service American Mathematical Society. For additional information on the Business Meeting, please refer to JOHN SELFRIDGE, executive editor of Mathe­ the announcement titled Committee on the Agenda for matical Reviews, and WILLIAM LEVEQUE, ex­ Business Meetings. ecutive director of the Society, will describe a new computerized information retrieval system that will ACTMTIES OF OTHER ORGANIZATIONS significantly enhance the value of Mathematical The Mathematical Aasoeiation of America Reviews for mathematicians, scientists and librarians. {MAA) will hold its 61st summer meeting August It will become available in many university libraries 17-19 (Monday- Wednesday). The Business Meeting within the next few months, as well as to individuals of the MAA will take place at 10:00 a.m. on Tuesday, having access to computer terminals. The speakers will August 18, at which the Carl B. Allendoerfer, Lester explain some of the capabilities of the system, describe R. Ford, and George P61ya awards will be presented. the manual that will assist in using it, and discuss A series of three Earle Raymond Hedrick Lectures costs. This session will take place at 9:00 a.m. on will be given by DANIEL GORENSTEIN of Rutgers Wednesday, August 19. University, New Brunswick. The title of this series AMS-MAA-SIAM Congressional Fellow At 7:00p.m. on Wednesday, August 19, CHERYL G. TROPF, the current AMS-MAA-SIAM Congres­ sional Fellow, will report on her activities on the minority staff of the Subcommittee on Science, Tech­ nology, and Space of the Senate Committee on Commerce, Science, and Transportation. Her talk is co-sponsored by the Society and the Association. Council Meeting The Council of the Society will meet at 5:00 p.m. on Tuesday, August 18, in Room 2P56 Forbes Quad. Business Meeting The Business Meeting of the Society will take place at 5:00 p.m. on Thursday, August 20, in 120 and 121 David Lawrence Hall. The secretary notes the following resolution of the Council: Each person who attends a J;Jusiness Meeting of the Society shall be willing and able to identify himself as a member of the Society. In further explanation, it is noted that each person who is to vote at a meeting is thereby identifying himself as and claiming to be a member of the Daniel Gorenstein, Hedrick Lecturer

390 TIMETABLE

MONDAY, August 17 American Mathematical Society Other Organizations

1:00 p.m. - 5:00 p.m. EXHffiiTS Litchfield Towers Main Lobby 1:20 p.m. - 2:10 p.m. MAA_:. Tl!:' EARLE RAYMOND HEDRICK I LEC I UU.S: Lecture II ' Finite simple groups: The friendly giant and his relatives Daniel Gorenstein 120-121 DLH

2:20 p.m. - 3:10 p.m. MAA - I~VITED ADDRESS Combinatorics and geometry Dijen K. Ray-Chaudhurl 120-121 DLH

3:20 p.m. - 4:10 p.m. l\IAA - 1~\'1 TED ADDRESS Constant-weight codes, sum-free sets and harmonious graphs Ronald L. Graham 120-121 DLII 3: 20 p. m. - 4:20 p. m. MAA- P:\NEI. DISCl'SSION Institutional responses to ''math anxietv" Clifford A. Baylis, ,Jr. . David A. Blacucr Rosalie B ..Jackson Beverly K. Michael 111 LS

4: 30 p.m. - 5:20 p.m. MAA - 1~\'ITED ADDRESS Operations research in the Feder a I Reserve System Patrick L. Hayes 120-121 m:H 4: 30 p.m. - 5:30 p.m. AMS CEEP/MAA PANF:I, DISCllSSION The 1980 CBMS Survey John W. Jewett Barnet M. Weinstock (moderator) 111 LS 7: 00 p.m. - 9:00 p.m. MAA - MINICOURSE The use of computers to teach mathematics Donald 0. Norris 211 DLH 7:00 p.m. - 9:38 p.m. MAA - FILM PROGRAM 120-121 DLII 7:00 p.m. Complex function graphs: w z and w e 7:11 p.m. Shapes of the future: Some unsolved problems in geometry - two dimensions 7:35 p.m. The seven bridges of Konigsberg 7:41 p.m. Adventures in perception 8:05 p.m. Modelling surveys - a B.ll. C. broadcast as part of the Open University's Founda­ tion Course in Mathematics 8:32 p.m. Powers of ten 8:43p.m. Symmetries of the cube 8:59 p.m. Bow far is around"? 9:09p.m. Math anxiety: We beat it, so can you! 7:00 p.m. - 10:00 p.m. Pi Mu Epsilon - RECEPTION East Wing, Lothrop Hall

TUESDAY, August 18 AMS Other Organizations 8:30 a.m. - 4:30 p.m. REGISTRATION Lobby, Litchfield Tower A 8:30 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK s,\ LE Li tchf icld Towers Main Lobby I Litchfield Towers Main Lobby 8:30 a.m. - 4:30 p.m. EXHffiiTS Litchfield Towers Main Lobby 9:00 a.m. - 9:50 a.m. MAA- THE EARLE RAYMOND HEDRICK I LECTURES: Lecture Ill Finite simple groups: The thirty-years war I Daniel Gorenstein 120-121 DLH 391 of three lectures is Finite simple groups. The first openings, in the latter part of the summer or in the lecture is titled The enormous theorem, the second fall. The friendly giant and his relatives, and the third Instead of an Employment Register at the Summer The 90-years war. Meeting in Pittsburgh, there will be an opportunity for The MAA is also planning a minicourse on The posting of both applicant resume forms and employers' announcements of open positions in or near the main use of computers to teach mathematics, which will meeting registration area. No provisions will be made take place at 7:00 p.m. on Monday, August 17, and by the Society for interviews: arrangements will be Wednesday, August 19. DONALD 0. NORRIS of the responsibility of the employer and the applicant. Ohio University at Athens will conduct the minicourse. Messages may be left in the message box located in the A brief introduction to BASIC programming will be registration area. given, followed by discussions of how computers can be Special applicant and employer forms will be avail­ used in a variety of courses. This will include the more able at the Transparencies Section of the registra­ traditional approaches such as the use of computers in tion desk both for applicants to post resumes and calculus and differential equations courses, as well as for employers to post forms announcing positions. the use of simulation models in liberal arts courses or Employers who do not plan to attend, and wish mathematics education classes. Microcomputers will to display literature only, may do so at no charge. be available for the use of the participants. This material must, however, have been received in the Providence office no later than July 10. Informa­ The minicourse is open only to persons who have tion cannot be taken over the telephone, either in registered for the Joint Mathematics Meetings and paid Providence after July 10 or at the meeting. the registration fee. The minicourse has a separate registration fee of $15, and is limited to 30 participants. Exhibits Interested participants who did not preregister should The book and educational media exhibits will be check with the cashier at the meeting registration desk. open from 1:00 p.m. to 5:00 p.m. on Monday, August 17, and from 8:30 a.m. to 4:30 p.m. on Tuesday and The MAA is planning a banquet for individuals who Wednesday, August 18 and 19. The exhibits are have been members of the Association for twenty-five located in the main lobby at Litchfield Towers. years or more. The banquet will take place at 5:30 Book Sales p.m. on Tuesday, August 18. Books published by the AMS and the MAA will The Allegheny Mountain Section of MAA will host a be sold for cash prices somewhat below the usual wine and cheese reception at 5:30 p.m. on Wednesday, prices when these same books are sold by mail. August 19. These discounts will be available only to registered Pi Mu Epsilon (llME) will hold its annual meeting participants wearing the official meeting badge. Visa on Tuesday and Wednesday, August 18 and 19. The and Mastercard credit cards will be accepted for book J. Sutherland Frame Lecture will be given at 8:30 sale purchases at the meeting. The book sales will be p.m. on Tuesday, by E. P. MILES of Florida State open the same days and hours as the Joint Mathematics University, Tallahassee. Professor Miles will speak Meetings registration desk., and are located in the main on The beauties of mathematics revealed in color lobby at Litchfield Towers. block graphs. Seeond-hand Book and Joumal Exchange The Association for Women in Mathematics At the Joint Books and Journals display in the (AWM) will hold a panel discussion on Women math­ exhibit area, notebooks will be available with lists of ematicians in the '80s at 3:20 p.m. on Wednesday, books on mathematics for sale or being sought. There August 19. Panel members are RHONDA HUGHES, will be separate notebooks of books for sale and books Bryn Mawr College; JEANNE FERRANTE, IBM; wanted with names and addresses of the owners (or seekers). The details of the transactions themselves and JUDITH M. PREWITT, National Institutes of are to be arranged by the participants, and the AMS Health. The AWM Membership Meeting will take place will not accept responsibility for settling disputes if at 4:20 p.m. the same day. arrangements go awry. It is necessary to charge a small fee to cover the cost OTHER EVENTS OF INTEREST of preparing the notebooks. Each person participating Summer List of Applicants is asked to pay S2 for the first page, and Sl for each At the direction of the AMS-MAA-SIAM Commit­ additional page (one side is one page). Books for sale tee on Employment Opportunities, which is charged must be listed on separate pages from books wanted with operation of the Employment Register and with (as many of either per page as one wishes), and the the publication Employment Information in the lists made up on 8.5 inch by 11 inch pages. Mathematical Sciences, the Society will publish Please include the information below: a summer list of mathematical scientists seeking Books Oft'ered: Name, address, telephone, will or employment, for distribution at the Pittsburgh meeting will not be at the meeting. Author, title, publisher, in August 1981. year of publication, condition of book (for example Copies of the 1981 summer list will be available at slightly used, annotated lightly or heavily, like the Transparencies Section of the registration desk for new), price or books wanted in trade. Sl. Following the meeting, they may be purchased Books Wanted: Name, address, telephone, will or from the AMS Office in Providence for S2. This list will not be at the meeting. Author, title, publisher, should prove useful to employers who have last minute edition, price one is willing to pay.

392 TIMETABLE

TUESDAY, August 18 American Mathematical Society Other Organizations

10:00 a.m. - 10:50 a.m. MAA - BUSINESS MEETING 120-121 DLH 11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Transition from academia to industry Ervin Cramer 120-121 DLH 11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS The math workshop Deborah Hughes-Hallett 111 LS noon - 1:00 p.m. liME - COUNCIL LUNCHEON University Towers Dining Room 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE l Units and class numbers in algebraic geometry and number theory Serge Lang 120-121 DLH ! ! 2:10p.m.- 3:10p.m. INVITED ADDRESS I Sporadic simple groups and linear algebra 1 Robert L. Griess, Jr. 1 120-121 DLH I SPECIAL SESSIONS 2:10 p.m. - 4:00 p.m. Topics in complex analysis I 113 LS 2:10 p.m. - 4:35 p.m. Complex geometry and mathematical physics I 111 LS 2:10 p.m. - 4:30p.m. C •-algebras and applications 104 our 3:00 p.m. - 5:30 p.m. liME - CONTRIBUTED PAPER SESSION 105 DLH 3:20 p.m. - 4:20 p.m. INVITED ADDRESS Nontransitive games, pattern matching, and other excursions into probability theory and combinatorics Andrew Odlyzko 120-121 DLH 5:00 p.m. - 10:00 p.m. COUNCIL MEETING 2P56 Forbes Quad 5:30 p.m. MAA- BANQUET FOR 25-YEAR MEMBERS East Wing, Lothrop Hall 6:30 p.m. - 8:15 p.m. liME - BANQUET Second Floor Lobby, LS 7:30 p.m. - 9:45 p.m. MAA- SPECIAL EVENING SESSION Computers in the undergraduate mathematics curriculum: Experiments, project reports and the National Consortium on Uses of Com­ puters in Mathematical Science Education 120-121 DLH 7:30 p.m. Introduction to the session and report on the National Consortium Ronald H. Wenger (moderator) 7:45p.m. Instructional software in the under­ graduate mathematics curriculum Theron D. Rockhill 8:15 p.m. Use of CONDUIT materials in teaching mathematics David A. Smith 8:45p.m. Results of a project to incorporate the computer Into the mathematics curriculum Sheldon P. Gordon 9:15 p.m. Simulation and mathematical modeling using computers Marialuisa McAllister 8:30 p.m. - 9:30 p.m. liME- J. SUTHERLAND FRAME LECTURE The beauties of mathematics revealed in color block graphs E. P. Miles 111 LS

393 Lists may be sent to the Promotion Department of charged for the parents. A child over 16 years of age the Society until August 10, or may be brought to the will be considered an adult and must occupy a bed and meeting. If brought to the meeting, two copies of each pay the adult rate. No cots or cribs are available from page should be supplied so that duplicate notebooks the university for children. See the section on Crib can be maintained. Rental. Please send your lists to: Promotion Department, Those preregistering and requesting university hous­ AMS, Post Office Box 6248, Providence, Rhode Island ing before the July 10 deadline must include a deposit 02940. Make cheeks payable to the AMS. If you for one night'slodging or lodging and food. Details have questions, call Phoebe Murdock, 401-272-9500, are given below. The deposit should be submitted extension 237. at the same time as the preregistration/housing form. Forms received without the deposit will be returned. INFORMATION FOR PARTICIPANTS Should it be necessary for participants to cancel University Housing their preregistration and housing, they should be aware that the housing deposits can be refunded only up Participaqts desiring confirmed reservations for on­ to July 22. Those wishing to cancel should write or campus housing should have preregistered prior to telephone Mary Coceoli at the Mathematics Meetings the deadline of July 10, 1981. Rooms may be Housing Bureau (401-272-9500, ext. 239) before this available for those who do not preregister, but this deadline, since no refunds of housing deposits can cannot be guaranteed. be made by the AMS after these monies have been The following general statements apply to all res­ turned over to the University. idence hall accommodations at the University of All those who request university housing in advance Pittsburgh. will receive a written confirmation from the Mathe­ No university residence hall rooms may be occupied matics Meetings Housing Bureau. This confirmation before August 14. All participants must be cheeked out should be presented to the university clerk at time of of the residence halls no later than noon on August check-in. The remainder due on food and/or lodgings 22. Check out time on other days is 1:00 p.m., and for the duration of each participant's stay as originally anyone failing to check out by this time will be charged requested on his or her preregistration/housing another night's lodging and food by the university. form is due in full at time of check-in. No changes The university is not responsible for articles left ean be made in arrival or departure dates or behind in the residence halls after cheek out. therefore in the amount due to the University The university regrets that it is unable to provide once this information has been turned over to the porters to assist participants with their luggage. University by the Mathematics Meetings Housing Two sheets, a pillow, and one pillowcase are pro­ Bureau on July 22. Cash, personal checks or travelers' vided for each bed being occupied, as well as a set checks will be accepted; credit cards will not. Checks of towels, soap, and drinking glass. Wash cloths must be made payable to the University of Pittsburgh. are not available, nor are clothes hangers. A Individuals who fail to preregister and obtain con­ limited number of blankets will be available upon firmed university accommodations must go to the request. Participants are advised to bring their desk in the main lobby at Litchfield Towers in order own blanket if they want to be sure of having one. to receive a room assignment, if rooms are still Housekeeping will clean the rooms daily, but will not available. The number of rooms being held for make the beds. Clean towels will be exchanged for used late comers is quite small, and everyone is urged to as needed at a central location. Rooms are equipped preregister and obtain housing in advance in order to with desks and chairs, dressers, and table lamps. Most avoid disappointment. Again, no guarantee can be rooms have two single beds. made that the university will be able to make No pets are allowed in the residence halls. Alcoholic rooms available for 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 residence halls are air-conditioned. telephones and campus telephones in the public lobby The floors are circular, with 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 occupy a room located. Elevators stop only on floors with common at the same 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 the same room with a parent and occupy a bed at no 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.

394 TIMETABLE

WEDNESDAY, August 19 American Mathematical Society Other Organizations

8:00a.m. - 9:00a.m. liME - DUTCH TREAT BREAKFAST University Towers Dining Room SPECIAL SESSIONS 8:00a.m. - 9:50a.m. Topics in complex analysis II 113 LS 8:00 a.m. - 10:25 a.m. Complex geometr~· and mathematical physics II 111 LS 8:00a.m. - 10:20 a.m. Knots, Jinks, and 3-manifolds I I 109 LS SESSIONS FOR CONTHIBUTED PAPERS I 8:00 a.m. - 10:55 a.m. Combinatorics, number theory and algebra 104 DLH 8:00a.m. - 9:40a.m. Analysis, functional analysis and operator theory 107 DLH I 8:30 a.m. - 4:30 p.m. REGISTRATION Lobby, Litchfield Tower A 8:30 a.m. - 4:30 p.m. A MS BOOK SALE MAA BOOK SALE Litchfield Towers "''ain Lobby I Litchfield Towers Main Lobby 8:30a.m. - 4:30 p.m. EXHIBITS Litchfield Towers Main Lobby SPECIAL SESSIONS I . 8:30 a.m. - 10:50 a.m. Numerical analysis 106 DLH 9:00 a.m. - 10:50 a.m. Kleinian groups I 107 LS 9:00a.m. - 9:50a.m. SESSION ON MATHFILE: A new AMS service William J. LeVeque John L. Selfridge 120-121 DLH 9:10 a.m. - 11:30 a.m. liME- CONTRIBUTED PAPER SESSION 105 DLH SESSION FOR CONTRIBUTED PAPERS 9:45a.m. - 10:55 a.m. Group theory and generalizations 107 DLH 10:00 a.m. - 11:00 a.m. INVITED ADDRESS Some problems in the theory of Hardy spaces Peter W. Jones 120-121 DLH 11:10 a.m. - 12:10 p.m. COLLOQUIUM LECTURE II Units and class numbers in algebraic geometry and number theory Serge Lang 120-121 DLH 12:15 p.m. - 1:15 p.m. CONCEHT Heinz Memorial Chapel 1:20 p.m. - 2:10 p.m. MAA - INVITED ADDRESS Astrophysics and cosmology Cyril Hazard 120-121 DLH 2:20 p.m. - 3:10 p.m. MAA - INVITED ADDRESS The interaction of complex-analytic geometry and theoretica I physics R. 0. Wells, Jr. 120-121 DLH 2:20 p.m. - 3:10 p.m. MAA - INVITED ADDRESS Statistics and the Jaw Mary W. Gray 111 LS 3:20 p.m. - 4:20 p.m. Association for Women in Mathematics PANEL DISCUSSION: Women mathema­ ticians in the '80's 113 LS 3:20p.m. - 4:10p.m. MAA - INVITED ADDRESS On the way primes, sums of squares and other integer sequences are distributed Heinl Halberstam 120-121 DLH

395 Accommodation in Litchfield Towers for those daily until some time later during the meetings, when occupying rooms during the period Sunday, August 16, it will revert to 8:00 a.m. to 4:00 p.m. daily operation. through Thursday, August 20, includes breakfast and At check-in time, participants will receive one key, lunch August 17- 21. The rates are as follows: which will unlock the front door of the residence hall, Single Occupancy $18/day and the sleeping room door. Double Occupancy $14/day per person Bruce Hall (8 on the campus map). Participants Those occupying rooms Friday and/or Saturday, bringing their families will be assigned to this residence August 14 and 15, or Friday, August 21, would pay hall. Some suites may also be available to nonfamily reduced rates because no food service is available the groups of three or more, upon request. This residence following day. These rates are as follows: hall is not air-conditioned. The rooms are arranged Single Occupancy $12/day in suites, each suite containing from one to three Double Occupancy $ 8/day per person bedrooms, a living area, kitchenette, and bath. The Those requesting single rooms in Litchfield Towers rooms are somewhat larger than in the other residence beginning on August 14 or 15 must submit a deposit halls. Participants should be aware that there may be of $12, and those requesting double rooms beginning some bunk beds in the larger bedrooms. Participants on those dates $16. Those requesting single rooms should bring their own cooking utensils. beginning on August 16 or later should submit a Accommodation in Bruce Hall for those occupying deposit of $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 Jccupancy $ 9/day per person The number of rooms available here is limited. If Those requesting single rooms in Bruce Hall the Housing Bureau is unable to obtain a room in beginning on August 14 or 15 must submit a deposit Forbes for anyone so requesting, the Bureau will obtain of $13, and those requesting double rooms beginning a room in Litchfield Towers instead. The rooms are on those dates $18. Those requesting single rooms arranged so that a pair of rooms shares a connecting beginning on August 16 or later should submit a room containing a wash basin and toilet. Community deposit of $19, and those requesting double rooms $30. showers are at either end of the wings. There is elevator Participants receiving confirmations for rooms in service; kitchen and laundry facilities are located on Bruce Hall regardless of arrival date should check in each floor. Participants are advised to bring their own upon arrival at the desk in the main lobby of Litchfield kitchen utensils and laundry detergent. No irons or Towers, which is open twenty-four hours daily. 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 16, and the suite door. through Thursday, August 20, includes breakfast and Food Services lunch August 21. The rates are as follows: 17- Breakfast and lunch for those participants staying Single Occupancy $19/day in university accommodations will be served in the Double Occupancy $15/day per person University Towers Dining Room, located in the lower Those occupying rooms Friday and/or Saturday, level of the Litchfield Towers Residence Hall. Breakfast August 14 and 15, or Friday, August 21, would pay will be served from 6:30 a.m. to 8:30 a.m. and lunch reduced rates because no food service is available the from 11:30 a.m. to 1:00 p.m. The dining hall will not following day. These rates are as follows: be open for dinner. Food service will begin with Single Occupancy $13/day breakfast on Monday, August 17, and end with Double Occupancy $ 9/day per person lunch on Friday, August 21. Those attending the Those requesting single rooms in Forbes Residence 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 a Participants must show their room key and tag to deposit of $19, and those requesting double rooms $30. the dining hall cashier as proof of payment in advanr-e Participants receiving confirmations for rooms in for meals. Forbes Residence Hall on August 14 should check in at Children 16 years of age and under staying free the main desk at Forbes after 8:00 a.m. After August in the residence halls with parents may eat, breakfast 14, the desk at Forbes will be open twenty-four hours and lunch in the University Towers Dining Room also.

396 TIMETABLE

WEDNESDAY, August 19 American Mathematical Society Other Org-anizations

3:20 p.m. - 4:10 p.m. MAA- INVITED ADDRESS Community College-fast-paced mathematics John R. Starmack 111 LS 3:30 p.m. - 5:00 p.m. liME - CONTRffiUTED PAPER SESSION 105 DLII 4:20 p.m. - 5:10 p.m. ) MAA - INVITED ADDRESS About that text you are planning to write Marvin R. Schlicting 111 LS 4:20 p.m. - 5:20 p.m. AWM- MEMBERSHIP MEETING 113 LS 4::l0 p.m. - 6:00 p.m. A REPORT Circular A-21: Cost principles for educational institutions Serge Lang 120-121 DLH 5:30 p.m. - 7:00 p.m. MAA- RECEPTION Hosted by the Allegheny Mountain Section of the Association East Wing, Lothrop Hall 7:00 p.m. - 7:30 p.m. AMS-MAA-SIAM Progress report on the work of a Congressional Fellow Cheryl G. Tropf 120-121 DLH 7:00 p.m. - 9:00 p.m. MAA - MINICOURSE I The use of computers to teach mathematics Donald 0. Norris 211 DLH 7:30 p.m. - 9:00 p.m. MAA- SPECIAL EVENING SESSION Microcomputer graphics In under­ graduate mathematics Mark John Christensen Roy E. Myers Gerald J. Porter (moderator) 120-121 DLH

THURSDAY, August 20 AMS

SPECIAL SESSION 8:00 a.m. - 10:50 a.m. Topics in complex analysis III 113 LS SESSION FOR CONTRffiUTED PAPERS 8:00 a.m. - 10:25 a.m. Probability, statistics and applied mathematics 107 DLH I 8:30 a.m. - 4:30 p.m. REGISTRATION Lobby, Litchfield Tower A 8:30 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK SALE Litchfield Towers Main Lobby Litchfield Towers Main Lobby SPECIAL SESSIONS 8:30 a.m. - 10:50 a.m. Kleinian groups II 107 LS 8:30 a.m. - 10:20 a.m. Noncommutative ring theory I 106 DLH 9:00 a.m. - 10:50 a.m. Algorithms and complexity I 104 DLH 10:00 a.m. - 11:00 a.m. INVITED ADDRESS Title not available Andrew Casson 120-121 DLH 11:10 a.m. - 12:10 p.m. COLLOQUIUM LECTURE Ill Units and class numbers In algebraic geometry and number theory Serge Lang 120-121 DLH 1:00 p.m. - 2:00 p.m. INVITED ADDRESS Singularities Shreeram Abhyankar 120-121 DLH

397 Parents should pay for these meals in advance at check­ their meeting badge, if so requested. The fees for in time, in return for which they will receive another registration at the meetings are: room key tag for the child. The cost of breakfast is $2.40, and lunch $3.60. AMS Short Course Participants staying off campus may also purchase Student/Unemployed SlO lunch in the University Towers Dining Room by All Other Participants S30 purchasing a meal ticket in the cafeteria. Seconds are One-day Fee (Second Day Only) Sl5 allowed except when steak is served. Participants are Joint Mathematics Meetings asked to observe the university rule that no food or Member of AMS, MAA, flME S42 beverages are allowed out of the cafeteria. Nonmember S65 Breakfast is typically eggs, breakfast meat, choice Student/Unemployed Sll of cold cereal, assorted fruit juices, donuts, muffins, MAA Minicourse or toast, and fruit. A typical lunch would be choice of hamburger/cheeseburger, a hot entree, or a make­ All Participants Sl5 your-own, deli-style plate; salad bar and dessert. Fresh Registration fees may be paid at the meetings in baked goods. are featured at both meals. cash, by personal or travelers' checks, or by Visa or Hotel Accommodations Mastercard credit cards. Canadian checks must be Blocks of rooms have been set aside for use marked for payment in U.S. funds. by participants at the University Inn (formerly the There will be no extra charge for members of Crossgates Inn) and the Hyatt Pittsburgh. Participants the families of registered participants, except that should make their own reservations early directly all professional mathematicians who wish to attend with the hotels, and should identify themselves as sessions must register independently. participants in the Joint Mathematics Meetings. The All full-time students currently working toward a rates listed below are subject to change, and to a 7 degree or diploma qualify for the student registration percent tax. fees, regardless of income. The following codes apply: FP = Free Parking; SP The unemployed status refers to any person currently = Swimming Pool; AC = Air-Conditioned; TV = unemployed, actively ~K;eking employment, and who is Television; CL = Cocktail Lounge; RT = Restaurant. not a student. It is not intended to include persons who The age limit for children under which there is no have voluntarily resigned or retired from their latest charge, providing a cot is not required and they are in position. the same room with a parent, is shown in parentheses Nonmembers who register at the meetings and pay on the same line as the charge for an extra person in the $65 nonmember registration fee are entitled to the room. In all cases "Single" refers to one person a discount of the difference between the member in one bed; "Double" refers to two persons in one registration fee of $42 and the nonmember registration bed; and "Twin" refers to two persons in two beds. fee of S65 as a $23 credit against dues in either the AMS A rollaway cot for an extra person can be added or MAA or both, provided they join before September to double or twin rooms only. Participants will be 21, 1981. advised of deposit requirements by the hotels at time of confirmation. The distance from the meeting site is Nonmember students who register at the meetings given in parentheses after the address of the hotel. and pay the Sll registration fee are also entitled to a discount of the difference between the student University Inn (51 on the campus map) preregistration fee of $6 and the registration fee of Sll Forbes Avenue at McKee Place, 15213 as a S5 credit against dues in either the AMS or MAA (10 minute walk) or both, provided they join before September 21, 1981. Telephone: 412-683-6000 Nonmembers and nonmember students who thus Single: $42 Double: $49 qualify may join at the meetings, or by mail afterwards Extra person in room: $5 (12 years) up to the deadline. Code: FP, AC, TV, CL, RT Registration Dates and Times Hyatt Pitt1burgh (f on the campus map) 112 Washington Place, 15219 AMS Short Course (15-20 minutes by bus) Outside 111 Law School Telephone: 412-391-5900 Saturday, August 15 11:00 a.m. to 4:00 p.m. Single: $50 Double: $55 Twin: $55 Sunday, August 16 8:00 a.m. to noon Extra person in room: $12 (18 years) Joint Mathematics Meetings Code: SP, AC, TV, CL, RT [and MAA Minicourse (until filled)] Registration at the Meetings Lobby, Litchfield Tower A Sunday, August 16 4:00 p.m. to 8:00 p.m. Meeting preregistration and registration fees only Monday, August 17 8:00 a.m. to 4:30 p.m. partially cover expenses of holding meetings. All Tuesday, August 18, mathematicians who wish to attend sessions are through 8:30a.m. to 4:30 p.m. expected to register, and should be prepared to show Thursday, August 20

398 TIMETABLE

THURSDAY, August 20 American Mathematical Society

SP~:CIAL SESSIONS 1:00 p.m. - 3:50 p.m. Topics in complex analysis IV 113 LS 1:00 p.m. - 2:20 p.m. Knots, links and 3-manifolds II 109 LS 1:00 p.m. - 3:20 p.m. Algorithms and complexity II 104 DLH SESSION FOR CONTRffiUTED PAPERS 1:00 p.m. - 2:40 p.m. Measures and topological analysis 107 DLH 2:10 p.m. - 3:10 p.m. INVITED ADDRESS Existence and smoothness of solutions for some linear differential equations: Connections with group representation theory and applications to several complex variables 1 Linda Preiss Rothschild i 120-121 DLH I 4:00 p.m. - 5:00 p.m. STEELE PRIZE SESSION 120-121 DLH 5:00 p.m. - 6:00 p.m. BUSINESS MEETING 120-121 DLH 6:30p.m. PICNIC Schenley Park Athletic Shelter

FRIDAY, August 21 AMS

SPECIAL SESSIONS 8:00 a.m. - 10:50 a.m. Topics in complex analysis V 104 DLH 8:30 a.m. - 10:50 a.m. Noncommutative ring theory II 106 DLH 8:30 a.m. - 1:30 p.m. ASSISTANCE AND INFORMATION DESK Outside 120-121 DLH SESSION FOR CONTRffiUTED PAPERS 8:45 a.m. - 10:55 a.m. General and algebraic topology 107 DLH SPECIAL SESSION 9:00 a, m. - 10:50 a.m. Complex geometry and mathematical physics Ill 105 DLH 10:00 a.m. - 11:00 a.m. INVITED ADDRESS Efficient reducibility: A tool for measuring computational complexity Richard M. Karp 120-121 DLH 11:10 a.m. - 12:10 p.m. COLLOQUIUM LECTURE IV Units and class numbers in algebraic geometry and number theory Serge Lang 120-121 DLH 1:00 p.m. - 2:00 p.m. iNVITED ADDRESS Scattering, inverse scattering, and evolution equations Richard w. Beals 120-121 DLH SPf:CL'.L SESSIONS 1:00 p. m, - 4:20 p.m. Topics in complex analysis VI 104 DLH 1:00 p.m. - 2:50 p.m. Complex geometry and mathematical physics IV 105 DLH 1:00 p.m. - 3:20 p.m. Knots, links and 3-manlfo!ds Ill 106 DLH CONTRffiUTED PAPERS 1:00 p.m. - 2:40 p.m. Mathematics education and miscellaneous late papers 107 DLH

399 i '•

I /i

I'

,.... , / ,l'' :..\ .t':'

\ I'

I ,fJ:

400 Assistance and Infonnation Desk (/.) Lobby, David Lawrence Hall 2 8:30a.m. to 1:30 p.m. 0 Friday, August 21 Please note that the Joint Mathematics Meetings registration desk will not be open on Friday, August 21, and that the telephone message center will not be in operation. Other services provided during the meeting at the registration desk will also no longer be available (see section below on Registration Desk Services). There will, however, be a small desk set up outside 120 and 121 David Lawrence Hall where local information will be available and where a staff provide limited assistance to participants. LL member will LL No registration or cash transactions will be possible at 0 this desk. <(IIJUOUJLL\.?J: 0 REGISTRATION DESK SERVICES AMS /MAA Infonnation Information on the publications and activities of both organizations may be obtained at this section of the registration desk. Audio-Visual Aid A member of the AMS staff will be available to advise or consult with speakers on their audio-visual requirements. Baggage and Coat Check 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 before the desk closes for the day. Articles left after closing time cannot be reclaimed until the following morning. Articles not picked up at the end of the meeting will be turned over to the Department of Mathematics and Statistics. Check 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 enough cash on hand. Canadian checks must be marked for payment in U.S. funds. Assistance, Comments and Complaints Ln

401 of Pittsburgh, Pittsburgh, Pennsylvania 15260. Mail Book Stores and telegrams so addressed may be picked up at the The University of Pittsburgh Book Center at 4000 mailbox in the registration area during the hours the Fifth Avenue is open from 8:30 a.m. to 5:00 p.m., registration desk is open. U.S. mail not picked up will Monday through Friday. Other book stores in the area be forwarded after the meeting to the mailing address are the Atlantic Book Shop at 3714 Forbes Avenue, given on the participant's registration record. and Jay's Book Stall at 3604 Fifth Avenue. Loeal Infonnation Camping This section of the desk will be staffed by members of the Local Arrangements Committee and Camping facilities are available at the following other volunteers from the Pittsburgh mathematical Pennsylvania State Parks within a fifty-mile radius of community. Pittsburgh: Keystone State Personal Messages Park, near New Alexandria, Penn­ sylvania. Write to Department of Environmental Participants wishing to exchange messages during Resources, R.D. 2, Box 101, Derry, Pennsylvania the meetings should use the mailbox mentioned above. 15627 (telephone 412-668-2939). Message pads and pencils are provided. It is regretted Raccoon Creek State Park, near Frankfort Springs, that such messages left in the box cannot be forwarded Pennsylvania. Write to Department of Environ­ to participants after the meeting is over. mental Resources, R.D. 1, Hookstown, Pennsyl­ Telephone Messages vania 15050 (telephone: 412-899-2200). A telephone message center will be located in Additional information may be obtained from the registration area to receive incoming calls for the Office of Public Information, Department of participants. The center will be open from August 16 Environmental Resources, Box 2063, Harrisburg, through 20 only, during the same hours as the Joint Pennsylvania 17120. Mathematics Meetings registration desk. Messages The following private campgrounds are near will be taken and the name of any individual for Pittsburgh: whom a message has been received will be posted Campground '70', Bentleyville, until the message has been picked up at the message Pennsylvania 15314 (telephone 412-239-2737) center. The telephone number of the message center is 412-624-6628. Pittsburgh North KOA, Mars, Pennsylvania 16046 (telephone 412-776-1150) Transparencies Twilight Campground, Charleroi, Pennsylvania Speakers wishing to prepare transparencies in 15002 (telephone 412-483-6235) advance of their talk will find the necessary materials and copying machines at this section of the registration Washington KOA, Washington, Pennsylvania 15301 desk. A member of the staff will assist and advise (telephone 412-225-7590) speakers on the best procedures and methods for Child Care preparation of their material. There is a modest charge for these materials. Any facilities reasonably close to the university are either closed during August or not equipped for Visual Index short-term arrangements. The Local Arrangements An alphabetical list of registered participants, Committee will, however, have available a list of private including local addresses, arrival and departure dates, babysitters; ask at the Local Information Section of is maintained in the registration area. the registration desk. Crib Rental MISCELLANEOUS INFORMATION Cribs may be rented from the following, all of which Athletic Facilities are a considerable distance from the university: The following university athletic facilities are A-R-A A-Action Rental, Inc., 3038 Babcock available to participants: tennis courts, swimming Boulevard, Route 19 off 1-79 (telephone 412-931- pool, handball and squash courts, quarter-mile track, 2204). $11 per week picked up, or $22 per week basketball, softball, and baseball. A guest card will be delivered. issued at the main desk in Trees Hall, upon presentation A-R-A United States Rent Ails, 4856 Clairton of a residence hall key, to each person requesting the Boulevard (telephone 412-884-0300). $11.95 per use of athletic facilities. It is expected that a charge of week picked up, or $15.95 per week delivered. Sl will be made for the guest card. A to Z Rental Center, 4015 William Penn Highway, A running track and public golf course are in nearby Monroeville (telephone 412-856-7760). $10 deposit; Schenley Park. Jogging is possible in the park, and a $13 per week picked up, or $30 per week delivered. parcours is adjacent to the running track. (Note: A parcours is a sequence of stations for exercise fitted out Libraries with various types of facilities for exercise and a sign Reading room privileges will be extended to at each station outlining appropriate exercises.) participants at the university libraries. August hours

402 are from 8:30 a.m. to 5:00 p.m. Copies of the Uni­ Participants staying in Bruce Hall or off campus versity Library Guides will be available at the Local should obtain parking permits at the desk in Litchfield Information Section of the registration desk. Towers. Loeal Information Social Events Pittsburgh operates on Eastern Daylight Time during The Local Arrangements Committee has arranged the summer. The campus of the University of for tours of Fallingwater, the famous summer home Pittsburgh is located in a metropolitan area with a of the Kaufman family, designed by Frank Lloyd population of nearly 2,000,000, but is quite close to the Wright. These tours are scheduled for 1:00 p.m. on Schenley Park and Play Area, including the Schenley Tuesday, August 18, and Thursday, August 20. The Nature Museum, where nature trails and woodland admission fee is S3 per person, and there will be an settings are available to all. Also located in the area additional charge of S10 if transportation to and from are the Phipps Conservatory, one of the acclaimed Fallingwater is required. To arrive at Fallingwater by botanical gardens of the world; Carnegie Institute, 1:00 p.m., it will be necessary to leave Pittsburgh by which includes an art museum and a museum of 10:00 a.m. Interested persons must register for these natural history; Carnegie-Mellon University; and many tours, as admission to Fallingwater is by reservation only. At present there is provision for eleven people other points of interest. each day, but this can be increased if sufficient interest The Pittsburgh Pirates baseball team will play the is shown through preregistration. Check at the Local San Francisco Giants at Three Rivers Stadium on Information section of the registration desk. August 17, 18, and 19 at 7:30p.m., and the San Diego On Wednesday, August 19, a concert will be given Padres on August 21 and 22 at 7:30 p.m. For ticket in the Heinz Memorial Chapel at 12:15 p.m. by Dr. information and/or reservations, call 412-323-1150. Robert Sutherland Lord, organist and member of the Additional local information will be available at the University of Pittsburgh faculty. There will be no meeting. admission charge. The program will include Bach's The basic fare for local buses is 75 cents; exact Prelude and Fugue in E Minor (BWV 548), Chorale in change is required. Main bus lines to and from B Minor by Cesar Franck, and Allegro Vivace from the downtown run along Fifth Avenue; the trip takes 15 to Sixth Organ Symphony by Charles Marie Widor. 20 minutes. Maps and timetables for local bus routes A picnic will be held at 6:30 p.m. on Thursday will be available at the Local Information Section of evening, August 20, at the Athletic Shelter in Schenley the registration desk. Park, which is a pleasant walk from the campus. The Taxi fares are S2, plus Sl.20 per mile. (These fares menu will include grilled lamb legs, barbecued quartered are subject to change.) chicken, assorted cheeses, marinated vegetable salad, To drive from the campus to the downtown area, large Julian rolls, Syrian flatbread, watermelon, coffee, take S. Bouquet to Bates Street to the Boulevard of the tea, and soda. The tickets will be on sale at the Allies (heading west). Then either take US 22 West, or Transparencies section of the registration desk for SlO stay on the Boulevard and take "Crosstown." One can each. Unfortunately, there is provision for only 200 also take Bigelow Boulevard heading north; it will turn individuals, so that once that number is reaehed, west. no more tickets ean be sold. Travel Medieal Services Pittsburgh International Airport is served by If a medical emergency should arise in the residence American, Braniff, Eastern, Nordair, Northwest, Pied­ halls, please contact the front desk immediately. mont, TWA, USAir, and United Airlines. The trip from Otherwise, dial 2121 from campus phones, or 911 the airport to the city center is 17 miles, and normally from outside phones. For medical services of a less takes about 30 minutes; however, construction on the immediate nature, the Presbyterian-University Hospital parkway may extend the trip to 45 minutes. The (Bon the campus map) is located at DeSoto and O'Hara airport limousine presently costs S5.35. There is a Streets (telephone 647-3333); the Children's Hospital limousine which stops at several downtown hotels, one (C on the campus map) is located at 125 DeSoto which stops at Webster Hall, and one which stops at Street (telephone 647-5555); and the Magee-Women's the University Inn. Webster Hall and the University Inn Hospital (D on the campus map) is at Forbes and are quite close to the campus. Participants taking the Halket (telephone 647-4444). limousine to Webster Hall could walk to the campus; Parking those taking the limousine to the University Inn could then walk or get a taxi to the campus. A limited number of indoor parking places is available for participants receiving room assignments in Presently, the limousine schedules to Webster Hall and the University Inn from the airport are: Litchfield Towers. The fee for these spaces is S2/day. Permits and keys to the parking area can be obtained To Webster Hall- Each hour on the hour, 9:00 at the main desk in Litchfield Towers. a.m. to 9:00 p.m., Monday through Friday and Also, a limited number of outdoor parking places is Sunday. available for participants receiving room assignments To the University Inn- each hour on the hour, in Forbes Residence Hall. The fee here is also S2/day. 9:00 a.m. to 9:00 p.m. Monday through Friday and Permits can be obtained at the main desk in Forbes. 2:00p.m. to 9:00p.m. on Sunday.

403 Participants wishing to arrive or depart on Saturday way. The alternatives are worse- avoid rush hours must use the taxi service. Taxi fare from the airport Monday through Friday). From US-22 West, take Exit to the campus presently costs about S20. 7N, "Oakland." You will be on Bates Street heading Most major car rental agencies maintain desks at northeast. See campus map. the airport. From the south and southwest (including Pittsburgh Penn Central Station is served by Amtrak with two International Airport and 1-79 from the south), take trains daily from both east and west. US-22 East, which coincides with 1-279 and then with Participants driving to the meeting should be aware 1-376. From US-22 East, take Exit 5, "Forbes Avenue, that the city section in which the campus is located is Oakland." You will be on Forbes Avenue, heading called Oakland. The major city streets that go through northeast. See campus map. Oakland are Forbes Avenue (one way west to east) and Participants wishing to return to the airport should Fifth Avenue (one way east to west - watch out for the plan to take the limousine from either Webster Hall or reverse flow bus lane). The highway that goes through the University Inn. The present schedules are: Oakland has several names and numbers: US 22-30, From Webster Hall- Every hour on the hour, 7:00 1-376, Penn-Lincoln Parkway, and ''the parkway." a.m. to 8:00 p.m., Monday through Friday, and From the east, the best approach is via the 2:00 p.m. to 8:00 p.m. on Sunday. Pennsylvania Turnpike (same as 1-76 West). Routes From the University Inn - Ten minutes after the 1-70, 1-78, 1-81, and 1-83 have direct access to the hour, 7:10 a.m. to 8:10 p.m. Monday through Turnpike. Route 1-80 has many indirect accesses to the Friday, and 2:10p.m. to 8:10p.m. on Sunday. Turnpike, or, if you are not too far from Pittsburgh, to US-22 West. See below. Again, there is no Saturday service. From the west and north, take the Pennsylvania Weather Turnpike (same as 1-76 East). Route 1-79 from the Pittsburgh weather in August is unpredictable, north has direct access to the Turnpike. ranging from hot and humid to cool and rainy. August From the Turnpike, whether from east or west, temperatures range from 64°F to 84°F (1SOC to 2goc). take Exit 6, "Pittsburgh Interchange," to US-22 West, direction "to Pittsburgh." (Other exits may look Frank T. Birtel better, but they are not. Also, US-22 will undergo New Orleans, Louisiana Associate Secretary construction, and only one lane will be open each

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·

•Abhyankar, S. 99 *Cima, J. A. 100 *Harer, J. L. 163 *Maskit, B. 88 Abu-Khuzam, H. 44 *Coffman, C. V. 151 *Harmelin, R. 1 SO Massell, P. B. 168 Adeniran, T. M. 121 Cohoon, D. K. 167 *Hartmanis, J. 94 *Masur, H. 84 Anellls, I. H. 64 Comfort, W. W. 117 * Henrici, P. 4 *Mate, A. 113 Arkin, J. 169 Cox, D. C. 76 *Herman, R. H. 15 *Matelski, J. P. 58 Armstrong, T. E. 114 *Cozzens, J. H. 92 *Hill, C. D. 12 Maurer, S. B. 82 Aull, C. E. 136 *Culler, M. 107 Hill, D. M. 46 *McMillan, D. R., Jr. 108 *Axler,S. 127 *D'Angelo, J. P. 69 *Hoffmann, C. M. 96 *Metzger, T. A. 156 Azarnia, N. 47 Delahaye, J. P. 170 *Hughston, L. P. 143 *Milnor, T. K. 1 0 Bajaj, P. N. 138 *Duren, P. L. 6 *Isenberg, J. A. 7 *Minda, C. D. 1 OS Barrra, J. 48 • Effros, E. 14a •Jones, P. W. 66 Mollin, R. A. 43 *Barth, K. F. 18 Ehrmann, R. M. 166 *Kaiser, G. 1 59 *Montgomery, S. 129 *Beachy, J. A. 91 *Finley, J. D. Ill 160 Kalla, R. N. 120 *Neuwirth, L. P. 30 •Beals, R. 149 *FitzGerald, C. H. 3 *Kalka, M. 1 57 *Newman, E. T. 26 *Beatrous, F. 153 *Fix, G. J. 53 Kannappan, P. 11 S *Nicholls, P. J. 59 Beder, J. H. 75 *Fleury, P. 90 •Karp, R. M. 147 Nyikos, P. J. 134 *Bell, S. R. 68 *Freeman, M. B. 73 *Keen, L. 85 •Odlyzko, A. M. 17 Bellehsen, D. M. 83 Fuglister, F. J. 35 *Kiawe, M. 110 Papastavridis, S. G. 142 Benham, J. W. 38 *Fuller, K. R. 89 *Korenblum, B. 19 *Pederson, R. N. 152 *Berenstein, C. A. 123 Gaglione, A. M. 62 *Krantz, S. G. 70 *Perjes, z. 27 Bertram, E. A. 63 *Gilmer, P. M. 161 Krause, G. M. 172 *Peterson, J. S. 52 *Bloom, T. 72 *Goldberg, J. 24 Lambrinos, P. T. 119 *Plotnick, S. 164 *Book, R. V. 109 Goldstein, J. A. 45 Lane, E. 139 *Pool, R. 145 Book, S. A. 77 *Goldstein, M. 1 04 * Lanski, C. 132 *Porsching, T. A. 55 *Brennan, J. E. 20 Goodykoontz, J. T., Jr. 137 *Lapedes, A. S. 22 Porter, A. D. 41 *Bunce, J. W. 14 *Gordon, C. MeA. 32 *LeBrun, C. R. 9 *Porter, J. R. 25 *Burbea, J. 154 Gould, H. W. 34 *Livingston, C. 29 *Powers, R. T. 16 Byrne, C. L. 74 *Graham, I. R. 102 *Lugo, G. G. 11 *Przytyckl, J. H. 106 *Cannon, J. W. 57 *Greene, R. E. 1 03 *Luks, E. M. 111 Purl, P. 80 •Casson, A. 97 •Griess, R. L., Jr. 2 *Macbeath, A. M. 155 Putcha, M. 5. 65 *Chandra, A. K. 93 Gustafson, R. F. 141 *Martindale, W. S. Ill 130 Pye. W. C. 42 *Chen-Charpentier, B. 56 *Haas, A. 60 Maruyama, T. 79 *Range, R. M. 71

404 *Reiner, I. 131 *Sampson, G. 1 01 Spencer, D. E. 51 Weaver, J. R. 40 Rhoades, B. E. 49 *Schlafly, R. 146 Stein, A. H. 39 Wells, J. G. 36 *Rosenberg, J. 13 Schmidt, G. C. 171 Strassberg, H. 116 Wen, S.·L. 81 *Rosenthal, E. S. 112 *Schober, G. 5 *Suita, N. 124 Whitehead, E. G., Jr. 33 •Rothschild, L. P. 122 *Schwartz, j. T. 95 *Sumners, D. W. 162 *Wiegand, S. M. 133 *Rubel, L. A. 126 Semmes, S. W. 61 *Susskind, P. 86 Wu, H. j. 140 *Rudolph, L. 165 *Sheppard, M. 1 58 Terwilliger, P. 37 *Yasskin, P. B. 8 *Saitoh, S. 21 *Sibner, R. ]. 87 *Traldi, L. 28 *Zalcman, L. 125 *Salamon, S. 23 *Simon, J. K. 31 *Varga, R. S. 54 *Zalik, R. A. 128 Salzer, H. E. 7 8 *Sparling, G.A.J. 144 Vought, E. J. 135 Zayed, A. I. 50

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 August 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 pre· sent !Qe paper at the meeting. TUESDAY, 1:00 P. M. Colloquium lectures: lecture I, David lawrence Hall, Room 120-121 ( 1) Units and class numbers in algebraic geometry and number theory. Professor SERGE LANGE, Yale University

TUESDAY, 2:10P.M. Invited Address, David Lawrence Hall, Room 120-121 (2) Sporadic simple groups and linear algebra. Professor ROBERT L. GRIESS, JR., University of Michigan, Ann Arbor (788-20-118)

TUESDAY, 2:10 P. M. Special Session on Topics in Complex Analysis. I, Law School, Room 113 2:10- 2:30 (3) Bounds on the magnitude of derivatives of univalent functions. Preliminary report. Professor CARL H. FITZGERALD, University of California, San Diego (788-30-129) 2:40- 3:00 (4) A general theory of osculation algorithms for conformal mapping. Professor PETER HENRICI, Eidgenossische Technische Hochschule Zurich, Switzerland (788-30-137) 3:10- 3:30 (5) Applications of the second variation for univalent functions. Professor GLENN SCHOBER, Indiana University, Bloomington (788-30-79) 3:40- 4:00 (6) Support points with maximum radial angle. Professor P. L. DUREN*, University of Michigan, Ann Arbor, and Professor M. M. SCHIFFER, Stanford University (788-30-123)

TUESDAY, 2:10P.M. Special Session on Complex Geometry and Mathematical Physics. I, Law School, Room 111 2:10- 2:30 (7) Non-self-dual nonlinear gravitons: The conformal structure. Dr. JAMES A. ISENBERG* and Dr. PHILIP B. YASSKIN, University of California, Berkeley (788-83-98) 2:35- 2:55 (8) Non-self-dual nonlinear gravitons: The conformal factor. Dr. PHI Ll P B. YASSKI N* and Dr. JAMES A. ISENBERG, University of California, Berkeley (788-83-99) 3:00- 3:20 (9) Spaces of complex null geodesics and Einstein's equations. Professor CLAUDE R. LeBRUN, lnstitut des Hautes Etudes Scientifiques, Yvette, France, and State University of New York, Stony Brook (788-53-64) (Introduced by Professor R. 0. Wells, Jr.) 3:25- 3:45 (1 0) Harmonic maps from surfaces with indefinite metric. Professor TILLA KLOTZ Ml LNOR, Rutgers University, New Brunswick (788-58-45) 3:50- 4:10 (11) Einstein-Kohler geometry in twistor theory. Dr. GABRIEL G. LUGO, University of Kansas (788-83-21) 4:15- 4:35 (12) On the nonreai-

40S TUESDAY, 2:10 P. M. Special Session on C*-Aigebras and Applications, David Lawrence Hall, Room 104 2:10- 2:30 (13) K-theory and homotopy theory of C*-olgebras. Professor JONATHAN ROSENBERG, University of Maryland, College Park (788-46-56) 2:40- 3:00 (14) The spectral inclusion property for generalized Toep/itz operators. Professor JOHN W. BUNCE, University of Kansas (788-46-91) 3:10- 3:30 (14a) Aspects of C*-olgebraic K-theory. Professor EDWARD EFFROS, University of California, Los Angeles 3:40- 4:00 (15) Periodic automorphism groups of operator algebras. Professor RICHARD H. HERMAN, Pennsylvania State University, University Park (788-46-119) 4:10- 4:30 (16) Unanswered questions concerning AF-olgebras. Professor ROBERT T. POWERS, University of Pennsylvania (788-46-124)

TUESDAY, 3:20 P.M. Invited Address, David Lawrence Hall, Room 120-121 ( 17) Non transitive games, pattern matching, and other excursions into probability theory and combinatorics. ANDREW M. ODL YZKO, Bell Laboratories, Murray Hill (788-05-150) TUESDAY, 5:00 P. M. Council Meeting, Room 2P56 Forbes Quad

WEDNESDAY, 8:00 A. M. Special Session on Topics in Complex Analysis. II, Law School, Room 113 8:00- 8:20 (18) A bounded analytic function in the unit disk with a level set component of infinite length. Professor KARL F. BARTH*, Syracuse University, and Professor JAMES G. CLUNIE, Imperial College, England (788-30-22) 8:30- 8:50 ( 19) Description of Riesz measures for some classes of subharmonic functions. Preliminary report. Professor BORIS KORENBLUM, State University of New York, Albany (788-31-18) 9:00- 9:20 (20) Functions whose boundary values have a smooth modulus. Professor JAMES E. BRENNAN, University of Kentucky (788-30-136) 9:30- 9:50 ( 21) The representation of the Dirichlet integral in terms of the boundary values and the Garabedian function. Professor SUBUROU SAITOH, Gunma University, japan (788-30-17) (Introduced by Professor Jacob Burbea)

WEDNESDAY, 8:00 A. M. Special Session on Complex Geometry and Mathematical Physics. II, Law School 111 8:00- 8:20 (22) Functional integrals are dominated by complex stationary points. Dr. ALAN S. LAPEDES* and Dr. EMIL MOTTOLA, Institute for Advanced Study (788-83-147) {Introduced by Professor R. 0. Wells, Jr.) 8:25- 8:45 (23) Quaternionic structures and twistor spaces. Preliminary report. Dr. SIMON SALAMON, University of Maryland, College Prak (788-53-59) 8:50- 9:10 (24) The relationship between the Sparling equation and the "good cut" equation in general relativity. Preliminary report. Professor JOSHUA GOLDBERG, Syracuse University (Introduced by Professor R. 0. Wells, Jr.) 9:15- 9:35 (25) Plane wave H-spaces and superposition. Preliminary report. Professor JOHN R. PORTER, University of Pittsburgh, Pittsburgh (788-83-111) (Introduced by Professor R. 0. Wells, Jr.) 9:40-10:00 (26) A new variable for gauge theories. STEVEN KENT and Professor EZRA T. NEWMAN*, University of Pittsburgh, Pittsburgh (788-53-146) (Introduced by Professor R. 0. Wells, Jr.) 10:05-10:25 (27) Twistors and unitary space. Preliminary report. Professor ZOL TAN PERJES, Central Research Institute for Physics, Budapest, Hungary (788-83-66)

WEDNESDAY, 8:00A.M. Special Session on Knots, Links, and 3-Manifolds. I, Law School, Room 109 8:00- 8:20 (28) The linking numbers and the group of a link. Professor LORENZO TRALDI, Lafayette College (788-57-75)

406 8:30- 8:50 (29) Asymmetric links. Preliminary report. Professor CHARLES LIVINGSTON, Rice University (788-57 -139) 9:00- 9:20 (30) Projections of knots. Preliminary report. Dr. LEE P. NEUWIRTH, Institute for Defense Analyses (788-57 -60) 9:30- 9:50 (31) Low dimensional knot groups. Professor JON ATHAN K. 51 MON, University of Iowa (788-55-138) 1 0:00-10: 20 (32) Ribbon concordance of knots. Professor CAMERON MeA. GORDON, University of Texas, Austin {788-57-149) WEDNESDAY, 8:00A.M. Session on Combinatorics, Number Theory and Algebra, David Lawrence Hall, Room 104 8:00- 8:10 (33) Q-analoguing the chromatic polynomial. Professor JEFFREY B. REMMEL, University of California, San Diego, and Professor EARL G. WHITEHEAD, Jr.*, University of Pittsburgh, Pittsburgh (788-05-69) 8:15- 8:25 (34) New inverse series relations for finite and infinite series with applications. Professor H. W. GOULD, West Virginia University (788-05-133) 8:30- 8:40 (35) Moore geometries of diameter 4. Dr. FREDERICK J. FUGLISTER, Shepherd College (788-05-63) 8:45- 8:55 (36) On a class of vertex-transitive digraphs. II. Professor C. Y. CHAO, University of Pittsburgh, Pittsburgh, and Professor J, G. WELLS*, Pennsylvania State University, McKeesport (788-05-1 09) 9:00- 9:10 (37) The diameter of bipartite distance-regular graphs. Preliminary report. PAUL TERWI LUGER, University of Illinois, Urbana-Champagne (788-05-1 03) 9:15- 9:25 (38) Spinor genera and graphs. Preliminary report. J. W. BENHAM* and Professor J. 5. HSIA, Ohio State University, Columbus (788-10-116) 9:30- 9:40 (39) Exponential sums of an iterate of the binary sum-of-digits function. Professor ALAN H. STEIN, University of Connecticut, Waterbury {788-1 0-95) 9:45- 9:55 (40) Eigenvalues and eigenvectors of a certain stochastic matrix. Professor FRED C. BARNETT and Professor JAMES R. WEAVER*, University of West Florida, and Professor J. 5. FRAME, Michigan State University (788-15-3) 10:00-10:10 (41) Partitions of a skew matrix over a finite field. Preliminary report. Professor A. DUANE PORTER*, University of Wyoming, and Dr. NICK MOUSOURIS, General Dynamics-Convair Corporation, San Diego (788-15-117) (Introduced by Professor Joe Martin)

1 0: 1 5-1 0:25 (42) Flor type representations for nonnegative matrices satisfying A 5 = A 1• Professor W. C. PYE* and Professor M. W. JETER, University of Southern Mississippi (788-15-80) 10:30-10:40 (43) Class numbers of algebraic number fields. Dr. R. A. MOLLIN, Queen's University (788-16-11) 10:45-10:55 (44) Commutativity of rings with no nil ideals. Preliminary report. Dr. HAZAR ABU-KHUZAM*, University of Petroleum and Minerals, Saudi Arabia, and Professor ADI L Y AQUB, University of California, Santa Barbara {788-16-33) WEDNESDAY, 8:00A.M. Session on Analysis, Functional Analysis and Operator Theory, David Lawrence Hall, Room 107 8:00- 8:10 (45) Cosine functions and the Feynman-Kac formula. Preliminary report. JEROME A. GOLDSTEIN, Tulane University (788-35-24) 8:15- 8:25 (46) Discontinuities of certain functions related to real-valued quasi-unique maximality functions on R2 • Preliminary report. Professor DONALD M. HILL, Florida A&M University (788-26-134) 8:30- 8:40 (47) Tomita-Takesaki theory and operator-valued weights. Dr. NAZANIN AZARNIA, Miami University, Hamilton (788-47 -122) 8:45- 8:55 (48) The invariant subspaces of a Volterra operator. Professor JOSE BARRlA, I VIC Mathematica, Caracas, Venezuela (788-47 -50) 9:00- 9:10 (49) Spectral results for some Hausdorff matrices. Professor BILLY E. RHOADES*, Indiana University, Bloomington, and Dr. N. K. SHARMA, Higher Institute, Hoon, Libya (788-47-108)

407 9:15- 9:25 {50) Topological vector spaces of holomorphic functions. Dr. AHMED I. ZAYED, California Polytechnic State University {788-30-1 05) 9:30- 9:40 (51) Tensor calculi and the linear connection. MICHAEL CAVAGNERO, TOM ROBERTS, RANDY SEMAGIN and Professor DOMINA EBERLE SPENCER*, University of Connecticut, Storrs {788-53-102)

WEDNESDAY, 8:30A.M. Special Session on Numerical Analysis, David Lawrence Hall, Room 106 8:30- 8:50 (52) Mixed finite element methods for the stationary Navier-Stokes equation. Preliminary report. Professor JANET S. PETERSON, University of Pittsburgh, Pittsburgh {788-65-74) {Introduced by Professor Werner C. Rheinboldt) 9:00- 9:20 (53) Least squares finite eiement methods in the presence of singularities. Preliminary report. Dr. GEORGE J. Fl X* and Dr. ERNST STEPHAN, Carnegie-Mellon University {788-65-29) 9:30- 9:50 (54) On the LU decomposition of M-matrices by Gaussian elimination without pivoting Professor R. S. VARGA*, Kent State University, and Professor D.-Y. CAl, Qing­ Hua University, People's Republic of China {788-65-42) 10:00-10:20 (55) Level structure induced bandwidths. Preliminary report. Professor THOMAS A. PORSCHING, University of Pittsburgh, Pittsburgh (788-65-35) (Introduced by Professor Werner C. Rheinboldt) 10:30-10:50 {56) Numerical solution of steady and unsteady waves on deep water. Preliminary report. Dr. BENITO CHEN-CHARPENTIER, IIMAS-UNAM, Mexico {788-76-57) WEDNESDAY, 9:00A.M. Special Session on Kleinian Groups. I, Law School, Room 107 9:00- 9:20 {57) The 2-sphere-fi//ing Peano curve defined by the figure-eight knot. Preliminary report. Professor J. W. CANNON*, University of Wisconsin, Madison, and Professor W. P. THURSTON, University of Colorado, Boulder {788-30-43) 9:30- 9:50 (58) lntersector subgroups of Klein ian groups. Preliminary report. Professor J. PETER MATELSKI, State University of New York, Stony Brook 10:00-10:20 (59) Ford and Dirichlet regions for Fuchsian groups. Dr. ALAN F. BEARDON, Cambridge University, Great Britain, and Dr. PETER J. NICHOLLS*, Northern Illinois University {788-30-54) 10:30-10:50 (60) Linearization of automorphism groups of Riemann surfaces. Preliminary report. ANDREW HAAS, State University of New York, Stony Brook {788-99-164) WEDNESDAY, 9:45A.M. Session on Group Theory and Generalizations, David Lawrence Hall, Room 107 9:45- 9:55 (61) Endomorph isms of infinite symmetric groups. Preliminary report. STEPHEN W. SEMMES, Washington University (788-20-67) 10:00-10:10 (62) Some commutator identities. Preliminary report. Professor ANTHONY M. GAGLIONE*, United States Naval Academy, and Professor H. V. WALDINGER, Polytechnic Institute of New York (788-20-68) 10:15-10:25 (63) Lower bounds for the number of conjugacy classes in finite groups. Preliminary report. Professor EDWARD A. BERTRAM, University of Hawaii, Honolulu (788-20-1 00) 10:30-10:40 (64) Boolean groups. Dr. IRVING H. ANELLIS, University of Iowa {788-20-77) 10:45-10:55 (65) Idempotent cross-sections of regular ]-classes. MOHAN S. PUTCHA, North Carolina State University (788-20-53)

WEDNESDAY, 10:00 A.M. Invited Address, David Lawrence Hall, Room 120-121 (66) Some problems in the theory of Hardy spaces. Professor PETER W. JONES, University of Chicago {788-42-37)

WEDNESDAY, 11:10 A.M. Colloquium Lectures: Lecture II, David Lawrence Hall, Room 120-121 (67) Units and class numbers in algebraic geometry and number theory. Professor SERGE LANG, Yale University

408 THURSDAY, 8:00 A. M. Special Session on Topics in Complex Analysis. Ill, Law School, Room 113 8:00- 8:20 (68) The a-problem and proper holomorphic mappings. Preliminary report. STEVEN R. BELL, Princeton University (788-32-9) 8:30- 8:50 (69) Some remarks on plurisubharmonic functions. Professor JOHN P. D'ANGELO, University of Illinois, Urbana-Champaign (788-32-1 0) 9:00- 9:20 (70) Automorphism groups of strongly pseudoconvex domains. Professor ROBERT E. GREENE and Professor STEVEN G. KRANTZ*, University of California, Los Angeles (788-32-28) 9:3Q- 9:50 (71) Approximation of L 2-holomorphic functions on weakly pseudoconvex domains. Preliminary report. Professor R. MICHAEL RANGE, State University of New York, Albany (788-32-25) 10:0Q-10:20 (72) On the contact between complex manifolds and real hypersurfaces in tn. Professor THOMAS BLOOM, University of Toronto (788-32-15) 10:3Q-10:50 (73) Annihilating manifolds of a differential system. Preliminary report. Professor MICHAEL B. FREEMAN, University of Kentucky (788-53-44)

THURSDAY, 8:00A.M. Session on Probability, Statistics and Applied Mathematics, David Lawrence Hall, Room 107 8:0Q- 8:10 {74) Fourier transform estimation using conditional expected-value extrapolation, with applications to statistical regression. Professor CHARLES L. BYRNE, Catholic University of America (788-62-1 06) 8:15- 8:25 (75) Statistics without parameters. Preliminary report. Dr. JAY H. BEDER, University of California, Davis (788-62-130) 8:3Q- 8:40 (76) The best constant in Burkholder's weak-L 1 inequality for the martingale square function. Dr. DAVID C. COX, Battelle, Columbus Laboratories, Columbus, Ohio (788-6(). 71) 8:45- 8:55 (77) Least-absolute-deviations position finding. Professor STEPHEN A. BOOK, California State University, Dominguez Hills (788-62-2) 9:00- 9:10 (78) An explicit formula for osculatory rational interpolation. Dr. HERBERT E. SALZER, Brooklyn, New York (788-65-1) 9:15- 9:25 (79) A variational problem associated with the theory of optimal economic growth. Preliminary report. Professor TORU MARUYAMA, Keio University, Japan (788-49-61) 9:3Q- 9:40 (80) Unsteady flow of a dusty gas. P. K. KUI5HRESTHA and PRATAP PURl*, University of New Orleans (788-76-126) 9:45- 9:55 (81) Uniqueness theorems for cliff problem and for uniform sloping beaches. Professor SHIH-LIANG WEN* and Professor M.S. K. SASTRY, Ohio University, Athens (788-76-4) 10:00-10:10 (82) The consumption tax, horizontal redistribution, and aggregate saving. Professor STEPHEN B. MAURER* and Professor LAURENCE S. SEIDMAN, Swarthmore College (788-9().121) 10:15-10:25 (83) A model for the blood flow in the arterial tree. Professor D. M. BELLEHSEN, Hofstra University (788-92-84)

THURSDAY, 8:30A.M. Special Session on Kleinian Groups. II, Law School, Room 107 8:3Q- 8:50 (84) Two boundaries of Teichmiil/er space. Professor HOWARD MASUR, University of Illinois, Chicago Circle (788-32-76) 9:0Q- 9:20 (85) Limit sets of Klein/an groups. Preliminary report. Professor LINDA KEEN, City University of New York, Lehman College (788-3().143) 9:3Q- 9:50 (86) On Klein/an groups with intersecting limit sets. PERRY SUSSKIND, State University of New York, Stony Brook 1 O:OQ-1 0:20 (87) Symmetric tori and quadratic forms. Professor ROBERT J. SIBNER, City University of New York, Brooklyn College (788-3().148) 10:3Q-10:50 (88) Free and locally free Klein/an groups. Professor BERNARD MASKIT, State University of New York, Stony Brook (788-3().81)

409 THURSDAY, 8:30A.M. Special Session on Noncommutative Ring Theory. I, David Lawrence Hall, Room 106 8:30- 8:50 ( 89) Exactness of the double dual and Morita duality for Grothendieck categories. Professor R. R. COLBY, University of Hawaii, and Professor K. R. FULLER*, University of Iowa (788-16-82) 9:00- 9:20 (90) Chains of perfect rings. Preliminary report. Dr. PATRICK FLEURY, State University of New York, Plattsburgh (788-16-85) 9:30- 9:50 (91) Inversive localization. Preliminary report. Professor JOHN A. BEACHY, Northern Illinois University (788-16-114) 10:00-10:20 (92) Dickson orders. Preliminary report. JOHN H. COZZENS, Rider College (788-16-154) (Introduced by Professor Robert Gordon)

THURSDAY, 9:00 A. M. Special Session on Algorithms and Complexity. I, David Lawrence Hall, Room 104 9:00- 9:20 (93) Equivalence of free Boolean graphs, and applications. Dr. ASHOK K. CHANDRA, IBM Thomas J. Watson Research Center (788-68-52) (Introduced by Professor john E. Hopcroft) 9:30- 9:50 (94) On the structure of NP complete problems. Professor JURIS HARTMANIS, Cornell University (788-68-26) 10:00-10:20 (95) On the 2-dimensional "Piano Movers" problem. Dr. MICHA SHARIR, Tel-Aviv University, Israel, and Dr. JACOB T. SCHWARTZ*, New York University (788-68-40) 10:30-10:50 (96) On the role of group-theoretic algorithms in the P versus NP problem. Professor CHRISTOPH M. HOFFMANN, Purdue University, West Lafayette (788-68-27) (lntorduced by Professor john E. Hopcroft)

THURSDAY, 10:00 A.M. Invited Address, David Lawrence Hall, Room 120-121. (97) Title to be announced. ANDREW CASSON, University of Cambridge, England

THURSDAY, 11:10 A.M. Colloquium Lectures: Lecture Ill, David Lawrence Hall, Room 120-121 (98) Units and class numbers in algebraic geometry and number theory. Professor SERGE LANG, Yale University

THURSDAY, 1:00 P.M. Invited Address, David Lawrence Hall, Room 120-121 (99) Singularities. Professor SHREERAM ABHYANKAR, Purdue University, West Lafayette (788-14-89)

THURSDAY, 1:00 P.M. Special Session on Topics in Complex Analysis, IV, Law School, Room 113 1:00- 1:20 (100) A Car/eson measure theorem for the Bergman space on the ball. Professor JOSEPH A. CIMA* and Professor WARREN WOGEN, University of North Carolina, Chapel Hill (788-32-13) 1:30- 1:50 (101) Mapping theorems from Lq(b) to lfl(D) on bounded symmetric domains in en. j. MITCHELL, State University of New York, Buffalo, and G. SAMPSON*, Syracuse University (788-32-7) 2:00- 2:20 (1 02) Bloch functions and removable singularities. Professor JOSEPH A. CIMA, University of North Carolina, Chapel Hill, and Professor IAN R. GRAHAM*, University of Toronto (788-30-16) 2:30- 2:50 (103) Stability properties of invariant metrics and normal families. Professor ROBERT E. GREENE* and Professor STEVEN G. KRANTZ, University of California, Los Angeles (788-32-151) 3:00- 3:20 (104) Weak Arakelian sets. Professor MYRON GOLDSTEIN, Arizona State University (788-30-14) 3:30- 3:50 (105) Bloch constants. Professor C. DAVID MINDA, University of Cincinnati (788-30-39)

410 THURSDAY, 1:00 P. M. Special Session on Knots, Links and 3-Manifolds. II, Law School, Room 109 1:00- 1:20 (106) Almost Haken manifolds and incompressibility of surfaces after Dehn surgery. Professor JOZEF H. PRZYTYCKI, Columbia University and Warsaw University, Poland (788-57-115) 1:30- 1:50 (1 07) Varieties of group representations and sp/ittings of 3-manifo/ds. Professor MARC CULLER* and Professor PETER B. SHALEN, Rice University (788-57-159) 2:00- 2:20 (1 08) Cell-/ike sets in homotopy 3-spheres. Professor DANIEL R. McMILLAN, Jr., University of Wisconsin, Madi~on (788-57-86)

THURSDAY, 1:00 P.M. Special Session on Algorithms and Complexity. II, David Lawrence Hall, Room 104 1:00- 1:20 (1 09) Tractable problems of finite Thue systems. Professor RONALD V. BOOK, University of California, Santa Barbara (788-68-41)

1:30- 1:50 (11 0) The effect of bounding fan-out on size and depth of logical networks. H. JAMES HOOVER, Bell Northern Research, Ottawa, MARIA KLAWE* and NICHOLAS PIPPENGER, IBM Research, San Jose (788-68-65) 2:00- 2;20 (111) The complexity of permutation group problems. Professor EUGENE M. LUKS, Bucknell University (788-68-46) 2:30- 2:50 (112) The complexity of searching in partially ordered sets. Dr. ERIC S. ROSENTHAL, West Orange, New Jersey (788-68-47) 3:00- 3:20 (113) The NP = ?co-NP question and nonstandard models of arithmetic. ATTl LA MATE, Brooklyn College (788-68-78)

THURSDAY, 1:00 P.M. Session on Measures and Topological Analysis, David Lawrence Hall, Room 107 1:00- 1:10 (114) Singularity with respect to strategic measures. Preliminary report. Professor THOMAS E. ARMSTRONG*, MoorhP-ad State University, and Professor K. PRI KRY, University of Minnesota, Minneapolis (788-28-127) 1:15- 1:25 (115) On some functional equations from additive and nonadditive measures. IV. PL. KANNAPPAN, University of Waterloo (788-39-36) 1:30- 1:40 (116) The von Neumann kernel of a locally compact group. Dr. SHELDON ROTHMAN, C. W. Post Center of Long Island University, and Dr. HELEN STRASSBERG*, St. John's University, New York (788-22-34) 1:45- 1:55 (117) Compact groups: finer topologies and small dense subgroups. Professor W. W. COMFORT* and Professor LEWIS C. ROBERTSON, Wesleyan University (788-22-90) ( 118) Withdrawn 2:00- 2:10 (119) Weakly continuous lattices and the strong Scott-topology on function spaces. Preliminary report. Professor PANOS TH. LAMBRINOS, Virginia Polytechnic Institute and State University (788-54-92) 2:15- 2:25 (120) Fractional derivatives and Fox's H-function. Preliminary report. Dr. R.N. KALlA, Adrian College (788-33-1 01) 2:30- 2:40 (121) Continuously weakly invertible spaces. Preliminary report. Dr. TINUOYE M. ADEN I RAN, University of Science and Technology, Nigeria (788-54-155) THURSDAY, 2:10P.M. Invited Address, David Lawrence Hall, Room 120-121 2:10 (122) Existence and smoothness of solutions for some linear differential equations: connections with group representation theory and applications to several complex variables. Professor LINDA PREISS ROTHSCHILD, University of Wisconsin, Madison (788-35-88)

THURSDAY, 4:00P.M. Steele Prize Session THURSDAY, 5:00P.M. Business Meeting, David Lawrence Hall, Room 120-121

411 FRIDAY, 8:00A.M. Special Session on Topics in Complex Analysis. V, David Lawrence Hall, Room 104 8:00- 8:20 (123) Exponential-polynomials in en with a discrete set of common zeros. Preliminary report CARLOS A. BERENSTEIN, University of Maryland, College Park (788-32-20) 8:3o- 8:50 (124) On subaddltivity problem for analytic capacity. Professor NOBUYUKI SUIT A, Tokyo Institute of Technology, Japan (788-30-32) 9:0o- 9:20 (125) Potato kugel. LAWRENCE ZALCMAN, University of Maryland, College Park (788-30-12) 9:3o- 9:50 (126) Internal-external factorization in Lumer's Hardy spaces. Professor LEE A. RUBEL, University of Illinois, Urbana-Champaign (788-32-5) 10:0o-10:20 (127) Multiplication operators on Bergman spaces. SHELDON AXLER, Michigan State University (788-46-19) 10:3o-10:50 (128) A property of entire functions. Professor R. A. ZALIK, Auburn University, Auburn (788-30-23)

FRIDAY, 8:30A.M. Special Session on Noncommutative Ring Theory. II, David Lawrence Hall, Room 106 8:3o- 8:50 (129) X-inner automorphisms of filtered algebras. Professor SUSAN MONTGOMERY, University of Southern California (788-16-62) 9:0o- 9:20 (130) The normal closure of coproducts of domains. Professor WALLACE S. MARTINDALE Ill*, University of Massachusetts, Amherst, and Professor SUSAN MONTGOMERY, University of Southern California (788-16-96) 9:3o- 9:50 (131) Noncommutative number theory. Professor IRVING REINER*, University of Illinois, Urbana-Champaign, and Dr. C. J. BUSHNELL, King's College, London (788-16-51) 10:0o-10:20 (132) Solvable normal subgroups In prime rings. Professor CHARLES LANSKI, University of Southern California (788-16-48) 10:3o-1 0:50 (133) Intersections of prime ideals. Preliminary report. Professor SYLVIA M. WIEGAND, University of Nebraska, Lincoln (788-13-113)

FRIDAY, 8:45 A. M. Session on General and Algebraic Topology, David Lawrence Hall, Room 107 8:45- 8:55 (134) Versions of'YN. Preliminary report. Professor PETER J. NYIKOS, University of South Carolina, Columbia (788-54-120) 9:00- 9:10 (135) A classification of monotone decompositions of hereditarily unicoherent continua. Professor ELDON J. VOUGHT, California State University, Chico (788-54-104) 9:15- 9:25 (136) Extendability and expandabiflty (continuation). Professor C. E. AULL, Virginia Polytechnic Institute and State University (788-54-94) 9:3o- 9:40 (137) Fixed point sets of continuum-valued mappings. Professor JACK T. GOODY­ KOONTZ, JR.*, and Professor SAM B. NADLER, JR., West Virginia University (788-54-131) 9:45- 9:55 (138) Metrics and tolerances. PREM N. BAJAJ, Wichita State University (788-54-132) 10:00-10:10 (139) Insertion of a continuous function. Professor ERNEST LANE, Appalachian State University (788-54-6) 10:15-10:25 (140) Generalized Tychonoff theorem. Professor HUEYTZEN J. WU, Texas A& I University (788-54-8) 10:30-10:40 (141) An integral knot invariant. Preliminary report Professor RICHARD F. GUSTAFSON, State University of New York, College at Oneonta (788-55-107) 1 0:45-1 0:55 (142) Generators of H*(MSO; z2) as a module over the Steenrod algebra, and the oriented cobordism ring. Preliminary report. Professor STAVROS G. PAPASTAVRIDIS, University of Patras, Greece (788-57-38) (Introduced by Professor Joachim Grispolakis)

412 FRIDAY, 9:00A.M. Special Session on Complex Geometry and Mathematical Physics. Ill, David Lawrence Hall, Room 105 9:00- 9:20 (143) Extensions of massless fields into cps. Preliminary report Dr. L. P. HUGHSTON*, Lincoln College, Oxford, England, and T. R. HURD, Trinity College, Oxford, England (788-32-145) (Introduced by Professor R. 0. Wells, Jr.) 9:30- 9:50 (144) C. R. structures and twistor theory. G. A. J. SPARLING, University of Pittsburgh, Pittsburgh (788-53-142) (Introduced by Professor R. 0. Wells, Jr.) 10:00-10:20 (145) Yang-Mills fields and extension theory. Preliminary report. Dr. ROBERT POOL, Rice University (788-32-162) 10:30-10:50 (146) A Chern number for gauge fields on R4 • Preliminary report ROGER SCHLAFL Y, University of Chicago (788-53-11 0)

FRIDAY, 10:00 A.M. Invited Address, David Lawrence Hall, Room 120-121 (147) Efficient reducibility: A tool for measuring computational complexity. Professor RICHARD M. KARP, University of California, Berkeley (788-68-161)

FRIDAY, 11:10 A.M. Colloquium Lectures: Lecture IV, David Lawrence Hall, Room 120-121 (148) Units and class numbers in algebraic geometry and number theory. Professor SERGE LANG, Yale University

FRIDAY, 1 :00 P. M. Invited Address, David Lawrence Hall, Room 120-121 (149) Scattering, inverse scattering, and evolution equations. Professor RICHARD BEALS, Yale University (788-34-58)

FRIDAY, 1:00 P.M. Special Session on Topics in Complex Analysis. VI, David Lawrence Hall, Room 104 1:00- 1:20 (150) On sets of disjoint univalent meromorphic functions. REUVEN HARMELIN, University of Maryland, College Park and University of Kentucky (788-30-70) 1:30- 1:50 (151) Linear functionals on the space of harmonic LP functions. Professor CHARLES V. COFFMAN, Carnegie-Mellon University (788-31-73) 2:00- 2:20 (152) Estimates for inverse Fourier transforms of a class of temperate distributions. Professor R.N. PEDERSON, Carnegie-Mellon University (788-46-135) (Introduced by Professor Jacob Burbea) 2:30- 2:50 (153) Holomorphic interpolation from an open subset of the boundary. Professor FRANK BEATROUS, University of Pittsburgh, Pittsburgh (788-32-128) 3:00- 3:20 (154) Multiplication operators and positive-definiteness. Professor JACOB BURBEA* and Professor PES I MASANI, University of Pittsburgh, Pittsburgh (788-32-30) 3:30- 3:50 (155) Realization of marked polygons as Dirichlet regions. Professor A. M. MACBEATH, University of Pittsburgh, Pittsburgh 4:00- 4:20 (156) Gap series and automorphic forms. Professor THOMAS A. METZGER, University of Pittsburgh, Pittsburgh (788-30-31)

FRIDAY, 1 :00 P. M. Special Session on Complex Geometry and Mathematical Physics. IV, David Lawrence Hall, Room 105 1:00- 1:20 (157) Families of holomorphic maps. Preliminary report Professor MORRIS KALKA, Tulane University (788-32-55) 1:30- 1:50 (158) Twister models for particles. Preliminary report Dr. MICHAEL SHEPPARD, Mathematical Institute, Oxford, England (788-32-87) (Introduced by Professor R. 0. Wells, Jr.) 2:00- 2:20 (159) Holomorphic wave functions and their spectra. Preliminary report GERALD KAISER, University of Lowell (788-81-93) 2:30- 2:50 (160) The geometrical properties of HH spaces and some applications. Dr. J.D. FINLEY Ill. University of New Mexico (788-83-144) (Introduced by Professor R. 0. Wells, Jr.)

413 FRIDAY, 1:00 P.M. Special Session on Knots, Links and 3-Manifolds. Ill, David Lawrence Hall, Room 106 1:00- 1:20 (161) Some interesting non ribbon knots. Preliminary report. PATRICK M. GILMER, Louisiana State University, Baton Rouge {788-57-112) 1:30- 1:50 (162) Arbitrarily many different disk knots with the same exterior. Professor L. R. HITT, University of South Alabama, and Professor D. W. SUMNERS*, Florida State University {788-57-83) 2:00- 2:20 (163) The homology of the mapping class group. Preliminary report. Professor JOHN L. HARER, Columbia University (788-57-140) 2:30- 2:50 (164) Finite group actions and nonseparating 2-spheres. STEVEN PLOTNICK, University of Chicago (788-57-141) 3:00- 3:20 (165) Seifert ribbons for closed braids. Dr. LEE RUDOLPH, Columbia University (788-57-72)

FRIDAY, 1:00 P.M. Session on Mathematics Education and Miscellaneous Late Papers, David Lawrence Hall, Room 107 1:00- 1:10 (166) Math anxiety workshop. Sister RITA M. EHRMANN* and BEVERLY SCHORR, Villanova University {788-98-97) 1:15- 1:25 (167) Comparison of translational and spherical symmetry in dielectric structures by analysis of their responses to electromagnetic pulses. Dr. DAVID K. COHOON* and JOHN W. PENN, USAF School of Aerospace Medicine, San Antonio {788-78-156) 1:30- 1:40 (168) The new applied mathematics- What are the important techniques? Preliminary report PAUL B. MASSELL, United States Naval Academy (788-98-157) 1:45- 1:55 (169) Orthogonal Latin cubes. Honorary Professor JOSEPH ARKIN*, Spring Valley, New York, and Professor E. G. STRAUS, University of California, Los Angeles (788-05-152) 2:00- 2:10 (170) The partially ordered system of accelerable families. Professor J. P. DELAHA YE, Universite de Lille, France (788-65-158) 2:15- 2:25 (171) An existence theorem for an F. D. E. with advanced arguments. Preliminary report Dr. GARFIELD C. SCHMIDT, University of Lowell {788-39-160) 2:30- 2:40 (172) Representation of associative functions. Preliminary report Dr. GERIANNE M. KRAUSE, University of Waterloo {788-39-163) Tulane University Frank T. Birtel New Orleans, Louisiana Associate Secretary

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

ODD PRIMARY INFINITE FAMILIES IN STABLE HOMOTOPY THEORY by Ralph L. Cohen In this paper new infinite families in each odd Contents primary part of the stable homotopy groups of 1. Odd primary Brown-Gitler spectra spheres are constructed. Along the way to obtaining 2. H*(n2sn) as a module over the Steenrod algebra these elements there is a detailed study of the stable 3. The odd primary stable homotopy type of n2s2+n homotopy type of the double loop space of a sphere, 4. Applications to the stable homotopy groups of n 2 sn. This study includes an explicit computation spheres of its cohomology as a module over the Steenrod 5. Applications of the Adams-Novikov spectral algebra, the construction of odd primary analogues of sequence-more infinite families in p7r! Brown-Gitler spectra, and a demonstration of how Memoir Number 242, viii + 92 pages (soft cover) these spectra can be used to describe the stable homo­ List price $5.60, institutional member $4.20, topy type of n2sn. Finally, applications of the individual member $2.80 ISBN 0-8218-2242-X; LC 80-28537 Adams-Novikov spectral sequence based on the Brown­ Publication date: March 1981 Peterson spectrum are discussed. To order, please specify MEM0/242N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901.

414 Amherst, October 16-18, 1981, University of Massachusetts Second Announcement of the 789th Meeting

The seven hundred eighty-ninth meeting of the Combinatorial set theory, JAMES HENLEY and American Mathematical Society will be held at the STANLEY WAGON, Smith College. The speakers University of Massachusetts, Amherst, on October 16- include Marcia Groszek, Akihiro Kanamori, Eugene 18, 1981. The Five Colleges (Amherst, Hampshire, Kleinberg, Ned Rosen, Alan Taylor, Ron Watro, and Mt. Holyoke, and Smith Colleges, and the University William Zwicker. of Massachusetts, Amherst) are joint hosts for this Clwter analysis, MELVIN F. JANOWITZ, Uni­ meeting. versity of Massachusetts, Amherst. The speakers will Invited Addresses be announced. By invitation of the Committee to Select Hour Differential geometry and ergodic theory, A. Speakers for Eastern Sectional Meetings, there will be KATOK, University of Maryland, College Park. The four invited one-hour addresses. The speakers are as speakers include Michael Brin, Robert Brooks, Patrick follows: Eberlein, Brian Marcus, John Mather, Marina Ratner, Peter Sarnak, and Robert Zimmer. MELVYN S. BERGER, University of Massachu­ setts, Amherst, The confinement problem in non­ Topological transformation groups, LARRY N. linear gauge theories and in nonlinear analysis MANN and J. C. Su, University of Massachusetts, {tentative title). Amherst. The speakers include Ronnie Lee and Reinhard Schultz. 0. BETTANCOURT, Courant Institute of Mathe­ matical Sciences, New York University (title to be Discrete geometry and its applications, MAR­ announced). JORIE SENECHAL, Smith College. The speakrs will J. H. SAMPSON, Johns Hopkins University (title be D.L.D. Caspar, Robert Connelly, Jacob Goodman, to be announced). David Harker, Herbert Hauptman, David Klarner, Arthur Loeb, Richard Roth, Doris Schattschneider, CHUNG-TAO YANG, University of Pennsylvania, Steven Willson, and Hans Zassenhaus. Topological problems arising from the Blaschke conjecture. Most of the papers to be presented at these special sessions will be by invitation. However, anyone Special Sessions submitting an abstract for the meeting who feels that By invitation of the same committee, there will be his or her paper would be particularly appropriate for ten sessions of selected twenty-minute papers. The one of these special sessions should indicate this clearly topics of these special sessions, names of the organizers, on the abstract and submit it by July 30, 1981, three and partial lists of speakers are as follows: weeks before the deadline for contributed papers. Graph theory, MICHAEL 0. ALBERTSON and JOAN HUTCHINSON, Smith College. The speakers Contributed Papers include F.R.K. Chung, V. Chvatal, P. Edelman, P. There will also be sessions for contributed ten-minute Erdos, M. Gardner, R. Graham, C. Greene, J. Gross, papers. Abstracts should be sent to the American P. Hanlon, A. Hoffman, M. Saks, J. Spencer, A. C. Mathematical Society, P.O. Box 6248, Providence, Tucker, S. Whitesides, and H. Wilf. Rhode Island 02940, so as to arrive prior to the Nonlinear generalizations of Maxwell's equa­ deadline of August 20. Abstracts should be prepared tions, MELVYN S. BERGER, University of Mas­ on the standard AMS form available from the AMS sachusetts, Amherst, and LESTER J. SENECHAL, office in Providence or in departments of mathematics. Mt. Holyoke College. The speakers include Luis Caffarelli, Basil Gidas, Arthur Jaffe, Donald Rose, John Maxwell Symposium Stachel, Walter Strauss, Clifford Taubes, and Ricardo There will be a special symposium to commemorate Weder. the 150th anniversary of the birth of James Clerk Algebraic geometry, DAVID Cox, Amherst Col­ Maxwell. The symposium, which will begin on October lege. The speakers include Eduardo Cattani, Rob 16, has been arranged by the American Mathematical Lazarsfeld, Dave Morrison, Peter Norman, Henry Society and the Five Colleges Applied Mathematics Pinkham, and Steven Zucker. Group. It is anticipated that the symposium will be Hyperbolic geometry, ALAN H. DURFEE, Smith supported in part by a grant to the Five Colleges from College, and MARK KIDWELL, Amherst College. the National Science Foundation. The speakers will be announced. A partial list of the speakers who will present one­ Kac-Moody Lie theory, HOWARD GARLAND, hour invited addresses includes S. ADLER, Institute Yale University, and JAMES HURLEY, University for Advanced Study; G. W. MACKEY, Harvard of Connecticut. Speakers will be Stephen Berman, University; ROGER PENROSE, Oxford University; Igor Frenkel, Robert Griess, Arne Meuerman, James and IRVING E. SEGAL, Massachusetts Institute of Lepowsky, Dale Peterson, Alvany Rocha, and Nolan Technology. It is anticipated that several additional Wallach. speakers will be included in the program.

415 James Clerk Maxwell, the illustrious mathematical Univeraity Motor Lodge (1/4 mile from campus) physicist and applied mathematician, was born in 345 North Pleasant Street 1831. The famous Maxwell equations of electro­ Amherst 01002 magnetism defined and explained by a simple set of Telephone: 413-256-8111 linear partial differential equations, the entire gamut Single 144.40 Double 144.40 of electromagnetic phenomena known at his time and Willet• Hallowell Campua Ctr (10 miles from campus) for many decades after his death. Within the last (Mount Holyoke College) twenty years various nonlinear generalizations of College Street Maxwell's equations have come to the fore as key South Hadley 01075 research areas in mathematics, applied mathematics Telephone: 413-538-9741 and physical science generally. Among the areas Single 134 Double 140 involved are superconductivity, fusion energy, the (rollaway $10 extra) theory of semiconductors, and high energy and particle physics (Yang-Mills equations and nonlinear gauge Rooms have also been blocked at the following theories) to mention only a few. location, where reservations must be received by August The symposium will focus on those major aspects 15 and accompanied by a check to cover the cost of the first night's lodging. of contemporary research, emphasizing the connections between modern mathematics and physical science at Northampton Bilton Inn (12 miles from campus) the highest level. In addition, there will be several Junction Routes 91 & 5 lectures covering the general historical and scientific Northampton 01060 Telephone: 413-586-1211 aspects of Maxwell's work and its consequences throughout the mathematical and physical sciences. Single 135 Double 145

Registration Food Service The meeting registration desk will be located in the Meals will be available at the following campus first floor lobby of the Graduate Research Tower and locations on both Saturday and Sunday: Lincoln it will be open from 1:00 p.m. to 5:00p.m. on F;iday, Campus Center Coffee Shop will be open from 7:00 8:30a.m. to 4:00p.m. on Saturday, and from 8:30a.m. a.m. until 11:00 p.m.; Top of the Campus Restaurant to noon on Sunday. The registration fees will be UO (located in Lincoln Campus Center) will serve dinner for members, S16 for nonmembers, and 15 for students from 5:00 p.m. to 9:00 p.m.; Franklin Dining Commons and unemployed mathematicians. is open from 10:30 a.m. to 1:30 p.m., and from 4:00 p.m. to 6:30 p.m.; and Newman Center will be open Accommodations from 8:00a.m. to 3:30p.m. on Saturday, and from 8:00 a.m. to 10:00 p.m. on Sunday. Rooms have been blocked for participants at the following hotels or motels in the area. Participants Social Event should make their own reservations directly and mention the AMS meeting. Applicable tax is included A cocktail party and reception for participants will in all room rates except those for Motel 6 in South be held on Friday evening from 5:00 to 7:00p.m. at a Deerfield which do not include tax. It should also location to be announced. be n_oted that Motel 6 requires payment in cash only; Parking cred1t cards and personal checks will not be accepted. The deadline for reservations is October 1, except for Parking will be permitted in any of the parking the University Motor Lodge which has a September 1 lots on campus from 6:00 p.m. on Friday until 7:00 reservation deadline. ~.m. Monday morning. There is no charge for parking m these campus lots. The only restrictions apply to Lineoln Campua Center Hotel (located on campus) spaces indicated as reserved for handicapped, or towing University of Massachusetts Amherst 01003 zone areas. Telephone: 413-549-6000 Travel and Local Information Single 124 Double 132 The University of Massachusetts, Amherst is acces­ (3 persons 136) sible by air, bus, or automobile. In the town of Amherst Boward Johnson'• Motor Lodge (2 miles from campus) taxi service is extremely limited, but it is expected that 401 Russell Street Pioneer Valley Transit Authority (PVTA) bus service Hadley 01035 will be available to and from the campus. Telephone: 413-586-0114 Amherst is a 50 minute drive from Bradley Interna­ Single 149.69 Double 149.69 tional Airport in Windsor Locks, Connecticut, which Motel& (10 miles from campus) is served by such major airlines as American, Braniff, Routes 5 & 10 Delta, Eastern TWA, United, and USAir, in addition South Deerfield 01373 to Air New England and Bar Harbor. Participants Telephone: 413-665-2681 are advised to fly in and out of Bradley, since it is Single 112.95 Double 116.95 closer and more convenient than Logan International (3 persons 119.95) Airport in Boston. Traveltime operates a mini-bus

416 between the terminal at Bradley International Airport Amtrak trains stop at Springfield, where participants and the Springfield bus terminal, where passengers can connect to Peter Pan Bus Line for transportation can then connect with Peter Pan Bus Line to take to the University. them to Lincoln Campus Center at the University of Avis, Budget, Hertz, National, and Thrifty car rental Massachusetts, Amherst. Peter Pan provides service agencies are located at Bradley International Airport. from Springfield to the Campus Center on a frequent Persons driving to the meeting will find directions basis, and presently operates between the hours of 5:00 to the campus included on the route map below. a.m. and 11:30 p.m. Buses back to Springfield from the Campus Center presently operate from 9:25 a.m. Raymond G. Ayoub until 10:50 p.m. University Park, Pennsylvania Associate Secretary

Approaches to the University of Massachusetts Campus

FROM NORTH: Route 91 South to Exit 25 (So. Deerfield) FROM EAST or WEST: Massachusetts Turnpike (Route 90) onto Route 116 South to UMass Exit onto Massachusetts to Exit 4 (West Springfield) onto Route 91 North (Holyoke Avenue. Exit) to Exit 19 (Amherst) onto Route 9 to Route 116 North (left turn at lights) to UMass Exit onto Massachusetts FROM SOUTH: Route 91 North to Exit 19 (Amherst) onto Avenue (turn right). Route 9 to 116 North (left turn at lights) to UMass Exit onto Massachusetts Avenue (turn right).

north . I ·~~ #It/ I ~N .· ~ SYLVA"!. \ ... & I l

LINCOLN CAMPUS : U. CENTER .. C M "' d a a c(F•0m~u· i m a ~ : P a : ~ u l e a 8 BOYDEN D GYM

Howard johnson's Motor Lodge

... ···•••t

NOT IE: ... NOT OR4WN TO SCALE aauth

417 Austin, November 6-7, 1981, Sheraton-Crest Inn First Announcement of the 790th Meeting

The seven hundred ninetieth meeting of the Ameri­ Inverse and/or not-well-posed problems in par­ can Mathematical Society will be held at the Sheraton­ tial differential equations, JOHN R. CANNON, Crest Inn, Austin, Texas, on Friday and Saturday, University of Texas, Austin. November 6-7, 1981. Sessions will be held in the Smooth dynamical systems, CAROLYN C. second floor Convention Center of the Sheraton-Crest. NARASIMHAN, DePaul University, and ROBERT Invited Addresses F. WILLIAMS, Northwestern University. By invitation of the Committee to Select Hour Quasiconformal mappings, BRUCE P. PALKA, Speakers for Western Sectional Meetings, there will be University of Texas, Austin. four invited one-hour addresses. The speakers, their Number theory and related parts of analysis, titles, and the scheduled times of presentation are as JEFFREY D. VAALER, University of Texas, Austin. follows: Most of the papers to be presented at these special M.S. BAOUENDI, Purdue University, Overdeter­ sessions will be by invitation. However, anyone sub­ mined systems of complex vector fields and C.R. mitting an abstract for the meeting who feels that his functions, 11:00 a.m. Friday. or her paper would be particularly appropriate for one of these special sessions should indicate this clearly on JOHN M. FRANKS, Northwestern University, Structurally stable dynamics on surfaces, 1:45 p.m. the abstract and submit it by August 20, 1981, three Friday. weeks before the deadline for contributed papers. CAMERON MeA. GORDON, University of Texas, Contributed Papers Austin, A concordance of classical knots, 11:00 a.m. There will also be sessions for contributed ten-minute Saturday. papers. Abstracts should be sent to the American EDGAR REICH, University of Minnesota, Min­ Mathematical Society, P.O. Box 6248, Providence, neapolis, Plane quasiconformal mappings and Rhode Island 02940, so as to arrive prior to the analytic functions: Analytic and geometric aspects deadline of September 10. Abstracts should be of the boundary value problem, 1:45 pm. Saturday. prepared on the standard AMS form available from Special Sessions the AMS office in Providence or in departments of mathematics. By invitation of the same committee, there will be Information about registration, accommodations, five sessions of selected twenty-minute papers. The and travel will appear in the October issue of the topics of these special sessions and the names of the Notices. organizers are: Low-dimensional topology, R. H. BING, Univer­ Paul T. Bateman sity of Texas, Austin. Urbana, Illinois Associate Secretary

TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

BOUNDARY VALUE PROBLEMS 4. Systems of elliptic pseudodifferential equations FOR ELLIPTIC in a halfspace PSEUDODIFFERENTIAL EQUATIONS 5. Pseudodifferential operators with variable symbols by G. I. Eskin, translated by 5. F. Smith 6. Boundary value problems for elliptic pseudo­ The English edition differs from the Russian in differential operators in a bounded domain with that an Introduction and three new sections ( §§ 25- smooth boundary 27) have been added. Moreover, various corrections, 7. Applications improvements and remarks have been made by the author throughout the book, especially in Chapter 6. CONTENTS Volume 52, xii + 376 pages (hard cover) 1. Generalized functions and the Fourier transform List price $68.00, institutional member $51.00, 2. Boundary value problems for an elliptic pseudo­ individual member $34.00 ISBN 0-8218-4503-9; LC 80-39789 differential operator in a halfspace Publication date: May 1981 3. Smoothness of solutions of pseudodifferential To order, please specify MMONO/S2N equations Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

418 Santa Barbara, November 13-14, 1981, University of California First Announcement of the 791st Meeting

The seven hundred ninety-first meeting of the Algebraic geometry, KENT E. MORRISON, American Mathematical Society will be held at the California Polytechnic State University, San Luis University of California, Santa Barbara, on Friday and Obispo. Saturday, November 13-14, 1981. This meeting will be Rings and modules, JULIUS M. ZELMANQ­ held in conjunction with meetings of the Mathematical WITZ, University of California, Santa Barbara. Association of America (MAA) and the Society for Papers presented at these special sessions are Industrial and Applied Mathematics (SIAM). generally by invitation of the organizers. However, Invited Addresses anyone contributing an abstract for the meeting who feels that his or her paper would be appropriate for one By invitation of the Committee to Select Hour Speakers for Far-Western Sectional Meetings, there will of the special sessions should indicate this clearly on the abstract and submit it by August 24, 1981, three be two invited one-hour addresses. The speakers are: weeks before the deadline for contributed papers. TOM ENRIGHT, University of California, San Diego; the title of his lecture will be announced in the Contributed Papers October issue of the Notices. There will also be sessions for contributed ten-minute JOHN MILLSON, University of California, Los papers. Abstracts should be prepared on the standard Angeles, Cycles and harmonic forms on locally AMS form available from the AMS office in Providence symmetric spaces. or in departments of mathematics. They should be Speeial Sessions sent to the American Mathematical Society, P. 0. Box 6248, Providence, RI 02940, so as to arrive prior to the By invitation of the same committee, there will be five sessions of selected papers as follows: deadline of September 14, 1981. Late papers will be accepted for presentation at the meeting, but will not Convexity in functional analysis, KY FAN and appear in the printed program. STEPHEN SIMONS, University of California, Santa Information about registration, travel and accom­ Barbara. modations will appear in the October issue of the Theoretical computer science, MICHAEL L. Notices. FREDMAN, Department of Applied Physics and Information Science, University of California, San Hugo Rossi Diego. Salt Lake City, Utah Associate Secretary Network models in the social sciences, EUGENE Designate C. JOHNSEN, University of California, Santa Barbara.

SELECTED TABLES IN MATHEMATICAL STATISTICS Managing Editor, j. M. Davenport Each volume of this series contains one or more Mathematical Statistics. The purpose of the series is sets of extensive tables of interest to statisticians and to provide an outlet for tables of high quality and users of statistical methods. The introductory material utility which are too long to be published in a tech- for each set discusses method of computation, accu- nical journal. Each table is carefully checked for racy, methods of interpolation (when required), and accuracy before it is accepted. applications, and gives numerical examples of the use The editors for volume 7 are R. E. Odeh and of the tables. This series is edited by the Institute of W. j. Kennedy. THE PRODUCT OF TWO NORMALLY DISTRIBUTED RANDOM VARIABLES by William Q, Meeker, jr., Larry W. Cornwell, and Leo A. Arolan This volume contains tables of percentiles of the will be a useful addition to statistical, technical, and distribution of two (possibly correlated) normally scientific libraries. distributed random variables. Theoretical properties are reviewed, numerical methods are described, and Volume 7, viii+ 256 pages (hard cover) a number of references are provided. This distribu­ List price $12.40, institutional member $9.30, tion has applications in the fields of physical, engi­ individual member of AMS or IMS $6.20 ISBN 0-8218-1907-0; LC 74-6283 neering, biomedical, and social sciences as well as in Publication date: April 1981 auditing and other business applications. This volume To order, please specify TABLES/7N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

419 INVITED SPEAKERS November 1981 Meeting in Austin SESSIONS Deadline for comideration: August 20, 1981 AND SPECIAL R. H. Bing, Low-dimensional topology John R. Cannon, Inverse and/or not-well-posed Invited ~peakers problems in partial differential equations at AMS Meetings Carolyn C. Narasimhan and Robert F. Williams, The individuals listed below have accepted invita­ Smooth dynamical systems tions to address the Society at the times and places Bruce P. Palka, Quasi-conformal mappings indicated. For some meetings, the list of speakers is Jeffrey D. Vaaler, Number theory and related parts incomplete. of analysis Amherst, October 1981 November 1981 Meeting in Santa Barbara Melvyn S. Berger J. H. Sampson Deadline for consideration: August 24, 1981 0. Bettancourt Chung-Tao Yang Ky Fan and Stephen Simons, Convexity in functional Austin, November 1981 analysis Michael L. Fredman, Theoretical computer science M. S. Baouendi Cameron MeA. Gordon Eugene C. Johnsen, Network models in the social John M. Franks Edgar Reich sciences Santa Barbara, November 1981 Kent E. Morrison, Algebraic geometry Tom Enright John Millson Julius M. Zelmanowitz, Rings and modules

Organizers and Topics of Special Sessions Names of organizers of special sessions to be held RECIPROCITY at meetings of the Society are listed below, along with the topic of the session. Most of the papers presented AGREEMENTS at special sessions are by invitation. Other papers will be considered at the request of the author provided The Society has recently concluded reciprocity that this is indicated clearly on the abstract form and agreements with the Asoeiaci6n Matematica Espanola, the abstract is submitted by the deadlines given below. (Madrid) and with the Nigerian Mathematical Society. These deadlines are usually three weeks earlier than The listings below supplement those published in the the normal abstract deadlines for meetings. Papers June 1981 Notices, pages 340-344. be not selected for special sessions will automatically ASOCIACI6N MATEMATICA ESPANOLA considered for regular sessions unless the author gives specific instructions to the contrary. Apply to: Miguel de Guzman, President, Asoeiaci6n Matematica Espanola, Facultad de Matematicas, October 1981 Meeting in Amherst Universidad Complutense, Madrid 3, Spain. Deadline for consideration: July 90, 1981 Dues: SUSA 15 for members of the American Math­ Michael 0. Albertson and Joan Hutchinson, Graph ematical Society; payable to Asociaci6n Matematica theory Espanola. Melvyn S. Berger and Lester J. Senechal, Nonlinear Privileges: Boletin de la Asociaci6n Matematica generalizations of Maxwell's equations Espanola; Publicaciones de la Asociaci6n Mate­ Espanola (at reduced prices). David Cox, Algebraic geometry matica Officers: Miguel de Guzman, (President), Ireneo Peral Alan H. Durfee and Mark Kidwell, Hyperbolic Carrillo (Secretary). geometry (Treasurer), Maria T. Howard Garland and James Hurley, Kac-Moody Lie NIGERIAN MATHEMATICAL SOCIETY theory Apply to: 0. Akinyele (Secretary), Department of J. Henley and Stanley Wagon, Combinatorial set Mathematics, University of lbadan, lbadan, Nigeria. theory Dues: SlO; payable to The Nigerian Mathematical Melvin F. Janowitz, Cluster analysis Society. A. Katok, Differential geometry and ergodic theory Privileges: Journal of the Nigerian Mathematical Larry N. Mann and J. C. Su, Topological transfor- Society. mation groups Officers: A. Olubummo (President), E. N. Chukwu Marjorie Senechal, Discrete geometry and its ap­ (Vice President), I. B. Mohammed (Treasurer), 0. plications Akinyele (Secretary).

420 ELECTION INFORMATION

SUGGESTIONS FOR 1982 NOMINATIONS The ballots for election of members of the Council and Board of Trustees of the Society for 1982 will be mailed Council and Board of Trustees on or shortly after August 26, in order for members to Vice President (1) receive their ballots well in advance of the November 10 deadline. Prior to casting their ballots members are urged to consult the following articles and sections of the Bylaws Secretary (1) of the Society: article I, section 1; article ll, sections 1, 2; article m, sections 1, 2, 3, 4; article IV, sections 1, 2, 4; article vn, sections 1, 2. The complete text of the Associate Secretaries (2) Bylaws appears on pages 493-496 of the November 1979 issue of the Notices. A list of the members of the Council and Board of Trustees serving terms during 1981 appears in the AMS Report• and Communieation1 section of this Treasurer ( 1) issue. SUGGESTIONS FOR 1982 NOMINATIONS Associate Treasurer ( 1) Each year the members of the Society are given the opportunity to propose for nomination the names of those individuals they deem both qualified and responsive Representative to the American Journal of Mathematics (1) to their views and needs as part of the mathematical community. Candidates will be nominated by the Council to fill positions on the Council and Board of Trustees Member of the Bulletin Editorial Committee (1) to replace those whose terms expire December 31, 1982. See the AMS Reportl and Communieation• section of this issue for the list of current members of the Council and Member of the Colloquium Editorial Committee (1) Board of Trustees. Members are requested to write their suggestions for such candidates in the appropriate spaces on the form in the next column. Member of the Mathematical Reviews Editorial Committee REPLACEMENT BALLOTS (1) This year ballots for the AMS election will be mailed August 26, 1981 or within a day or two thereafter. The Member of the Mathematical Suroeys Editorial Committee deadline for receipt of ballots in Providence is November (1) 10, 1981. There has been a small but recurring and distressing problem concerning members who state that they have not Member of the Mathematics of Computation Editorial received ballots in the annual election. It occurs for several Committee (1) reasons, including failure of local delivery systems on university or corporate properties, failure of members to give timely notice of changes of address to the Providence Member of the Proceedings Editorial Committee (1) office, failures of postal services, and other human errors. To help alleviate this problem, the following replacement Members of the 7ransactions and Memoirs Editorial procedure has been devised: A member who has not Committee (3) received a ballot by October 10, 1981, or who has received a ballot but has accidentally spoiled it, may write after that date to the Secretary of the AMS, Post Office Box 6248, Providence, RI 02940, asking for a second ballot. The request should include the individual's member code and the address to which the replacement ballot should Members of the Committee to Monitor Problems in Communication be sent. Immediately upon receipt of the request in (2) the Providence office, a second ballot, which will be indistinguishable from the original, will be sent by first class mail. It must be returned in an inner envelope, which will be supplied, on the outside of which is the following Members-at-large of the Council (5) statement to be signed by the member: The ballot in this envelope is the only ballot that I am submitting in this election. I understand that if this statement is not correct then no ballot of mine will be counted.

signature Member of the Board of Trustees (1)

Although a second ballot will be supplied on request and will be sent by first class mail, the deadline for receipt The completed form should be addressed to AMS Nomi­ of ballots will not be extended to accommodate these nating Committee, Post Office Box 6248, Providence, RI special cases. 02940, to arrive no later than November 10, 1981.

421 LETTERS TO THE EDITOR

To the Members of the Soeiety expected. In addition, we were assured that the As my one-year AMS Postdoctoral Research Fellow­ organizing committee was in constant contact with the ship nears its completion, I wish to thank the members Department of Foreign Affairs of the Czech Academy of of the Society, especially those who contributed to Sciences and that the granting of visas for participants the Fellowship Fund, for providing me with this was "proceeding ordinarily." opportunity. Please continue to support this program. The very late cancellation of this meeting required Robert L. Sachs drastic changes of plans by speakers and participants, University of Wisconsin often at some personal cost and inconvenience. And as Madison to the local organizing committee, which had given so much time and energy to its preparation, we could only Logie Colloquium '80 imagine their great disappointment. Distressed by this For the first time in history a scheduled international situation, I and others in our Association made last­ meeting of the Association for Symbolic Logic (ASL) minute efforts to re-schedule the meeting elsewhere; has been cancelled. This was the conference: Logic however, these could not be realized because of the Colloquium 'SO-European Summer Meeting of the ASL, late date and unavailability of names of the intending which was to take place in Prague August 24-30, 1980, participants. principally under the auspices of the Mathematical In an effort to obtain a more substantive explanation Institute of the Czech Academy of Sciences. On for this abortion of the long and careful preparations July 15, 1980, just forty days before the meeting which had been made, I wrote Dr. A. Kufner, Director was due to start, participants were informed by cable of the Mathematical Institute of the Czech Academy, from the organizing committee that the meeting was presenting the facts listed above. The response by cancelled for "technical reasons." A letter which Dr. Kufner acknowledged the upsetting consequences followed two days later was no more informative; it of this cancellation but hardly enlightened us further. said the cancellation was "due to unforeseen technical His key statement was that "the circumstances had circumstances lying beyond the control of the organizing changed to such an extent that it was no longer possible committee." to guarantee successful and undisturbed proceedings The abrupt cancellation of this meeting was of the Colloquium." It is our belief that this is a surprising in view of its long advance preparation, veiled reference to questions and protests emanating as follows: from individual logicians and some European logic (1) The idea was initiated by our Czech colleagues groups as to the imprisonment in the Fall of 1979 of a in 1977 and pursued in 1978. In January 1979 the philosopher-logician, V. Benda; Amnesty International Council of the ASL approved Prague as the site of its had adopted Benda as a "prisoner of conscience." It is European summer meeting for 1980. certainly possible that some attending the conference (2) A local (Prague) organizing committee was might have wanted to raise this as a topic of discussion, formed in 1979 and representatives of the ASL were but there was no anticipation by the organizers that designated. In a letter from the committee dated this would lead to a disruption of the meeting. In any March 27, 1979, we were informed that the meeting case, all of this is purely speculative. had received approval by the Presidium of the Czech In the meantime I also wrote two related international Academy of Sciences, with the Mathematical Institute bodies to seek an independent investigation (informal (of the Academy) to be the main organizer. We were or formal) of the matter. These were the Division also told that the Czech members of the organizing of Logic, Methodology and Philosophy of Science of committee and the designated representatives of the the International Union of History and Philosophy of ASL had been approved by the Academy. A number Science (DLMPS/IUHPS) and the International Council of speakers (19) were invited forthwith. of Scientific Unions (ICSU). The ASL is represented (3) Subsequently we received three official printed in the DLMPS/IUHPS and has frequently received communications describing the program and detailing subventions from it in the past for our international information for participants concerning fees, accom­ meetings (including the one intended for Prague). modations, and visas. In the third and final com­ The IUHPS is in turn affiliated with the ICSU and munication, sent out in March 1980, there were listed adheres to the principles of the latter concerning the 36 invited speakers of international standing from organization of international scientific meetings; these Western and Eastern Europe, Israel, the U.S., and the principles are designed to insure the unfettered conduct U.S.S.R. These included many leaders in the field of of such meetings and the free participation of bona logic. fide scientists. My efforts to learn more via these (4) Meanwhile, representatives of the ASL were connections have so far been unsuccessful. kept personally informed of the state and progress of At the meeting of the ASL Council in San Francisco preparations. We were told that 398 inquiries had this last January the matter was discussed fully. In the been received, showing an exceptionally high level of Council's opinion Dr. Kufner's response was considered interest; an attendance of several hundred was thus to be unsatisfactory. It was suggested that I inform

422 various related scientific soc1et1es and Academies of for Mathematics on July 28, 1980, "to express the Science as well as the membership at large of what hope that the U.S. National Committee (and also took place. To this end I have sent copies of the corresponding committees in other countries) will act relevant correspondence to the British and French Logic affirmatively to avoid repeating the Helsinki omissions. Societies, the American Mathematical Society, the ... Going beyond the aforementioned resolution, but I American Philosophical Association, and the National believe still in its spirit, I would like to add that I hope Academies of Science of thirty countries (which together that the U.S. National Committee will be alert to the . represent 98% of our individual membership). Though importance of proposing invitations to mathematicians our organization is a small one relatively speaking, from other (U.S.) disadvantaged groups, such as Afro­ the blow to international cooperation which has been Americans and Hispanic-Americans. . . . I hope that suffered in this instance should be of particular concern you will be able to make a particularly thorough to these societies and may, one hopes, alert them to search, especially among younger colleagues coming avoid any further repetition of similar character. from disadvantaged groups, in the course of preparing Solomon Feferman, President your recommendations for the 1982 ICM's scientific Association for Symbolic Logic program." P.S. It was originally my intention to publish here I sent a copy of that letter to the President of the correspondence between Dr. Kufner and myself, the IMU, in the belief that he might wish to call its referred to above. However, the required agreement contents to the attention of national committees for was not acceded to in time for publication in the mathematics in other countries. present isssue of the Notices. On October 13, the Chairman of the U.S. National Berut'sverbot (Continued) Committee for Mathematics acknowledging my letter, wrote that "All members of the USNCM would be In the November 1980 Notices you published a letter by Professor Dr. Felscher, Tiibingen, in which happy if the list of the invited speakers for Warsaw he criticizes a decision made by the Council of the would include women, blacks and Hispanics." Earlier University of Oldenburg regarding the Berufsverbot in his letter, however, he reported that "The (U.S.) imposed upon Horst-Eckart Gross. National Committee is not recommending speakers for Concerning this matter I should like to explain the ICM. . . . They are not representatives of their that the above-mentioned decision of the Council, respective countries, or of other groups." made on the occasion of the refusal of Mr. Gross In recording publicly my regret that the U.S. as wissenschaftlicher Assistent by the Minister for National Committee for Mathematics is unwilling to Science and Art for political reasons, was made unan­ avail itself of an opportunity to assist in this very imously at that time. The Council is the highest mild form of affirmative action, I do so in the hope decision-making body of the University of Oldenburg, that other national committees for mathematics will composed of representatives of the professors, the find it possible, even at the late date at which this academic staff, students and nonacademic staff of the expression may reach them, to adopt a more positive technical and administrative services who are elected in view of this opportunity. Each national committee general and free elections. Therefore, any suspicion that has a far more detailed view of the scientific life of this body was manipulated by a small political group its own country than can be possessed by even the is absurd, and I decidedly reject it. In the decision of most outstanding, but necessarily small, international the Council mentioned above, a political basic attitude committee. Of course, I hope also that the new is expressed which is unanimously supported by all Consultative Committee will be sensitive to these political groups of the University of Oldenburg. problems. Horst Zillellen, President 2. It may be relevant to observe that all members University of Oldenburg of the U.S. National Committee for Mathematics are AfBrmative Aetion and the ICM male and white. The National Academy of Sciences No women were invited to address the most recent and National Research Council, which appoint this International Congress of Mathematicians (Helsinki Committee, will, I hope, act promptly to establish a 1978). At a meeting held during the Congress, a more appropriate composition. strong resolution was adopted criticizing this omission. Lee Lorch Invitations arise from the Consultative Committee, an York University international body established for each ICM by the Ontario, Canada International Mathematical Union (IMU). As a result of other controversies concerning the selection procedures, Response by Ben the IMU accorded to each National Committee for In connection with Lee Lorch's letter, your readers Mathematics (the official representative to the IMU may be interested in a longer quotation from my letter of each country adhering to the IMU) the right to to him: suggest speakers for the next Congress (August 1982, The U.S. National Committee for Mathematics Warsaw). These suggestions are to be sent to the new (USNCM) has received your letter. The National Com­ Consultative Committee to assist it in establishing the mittee is not recommending speakers for .the ICM. In next scientific program. our opinion such speakers should be and are selected as individual mathematicians, who have recently made 1. In the hope that this would provide a useful outstanding contributions. They are not representatives of mechanism, I wrote to the U.S. National Committee their respective countries, or of other groups. An enclosed

423 copy of a recent letter to the president of the IMU is Joint Authorship relevant in this connection. All members of USNCM would be happy if the list of An editor of Science (211 (1981), 1137-1139) has the invited speakers for Warsaw would include women, recently described the acceleration of the coauthorship blacks and Hispanics. of papers in biology and medicine. For certain medical The way to achieve this is to suggest appropriate names journals 95 percent of papers have multiple authorship, to the Consultative Committee, c/o President of the and it is asserted that papers in the New England IMU, Professor Lennart Carleson, Institut Mittag-Leffler, Auravagen 17, S-18262 Djursholm, Sweden. Journal of Medicine average "about five authors per My letter to Professor Carleson (of October 13) read paper." as follows: From time to time there are studies, especially by On behalf of the U.S. National Committee for sociologists, of team research in the sciences but so Mathematics (USNCM) I thank you for your letter of far as I am aware there has not been a comprehensive April 25, 1980, soliciting suggestions for Fields Medalists. study of joint authorship in mathematics. Usually, in The U.S. National Committee believes that the studies of collaboration, mathematics receives a cursory procedure whereby Fields Medals are awarded by a committee of distinguished mathematicians has operated treatment and is dismissed as the last arena of the judiciously and effectively in the past. The selection individual investigator. process should remain unaltered. From an examination of Mathematical Reviews A particular awards committee may find it desirable for 1980 (volumes 59 and 60) one discovers a total of to solicit names of possible candidates, and individual mathematicians can make suggestions. The USNCM feels, 411 titles with more than two authors. This is about however, that it is inappropriate for suggestions to be 2.2 percent of the 18,383 admissible titles. Of these made by a primarily administrative body, like itself. The 411 titles, only 23 correspond to titles with more than selection process, not merely for Fields Medal winners, three authors. but for invited lecturers as well, should be apolitical, and national, ethnic, religious, racial and sex considerations The number of papers jointly authored (i.e., with should play no part. Fields Medalists, or speakers at an at least two authors) is given in the following table ICM, should be chosen for their individual contributions which continues a table given in an earlier letter to the or expertise. Notices, June 1962, page 196. For these reasons the USNCM will not make any suggestions. We respectfully request that the issues raised Mathematical Reviews here be discussed in an appropriate forum of the IMU, and that the other national committees be appraised of this Number Number Percent letter. of jointly jointly The background for the position taken by the titles authored authored USNCM is as follows: Speakers at the ICMs are selected 1940 1,579 92 5.8 by a Consultative Committee consisting of outstanding 1950 3,298 214 6.5 mathematicians from many countries; the CC is aided 1960 4,393 473 10.8 by numerous specialized panels. Unfortunately a 1970 12,011 1,680 14.0 large percentage of Soviet invited speakers are always 1980 18,383 3,932 21.4 prevented from coming to the congress (only the congress held in Moscow was a pleasant exception). The 1970 and 1980 lines added to this table are Both Soviet winners of the Fields Medal were also not compatible with the first three lines in that the count allowed to attend the congress at which they were to of titles is from that part of Mathematical Reviews be honored. corresponding to subject classifications 00 through 58. Soviet official delegates often counter complaints W. R. Utz about this situation by demanding that a "bigger part" University of Missouri in determining the program be alloted to the National Columbia Committees. I am afraid that giving in to this demand may finally lead to the ICM being restricted to choosing its speakers from officially approved lists. * * * * * * * * * * * * * * * * * * * * * I believe our stand was in the best interest of EDITORS' NOTE. Several letters objecting to mathematics. the book review by Spencer Bloch in the March 1981 Lipman Bers issue of the Bulletin have been received by the editors. Columbia University These letters have not been published, since the apology Chairman, by the editors of the Bulletin has already been printed U.S. National Committee (June 1981 Notices, page 320). for Mathematics

424 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 received 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 Society, P.O. Box 6248, Providence, Rhode Island 02940 QUERIES ber of game periods. II. In addition to (1)-(4) above, assume (5) 0 < g $ 6. (6) 0 < m $ 24. (7) 243. Stephen A. Doblin (Department of Mathe­ 30 $ t $ 45. (8) 0 < t $ 600/p; 0 < t $ 1200/p. matics, University of Southern Mississippi, Hattiesburg, In each restriction case, for what values of n, m, Mississippi 39401). Consider a tournament in which n g, p, and t is this possible? Is there an algorithm for players participate. The tournament is composed of p scheduling the competition? game periods, each of duration t minutes. During any given period, m players participate. These m players 244. N.Y. Miekevie (Chair of Theoretical Physics, compose two-player teams, the membership of which P. Lumumba Peoples' Friendship University, Moscow changes after each period. During each period, two of 117302, USSR). Let R 2 be a multiconnected the teams compete in a game area, and there are g Riemannian (pseudo-Riemannian) two-space of a foam­ game areas. Restrictions: I. (1) m $ n, 4/m. (2) In like appearance. When treated approximately (using any game period, none of the four players in any game some averaging procedure), it can be considered as area may have played with or against each other during a higher-dimensional curved space (space-time) with a previous game period. (3) After each game period, a the Euclidean topology and some "average" dimension player must sit out at least one game period. (4) Each (say, four), under certain restrictions on its properties. of the n players must participate in the same num- Is anything known along these lines?

AVAILABLE FROM THE SOCIETY

LECTURES ON DIFFERENTIAL GEOMETRY by Su Buchin Policy on Leiters to Editor This book is a set of notes based on lectures delivered at Fudan University, Shanghai in 1978 Readers who wish to respond to letters published and 1979 by Su Buchin, professor of mathematics in this issue are urged to do so before October 1. Responses received by that date may be edited to reduce and president of Fudan University, to graduate stu· repetition and will be considered for publication in the dents as well as teachers from other institutions in January 1982 issue. China. Some selected topics in global differential Letters submitted for publication in the Notices are geometry are dealt with. Certain areas of classical reviewed by the Editorial Committee, whose task is to determine which ones are suitable for publication. differential geometry based on a modern approach The publication schedule requires from two to four are presented in Lectures 1, 3 and 4. Lecture 2 is months between receipt of the letter in Providence and on integral geometry in the Euclidean plane. It is publication of the earliest issue of the Notices in which it could appear. abridged from W. Blaschke's "Vorlesungen uber Publication decisions are ultimately made by majority lntegralgeometrie." In Lecture 5, Cartan's exterior vote of the Editorial Committee, with ample provision differential forms are introduced. Fruitful applica­ for prior discussion by committee members, by mail or tions in this area by S. S. Chern and C. C. Hsiung at meetings. Because of this discussion period, some letters may require as much as seven months before a are also discussed. final decision is made. This book is useful for students and researchers The committee reserves the right to edit letters. in the areas of differential geometry and theoretical The Notices does not ordinarily publish complaints physics and is one of the very few mathematical about reviews of books or articles, although rebuttals and correspondence concerning reviews in the Bulletin books written by a very renowned mathematician of the American Mathematical Society will be considered of the People's Republic of China accessible to for publication. English-speaking people. Letters should be mailed to the Editor of the "Through this book, Professor Su embarked in Notices, American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940, and will be global differential geometry. I am confident that acknowledged on receipt. the reader will be rewarded by this glimpse into a most active area in contemporary mathematics. " S. S. Chern Published by World Scientific Publishing Company 220 pages (soft cover) List price $7.00 25% discount for purchase of 10 or more copies To order, please specify DIFFGEOMIN

425 INTERNATIONAL CONGRESS OF MATHEMATICIANS

WARSAW POLAND

FIRST ANNOUNCEMENT

The Organizing Committee is pleased to announce ization of seminars. The social events will be described that the next International Congress of Mathe­ and the various possibilities for accommodation maticians will be held in Warsaw, from Wednesday, explained in detail, with all rates listed. A registration August 11 to Thursday, August 19, 1982. and room reservation form will be attached. If you wish to receive the Second Announcement, 1. Mathematic:al Program please print your name and address on the form below The work of the Congress will be divided into and mail it to reach the ICM-82 before October 15, nineteen sections. There will be four types of 1981. The Second Announcement will then be mailed activities at the Congress, namely (i) invited one-hour to you before the end of 1981. lectures {about 16), (ii) invited 45-minute lectures (about 130), (iii) short communications, and (iv) spontaneous seminars. Each of the one-hour lectures To: International Congress of Mathematicians, ICM-82, will survey the development of mathematics in some Sniadeckich 8, P.O. Box 137, 00-950 Warsaw, Poland. major area. I should like to receive the Second Announcement of the All invited lectures will be published in the ICM-82. (Please print your name and address three times). Proceedings of the ICM-82. A complimentary copy will be sent to each ordinary member of the Congress. All scientific activities of the Congress will be held at the Palace of Culture and Science, which is situated in the center of Warsaw. The 45-minute addresses will be given simultaneously in six rooms. English, French, German and Russian are the official languages of the Congress.

2. Social Events A reception, concerts and open-air entertainment will be arranged during the Congress. Orbis, the official travel agency of the Congress, will arrange short tours to various places in and around Warsaw. Orbis will also organize pre- and post-Congress tours to historical places in Poland. A description of those tours will be contained in the Second Announcement.

3. Aecommodation Lodging will be available in hotels of various categories and in students' dormitories. Less expen­ sive package accommodations will be provided.

~. Travel The Second Announcement of the ICM-82 will advise members as to their arrival to Warsaw, describe Congress activities in detail and explain how to register. It will inform about the mathematical program, with instructions concerning the short Please mail to reach the above address before October 15, communications and their abstracts and the organ- 1981.

426 NSF FUNDS TWO RESEARCH INSTITUTES Berkeley and Minneapolis

The National Science Foundation has awarded grants Modes panel, had the benefit of all prior evaluations, to the Mathematical Sciences Research Institute, Inc., conducted site visits, considered priorities in ·the in Berkeley, California, and to the University of context of needs of the research community and Minnesota in Minneapolis to establish two national budgetary alternatives, and prepared a report. This institutes for research in the mathematical sciences. report contained recommendations, both positive and The institutes are designed to attract and stimulate negative, for a wide range of modes of research support. first-class researchers in the mathematical sciences. The Coherent Modes panel consisted of R. H. The mathematics institutes will provide opportunities Bing (University of Texas; cochairman), Ronald for senior mathematics researchers, younger faculty G. Douglas (State University of New York, Stony members, and postdoctoral students to spend substan­ Brook; cochairman), Murray Gerstenhaber (University tial lengths of time concentrating on research projects of Pennsylvania), Friedrich Hirzebruch (Universitat in the mathematical sciences. Bonn), Jacques-Louis Lions (College de France), John The Berkeley institute, to be located on or near W. Milnor (Institute for Advanced Study), 0. Timothy the Berkeley campus of the University of California, O'Meara (University of Notre Dame), Raymond L. will support up to fifty senior and junior scholars Orbach (Physics, University of California, Los Angeles), working in areas of pure and applied mathematics Seymour Parter (University of Wisconsin, Madison), that are considered ripe for major advances. Each Ronald Pyke (University of Washington), Hartley year the staff of the institute, in consultation with Rogers, Jr. (Massachusetts Institute of Technology), its Scientific Advisory Council, will select two areas Halsey Royden (Stanford University), George B. of the mathematical sciences for concentrated study. Seligman (Yale University), and David Slepian (Bell The first year the focus will be on nonlinear differential Laboratories). equations and on numerical methods and statistics. William G. Rosen, Head of the Mathematical S. S. Chern will be director of the Berkeley institute, Sciences Section of the NSF is reported to be preparing and Calvin C. Moore will be associate director. The an account of the review process which led to a series award for the first year of the project will be at the of additional activities in the mathematical sciences to level of $1.6 million. be supported by NSF in 1982. These include the two The Minnesota institute will concentrate on ways Institutes, new special year programs, changes in the to bridge the gap between growth in certain areas fellowship program, a new series of short conferences, of pure mathematics and areas of other disciplines in and continued support for the Mathematics Research which mathematical discoveries might be applied. Each Center in Madison. The editors of the Notices hope year, a particular mathematical problem area in the to have an opportunity to publish such an account of biological, physical, engineering or social sciences will these events. be presented to the members of the institute. The first year will focus on statistical and continuum approaches The Berkeley Institute to phase transitions, or phenomena in which materials The Mathematical Sciences Research Institute in undergo abrupt changes in their physical properties. Berkeley will be run by a non-profit California Hans F. Weinberger will be director of the Minnesota corporation, and will not be a part of the University institute, and George R. Sell will be associate director. of California. The twenty-two member Board of The award for the first year will be at the level of Trustees consists of one representative of each of $800,000. the ten West Coast institutions which sponsor the Proposals to set up institutes where mathematicians corporation, ten members who are mathematical could pursue their research interests and, by interact­ scientists selected nationally and internationally in ing, stimulate new approaches to pure and applied order to represent disciplinary and geographic balance mathematics have been discussed throughout the past and to assure that the organization reflects the decade. The Foundation's involvement began in 1978 national mathematical community, and the Director when the National Science Board, polieymaking body and Associate Director, ex officio. The ten sponsoring of the NSF, approved in principle the Foundation's institutions are the University of California (Berkeley), interest in the creation of such institutes. Stanford University, California Institute of Technology, Three panels of mathematical scientists from the University of California (Santa Cruz), University of industrial and academic communities were involved California (Santa Barbara), University of California in the deliberations leading to the recommendations. (San Diego), University of Oregon, Oregon State Two of these panels had relatively limited mandates University, University of Hawaii, and the Lawrence and reviewed disjoint sets of proposals. The Berkeley Laboratory. At present the second group first panel evaluated proposals for a mathematical of trustees consists of Michael Atiyah, Hyman Bass, sciences research institute, the second panel evaluated Donald Burkholder, Phillip Griffiths, Paul Halmos, alternative ways to maintain the vigor of U.S. Vietor Klee, Shmuel Winograd, with three vacant seats mathematics research. The third panel, the Coherent expected to be filled soon.

427 In the steady state approximately fifty members are anticipated at the Institute at any one time, on appointments ranging from three months to two years. The actual FTE will be smaller and it is expected that many people will attend with partial support from their home universities in the form of sabbaticals or other fellowships. Each year there is to be special emphasis on two areas of the mathematical sciences. Generally one-third of the total resources will be devoted to each of the two areas with the remaining one-third of the appointments going to a broad spectrum of other areas of the mathematical sciences. During the first year the two areas of concentration will be nonlinear partial differential equations, and mathematical statistics. Official announcements of these areas are expected shortly at which time the Institute will solicit applications for membership for the first year of operation, 1982-1983. There were three co-principal investigators for the proposal to the NSF. They were Chern, Moore, and I. M. Singer, who also played a major role in initiating the project, and who will continue to participate in its development. S. S. Chem A building will be constructed by the University In addition to the Board of Trustees there is a of California on or near the Berkeley campus for the Scientific Advisory Council consisting of eight members Institute. Several possible sites on the campus are including the Director and Associate Director. Other currently under consideration. The site and design of members of the Council will be selected nationally the project and appointment of an architect are subject to represent important areas of mathematics. The to approval by the Regents of the University. Trustees are scheduled to meet annually, and the The proposed building for the Institute will consist Council twice a year; the latter will work closely with of approximately 15,000 gross square feet (11,200 as­ the Director and Associate Director on development signable square feet). The building will accommodate a of programs, choice of scientific staff and related mathematical sciences research program for fifty visit­ problems. The Scientific Advisory Council is to be ing scholars by providing fifty offices, administrative appointed by the Board of Trustees on nomination by space, a commons area, a library, and lecture and the Director. The Board of Trustees is scheduled to seminar rooms. Total cost of this project is estimated meet early this Fall, probably in September, at which to be $2,000,000. The building will be owned by time the Scientific Advisory Council is expected to be the Regents and leased to the Institute. The target appointed. date for completion of the new building is April 1983. The Institute will occupy temporary quarters on the Berkeley campus until the new building is completed. The Minneapolis Institute The Institute for Mathematics and Its Applications of the University of Minnesota is being developed to meet three major objectives, which are interrelated: • To bring together mathematicians from diverse fields in an atmosphere which will stimulate substantial collaborative efforts. • To facilitate the solution of the major outstanding problems in various areas of mathematics. • To encourage the development and study of fresh mathematical concepts and questions which are of concern to other sciences. The organizers believe that these objectives can best be accomplished by exposing the participants to a variety of problems which arise in the biological, physical, engineering, and social sciences in order to spawn new and challenging areas of mathematical research. These problems are to be presented by the leaders in a particular field, who may not Calvin Moore necessarily be mathematically oriented. A major part

428 of many such topics is the creation of a mathematical framework in which specific problems can be described and then analyzed. This effort will require the participation of the very best mathematical minds, most of whom have not been trained in what is called "applied" mathematics. The emphasis is to be on new applications rather than old ones, and the importance of including a major proportion of "pure" mathematicians in the activities of the Institute is constantly to be kept in mind. One's particular field of expertise is not nearly as important as his or her willingness to explore new problems and to think in new ways. Bringing together a group of first-rate mathe­ maticians is expected to produce joint work on out­ standing mathematical problems. Such collaboration is to be actively encouraged by inviting a number of participants from each of several areas of interest. Over the years the topics of study are to be chosen so that all major areas of mathematical research will be included. The organizers also consider it important that mathematicians with diverse fields of interest be present at the same time. The resulting cross­ fertilization is expected to produce new insights into important mathematical problems. These insights, together with the thrust into new areas of application, are expected to be sources of continual regeneration of the mathematical sciences. More information can be obtained from Hans Wein­ Board of Governors, which will give overall The berger, Institute for Mathematics and Its Applications, and supervision to the Institute, will include direction 127 Vincent Hall, 206 Church Street SE, University of Artin, Felix Browder, Wendell Fleming, Michael Minnesota, Minneapolis, Minnesota 55455; telephone Gehring, Ronald Graham, Reese Harvey, Frederick 612-373-5310. Shizuo Kakutani, Jiirgen Moser, James Serrin and Steve Smale. The first meeting of the Board is scheduled for early September 1981. The program for the first year, September 1982 to August 1983, is statistical and continuum approaches to phase transition. Recommendations for programs (and coordinators) for subsequent years are invited and should be sent to the address below. The Institute grant includes five postdoctoral fellowships. Additional fellowship support will come from generous contributions made by a group of eight midwestern universities and by several corporations. Fellowship recipients need not be trained in applied mathematics. The eight midwestern universities are Northwestern University, Indiana University (Bloomington), Michigan State University, Ohio State University, University of Chicago, University of Illinois (Urbana), University of Iowa, and University of Michigan (Ann Arbor). The following corporations have made contributions: Cray Research, Inc., Honeywell, Inc., Magnetic Controls Co., and 3M Corporation. Some support for visitors will be available. The School of Mathematics will provide several teaching assistantships for interested graduate students.

George Sell

429 NEWS AND ANNOUNCEMENTS

GREGORY CHUDNOVSKY AWARDED of interest of Salem, primarily on Fourier series and A Mat.ARTHUR FOUNDATION FELLOWSHIP related topics. Previous recipients have been Nicholas Varopoulos Gregory V. Chudnovsky, of Columbia University, is (1968), Richard Hunt (1969), Yves Meyer one of the twenty-one individuals selected in the Prize (1970), Charles Fefferman (1971), Thomas Korner (1972), E. Fellows Program recently announced by the John D. M. Niki§in (1973), Hugh Montgomery (1974), William and Catherine T. MacArthur Foundation of Chicago. Beckner (1975), Michael R. Herman (1976), S. B. Each of the twenty-one recipients will receive an annual Bockarev (1977), Bjorn E. Dahlberg (1978), Gilles award ranging from $24,000 to $60,000 (depending on Pisier (1979), and Stylianos Pichorides (1980). age) for five years. There are no restrictions of any kind The jury on use of the funds. John E. Corbally, President of the consisted of A. Zygmund, L. Carleson, J.-P. Kahane, Foundation, was quoted as reporting that "we wanted Ch. Pisot, and E. M. Stein. to give the Prize Fellows the greatest possible latitude JOHN ROBERT PASTA, 1918 -1981 we could - no strings attached - and to award enough John R. Pasta, Director of the Division money to provide the economic freedom they might of Mathe­ matical and Computer Sciences of the National need to devote themselves fully, if they wish, to their Science Foundation, own creative efforts in any field they choose- their died June 5, 1981. Pasta was born in New York City on October 22, 1918; he graduated own, or a new one, or any combination of fields." from City College of New York in 1946 and received Chudnovsky's award is expected to amount to $160,000 a Ph.D. in physics from New York University over the five-year period. in 1951. He was a member of the staff of Los Alamos Scientific Chudnovsky, who was born in Kiev 29 years ago, Laboratory from 1951 to 1956, and from 1956 to submitted his first written mathematical communica­ 1961 he was head of the Mathematics and Computing tion when he was 15 years old. His first published branch of the Division of Research of the AEC. From paper appeared in Doklady when he was 16. In 1961 to 1970 he was professor of physics and computer 1970, when he was 18, he won a prize of the Moscow science at the University of Illinois, Urbana, and was Mathematical Society. In 1974 he graduated from chairman of the Department of Computer Science there Kiev State University, and a year later he received a from 1964 to 1970. In 1970 he joined the NSF staff as doctoral degree from the Institute of Mathematics of head of the Office of Computing Activities, in 1973 he the Ukrainian Academy of Sciences. was promoted to Director of the Division of Computing In August 1980 the Chudnovsky's (Gregory, his Research, and in 1975 he became head of the Division brother David and their father, both of whom are of Mathematical and Computer Sciences. also mathematical scientists) were permitted to leave the Soviet Union after petitioning for two years for GEORGEWHAPLESMEMORIAL permission to do so. Gregory and David obtained Colleagues of George Whaples have suggested that research positions at Columbia University later in the contributions in his memory be made to the AMS same year. At the Annual Meeting of the Society Research Fellowship Fund, and they report that early last January, Gregory Chudnovsky gave an invited responses have been quite encouraging. hour address entitled An explicit solution of classical George William Whaples died on May 2, 1981, in and quantum field theory models and parallel Amherst, Massachusetts, at the age of 66. He was arithmetical problems: a unified approach. born in Neponset, Illinois, on November 27, 1914. He graduated from Knox College in 1935. After he MATHEMATICIANS ELECTED TO received his doctorate from the University of Wisconsin ACADEMY OF ARTS AND SCIENCES in 1939, Whaples was awarded a fellowship at Indiana The American Academy of Arts and Sciences recently University where he worked with Emil Artin. Two elected three mathematical scientists to its membership. years later he went to the Institute for Advanced Hyman Bass of Columbia University, James G. Glimm Study where he was assistant to Hermann Weyl. Most of Rockefeller University, and Lincoln E. Moses of of his professional life was spent on the faculties of Stanford University, are among 75 scholars, scientists, Indiana University, in Bloomington, where he became public figures, and artists chosen for membership in professor of mathematics in 1958, and the University the Academy. In addition, eleven foreign honorary of Massachusetts, in Amherst, where he served from members were elected. 1966 until his death. He also held faculty positions at Johns Hopkins, Wisconsin, Notre Dame, and the SALEM PRIZE University of Pennsylvania. He was an editor of the The Salem Prize for 1981 was awarded to Peter Duke Mathematical Journal and the Proceedings of Jones of the University of Chicago for his work on the American Mathematical Society. He served as a questions in Fourier analysis related to functions with member of the Council of the Society from 1962 to bounded mean oscillation. The prize, established in 1965. 1968, is given each year to a young mathematician who Contributions to the AMS Research Fellowship Fund is judged to have done outstanding work in the field should be made by check payable to the American

430 Mathematical Society clearly marked for the AMS Bowman, Union Carbide Corporation; Foster B. Cady, Research Fellowship Fund, in Memory of George Cornell University; Arthur Cohen, Rutgers University; Whaples. They should be mailed to the American Bradford R. Crain, Portland State University; Jonathan Mathematical Society, Post Office Box 1571, Annex Cryer, University of Iowa; Ralph B. D'Agostino, Boston Station, Providence, Rhode Island 02901. University; H. A. David, Iowa State University; Morris H. DeGroot, Carnegie-Mellon University; John L. GOODMAN PRESENTS Denny, University of Arizona; William A. Ericson, STATISTICAL SOCIETY LECTURES University of Michigan; Polly Feigl, University of Washington; D. A. S. Fraser, University of Toronto; Leo A. Goodman presented the Keynote Lecture M. Free, Smith, Kline and French Laboratories; at the 1981 Symposium on Discrete Data Analysis Spencer A. Ronald Gallant, Duke University; Donald P. sponsored by the American Statistical Association, Gaver, Naval Postgraduate School; Leon J. Gieser, Northern New Jersey Chapter, on May 11, 1981. Purdue University; Richard A. Groeneveld, Iowa The title of that lecture was The analysis of State University; James E. Gentle, International association, dependence, and the joint distribution Mathematical and Statistical Libraries, Inc.; Shelby in cross-classifications having ordered categories. J. Haberman, University of Chicago; Robert V. Goodman will also deliver the American Lecture at Hogg, University of Iowa; Myles Hollander, Florida the 1981 International Meeting on the Analysis of State University; Susan Dadakis Horn, Johns Hopkins Multidimensional Contingency Tables, at the University University; J. Stuart Hunter, Princeton University; of Rome, under the auspices of the Italian Statistical Johnson, Kansas State University; David Society, on June 25-26, 1981. The title of this lecture Dallas E. Jowett, University of Wisconsin, Green Bay; Joseph B. is Log-linear and log-nonlinear models for the University of Missouri, Columbia; Jerome analysis of multidimensional contingency tables. Kadane, University of Wisconsin, Madison; L. Goodman is Charles L. Hutchinson Distinguished H. Klotz, H. Koopmans, University of New Mexico; Anant Service Professor of Statistics and Sociology at the M. Kshirsagar, University of Michigan; Gary G. University of Chicago. Koch, University of North Carolina; Samuel Kotz, University of Maryland; Solomon Kullback, George VISITING LECTURER PROGRAM Washington University; James M. Lucas, E. I. duPont IN STATISTICS 1981-1982 de Nemours and Co.; Richard E. Lund, Montana The Visiting Lecturer Program in Statistics is State University; John Mandel, National Bureau of continuing into its nineteenth successive year. This Standards; Nancy R. Mann, University of California, year's program again is available to Canadian schools. Los Angeles; Harry F. Martz, Los Alamos National The program is sponsored jointly by the principal Laboratory; Gary C. McDonald, General Motors statistical organizations in North America: the Research Laboratories; Lincoln E. Moses, Stanford American Statistical Association, the Biometric Society University; Ingram Olkin, Stanford University; G. and the Institute of Mathematical Statistics. Leading P. Patil, Pennsylvania State University; Michael D. teachers and research workers in statistics- from Perlman, University of Washington; Frank Proschan, universities, industry and government- have agreed to Florida State University; Peter Purdue, University of participate as lecturers. Lecture topics include subjects Kentucky; Madan L. Puri, Indiana University; Dale in experimental and theoretical statistics, as well as in 0. Richards, Brigham Young University; Jagdish S. such related areas as probability theory, information Rustagi, Ohio State University; Richard R. Scott, theory and stochastic models in the physical, biological Eastman Kodak Company; Donald T. Searls, National and social sciences. Assessment of Educational Progress; Nell Sedransk, The purpose of the program is to provide information State University of New York, Albany; F. Michael to students and college faculty members about the Speed, Louisiana State University; Kenneth J. Tiahrt, nature and scope of modern statistics, and to provide Montana State University; William F. Taylor, Mayo advice about careers, graduate study, and college Clinic; W. A. Thompson, Jr., University of Missouri, curricula in statistics. Inquiries should be addressed Columbia; Ray A. Waller, Los Alamos National to: Barry C. Arnold, chair, Visiting Lecturer Program Laboratory; James A. Walsh, University of Montana; in Statistics, Department of Statistics, University of Milton Winger, University of North Dakota; Kirk M. California, Riverside, CA 92521. Wolter, Bureau of the Census; Farroll Tim Wright, Among the participating lecturers are: Dennis J. University of Missouri, Rolla; Marvin Zelen, Harvard Aigner, University of Southern California; Joseph University. R. Assenzo, The Upjohn Company; Barbara A. The organizing committee consists of: Barry C. Bailar, Bureau of the Census; Saul Blumenthal, Arnold, D. V. Gokhale, Jane Altes, Dan Brunk, Beat University of Illinois; Colin Blyth, Queens University; Kleiner, Paul Minton, Ingram Olkin, Raymond E. Duane C. Boes, Colorado State University; K. 0. Roth, Jagdish Rustagi, Cynthia C. Wilson.

431 NATIONAL SCIENCE FOUNDATION News & Reports

NSF TRAVEL GRANTS joint seminars or workshops. In addition, other FOR WARSAW ICM 1982 activities such as program development meetings may be held in accordance with the needs of the It is anticipated that the National Science Founda­ tion will provide funds to permit partial travel support program. Cooperative activities are currently limited to six areas of basic science: archeology, astronomy, to Warsaw for approximately 200 U.S. mathematicians. chemistry of natural products, linguistics, materials These travel grants are expected to be administered by science (ceramics, metallurgY, and polymers), and the American Mathematical Society. systems analysis (decision and management sciences If a mathematician accepts a travel grant for partial and operations research). support of the travel to Warsaw, these travel funds Proposals may be submitted at any time of may not be supplemented by any other NSF funds. the year. Further information is available from It is the current intention of NSF's Mathematical Pierre Perrolle or Alexander DeAngelis, Division of Sciences Section to provide no additional funds on its International Programs, National Science Foundation, other regular research grants for travel to ICM in 1982. 1800 G Street, N.W., Washington, DC 20550; 202-357- However, an individual mathematician who does not 7393. - NSF Bulletin receive a travel grant may use grant funds, subject to the usual restrictions and prior approval requirements. SCIENTIFIC COOPERATION WITH A copy of the first announcement of the 1982 FEDERAL REPUBLIC OF GERMANY International Congress of Mathematicians appears in US investigators may request supplemental funding this issue of the Notices. from NSF to expand domestic research into cooperative projects with scientists of the Federal Republic of DEADLJNE FOR MATHEMATICAL SCIENCES Germany, who are supported by the German Research REGIONAL CONFERENCES Association, the Max Planck Society, or the Fraunhofer It is anticipated that the deadline for proposals for Society. A German counterpart proposal must be Regional Conferences in the Mathematical Sciences to submitted to one of these three organizations. be funded in fiscal year 1982 will be November 15, 1981. Eligible activities include joint research projects, For details on submission of such proposals, write to bilateral workshops or seminars, and individual research Truman Botts, Executive Director, Conference Board visits. Proposals may be submitted at any time, but of the Mathematical Sciences, 1500 Massachusetts those received after November 1, 1981, are unlikely Avenue, N.W., Suite 457-458, Washington, DC 20005. to be considered for funding during fiscal year 1982. - NSF Bulletin Proposals should be prepared according to standard NSF guidelines, and must also present details of the NSF EASTERN EUROPE PROGRAMS cooperative agenda and anticipated mutual benefits. A brochure describing the U.S.-Eastern Europe For additional information, contact Sidney Smith, Cooperative Science Programs was issued this spring Division of International Programs, National Science by the National Science Foundation. It describes Foundation, 1800 G Street, N.W., Washington, DC programs in Bulgaria, Czechoslovl!-kia, East Germany, 20550; 202-357-7554. -NSF Bulletin Hungary, and Romania. Three types of activities are supported: scientific visits, joint seminars or RESEARCH IN workshops, and cooperative research. The brochure INTELLIGENT ROBOTIC SYSTEMS provides information on program objectives, scope and A number of programs in the newly reorganized NSF administration. It also contains information on the Directorate for Engineering support research in the preparation of proposals. Copies of the brochure (NSF general area of intelligent robotic systems (machines 81-27) are available from Forms and Publications Unit, and computer systems capable of simulating human NSF, 1800 G Street, N.W., Washington, D.C. 20550. activities or performing manipulative functions, often with industrial applications). US-CHINA COOPERATIVE SCIENCE A Coordinating Committee on Research in Intelligent Following the signing of the Protocol on Cooperation Robotic Systems has been established to work with in the Basic Sciences between NSF and the Chinese scientists and engineers from academia and industry Academies of Sciences and of Social Sciences in interested in submitting proposals to conduct research December 1980, NSF and the two Academies have in this area. For more information on the Coordinating established a Joint Working Group responsible for Committee or the intelligent robotic systems activities overseeing the implementation of the Protocol. in the National Science Foundation, contact Norman The Joint Working Group has agreed that in its Caplan, Division of Electrical, Computer, and Systems initial phase (lasting at least one year), the cooperative Engineering, NSF, 1800 G Street, N.W., Washington, program would include joint research projects and DC 20550; 202-357-9618. -NSF Bulletin

432 NEW AMS PUBLICATIONS

AMS Book Orders-Toll Free Number For Users of VISA, MASTERCARD. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card.· This number cannot be used for inquiries, pre­ registration, payment of dues, subscriptions, nor for any purpose other than book orders. The number will be attended from 8:00a.m. to 4:15 p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature.

AMS CATALOGUE OF PUBLICATIONS In the Author Index the names of persons associated The 1981-1982 AMS Catalogue of Publications, with an item in a capacity other than that of author, a catalogue of AMS books and journals, is being e.g., editor, translator, subject of a biography, are printed this summer. For the first time there will be also listed. a 1980 Mathematics Subject Classification index of The Key Index section of the author index con­ the books included in the catalogue. Copies will be sists of all items for which there is no clear author sent to libraries and book agents throughout the and is about 70 percent cross-referenced. Included are world. Others interested in receiving a copy may proceedings of meetings, tables, obituaries, biographies, etc. obtain one by requesting it from the Providence The entries office of the Society, P. 0. Box 6248, Providence, under a given heading (i.e., the author or a title) are listed in order Rl 02940, Attn. E. Nordman. of publication dates. Co­ authored items are treated on the same basis as those REFERENCE BOOKS by the author alone. The Subject Index, consisting of about 380,000 listings on 3,555 pages, covers MATHEMATICAL REVIEWS all subject areas as classified by MR. For each item there is one full list­ CUMULATIVE INDEX, 1973-1979 ing in each subject area in which it has been classified, Volumes 45 through 58 of Mathematical Reviews with all authors, title and MR number, if any. Cross­ This massive index, the first cumulative index of references are given under each author after the first Mathematical Reviews containing both author and to the original listing. subject listings, has been prepared from the working The arrangement of each title entry is that of the files of MR and indexes all the reviews in volumes heading of the original review in MR. Titles in 45 through 58, producing an estimated 700,000 English, French, German, and Italian are usually given entries representing over 230,000 items reviewed in as they appeared in the original. Articles in other MR for the period. It totals 8,415 pages in twelve languages are given in English translation. volumes. Twelve volumes, 8,415 pages (soft cover) The Cumulative Index has the same form as the List price $1,070, institutional member $802.50, Annual Index for 1979 as it was generated by the individual member $535, MR Reviewer $267.50 same computer program. ISBN 0-8218-0035-3 The first part, an Author and Key Index, con­ Publication date: August 1981 To order, please specify MREVIN/73/79/N tains 4,860 pages in seven volumes. The entries give AN INSTITUTION WHICH HAS PURCHASED THE full bibliogr~tphic information about all items that INDEX ON PAPER OR MICROFICHE AT REGULAR have been reviewed in MR between January 1973 PRICES MAY PURCHASE A SECOND COPY ON and December 1979, inclusive. This is over 230,000 MICROFICHE FOR $535. entries. In addition, there are entries for about 3,000 items not reviewed in MR for which the editors think bibliographic information should be REVIEWS IN RING THEORY made available. They have been treated exactly as compiled and edited by Lance W. Small reviewed items, generally with references to Zentral­ These volumes collect 5,396 reviews from Mathe­ blatt fiir Mathematik, Referativnyi Zurnal, or other matical Reviews of papers in noncommutative ring reviewing journals. theory. All reviews of papers in ring theory from Items are listed alphabetically by author; those Volume 21 (1960) through Volume 58 (1979) having several authors are listed in full under each appear here. Additionally, the editor has collected author. Surnames of authors are cross-referenced for those papers from Volume 1 through Volume 20 name changes or variations of spelling. The original which are necessary background. Papers on group entry for which an erratum or other commentary rings, homological questions, and enveloping algebras has been reviewed in a subsequent entry is identified. with ring theoretic interest are also included. The author index section is estimated to have Each review has an "appearance number" spe­ about 300,000 entries because of multiple authors. cifying the location of the review by chapter, section

433 and number within the section. By and large, reviews groups known as dimension groups, and their charac­ within one section are arranged in "rough" chrono­ terization by Handelman, Shen, and the author is logical order (i.e., by appearance in Mathematical given. In succeeding chapters, the close links of Reviews). The principal exceptions are papers in a dimension group theory with Choquet theory, Dio· series and very closely related papers. If a cited re­ phantine approximation, and algebraic number theory view occurs in these volumes, then its appearance are discussed. A rapid development of K-theory is number is listed after the review in which it is cited. then given, together with a proof of Brown's Exten­ Cross-references are given at the beginning of sion Theory (this uses the Bott Periodicity Theorem). some sections and chapters to inform the reader of A selection of unsolved problems is presented in the closely related reviews appearing elsewhere. These last chapter. cross-references may also be useful to the reader as 1980 Mathematics Subject Classifications: 46 LOS, 16AS4, a guide to finding reviews which do not appear where 06F15, 20F60; 10F10 the reader thinks they should. Number 46, v + 74 pages (soft cover) These volumes are a research tool. There are no List price $7.20, individual $3.60 ISBN Q-8218-1697·7; LC 81·1582 other books containing the information herein except Publication date: june 1981 Mathematical Review:; itself. To order, please specify CBMS/46N The editor's previous work includes over forty papers in ring theory. He has been a reviewer for Mathematical Reviews since 1968. TOPICS IN DYNAMIC BIFURCATION THEORY The work is divided into 31 chapters each sub­ by jack K. Hale divided into 3 to 21 sections. This set of lectures has two primary objectives. 1980 Mathematics Subject Classifications: 16A; 17835, The first one is to present the general theory of first 18G20, 20C07 order bifurcations that occur for vector fields in Published in 2 volumes, xii + 1,114 pages (soft cover) finite dimensional space. Illustrations are given of List price $160.00, institutional member $120.00, higher order bifurcations. The second objective, and individual member $40.00, student $20.00 ISBN 0·8218-0215·1; LC 81·10770 probably the most important one, is to set up a Publication date: August 1981 framework for the discussion of similar problems in To order, please specify REVRING/N infinite dimensions. Parabolic systems and retarded functional differential equations are considered as CBMS REGIONAL CONFERENCE illustrations and motivations for the general theory. Readers familiar with ordinary differential equa­ SERIES IN MATHEMATICS tions and basic elements of nonlinear functional (ISSN 0160-7642) analysis will find that the material is accessible and Supported by the National Science Foundation the fundamental results in bifurcation theory are presented in a way to be relevant to direct applica­ DIMENSIONS AND C*-ALGEBRAS tion. Most of the expository material consists of a by Edward G. Effros concise presentation of basic results and problems in This book is an elementary introduction to alge· structural stability. braic and C *-algebraic dimension theory. As ex­ The most significant contribution of the book is plained in the text, dimensions naturally arise in the formulation of structural stability and bifurcation algebra and analytic algebra, in foliation theory, and in infinite dimensions. Much research should come in topological dynamics. For the algebraist, the sub­ from this-indeed some have already picked up the ject may be regarded as a particularly attractive in­ ideas in their work. stance of noncommutative K-theory. For operator 1980 Mathematics Subject Classifications: 34C1 5, 34C28, algebraists, it provides a natural extension of the 34C3S, 34030;35832, 58F13 Murray and von Neumann dimension theory to Number 4 7, iv + 84 pages (soft cover) C*-algebras, and it is currently playing an important List price $6.40, individual $3.20 role in noncommutative differential geometry. In ISBN Q-8218·1698-5; LC 81·3445 Publication date: june 1981 particular, Connes has shown that these new dimen­ To order, please specify CBMS/47N sions appear when one wishes to associate invariants to noncompact manifolds, such as those occurring as the leaves of a foliation. Roughly speaking, one MEMOIRS OF THE AMERICAN attempts to measure the average number of holes MATHEMATICAL SOCIETY encompassed by an expanding region of the manifold. Finally, Krieger has shown that dimension theory (ISSN 0065-9266) serves as an algebraic vehicle for Williams' theory of shift equivalence for topological Markov shifts. QUALITATIVE ANALYSIS The book is in large part devoted to the most OF THE PERIODICALLY FORCED elementary algebras and C *-algebras, namely those RELAXATION OSCILLATIONS ·which are direct limits of complex semisimple alge­ by Mark Levi bras. Included are Elliott's proof that such algebras This Memoir contains an essentially complete are completely classified by the ranges of their description of a classical dynamical system-a van der dimension functions. The latter generate ordered Pol type equation, periodically forced. Such a system

434 came up in the study of early radars and attracted DECIDABILITY AND BOOLEAN the attention of Cartwright, Littlewood and Levinson REPRESENTATIONS who discovered some remarkable phenomena-e.g. by Stanley Burris and Ralph McKenzie "randomness", strange attractor, etc. Levinson's work The first part of this Memoir shows that, for a led to Smale's introduction of the horseshoe map large collection of varieties, if the first-order theory which in turn stimulated further development of the of such a variety is decidable then the variety de­ theory. composes into a product of a discriminator variety The aim of this Memoir is two-fold: First, to and an abelian variety, two well-known, highly spe­ show how the results and methods of the theory are cialized varieties. Indeed, much of the literature on reflected in a classical equation from which this theory the decidability of the first-order theories of locally originated. These tools include topological dynamics, finite varieties is a special case of this general result. structural stability theory (Palis, Smale, Robbin, For many varieties the decidability question then Robinson), and some aspects of bifurcation theory effectively reduces to a decidability question about (Newhouse, Palis). left R-modules, for R a finite ring. Second, the incomplete classical picture is filled The results of Part I are then applied in Part II to a global one, which turns out to have a surprisingly to show that a variety which admits a representation simple geometrical representation. In particular, by algebras of global sections of Hausdorff sheaves Levinson's results are given a simple geometrical ex­ over Boolean spaces, using finitely many finite stalks, planation, some new periodic solutions are found, and also admits such a decomposition. This leads to a the topology of the attracter is described. number of definitive results on such varieties, modulo 1980 Mathematics Subject Classifications: 34C35, 58 F12, certain open questions on varieties of left R-modules. 58F15, 54A20 1980 Mathematics Subject Classifications: 03B25, 03COS, Memoir Number 244, vii + 148 pages (soft cover) 08B1 0, 08AOS, 08B99 List price $8.40, institutional member $6.30, individual member $4.20 Memoir Number 246, viii + 108 pages (soft cover) ISBN 0-8218-2244-6; LC 81-3642 List price $6.40, institutional member $4.80, Publication date: july 1981 individual member $3.20 To order, please specify MEM0/244N ISBN 0-8218-2246-2; LC 81-7902 Publication date: july 1981 To order, please specify MEM0/246N ORDINAL INVARIANTS IN TOPOLOGY by II. Konnon RECENT REPRINTS The concept of the order of a map is so power­ ful as to form a base for the unification of several JOHN VON NEUMANN, 1903-1957 ordinal invariants in topology. In this work, the author shows that the derived length of scattered edited by f. C. Oxtoby, B. f. Pettis, and E. B. Price spaces, sequential order of sequential spaces, etc., A memorial to the late john von Neumann, published as can all be described in terms of this notion. This Bulletin of the AMS, Volume 64, Number 3, Part II view helps to extend them so as to be defined for 1958, reprinted 1981, 130 pages (soft cover) all topological spaces without missing their most sig­ List price $8.40, institutional member $6.30, nificant properties, to dualize them, to perceive them individual member $4.20 To order, please specify j VN/N in the background of category theory and to obtain a lot of new information. In this self-contained work the author incidentally comes across some close con­ SINGULAR INTEGRALS nections among such apparently unrelated areas of edited by A. P. Calderon topology as Cech closures, coreflective subcategories, special morphisms and the ordinal invariants men­ Proceedings of Symposia in Pure Mathematics Volume 10,1967, reprinted 1981,384 pages (soft cover) tioned above. List price $32, institutional member $24, The notion of £-order introduced here provides individual member $16 a unification of such invariants as sequential order, To order, please specify PSPUM/1 ON k-order, m-net-order and so on. This theory is not only more satisfactory than the earlier attempts of unification but also encompasses them as subcases. TOPOLOGICAL ENTROPY AND EQUIVALENCE 1980 Mathematics Subject Classifications: 54-xx, 18-xx OF DYNAMICAL SYSTEMS Memoir Number 245, v + 165 pages (soft cover) by Roy L. Adler and Brion Marcus List price $9.60, institutional member $7.20, Memoirs of the AMS, Number 219 individual member $4.80 1979, reprinted 1981, 84 pages (soft cover) ISBN 0-8218-2245-4; LC 81-7969 List price $6.40, institutional member $4.80, Publication date: july 1981 individual member $3.20 To order, please specify MEM0/245N To order, please specify MEM0/219N .------Prepaymert if re~uired for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Pro~c~, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

435 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 specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, 'lear and 11av.e of the issue in which the com\)lete 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 elates 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. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.

' / January 1, 1981-0ctober 10, 1981. MATHEMATISCHES 3-21. SEMINAIRE DE MATHEMATIQUES SUPERIEURES--NATO" FORSCHUNGSINSTITUT OBERWOLFACH (Weekly Confer­ ADVANCED STUDY INSTITUTE, University of Montreal, ences), Federal Republic of Germany. (January 1981, Montreal, Canada. (February 1981, p. 181) p. 89) 4-7. SYMPOSilf-1 IN HONOR OF PROFESSOR BJARNI JONS­ 1981-1982. ACADEMIC YEAR DEVOTED TO MATHEMATICAL SON, Vanderbilt University, Nashville, Tennessee. PROBLEMS IN THEORETICAL PHYSICS, The Mittag-Leffler (June 1981, p. 347) Institute, Djursholm, Sweden. (February 19B1, p. 177) 5-7. 1981 ACM SYMPOSilf-1 ON SYMBOLIC AND ALGEBRAIC COMPUTATION, Snowbird, Utah. (October 1980, p. 549) JULY 19B1 6-7. FIFTH INTERNATIONAL TIME SERIES MEETING, Hous­ 13-17. NSF -CBMS CONFERENCE ON MARTINGALE THEORY IN ton, Texas. (February 1981, p. 181) HARMONIC ANALYSIS AND BANACH SPACES, Cleveland State University, Cleveland, Ohio. (June 1981, p. 9-14. SYMPOSilf-1 ON NETWORK FLOWS, The Johns Hopkins University, Baltimore, Maryland. (April 1981, p. 346) 268) 13-24. NATO ADVANCED RESEARCH INSTITUTE ON NONLIN­ EAR OPTIMIZATION, Cambridge, England. (February 10-14. NSF-CBMS REGIONAL CONFERENCE IN MATHEMATICS, Carleton College, Northfield, Minnesota. (April 1981, p. 180) 1981, p. 268)

15-31. ECOLE 0 'ETE Q I INFORMATIQUE, Clamart, 11-21. SIXTH INTERNATIONAL CONFERENCE ON MATHEMATI­ France. (April 1981, p. 268) CAL PHYSICS, Berlin, Federal Republic of Germany. 16-24. LOGIC SYMPOSIUM DEDICATED TO THE MEMORY OF (October 1980, p. 549) J. HERBRAND, Marseille, France. (February 1981, p. 180) 17 -September 11. SUMMER SCHOOL ON GROUP REPRESENTA­ TIONS AND ITS APPLICATIONS, University of Ibadan, 19-25. SUMMER MEETING IN CATEGORY THEORY, Cam­ Nigeria. (April 1981, p. 268) 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, Bu­ 23-2 8. TENTH CONFERENCE ON STOCHASTIC PROCESSES AND dapest, Hungary. (April 1981, p. 268) THEIR APPLICATIONS, Montreal, Canada. (October 1980, p. 549) 25-August 1. GROUPS--ST. ANDREWS 1981, University of St. Andrews, St. Andrews, Scotland. (February 24-27. CONFERENCE ON NUMERICAL SOLUTIONS OF PARTIAL 1981, p. 181) DIFFERENTIAL EQUATIONS, Parkville, Victoria, Aus­ tralia. 27-31. IFIP THIRD WORLD CONFERENCE ON COMPUTERS IN Information: F. R. Barrington, Secretary, 1981 POE EDUCATION, Lausanne, Switzerland. (February 1981, Conference, Mathematics Department, University of Melbourne, Parkville, Victoria 3052, Australia. p. 181)

27-August 6. DURHAM SYMPOSilf-1 ON OPERATOR ALGEBRAS, 24-28. INTERNATIONAL CONFERENCE ON SEMIGROUPS, STRUCTURE THEORY AND UNIVERSAL ALGEBRAIC PROBLEMS, Grey College, Durham, England. (February 1981, p. 181) Szeged, Hungary. Chairman: 0. Steinfeld, Budapest. ~ion: Janos Bolyai Matematikai Tarsulat, AUGUST 1981 Budapest, Anker Koz 1-3, I. 111, H-1061, Hungary.

3-7. INTERNATIONAL SEMINAR ON FUNCTIONAL ANALYSIS, 24-28. NSF -CBMS REGIONAL CONFERENCE ON THE NAVIER­ HOLOMORPHY AND APPROXIMATION THEORY, Universidade STOKES EQUATIONS AND NONLINEAR FUNCTIONAL ANALYSIS, Federal do Rio de Janeiro, Brazil. (October 1980, Northern Illinois University, DeKa 1 b, Illinois. p. 549) (June 1981, p. 347)

436 24-28. INTERNATIONAL SYMPOSIUM ON STOCHASTIC PRO­ 21-26. JOURNEES ARITHMETIQUES, Metz, France. (Octo­ CESSES AND APPLICATIONS TO DIFFERENTIAL OPERATORS ber 1980, p. 549) IN MATHEMATICAL PHYSICS, C.I.R.M. (International Center for Mathematical Meetings), Marseille­ 25-26. NINTH ANNUAL MATHEMATICS AND STATISTICS CON­ Luminy, France. (February 1981, p. 181) FERENCE, Miami University, Oxford, Ohio. (April 1981, p. 269) 24-28. FIFTH SYMPOSIUM ON GENERAL TOPOLOGY AND ITS RELATIONS TO MODERN ANALYSIS AND ALGEBRA, Prague, 25-26. OHIO DELTA CHAPTER OF PI MU EPSILON Ai'INUAL Czechoslovakia. (January 1981, p. 92) STUDENT CONFERENCE, Miami University, Oxford, Ohio. (April 1981, p. 269) 24-28. THIRD INTERNATIONAL CONFERENCE ON FUNDAMEN­ TALS Of COMPUTATION THEORY, Szeged, Hungary. (Janu­ 3D-October 2. FOURTH AACHEN SYMPOS !UM: THEORY AND ary 1981, p. 92) APPLICATIONS OF SIGNAL PROCESSING, Aachen, West Germany. (January 1981, p. 92 l 24-28. INTERNATIONAL COLLOQUIUM ON STOCHASTIC PRO­ GRAMMING, Koszeg, Hungary. (April 1981, p. 268) OCTOBER 1981

28-September 12. SYMPOSIUM ON ORDERED SETS, Banff, 5-10. CONFERENCE ON MULTIDIMENSIONAL DATA ANALYSIS, Canada. (February 1981, p. 181) Dubrovnik, Yugoslavia. Organizers: University Computing Centre, Zagreb, 3D-September 6. NINTH INTERNATIONAL CONFERENCE ON Yugoslavia; lnstitut National de Recherche en ln­ NONLINEAR OSCILLATIONS, Kiev, USSR. (August 1980, formatique et en Automatique, Rocquencourt, p. 453) France; lstituto di Statistica e Demografia dell' Universita di Napoli, Italy. 31-September 4. FOURTEENTH EUROPEAN MEETING OF STA­ Program CoiTITlittee: V. Topolovec (Chairman), N. Lau­ TISTICIANS, Wroclaw, Poland. (February 1981, p. ro, Y. Lechevallier. 182) Topics: Factor analysis; correspondence analysis; ter analysis; multidimensional scaling; dis- 31-September 4. IIORKSHOP ON COMPUTATIONAL PROBLEMS criminant analysis; canonical and regression IN COMPLEX ANALYSIS, Stanford University, Stanford, analysis; multidimensional time series analysis. California. (April 1981, p. 268) Information: A. Perna, ISDUN via Partenope 36, BOlOO Naples, Italy; G. Bogdanic, SRCE Engelsova 31-September 6. FIRST ROMANIAN-GDR SEMINAR ON BA­ bb, 41000 Zagreb, Yugoslavia; M. Alnirchahy, INRIA NACH SPACE THEORY, Romania. (February 1981, p. 182) B.P. 105, 78153 Le Chesnay, Cedex, France.

6-8. DEDEK!ND-TAGUNG, Techni sche Uni versi tat Braun­ SEPTEMBER 1981 schweig, West Germany. (February 1981, p. 182)

1-ll. SECOND INTERNATIONAL SEMINAR ON MATHEMATICAL 6-8. INTERNATIONAL CONFERENCE ON TIME SERIES METH­ THEORY OF DYNAMICAL SYSTEMS AND MICROPHYSICS: GEOM­ ODS IN THE HYDROSC IENCES, Burlington, Ontario, Can­ ETRY AND MECHANICS, Udine, Italy. ada. (April 1981, p. 269) Information: A. Blaquierre or A. Marzollo, C.I.S.M., 18, Piazza Garibaldi, 1-33100 Udine, 7-9. FOURTH GAt-ti CONFERENCE ON NUMER !CAL METHODS IN Italy. FLUID MECHANICS, Paris, France; Information: GAMM CoiTITli ttee, Ecole Nati anal e Super­ 7-9. SIXTH SYMPOSIUM ON OPERATIONS RESEARCH, Augs­ ieure de Techniques Avancees, 32 Bd. Victor, burg, Federal Republic of Germany. F-Paris 15e, France. Information: H. N. V. Tamperly, Department of Ap­ plied Mathematics, University College, Swansea 7-ll. AMERICAN MATHEMATICAL ASSOCIATION OF TWO-YEAR SA2 BPP, llales. COLLEGES' ANNUAL CONVENTION, New Orleans, Louisi­ ana. (April 1981, p. 269) 7-11. SEMINAR ON CONTROL THEORY IN DIFFERENTIAL EQUATIONS, Romania. (February 1981, p. 182) 9-10. THIRD MIDWEST CONFERENCE ON PROBABILITY, Northwestern University, Evanston, Illinois. (June 7-12. SIXTH CONGRESS OF THE GROUPEMENT DES MATHE­ 1981, p. 348) MATICIENS D'EXPRESSION LATINE, Centre Universitaire de Luxembourg, Luxembourg. (April 1981, p. 269) 9-10. TENTH ANNUAL MIDWEST CONFERENCE ON ORDINARY DIFFERENTIAL EQUATIONS, North Dakota State Univer­ 8-10. INTERNATIONAL SYMPOSIUM ON SEMI-INFINITE sity, Fargo, North Dakota. (June 1981, p. 348) PROGRAMMING AND APPLICATIONS, Austin, Texas. (Octo­ ber 1980, p. 549) 11--December 19. MATHEMATISCHES FORSCHUNGSINSTITUT OBERWOLFACH (Weekly Conferences 1 i sted bel ow), Fed­ 13-18. 10. OSTERREICHISCHER MATHEMATIKER KONGRESS, eral Republic of Germany. Innsbruck, Austria. Information: Martin Barner, Institute Director, Al­ Information: G. Helmberg, Institut fur Matematik bertstrasse 24, 78 Freiburg i. Br., Federal Re­ und Geometrie, Technische Fakult:at der Universi­ public of Germany. tat lnnsbruck, Technikerstrasse 13, A-6020 Inns­ bruck, Austria. October 11-17. Arbeitsgemeinschaft Geyer-Harder. 14-16. FLOWS IN POROUS MEDIA, Nottingham, Great Britain. 18-24. Geschichte der Mathematik, Information: The Secretary and Registrar, I.M. A., Chairmen: K. Andersen, Aarhus; C. J. Scriba, Ham- Maitland House, Warrior Square, Southend on Sea, bUrg.- Essex, SS1 25Y, Great Britain. 25-31. Fortbildungslehrgang fur Studienrate. 14-17. IEEE COMPUTER SOCIETY COMPCON FALL '81, Capital Hilton Hotel, Washington, D.C. (February November 1981, p. 182) 1-7. Komplexitatstheorie, Chairmen: C. P. Schnorr, Frankfurt; A. Schonhage, 20-27. INTERNATIONAL CONFERENCE ON COMPLEX ANALYSIS --riTbTngen; V. Strassen, Zurich. AND APPLICATIONS, Varna-Golden Sands, Bulgaria. (January 1981, p. 92) 8-14. Di dakti k.

437 15-21. Approximationstheorie, boundary problems; nonlinear waves, reaction dif­ Chairmen: H. Berens, Erlangen; R. DeVore, Columbia. fusion equations and generalized stability; sym­ metry breaking and group representation theory; 22-28. Mathematische Madelle in der Biologie, imperfection theory and si ngul ari ty theory. Other Chairmen: K. P. Hadeler, Tubingen; w. Jager, Heid- lectures are also planned. elberg. Support: A grant fran the National Science Founda­ tion under the CBMS Regional Conferences program 29-December 5. Mathemati sche Me tho den der Stromungs­ is providing some support for travel and 1 ivi ng mechanik, expenses. Chairmen: E. Meister, Darmstadt; K. Nickel, Frei­ Information: P. J. McKenna or P. Barrett, Depart­ ~J. Polasek, Prague. ment of Mathematics, 201 Walker Hall, University of Florida, Gainesville, Florida 32611. December 6-12. Operatorungleichungen, 21-25. INTERNATIONAL CONFERENCE ON RECENT ADVANCES Chairmen: N. Bazley, Koln; J. Schrtider, Koln. IN NONLINEAR ANALYSIS AND DIFFERENTIAL EQUATIONS, Indian Institute of Technology, Madras, India. 13-19. Spezialtagung Statistik, Program: There will be one-hour 1ectures by the Chairmen: P. L. Davies, Essen; R. D. Reiss, Siegen. following speakers. In addition, there will be half-hour talks by active researchers. 16-17. MAXWELL SYMPOSIUM, University of Massachu­ Principal Speakers: A. Ambrosetti (Italy), H. setts at Amherst, Amherst, Massachusetts. Brezis (France), F. E. Browder (U.S.A.), L. Information: For details, see the Announcement of Cesari (U.S.A.), J. Chandra (U.S.A.), M. G. Cran­ the AMS meeting at Amherst in this issue. dall (U.S.A.), S. Fu~ik (Czechoslovakia), J. B. Keller (U.S.A.), M. A. Krasnoselski-1' (U.S.S.R.), 20-December 11. AUTUMN COURSE ON VARIATIONAL METH­ V. Lakshmikantham (U.S.A.), J. Mawhin (Belgium), ODS IN ANALYSIS AND MATHEMATICAL PHYSICS, Interna­ L. Salvadori (Italy), W. Walter (W. Germany), H. tional Centre for Theoretical Physics, Trieste, F. Weinberger (U.S.A.). Among others, the follow­ Italy. (June 1981, p. 348) ing invitees are expected to give half-hour talks: R. Kannan, G. S. Ladde, A. C. Lazer, R. 26-28. SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMAT­ H. Martin, S. Reich. ICS FALL MEETING, Cincinnati, Ohio. (April 1981, Contributed Papers: There will be sessions for p. 269; June 1981, p. 348) fifteen-m1 nute contributed papers. Abstracts must be received by November 15, 1981. 26-29. INTERNATIONAL SYMPOSil.f>l ON ALGORITHMIC LAN­ Information: K. M. Das, Department of Mathematics, GUAGES, Amsterdam, The Netherlands. Indian Institute of Technology, Madras 600036, Information: J. C. van Vliet, Mathematical Centre, India. Kruislaan 413, 1098 SJ Amsterdam, The Nether­ lands. JANUARY 1982 28-30. 1981 IEEE SYMPOSil.f>l ON FOUNDATIONS OF COMPU­ 11-16. FOURTH INTERNATIONAL CONFERENCE ON UNIVERSAL TER SCIENCE, Nashville, Tennessee. (April 1981, p. ALGEBRA AND LATTICE THEORY, University of Puebla, 269) Mexico. (June 1981, p. 348) 30-31. CONFERENCE IN HONOR OF K. 0. FRIEDRICHS, MARCH 1982 Courant Institute of Mathematical Sciences, New York, New York. 29-April 2. SEVENTH DUNDEE INTERNATIONAL CONFERENCE Purpose: The conference is being held in honor of IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS, K. 0. Friedrichs on his eightieth birthday. University of Dundee, Scotland. Invited Lecturers: Enrico Bombieri, Alexandre Information: E. R. Dawson, Department of Mathe­ Chor1n, Fr1tz John, Joseph Keller, Hans Lewy, matics, The University, Dundee DOl 4HN, Scotland. Elliott Lieb, Joel Lebowitz. Tentative: V. I. Arnold, Oscar Lanford. JUNE 1982 Information: Peter D. Lax, Courant Institute of Mathematical Sciences, 251 Mercer Street, New 21-25. NINTH U. S. NATIONAL CONGRESS OF APPLIED York, New York 10012. MECHANICS, Cornell University, Ithaca, New York. Organizer: u. S. National Committee on Theoretical 31-November 2. ANNUAL MEETING OF THE AMERICAN SOCI­ and Applied Mechanics of the National Academy of ETY FOR CYBERNETICS, Washington Hilton Hotel, Wash­ Sciences. ington, D.C. (April 1981, p. 269) Program: There will be sessions for general lec­ tures, symposia on special topics, and contrib­ NOVEMBER 1981 uted papers. There will also be presentations of invited papers. 9-13. FIRST SOUTHEAST ASIAN CONFERENCE IN MATHE­ OrJanizing Committee: Richard H. Lance; James T. MATICAL LOGIC, National University of Singapore, enklns; Wolfgang H. Sachse; Yih-Hsing Pao. Republic of Singapore. (June 1981, p. 348) Information: Y. H. Pao, Department of Theoretical and Applied Mechanics, Thurston Hall, Cornell 16-19. SIAM CONFERENCE ON MATHEMATICAL AND COMPUTA­ University, Ithaca, New York 14853. TIONAL METHODS IN THE EXPLORATION AND EXTRACTION OF DEEP MINERAL RESOURCES, Tucson, Arizona. (June AUGUST 1982 1981, p. 348) 8-13. TENTH IMACS WORLD CONGRESS ON SYSTEMS DECEMBER 1981 SIMULATION AND SCIENTIFIC COMPUTATION, Montreal, Canada. (June 1981, p. 348) 14-18. NSF -CBMS CONFERENCE ON BIFURCATION AND SYM­ METRY BREAKING, University of Florida, Gainesville, ll-19. INTERNATIONAL CONGRESS OF MATHEMATICIANS, Florida. Warsaw, Poland. (October 1980, p. 549) Program: David Sattinger, University of Minnesota, will give ten expository lectures concerning the 19-27. EIGHTH CONFERENCE ON ANALYTIC FUNCTIONS, following broad topics: global methods including B~afejewko, Poland. maximum principle and monotonicity techniques and Topics: Extremal problems for analytic functions on topological degree; variational methods and crit­ one complex variable; quasiconformal mappings; ical point theory, including applications to free functions of several complex variables (including

438 the theory of analytic functions in topological Soviet Organizing Committee: Solomon Alber; Jacob vector spaces); analysis on complex manifolds. Alpert; Irina Bra1lovsky; Yuri Golfand; Alexander Organizing Committee: C. Andreian-Cazacu (Bucha­ Ioffe. rest), z. Charzynski (.t6dzl, P. Dolbeault Information: Dorothy Hirsch, Co-Director, Committee (Paris), J. Eells (Coventry), A. A. Gonfar (Mos­ of Concerned Scientists, Inc., 9 East 40th cow), J. G6rski (Katowice), H. Grauert (GOttin­ Street, New York, New York 10016. gen ), L. Il iev (Sofia), S. Kobayashi (Berkeley), J. Krzyf (Lublin), J • .t.awrynowicz (.tddfl - Chair­ November 4-6, 1981. CONFERENCE ON SCIENTIFIC INFER­ man, 0. Lehto (Helsinki), P. Lelong (Paris), s. ENCE, DATA ANALYSIS, AND ROBUSTNESS, Mathematics N. Mergeljan (Erevan), J. Siciak (Cracow), W. Research Center, University of Wisconsin, Madison, Tutschke (Halle/Saale). Wisconsin. Deadline for Applications: December 1, 1981. Invited Speakers: (Tentative l H. Aka ike, D. An­ Deadline for Abstracts: March 31, 1982. drews, G. A. Barnard, A. Dempster, G. E. P. Box, TiilOi'iiiition and Registration: Julian tawrynowicz, B. Efron, P. Diaconis,. I. J. Good, T. Leonard, Instytut Matematyczny PAN, Oddzia:t w .todzi, ul. D. v. Lindley, C. Mallows, B. w. Silverman, D. Kil1nskiego 86, PL-90-012 .Udf, Poland. Rubin, C. F. Wu, H. Wynn. ~: The conference will emphasize the inter­ play-between scientific inference, data analysis, and robustness. There will be a two-day short LATE ENTRIES course on "Bayesian Inference and Modelling" given by T. Leonard on November 2 and 3. September 20-23, 1981. FIFTH INTERNATIONAL CONFER­ Information: Organizing Secretary, Conference on ENCE ON COLLECTIVE PHEN()IENA, Hollie of Dr. Irina Scientific Inference, Data Analysis, and Robust­ Brailovsky, Vernadskogo 99/4/128, Moscow, USSR. ness, Mathematics Research Center, University of Co-Sponsors: New York Acadl!ftiY of Sciences; Commit- Wisconsin, 610 Walnut Street, Madison, Wisconsin tee of Concerned Scientists. 53706. MISCELLANEOUS

Personal Items Ulam Visiting Professor of Mathematics at the Univer­ sity of Colorado, has been appointed Paul Olum, Vice President for Academic Affairs in Einstein Professor the University of Oregon, has been appointed President of Mathematics at Queens College and the CUNY of that institution. Graduate Center. Patriek J. Ryan of Indiana University, South Bend, Deaths has been promoted to professor. John R. Pasta, Director of the Division of Judith D. Sally of Northwestern University has Mathematical and Computer Sciences of the National been appointed a fellow of the Bunting Institute of Science Foundation, died June 5, 1981 at the age of 63. Radcliffe College, beginning July 1, 1981. He was a member of the Society for 5 years. Bhagat Singh has been appointed chairman of Wladimir Seidel of Detroit, Michigan, died on the Department of Mathematics at the University of January 12, 1981 at the age of 75. He was a member Wisconsin Center, Manitowoc County. of the Society for 50 years. Justin Smith of the University of Hawaii, Manoa, George Whaples of the University of Massachusetts, has been appointed to an assistant professorship at the Amherst, died on May 2, 1981 at the age of 66. He was State University of New York, Binghamton. a member of the Society for 44 years. Dennis P. Sullivan of the Institute des Hautes Etudes Scientifiques, currently serving as Stanislaw

THREE PAPERS ON DYNAMICAL SYSTEMS formation on qualitative properties of some long by A. G. Kusnirenko, A. B. Katok, and known problems. V. M. Alekseev The literature on smooth dynamical systems is A. G. Kusnirenko, Problems in the general theory of substantial. In selecting material for their lectures dynamical systems on a manifold the authors have set themselves a twofold aim. On A. B. Katok, Dynamical systems with hyperbolic the one hand they have tended to give a more or less structure connected account of a number of contemporary re- V. M. Alekseev, Quasirandom oscillations and quali- sults associated with general problems of the classifi- tative questions in celestial mechanics cation of dynamical systems, by describing "rough" Volume 116, vi + 169 pages (hard cover) and "typical" properties, etc. On the other hand they List price $32.40, institutional member $24.30, individual member $16.20 wish to emphasize that the general constructions ISBN 0-8218-3066-X; LC 81-4981 arising here are connected with ideas going back to Publication date: May 1981 the classics, and they permit one to obtain new in- To order, please specify TRANS2I116N Prepayment itjequired for all AMS publications_ Order from AMS, P. 0. Box 1571, Annex Station, Prov!de'nce, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

439 Visiting Mathematicians

The list of visiting mathematicians includes both foreign mathematicians visiting in the United States and Canada, and Americans visiting abroad. Note that there are two separate lists. Mathematicians Visiting Abroad

Name and Home Country Host Institution Field of S(!ecial I nterst Period of Visit Aiikakos, Nicholas (U.S.A.) Heriot· Watt University, Scotland Applied Mathematics; Partial Differ- 8/81 - 5/82 ential Equations Anderson, Douglas R. (U.S.A.) Odense University, Denmark Topology 8/81 - 7/82 Burbea, jacob (U.S.A.) Mittag-Leffler Institute, Sweden Complex Analysis 9/81 - 12/81 Donsker, Monroe D. (U.S.A.) Kyoto University, Japan Probability 9/81 - 6/82 Enis, Peter (U.S.A.) Haifa University, Israel Statistics 9/81 - 7/82 Field, Christopher (Canada) E. T. H., Switzerland Robust Statistics 1/82- 6/82 Fitzpatrick, Ben, Jr. (U.S.A.) Chelsea College University Topology 9/81 - 8/82 of London, England Garabedian, Paul (U.S.A.) Kyoto University, Japan Computational Physics 10/81 - 3/82 Gilbert, R. P. (U.S.A.) University of Oxford, Partial Differential Equations, 8/81 - 6/82 United Kingdom Function Theory Goldberg, jack L. (U.S.A.) Bogazi~i University, Turkey Complex Analysis 9/81 - 7/82 Grad, Harold (U.S.A.) Kyoto University and Nagoya Magneto Fluid Dynamics 10/81 - 12/81 University, Japan Gromov, Mikhail (U.S.A.) I. H. E. S., France Geometry 2/81 - 9/82 Haberman, Shelby Hebrew University, Israel Statistics 10/81 - 9/82 Hemminger, Robert L. (U.S.A.) Universitat Bildungswissenschaften Graph Theory 7/81 - 12/81 Klagenfurt, Austria Herbst, Ira W. (U.S.A.) Mittag-Leffler Institute, Sweden Mathematical Physics 8/81 - 6/82 Hironaka, Heisuke (U.S.A.) Kyoto University, japan Algebraic Geometry 9/81 - 6/82 Kansky, Robert ]. (U.S.A.) University of the Western Cape, Instructional Computing 7/81 - 7/82 South Africa Kazhdan, David (U.S.A.) Hebrew University, Israel Algebraic Aspects of Analysis 9/81 - 6/82 Keener, james P. (U.S.A.) University of Heidelberg, Differential Equations, Diffusion 9/81 -11/81 Federal Republic of Germany Reaction Systems Klaasen, Gene (U.S.A.) International Center for Ordinary Differential Equations 9/81 - 12/81 Theoretical Physics, Italy Leadbetter, M. R. (U.S.A.) University of Copenhagen, Stochastic Processes 7/81 - 12/81 Denmark LeBrun, Claude (U.S.A.) I. H. E. S., France Geometry 9/81 - 9/82 McDowell, Robert H. (U.S.A.) Academy of Sciences of General Topology 5/81 - 10/81 Czechoslovakia Moser, ]iirgen (U.S.A.) E. T. H., Switzerland Dynamical Systems 9/81 - 6/82 Mostow, Mark A. (U.S.A.) Tel-Aviv University, Israel Mathematical Physics 7/81 - 6/82 Nelson, Paul (U.S.A.) India Institute of Technology Two-point Boundary-Value Problems 10/81 Phillips, John (Canada) University of New South Wales, Operator Algebras 7/81 - 6/82 Australia Pierce, Donald (U.S.A.) National Academy of Science, Radiation Effects Research 9/81 - 9/82 japan Foundation Statistics Protter, Philip (U.S.A.) Universite de Rennes, France Stochastic Integrals and Differential 8/81 - 5/82 Equations Pullman, Norman ]. (Canada) University of Newcastle, Australia Combinatorics 2/82- 8/82 Richmond, L. B. (Canada) University of Aberdeen, Scotland Asymptotic Enumeration 3/82 - 8/82 Schmitt, Klaus (U.S.A.) University of Heidelberg, Nonlinear Partial Differential 9/81- 11/81 Technische Universit:lt Berlin, Equations 11/81 - 12/81 Catholic University of Louvain, 4/82- 5/82 Belgium Stakgold, lvar (U.S.A.) Ecole Polytechnique, Switzerland Nonlinear Boundary Value Problems 9/81 - 1/82

440 Name and Home Country Host Institution Field of S(!ecial Interest Period of Visit Thornton, Carol A. (U.S.A.) Kelvin Grove College of Mathematics Education 7/81 . 7/82 Advanced Education Trubowitz, Eugene (U.S.A.) E. T. H., Switzerland Analysis 9/81 . 6/82 Watson, G. S. (U.S.A.) University of Melbourne, Statistics of Directions 1/82 . 6/82 Australia Visiting Foreign Mathematicians

Abdelhamid, Sami (Kuwait) Florida State University Statistics 8/81 - 8/82 Aitchison, J. (Hong Kong) Princeton University Statistics 9/81 - 1/82 Alameddne, A. F. (Saudi University of Waterloo Graph Theory 9/81 - 8/82 Arabia) Alster, Kazimierz (Poland) Texas Tech University General Topology 9/81 - 5/82 Alt, H. W. (Germany) Northwestern University Fluid Mechanics 9/81 - 9/82 Aron, Richard M. (Ireland) Kent State University Several Complex Variables 9/81 - 5/82 Astala, Karl (Finland) University of Michigan Complex Analysis 9/81 - 8/82 Basawa, I. V. (Australia) Colorado State University Mathematical Statistics 1/82- 6/82 Basqoze, Turkan (Turkey) University of Kentucky Univalent Function Theory 8/81 - 5/82 Becker, Ronald (South Africa) University of Tennessee Applied Mathematics 9/81 - 6/82 Behrends, E. (German Texas A&M University Functional Analysis 7/81 - 8/81 Democrat Republic) Bergman, S. (Sweden) Cornell University Applied Probability and Statistics 9/81 - 6/82 Bialynicki-Birula, Andrzej University of Notre Dame University of Notre Dame 9/81 - 1/82 (Poland) Bier, Thomas (Federal Northwestern University Algebraic Topology 9/81 - 10/82 Republic of Germany) Blledtner, Jiirgen (Federal University of Illinois, Urbana Potential Theory 1/82- 2/82 Republic of Germany) Boland, Phillip (Ireland) Florida State University Statistics 8/81 - 12/81 Buser, Peter (Switzerland) State University of New York, Geometry 4/81 - 4/82 Stony Brook Bushnell, Colin j. (United University of Illinois, Urbana Algebraic Number Theory 8/81 - 12/81 Kingdom) Cal, Mao-cheng (People's University of Waterloo Combinatorics and Optimization 1/81 - 12/82 Republic of China) Cho, Yong (Korea) Oregon State University Relativity 1/82- 6/82 Coates, john H. (France) Princeton University Algebraic Number Theory 9/81 - 12/81 Compagner, A. New York University, Courant Lattice Statistics, Phase Transitions 9/81 - 12/81 (The Netherlands) Cremona, John (Great Britain) University of Michigan Number Theory 9/81 7/82 Cycon, Hans L. (Federal New York University, Courant Scattering Theory 3/81 3/82 Republic of Germany) Daccach, Janey (Brazil) University of Michigan Topology 9/81 - 1/82 Daubechies, Ingrid (Belgium) Princeton University Mathematical Physics 2/81 - 12/81 de Souza, Geraldo Soares Syracuse University Harmonic Analysis 9/81 - 5/82 (Brazil) Eskin, Michael (Israel) New York University, Courant Partial Differential Equations 9/81 - 10/81 Feder, M. (Israel) Texas A&M University Functional Analysis 9/81 - 8/82 Fontaine, jean-Marc (France) Princeton University Number Theory, Algebraic Geometry 9/81 - 6/82 Foulds, L. (New Zealand) University of Waterloo Combinatorics and Optimization 1/82- 4/82 Frohlich, Albrecht (United University of Illinois, Urbana Algebraic Number Theory 9/81 - 5/82 Kingdom) Gallavotti, Giovanni (Italy) Princeton University Mathematical Physics 1/82- 6/82 Gani, joseph (Australia) University of Minnesota Probability and Stochastic Processes 3/82- 6/82 Gerzbach, llya (Israel) University of Delaware Stochastic Models 8/81 - 6/82 Gordon, Y. (Israel) Texas A&M University Functional Analysis 9/80- 8/82 Graffi, Sandro (Italy) Princeton University Mathematical Physics 9/81 - 1/82

441 Name and Home Country Host Institution Field of S(!ecial Interest Period of Visit Griewank, Andreas (Germany) Southern Methodist University Numerical Analysis 1/82 - 5/84 Guararie, D. (Israel) Texas A&M University Harmonic Analysis 9/81 - 8/82 Hao, Ke-Gang (People's New York University, Courant Computer Science 9/81 - 6/82 Republic of China) Harmelin, Reuven (Israel) University of Kentucky Complex Analysis 8/81 - 5/82 Hartley, Brian (Great Britain) University of Utah Group Theory 9/81 - 6/82 Hsieh, Simeon (Taiwan) University of South Carolina Algebra 8/81 - 5/82 Hsu, Sen-Lin (People's Princeton University Differential and Algebraic Topology 9/81 - 6/82 Republic of China) )ackiewicz, Z. (Poland) University of South Carolina Analysis 8/81 - 5/82 )aegermann, M. (Poland) Texas A&M University Logic 9/81 - 8/82 Jaffe, Leon (Great Britain) Southern Methodist University Applied Mathematics 9/81 - 5/82 )ourne, Jean-Lin (France) Washington University, St. Louis Harmonic Analysis 7/81 -10/82 )ozeflak, Tadeusz (Poland) University of Michigan Algebra 9/81 - 1/82 Kashlwara, M. (Japan) Harvard University Partial Differential Equations 2/82- 6/82 Kipnis, Claude (France) New York University, Courant Probability 4/81 - 4/82 Kiro, Shmuel (Israel) New York University, Courant Partial Differential Equations, 9/81 - 8/82 Analysis Kjaer, Knud H. (Denmark) Princeton University Mathematical Physics 2/81 - 1/82 Konig, Manfred (Federal Oregon State University Partial Differential Equations 9/81 - 6/82 Republic of Germany) Kress, Rainer (Federal University of Delaware Applied Mathematics and 9/81 - 6/82 Republic of Germany) Numerical Analysis Krych, Michat S. (Poland) Tufts University Dynamical Systems 9{80- 6/82 Langlais, Michel (France) Purdue University Nonlinear Partial Differential 8/81 - 5/82 Equations Lee, Tai-Chung (Taiwan) Princeton University Several Complex Variables 9/81 - 6/82 Leinfeider, Herbert (Germany) Princeton University Mathematical Physics 9/81 - 6/82 Lenagan, Thomas H. University of Utah Algebra 9/81 - 6/82 (Great Britain) Leviatan, Dany (israel) University of Connecticut Approximation Theory 9/81 - 8/82 Leviatan, Talma (Israel) University of Connecticut Markov Processes 9/81 - 8/82 Li, Yan-sheng (People's University of Arizona Differential Equations 2/81 - 2/83 Republic of China) Lindenstrauss, ). (Israel) Texas A&M University Functional Analysis 9/81 - 8/82 Lindley, Dennis (England) Florida State University Statistics 1/82 - 4/82 Loewy, R. (Israel) Texas A&M University Linear Algebra 9/81 - 8/82 Lowndes, john S. (Scotland) Vanderbilt University Applied Mathematics 1/82 - 5/82 Lu, Shan-)ehn (China) Washington University, St. Louis Harmon lc Analysis 9/81 - 7/82 Lue, Huel-shyong (Taiwan) Princeton University Differential Geometry 9/81 - 6/82 Lukas, Mark (Australia) Colorado State University Applied Analysis 8/81 - 5/82 Lysko, Janusz (Poland) Catholic University of America Topology 9/80- 8/82 Maczynski, Maciev (Poland) University of Denver Quantum Mechanics 3/82 - 6/82 Mancini, Giovanni (Italy) New York University, Courant Partial Differential Equations 9/81 - 8/82 Mandel, Stephen (New Zealand) University of Minnesota Mathematical Genetics 9/81 - 3/82 Mara, Michael Kelly University of Minnesota Statistical Decision Theory 9/81 - 6/82 (New Zealand) Matessi, Carlo (Italy) Stanford University Mathematical Genetics 10/81 - 12/81 Matthews, Charles (England) Harvard University Lie Groups 9/81 - 6/82 Mora·Gine, Xavier (Spain) University of Michigan Partial Differential Equations 9/81 - 8/82 Nashier, Budh (India) University of Kentucky Commutative Algebra 8/81 - 5/82 Nduka, A. (Nigeria) New York University, Courant Mathematical Physics 9/81 - 6/82 Nishida, Takaaki (Japan) University of Michigan Partial Differential Equations 9/81 - 5/82 Nocedal, Jorge (Mexico) New York University, Courant Numerical Analysis, Optimization 9/81 - 6/82

442 Name and Home Country Host Institution Field of Sl!ecial Interest Period of Visit Pal, Satya (India) University of California, Statistical Packaged Programs; 4/81 - 10/81 Los Angeles Biomathematics Panaretos, John (Greece) University of Missouri, Columbia 9/80- 8/82 Petrich, Mario (Germany) Simon Fraser University Algebra 9/81 - 4/82 Picci, Giorgio (Italy) University of Kentucky Systems Theory 1/82- S/82 Proctor, Michael (England) New York University, Courant Applied Mathematics, MHO 4/82- 6/82 Przymusinki, Halina S. Auburn University Logic 9/81 - 6/82 (Poland) Przymusinki, Teodor C. Auburn University Topology and Set Theory 9/81 - 6/82 (Poland) Queyrut, Jaques (France) University of Illinois, Urbana Algebraic Number Theory 1/82- S/82 Quilliott, Alain (France) University of South Carolina Combinatorics 8/81 - S/82 Ramachandran, D. (India) University of North Carolina, Stochastic Processes S/81 - S/82 Chapel Hill Ramamoorthl, R. V. (India) Florida State University Statistics 8/81 - 8/82 Rehder, Wulf (Federal University of Denver Probability, Quantum Mechanics 9/81 - 6/82 Republic of Germany) Reisner, S. (Israel) Texas A&M University Functional Analysis 9/80- 8/82 Rhodes-Robinson, Philip Stanford University Wave Propagation S/81 - 3/82 (New Zealand) Richert, Hans-Egon (Federal University of Illinois, Urbana Number Theory 8/81 - 4/82 Republic of Germany) Rieger, G. (Germany) Texas A&M University Number Theory 9/81 - 8/82 Rinott, Yosef (Israel) Stanford University Mathematical Inequalities 9/81 - 6/82 Ritter, jiirgen (Federal University of Illinois, Urbana Algebraic Number Theory 1/82- S/82 Republic of Germany) Robba, Philippe (France) Princeton University P-adlc Analysis 2/82- 6/82 Robinson, Robert W. University of Michigan Combinatorics and Graph Theory 9/81 - 12/81 (Australia) Rosenfeld, Moshe (Israel) Simon Fraser University Discrete Mathematics 9/81 - 8/82 Salama, Ibrahim (Egypt) University of North Carolina, Categorical Data, Nonparametrics 10/80- 9/81 Chapel Hill Sanz, M. Adela (Spain) University of North Carolina, 9/81 - 7/83 Chapel Hill Sathaye, Avinash (India) Purdue University Algebraic Geometry 8/81 - S/82 Schwichtenberg, Helmut Stanford University Logic 8/81 - 3/82 (Federal Republic of Germany) Seke, joslp (Yugoslavia) New York University, Courant Statistical Mechanics S/81 - S/82 Seneta, Eugene (Australia) Colorado State University Applied Probability 8/81 - 12/81 Serre, Jean-Pierre (France) Harvard University Number Theory 9/81 - 1/82 Shi-Yi, Xu (China) University of Denver Computer Science 9/81 - 6/82 Simha, R. R. (India) McGill University Algebraic Geometry 9/81 - 8/82 Sims, Brailey (Australia) Queen's University Geometric Functional Analysis 1/82- S/82 Small, Christopher (England) Simon Fraser University Statistics 9/81 - 8/82 Spigler, Renato (Italy) New York University, Courant Applied Mathematics 6/81 - S/82 Suiem, P. L. (France) New York University, Courant Applied Mathematics 6/81 - 7/81 Swaminarayan, N. (England) Auburn University General Relativity 9/81 - 6/82 Tiuryn, Jerzy (Russia) Boston University Fixed Point Semantics, Logic of 1/81 - 12/81 Programs Tomczak-Jaegermann, N. Texas A&M University Functional Analysis 9/81 - 8/82 (Poland) Tomm, Ludwig (Federal University of Western Ontario Analysis 8/81 - 7/82 Republic of Germany) Torrea, jose Luis (Spain) Washington University, St. Louis Harmonic Analysis 9/81 - 6/82

443 Name and Home Countr~ Host Institution Field of Sl!ecial Interest Period of Visit Travaglini, Giancarlo (Italy) Washington University, St. Louis Harmonic Analysis 8/81 . 7/82 Tresser, Charles (France) New York University, Courant Dynamical Systems 9/81 - 6/82 Troianiello, G. (Italy) New York University, Courant Partial Differential Equations 9/81 - 5/82 Turk, Jan W. M. University of Michigan Number Theory 6/81 - 12/81 (The Netherlands) VanderKallen, Wilberd Northwestern University Algebraic K-theory 9/81 - 9/82 (The Netherlands) Vargas, C. Arturo (Mexico) University of Utah Applied Mathematics 9/81 - 6/82 Verma, P. D. S. (India) Simon Fraser University Fluid Mechanics 5/81 - 4/82 Verma, R. U. (libya) New York University, Courant Functional Analysis 9/81 - 6/82 Vervaat, W. (The Netherlands) Cornell University Probability 9/81 - 6/82 Vijayan, K. (Australia) University of Waterloo Statistics and Graph Theory 1/82- 12/82 Vogel, Wolfgang (German Queen's University Multiplicity Theory 10/81 - 12/81 Democratic Republic) Wainer, S. S. Stanford University Logic 10/81 - 12/81 (United Kingdom) Waksman, Zeev (Israel) University of Delaware Optimization 8/81 - 6/82 Wang, Ze-ke (People's Princeton University Fixed-point Algorithms 9/81 - 6/82 Republic of China Winzell, Bengt (Sweden) University of Kentucky Partial Differential Equations 8/81 - 5/82 Wojtaszczyk, P. (Poland) Texas A&M University F unctlonal Analysis 9/81 - 8/82 Xekalaki, Evdokia (Greece) University of Missouri, Columbia 9/80- 8/82 Yen, Chih-ta (People's Princeton University Differential Geometry of Lie Groups 9/81 - 6/82 Republic of China) Zhao Shan-Zhong (People's New York University, Courant Magneto Fluid Dynamics 9/81 - 8/82 Republic of China) Zhong, Xi-Chang (People's New York University, Courant Numerical Analysis 9/81 - 8/82 Republic of China) Ziegler, Zvi (Israel) University of Connecticut, Storrs Approximation Theory 9/81 - 8/82 Zou, Hung-bin (People's University of Waterloo Combinatorics 9/81 - 8/82 Republic of China)

Backlog of Mathematics Research Journals

Information on the backlog of papers for re­ fore the deadline for this issue of the Notices. search journals is published in the Notices with the Waiting times are measured in months from receipt cooperation of the respective editorial boards. of manuscript in final form to publication of the Backlog: This is an estimate of the number of issue. When a paper is revised, the waiting time be­ printed pages which have been accepted but are in tween an editor's receipt of the final revision and excess of the number required to maintain copy its publication may be much shorter than is the editing and printing schedules. case otherwise, so these figures are low to that ex­ Observed Waiting Time: The quartiles give a tent. (Publication refers to the fact that the journal measure of normal dispersion. They do not include has actually been received by a subscriber in the extremes which may be misleading. The observa­ Providence, Rhocle Island area; in some cases this tions are made from the latest issue published be- may be two months later than publication abroad.)

Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) journal per Year per Year 5/31/81 12/15/80 (In Months) Q1 M Q3

Acta informatica 8 960 0 * 6 7 10 12 Aequationes Math. 6 640 400 400 12 ** American ). of Math. 6 1400 0 0 12 12 13 1~ Annales Sci. Ecole Nor. Sup. 4 600 312 *** 18 12 13 14 Annals of Math. 6 1200 600 500 18 11 13 14 Annals of Probability 6 1010 441 494 17 20 21 23 Annals of Statistics 6 1350 100 250 15 15 16 18 Applicable Analysis 8 400 * * 12 13 27 34

444 Editor's Estimated Observed Waiting Approximate Time for Paper Time in latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) journal per Year per Year 5/31/81 12/15/80 (In Months) Q1 M Q3 Appl. Math. & Optimization 4 * * 230 * 17 17 21 Arch. History of Exact Scis. 8 768 0 0 9·10 9 11 12 Arch. of Rational Mech. Anal. 8 780 0 0 13·14 22 25 30 Bull. Soc. Math. France 4 480 277 *** 18 10 13 15 Canad. j. of Math. 6 1536 1325 1500 20 17 22 24 Canad. Math. Bulletin 4 512 437 516 16 16 20 24 Comm. Math. Physics 12 1824 0 0 4·5 7 10 12 Computing 8 768 390 0 8 10 11 11 Duke Math. j. 4 800 0 0 8 6 6 8 Houston I. of Math. 4 600 300 300 6 18 20 28 Illinois 1. of Math. 4 704 1017 1020 20 25 26 27 Indiana Univ. Math. 1. 6 960 500 800 18 11 12 15 lnt'l 1. of Math. & Math. Scis. 4 800 200 300 11 9 12 15 lnventiones Math. 12 2096 0 0 8·9 7 11 11 Israel J. of Math. 12 1150 900 530 15 9 11 15 1. Amer. Stat. Assoc. 4 1000 * * 4 8 9 11 j. Assoc. for Comp. Mach. 4 850 800 900 24 13 14 18 J. Comp. & Sys. Sci. 6 900 0 0 12 13 14 22 j. Diff. Geometry 4 650 350 800 12 33 34 36 J. Math. Biology 4-6 * * * * 7 7 7 ). Math. Physics 12 3200 0 0 4·5 10 11 18 I. Math. Sociology 2 300 0 * 4·6 t 1. Operator Theory 4 800 500 200 9 12 13 14 J. Symbolic Logic 4 850 0 0 20 24 25 28 Linear Algebra & Appl. 7 2100 300 * 12 10 11 12 Linear & Multilinear Alg. 6 540 80 * 3 12 12 13 manuscripta math. 12 1632 0 * 5 4 7 8 Math. Biosciences 10 * * • * 7 8 10 Mathematical Programming 6 720 480 400 24 9 10 11 Math. Systems Theory 4 • * 235 • 8 13 14 Math. of Comp. 4 1500 0 0 12 9 10 10 Math. of Operations Res. 4 600 300 450 11 12 13 15 Math Annalen 24 • * 0 • 7 7 8 Math. Zeitschrift 12 * • 0 • 8 9 10 Memoirs of AMS 6 2000 0 0 8 tt 11 tt Michigan Math. 1. 3 384 300 • 12 14 18 21 Monatshefte fiir Math. 8 704 100 250 9 10 11 15 Numer. Func. Anal. & Optim. 8 900 so 0 7 5 6 7 Numerische Math. 6 920 0 0 8.5 6 11 18 Operations Research 6 1200 200 80 12 23 26 31 Pacific J. of Math. 12 3600 * • 12 17 20 31 Proceedings of AMS 12 2200 0 0 10 11 12 13 Quarterly of Appl. Math. 4 448 150 250 12 10 11 14 Rocky Mtn. J. Math. 4 768 450 450 26 25 27 34 Semigroup Forum 8 • * 0 * 3 4 5 SIAM j. Alg. & Disc. Methods 4 500 43 36 11 7 8 10 SIAM ). Appl. Math. 6 1150 520 294 14 11 12 15 SIAM 1. on Computing 4 800 128 18 11 12 13 14 SIAM j. Control & Optim. 6 850 200 111 11 11 12 17 SIAM 1. on Math. Anal. 6 960 211 143 11 8 9 13 SIAM j. on Numer. Anal. 6 1140 272 294 11 11 12 13 SIAM j. on Sci. Stat. Comp. 4 500 0 0 8 7 9 12 SIAM Review 4 550 0 124 8 11 13 14 Stochastics 4 350 0 * 4·6 ttt Topology & Its Appl. 3 330 330 330 12 12 13 15 Transactions of AMS 12 3600 400 400 13 13 13 15 Z. Wahrscheinlichkeitstheorie 12 1720 0 0 9 9 11 15

*No response received. ***New to compilation. Figures not available for 12/15/80. **No new issues received since last survey. Note also, how· tOo not indicate the date of receipt of manuscripts. ever, that the data given in the last survey was mislead· ttThe latest issue consisted of just one article. ing. The Aequationes had just then ended a year·long tttThis journal indicates only date of acceptance, not moratorium on acceptance of new papers, aimed at re· date of receipt. Based on that the observed figures ducing their backlog. The figures in the last columns of for the latest issue are 9, 11, 12. our last survey were based on an issue containing part of the old backlog, and hence were not relevant to the current situation.

445 AMS REPORTS AND COMMUNICATIONS

Report of the Treasurer The Treasurer this year again presents to the membership an abridged statement of the financial position of the Society, in semi-informal narrative style. A copy of the Treasurer's Report, as submitted to the Trustees and the Council, will be sent from the Providence Office to any member who requests it from the Treasurer. The Treasurer will be happy to answer any questions members may wish to put to him concerning the financial affairs of the Society.

I. A DESCRIPTION OF THE FINANCIAL POSITION OF THE SOCIETY AS OF DECEMBER 31, 1980 The Society had investments in accounts in the Rhode Island Hospital Trust National Bank ...... $ 3,704,375 There was owing to it by members, subscribers, and others (less allowance for doubtful accounts) ...... 146,655 It had prepaid expenses and deposits ...... 146,694 It had invested in the headquarters building, Mathematical Reviews editorial offices, a computer, and other equipment ...... 2,312,150 Making a total of current and fixed assets of...... 6,309,874 The Society also held investment securities and uninvested principal cash valued at ...... 1,771,144 (The approximate market value December 31, 1980 was S 1,907,188) Total a11et1, therefore, were ...... $ 8,081,018

Oft'setting these assets, the Society had Accounts payable ...... 649,462 Reserved unearned dues and subscriptions ...... 3,338,478 Other miscellaneous liabilities ...... 172,622 Funds and grants received from various sources to support particular projects such as the summer institute, symposia, etc...... $ 5,916 A surplus in its publication funds...... 1,516,121 1,522,037 Its general fund reflected a surplus balance of ...... 627,275 Thus, accounting for all the current funds ...... 6,309,874 The invested funds represent the following: The Endowment Fund, largely the gifts of members ...... 100,000 Robert Henderson Endowment Fund ...... 548,223 Joseph Fels Ritt Memorial Fund ...... 22,521 The Library Proceeds Fund, derived from the sale of the Society's library in 1959 ...... 66,000 The various prize funds...... 162,755 Dues and publication reserve fund ...... 105,992 Mathematical Reviews subscription reserve fund ...... 80,000 Undistributed net gains on investment transactions...... 478,508 Friends of Mathematics Fund ...... 24,331 Other funds, derived mainly from bequests to the Society by members, which Trustees were either required to invest or which they have invested at their option, the income being used for the general purposes of the Society ...... 182,814 1,771,144 Total liabilities and fund reserve•, therefore, were...... $ 8,081,018

446 II. AN ACCOUNT OF THE FINANCIAL TRANSACTIONS OF THE SOCIETY DURING THE FISCAL YEAR ENDED DECEMBER 31,1980 The Society has two types of receipts: funds for special purposes and projects; and general funds, from which are met the general operating expenses, including the publication of Abstract., the Bulletin, the Proceedings, Mathematics of Computation, the Notices, Current Mathemotical Publications, Mathemotical Reviews, and the 1ransactions. To meet its general obligations, the Society received from Dues and contributions of individual members ...... 492,965 Dues of institutional members ...... 202,132 Dues of corporate and associate members ...... 5,525 700,622 Less amount allocated to Notices and Bulletin ...... 421,333 279,289 Sales of Society journals ...... 3,420,248 Investments and trusts ...... 518,234 Publication contributions ...... 85,001 Miscellaneous sources ...... 34,008 Total general rec:eipte ...... 4,336,780 These funds were expended for Publication of Society journals ...... 4,016,392 Net transfers to invested, special and publication funds, including support of membership services and costs of meetings ...... 332,377 Miscellaneous ...... 108,872 Total general expenses and tranafen ...... 4,457,641 Net Deficit transferred to general funds...... s (120,861)

Respectfully submitted, Franklin P. Peterson Treasurer

Recent Appointments Committee on Postdoctoral Fellowships. Continu­ ing members of the committee are Benedict Gross Committee members' terms of office on standing (1982}, Paul Rabinowitz (1983}, and Donald E. Sarason committees expire on December 31 of the year (1983). given in parentheses following their names, unless Kenneth M. Hoffman (1985) has been appointed by otherwise specified. President Andrew M. Gleason to be chairman of the Committee on Science Policy. Continuing members A Committee on Summer Conferences has been of the committee are R. D. Anderson (1981), Hyman appointed by President Andrew M. Gleason. The Bass (1984}, Felix E. Browder (1984), Frederick W. committee members are James G. Glimm, Robin Gehring (1984), Andrew M. Gleason (1983), Herbert Hartshorne, Kenneth Kunen, R. B. Melrose, Donald B. Keller (1983), George D. Mostow (1983), Ralph S. S. Ornstein, Julius Shaneson, Raymond 0. Wells, Jr., Phillips (1983), Linda Preiss Rothschild (1983), James chairman, and Shmuel Winograd. D. Stasheff (1983}, Elias M. Stein (1983), and Hans F. Harsh V. Pittie (1982) has been appointed by Weinberger {1983). President Andrew M. Gleason to be the chairman Marshall H. Stone has been appointed by President of the Committee to Select Hour Speakers for Andrew M. Gleason to the Committee on Service Southeastern Sectional Meetings. Continuing to Mathematicians in Developing Countries. The members of the committee are Frank T. Birtel (ex continuing members of the committee are Raymond officio), Marvin Rosenblum (1982), David G. Schaeffer G. Ayoub, chairman, James A. Donaldson, and James (1981), and W. Stephen Wilson (1981). Eells. Robert I. Soare (1982) has been appointed by President Andrew M. Gleason to be chairman of the

447 Reports of Meetings Associate Secretaries: Paul T. Bateman The Council Meeting in Pittsburgh (two positions) Hugo Rossi The Council met at 7:00 p.m. on 15 May 1981 Member-at-Large: A. T. Bharucha-Reid in the Evergreen Room of the Conference Center of (five positions) Melvin Hochster the Marriott/Greentree near Pittsburgh, Pennsylvania. Robert P. Langlands President Gleason was in the chair. M. Susan .Montgomery The Council received the audit report from the Yiannis N. Mosehovakis Treasurer. An abbreviated version is presented on Wilfried Schmid pages 446 and 447 of this issue. Hector J. Sussmann In consideration of a report from the Committee Member of the Editorial Committee for on Opportunities in Mathematics for Disadvantaged Mathematical Surveys: Donald W. Anderson Groups, the Council passed the following resolution: The Council of AMS views the underrepresen­ Mathematics of tation in mathematics of members of disadvan­ Computation: Daniel Shanks taged groups as a serious problem for American Transactions and science. The maintenance of eminence in science Memoirs: William B. Johnson requires that all scientific talent be nurtured, (two positions) Walter David Neumann developed, and fully utilized wherever such talent is found. Mathematical Reviews: Morton Lowengrub The Council acted on several specific proposals from Colloquium the Committee. Publications: John W. Milnor The Council passed the following resolution: Proceedings: David M. Goldschmidt The Council of the AMS, having heard reports (two positions) J. Jerry Uhl, Jr. on the discrimination in granting science degrees in mathematics in the USSR, on unfair conduct Bulletin: Calvin C. Moore of admission examinations in several universities Committee to Monitor Problems in the USSR, on discriminatory editorial policies in Communication: Robert G. Bartle of some Soviet mathematical journals, and on (two positions) Guido L. Weiss the practice of the Soviet National Committee of denying many invited speakers the possibility of It was understood that more names for Vice President attending scientific meetings or to invited visitors or Member-at-Large might appear by petition. If the the possibility of coming to host institutions, and number of names for Member-at-Large is not brought having taken into account that such practices to ten by petitions the Council has stated its intent to are based on criteria other than scientific, has do so. concluded that it must disassociate itself from The Council was informed that the President had such practices and has decided to appeal to named six candidates for four places on the Nominating mathematicians not to support such practices. Committee of 1982, namely The Council recommends sending invitations Morton L. Curtis Ralph S. Phillips to visit the USA or to attend meetings to Robion C. Kirby Linda Preiss Rothschild outstanding Soviet mathematicians even if the Lawrence Markus George W. Whitehead past record shows that chances of their coming If nominations by petition do not bring this number are poor. to eight, the President has been requested to do so. In these ways American mathematicians can The Council adjourned at midnight. show that they are not indifferent to the fate of Soviet mathematics. Everett Pitcher The Council nominated the following persons as Bethlehem, Pennsylvania Secretary candidates for Society offices in the election of 1981: President Elect: Julia B. Robinson Trustee: Ronald L. Graham Vice-President: Michael Artin (two positions) Joan S. Birman James G. Glimm Elias M. Stein

448 NEW COMPUTERIZED RETRIEVAL SERVICE in applied mathematics, physics, engineering, computer Articles have been appearing frequently in the science, biology, operations research and other fields popular press about the coming revolution in television, that contain new and interesting mathematics. It in which ''the tube" will be used not only for providing contains reviews of 35,000 to 40,000 items per year. entertainment (?) but for conveying information - and To ensure that its coverage is complete, the editors in fact information tailored to the interests of the of Mathematical Reviews examine all issues of more recipient. The principle is that there will be central than 1,500 journals. Annual author and subject indexes data banks with which one can communicate in are published, the latter being based on a classification something approximating a genuine dialogue: you type system under which the entries in Mathematical in what you want to know and get back information Reviews are classified at the editing stage. This on the stock market, weather, baseball scores, airline classification system has evolved over the years; the schedules, even full text of best sellers. This is not one currently in use, the "1980 Mathematics Subject pie in the sky; it has already happened in England, Classification," is an outgrowth of the "AMS (MOS) and will presumably happen in the United States when Subject Classification Scheme (1970)." certain financial and technical questions have been In addition to annual indexes, cumulative indexes settled. have been published sporadically which cover the In the meantime, unbeknownst to many mathe­ entirety of Mathematical Reviews, over the successive maticians, this revolution has already occurred in periods 1940- 1959, 1960- 1964, 1965- 1972 and most scientific and in many other academic disciplines. (most recently) 1973-1979. The first three of Firms that maintain data banks in their computers these contain author but not subject indexes; only for use by paying customers are called "data base ven­ computerization made a subject index feasible over dors," each file of information produced by one source the most recent period. (Rather rudimentary subject being called a data base. There are data bases for indexes were published in the annual indexes during chemistry, psychology, law, medicine, agriculture- in the period 1940- 1958, but were then discontinued.) fact, there are now about 700 data bases available You can retrieve relevant citations from Mathemati­ from vendors, and there are more than 100 vendors cal Reviews in three ways: using the author index in the world. It is estimated that all the on-line if you know who the author is, using the subject data bases together contain more than two hundred index if what you are interested in fits neatly into fifty million records, of which one hundred million the classification scheme used by MR, and skimming are accessible "on-line" (that is, from a terminal to a through the appropriate sections of the issues of Math­ central computer, interactively), and that about five ematical Reviews, if you have the time. But there are million searches are conducted annually. some disadvantages: MATHFILE "on-line" • These are the only ways to search. This is the first announcement of a new service • Primary and secondary subject classifications have that the Society, in collaboration with certain vendors, been attached to items by human beings; they will soon be providing to mathematicians, scientists may be inaccurate or inadequate, producing and librarians. Briefly put, all the bibliographic and unretrievable items. subject-classification information concerning the books • Cumulative indexes, by their nature, appear only and articles reviewed in Mathematical Reviews since infrequently, and you will usually have to search 1973 will be available on-line within a few months. through annual and even issue indexes for the more The data base containing all this information, to recent developments. be called MATHFILE, will be updated each month • Compiling a bibliography of any length is exceed­ as new issues of Mathematical Reviews become ingly time-consuming, not only in the time spent available. As soon as MATHFILE has been installed in searching but in the time required to write down by the vendors, anyone with a question about the what you find -and then to retype what you wrote mathematical literature from 1973 on will be able to down. communicate from a terminal, via inexpensive network communication facilities, with a central computer New kinds of searches possible maintained by one of these vendors, and, using the As has been said, MATHFILE contains all the vendor's retrieval software, obtain a listing of all bibliographic information contained in the headings the entries having the characteristics specified by the of all the entries in Mathematical Reviews since searcher. January 1973, together with all the primary and Why should anyone want to? Why should you, secondary subject classifications attached to those as a typical mathematician, pay for long-distance items. Furthermore, starting with the material from communication to a commercial firm's computer, and the July 1979 issue of Mathematical Reviews, all pay by the minute for being connected to it, just to the significant words that occurred in the reviews find out what was already in Mathematical Reviews, themselves are in the file. This file is being indexed in which you presumably have in your library? To answer many different ways by the vendors, with the result that that you should consider what is now available, and you will be able to search through the file, more or less what you can and can't do with it. instantaneously, and locate all entries having any of a Mathematical Reviews provides essentially com­ number of different attributes, or Boolean combinations plete coverage of pure mathematics, and of those works thereof. For example, in addition to being able to

449 find all books or articles written by a specified person service, which provided offprints as well as information. or having a specified primary classification, you can It was probably born a decade too soon.) To use find those containiRg a given word or phrase in their MATHFILE in this way you construct a "profile" of titles (or in the reviews, for more recent items)- or what you are interested in, using Boolean combinations if you should wish, all those in Russian, not by Ju. of the various searchable elements, and put this profile V. Linnik, with the phrase "prime" in the translated on record with the vendor; then periodically (at title, in any of the sections numbered from 26 to 40 intervals you specify) a search is made using this profile in the 1970 classification system, and reviewed between on the updated portion of MATHFILE and the results 1973 and 1976. There has obviously been an enormous are printed out and mailed to you. The simplest increase in "searchability" in this file, in comparison version of a profile would be merely the code name for with the same information as it is passively listed in a subheading in the classification system, or several of the 1973- 1979 Cumulative Index. them; with this search you would be getting a subject What you actually get first from a search query is index for your field of interest, which you would be a report of how many items there are in MATHFILE able to get on paper from Mathematical Reviews of the kind described. Now the interactive nature of only once a year. But you can almost as easily be the search comes into play. If you asked exactly the more sophisticated, by ruling out papers in languages question you intended (what are all the papers by Paul you don't read or papers from a journal that you have Erdos since 1973?), you naturally have to accept the found approaches the subject from a point of view you answer, whether the number of such items is large or have no interest in, or by specifying the authors whose small. But if your interest is in getting a sample of works you want to be alerted to. And as with other reasonable size, of items to look at, you may wish kinds of searches you can get a listing of citations that to increase or decrease the number of items reported, would be hard to extract from Mathematical Reviews by broadening or narrowing the question with the itself. For example, you could get all the papers help of and's, or's or not's. When you are satisfied containing the words "Markov process" or "Markov that you have asked an appropriate question, you can processes" in their titles or reviews, many of which you instruct the computer to print the actual citations would surely miss if you merely looked through the either on your terminal or on the vendor's own high­ papers listed under 60G, where most of them occur. speed printer, sending you the result by mail. The first alternative is more immediate, the second less Options available expensive; in either case you avoid a good deal of labor Finally, it should be mentioned that you have a in not having to write it out yourself. number of options as to the amount and kind of detail Mathematicians are accustomed to regarding time to be included in the listing of citations. You might spent in a library, searching the literature, as a part want to get just a list of MR numbers, if you're paying of their intellectual activity, simply because it could to be connected to the vendor's computer while you never before be separated out. Now that the searching print out the list on your own terminal and you plan to process can be speeded up, it is sensible to begin to read the reviews anyway. Or you can get a titles-only take account of the cost of this time. Librarians listing of a few of the entries in a file resulting from a who have had experience in both manual and on­ search, to see whether you have focused on the kind of line searching report that the latter is much, much articles you really want, and then get the full citations faster- hours or days translate into minutes. They printed out off-line. Some vendors permit the listing of report that even when communication/computer costs any record elements at all, so you could, for example, are taken into account, the cost of on-line searching is get a list of all the journals that have published items lower because of the saving in their time. (Even more of interest to you, or to your colleagues - this might so at a senior professor's salary rate!) And at the same be especially useful for an accessions librarian in a time a more precisely tailored search results, with the specialized library. assurance that none of the appropriate citations have To summarize, on-line searching has these features been inadvertently missed. which make it a powerful complement to- but not a This section has been written as if you yourself will substitute for- Mathematical Reviews: do the searching. That may be the case -anyone can • It provides many more ways of searching the obtain a password to a vendor's file and make direct literature than through the traditional author and queries- but probably you would instead describe your subject indexes. question to an experienced searcher in your institution's • Searches can be made very rapidly- so fast that library, and that person, being fluent in the vendor's they save money under any reasonable allocation command language, would be able to effect the search of cost for the searcher's time. at substantially less cost. • MATHFILE is always current, while the most New alerting service available recent cumulative index may be several years old. There is another, rather different way in which • You can use it in the "automatic mode," as an SDI MATHFILE can be used. This is as an alerting or alerting service. service, or as it is called in the trade, an SDI • You can get the type of output format most service, the letters standing for Selective Dissemination convenient to your needs, and at a low cost. (Some of Information. (MOS- the Society's Mathematical vendors will even provide photocopies of cited Offprint Service- was an earlier instance of an SDI items, for a fee.)

450 What you cannot get from MATHFILE, of course, when a word occurs so widely that it must be is the collection of reviews themselves. You can combined with other words for a discriminating search on significant English words in the reviews, but search phrase, and to pinpoint the areas in which obviously a special terminal would be required even the word is most frequently used. Also, by noting to show all the alphabets and symbols that occur the words adjoining the one you thought of first, in Mathematical Reviews, and a full composition you may be led to useful variants on which to system would be needed to display the mathematics search. intelligibly. MATHFILE is not a substitute for Finally, an inversion of this last list: title words Mathematical Reviews, it is a valuable supplement arranged by classification, again to help the user to it. find the right words on which to search to find a Search Guide specified subject. To make it even more effective and less expensive to Cost to the user use, the Society is preparing a book, a guide for users The cost to the user of searching MATHFILE of MATHFILE, which will contain a lot of information depends somewhat on which vendor is used, but will be not available elsewhere. With it you can plan a search in the neighborhood of $65 per connect hour (prorated); before you start paying for connect time (the number of a typical search takes five or ten minutes, if it has minutes you are connected to the vendor's computer), been organized beforehand. (Some universities pay for and when you have found suitable citations it may help searches themselves, others pass the cost on to the you find the items in the library. This manual will person who asked for the search, and some even add have the following components: a service charge of their own.) Communication with Instructions on how to get started on the the computer is normally established over one of the vendors' systems, a description of the contents telephonic networks such as Telenet or Tymnet, which of the file, suggestions on search techniques, and charge at a rate of less than $10 per hour. These an explanation of the capabilities of the vendors' networks have local numbers in most of the major programs. cities; at worst you might have to use their WATS A list of all MR abbreviations of journal line, at a cost of about $15 per hour. Almost any names, together with their full names according kind of printing or video terminal can be used, but a to the Library of Congress, and some other coupler or modem will be needed to connect it to the information primarily of interest to librarians. phone line. All the citations resulting from a search Also, a correlated three-column display of the two can be displayed or printed on the user's terminal, classification systems used by MR and the system but of course that will involve some connect time. used by the Library of Congress. These kinds Alternatively, you can have the citations printed out of information sometimes help to find journals on by the vendor and mailed to you, at about 25 cents per library shelves. citation. An alphabetical index of the words occurring in A more complete description of MATHFILE and the 1980 classification system. what it ca.~\ be used for will be presented at the An alphabetical list of significant words occurring Summer ~ting in Pittsburgh, on Wednesday, August in titles of entries in the 1973-1979 issues of 19, at 9:50ja.m. The users' guide for MATHFILE Mathematical Reviews; following each word is a is expected to be published in the fall. Detailed list of the sections in which such titles occurred information about it will appear in the Notices. and the number of occurrences in each section. William J. LeVeque The purpose of this list is to warn the searcher

451 OFFICERS AND COMMITTEE MEMBERS OF THE SOCIETY

Terms expire on December 31 of the year given unless otherwise specified.

BOARD OF TRUSTEES COLL UIUM PROCEEDINGS ohn W. Milnor 1981 Thomas H. Brylawski 1984 Steve Armentrout 1982 Richard S. Palais 1981 Stephen Smale 1g83 Oavid Eisenbud 1981 (ex officio) Frank 1 in P. Peterson 1982 Elias M. Stein, chairman 1982 William E. Kirwan, II 1983 Andre~ M. Gleason 1982 (ex officio) Oav i d J. Lutzer 1983 (ex officio) Alex Rosenberg 1g83 MATHEMATICAL REVIEWS Robert R. Phelps 1981 Joseph J. Kahn, 1982 P. Emery Thomas, 1984 Paul T. Bateman 1982 Reinhard E. Schultz 1983 chairman secretary Elwyn R. Berlekamp 1981 Lawrence A. Zalcman 1982 Cathleen S. Morawetz 19R5 Carl M. Pearcy, chairman 1983

MATHEMATICAL SURVEYS Associate Editors COUNCIL Donald W. Anderson 1981 Jeff Cheeger .QE_u_cERS ( Mem~~_E_f__ !~~.£Q.!J~_._~f!_i_~ R, James Milgram, 1982 Doug Curtis chairman Richard R. Goldberg President Andrew M. Gleason 1982 Jane Cronin Scanlon 1983 Oavid M. Goldschmidt Ex-President !"Jeter D. Lax 1981 Thomas J. Jech Vice-Presidents Hyman Bass 1g81 Thomas G. Kurtz Associate Editors for Catherine L. Olsen Paul R. Ha lmos 1gB2 Contemporary Mathematics Mary Ellen Rudin 1981 Donald Sarason Jeff Cheeger George R. Sell Secretary Everett Pitcher 1982 Adriano Garsia Associate Secretaries Raymond G. Ayoub 19B2 J. Jerry Uhl, Jr. Kenneth Kunen Robert L. Wi 1son Paul T. Bateman 1g81 James I • Lepowsky Frank T. Birtel 1g82 Johannes C. C. Nitsche Kenoeth A. Ross 1g81 Irving Reiner Treasurer Frankl in P. Peterson 1982 TRANSACTIONS AND MEMOIRS Associate Treasurer Steve Armentrout 19B2 MATHEMATICS OF COMPUTATION Michael Artin 1982 James H. Bramble, 1983 W. A. J. Luxemburg 1981 MEMBERS-AT -LARGE chairman Jan Mycielski 1983 Carl de Boor 1g82 Steven Orey 1g82 Donald L. Burkholder 1983 Lee Lorch 19B2 Morris Newman 1983 Paul H. Rabinowitz 1g83 Chand 1er Davis 1981 0. Carruth McGehee 1gB3 Daniel Shanks 1981 James D. Stasheff, 1981 Frederick W. Gehring 1982 RichardS. Millman 19B2 chairman Robert P. Gi 1bert 1981 Marian B. Pour-El 1982 Associate Editors R. 0. Wells, Jr. 1982 Ronald L. Graham 1981 Paul J. Sally, Jr. 1983 Todd Dupont 1982 Alan J. Hoffman 1983 David A. Sanchez 1982 Walter Gautschi 1983 Associate Editor Linda Keen 1983 Karen Uh lenbeck 1981 Donald Goldfarb 1g81 Alan Weinstein 1981 Johan H. B. Kemperman 1981 Daniel H. Waqner 1981 Eugene Isaacson 1g33 Heinz-Otto Kreiss 1981 Yude ll L. Luke 1 g31 PUBLICATIONS AND COMMUNICATIONS James N. Lyness 1983 John E• Osborn 1g33 COMMITTEES Beresford Parlett 1982 Editorial Committees Philip Rabinowitz 1g81 John R. Rice 1981 (Except for Associate Editors, members of these Committees are Charles C. Sims 1983 members of the Council, ex officio) Hans J. Stetter 1982 Vidar Thomee 1983 AMERICAN JOURNAL OF MATHE MAT­ Henry P. McKean, Jr. 1981 Hugh C. Williams 1g33 JCS. Society's Representatives Hugh L. Montgomery John W. Wrench, Jr. 1981 ctor W. Guillemin 1983 David Mumford 1981 Richard G. Swan 1982 Julia B. Robinson 1983 Gian-Carlo Rota 1981 Francois Treves 1983 BULLETIN ~NEW SERIES) Communications Fe 11 x E, rowder 1983 Associate Editors for Re­ Meyer Jerison, chairman 1982 (Only the Chairman of this Committee is a member, ex officio, I. M. Singer 1981 search Expository Articles Lipman Bers 1981 of the Counc i 1. ) Frederick W. Gehring 1981 Associate Editors for Re- Irving Kaplansky 1982 Monitor Problems in Communication search Announcements - John W. Milnor 1982 Robert G. Bartle, 1g81 William J. LeVeque Charles L. Fefferman 1983 Julia B. Robinson 1982 chairman (ex officio) Melvin Hochster 1983 Stephen Smale 1981 W. Wistar Comfort 1g82 Carl M. Pearcy 1g31 Robert P. Langlands Suzanne Fedunok, consultant Robert W. Ritchie 1982 Richard K. Lashof Karl H. Hofmann 1g33 Lynn A. Steen 1983

Pub 1icat ion Program R. James Milgram COMMITTEES Donald W. Anderson Cleve B. Moler Murray Gerstenhaber, chairman Everett Pitcher (ex officio) OF THE BOARD OF TRUSTEES Wi 11 i am J. LeVeque Audit Composition Technology can't. Cathleen S. Morawetz Richard S. Palais Michael Spivak Peter G. Weiner LIAISON COMMITTEE

Andrew M. Gleason, Frank 1 in P. Peterson Everett Pitcher Investment chairman ~~~e~t Armentrout Steve Armentrout Joseph J. Kahn, chairman Joseph J. Kahn Peter D. Lax Franklin P. Peterson, chairman EXECUTIVE COMMITTEE Frank 1 in P, Peterson Everett Pitcher of the Council Membership A. Bruce Clarke 1g81 Frederick W. Gehring 1g81 Peter D. Lax 1g81 Composition Technology Edward R. Fadell, 1g81 Andrew M. Gleason, 1g33 (ex officio) Donald E. Knuth chairman chairman Everett Pitcher (ex officio) Richard S. Palais, chairman Frederick W. Gehring 1g82 (ex officio) Mary Ellen Rudin 1g82 Peter Renz Jack K. Hale 1983 Ronald L. Graham 1981 Isadore M. Singer 1982 452 OF THE ETaloyment and Educational Policy INTERNAL ORGANIZATION lda K. Barrett, 1982 Robert J. Thompson 1982 MATHEMATICAL SOCIET" chairman Barnet M. Weinstock 1983 AMERICAN Donald C. Rung 1981 William P. Ziemer 1981 Standing Committees Hans Schneider 1g33 ttee Co1TJ11ittees Data Subconmi Audrey Terras Co1TJ11ittee on consultant James A. Donaldson 1g82 Everett Pitcher (ex officio) D. J. Albers, Robert J. Thompson Ronald G. Douglas 1g82 Marian B. Pour-El 1gB2 l ida K. Barrett Barnet M. Weinstock, Frederick W. Gehring 1g82 Neil J. A. Sloane 1g82 lincoln K. Durst chairman R. James Milgram, 1g82 Wendell H. Fleming chai nnan Arthur P. Mattuck Donald C. Rung, chairman Short Course Subconmi t tee Ronald L. Graham, chairman Nominating Comnittee ~t Concerns Subcom­ Robert W. McKelvey Martin D. Davis 1g81 Ivan Niven 1982 mittee Cathleen S. Morawetz Ronald G. Douglas 1gB2 Jane Cronin Scan 1on 1g81 Charlotte lin Barbara l. Osofsky Reuben Hersh 1g82 Karen Uh 1en beck 1981 Hans Schneider Phillip Straffin Hugh l. Montgomery, 1g81 Guido l. Weiss 1982 chairman Human Rights of Mathematicians R. H. Bing 1982 John A. Nohel, chairman 19B2 Ad Hoc Committee Chandler Davis !983 Vera S. Pless 1981 Ed Dubinsky 1983 Eduardo D. Sontag 1981 Centennial Co1TJ11ittee John l. Kelley 1981 Gail S. Young 1983 Felix E. Browder Everett Pitcher, chairman Harold M. Edwards legal Aid Andrew M. Gleason Steve Armentrout 1g81 Todd Oupont 1981 Morton L. Curtis, 1982 Murray Gers tenhaber 19B2 OTHER PUBLICATIONS COMMITTEES chairman Standing Committees Opportunities in Mathematics for Disadvan~d Grou~ Manuel P. Berriozabal !gB2 Richard K. lashof Jg8J Notices Editor i a 1 Conmi t tee James A. Donaldson, !g84 Choy-Tak Taam Jg81 Ralph P. Boas 1g33 Everett Pitcher, chairman chairman Scott Wi 11 iams 1983 Ed Dubinsky 1g82 (ex officio) Gloria F. Gilmer JgS2 Lincoln K. Durst (ex officio) Mary Ellen Rudin 1g33 Richard J. Griego 1g82 Bertram Wa 1sh 1983 Postdoctoral Fellowships Susan Montgomery 1g82 Benedict Gross 1982 Paul Rabinowitz 1983 Robin Hartshorne 1981 Donald E. Sarason Jg83 Bernard Mask it !g81 Robert I. Soare, chairman I q32 Proceedings of Symposia in Applied Mathematics Editorial Co1TJ11ittee Science Pol icy Stephen Childress 1g33 Ronald l. Graham, Richard D. Anderson Jg8J Herbert B. Keller 1983 Stephen Crandall 1982 chairman 1g81 Hyman Bass 1g84 George D. Mos tow 1gB3 Felix E. Browder !g84 Ralph S. Phi 11 ips 1983 Frederick W. Gehring !g84 linda Preiss Rothschild 1g83 PROGRAM AND MEETINGS Andrew M. Gleason 1983 James D. Stasheff 1g83 Kenneth M, Hoffman, 1g85 Elias M. Stein 1gB3 Standing Committees chairman Hans F. Weinberger 1g83 Program Co1TJ11ittee for National Meetings Enrico Bombieri 1g33 Everett Pitcher Service to Mathematicians in Developing Countries Ronald l. Graham 1g33 (ex officio) Raymond G. Ayoub, chairman James Eells Hugh L. Montgomery, 1981 J. H. Sampson 1g82 James A. Donaldson Marsha 11 H. Stone chairman Barry Simon 1g82 George D. Mostow 1g81 Teachin~ loads and Class Size Morns • Marx 1981 James D. Stasheff, 1981 Eastern Sectional Meetings (Select Hour Speakers for) chairman Raymond G. Ayoub, chairman Herman R. Gluck 1g82 (ex officio) Daniel J. Kleitman 1g81 Thomas F. Banchoff 1981 S. S. R. Varadhan 1982 Far Western Sectional Ad Hoc Committee orris W. Hirsch Kenneth A. Ribet, Translations from Chinese chairman f. Y. Lam, chairman T. P. l iu C. C. lin Frank 1 in P. Peterson

1g81 1gB1 PRIZES AND AWARDS 1981 Standing Committees Jr., 1981 Prizes Walter Feit 19B2 John W. Milnor 1g82 S. Klamkin 1981 Ivan Niven, chairman 1gB1 ~ Murray EVerett Pitcher, chairman Guido L. Weiss 1g82 Marian B. Pour-E 1 1982 ------1gB3 Nat ion a 1 Awards and Pub 1 i c Representation David A. Sanchez 1g82 Andrew M. Gleason, 1g82 Peter D. lax 1981 chairman Everett Pitcher (ex officio) Gibbs lecturers for 1g81 and 1982, Conmittee to Select James G. G 1i11111 1981 Ronald l. Graham Arthur S. Wightman Ralph S. Phillips, chairman Steele Prizes (Terms expire June 30) Robin Hartshorne 1g82 A 1ex Rosenberg 1g83 Reuben Hersh 1982 Gi an-Carlo Rota 1g81 STATUS OF THE PROFESSION M, D. Kruskal 1983 Max M. Schiffer 1g83 Louis Nirenberg 1g83 Gail S. Young, Jr., 1g83 Standing Committees Henry 0. Pollak 1981 chairman Academic Freedom, Tenure, and Employment Security Fred G. Brauer 1gB3 Calvin C. Moore 1g83 lewis A. Coburn 1g82 Arlan B. Ramsay 1983 Edwin Duda, chairman 1981 WilliamM. Singer 1g82 Ad Hoc Committee Affirmative Action Procedures Conmittee to Select the Winner of the Cole Prize for 1g82 Avron Douglis 1982 Alice T. Schafer, 1g81 J. W. S. Cassels John T. Tate Richard K. Miller 1982 chairman Wolfgang M. Schmidt, chairman 453 INSTITUTES AND SYMPOSIA AMS-MAA Joint Meetings Committee William J. LeVeque, David P. Roselle chairman (ex officio) Alfred B. Willcox Summer Conferences Everett Pitcher James G. Glimm Donald S. Ornstein Julius Shaneson AMS-MAA-NAM Joint Committee on Graduate Programs at Robin Hartshorne Trad1t10nally Black lnst1tut1ons Kenneth Kunen R. 0. Wells, Jr., chairman Shmuel Winograd C. B. Bell (AMS) I. N. Herstein (MAA) R. B. Melrose Lipman 8ers (AMS) Frank A. James (NAM) R. Creighton Buck (MAA) Ted Sykes (NAM) Standing Committee AMS-MAA-NCTM-SIAM Committee on Women in Mathematics Pamela Cook-Ioannidis 1g82 Jacqueline C. Moss (MAA) 1981 Summer Institutes (Terms expire February 28) (SIAM) Katherine L. Pedersen 1982 Robert Gilmer 1g91 George C. Papanicolaou 1g93 Etta Z. Falconer (AMS) 1982 (NCTM) Morris W. Hirsch 1982 Wilfried Schmid 1982 Phyllis Fox (SIAM) 1983 Alice T. Schafer (AMS) 1983 Robert Osserman, chairman 1981 Stephen Wain9er 1983 Mary W. Gray (AMS), 1983 Joel E. Schneider (NCTM) 1982 chairman Barbara Searle (NCTM) 1982 I. N. Herstein (AMS) 1981 Gail A. Williams (MAA) 1g93 Ad Hoc Committees Edith H. Luchins (MAA) 1982 Cathleen S. Morawetz 1g91 1981 AMS-SIAM Summer Seminar on Fluid-Dynamical Problems in (SIAM) Astrophysics and Geophysics Victor Barcilon Norman Lebovitz, chairman AMS-MAA-SIAM Committee on Em lo Richard DiPrima Joseph Pedlosky expire on October 31 Peter Goldreich Alan Toomre Wilfred E. Barnes (MAA) 1981 Ervin Y. Rodin (SIAM), 1982 James Daniel (SIAM) 1983 chairman 1981 Summer Institute on Singularities Roger A. Horn (AMS) 1982 Donald C. Rung (AMS) 1984 Ph 111 p Church Peter Orlik, chairman Calvin T. Long (MAA) 1983 Alan Durfee Le Dung Trang Martin Golubitsky Philip Wagreich AMS-MAA-SIAM Joint Pro ects Committee for Mathematics (Terms expire on September 30 Felix E. Browder (AMS), 1981 Donald L. Krieder (MAA) 1981 chairman Gottfried E. Noether 1982 JOINT COMMITTEES C. Edmund Burgess (AMS) 1983 (MAA) AMS-IMS Committee on Translations from Russian and Other Wendell H. Fleming (AMS) 1982 John Nohe 1 (SlAM) 1983 Foreign Langua~es (Terms expire on September 30) Shirley A. Hill (MAA) 1983 Werner C. Rheinboldt 1982 Ronald G. Doug as (AMS), chairman 1982 Ettore F. Infante (SIAM) 1984 (SIAM) AMS Subcommittee Members Israel Berstein 1983 John B. Garnett 1982 AMS-MAA-SIAM Joint Administrative Committee Ronald G. Douglas, 1982 Jack K. Hale 1983 I. Edward Block (SIAM) Everett Pitcher (AMS) ,chairman chairman Victor Kac 1981 Leonard Gillman (MAA) Fred Stephen Roberts (SIAM) Eugene 8. Dynkin 1981 Nicholas 0. Kazarinoff 19B1 William J. LeVeque (AMS) David P. Roselle (MAA) David Ebin 1983 Boris Mityagin 1983 Franklin P. Peterson (AMS) Alfred B. Willcox (MAA) Solomon Feferman 1982 Melvyn Nathanson 1983 Frederick P. Gardiner 1982 Arthur H. Stone 1982 AMS-SIAM Committee on Applied Mathematics Roger Brockett 1g81 Sanjoy K. Hitter 1981 IMS Subcommittee Members John Dennis 1982 Alan Newell, chairman 1983 A. T. Bharucha-Reid Eugene Lukacs, chairman Norman Lebovitz 1982 George C. Papanicolaou 1983 Miklos Csorgo Lajos F. Takacs Eugene M. Klimko AMS-SIAM Committee on Mathematics in the Life Sciences Joel E. Cohen 1983 Robert M. Miura, chairman 1984 AMS-IMS-SIAM Ad Hoc Oversight Committee of the Evaluation Frank C. Hoppensteadt 1982 Garrett M. Odell 1983 Joseph B. Keller 1983 Charles S. Peskin 1983 ~~~:~c:~r NSF Postdoctoral Fellowships in the Mathematical Donald Ludwig 1982 ------1981 Ingram Olk in (IMS) Hans F. Weinberger (AMS), Robert M. May 1981 ------1984 Ivar Stakgold (SIAM) chairman AMS-MAA Arrangements Committee for the Pittsburgh Meeting, August 17-21, 1981 Elayne Arr1ngton-Idowu William J. LeVeque William A. Beck (ex officio) REPRESENTATIVES Mario Benedicty Richard A. Moore Frank T. Birtel (ex officio) Earle F. Myers Advisory Board of the National Translations Center of the John Jacob Burbea, chairman David P. Roselle (ex officio) Crerar Library Ralph P. Boas Barbara T. Faires Kathleen Ann Taylor James P. Fink Conference Board of the Mathematical Sciences Andrew M. Gleason 1981 Everett Pltcher 19B2 AMS-MAA Arrangements Committee for the Cincinnati Meeting Januarf 13-17, 1982 Frank. Birtel (ex officio) William J. LeVeque (ex officio) Section A of the American Association for the Advancement of S. Elwood Bohn Maita Levine Science (Term expires on January 8) Thomas J. Bruggeman H. David Lipsich --- Felix E. Browder 1983 Milton D. Cox Edward P. Merkes, chairman Robert M. Dieffenbach Raymond H. Rolwing Richard G. Laatsch David P. Roselle (ex officio) William J. Larkin III Stuart S. Antman 1g94

454 CLASSIFIED ADVERTISEMENTS

SUGGESTED USES for classified advertising are books or lecture notes for sale, books being sought, positions available, situations wanted, summer or semester exchange or rental of houses, mathematical typing services and special announcements of meetings.

THE RATE IS $3.50 per line. To calculdte the length of an ad assume that one line will accommodate 60 characters and spaces. The same ad run in seven conscc· utive issues is $21.00 per line. Ads will be typed in the AMS office and will be typed solid. If centering and spacing of line'i is requested, the charge will be. per line with the same rate for open space as for solid type.

DEADLINES arc listed on the inside front cover.

U.S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U.S. cannot be published unless they are accompanied by a statement th.u the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Details and specific wording may be found may be found on page 108 of the January 1981 Notices.

SITUATION WANTED advertisements are accepted under terms spelled out on page A-355 of the April1979 Notices. (Deadlines arc the same a) for other classi· fied advertisements.) SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rhode Island 02940. Individuals .re requested to pay in advance, in· stitutions are not required to do so.

POSITIONS AVAILABLE RESEARCH IN DISCRETE MATHEMATICS The MITRE Corporation HOUSTON BAPTIST UNIVERSITY has a faculty Applications are invited for several openings for members of vacancy for a Math/Computer Science person at the rank of the technical staff to perform research in the application of Assistant Professor or higher, commencing September, 1981. discrete mathematics to the solution of vitally important Applicants should have a Ph.D. in math/computer science problems associated with command, control, and communi­ and a strong commitment to Christian education. The ap­ cations. Successful candidates will participate in a corporate pointee will be expected to teach senior level computer sci­ independent research and development program of mathe­ ence courses and to aid in the development of a computer matical research. They will work in association with a science major. Rank and salary will depend on qualifications. talented engineering staff engaged in the design, develop­ Send resumes to: Jerry Gaultney, Associate Dean of the ment, and test of innovative signal processing techniques for College of Science and Health Professions, Houston Baptist Spread Spectrum Signal Coding, Error Control Coding, University, 7502 Fondren Road, Houston, Texas 77074. Digital Signal Processing, Distributed Data Processing and Secure Communication. Areas of interdisciplinary research DEPARTMENT OF MATHEMATICS include Complexity of Sequences and Key Distribution, OKLAHOMA STATE UNIVERSITY Complexity of Algorithms and Computation, Fault Tolerant STILLWATER, OKLAHOMA 74078 Hardware and Software, Adaptive Systems, System Test­ ability, Stochastic Estimation and Control. Position: Head of the Department of Mathematics Qualifications sought include proven research ability and The Department invites applications for a Department Head demonstrated accomplishment in a field of discrete mathe­ starting January, 1982. Rank and salary are dependent on matics including: graph theory, finite geometry, combina­ qualifications. A Ph.D. in Mathematics is required. For full torics, number theory, algebraic structures and systems. A consideration send resume and three letters of reference to Ph.D. in mathematics or equivalent is required. Search Committee (c/o the address above) by September 15, 1981. Applicants should include a resume, a synopsis of research interests and accomplishments, and a summary of publica­ Oklahoma State University is an Affirmative Action/Equal tions. Submit applications directly to: R. D. Haggarty, Dept. Opportunity Employer. Head, Signal Processing and Electronic Warfare Department, The MITRE Corporation, Bedford, MA 01730. U.S. Citizen­ ship or resident alien registration required. MITRE is an UNIVERSITY OF MINNESOTA, MINNEAPOLIS equal opportunity employer actively seeking applications Applications are invited for the joint tenured position of under its affirmative action program. Full Professor in the Department of Aerospace Engineering and Mechanics and in the School of Mathematics. Qualifica­ tions: senior individual in research and teaching in the SITUATIONS WANTED mathematical theories of continuum mechanics with a record of significant contributions in areas such as nonlinear Situations wanted advertisements should be submitted elasticity, non-Newtonian fluid mechanics and liquid crystal on forms available from the Providence office of the Society. theory. An interest in molecular theory of matter and its For special provisions concerning these advertisements, see relation to constitutive theories of continua is very desirable. page A-355 of the April 1979 Notices. The candidate should be at the highest level of professional accomplishments and distinction. Curriculum vitae and a TEACHING/RESEARCH. Discrete mathematics, algebra. list of references should be sent to: Ph.D., 1974. Eight publications, four in progress. Six years' Professor P. R. Seth na teaching. Research grants, computing experience. Robert Department of Aerospace Engineering and Mechanics Feinberg, 372 Bath Ave., Apt. 46, Long Branch, New Jersey 1 07 Akerman Hall 07740, phone 201-229-1261. 110 Union Street S. E. Minneapolis, MN 55455 Position available beginning winter or spring 1982. Applica­ FREE tions due before August 31, 1981. The University of Minnesota is an equal opportunity educator and employer The 1981-1982 AMS Catalogue of Publications, a catalogue and specifically invites and encourages applications from of AMS books and journals, is being printed this summer. women and minorities. Copies will be sent to libraries and book agents throughout the world. Others interested in receiving a copy may obtain one by requesting it from the Providence office of the Society, P. 0. Box 6248, Providence, Rl 02940, Attn. E. Nordman.

455 FOR SALE

ISTITUTO NAZIONALE An Outstanding Mathematics 01 AlTA MATEMATICA FRANCESCO SEVERI Journal from North-Holland. ROME- ITALY Recent publications: Free boundary problems JOURNAL OF Proceedings of a seminar held in Pavia September-October 1979 by: S. Albertoni, H. W. Alt, A. Ambrosetti, L. Amerio, I. Athanasopoulos, C. Baiocchi, J. INTEGRAL Bear, M. Biroli, P. Boieri, C. M. Brauner, H. Brezis, M. Bulgarelli, L. A. Caffarelli, J. R. Cannon, A. Capelo, G. Capriz, V. Casulli, J. Cea, M. Chipot, G. Cimatti, L. Citrini, EQUAnOMS L. Collatz, V. Comincioli, B. Coppi, P. Cortey-Dumont, C. W. Cryer, B. D'Acunto, A. Damlamian, E. De Giorgi, A.T. Bharucha·Reid, Department of Mathematics, A. S. Demidov, E. Di Benedetto, J. Douglas, G. Duvaut, Wayne State University, Detroit, Michigan; A. Fasano, A. Franchi, J. Frehse, A. Friedman, F. Gastaldi, M.Z. Nashed, Department of G. Geymonat, G. Gilardi, B. Glowinski, L. Guerri, C. Mathematics, Guillope, W. Hager, G. D. lanculescu, R. Jensen, S. Kamin, University of Delaware, Newark, editors J. L. Lions, P. L. Lions, G. Maier, U. Maione, G. Meyer, This is the only journal entirely devoted to integral J. C. Miellou, M. Miranda, U. Mosco, B. Nicolaenko, J. A. equations. It is widely used by mathematicians. Nitsche, J. R. Ockendon, G. A. Pozzi, M. Primicerio, G. educators. scientists. Prouse, J. W. Rogers, L. I. Rubinstein, G. Sacchi, A. Taroni, engineers and other professionals R. Temam, F. Tamarelli, A. Torelli, B. Turkington, P. who must keep abreast of the latest Villaggio, A. Visintin. developments in the field. Journal Two volumes: 523 + 606 pages, $70. of Integral Equations publishes high-quality research papers on theory. applications. and Orders must be prepaid and should be addressed to: numerical methods by renowned international lstituto Nazionale di Alta Matematica Francesco Severi contributors. Topics emphasized include: P. le Aldo Moro, 5 • deterministic theories of linear and nonlinear Citta Universitaria integral equations 00185 ROMA, ltalia • numerical analysis and approximation methods • applications of integral equations in science and Synthesize "• ex, c, G ... constant processes. Write: THE technology. CONSTANT SOCIETY, P.O. Box 5513, Seattle, WA 98105. Plus-survey articles presenting recent advances in the field. 1981 Subscription Information Volume 3 (4 issues): $78.00 BOUNDARY VALUE PROBLEMS Subscribe today, or send for your free sample copy­ FOR ELLIPTIC Use the handy coupon below! PSEUDODIFFERENTIAL EQUATIONS by G. /. Eskin, translated by 5. F. Smith Order Form-JOURNAL OF INTEGRAL EQUATIONS D Please The English edition differs from the Russian in send a free sample copy. D Enter my subscription to Volume that an Introduction and three new sections ( §§ 25- 3 (4 issues). 1981 at $78.00. 27) have been added. Moreover, various corrections, Subscribers outside the U.S. should add: $5.00 tor improvements and remarks have been made by the surface mail; $12.00 for air mail to Europe and author throughout the book, especially in Chapter 6. Canada; and $16.00for air mail to the restoftheworld. CONTENTS Enclosed is my: 1. Generalized functions and the Fourier transform 2. Boundary value problems for an elliptic pseudo­ ___personal check ___bank draft differential operator in a halfspace ___Please bill me for the net cost plus postage and 3. Smoothness of solutions of pseudodifferential handling. equations Please charge to ____American Express __VISA 4. Systems of elliptic pseudodifferential equations __Master Card (Issuing bank # ) in a halfspace Account# ______Valid through ___ 5. Pseudodifferential operators with variable symbols 6. Boundary value problems for elliptic pseudo­ Signature Name ______differential operators in a bounded domain with _ smooth boundary Address ------7. Applications Volume 52, xii + 376 pages (hard cover) Return to: List price $68.00, institutional member $51.00, Journals Fulfillment Dept. individual member $34.00 Elsevier North Holland. Inc. ISBN 0-8218·4503-9; LC 80·39789 52 Vanderbilt Avenue Publication date: May 1981 New York, NY 10017 To order, please specify MMON0/52N Prepayment is required. Send to AMS, Elsevier North Holland P.O. Box 1571, Annex Station, Providence, Rl 02901

4S6 EMPLOYMENT INFORMATION IN THE MATHEMATICAL SCIENCES SUBSCRIPTION FORM FOR INSTITUTIONAL SUBSCRIBERS The American Mathematical Society and the Mathematical Association of America publish Employment Information in the Mathematical Sciences seven times each academic year. Six issues (November, January, March, May, July, and August) are devoted to listings of open positions. In addition, in 1981, a subscription to ElMS includes a special issue (December) prepared for the convenience of employers who participate in the Employment Register at the January meeting; It contains resumes of job applicants. On preprinted forms mailed every other month, department heads are asked to provide information (by a specified deadline) on open positions, or to state that there are none. The announcement that no positions are open may relieve the department of the obligation to answer letters from applicants, thus decreasing the burden of correspondence. Each issue contains descriptions of open positions in academic departments in the U.S. and Canada, a list of academic departments without positions, a list of academic departments not responding, descriptions of government, industrial and other nonacademic positions in the U.S. and Canada, as well as descriptions of positions available in foreign countries. The following resolution was passed on October 25, 1974, by the Council of the American Mathematical Society: "The Council of the AMS adopts the principles that all positions in the mathematical sciences shall insofar as practicable be advertised, and that the standard place for the advertisements to appear is the publication Employment Information." A similar resolution was subsequently approved by the Board of Governors of the Mathematical Association of America.

Institutions may enter subscriptions at any time during the subscription year; the subscription will expire after seven issues. The chart below gives the deadlines for receipt of orders.

Subocriptiono Subocriptiono Deadline for looue beginning witb expire wltb receipt of orden mailed

November 1981 Auguat 1982 October 15, 1981 November 4, 1981 December 1981 November 1982 November 15, 1981 December 31, 1981 January 1982 December 1982 December 15, 1981 January 8, 1982 March 1982 January 1983 February 15, 1982 March 4, 1982 May 1982 March 1983 April 15, 1982 May 3, 1982 July 1982 May 1983 June 15, 1982 July 6, 1982 Auguat 1982 July 1983 July 15, 1982 Auguat 2, 1982 Issues are sent by first class mail to subscribers in the United States, Canada and Mexico. Issues are sent by air mail to other countries.

Check one: FffiST CLASS AmMAn.. U.S., Canada, Mexico Foreign U.S. universities with the 27 highest ranked departments of mathematics (See page 325, August 1978 Notices.) s 110.00 Other universities in the U.S. or Canada offering doctoral degrees in the mathematical sciences 90.00 Other colleges and universities in the U.S. or Canada, non-academic and foreign institutions 80.00 92.00 Prepayment is required. Make checks payable to the American Mathematical Society and mail to P.O. Box 1571, Annex Station, Providence, Rhode Island 02901.

Ordered by: Ship to:

INSTITUTION TITLE/DEPARTMENT ADDRESS CITY STATE/PROVINCE ZIP/CODE

Order Amount Dare, ______oubmitred by______enclosed S ------

457 EMPLOYMENT INFORMATION IN THE MATHEMATICAL SCIENCES SUBSCRIPTION FORM FOR INDIVIDUAL SUBSCRIBERS The American Mathematical Society and the Mathematical Association of America publish Employment Information in the Mathematical Sciences seven times each academic year. Six issues (November, January, March, May, July, and August) are devoted to listings of open positions. In addition, in 1981, a subscription to ElMS includes a special issue (December) prepared for the Employment Register at the January meeting; it contains resumes of job applicants. On preprinted forms mailed every other month, department heads are asked to provide information (by a specified deadline) on open positions, or to state that there are none. A statement that no positions are available may relieve the department of the obligation to answer letters from applicants, thus decreasing the burden of correspondence. Each issue contains descriptions of open positions in academic departments in the U.S. and Canada, a list of academic departments without positions, a list of academic departments not responding, descriptions of government, industrial and other nonacademic positions in the U.S. and Canada, as well as descriptions of positions available in foreign countries. The following resolution was passed on October 25, 1974 by the Council of the American Mathematical Society: "The Council of the AMS adopts the principles that all positions in the mathematical sciences shall insofar as practicable be advertised, and that the standard place for the advertisements to appear is the publication Employment Information." A similar resolution was subsequently approved by the Board of Governors of the Mathematical Association of America.

Seven issues are published during the academic year, beginning with the November issue. Subscription rates are prorated for late orders. Single copies are not available except for the final issue, and back issues are not available. The chart below gives complete information on individual subscription rates. Issues are sent by first class mail to subscribers in the United States, Canada, and Mexico. Issues are sent by airmail to other countries.

FIRST CLASS MAlL AIR MAlL U.S., Canada, Mexico Other Countries Beginning with Employed Special* Employed Special* Deadline for orders Issue mailed November 1981 S3if.liO Tf5.00 -----s42.0ii $ 21.00 October 15, 1981 November 4, 1981 January 1982 25.00 12.50 35.00 17.50 December 15, 1981 January 8, 1982 March 1982 20.00 10.00 28.00 14.00 February 15, 1982 March 4, 1982 May 1982 15.00 7.50 21.00 10.50 April 15, 1982 May 3, 1982 July 1982 10.00 5.00 14.00 7.00 June 15, 1982 July 6, 1982 August 1982 5.00 2.50 7.00 3.50 July 15, 1982 August 2, 1982

All individual orders expire with the August issue. Individuals who subscribe to ElMS before November 15 will receive a copy of the new December issue at no charge. Prepayment is required. Make checks payable to the American Mathematical Society and mail to P.O. Box 1571, Annex Station, Providence, Rhode Island 02901. Check one Amount Enclosed Individual rate, begin with issue ______$ ______Student/unemployed rate*, begin with issue ______

PLEASE PRINT Name ______Address. ______City ______State/Province______Zip/Code

*To qualify for this rate please complete one of the following statements: ( I I am currently unemployed and actively seeking employment. My unemployed status is not the result of voluntary resignation or retirement from my last position. I am not enrolled in a graduate study program.

( I OR, I am a full-time student enrolled in a program leading to the degree or diploma at------

(name-please print)

458 UNIVERSITY OF MARYLAND THE DEPARTMENT OF MATHEMATI.CS COLLEGE PARK, MD 20742 of the UNIVERSIDAD DE LOS ANDES DEPARTMENT OF MATHEMATICS Merida, Venezuela Tenure level positions anticipated; requires the services of able Mathemati­ to begin August 1982. Very substan­ cians who can enhance the knowledge and tial research record and the ability to research abilities of our working groups in provide scientific leadership is re­ the fields of: quired. To insure full consideration DIFFERENTIAL EQUATIONS send a curriculum vitae and the TOPOLOGY FUNCTIONAL ANALYSIS names of at least three references to PROBABILITY THEORY Professor W. E. Kirwan, Chairman, ALGEBRA by November 30, 1981. NUMERICAL ANALYSIS The University of Maryland is Some knowledge of Spanish is advanta­ geous. Send Curriculum Vitae to the an Equal Opportunity Affirmative above mentioned address. Action Employer.

TEXAS A&M UNIVERSITY DEAN COLLEGE OF SCIENCE School of Natural Sciences and Mathematics Texas A&M University, a land-grant and sea­ The University of Alabama in Birmingham grant institution, invites letters of application and Birmingham, Alabama nominations for the position of Dean of the Nominations and applications are invited for the College of Science. The position will become position of Dean. The School of Natural Sciences open on September 1, 1981. Texas A&M is a and Mathematics offers graduate and u ndergradu­ stat&-suppo"ed university with a full-time enroll­ ate programs in Biology, Chemistry, Physics, Com­ ment of 33,500 students. The College of Science puter Science, Mathematics, Earth Science and currently has 230 faculty, 1, 783 undergraduates Natural Science including the Ph.D. in the first and 467 graduate students in the Departments of three disciplines. A candidate for the position Biology, Chemistry, Mathematics, Physics and should have earned doctorate and relevant experi­ Institute of Statistics. The College also has a ence to qualify for tenured full Professor, together Cyclotron Institute. Funded research within the with appropriate administrative experience. Aca­ College Is approximately 11 million dollars for the demic experience should include significant under­ current year. graduate anc::f graduate teaching and a record of re­ Qualifications for the position include demon­ search accomplishments. Please send nominations strated academic and research leadership and and applications (including vitae) before 15 Sep­ administrative ability. Nominations, applications tember 1981 to: and support material will be accepted until Dr. John P. Anderson, Chairman sent to: October 1, 1981, and should be NS & M Dean Search Committee Dr. Clinton A. Phillips UAB Special Studies Dean of Faculties The University of Alabama in Birmingham Texas A&M University University Station College Station, Texas 77843 Birmingham, Alabama 35294 Texas A&M is an equal opportunity, affirmative Telephone (205) 934-3295 action employer. An Equal Opportunity /Affirmative Action Employer

459 151/15TP(,D '(Index to Scientific & Technical Proceedings & Books) ISI!ISTP&B solves the difficult problem of locat­ ing articles published in proceedings and multi­ authored books. The only multidisciplinary online data base to scientific proceedings and books. it will cover over 10.000 proceedings (from books and journals) which appear in the printed Index to Scientific & Technical Proceedings ',plus over 2.000 books (including annual review series). And all items will be indexed at the chapter level. Pub­ lications from 1978 to the present will be covered. and each month the items from 300 new pro­ ceedings and books will be added. ISI!ISTP&B may be searched by article title: au­ thor/editor: author's corporate affiliation: confer­ ence title, location. date: sponsor: book and se­ ries title; journal title; publisher; and subject-to name a few. Covering virtually every scientific and technical discipline. ISI!ISTP&B will make your retrospective and current awareness searching. bibliographic verifications. and acquisitions fast. easy, and comprehensive. 151/CompuMath "' ISI!CompuMath provides access to the core lit­ erature in the fields of mathematics. statistics. computer science. and operations research. Nearly 300 journals and multi-authored books will be covered from 1976 to the present. The user-friendly ISI!CompuMath system will provide users with a unique new search capability-research front spe­ cialties. Research front specialty searching per­ mits you to enter a code number (found in the the­ saurus) for a highly specific research front. and you'll receive a bibliography of relevant articles which cite the core papers of the specialty. And ISI!CompuMath is only a part of a compre­ hensive package of information services for these disciplines. Also included in the ISilCompu­ Math subscription are a monthly current aware­ ness edition of Current Contents' which repro­ duces tables of contents from recently-published journals and books: and an annual index featuring author. subject. and citation indexes. For more information about these unique new lSI data bases. simply complete the coupon and mail it today.

Please------send me your FREE brochure(s) describing: LJ ISit/STP&B'" l I ISI!CompuMath'"

NAMl TITLE

ORGANIZATION Dl P T

ADDRESS

CITY SlATl PROVINCE COUNTHY

ZIP POSTAL COD! PHONE 204-2593 CI~CI· o~o Institute for Scientific Information• 3501 Market Street, University Ctty Science Center, Philadelphta, Pennsylvania 19104 U.S.A. T!!lephorw. (215) 386·0100

460 from D. Reidel Publishing Company ~ Boston I Dordrccht: Holland I London A Kluwer Company

recently published . . NUMERICAL METHODS FOR FIXED POINT THEORY: STIFF EQUATIONS AND An Introduction SINGULAR PERTURBATION Vasile I. lstratescu PROBLEMS Mathematics and Its Applications 7 Willard L. Miranker The topics covered in this book range from standard Mathematics and Its Applications 5 results, such as Principle of Contraction Mapping, and develops numerical Brouwer's and Shauder's Fixed Point Theorems, to the This new book collects computer solutions of stiff frontier of what is known. methods and concepts for differential equations and differential equations of ISBN 90·277-1224·7 singular pertubation type into an organized body for 1981 457 pp. $71.00 the first time. Applications and the results of computational experiments performed with these UNIVERSAL ALBEGRA, methods are also included. Revised Edition ISBN 90-277-1107-0 Paul M. Cohn 1980 196 pp. $29.95 Mathematics and Its Applications 6 A thorough revision of the original work, this edition SOLVABILITY OF NONLINEAR includes four new chapters on applications of universal EQUATIONS AND BOUNDARY algebra along with up-to-date references, indexes and bibliography. VALUE PROBLEMS ISBN 90·2 77 ·1213·1 Cloth Svatopluk Fucik 1981 380 pp. $44.50 Mathematics and Its Applications 4 ISBN 90-277-1254·9 Paper This monograph is a thorough account of the current 1981 380 pp. $19.50 state-of-the-an in the study of the range of semi-linear operator equations and of applications to noncoercive boundary value problems. ISBN 90-277-1077-5 1981 390 pp. $29.95 ------also of interest: ADVANCED COMBINATORICS VARIATIONAL METHODS IN L Comtet MATHEMATICS, SCIENCE AND ISBN 90-277-0380·9 Cloth ENGINEERING 2nd edition 1974 343 pp. $60.55 Karel Rektorys ISBN 90·2 77 ·0441·4 Paper 1974 343 pp. $34.25 ISBN 90-277-1060·0 1980 571 pp. $34.20 COMBINATORIAL COMPLEXES Peter H. Sellers Mathematics and Its Applications 2 Please use ISBN when ordering these D. Reidel books­ ISBN 90·277-1000·7 from your bookseller, or direct from our North American 1979 184 p~ $18.95 distribution center:

~ Telephone: Kluwer Boston, Inc. (61 7) 749-5262 190 Old Derby St., Hingham, MA 02043 '' 461 Optimal Control of Distributed An Outline of Projective Geometry Parameter Systems by Lynn E. Garner, Brigham Young University by N.U. Ahmed, Department of Electrical Engineering, Univer· An introduction to classical projective geometry sity of Ottawa, Ontario, Canada; and K.L. Teo, University of from a modern viewpoint. Designed for junior, senior, New South Wales, Kensington, New South Wales, Australia and beginning graduate level mathematics and Presents the latest advances in the area of optimal mathematics education majors who have a knowledge control of: distributed parameter systems with control of analytic geometry, linear algebra, and introductory appearing in the systems coefficients; linear and modern abstract algebra. While giving primary nonlinear hyperbolic systems; general linear evolution attention to Desarguesian and Pappian planes and equations based on semigroup theory; and nonlinear their coordinate systems, perspectivities, projectivities evolution equations on Banach space. Of special and collineations are discusseq in detail from a interest to graduate students in mathematics, physical functional viewpoint. and engineering sciences, research scientists 1981 240 pp. 0·444-00423·8 $29.50 interested in the applications of optimization theory involving distributed parameter systems, and control Polylogarithms and Associated theorists. Functions 1981 448 pp. 0·444-00559·5 $75.00 by L. Lewin, Department of Electrical Engineering, University of Colorado, Boulder Principles of Real Analysis A comprehensive account of poly logarithm by C.O. Aliprantis and 0. Burkinshaw, both at the properties and associated functions, including the Department of Mathematics, Indiana University-Purdue derivations of numerous function properties and their University, Indianapolis, Indiana use in current research. Provides an in-depth A major new textbook in real analysis for senior examination of the third-order function; Laplace and undergraduate and first year graduate courses, trigonometric integrals; polylogarithms of non-integral including a highly practical synthesis of the "Daniell orders; Coxeter's analysis; and extensive treatment of method" and the measure-theoretical approach, and a the dilogarithm with its real and imaginary parts, new approach to measure theory that simplifies including the inverse-tangent integral and Clausen's product measures and Fubini theorem. Coverage log-sine integral. Applications include non-Euclidean includes Banach lattices and Lp spaces, metric geometry, waveguide analysis, quantum spaces, measure theory, continuous function, the electrodynamics and number theory. Riesz representation theorem, differentiation, and 1981 432 pp. 0-444·00550·1 $54.95 continuous function. 1980 288pp. 0·444-00448·3 $27.95 Probability Distributions on Linear Distributed outside U.S. and Canada by Edward Arnold Spaces Ltd. Publishers, London, England by N.N. Vakhanla, Tbilisi State University, Director, Computing Center Academy of Sciences of the Georgian Large ,Scale Matrix Problems S.S.R., U.S.S.R. edited by Ake Bjorck, Linkoping University, Sweden; Robert (North Holland Series in Probability and Applied J. Plemmons, University of Tennessee, and Hans Mathematics) Schneider, University of Wisconsin at Madison The first systematic and clearly written introduction Highlights the latest advances occurring in large to the theory of probability distributions on linear scale matrix problems, with an emphasis on spaces, useful as a reference and text for graduate· applications. It is divided into four sections: Least level courses. Offers results on probability Squares and Applications, Systems of Linear distributions on linear spaces in connection with Equations and Applications, Eigen-value Problems, research on random equations for probabilists, and Optimization Problems. Among the topics covered functional analysts, measure theorists, and are the least squares fitting of multivariate data by statisticians. splines; the computation of stationary distribution 1981 approx. 135 pp. 0·444·00577·3 $34.95 vectors of infinite Markov decision chains; the computation of eigenelements of large symmetric and unsymmetric matrices. d • 1980 404pp. 0-444-00563-3$39.95 (Vol. 34 of Linear Algebra and Its Applications) 0 utstan lng New Mathematics Books from North-Holland p••••ORDER FORM •••••••••••••••••••.. Payment I I Order from: Elsevier North Holland, Inc. Enclosed is my: 52 Vanderbilt Avenue ~~~personal check ~~~bank draft 1 I New York, N.Y. 10017 ~~~UNESCO Coupons in the amount of--,--~- Outside the us and Canada send orders to: ~~~ Please bill me for the net cost plus postage 1 1 North Holland Publishing Co. and handling. I ~0~ AB~~~~ierdam For North American Customers Only: I The Netherlands Please charge to: I I 1wish to purchase: ~~~American Express VISA copy(ies) of Optimal Control of Distributed ~~~ Master Card (issuing bank no.~~~) 1 I Parameter Systems, Ahmed/Teo, Cloth: $75.00 Account No. copy(ies) of Principles of Real Analysis, Alipran· Valt"d through______I I Us/Burkinshaw, Cloth: $27.95 copy(ies) of Large Scale Matrix Problems, Bjorck, I I Plemmons, and Schneider, eds., Cloth: $39.95 copy(ies) of An Outline of Projective Geometry, Signature I I Garner, Cloth: $29.50 Name copy(ies) of Polylogarithms and Associated Address 1 I Functions, Lewm, Cloth: $54.95 copy(ies) of Probability Distributions on Linear I I Spaces, N.H. Vakhania. Cloth: $34.95 L ------Prices sub;ect to change without notice. Prices slightly higher outside North America. Printed in U.S.A. 6/81 LL446 .I New... frorn WileY.·Interscience METHODS OF REPRESENTATION FUNCTION THEORY OF SEVERAL THEORY: With Applications to COMPLEX VARIABLES Finite Groups and Orders Steven G. Krantz Charles W. Curtis & Irving Reiner First book to address the interplay between Surveys current research, methods, and appli­ several complex variables and harmonic cations of classical, modular, and integral analysis, partial differential equations, and theory. (Wi/ey-lnterscience Pure and Applied functional analysis. Suitable for textbook use, Mathematics Series.) this volume emphasizes potential theory, approx. 912 pp. (1-18994-4) pseudoconvexity, and the geometry of the Levi August 1981 $55.00 form, while de-emphasizing traditional algebraic aspects. INTRODUCTION TO THE THEORY approx. 512 pp. (1-09324-6) OF ERROR-CORRECTING CODES October 1981 $39.95 (tent.) Vera Pless A guide to solving the practical questions in the HANDBOOK OF APPLICABLE transmission or storage of digital information MATHEMATICS through their transformation into problems in Vol. 3: Numerical Methods error-correcting codes. (Wi/ey-lnterscience Edited by Walter Ledermann Series in Discrete Mathematics). The third of six core volumes of this compre­ approx. 256 pp. (1-08684-3) hensive Handbook designed to meet the needs November 1981 $24.95 (tent.) of professionals in all disciplines. Methods FACTORIAL DESIGN covered in Volume 3 include linear and non­ B. L Raktoe. A. Hedayat & W. T. Federer linear equations, matrix computations, and ordinary and partial differential equations. A cohesive, logically developed treatment of all approx. 592 pp. (1-27947-1) concepts of the theory of factorial design. October 1981 $85.00 approx 240 pp. (1-09040-9) September 1981 $29.95 NUMERICAL METHODS FOR PRACTICAL METHODS OF ENGINEERING APPLICATION OPTIMIZATION Joel H. Ferziger Vol. 2: Constrained Optimization This guide to the numerical (versus computer) R. Fletcher methods of solving equations uses an intuitive approach, stressing what one should look for in Presents the most reliable and efficient a numerical method and how one should methods for solving real life finite dimensional choose a method. optimization problems with constraints of a approx. 416 pp. (1-06336-3) continuous nature. July 1981 $36.00 (tent.) qpprox. 224 pp. (1-278289) November 1981 $32.50 (tent.) A GRAMMAR OF ENGLISH ON THE THEORY AND APPLICATION MATHEMATICAL PRINCIPLES OF GRAPHS Zellig Harris (Proceedings of the Fourth International An original grammar of English in terms of a Conference on the Theory and mathematical theory of language based on a Applications of Graphs) partial ordering on the set of words and Gary Chartrand. Yousef Alavi. Donald mappings of the sentences that result. Goldsmith. Linda Lesniak-Foster. Don R. approx. 480 pp. (1-029580) Lick October 1981 $35.00 (tent.) A collection of articles covering tournaments, Ramsey theory, topological and Hamiltonian Order through your bookstore or write to graphs, colorings, connectivity and trees. Nat Bodian. Dept. 2-1157 approx. 512 pp. (1-08473-5) Toll Free Number For Book Orders Only July 1981 $25.00 (tent.) 800-526-5368. In New Jersey, call collect OPTIMALITY IN PARAMETRIC (201) 797-7809. SYSTEMS Order Code # 1157 Thomas L. Vincent & Walter J. Grantham WILEY-INTERSCIENCE A unified theoretical approach to parameter a division of John Wiley & Sons, Inc. optimization encompassing nonlinear static 605 Third Avenue and dynamic systems with multiple objectives. New York, N.Y. 10158 approx. 304 pp. (1-08307-0) In Canada: 22 Worcester Road, Rexdale, Ontario July 1981 $30.00 (tent.) Prices subject to change without notice. 092 0-2-1157

463 MATHEMATICAL REVIEWS SECTIONS ENJOY THE CONVENIENCE OF HAYING MATHEMATICAL REVIEWS AT YOUR DESK! Not the entire thing, of course, but the parts of it that interest you most. Mathematical Reviews has been divided into 37 affordable Section Sets for individual subscribers. Each month you can receive the Section Sets you have chosen with an author index. With your I une sets you will receive a semiannual author index (just as you would for M R) and in December an annual author and subject index (as with MR). Also available for 1982 Section subscribers are three-ring binders of sturdy quality in the familiar tangerine color of MR to hold your subscription. The binders have a two-inch spine and are adequate to hold 400 pages. Section Sets are divided into Class 1 and Class 2 according to the estimated number of pages per year. Set Sections Subjects DlA 00, 01 General, history, biography (Class 1) 018 03, 04 Logic, foundations, set theory (Class 1) DlC 0) Combinatorics (Class 1) D 2A 06, 08 Order, lattices, general systems (Class 2) D lD 10 Number theory (Class 1) D 28 12 Algebraic number theory, field theory, polynomials (Class 2) D 2C 13, 14 Commutative rings and algebras, algebraic geometry (Class 2) D 2D 15 Linear and multilinear algebra, matrix theory (Class 2) D 2E 16, 17 Associative/nonassociative rings, algebras (Class 2) D lE 18,55,57 Category theory, algebraic topology, manifolds (Class 1) D lF 20 Group theory, generalizations (Class 1) D 2F 22 Topological groups, Lie groups (Class 2) D 2G 26, 28 Real functions, measure, integration (Class 2) DlG 30, 31, 32, 33 Complex analysis, potential theory, special functions (Class 1) DlH 34 Ordinary differential equations (Class 1) D 11 35 Partial differential equations (Class 1) D 2H 39,40,41 Finite differences, sequences, approximations (Class 2) D 21 42, 43,44,45 Harmonic analysis, integral transforms/equations (Class 2) D 1) 46 Functional analysis (Class 1) DlK 47 Operator theory (Class 1) D 2) 49 Calcu!J:> of variations, optimization (Class 2) D 2K 51, 52 Geometry, convex sets (Class 2) D ll 53 Diaerential geometry (Class 1) D 2L 54 General topology (Class 2) 55, 57 See 1 E (18, 55, 57) D 1M 58 Global analysis, analysis on manifolds (Class 1) D IN 60 Probability theory and stochastic processes (Class 1) D 1 p 62 Statistics (Class 1) D 10 65 Numerical analysis (Class 1) D lR 68 Computer science (including automata) (Class 1) D 2M 70, 73 Mechanics of particles, systems, solids (Class 2) D 2N 76, 78, 80 Fluid mechanics, optics, electromagnetics, thermodynamics (Class 2) D lS 81 Quantum mechanics (Class 1) D 2P 82, 83, 85, 86 Other physics, astronomy, astrophysics, geophysics (Class 2) DlT 90 Economics, operations research, programming, games (Class 1) D 2Q 92 Biology and behavioral sciences (C'ass 2) D lU 93 Systems theory; control (Class 1) DlV 94 Information and communication, circuits (CI•ss 1)

First Set Each Add 'I Set Optional Binder Class 1 Class 2 Class 1 Class 2 $5.00 each Individual member $36 $27 $30 $21 Reviewer 24 18 20 14

USE THIS PAGE OR A PHOTOCOPY TO ORDER. Date $ . enclosed for subscriptions selected and marked above. D $5.00 enclosed for 2" tangerine binder stamped MATHEMATICAL REVIEWS SECTIONS on spine and front cover. (It is not required that one buy a binder.)

$----~Total prepaid order. Ch·xk this box [] if you want your subscription 3-hole punched. If the box is not checked you will receive unbound, unpunched copy.

Name ----Your AMS code------~-

Address--·

AMERICAN MATHEMATICAL SOCIETY P.O. Box 1571, Annex Station, Providence, Rhode Island 02901 -=-=-=~ NORIIIIIOIINORTH-HOLLAND PUBLISHING COMPANY AND ANNOUNCES !~ 52 Vanderbilt Ave .. New York. N.Y 10017/ P.O. Box 211. 1000 AE Amsterdam. The Netherlands o::::i!!= E- ~ Combinatorics 79, subject. Its primary aim is to pro­ I vide the non-initiated student and Linear and Combina· = Parts I and II practitioner of mathematical anal­ torial Optimization in Proceedings of the Joint Canada­ ysis with an introduction to a new Ordered Algebraic I France Combinatorial Colloqui­ field. The volume should. how­ um. Montreal. 11-16 June. 1979 ever. also be of great interest to Structures the experts in the soliton theory. by U. ZIMMERMAN edited by M. DEZA and The theory is presented in a ma­ I. G. ROSENBERG thematically satisfactory way ANNALS OF DISCRETE MATHE­ ANNALS OF DISCRETE MATHE­ and the treatment is fully rigo­ MATICS. Vol. 10 MATICS. Volumes 8 and 9 rous. filling in many gaps in the 1981. x + 380 pages existing literature and presenting 1981. Part 1: xxii + 309 pages Price: US $61.00/011. 125.00 new insights into various aspects ISBN D-444-86153-X Part II: vii + 309 pages of the theory. Price: US $65.751011. 135.00 The object of this book is to pro­ per volume vide an account of results and ISBN Part 1: 0-444-86110-6 methods for linear and combina­ Part II: 0-444-86111-4 Mathematicians and torial optimization problems over Set : 0-444-86112-2 Their Times ordered algebraic structures. In linear optimization the set of fea­ It is a matter of general consen­ History of Mathematics and sible solutions is described by a sus that combinatorics has be­ Mathematics of History system of linear constraints; to a come one of the fastest growing large extent such linear charac­ by LAURENCE fields of mathematics. The per­ YOUNG terizations are know for the set of ception of combinatorics as a NORTH-HOLLAND MATHE­ feasible solutions in combina­ collection of odd and largely un­ MATICS STUDIES. Vol. 48 torial optimization, too. Minimiza­ related recreational problems is Notas de Matemcitica (76). tion of a linear objective function slowly disappearing. Combinato­ Editor: Leopoldo Nachbin subject to linear contraints is a rics is still in a developmental classical example which belongs 1981. x + 343 pages stage: it is. thus. imperative that to the class Price: US $36.501011. of problems consi· mathematicians and users of ma­ 75.00 dered. thematics interested in combina­ ISBN 0-444-86135-1 torics are periodically brought to­ This volume describes past ma­ Mechanics of gether to share their most recent thematicians as they appear to a results. mathematician today. Those prior Continuous Media This volume presents the materi­ to 1790 are discussed in the intro­ and Analysis of al featured at such a meeting. duction, a third of the book. The rest of the work covers the period Structures 1790 to 1945. Past mathemati· by ROGER VALID The Inverse cians are seen as real people, NORTH-HOLLAND SERIES IN Scattering Trans· who struggled as we all do. APPLIED MATHEMATICS AND against personal handicaps and MECHANICS, Vol. 26 formation and the against the prejudices and incomprehension of fellow men. 1981. xi + 356 pages Theory of Solitons Their example may help us in our Price: US $68.25/Dfl. 140.00 An Introduction turbulent times. Their work may ISBN D-444·86150-5 11ot now seem specially difficult, This work is different from the by WIKTOR ECKHAUS and nor was it always free of gross er­ classical treatise on the Analysis AART VAN HARTEN ror: its value lies in what it even­ of Structures because of the im­ NORTH-HOLLAND MATHE­ tually led to. It should be added portant part devoted to the lunda· MATICS STUDIES, Vol. 50 that "mathematician" is under­ mental aspects of the Mechanics stood in a wide sense, and that of 1981. xi Continuous Media. Starting + 224 pages Plato, Carnot, and Faraday Price: US are from the beginning of this disci· $31. 751011. 65.00 counted among the pioneers. ISBN 0-444-86166-1 pline and reaching a high scien­ The author also carefully treats tific le1el, the author maintains a The method of inverse scattering the interplay between mathemat­ tight link which connects the Me· transformation and the theory of ics and history; for instance, the chanics of Continuous Media to solitons are among the most re­ way in which certain historical the mathematical and numerical cent and fascinating achieve· events, and events in the history methods in Analysis of Struc· ments in the domain of applied of mathematics, result from a de­ tures. mathematics. The development pendence on the whole prior The problems of Mechanics are of the theory, which took place past, and not merely, as in phy· all approached through the varia· mainly in the last decade. has sics, on the immediate past. This tional method and in such a way been explosive and far-reaching. dependence is basic in what the that the reader is prepared at the This book provides an entirely author calls "the mathematics of onset for their discretization by self-contained exposition on the history". the Finite Element Method.

0777 NH ..---controversy The File. Case Study in Correction. (1977-1979) Serge Lang This is a file of letters and documents that evolved from The 1977 Survey of the American Professoriate, a survey directed by E.C.Ladd and S.M. Lipsett. The File represents a major public controversy that centered on the quality and use of the survey, especially its alleged misrepresentation of the pro· fessors surveyed. The text is made up of many original documents and articles that present a dramatic confrontation of points of view on a large number of in· tricately interconnected topics. But beyond any single issue The File is about making a "correction," a correction applied to many things, not only the survey. This close study of misinformation and confusion is applicable in many instances, 1981/700 pp./price to be announced ISBN 0-387-90607-X ...__fellowship Applications of Number Theory to Numerical Analysis Hua Loo-Keng and Wang Yuan Revised version of the original Chinese edition published by Science Press Beijing This volume marks the beginning of a cooperative venture between Springer­ Verlag and the Chinese publisher Science Press to make important results of Chinese mathematicians available to the international scientific community. The authors, who have made significant contributions to number theory, use a set of independent units of the cyclotomic field and the recurrence formula de­ fined by a Pisot-Vijayaraghavan number to describe methods. Includes error estimates and applications to numerical analysis and provides a table of good lattice point sets. The only prerequisite is a knowledge of elementary number theory. 1981/241 pp./Cioth $39.00 ISBN 0-387-10382-1 ______history C. F. Gauss A Biographical Study w. K. Buhler Here is a skillful and engaging blend of mathematics, politics, social history, and science. The author has written this biography with mathematicians and ~ scientists in mind, and not so much "the historian of science or the 0 LU 0 collecting the scalps of great men" (-from the introduction). It is N psychologist ~ g an insightful tribute to the life and mathematics of one of modern science's ~ VI ~ most prolific thinkers.1980/208 pp./9 lllus./Cioth $16.80 ISBN 0-387-10662-6 N ..J § < ct u OJ~ z i= u VI < c VI :E ~ LU ·;;:: -VI ::c :E 1- ~ < < OJ :E ~~ .______New books from Springer-Verlag------• ..c... z ...... \C To order, write Springer-Verlag New York Inc. Dept. S 3740 Q u< >< 44 Hartz Way Secaucus, NJ 07094 ~ ct c8 u LU If you haven't received our bimonthly catalog of new and past titles, New Math, write for a copy to ·;; Q :E 0 Springer-Verlag New York Inc., 175 Fifth Avenue, New York. NY 10010 z < c.: