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CALENDAR OF AMS MEETINGS

THIS CALENDAR lists all meetings which have been approved by the Council pnor to the date this issue of the Nouces was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of 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

778 June 20-21, 1980 Ellensburg, Washington APRIL 21 June 1980 779 August 18-22, 1980 Ann Arbor, Michigan JUNE 3 August 1980 (84th Summer Meeting) October 17-18, 1980 Storrs, Connecticut October 31-November 1, 1980 Kenosha, Wisconsin January 7-11, 1981 San Francisco, California (87th Annual Meeting) January 13-17, 1982 Cincinnati, Ohio (88th Annual Meeting)

Notices DEADLINES ISSUE NEWS ADVERTISING June 1980 April 18 April 29 August 1980 June 3 June 18

Deadlines for announcements intended for the Special Meetings section are the same as for News.

Other Events Sponsored by the Society

ANNOUNCEMENT APPEARS June 15-27, 1980 AMS-SIAM Summer Seminar on Mathematical Aspects of February Issue, p. 158 Physiology, University of Utah, Salt Lake City, Utah July 14-August 2, 1980 AMS Summer Institute on Operator Algebras and This Issue, p. 261 Applications, Queen's University, Kingston, Ontario, Canada Notices of the American Mathematical Society

Volume 27, Number 3, April 1980

EDITORIAL COMMITTEE Ed Dubinsky, Richard J. Griego, Robion C. Kirby, Arthur P. Mattuck, Susan Montgomery, Barbara L. Osofsky, Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst

ASSOCIATE EDITOR FOR QUERIES Hans Samelson

SUBSCRIPTION ORDERS Notices is published eight times a year (January, February, April, June, August, October, November, and December). Subscription for Vol. 27 230 MEETINGS OF THE SOCIETY (1980), $22.00 list, $11.00 member. The subscription price for members Bloomington, Indiana, April 11, 230 is included in the annual dues. Sub· Philadelphia, Pennsylvania, April 17, 241 scriptions and orders for AMS publi· Davis, California, April 25, 253 cations should be addressed to the Ellensburg, Washington, june 19, 260 American Mathematical Society, Summer Institute, Kingston, july 14, 261 P. 0. Box 1571, Annex Station, Providence, R.I. 02901. All orders Ann Arbor, August 18, 262 must be prepaid. Invited Speakers, 252; Special Sessions, 252

ADVERTISING & INQUIRIES 274 1980 AMS ELECTIONS (Nominations by Petition) The Notices publishes situations 278 QUERIES wanted and classified advertising, and display advertising for publishers 279 LETTERS TO THE EDITOR and academic or scientific organiza· tions. Requests for information: 282 NEWS & ANNOUNCEMENTS Advertising: Virginia Biber Change of address or subscriptions: 286 SPECIAL MEETINGS Rena Harty 291 NEW AMS PUBLICATIONS To avoid interruption in service please send address changes four to six 293 MISCELLANEOUS weeks in advance. It is essential New (Supplement), 293; to include the member code which appears on the address label with Personal Items, 294; Deaths, 294 all correspondence regarding 295 AMS REPORTS & COMMUNICATIONS subscriptions. Address correspondence to American Mathematical Society, Recent Appointments, 295; Reports of P. 0. Box 6248, Providence, Rl 02940. Meetings: San Antonio, 297; Officers of the Telephone 401·272·9500. Society 1979 and 1980, 299 Second class postage paid at 301 ADVERTISEMENTS Providence, Rl, and additional mailing offices. U.S. Postal Service 310 REGISTRATION FORMS Publication No. 398520. 1980 Summer Applicants List, 31 0; Copyright © 1980 by the American Mathematical Society, Ann Arbor Preregistration and Housing Printed in the of America. Reservation Forms, 311, 312 BLOOMINGTON, April 11-12, 1980, Indiana University Program for the 775th Meeting The seven hundred seventy-fifth meeting of the Minimal surfaces. JOHN E. BROTHERS and American Mathematical Society will be held at WILLIAM P. ZIEMER have arranged a special session Indiana University, Bloomington, Indiana, on Friday to be held all day Friday and Saturday. The speakers and Saturday, April 11-12, 1980. All of the scien­ will be Frederick J. Almgren, Jr., llya Bakelman, tific sessions will be held on the university campus. David E. Bindschadler, Luis A. Caffarelli, Robert M. The meeting will be preceded by a symposium Hardt, Frank Morgan, Johannes C. C. Nitsche, Michel on "The Mathematical Heritage of Henri Poincare," Pierre, Jon T. Pitts, Richard M. Shoen, Jean E. Taylor, to be held Monday through Thursday, April 7-1 0. and Neil S. Trudinger. The sessions on Monday morning will take place in DeRham homotopy. KUO-TSAI CHEN has the Frangipani Room, and Monday afternoon through arranged a special session to be held Friday afternoon Thursday the lectures will be presented in Whitten­ and Saturday morning. The speakers will be Bohumil berger Auditorium; both are located in the Indiana Cenkl, Victor K. A.M. Gugenheim, Richard M. Hain, Memorial Union on campus. Support is anticipated S. Halperin, Steven E. Hurder, Richard D. Porter, under a grant from the National Science Foundation. Ross E. Staffeldt, James D. Stasheff, and Georgia The topic for the symposium was selected by the Triantafillou. Committee to Select Hour Speakers for Western Sec­ Commutative harmonic analysis. COLIN C. tional Meetings, whose members are Paul T. Bateman, GRAHAM and L. THOMAS RAMSEY have arranged Melvin Hochster, Mark Mahowald, Karen K. Uhlenbeck, a special session to be held all day Friday and Satur­ and R. 0. Wells, Jr. (chairman). The Organizing Com­ day. The speakers will be John J. Benedetto, Ron mittee for the symposium, responsible for selecting C. Blei, John J. F. Fournier, Colin C. Graham, Robert the speakers and arranging the program, consists of P. Kaufman, Jean-Fran~ois Mela, Daniel M. Oberlin, (chairman), William Browder, Phillip Fran~ois Parreau, L. Thomas Ramsey, Daniel G. A. Griffiths, Jurgen K. Moser, , and Rider, Bert M. Schreiber, Richard C. Vrem, Benjamin R. 0. Wells, Jr. B. Wells, Gordon S. Woodward, and Misha Zafran. Invited Addresses Fixed point theory in algebraic topology. BENJAMIN R. HALPERN has arranged a special ses­ Also by invitation of the Committee to Select sion to be held all day Friday and Saturday. The Hour Speakers for Western Sectional Meetings, there speakers will be David G. Bourgin, Monica Clapp de will be four invited one-hour addresses on April 11 and 12. Prieto, Edward R. Fadell, Christian C. Fenske, Mark F. Feshbach, Gilles Fournier, Ross ROBERT M. FOSSUM, University of Illinois, Geoghegan, Benjamin R. Halpern, William Urbana-Champaign, 11:00 a.m., Friday, Invariant D. Homer, Sufian Y. theory, representation theory, and commutative Husseini, Jan W. Jaworowski, Richard P. Jerrard, algebra-menage atrois. Boju Jiang, Ronald J. Knill, S/awomir Kwasik, Minoru ROBERT GEROCH, University of Chicago, 1:45 Nakaoka, Roger D. Nussbaum, Jingyal Pak, Carlos p.m., Friday, Some open questions in general relativity. Prieto, Nancy E. Rallis, Simeon Reich, Billy E. PETER E. NEY, University of Wisconsin, Madi­ Rhoades, Helga H. Schirmer, Gen-Hua Shi, and son, 11 :00 a.m., Saturday, The regeneration method Friedrick Wille. for Markov chains. Diffusion and local time. FRANK B. KNIGHT JOEL A. SMOLLER, University of Michigan, has arranged a special session to be held Friday after­ Ann Arbor, 1 :45 p.m., Saturday, Stability and bifur­ noon and Saturday morning. The speakers will be cation of steady-state solutions for systems of reaction­ David Y. Burman, Donald Geman, J. Michael diffusion equations. Harrison, Yuji Kasahara, Frank B. Knight, Michael J. The two Friday talks will be held in Whittenberger Sharpe, and jon A. Wellner. Auditorium in the Indiana Memorial Union, while the Integral equations and their applications in scat­ two Saturday talks will be held in Room 119, Swain tering and diffraction theory, mathemqtical , Hall West. and nonlinear network theory. ALEXANDER G. RAMM has arranged a special session to be held Special Sessions Friday afternoon and all day Saturday. The speakers By invitation of the same committee, there will will be Melvyn S. Berger, Brian De Facio, Eugene be eight special sessions of selected twenty-minute Gutkin, Arthur K. jordan, Richard C. MacCamy, papers. Roger G. Newton, Alexander G; Ramm, Irwin W. Noncommutative ring theory. GORO AZUMA YA Sandberg, Michael E. Taylor, and Harold Widom. and DARRELL E. HAILE have arranged a special Lie algebras. MARIE j. WONENBURGER has session to be held all day Friday and Saturday morn­ arranged a special session to be held Saturday morn­ ing. The speakers will be Maurice Auslander, John A. ing and afternoon. The speakers will be Stephen Beachy, Victor P. Camillo, Frank R. DeMeyer, Berman, james W. Cannon, Alex J. Feingold, James vlastimil Dlab, Carl Faith, Patrick Halpin, Israel N. I. Lepowsky, and Robert Lee Wilson. Herstein, Yasuo lwanaga, Bodo Pareigis, David J. There will also be four sessions for contributed Saltman, Robert L. Snider, and Stuart A. Steinberg. papers.

230 Rooms 101, 1 06, 114, and 118 Swain Hall East Ramada Inn (1. 75 miles) will be available all day Friday and Saturday for 1710 Kinser Pike informal discussions. Telephone: 812-334-3252 Single $28 Twin $33.60 Meeting Council Travelodge (1.25 miles) The Council of the Society will meet at 5:00 2615 E. 3rd Street p.m. on Thursday, April 10, in the Forum Room at Telephone: 812-339-6191 the Ramada Inn. Single $21 Twin $28

Registration Food Service

The registration desk will be open from 8:00 Several types of food service are available at the a.m. until 4:00 p.m. Monday through Friday, and Indiana Memorial Union. In the Commons, deli are available from 8:30 a.m. until noon on Saturday. Contrary sandwiches, snacks, and fountain service The to information published in the February Notices, from 7:00 a.m. until 11:00 p.m. every day. dinner the desk will be located in the Conference Lounge Cafeteria is open for breakfast, lunch, and provides sit­ on the mezzanine floor in the Indiana Memorial seven days a week. The Tudor Room Union Monday through Friday, and on Saturday it down table service for luncheon and dinner Monday will be in Room 113 Swain Hall West. The registra­ through Friday; reservations are recommended for tion fees for the symposium and meeting are: lunch (telephone 337-1620), which is served from 11 :30 a.m. to 1 :30 p.m. The Garden Patch is open Symposium Only or Meeting for lunch only from 11 :00 a.m. to 1 :30 p.m. Mon­ Symposium and Meeting __2_l:1_!_y_ day through Friday, for soup, salad, and sandwiches. In addition, the Sugar 'n Spice has baked goods and Nonmember $15 $5 beverages, and candy may be bought in the Sweet ~mb~ 10 3 Shoppe. All may be reached from the mezzanine Student/ Unemployed 5 floor of the Union, except the Tudor Room which Inasmuch as the NSF has greatly limited the is on the first floor. amount of funds to be granted for support of the A list of local restaurants will be available at the Poincare symposium, and the Society thus faces a meeting registration desk. greater financial responsibility, it is necessary to in­ crease the symposium registration fees to help offset Parking some of the related expenses. Participants are there­ A parking lot is located adjacent to the Indiana fore requested to pay the appropriate fee which, al­ Memorial Union, where participants may park their though higher than usual, is helping to support an cars at a maximum cost of $2 per day. interesting and worthwhile program. Everyone's cooperation will be greatly appreciated. Travel Accommodations Bloomington is located 50 miles southwest of Indianapolis, at the intersection of State Routes 37 are being held for participants Blocks of rooms and 46. Direct airline service to Bloomington is via motels. Individuals should have at the following area Britt Airlines, the commuter carrier for USAir prior to the cut-off date made their own reservations (Allegheny), which provides service from Chicago's of March 24 (except Holiday Inn, which was March O'Hare Airport and from Indianapolis International 6). Rates listed do not include the 7 percent sales Airport. Participants are advised to book flights to tax, and are subject to possible change. The zip code Indianapolis and proceed to Bloomington from that for all locations is 4 7401. point rather than Chicago, since it isn't always pos­ sible to obtain seats on the small commuter planes Best Western Fireside Inn (2.5 miles) from the latter connecting point. 4501 E. 3rd Street Telephone: 812-332-2141 Please note that the mathematics department at Single $25 Twin $32 Indiana University is arranging to pick up participants at the Indianapolis International Airport, and return Holiday Inn (1.75 miles) them there for departure, at a cost of approximately Attention: jean Calvert $10 each way per passenger. This service will be State Road 37 North provided by reservation only. Participants who Telephone: 812-332-9453 wished to take advantage of this ground transporta­ Single $28 Twin $30 and $31 tion to and from Bloomington should have mailed the form included in the February issue of the Howard johnson's Motor Lodge (1.5 miles) Notices so it reached the I U mathematics department 1722 N. Walnut by March 17. Those who made transportation res­ Telephone: 812-332-7241 ervations will be advised by mail how to proceed Single $25 Twin $31 upon arrival at the Indianapolis International Airport.

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w w t-..l t-..l Participants choosing to fly directly to Blooming­ Indianapolis, while in Bloomington there are Avis, ton, however, will find taxis usually waiting to meet Hertz, National, and Thrifty rental services. Travel incoming flights; the one-way fare to the I U campus from Indianapolis to Bloomington is via State Route is about $5. 37 south. All major car rental agencies have service in

PROGRAM FOR THE SYMPOSIUM ON , THE MATHEMATICAL HERITAGE OF HENRI POINCARE Monday morning sessions will be held in the Frangipani Room; all other sessions will take place in Whittenberger Auditorium. Both are located in the Indiana Memorial Union. MONDAY 8:30- 9:30 G. Segal's Burnside ring conjecture. j. FRANK ADAMS, University of Cambridge, England 9:40-10:40 Poincare duality. WILLIAM BROWDER, 10:50-11 :50 Poincare and algebraic geometry. PHILLIP A. GRIFFITHS, Harvard University 1:30- 2:30 The meaning of Maslov's asymptotic method: The need of Planck's constant in mathematics. JEAN LERAY, College of France, 2:40- 3:40 Randomness in dynamical systems and ergodic theory. DONALD ORNSTEIN, 3:50- 4:50 Complexity, the fundamental theorem of algebra and the Bieberbach conjecture. STEPHEN SMALE, University of California, Berkeley TUESDAY 8:30- 9:30 A report on Teichmuller spaces. LIPMAN BERS, Columbia University 9:40-10:40 Web geometry. S. S. CHERN, University of California, Berkeley 10:50-11:50 Fragmental works of Riemann and Poincare on theta functions. j UN-ICHI IGUSA, johns Hopkins University 1:15- 2:15 Invariant sets for area-preserving diffeomorphisms of surfaces. JOHN MATHER, Princeton University 2:25- 3:25 Developments in the theory of space-time structure. ROGER PENROSE, University of Oxford, England 3:35- 4:35 The Poincare series and ergodic properties of infinite-volume discrete groups of hyperbolic motions. , lnstitut des Hautes Etudes Scientifiques, France 4:45- 5:45 Symplectic geometry and periodic orbits. ALAN WEINSTEIN, California Institute of Technology

WEDNESDAY 8:30- 9:30 Morse theory, old and new. , Harvard University 9:40-10:40 On the Poincare metric in several variables. CHARLES FEFFERMAN, Princeton University 10:50-11:50 Relativity and quantum mechanics. ARTHUR M. JAFFE, Harvard University 1:30- 2:30 Remarks on hyperbolic geometry. jOHN Ml LNOR, The Institute for Advanced Study 2:40- 3:40 Differentiable dynamical systems and the problem of turbulence. DAVID RUELLE, lnstitut des Hautes Etudes Scientifiques, France 3:50- 4:50 The geometry and topology of three-manifolds. WILLIAM THURSTON, Princeton University THURSDAY 8:30- 9:30 Fixed-point theorems and nonlinear problems. FELIX BROWDER, University of Chicago 9:40-10:40 Recurrence in ergodic theory and topological dynamics. HARRY FURSTENBERG, Hebrew University, Israel 10:50-11:50 Einstein metrics on complex manifolds. SHING-TUNG YAU, The Institute for Advanced Study 1:15- 2:15 Remarks on nonlinear partial differential equations. LOUIS N: RENBERG, University, Courant Institute of Mathematical Sciences 2:25- 3:25 Poincare and Lie groups. WILFRIED SCHMID, Harvard University 3:35- 4:35 The Cauchy-Riemann equations and differential geometry. R. 0. WELLS, JR., Rice University

233 PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions the time varies from session to session and within sessions. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the April 1980 issue of Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses following the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

FRIDAY, 8:00A.M. Special Session on Fixed-Point Theory in Algebraic Topology. I, Room 218, Swain Hall West 8:00- 8:20 ( 1) Some fixed-point theorems. Professor SEHIE PARK, Seoul National University, Korea, and Professor B. E. RHOADES*, Indiana University, Bloomington (775-G14) 8:30- 8:50 ( 2) Fixed points in Banach and locally convex spaces. Professor SIMEON REICH, Univer· sity of Southern California (775-B12) 9:00- 9:20 ( 3) The fixed point index and a priori estimates for positive solutions of semilinear elliptic equations. Dr. ROGER D. NUSSBAUM*, Rutgers University, New Brunswick, and Dr. P. L. LIONS and Dr. DjAIRO DE FIGUREIDO, Universite Pierre et Marie Curie, Paris, France (775-B14) 9:30- 9:50 ( 4) A new proof of the index-mod-p result. GILLES FOURNIER, Universite de Sherbrooke (775-G19) 10:00-10:20 ( 5) On the stability of non isolated closed leaves. Professor RONALD J. KNILL, Tulane University (775-G30) 10:30-10:50 ( 6) Fixed point theorems related to a conjecture of H. Hopf. Preliminary report. Dr. FRIED­ RICH WILLE, Gesamthochschule Kassel, Federal Republic of Germany (775-G17) (Introduced by Professor Benjamin R. Halpern)

FRIDAY, 8:00A.M. Session on Algebra and Number Theory, Room 215, Lindley Hall 8:00- 8:10 ( 7) A note on Buchsbaum rings and localization of graded domains. Dr. ULRICH DAEPP, Ohio State University, Columbus, and Dr. ALAN EVANS*, Michigan State University (775-A 1) 8:15- 8:25 ( 8} Divisor class groups of normal affine surfaces in A 3 over a field of characteristic p. JEFFREY LANG, Purdue University, West Lafayette (775-A4) 8:30- 8:40 ( 9) Arithmetic progressions contained in sequences with bounded gaps. Professor MELVYN B. NATHANSON, Southern Illinois University, Carbondale (775-A 16)

FRIDAY, 9:00A.M. Special Session on Non-Commutative Ring Theory. I, Room 215, Lindley Hall 9:00- 9:20 (1 0) Generalizations of invariant factor decomposition of finite abelian groups. Professor MAURICE AUSLANDER*, Brandeis University, and Dr. SVERRE 0. SMAL, NIHT Trondheim, Norway (775-A21) 9:30- 9:50 (11) The preprojective algebra of a modulated graph. Professor V. DLAB*, Carleton Univer­ sity, and Professor C. M. RINGEL, Universitiit Bielefeld, Federal Republic of Germany (775-A 19) 10:00-10:20 (12) The Poincare series of the ring of 2 x 2 generic matrices. Professor EDWARD FOR­ MANEK, PATRICK HALPIN*, and Professor WEN-CH'ING WINNIE Ll, Pennsylvania State University, University Park (77 5-A 7) 10:30-10:50 (13) Rings with finite self-injective dimension. Dr. YASUO IWANAGA, University of Tsukuba, Japan, and Carleton University (775-A 17) (Introduced by Professor Goro Azumaya)

FRIDAY, 9:00A.M. Special Session on Commutative Harmonic Analysis. I, Room 202, Lindley Hall 9:00- 9:20 (14) The minimal norm property of the Fourier projection. Preliminary report. Professor DANIEL RIDER, University of Wisconsin, Madison (775-B24) 9:30- 9:50 (15) Fourier-Stieltjes series of singular measures. ROBERT KAUFMAN, University of Illinois, Urbana (775-B16)

234 10:00-10:20 (16) Analytic and arithmetic properties of thin sets. Professor JOHN j. F. FOURNIER*, University of British Columbia, and Professor LOUIS PIGNO, Kansas State University (775-B11) 10:30-10:50 (17) Semigroups and L 1-closure for damped signals. Preliminary report. Professor JOHN J. BENEDETTO, University of Maryland, College Park (775-B1 5)

FRIDAY, 9:30A.M. Special Session on Minimal Surfaces, I, Room 116, Swain Hall East 9:30-10:00 (18) Classification of symmetries of area minimizing integral currents in s3 • Preliminary report. Dr. DAVID BINDSCHADLER, Wayne State University (775-B8) 10:10-10:40 (19) Parabolic variational inequalities and potential theory. Dr. MICHEL PIERRE, Mathe­ matics Research Center, Madison, Wisconsin, and University of Brest, France (Introduced by Professor William P. Ziemer) (77 5-B18)

FRIDAY, 11:00 A.M. Invited Address, Whittenberger Auditorium, Indiana Memorial Union 11:00-12:00 (20) Invariant theory, representation theory, commutative algebra-menage atrois. Professor ROBERT M. FOSSUM, University of Illinois, Urbana-Champaign (775-A 18) FRIDAY, 1:45 P. M. Invited Address, Whittenberger Auditorium, Indiana Memorial Union 1:45- 2:45 (21) Some open questions in general relativity. Professor ROBERT GEROCH, University of Chicago (775-06)

FRIDAY, 3:00 P. M. Special Session on Non-Commutative Ring Theory. II, Room 216, Lindley Hall 3:00- 3:20 (22) An action of the automorphism group of a commutative ring on its cohomology groups. Professor FRANK R. DeMEYER, Colorado State University (775-A 11) 3:30- 3:40 (23) Results on the structure of FPF rings. Professor CARL FAITH, Rutgers University, New Brunswick (775-A20) 4:00- 4:20 (24) Generic Galois extensions. Professor DAVID J. SALTMAN, (775-A10) 4:30- 4:50 (25) Solvable groups whose irreducible representations are finite dimensional. Dr. ROBERT L. SNIDER, Virginia Polytechnic Institute and State University (775-A6)

FRIDAY, 3:00P.M. Special Session on Minimal Surfaces. II, Room 116, Swain Hall East 3:00- 3:30 (26) Computing F-minimizing surfaces. Professor JEAN E. TAYLOR, Rutgers University, New Brunswick (775-B35) 3:40- 4:10 (27) Tangent cones at the boundary for area-minimizing hypersurfaces. Preliminary report. ROBERT M. HARDT, University of Minnesota, Minneapolis (775-D2) 4:20- 4:50 (28) Nonuniqueness for minimal surfaces. Professor FRANK MORGAN, Massachusetts Insti­ tute of Technology (77 5-01) 5:00- 5:30 (29) How to connect minimal surfaces by bridges. Preliminary report. F. J. ALMGREN, Jr.* and B. SOLOMON, Princeton University (775-B7)

FRIDAY, 3:00P.M. Special Session on Commutative Harmonic Analysis. II, Room 202, Lindley Hall 3:00- 3:20 (30) On the asymptotic behavior of Fourier-Stieltjes transforms. Professor j EAN-FRANC,:OIS MELA, Universite Paris-Nord, France (775-B31) (Introduced by Professor Colin C. Graham) 3:30- 3:50 (31) Group representations and infinitely divisible measures. Professor BERTRAM M. SCHREIBER, Wayne State University (775-B34) 4:00- 4:20 (32) The spectrum of an operator on an interpolation space. Professor MISHA ZAFRAN, Institute for Advanced Study (775-B22) 4:30- 4:50 (33) Generalized lacunary sets on compact hypergroups. Preliminary report. Dr. RICHARD C. VREM, Northwestern University (775-B25)

235 FRIDAY, 3:00P.M. Special Session on Integral Equations and Their Applications. I, Room 007, Swain Hall West 3:00- 3:20 (34) Generalizations of the Marchenko and Ge!'fand-Levitan equations to three dimensions. Professor ROGER G. NEWTON, Indiana University, Bloomington (775-B6) {Introduced by Professor A. G. Ramm) 3:30- 3:50 (35) The Gel'fand-Levitan integral equation for inverse scattering studies. Dr. B. De FACIO*, Iowa State University and Ames Laboratory-USDOE, Ames, Iowa, and Dr. HARRY E. MOSES, University of Lowell (775-Cl) 4:00- 4:20 (36) Recent progress in diffraction theory. Professor MICHAEL E. TAYLOR, Rice University (775-B3) 4:30- 4:50 (37) Completely integrable systems and groups generated by reflections. Professors EUGENE GUTKIN* and BILL SUTHERLAND, University of Utah (775-C4) 5:00- 5:20 (38) On the variations of profile functions obtained from electromagnetic inverse scattering. Preliminary report. Dr. ARTHUR K. JORDAN, Naval Research Laboratory, Washington, D. C. {775-B5) (Introduced by Professor A. G. Ramm)

FRIDAY, 3:00P.M. Special Session on Fixed-Point Theory in Algebraic Topology. II, Room 218, Swain Hall West 3:00- 3:20 (39) On the least number of fixed points for infinite complexes. Preliminary report. Professor GEN-HUA SHI, Scientific Research Institute of Water Conservancy and Hydro­ electric Power, Peking, China {775-G20) (Introduced by Professor Benjamin R. Halpern) 3:30- 3:50 (40) On the least number of fixed points. Professor BOJ U J lANG (PO..CHU CHIANG), Beijing University and University of California, Berkeley {775-G21) (Introduced by Professor Benjamin R. Halpern) 4:00- 4:20 (41) The minimum number of periodic points. Preliminary report. Professor BENJAMIN R. HALPERN, Indiana University, Bloomington (775-G8) 4:30- 4:50 (42) Periodic points on infranilmanifolds. Preliminary report. Professor MINORU NAKAOKA, Osaka University, Japan (775-G9) (Introduced by Professor Benjamin R. Halpern) 5:00- 5:20 (43) Homotopy idempotents which have essential fixed points. Professor ROSS GEOGHEGAN, State University of New York, Binghamton (775-G23) 5:30- 5:50 (44) Classification of spaces by fixed-point properties. Professor RICHARD P. J ERRARD, University of Illinois, Urbana-Champaign (775-G28)

FRIDAY, 3:00P.M. Special Session on deRham Homotopy. I, Room 220, Swain Hall West 3:00- 3:20 (45) Iterated integrals, minimal models and homotopy periods. Preliminary report. RICHARD M. HAIN, University of Illinois, Urbana-Champaign (775-G26) 3:30- 3:50 (46) A model for the loop space. V. K. A.M. GUGENHEIM, University of Illinois at Chicago Circle {775-G32) 4:00- 4:20 (47) Deformation theory and rational homotopy type. Preliminary report. MICHAEL SCHLESSINGER and JAMES STASHEFF*, University of North Carolina, Chapel Hill (775-Gl) 4:30- 4:50 (48) deRham homotopy and algebraic K-theory of spaces. Professor W. -C. HSIANG, Prince­ ton University, and Professor R. E. STAFFELDT*, Pennsylvania State University, University Park (775-G31) 5:00- 5:20 (49) Minimal model for the G-rational homotopy type. GEORGIA TRIANTAFILLOU, University of Chicago (775-G33)

FRIDAY, 3:00P.M. Special Session on Diffusion and Local Time. I, Room 203, Lindley Hall 3:00- 3:20 (50) A note on skew Brownian motion. Dr. J. MICHAEL HARRISON*, Stanford University, and Dr. L. A. SHEPP, Bell Laboratories, Murray Hill (775-F5) (Introduced by Professor Frank B. Knight) 3:30- 3:50 (51) Oscillating Brownian motion. JON A. WELLNER, (775-F4) 4:00- 4:20 (52) Two limit theorems for occupation times for Markov processes. Preliminary report. Dr. YUJI KASAHARA, University of Colorado, Boulder (775-Fll) {Introduced by Professor Frank B. Knight)

236 4:30- 4:50 (53) The approximate growth of Brownian motion and other processes. Preliminary report. Professor DONALD GEMAN, University of Massachusetts, Amherst (775-F7)

SATURDAY, 8:00A.M. Special Session on Fixed-Point Theory in Algebraic Topology. Ill, Room 218, Swain Hall West 8:00- 8:20 (54) Nielsen numbers and nonuniversal coverings. Professor HELGA SCHIRMER, Carleton University (775-G24) 8:30- 8:50 (55) On the Nielsen fixed-point theorem of a fiber-preserving map. Professor J INGYAL PAK, Wayne State University (775-G15) 9:00- 9:20 (56) Generalized local fixed-point index theory for nonsimply connected manifolds. Professors EDWARD FADELL* and SUFIAN HUSSEIN!, University of Wisconsin, Madison (775-G10) 9:30- 9:50 (57) Generalized Lefschetz numbers. Professor S. Y. HUSSEI Nl, University of Wisconsin, Madison (775-G7) 10:00-10:20 (58) Fixed points on homogeneous manifolds. Preliminary report. Professors WILLIAM HOMER* and HENRY GLOVER, Ohio State University, Columbus (775-G22) 10:30-10:50 (59) Coincidences and relations. D. G. BOURGIN, University of Houston, Houston (775-G11)

SATURDAY, 8:00A.M. Session on Topology and Geometry, Room 220, Swain Hall West 8:00- 8:10 (60) On the representation of homology classes by embeddings. Professor J.P. E. HODGSON, Adelphi University (775-G18) 8:15- 8:25 (61) On the category of Ljapunov stable semiflows. LUDVIK JANOS, Mississippi State University (77 5-G25) 8:30- 8:40 (62) Some special elements in U*(Zp). Dr. CHING-MU WU, University of West Florida and Tamkang College, Taiwan, Republic of China (775-G29) (introduced by Professor James R. Weaver) 8:45- 8:55 (63) Reduction of certain representations of semidirect products. Preliminary report. Profes­ sor THOMAS FARMER, Miami University, Oxford (775-G34)

SATURDAY, 8:30A.M. Special Session on Non-Commutative Ring Theory. Ill, Room 216, Lindley Hall 8:30- 8:50 (64) Injective modules over FBN rings. Professor JOHN A. BEACHY, Northern Illinois University (775-A13) 9:00- 9:20 (65) The fundamental theorem of projective geometry for rings. V. P. CAMILLO*, K. R. FULLER, and E. R. VOSS, University of Iowa (775-A5) 9:30- 9:50 (66) Invariant subrings. I. N. HERSTEIN, University of Chicago (775-A3) 1 0:00-1 0:20 (67) Some new results on representations of algebras, coalgebras, and bialgebras. Professor BODO PAREIGIS, University of California, San Diego (775-A9) 10:30-10:50 (68) Examples of lattice-ordered rings. STUART A. STEINBERG, University of Illinois, Urbana-Champaign (77 5-AS)

SATURDAY, 8:30A.M. Special Session on Integral Equations and Their Applications. II, Room 007, Swain Hall West 8:30- 8:50 (69) Integral equations basic for filtering and signal estimation theory. Professor A. G. RAMM, University of Michigan, Ann Arbor (775-B4) 9:00- 9:20 (70) Global applications of singularity theory to nonlinear integral equations. MELVYN S. BERGER, University of Massachusetts, Amherst (775-B1) 9:30- 9:50 (71) Input-output stability of networks and systems. Preliminary report. Dr. IRWIN W. SANDBERG, Bell Laboratories, Murray Hill (775-C2) 10:00-10:20 (72) A reduction method for pseudodifferential operators. Preliminary report. Professor HAROLD WIDOM, University of California, Santa Cruz (775-B2) 10:30-10:50 (73) A variational method for electromagnetic interface problems. RICHARD C. MacCAMY, Carnegie-Mellon University (775-C3)

237 SATURDAY, 9:00A.M. Special Session on Lie Algebras. I, Room 215, Lindley Hall 9:00· 9:20 (74) Obstruction algebras to the modular classical simple Lie algebras. Preliminary report. Professor STEPHEN BERMAN, University of Saskatchewan (775-A2) 9:30- 9:50 (75) The Rogers-Ramanujan Identities and A ~ 1 ). Preliminary report. Professor ROBERT LEE WILSON, Rutgers University, New Brunswick (775-A14) 10:00-10:20 (76) Construction of Euclidean Lie algebras via differential operators. Professor JAMES LEPOWSKY, Rutgers University, New Brunswick (775-A15) SATURDAY, 9:00A.M. Special Session on Minimal Surfaces. Ill, Room 116, Swain Hall East 9:00- 9:30 (77) A free boundary flow problem. Preliminary report. H. W. AL T and LUIS A. CAFFA­ RELLI*, University of Minnesota, Minneapolis (775-B33) 9:40-10:10 (78) Harnack Inequalities for nonuniformly elliptic equations. Professor NEILS. TRUDIN­ GER, Stanford University (775-B23) 10:20-1 0: SO (79) Geometric properties of minimal surfaces with partially free boundaries. Professor JOHANNES C.C. NITSCHE, University of Minnesota, Minneapolis (775-D4) SATURDAY, 9:00A.M. Special Session on Commutative Harmonic Analysis. Ill, Room 202, Lindley Hall 9:00- 9:20 (80) On the existence of Nx sets. Preliminary report. RON C. BLEI, University of Connec­ ticut, Storrs (775-B32) 9:30- 9:50 (81) Properties of certain singular measures. Preliminary report. Dr. DANIEL M. OBERLIN, Florida State University, Tallahassee (775-B9) 10:00-10:20 (82) Arithmetic characterisation of Rajchman sets and sets of continuity. BERNARD HOST and FRANCOIS PARREAU*, Universite Paris-Nord, France (775-B30) (Introduced by Professor Colin C. Graham) 10:30-10:50 (83) Thin sets of integers which are dense in the Bohr group. Preliminary report. GORDON S. WOODWARD, University of Nebraska, Lincoln (775-B28) SATURDAY, 9:00A.M. Special Session on deRham Homotopy. II, Room 220, Swain Hall West 9:00- 9:20 (84) Dual homotopy Invariants of G-foliations. STEVEN E. HURDER, University of Illinois, Urbana-Champaign (77 5-G27) 9:30- 9:50 (85) Integer deRham complex and the fundamental group. Professors BOHUMIL CENKL and RICHARD PORTER*, Northeastern University (775-G13) 10:00-10:20 (86) Tame homotopy theory and differential forms. Professors BOHUMIL CENKL* and RICHARD PORTER, Northeastern University (775-G6) 10:30-10:50 (87) Characterization of rational homotopy groups. Professor JOHN FRIEDLANDER, University of Illinois, Urbana-Champaign, and Professor STEPHEN HALPERIN*, Scarborough College, University of Toronto (775-G35) SATURDAY, 9:00A.M. Special Session on Diffusion and Local Time. II, Room 203, Lindley Hall 9:00- 9:20 (88) An application of the Trotter-Kato Theorem to queueing processes. Preliminary report. Dr. DAVID BURMAN, Bell Laboratories, Holmdel (775-F8) (Introduced by Professor Frank B. Knight) 9:30- 9:50 (89) Local time of the scaled Brownian excursion. Professor FRANK B. KNIGHT, University of Illinois, Urbana-Champaign (775-F3) 10:00-10:20 (90) Applications of time reversal to linear diffusions. Professor M. J. SHARPE, University of California, San Diego (77 5-F1) SATURDAY, 11:00 A.M. Invited Address, Room 119, Swain Hall West 11:00-12:00 (91) The regeneration method for Markov chains and Iteration of positive kernels. Professor PETER E. NEY, University of Wisconsin, Madison (775-F1 0) SATURDAY, 1:45 P.M. Invited Address, Room 119, Swain Hall West 1:45- 2:45 (92) Stability and bifurcation of steady-state solutions of systems of reaction-diffusion equa­ tions. Professor JOEL A. SMOLLER, University of Michigan, Ann Arbor (775-B27) 238 SATURDAY, 3:00P.M. Special Session on Lie Algebras. II, Room 215, Lindley Hall (1 ) 3:00- 3:20 (93) Tensor products involving a fundamental module for the GCM Lie algebra A 1 Pro- fessor ALEX). FEINGOLD, State University of New York, Binghamton (775-A12) 3:30- 3:50 (94) Growth of the compact hyperbolic Coxeter groups and the closed surface groups. Professor J. W. CANNON, University of Wisconsin, Madison (775-G3)

SATURDAY, 3:00P.M. Special Session on Minimal Surfaces. IV, Room 116, Swain Hall East 3:00- 3:30 (95) Regularity of stable minimal hypersurfaces. RICHARD SHOEN* and LEON SIMON, Institute for Advanced Study (775-D3) (Introduced by Professor john E. Brothers) 3:40- 4:10 (96) Existence of one or more minimal hypersurfaces on compact Riemannian manifolds. Dr. JON T. PITTS, University of Rochester (775-B21) 4:20- 4:50 ( 97) R-curvature and stability of the Dirichlet problem for elliptic equations. Preliminary report. Professor I LY A BAKELMAN, University of Minnesota, Minneapolis (775-B1 0) (Introduced by Professor John Brothers)

SATURDAY, 3:00P.M. Special Session on Commutative Harmonic Analysis. IV, Room 202, Lindley Hall 3:00- 3:20 ( 98) Algebras of Fourier transforms with closed restrictions. BENJAMIN B. WELLS, Univer­ sity of Hawaii, Honolulu (775-B17) 3:30- 3:50 ( 99) Three results on !-sets. Preliminary report. Professor COLIN C. GRAHAM and Profes­ sor L. THOMAS RAMSEY*, Northwestern University (775-B20) 4:00- 4:20 (100) Sets with extremal Sidon constants. Preliminary report. Professors COLIN C. GRAHAM* and L. THOMAS RAMSEY, Northwestern University (775-B19)

SATURDAY, 3:00P.M. Special Session on Integral Equations and Their Applications. Ill, Room 007, Swain Hall West 3:00- 5:30 Problem session

SATURDAY, 3:00P.M. Special Session on Fixed-Point Theory in Algebraic Topology. IV, Room 218, Swain Hall West 3:00- 3:20 (101) Transfer and spectral sequences. Professor CARLOS PRIETO, Institute de Matematicas de Ia U.N.A.M., Mexico (775-G4) 3:30- 3:50 (1 02) The fixed-point transfers and torsion in the cohomology of classifying spaces of compact Lie groups. Professor MARK FESHBACH, University of Minnesota, Minneapolis (775-G16) 4:00- 4:20 (1 03) Duality and transfer in the category of ex-spectra. Professor MONICA CLAPP DE PRIETO, Institute de Matematicas de Ia U.N.A.M., Mexico (775-GS) (Introduced by Professor Benjamin R. Halpern) 4:30- 4:50 (104) A continuous version of the Borsuk-U!am theorem. Preliminary report. )AN W. JAWOROWSKI, Indiana University, Bloomington (775-G2) 5:00- 5:20 (1 05) On the homotopy type of G-manifolds and G-ANR-s. Preliminary report. Professor SLAWOMIR KWASIK, Uniwersytet Gdanski, Poland (775-G36) (Introduced by Professor Benjamin R. Halpern) 5:30- 5:50 (1 06) Borsuk presentations and the fixed point index. Preliminary report. Professor CHRIS­ TIAN C. FENSKE, Mathematisches lnstitut der Universitat Giessen, Federal Republic of Germany (77 5-G 1 2) 6:00- 6:20 (1 07) Periodic points and a fixed-point index theory for symmetric product mappings. Prelim­ inary report. NANCY E. RALLIS, Boston College (775-G37)

SATURDAY, 3:00P.M. Session on Analysis and Applied Mathematics, Room 220, Swain Hall West 3:00- 3:10 (1 08) Perturbation of a spectrum of selfadjoint operators. Professor CHANDLER DAVIS, University of Toronto (775-B26) 3:15- 3:25 (1 09) Solution to the Riemann problem in two space variables for a single conservation law. Preliminary report. DAVID H. WAGNER, University of Michigan, Ann Arbor (775-B13) 3:30- 3:40 (11 0) Solutions in the large for some nonlinear hyperbolic conservation laws of gas dynamics. Preliminary report. JOHN BLAKE TEMPLE, University of Michigan, Ann Arbor (775-B29)

239 3:45- 3:55 (111) Numerical solution of Troesch's problem. Professor SUHRIT K. DEY, Eastern Illinois University (775-C5)

SATURDAY, 3:00P.M. Session on Probability and Statistics, Room 203, Lindley Hall 3:00-3:10 (112) Applicationsofrawtime-changestoMarkovprocesses. Professor JOSEPH GLOVER, University of Rochester (775-F6) 3:15- 3:25 (113) On Schur optimality. Dr. CONSTANTINE GREGORY MAGDA, University of Illinois at Chicago Circle (775-F2) 3:30- 3:40 (114) Nonlinear robust adaptive procedures. FREDERICK R. FORST*, Indiana Bell, Indianap­ olis, and Professor MIR MASOOM All, Ball State University (775-F9) Paul T. Bateman Urbana, Illinois Associate Secretary

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 *Almgren, F.)., Jr. 29 •Fossum, R. M. 20 *Knight, F. B. 89 *Rider, D. 14 *Auslander, M. 10 *Fournier, G. 4 *Knill, R. ). 5 *Saltman, D. ). 24 *Bakelman, I. 97 *Fournier, ). ). F. 16 *Kwasik, S. 105 *Sandber, I. W. 71 *Beachy,). A. 64 *Geman, D. 53 Lang, ). 8 *Schirmer, H. 54 *Benedetto, J. J. 17 *Geoghegan, R. 43 * Lepowsky, J. 76 *Schreiber, B. M. 31 *Berger, M. S. 70 •Geroch, R. 21 *MacCamy, R. C. 73 *Sharpe, M. ). 90 *Berman, S. 74 Glover, ). 112 Magda, C. G. 113 *Shi, G.-H. 39 *Bindschadler, D. 18 *Graham, C. C. 100 *Mela, ).-F. 30 *Shoen, R. 95 *Blei, R. C. 80 *Gugenheim, V. K. A. M. 46 *Morgan, F. 28 Smaller, ). A. 92 *Bourgin, D. G. 59 *Gutkin E. 37 *Nakaoka, M. 42 *Snider, R. L. 25 *Burman, D. 88 *Hain, R. M. 45 Nathanson, M. B. 9 *Staffeldt, R. E. 48 *Caffarelli, L. A. 77 *Halperin, S. 87 *Newton, R. G. 34 *Stasheff, J. 47 *Camillo, V. P. 65 *Halpern, B. R. 41 •Ney, P. E. 91 *Steinberg, S. A. 68 *Cannon,). W. 94 *Halpin, P. 12 *Nitsche, ). C. C. 79 *Taylor, J. E. 26 *Cenkl, B. 86 *Hardt, R. M. 27 *Nussbaum, R. D. 3 *Taylor, M. E. 36 Davis, C. 108 *Harrison, ). M. 50 *Oberlin, D. M. 81 Temple, ). B. 110 *DeFacio, B. 35 * Herstein, I. N. 66 *Pak, J, 55 *Triantafillou, G. 49 *Demeyer, F. R. 22 Hodgson, J ..P. E. 60 * Pareigis, B. 67 *Trudinger, N. S. 78 *DePrieto, M. C. 103 *Homer, W. 58 *Parreau, F. 82 *Vrem, R. C. 33 Dey, S. K. 111 * Hurder, S. E. 84 *Pierre, M. 19 Wagner, D. H. 109 *Dlab, V. 11 *Husseini, S. Y. 57 *Pitts, J. T. 96 *Wellner, J. A. 51 Evans, A. 7 *lwanaga, Y. 13 *Porter, R. 85 *Wells, B. B. 98 *Fadell, E. 56 Janos, L. 61 *Prieto, C. 101 *Widom, H. 72 *Faith, C. 23 *Jaworowski,). W. 104 *Rallis, N. E. 107 *Wille, F. 6 Farmer, T. 63 *Jerrard, R. P. 44 *Ramm, A. G. 69 *Wilson, R. L. 75 *Feingold, A. J. 93 Jiang, B. 40 *Ramsey, L. T. 99 *Woodward, G. S. 83 *Fenske, C. 106 *Jordan, A. K. 38 *Reich, S. 2 Wu, C.-M. 62 *Feshbach, M. 102 *Kasahara, Y. 52 *Rhoades; B. E. 1 * Zafran, M. 32 Forst, F. R. 114 *Kaufman, R. 15

CBMS REGIONAL CONFERENCE SERIES IN MATHEMATICS (Supported by The National Science Foundation) ON AXIOM A DIFFEOMORPHISMS by Rufus Bowen These notes survey the results about Axiom A A systems that have received a good deal of attention. diffeomorphisms obtained since Smale's well-known pa­ These systems display a certain amount of Axiom A type per of 1967. In that paper Smale defined these of behavior. diffeomorphisms and set up a program for dynamical This is an expository work. them. These examples are systems centered around Number 35 behavior but charming in that they display complicated 56 pages means that there are many are still intelligible. This List price $6.00; individual price $3.00 problems. theorems and yet some open ISBN 0-8218-1685-3: LC 78-56129 copy Smale's paper for com­ The first two sections Publication date: June I, 1978 deal with certain non-Axiom pleteness. The last sections To order, please specify CBMS/35 D

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

240 PHILADELPHIA, April 17-18, 1980, Benjamin Franklin Hotel Program for the 776th Meeting The seven hundred seventy-sixth meeting of the Boris Korenblum, Boris Mityagin, Esa Nilimarkka, American Mathematical Society will be held at the Zafer Nurlu, M. S. Ramanujan, Walter Rudin, Gerald Benjamin Franklin Hotel in Philadelphia, Pennsyl­ W. Schwarz, Joel H. Shapiro, B. A. Taylor, Daoxing vania, on Thursday and Friday, April 17-18, 1980. Xia, and William Zame. The meeting will be preceded by a symposium Infinite groups, JOAN L. DYER of CUNY Herbert on "Mathematical Psychology and Psychophysiology," H. Lehman College, and TEKLA LEWIN of Syracuse to be held on Tuesday and Wednesday, April 15-16. University. The speakers are S. Bachmuth, A. M. The topic was selected by the AMS-SIAM Committee Brunner, Leo P. Comerford, Jr., Verena Huber-Dyson, on Applied Mathematics, whose members are D. J. Edna K. Grossman, Narain D. Gupta, R. C. Lyndon, Benney, R. Brockett, F. C. Hoppensteadt (chairman), D. S. Passman, F. C. Y. Tang, and Marvin D. Tretkoff. S. K. Mitter, and M. Schultz. The members of the Relation of the fundamental group to manifold Organizing Committee are W. K. Estes, Stephen theory, F. T. FARRELL of the University of Michi­ Grossberg (chairman), R. Duncan Luce, M. Frank gan, Ann Arbor, and W.-C. HSIANG of Princeton Norman, H. Simon, and George Sperling. Support is University. The speakers include Robert Brooks, anticipated under a grant from the National Science Kenneth S. Brown, Frank Connolly, Lowell E. Jones, Foundation. John W. Morgan, William Pardon, Frank Quinn, Frank Raymond, Andrew A. Ranicki, and Howard Invited Addresses D. Rees. By invitation of the Committee to Select Hour Differential geometry, C. C. HSIUNG of Lehigh Speakers for Eastern Sectional Meetings, there will University. The speakers will include Thomas F. be four invited one-hour addresses: F. THOMAS Banchoff, Eugenio Calabi, Dennis DeTurck, Chaohao FARRELL of the University of Michigan, Ann Arbor, Gu, Joseph J. Kohn, Tilla K. Milnor, Katsumi 1:15 p.m. Thursday, Aspherica/ manifolds; TROELS Nomizu, V. I. Oliker, Karen K. Uhlenbeck, Nolan R. JORGENSEN of the University of Minnesota, Min­ Wallach, and Van-Lin Yu. neapolis, 1:15 p.m. Friday, Degenerate and doubly Modular forms and L-functions, DALE H. degenerate Klein/an groups; NANCY KOPELL, North­ HUSEMOLLER of Haverford College. The speakers eastern University, 11:1 0 a.m. Thursday, Reaction­ include Joe P. Buhler, Benedict H. Gross, Wen-Ch'ing diffusion equations, horseshoes, and a perturbed Winnie Li, Jon Rogawski, David Rohrlich, and Y. S. central force problem; and GEORGE LUSZTIG of Tai. Massachusetts Institute of Technology, 11 :10 a.m. Klein/an groups, LINDA KEEN, CUNY Graduate Friday, The Heeke algebra of the affine Weyl group. School and University Center. The speakers will be Special Sessions Clifford J. Earle, Frederick P. Gardiner, Jane Gilman, By invitation of the same committee, there will Linda Keen, Irwin Kra, J. Peter Matelsky, Robert F. be eleven sessions of selected twenty-minute papers. Riley, and Scott A. Wolpert. The topics of the special sessions, their organizers, Differential equations in plasticity and nonlinear and the list of speakers are: elasticity, DAVID R. OWEN of Carnegie-Mellon Uni­ versity. The speakers include Stuart S. Antman, Unsolved problems In biological and chemical John M. Ball, Barry Bernstein, Jack Buhite, Constan­ modelling, GAIL CARPENTER, Northeastern Univer­ tine Dafermos, J. Ernest Dunn, Robert F. Gordon, sity. The speakers will be Martin Feinberg, Morton Robert Muncaster, Paolo Podio-Guidugli, Scott E. Gurtin, Lea F. Murphy, and Charles S. Peskin. Spector, Gilbert Strang, and Wan-Lee Yin. Frechet spaces and spaces of holomorphic func­ Number theory, MARK SHEINGORN of CUNY tions, ED DUBINSKY of Clarkson College of Tech­ Bernard M. Baruch College. The speakers will include nology, and BORIS MITYAGIN of Ohio State Uni­ George E. Andrews, Paul T. Bateman, David M. versity. The speakers will include Heikki Apiola, Bressoud, Sarvadaman Chawla, Larry J. Goldstein, Steven F. Bellenot, Andreas Benndorf, Carlos A. Martin L. Karel, Marvin I. Knopp, Joseph Lehner, Berenstein, Edward Bierstone, Thomas Bloom, Milos and L. A. Parson. A. Dostal, Edward Dubinsky, Michael J. Hoffman, Commutative algebra, WOLMER VASCONCELOS of Rutgers University. The speakers are Edward D. Most of the papers to be presented at the special Davis, Anthony V. Geramita, William J. Heinzer, sessions are by invitation; however, anyone con­ Melvin Hochster, Andrew R. Kustin, Gerson Levin, tributing an abstract for the meeting, who feels Matthew Miller, Judith D. Sally, Avinash Sathaye, that his or her paper would be particularly appro­ Lucien Szpiro, Charles A. Weibel, and Roger Wiegand. priate for one of these sessions, should indicate Probability theory, ROBERTA S. WENOCUR of this clearly on the abstract and submit it for Drexel University, and J. HOROWITZ, University of consideration as a "late paper" by March 29. Massachusetts, Amherst. The speakers include Simeon (See the special announcement in the box at the bottom of page 154 in the February Notices.) Berman, Erhan <;:inlar, R. M. Dudley, Kenneth J. Hochberg, Joseph Horowitz, Samuel Kotz, Joseph D.

241 Petrocelli, David Pollard, N. U. Prabhu, V. Rama­ Book Exhibits and Sale swami, L. A. Shepp, j. Michael Steele, Lawrence D. An exhibit of assorted mathematics books S. Wenocur, and Stone, S. R. S. Varadhan, Roberta offered by various publishers, and a sale at substan­ Stephen j. Wolfe. tial discounts of recent books published by the There will also be four sessions for contributed American Mathematical Society, will be located in ten-minute papers on Friday. Abstracts should have the jefferson Room during the above registration been sent to the American Mathematical Society in hours Tuesday through Friday. Providence, so as to arrive by the February 14 dead­ line. Late papers will be accepted for presentation Accommodations and Travel at the meeting, but will not be listed in the printed A block of rooms has been set aside at the program. Benjamin Franklin Hotel for participants attending the symposium and meeting. Persons planning to there should make their own room reservations Registration stay directly with the hotel. A reservation form and room The registration desk will be located outside the rates will be found on page 228 of the February issue Betsy Ross Suite (mezzanine floor) on Tuesday and of the Notices. The deadline for receipt of reserva­ Wednesday, and will be open from 8:00 a.m. until tions by the hotel is March 25, 1980. 4:30 p.m. both days. On Thursday and Friday the The Benjamin Franklin Hotel is centrally located registration desk will be located in the jefferson on Chestnut Street at Ninth, in the heart of Phila­ Room on the second floor. The desk will be open delphia's financial, shopping, and theatrical district. from 8:30 a.m. to 4:30 p.m. on Thursday, and from Many colonial American sites and the Independence 8:30 a.m. to 2:30 p.m. on Friday. Mall are within a five-minute walk from the hotel. Registration fees for the meeting and symposium Railroad and bus stations are within fifteen minutes arc as follows: of the hotel. Philadelphia International Airport is served by most of the major airlines, and limousine Symposium Meeting Symposium service between the hotel and airport is available at Only ___Q_r:1_!y_ and Meeting a cost of approximately $4.50 each way. Persons arriving by car can park in the hotel Nonmember $3 $5 $8 garage, where the present rate is $4.50 for each Member of AMS or 28-hour period; the rate is subject to change by the SIAM 2 3 5 spring of 1980. Hourly rates are charged for short­ Student or term parking. Entrance to the garage is reached Unemployed 2 from Walnut Street.

PROGRAM FOR THE AMS-SIAM SYMPOSIUM ON MATHEMATICAL PSYCHOLOGY AND PSYCHOPHYSIOLOGY

All sessions will be held in the Betsy Ross Suite, Mezzanine Floor, Benjamin Franklin Hotel

TUESDAY, APRIL 15 First Session. Chaired by Stephen Grossberg 9:00- 9:50a.m. Representation theorems for evidence and belief. DAVID KRANTZ, University of Michigan, Ann Arbor 9:55-10:45 a.m. Does the human visual system do a Fourier analysis of the visual scene? NORMA GRAHAM, Columbia University and the University of Oregon 10:45-11 :00 a.m. Break in session 11:00- noon Axiomatic theories of measurement. R. DUNCAN LUCE, Harvard University, and LOUIS NARENS, University of California, Irvine

Second Session. Chaired by R. Duncan Luce 1:30- 2:20 p.m. Nonlinear resonance in cognitive development and adult perception. STEPHEN GROSSBERG, Boston University 2:30- 3:20 p.m. Normal and abnormal signal patterns in nerve cells. GAlL CARPENTER, Northeastern University 3:20- 3:35 p.m. Break in session 3:35- 4:30 p.m. Development of ordered structure in the visual system. CHRISTOPHER VON DER MALSBURG, Max Planck lnstitut fur Biophysikalische Chemie, Gottingen, Federal Republic of Germany

242 WEDNESDAY, APRIL 16 Third Session. Chaired by George Sperling 9:00- 9:50a.m. Nonlinear dynamics of neural template formation for olfactory search images. WALTER FREEMAN, University of California, Berkeley 9:55·10:45 a.m. Theoretical consequences of Invariant properties of masking phenomena in psycho­ acoustics. GEOFFREY IVERSON, New York University 10:45-11 :00 a.m. Break in session 11 :00-11 :50 a.m. A "psychological" proof that certain Markov semigroups preserve differentiability. M. FRANK NORMAN, University of Pennsylvania Fourth Session. Chaired by M. Frank Norman 1:20- 2:10p.m. Mathematical models of visual perception. GEORGE SPERLING, New York University 2:15- 2:45 p.m. Towards a system that learns, guesses and discovers. STUART A. GEMAN, Brown University 2:45- 3:00 p.m. Break in session 3:00- 3:30 p.m. An optimal response bias in the economics and psychology of choice. DAVID NOREEN, Bell Laboratories 3:35- 4:30 p.m. Parallel and serial models of information processing. DIRK VORBERG, University of Konstanz, Federal Republic of Germany, and Bell Laboratories

PRESENTERS OF PAPERS FOR AMS SESSIONS LISTED ON THE FOLLOWING PAGES

Following each name is the number corresponding to the speaker's position on the program • Invited one·hour lecturers * Special Session speakers Abeles, F. F. 111 •Farrell, F. T. 39 *Li, W.-C. W. 53 *Rogawski, J. D. 57 Allaway, W. R. 148 *Feinberg, M. 42 •Lusztig, G. 122 *Rohrlich, D. E. 54 *Andrews, G. E. 2 Feuerbacher, G. A. 151 *Lyndon, R. C. 85 *Rudin, W. 62 * Antman, S. S. 1 04 Fry ant, A. J. 95 *Matelski, J. P. 67 *Sally, J. D. 81 *Apiola, H. 58 Gaglione, A. M. 145 Me Nertney, L. 114 Salzer, H. E. 110 Arsove, M. 133 *Gardiner, F. P. 22 Mihram, G. A. 116 *Sathaye, A. 9 *Bachmuth, S. 83 *Geramita, A. V. 7 *Miller, M. 125 Schiffman, J. 94 Bain, J. A., Jr. 132 *Gilman, J. 64 *Milnor, T. K. 69 Schmeelk, J. F. 92 *Ball, J. M. 139 Goldberg, C. H. 150 *Mityagin, B. 129 *Schwarz, G. W. 90 * Banchoff, T. F. 72 Goldman, L. 93 *Morgan, J. W. 109 *Shapiro, J. H. 60 *Bateman, P. T. 44 *Goldstein, L. J. 46 *Muncaster, R. 140 *Shepp, L. A. 76 *Bellenot, S. F. 11 *Gordon, R. F. 32 *Murphy, L. F. 43 Siegel, P. H. 149 *Benndorf, A. 15 *Gross, B. H. 52 *Nell markka, E. 12 *Spector, S. J. 34 *Berenstein, C. A. 87 *Grossman, E. K. 51 *Nomizu, K. 142 *Steele, J. M. 119 *Berman, S. M. 28 *Gu, C. 141 *Nuriu, Z. 14 *Stone, L. D. 75 *Bernstein, B. 1 01 *Gupta, N. 49 *Oiiker, V. I. 68 *Strang, G. 138 *Bierstone, E. 91 *Gurtin, M. E. 40 *Pardon, W. 107 *Szpiro, L. 8 *Bloom, T. 89 *Heinzer, W. J. 78 *Parson, L. A. 1 *Tal, Y. S. 56 *Bressoud, D. M. 3 *Hochberg, K. J. 27 *Passman, D. S. 86 *Tang, F. C. Y. 127 *Brooks, R. 16 *Hochster, M. 79 *Peskin, C. S. 41 *Taylor, B. A. 88 *Brown, K. S. 19 *Hoffman, M. J. 13l *Petruccelli, J. D. 26 Thrash, J. 112 *Brunner, A. M. 84 *Horowitz, J. 30 *Podio-Guidugli, P. 100 Trench, W. F. 99 *Buhite, J. L. 33 *Huber·Dyson, V. 50 *Pollard, D. 118 *Tretkoff, M. D. 48 *Buhler, J. P. 55 Jacobowitz, H. 113 Poreda, S. J., Jr. 134 Turisco, J. S. 146 *Calabi, E. 37 *Jones, L. E. 17 *Prabhu, N. U. 73 *Uhlenbeck, K. K. 143 *Chowla, S. 5 •Jorgensen, T. 123 Puttaswamy, T. K. 135 *Varadhan, S. R. S. 74 *lj:inlar, E. 29 *Karel, M. L. 4 7 Quigg, J. C. 98 *Wallach, N. R. 36 *Comerford, L. P., Jr. 126 *Keen, L. 66 *Quinn, F. 106 *Weibel, C. A. 82 *Connolly, F. 108 Kleiman, H. 144 Ram, R. B. 97 *Wenocur, R. S. 117 *Dafermos, C. M. 102 *Knopp, M. I. 45 *Ramanujan, M. S. 13 *Wiegand, R. 6 *Davis, E. D. 10 *Kohn, J. J. 71 *Ramaswami, V. 77 *Wolfe, S. J. 25 *DeTurck, D. M. 70 •Kopell, N. 38 * Ranicki, A. A. 105 *Wolpert, S. A. 65 Deveney, J. K. 147 *Korenblum, B. 63 Rao, V. V. 96 Woyczynski, W. A. 115 *Dostal, M. A. 128 * Kotz, S. 121 Rassias, G. M. 152 *Xia, D. 130 *Dubinsky, E. 59 * Kra, I. 23 Rassias, T. M. 153 *Yin, W.-L. 31 *Dudley, R. M. 120 *Kustin, A. R. 124 *Raymond, F. 18 *Yu, Y. L. 35 *Dunn, J. E. 103 *Lehner, J. 4 *Rees, H. D. 20 Zak, K. E. 137 *Earle, C. J. 21 *Levin, G. 80 *Riley, R. F. 24 *Zame, W. R. 61 Edrei, A. 136

243 PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions Is ten minutes. In the special sessions the time varies from session to session and within sessions. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the April 1980 issue of Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses following the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, as asterisk follows the name of the author who plans to present the paper at the meeting.

THURSDAY, 9:00A.M. Special Session on Number Theory. I, Poor Richard A. 9:00- 9:20 ( 1) Bounds for the norm of the Poincare 0-operator. Preliminary report. Dr. L. A. PARSON*, Ohio State University, Columbus, and Dr. MARK SHEINGORN, Baruch College, City University of New York (776-B42) 9:25- 9:45 2) Theta series expansions in Ramanujan's "lost" notebook. Professor GEORGE E. ANDREWS, Pennsylvania State University, University Park (776-A10) 9:50-10:10 3) A combinatorial technique for partition theory. Professor DAVID M. BRESSOUD, Institute for Advanced Study (776-A4) 10:15-10:35 4) Uniqueness of a class of Fuchs/an groups. Professor JOSEPH LEHNER, University of Pittsburgh, Pittsburgh (776-A 18) 10:40-11 :00 5) Some unsolved problems. Professor SARVADAMAN CHOWLA, Institute for Advanced Study (776-A32)

THURSDAY, 9:00 A. M. Special Session on Commutative Algebra. I, Room 401 9:00- 9:20 ( 6) Projective summands in generators. Preliminary report. Professor DAVID EISENBUD, Universifat Bonn, Federal Republic of Germany, Professor WOLMER VASCONCELOS, Rutgers University, New Brunswick, and Professor ROGER WIEGAND*, University of Nebraska, Lincoln (776-A 11) 9:25- 9:45 ( 7) The Cohen-Macaulay type of s-lines in A n+l. Professor ANTHONY V. GERAMITA*, Queen's University, Kingston, Ontario, and Professor FERRUCCIO ORECCHIA, Universita di Genova, Italy (776-A5) 9:50-10:10 8) Riemann-Roch theorem for local rings. Preliminary report. Professor LUCIEN SZPI RO, Columbia University (776-A2) (Introduced by Professor Wolmer Vasconcelos) 10:15-10:35 9) jacobian ideals and a theorem of Briankon-Skoda. Professor AVINASH SATHAYE*, University of Kentucky, Lexington, and Professor JOSEPH Ll PMAN, Purdue University, West Lafayette (776-A3) 10:40-11:00 ( 10) Prime divisors of local domains. Preliminary report. Professor E. D. DAVIS, State University of New York, Albany (776-A 19)

THURSDAY, 9:00 A. M. Special Session on Fre"chet Spaces and Spaces of Holomorphic Functions. I, Washington 9:00- 9:20 ( 11) On conditional bases in nonnuclear Frechet spaces. Preliminary report. Professor STEVEN F. BELLENOT, Florida State University (776-B20) 9:25- 9:45 ( 12) On A (P,N)-nuclearity and operator ideals. Dr. ESA NELl MARKKA, Helsinki University of Technology, Finland (776-B14) 9:50-10:10 ( 13) Subspaces of nuclear Frechet spaces. Professor M.S. RAMANUJAN, University of Michigan, Ann Arbor (776-B12)

10:15-10:35 ( 14) On subspaces of A1 (a) and Aoo(a) for weakly stable a. Preliminary report. ZAFER NURLU, Middle East Technical University, Turkey (776-Bll) 10:40-11 :00 ( 15) Uniform bounded approximation property in nuclear Frechet spaces. Preliminary report. ANDREAS BENNDORF, Technische Hochschule Darmstadt, Federal Republic of Germany (776-B5) (Introduced by Professor Ed Dubinsky)

244 THURSDAY, 9:00A.M. Special Session on Relation of the Fundamental Group to Manifold Theory. I, Room 403 9:00- 9:20 ( 16) Amenability and the spectrum of the Laplacian. Preliminary report. Dr. ROBERT BROOKS, University of Maryland, College Park (776-D3) (Introduced by Professor Joel Cohen) 9:25- 9:45 ( 17) Expanding immersions. Preliminary report. LOWELL E. JONES*, State University of New York, Stony Brook, and F. T. FARRELL, University of Michigan, Ann Arbor (776-G16) 9:50-1 0:1 0 ( 18) Topological, affine, and isometric actions on flat Riemannian manifolds. KYUNG BAI LEE and FRANK RAYMOND*, University of Michigan, Ann Arbor (776-G9) 10:15-10:35 ( 19) Virtual geometric dimension. Preliminary report. Professor KENNETH S. BROWN, (776-G1 0) 1 0:40-11 :00 ( 20) Novikov's conjecture and manifolds fibered of non positively curved manifolds. Preliminary report. HOWARD D. REES, University of Michigan, Ann Arbor (776-G2) THURSDAY, 9:00A.M. Special Session on Kleinian Groups. I, Poor Richard B. 9:00- 9:20 ( 21) Some intrinsic global coordinates on Teichmiiller space. Preliminary report. CLIFFORD J. EARLE, Cornell University (776-B16) 9:25- 9:45 ( 22) Partially Teichmuller differentials. Preliminary report. Professor FREDERICK P. GARDINER, City University of New York, Brooklyn College (776-B23) 9:50-10:10 ( 23) Bases for Poincan! series for Kleinian groups. Preliminary report. Professors IRWIN KRA* and BERNARD MASKIT, State University of New York, Stony Brook (776-B30) 10:15-10:35 ( 24) Nonfree discrete subgroups of PSL(2,C) generated by 2 parabolics. ROBERT F. RILEY, Institute for Advanced Study (776-B38) (Introduced by Professor Linda Keen)

THURSDAY, 9:00A.M. Special Session on Probability Theory. I, Room 404 9:00- 9:20 ( 25) Integer-valued branching processes with immigration. Preliminary report. Professor FRED STEUTEL, Eindhoven Technological University, The Netherlands, and Professor STEPHEN J. WOLFE*, University of Delaware (776-F8) 9:25- 9:45 ( 26) Best choice problems involving uncertainty of selection and recall of observations. Preliminary report. Professor JOSEPH D. PETRUCCELLI, Worcester Polytechnic Institute (776-F10) (Introduced by Professor Joseph Horowitz) 9:50-10:10 ( 27) Random measures in population biology. Preliminary report. Professor KENNETH J. HOCHBERG, Case Western Reserve University (776-F7) 10:40-11 :00 ( 28) Sojourns and extremes of stationary processes. Professor SIMEON M. BERMAN, New York University, Courant Institute of Mathematical Sciences (776-F3) 11:05-11:25 ( 29) On Levy systems of Chung processes. Professor E. <;:INLAR* and Dr. HAYA KASPI, Princeton University (776-F15) 11 :30-11:50 ( 30) The occupation measure of a Markov process. Professor JOSEPH HOROWITZ, University of Massachusetts, Amherst (776-F6)

THURSDAY, 9:25A.M. Special Session on Differential Equations in Plasticity and Nonlinear Elasticity. I, Room 405 9:25- 9:45 ( 31) The effect of lateral pressure on an elasto-plastic plate under initial thermal yielding. Preliminary report. Professor WAN-LEE YIN, Georgia Institute of Technology (776-C14) (Introduced by Professor David R. Owen) 9:50-1 0:10 ( 32) Existence and nonexistence of solutions of paired quasilinear wave equations. Preliminary report. Dr. ROBERT F. GORDON, Avis, Inc., Garden City, New York (776-B8) (Introduced by Professor David R. Owen) 10:15-10:35 ( 33) An ordinary differential equation from plasticity theory. Dr. JACK L. BUHITE, Drexel University (776-B2) 10:40-11 :00 ( 34) On stability and uniqueness in finite elasticity and nonlinear viscoelasticity. Dr. SCOTT J. SPECTOR, University of Tennessee, Knoxville (776-C2)

245 THURSDAY, 9:50 A. M. Special Session on Differential Geometry. I, Room 406 9:50-10:10 ( 35) PL Gouss-Bonnet-Chern formula. Y. L. YU, Institute of Mathematics, Academia Sinica, Beijing, People's Republic of China, and University of Pennsylvania, Philadelphia (776-D2) (Introduced by Professor C. C. Hsiung) 10:15-10:35 ( 36) Cohomology of Hermitian symmetric spaces of finite volume. Preliminary report. NOLAN R. WALLACH, Rutgers University, New Brunswick (776-Dll) (Introduced by Professor C. C. Hsiung) 10:40-11:00 ( 37) Hypersurfoces in Rn+l with extremal affine invariant area. Dr. EUGENIO CALABI, University of Pennsylvania (776-013)

THURSDAY, 11:10 A.M. Invited Address, Washington Room 11 :1 0-12:1 0 ( 38) Reaction-diffusion equations, horseshoes, and a perturbed central force problem. Professor NANCY KOPELL, Northeastern University (776-B29)

THURSDAY, 1:15 P.M. Invited Address, Washington Room 1:15- 2:15 ( 39) Asphericol manifolds. F. THOMAS FARRELL, University of Michigan, Ann Arbor (776-G4)

THURSDAY, 1:30 P.M. Special Session on Unsolved Problems in Biological and Chemical Modeling, Room 405 1:30- 2:10 ( 40) Some open problems in age-dependent population dynamics. Professor M. E. GURTIN, Carnegie-Mellon University (776-C12) 2:20- 3:00 ( 41) Unsolved problems of the heart. Preliminary report. Professor CHARLES S. PESKIN, New York University, Courant Institute of Mathematical Sciences (776-C4) 3:10- 3:50 ( 42) Some open questions in chemical dynamics. Professor MARTIN FEINBERG, University of Rochester (776-B33) (Introduced by Professor Gail Carpenter) 4:00- 4:20 ( 43) Optimal harvesting of age-structured population. Preliminary report. LEA F. MURPHY, Carnegie-Mellon University (776-Cll)

THURSDAY, 2:20P.M. Special Session on Number Theory. II, Poor Richard A. 2:00- 2:40 ( 44) Some applications of touberion theorems of Delange. Preliminary report. Professor PAUL T. BATEMAN, University of IJJinois, Urbana-Champaign (776-A34) 2:45- 3:05 ( 45) Heeke operators and on identity for the Dedekind sums. Preliminary report. Professor MARVIN I. KNOPP, Temple University, Philadelphia (776-A30) 3:10- 3:30 ( 46) On Artin's primitive root conjecture. Dr. LARRY J. GOLDSTEIN, University of Maryland, College Park (776-A6) 3:35- 3:55 ( 47) Transformation theory of Eisenstein series. Preliminary report. Professor MARTIN L. KAREL, University of North Carolina, Chapel Hill (776-A17)

THURSDAY, 2:20P.M. Special Session on Infinite Groups. I, Room 403 2:20- 2:40 ( 48) Applications of group theory to function theory. Professor MARVIN D. TRETKOFF, Stevens Institute of Technology (776-A31) 2:45- 3:05 ( 49) Soluble Engel groups and Lie algebras. Preliminary report. Professor NARAIN GUPTA, University of Manitoba (776-A35) 3:10- 3:30 ( 50) On the elementary theory of symmetric groups. Preliminary report. Dr. VERENA HUBER-DYSON, University of Calgary (776-A37) 3:35- 3:55 ( 51) The outomorphisms of the braid groups. Professor JOAN L. DYER, City University of New York, Lehman College, and Dr. EDNA K. GROSSMAN*, IBM T. J. Watson Research Center, Yorktown Heights (773-20-1)

246 THURSDAY, 2:20 P. M. Special Session on Modular Forms and L-Functions, Room 401 2:20- 2:40 ( 52) An integral formula for the L-series of modular forms. Preliminary report. BENEDICT H. GROSS, Princeton University (776-A22) 2:45- 3:05 ( 53) On converse theorems of GL(2) and GL(1 ). Dr. WEN-CH'ING WINNIE Ll, Pennsylvania State University, University Park (776-A27) 3:10- 3:30 ( 54) Root numbers of Heeke L-functions of CM fields. Preliminary report. DAVIS E. ROHRLICH, Institute for Advanced Study (776-A29) 3:35- 3:55 ( 55) Stark's conjecture for a Heeke L-series with a double zero at s = 0. J. P. BUHLER, Pennsylvania State University, University Park (776-A33) 4:00- 4:20 ( 56) Modular functions and moduli of curves. Professor Y. S. TAl, Haverford College (776-A36) 4:25- 4:45 ( 57) Shalika germs for semisimple p-adic groups. Preliminary report. JONATHAN D. ROGAWSKI, Princeton University (776-G18) THURSDAY, 2:20P.M. Special Session on Frechet Spaces and Spaces of Holomorphic Functions. II, Washington 2:20- 2:40 ( 58) Every nuclear Frechet space is a quotient of a Schwartz L,(a,oo)-space. Dr. HEIKKI APIOLA, Helsinki University of Technology, Finland, and Clarkson College of Technology (776-B7) 2:45- 3:05 ( 59) Quotients with bases in Frechet spaces. Professor ED DUBINSKY, Clarkson College of Technology (776-B9) 3:10- 3:30 ( 60) Riesz sets and Banach subspaces of HP(O < p < 1 ). Preliminary report. JOEL H. SHAPIRO, Michigan State University, East Lansing (776-B18) 3:35- 3:55 ( 61) Spaces of holomorphic germs. Dr. WILLIAM R. ZAME, State University of New York, Buffalo (776-B25) 4:00- 4:20 ( 62) Invariant function algebras in the ball. Professor WALTER RUDIN, University of Wisconsin, Madison (776-B19) 4:25- 4:45 ( 63) Beur!ing algebras and potential theory. Preliminary report. BORIS KOREN BLUM, State University of New York, Albany (776-B1) THURSDAY, 2:20 P. M. Special Session on Kleinian Groups. II, Poor Richard B. 2:20- 2:40 ( 64) The classification theorem for the mapping class group via the methods of j. Nielsen. Professor JANE Gl LMAN, Institute for Advanced Study (776-B13) 2:45- 3:05 ( 65) On Poincare series and the Fenchel Nielsen twist deformation. Professor SCOTT A. WOLPERT, University of Maryland, College Park (776-B31) 3:10- 3:30 ( 66) Moduli for quasi-fuchsian groups. Preliminary report. Professor LINDA KEEN, City University of New York, Herbert H. Lehman College (776-B39) 3:35- 3:55 ( 67) Discrete groups of isometries of hyperbolic 3-space generated by four reflections. Preliminary report. Professor J. PETER MATELSKI, State University of New York, Stony Brook (776-MO)

THURSDAY, 2:20P.M. Special Session on Differential Geometry. II, Room 406 2:20- 2:40 ( 68) lsometries of Riemannian manifolds with spheres. Professor V. I. OLIKER, University of Iowa (776-01) 2:45- 3:05 ( 69) Classifying harmonic immersions of surfaces in En. Professor Tl LLA KLOTZ Ml LNOR, Rutgers University, New Brunswick (776-D4) 3:10- 3:30 ( 70) Prescribing Ricci curvature. DENNIS M. DeTURCK, University of Pennsylvania (776-D5) 3:35- 3:55 ( 71) Weakly pseudoconvex hypersurfaces. JOSEPH J. KOHN, Princeton University (776-D8) 4:00- 4:20 ( 72) Fabricius-Bjerre theorems for pairs of submanifolds. Preliminary report. Professor THOMAS F. BANCHOFF, Brown University (776-D9)

247 THURSDAY, 2:20P.M. Special Session on Probability Theory. II, Room 404 2:20- 2:40 ( 73) Ladder sets for non-Markovian processes. Preliminary report. Professor N. U. PRABHU, Cornell University and University of Maryland, College Park (776-F1} 2:45- 3:05 ( 74) A law of the iterated logarithm for total occupation times of transient Brownian motion. Professors M. D. DONSKER and S. R. S. VARADHAN*, New York University, Courant Institute of Mathematical Sciences (776-F11) 3:10- 3:30 ( 75) Constrained optimization of functionals with search theory applications. Dr. WALTER R. STROMQUIST and Dr. LAWRENCE D. STONE*, Daniel H. Wagner, Associates, Paoli, Pennsylvania (776-C1 0) 3:35- 3:55 ( 76) The FKG inequality and some monotonicity properties of partial orders. Preliminary report. Dr. L. A. SHEPP, Bell Laboratories, Murray Hill (776-F2) 4:00- 4:20 ( 77) The busy period of queues which have a matrix-geometric steady-state probability vector. Preliminary report. Dr. V. RAMASWAMI, Drexel University (776-F4) (Introduced by Professor Roberta S. Wenocur}

FRIDAY, 9:00A.M. Special Session on Commutative Algebra. II, Room 401 9:00- 9:20 ( 78) Noetherian implies R(X) is a Hilbert ring. JAMES W. BREWER, University of Kansas, and WILLIAM J. HEINZER*, Purdue University, West Lafayette (776-A13) 9:25- 9:45 ( 79) A modified Koszul complex. Preliminary report. Professor MELVIN HOCHSTER, University of Michigan, Ann Arbor (776-A39) 9:50-10:10 ( 80) Large homomorphisms of local rings. Professor GERSON LEVIN, City University of New York, Brooklyn College (776-A 15) 10:15-10:35 ( 81) Stretched Cohen-Macaulay rings. Professor JUDITH D. SALLY, Northwestern University (776-A28) 10:40-11 :00 ( 82) Complete intersection points on affine surfaces. CHARLES A. WEI BEL, University of Pennsylvania (776-A26)

FRIDAY, 9:00 A. M. Special Session on Infinite Groups. II, Room 406 9:00- 9:20 ( 83) SL 2 of Laurent polynomial rings and automorphisms of solvable groups. Professors S. BACHMUTH* and H. MOCHIZUKI, University of California, Santa Barbara (776-A7} 9:25- 9:45 ( 84) Two remarks on the Howson property of groups. Professor A. M. BRUNNER*, University of Wisconsin, Parkside, and Professor R. G. BURNS, York University (776-A 12) 9:50-10:10 ( 85) Equations over cyclic groups. R. C. LYNDON, University of Michigan, Ann Arbor (776-A14) 10:15-10:35 ( 86) Units in integral group rings. Professors D. S. PASSMAN* and P. F. SMITH, University of Wisconsin, Madison (776-A 16)

FRIDAY, 9:00 A. M. Special Session on Fn!chet Spaces and Spaces of Holomorphic Functions. Ill, Washington 9:00- 9:20 ( 87) Geometry of hypersurfaces and interpolation. Preliminary report. Professor CARLOS A. BERENSTEIN*, University of Maryland, and Professor B. A. TAYLOR, University of Michigan, Ann Arbor (776-B28) 9:25- 9:45 ( 88) Examples of linear extension operators in some spaces of entire functions. Preliminary report. Professor B. A. TAYLOR, University of Michigan, Ann Arbor (776-B6) 9:50-10:10 ( 89) Kergin interpolatio.n for entire functions on en. Professor THOMAS BLOOM, University of Toronto (776-815) 10:15-10:35 ( 90) Splitting exact sequences of C00 functions. I. Preliminary report. Professor EDWARD BIERSTONE, University of Toronto, and Professor GERALD W. SCHWARZ*, Brandeis University (776-G5} 10:40-11 :00 ( 91} Splitting exact sequences of spaces of Coo functions. II. Preliminary report. Professor EDWARD BIERSTONE*, University of Toronto, and Professor GERALD W. SCHWARZ, Brandeis University (776-G6)

248 FRIDAY, 9:00A.M. Session on Analysis, Room 456 9:00- 9:10 ( 92) Commutators in a Frechet space. Preliminary report. Dr. JOHN F. SCHMEELK, Virginia Commonwealth University (776-B3) 9:15- 9:25 ( 93) Algorithm for algebraic integrals in discrete particle mechanics. Professor LAWRENCE GOLDMAN, Stevens Institute of Technology (776-B4) 9:30- 9:40 ( 94) Measure theoretic applications of the condition of Baire. Preliminary report. Professor JAY SCHIFFMAN, Kean College of (776-B10) (Introduced by Dr. Robert 0. Stanton) 9:45- 9:55 ( 95) Rotations and the Bergman 8 3 integral operator. Professor ALLAN J. FRY ANT, U. S. Naval Academy (776-B17) 10:00-10:10 ( 96) Fourier coefficients of nonanalytic automorphic forms. Professor V. V. RAO, University of Regina (776-B21) 10:15-10:25 ( 97) Dirichlet boundary value problem for the partial differential equation (L'l- >.2 ) 2 u = 0. Professor RAM BACHANRAM, State University of New York, Oneonta (776-B22) 10:30-10:40 ( 98) On the irreducibility of an induced representation. Dr. JOHN C. QUIGG, Drexel University (776-B24) 1 0:45-10:55 ( 99) An oscillation condition for differential equations of arbitrary order. Professor WILLI AM F. TRENCH, Drexel University (776-B26)

FRIDAY, 9:00A.M. Special Session on Differential Equations in Plasticity and Nonlinear Elasticity. II, Room 405 9:00- 9:20 (1 00) Flexural instabilities of elastic rods. Preliminary report. Professor P. PODIO-GUI DUGLI, Carnegie-Mellon University (776-C17) 9:25- 9:45 (1 01) A thermodynamic formulation of unified elastic-plastic constitutive equations. Professor BARRY BERNSTEIN, Illinois Institute of Technology {776-C8) 9:50-10:10 (1 02) Lax's shock stability condition and the Clausius-Duhem inequality in thermoelasticity. C. M. DAFERMOS, Brown University (776-C3) 10:15-10:35 (103) The morphology and stability of material phases. J. ERNEST DUNN*, Virginia Polytechnic Institute and State University, and R. L. FOSDICK, University of Minnesota, Minneapolis (776-C15) (Introduced by Professor David R. Owen) 10:40-11 :00 (1 04) Global bifurcation and stability of compressed and twisted rods. Professor STUART S. ANTMAN*, University of Maryland, College Park, and Professor CHARLES S. KENNEY, California State College, Bakersfield (776-C9)

FRIDAY, 9:00 A. M. Special Session on the Relation of the Fundamental Group to Manifold Theory. II, Room 403 9:00- 9:20 (105) The total surgery obstruction. Professor ANDREW A. RANICKI, Princeton University (776-G3) 9:25- 9:45 (106) Think small to avoid the fundamental group. FRANK QUINN, Virginia Polytechnic Institute and State University {776-G7) 9:50-1 0:1 0 (1 07) Topological classification of linear representations of finite groups of odd order. Preliminary report. Professor WU-CHUNG HSIANG, Princeton University, and Professor WILLIAM PARDON*, Duke University (776-G13) (Introduced by Professor David P. Kraines) 10:15-10:35 (1 08) Extensions offree group actions on spheres. Professor FRANK CONNOLLY*, University of Notre Dame, and Professor ROBERT GEIST, Pembroke State University (776-G19) 10:40-11 :00 (1 09) Finite groups acting on homotopy 3-spheres. MICHAEL W. DAVIS and JOHN W. MORGAN*, Columbia University (776-G20) (Introduced by Professor F. T. Farrell)

FRIDAY, 9:00A.M. General Session, Room 457 9:00- 9:10 (11 0) Note on trigonometric divided differences. Dr. HERBERT E. SALZER, Brooklyn, New York (776-C1) 9:15- 9:25 (111) Doubly proportional representation. Preliminary report. Professor FRANCINE F. ABELES, Kean College of New Jersey (776-C13)

249 9:30- 9:40 (112) Accelerating the convergence of improper integrals. Preliminary report. JOE THRASH, University of Southern Mississippi (776-C16) 9:45- 9:55 (113) Surfaces in Mobius space. Preliminary report. HOWARD JACOBOWITZ, Rutgers University, Camden (776-D6) 10:00-10:10 (114) One-parameter families of surfaces in L3 with zero mean curvature. Preliminary report. LOUISE McNERTNEY, Brown University (776-D10) 10:15-10:25 (115) Tail probabilities of sums of random vectors in Banach spaces and related mixed norms. Professor W. A. WOYCZYNSKI, Cleveland State University (776-F14) 10:30-10:40 (116) On Dantzig: Why mathematics is not the true (i.e., not the only) language of science. Preliminary report. Dr. G. ARTHUR MIHRAM, Haverford, Pennsylvania (776-H1)

FRIDAY, 9:25A.M. Special Session on Probability Theory. Ill, Room 404 9:25- 9:45 (117) Combinatorial structure of certain classes of sets (. . . or: Some special Vapnik­ Cervonenkis classes.) Dr. R. S. WENOCUR, Drexel University (776-F16) 9:50-10:10 (118) Limit theorems for empirical processes. DAVID POLLARD, Yale University (776-F12) 10:15-10:35 (119) Empirical processes of random lines and curves. Preliminary report. Professor J. MICHAEL STEELE, Stanford University (776-F9) (Introduced by Professor Roberta S. Wenocur) 10:40-11 :00 (120) Donsker classes of functions. Preliminary report. R. M. DUD LEY, Massachusetts Institute of Technology (776-F5) 11:05-11 :25 (121) Multivariate relevations and their applications. Preliminary report. Dr. SAMUEL KOTZ*, University of Maryland, College Park, and Dr. NORMAN L. JOHNSON, University of North Carolina, Chapel Hill (776-F13) FRIDAY, 11:10 A.M. Invited Address, Washington Room 11:10-12:10 (122) The Heeke algebra of the affine Weyl group. Professor GEORGE LUSZTIG, Massachusetts Institute of Technology (776-G17) FRIDAY, 1:15 P.M. Invited Address, Washington Room 1:15- 2:15 (123) Degenerate and doubly degenerate Kleinian groups. Professor TROELS JORGENSEN, University of Minnesota and Columbia University (776-B41) FRIDAY, 1:30 P.M. Special Session on Probability Theory. IV, Room 404 1 :30- 4:30 Informal Problem Session: Empirical Processes

FRIDAY, 2:20 P. M. Special Session on Commutative Algebra. Ill, Room 401 2:20- 2:40 (124) Algebra structures on minimal resolutions of Gorenstein rings of embedding codimension four. Professor ANDREW R. KUSTIN*, University of Kansas, Lawrence, and Professor MATTHEW MILLER, University of Tennessee, Knoxville (776-A8) 2:45- 3:05 (125) Gorenstein ideals of grade four. Professor ANDREW R. KUSTI N, University of Kansas, Lawrence, and Professor MATTHEW MILLER*, University of Tennessee, Knoxville (776-A9) FRIDAY, 2:20P.M. Special Session on Infinite Groups. Ill, Room 403 2:20- 2:40 (126) Representing powers as quadratic words in a free group. Professor LEO P. COMERFORD, JR.*, University of Wisconsin, Parkside, and Professor CHARLES C. EDMUNDS, Mount Saint Vincent University (776-A20) 2:45- 3:05 (127) Some new classes of residually finite one-relator groups with torsion. Dr. R. B. J. T. ALLENBY, University of Leeds, England, and Professor F. C. Y. TANG*, University of Waterloo (776-A25)

250 FRIDAY, 2:20P.M. Special Session on Frechet Spaces and Spaces of Holomorphic Functions. IV, Washington 2:20. 2:40 (128) Two problems in distribution theory. Preliminary report. Professor Ml LOS A. DOSTAL, Stevens Institute of Technology (776-B43)

2:45- 3:05 (129) Quadratic pencils and boundedness of orthogonal spline projectors in L 00• Professor BORIS MITYAGIN, Ohio State University, Columbus (776-845) 3:10- 3:30 (130) Spectral mopping of hyponormol and semihyponormol operators. Professor DAOXING XIA, Fudan University, China (776-B40) (Introduced by Professor Boris Mityagin) 3:35- 3:55 (131) A class of operator ideals including the Schotten p-closses and some multiplier relations. Dr. MICHAEL J. HOFFMAN, California Institute of Technology (776-B37) FRIDAY, 2:20 P. M. Session on Analysis, Room 456 2:20. 2:30 (132) Interchanging supremo and integration. JAMES A. BAIN, Jr., University of Delaware (776-B27) 2:35- 2:45 (133) A unified theory of harmonic measures and capac/tory potentials. Professor MAYNARD ARSOVE*, University of Washington, and Dr. HEINZ LEUTWILER, Universitat Erlangen-Niirnberg, Federal Republic of Germany (776-B32) 2:50- 3:00 (134) A duality theorem for uniform approximation. Preliminary report. Professor STANLEY J. POREDA, Jr., Clark University (776-B34) 3:05- 3:15 (135) Asymptotic solutions of a certain third order linear differential equation with an irregular singular point of arbitrary rank. Professor T. K. PUTT ASWAMY, Ball State University (776-835) 3:20. 3:30 (136) Zeros of partial sums of Laurent series. Professor ALBERT EDREI, Syracuse University (776-836) 3:35- 3:45 (137} Compact and Fredholm objects in polar dimension *-semigroups. Preliminary report. Professor KAREN E. ZAK, U. S. Naval Academy (776-B44) FRIDAY, 2:20P.M. Special Session on Differential Equations in Plasticity and Nonlinear Elasticity. Ill, Room 405 2:20- 2:40 (138) Applications of the function spaces BV and BD. Professor Gl LBERT STRANG, Massachusetts Institute of Technology (776-C6) 2:45- 3:05 (139) Cavitation in nonlinear elasticity. Preliminary report. Dr. J. M. BALL, Heriot-Watt University, Scotland (776-C5) (Introduced by Professor David R. Owen) 3:1 Q. 3:30 (140) Solutions of Saint- Venant's problem for slender prisms. Preliminary report. Professor ROBERT MUNCASTER, University of Illinois, Urbana-Champaign (776-C7) (Introduced by Professor T. W. Ting) FRIDAY, 2:20P.M. Special Session on Differential Geometry. Ill, Room 406 2:20- 2:40 (141) On the harmonic maps from 2-dimensional space-time to Riemannian manifolds. Professor CHAOHAO GU, Fudan University, China, and State University of New York, Stony Brook (776-GB) 2:45- 3:05 (142) On flat Lorentz surfaces in Hf. Preliminary report. Professor KATSUMI NOMIZU, Brown University (776-D7) 3:10- 3:30 (143) Closed minimal surfaces in hyperbolic 3-monifolds. Professor KAREN K. UHLENBECK, Institute for Advanced Study (776-012) FRIDAY, 2:20 P. M. Session on Algebra and Topology, Room 457 2:20- 2:30 (144) On the diophantine equation f(x,y) = 0. Dr. HOWARD KLEIMAN, Queensborough Community College, City University of New York (776-A 1) 2:35- 2:45 (145) A theorem on nilpotent products of cyclic groups. Preliminary report. Professor ANTHONY M. GAGLIONE, U. S. Naval Academy (776-A21) 2:50. 3:00 (146) Composition of quadratic forms and jordan triple systems. Preliminary report. Dr. JOANN S. TURISCO, U. S. Naval Academy (776-A23)

251 3:05- 3:15 {147) Calculating invariants of inseparable field extensions. Professor JAMES K. DEVENEY*, Virginia Commonwealth University, and Professor JOHN N. MORDESON, Creighton University {776-A24) 3:20- 3:30 (148) The Eulerian umbra/ algebra. Dr. WILLIAM R. ALLAWAY*, Lakehead University, and Dr. M. E. H. ISMAIL, Arizona State University {776-A38) 3:35- 3:45 (149) Witt spaces: A geometric cycle theory for ko* ® Z [Y2]. Preliminary report. Dr. PAUL H. SIEGEL, New York University, Courant Institute of Mathematical Sciences {776-G1) 3:50- 4:00 (150) Reassembly methods and the genus of links. Preliminary report. Professor CHARLES H. GOLDBERG, Columbia University {776-G11) 4:05- 4:15 (151) Mappings of inverse limits revisited Preliminary report. Dr. GARY A. FEUERBACHER, Texaco Inc., Bellarie, Texas {776-G12) 4:20- 4:30 (152) Morse theory and the Poincare conjecture. Dr. GEORGE M. RASSIAS, Harvard University (776-G14) 4:35- 4:45 (153) On Plateau's problem and a generalization of the Riemann mapping theorem. Dr. THEMISTOCLES M. RASSIAS, Harvard University {776-G15) Raymond G. Ayoub University Park, Pennsylvania Associate Secretary

Organizers and Topics Maxwell 0. Reade Univalent functions: recent developments of Special Sessions B. David Saunders Closed-form solutions of differential equations Names of organizers of special sessions to be obtained by computer held at meetings of the Society are listed below, Stephen B. Seidman along with the topic of the session. Most of the Applications of mathematics to anthropology papers presented at special sessions arc by invitation. and sociology Other papers will be considered at the request of the Alberto Torchinsky author provided that this is indicated clearly on the Hardy spaces and harmonic analysis abstract form and it is submitted by the deadlines joseph L. Ullman given below. These deadlines are usually three Orthogonal polynomials and other extremal weeks earlier than the normal abstract deadlines for polynomials meetings. Papers not selected for special sessions will automatically be considered for regular sessions unless the author gives specific instructions to the contrary. Invited Speakers April Meeting in Ellensburg at AMS Meetings No special sessions planned The individuals listed below have accepted in­ Summer Meeting in Ann Arbor vitations to address the Society at the times and Deadline: May 73 places listed. For some meetings, the lists of speak­ ers are incomplete. Andreas R. Blass Tapas theory Bruce C. Berndt Ellensburg, Washington, june 1980 Analytic number theory David G. Cantor Lamberto Cesari Current trends in nonlinear analysis Ann Arbor, Michigan, August 1980 Pao-Liu Chow Dan Burghelea Jack C. Kiefer Stochastic analysis Ciprian Foias Michael E. O'Nan David L. Colton Howard Garland julia B. Robinson Mathematical methods in wave propagation Heini Halberstam (Colloquium Lecturer) Martin D. Davis Robert P. Kaufman jacobus H. Van Lint Models of arithmetic Vera S. Pless Codes, groups, and designs Kenosha, Wisconsin, October 1980 George B. Purdy Igor Dolgachev Vera S. Pless Extremal problems in combinatorial geometry Stephen C. Kleene Peter B. Shalen

252 DAVIS, April 25-26, 1980, University of California Program for the 777th Meeting The seven hundred seventy-seventh meeting of terized as a program in which students are guided the American Mathematical Society will be held at through the decision-making process. A couple of the University of California, Davis, California, on the special session speakers will be discussing Guided Friday and Saturday, April 25 and 26, 1980. The Design in mathematics. meeting will be held jointly with the Northern Cali­ Semigroups and their connection with other fornia section of the Society for Industrial and fields, TAKAYUKI TAMURA. The speakers are Applied Mathematics {SIAM). Karl E. Byleen, Isadore Fleischer, Pierre A. Grillet, jin Bai Kim, Naoki Kimura, Gerard j. Lallement, Invited Addresses john K. Luedeman, Kenneth D. Magill, Jr., Stuart By invitation of the Committee to Select Hour W. Margolis, Carlton j. Maxson, Donald D. McAlister, Speakers for Far Western Sectional Meetings, there john C. Meakin, Donald W. Miller, William R. Nico, will be two invited one-hour addresses. JAMES P. Mohan S. Putcha, Motupalli Satyanarayana, Boris M. LIN of the University of California, San Diego, will Schein, Howard Straubing, Edward j. Tully, jr., and speak on The topology of finite H-spaces. MARION john Zeleznikow. ORTON of Schlumberger-Doll Research Center will There will also be sessions for contributed ten­ lecture on Caustics-their structure and usefulness minute papers. Late papers will be accepted for in acoustic transmission and sonar testing. presentation at the meeting, but will not be listed in the printed program. Special Sessions By invitation of the same committee, there will Registration be six special sessions of selected papers. The topics Registration will be held in Kerr Hall in Room and the names of the organizers {who are all at the 551 on Friday and in Room 693 on Saturday. The University of California, Davis) are as follows: registration desk will be open from 1 :00 p.m. to Differential equations in engineering, DALLAS 3:00 p.m. on Friday, and from 9:00 a.m. to 11:30 0. BANKS. The speakers are Suhrit Kumar Dey, a.m. and 1 :00 p.m. to 2:00 p.m. on Saturday. Omar Hijab, Cornelius 0. Horgan, Frederick A. Registration fees will be $3 for members of AMS or Howes, Anil K. Jain, AI Kelley, Robert E. O'Malley, SIAM; $5 for nonmembers; and $1 for students and Jr., john C. Neu, Milton Van Dyke, and Stephen unemployed persons. Whitaker. Combinatorial geometry and convex sets, DAVID Accommodations W. BARNETTE and GULBANK D. CHAKERIAN. The following motels are located in Davis, Cali­ The speakers will be Ralph Alexander, Marilyn Breen, fornia, zip code 95616. Participants should make William j. Firey, jacob Eli Goodman, Helmut reservations directly with the motel or hotel and Groemer, Branko Griinbaum, Victor Klee, john R. should mention the mathematics meeting. Some Reay, john E. Wetzel, and joerg M. Wills. rooms are being held at the Yolano Welcome Inn Topological measure theory, WASHEK F. and Motel 6; reservations must be received by PFEFFER. The speakers will be Gerald A. Beer, April 10. Alexandra Bellow, Eric K. van Douwen, Richard j. Gardner, Gary F. Gruenhage, Donald G. Hartig, R. University Lodge (one block from campus) Daniel Mauldin, Karel L. Prikry, M. M. Rao, Elias 123 B Street Saab, Dennis Sentilles, and Robert F. Wheeler. Telephone: 916-7 56-7890 Applications of mathematics in biology and Single $22 up Double $26.40 up (tax included) ecology, RICHARD E. PLANT. The list of speakers includes Stavros N. Busenberg, j. M. Cushing, Marcus Yolano Welcome Inn (three blocks from campus) Feldman, Rodney D. Gentry, Harold M. Hastings, 221 D Street james P. Keener, Bingxi Li, Marc Mangel, Robert M. Telephone: 916-756-1040 Miura, john M. Rinzel, and Henry C. Tuckwell. Single $22 up Double $24 up (plus tax) Mathematics education, EVELYN MARIE SILVIA. The speakers will be Wilson Brumley, james R. Motel 6 (three miles from campus) Diederich, jerry Goldman, Leon A. Henkin, David E. 4836 Chiles Road Logothetti, F. Reif, Elaine K. Rooney, jane R. Telephone: 916-756-6662 Sanguine-Yager, Alan H. Schoenfeld, jean S. Simutis, Single $10.95 Double $15.35 (tax included) julian Weissglass, and Margariete Montague Wheeler. (no personal checks or credit cards accepted) Professor Charles Wales of West Virginia University is scheduled to speak about Guided Design on Friday Tennis Club Hotel (2.5 miles from campus) at 7:30 p.m. His presentation is university sponsored 4120 Chiles Road in cooperation with the special session on Mathe­ Telephone: 916-756-2200 matics Education. Guided Design can be charac- Single $28 up Double $33 up (plus tax)

253 Lunch will be available at the Dining Commons Davis is served by Amtrack (toll free number in the Memorial Union Building on Friday, but on 800-648-3850) and by Greyhound Bus Lines. Uni­ Saturday participants must obtain noon meals else­ tran Bus Service serves the city of Davis and Re­ where. A list of downtown restaurants will be pro­ gional Transit provides service to the Sacramento vided at the meeting. area. There is also the Davis-Dixon Yellow Cab A no-host cocktail party will be held at the Company, but it only operates Monday through Faculty Club on campus from 5:00 to 7:00 p.m. on Friday, from 8:00 a.m. to 5:00 p.m. Friday. To reach the campus from Interstate 80, take Travel the Davis exit and turn left on 1st Street. At the Sacramento Metropolitan Airport is served by end of 1st Street, turn right onto A Street. Lot #12 several airlines, including Air California, Hughes Air­ is three blocks up A Street on the left. On west, Pacific Southwest (PSA), United, and Western. Friday the parking fee will be 50¢, for which two Transportation to and from the airport is available quarters in change are required. from University Limousine (not affiliated with the To reach the campus from Highway 113, exit university}; their telephone number is 756-2780 and onto Russell Boulevard, follow Russell Boulevard to reservations are required. The usual stop is Yolano C Street and turn right. Take C Street to 2nd Street Welcome Inn and the cost is $6. People may be and turn right. Take 2nd Street to A Street and turn picked up at other hotels or individual addresses for right again. Lot #12 is one block up A Street on an extra $1 per person. the left.

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 wi'll be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the April 1980 issue or Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses follow­ ing the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

FRIDAY, 9:30 A. M. Special Session on Semigroups and Their Connection with Other Fields. I, MU II. Memorial Union 9:30- 9:50 ( 1) Centralizer near-rings determined by completing regular inverse semigroups. Professors CARLTON J. MAXSON* and KIRBY C. SMITH, Texas A & M University (777-A1) 10:00-10:20 ( 2) Semigroup methods in semiring theory. Professor ARI F KAYA, Middle East Technical University, Turkey, and Professor M. SATYANARAYANA*, Bowling Green State University (777-A9) 10:30-10:50 ( 3) Kernels of homomorphisms in semirings. Professor EDWARD J. TULLY, University of California, Davis (777-A 1 0) 11 :00-11 :20 ( 4) Orthodox semigroups and rings. Professor JOHN ZELEZNI KOW, Northern Illinois University (777-A2)

FRIDAY, 1:00 P.M. Special Session on Combinatorial Geometry and Convex Sets. I, Mee Room, Memorial Union 1 :00- 1 :20 ( 5) The complexity of d-dimensional Voronoi diagrams. Professor VICTOR KLEE, University of Washington, Seattle (777-Dl} 1:30- 1:50 ( ~) Problems related to the theorems of Kirszbraun and Valentine. Preliminary report. Professor RALPH ALEXANDER*, University of Illinois, Urbana-Champaign (777-012) 2:00- 2:20 ( 7) The probability that one convex set covers another when they meet. Preliminary report. WILLIAM J. FIREY, Oregon State University (777-011) 2:30- 2:50 ( 8) On manifolds in the 2-skeleton of convex polytopes. Preliminary report. Professor JOERG M. WILLS, University of Siegen, Federal Republic of Germany (777-D6)

FRIDAY, 1:00 P.M. Special Session on Topological Measure Theory. I, 693 Kerr Hall 1 :00- 1 :20 ( 9) A regular representation theorem for projective systems of measures. Professor M. M. RAO, University of California, Riverside (777-B8) 1 :30- 1:50 (1 0) Some examples arising in the context of "lifting compact" spaces. Professor ALEXANDRA BELLOW, Northwestern University (777-B2)

254 2:00- 3:00 (11) The regularity of Borel measures. Dr. RICHARD J. GARDNER, Auburn University, Auburn (777-819) (Introduced by Professor Washek F. Pfeffer) 3:30- 3:50 (12) Weak and pointwise compactness in the space of continuous functions. Preliminary report. Dr. ROBERT F. WHEELER, Northern Illinois University (777-83) 4:00- 4:20 (13) Finite Borel measures on spaces of cardinality less than c. R. J. GARDNER and G. GRUENHAGE*, Auburn University, Auburn (777-G2)

FRIDAY, 1:00 P.M. Special Session on Applications of Mathematics in Biology and Ecology. I, South Room, Memorial Union 1 :00- 1 :20 (14) Two-species competition in a periodic environment. Preliminary report. Professor J. M. CUSHING, University of Arizona (777-C4) 1 :30- 1 :50 (15) Some population models with interaction between seasonal and nonlinear oscillations. Preliminary report. Professor STAVROS N. BUSENBERG, Harvey Mudd College (777-C9) 2:00- 2:20 (16) Modeling global tritium distribution and dose estimation. RODNEY D. GENTRY, University of Guelph and Oak Ridge National Laboratory (777-CS) 2:30- 2:50 (17) On cardiac arrhythmias. Professor JAMES P. KEENER, University of Utah (777-C14) 3:00- 3:20 (18) Multidimensional diffusions in the theory of nerve excitation. Dr. HENRY C. TUCKWELL, University of California, Los Angeles (777-C12) 3:30- 3:50 (19) A mathematical model for nonlinear waves of spreading cortical depression. Professor ROBERT M. MIURA, University of British Columbia (777-C11) 4:00- 4:20 (20) Kinematics for nerve impulse propagation. Professor JOHN M. RINZEL, National Institutes of Health, Bethesda (777-C13)

FRIDAY, 1:00 P.M. Special Session on Semigroups and Their Connection with Other Fields. II, MU II, Memorial Union 1:00- 1:20 (21) Symmetry classes of tensors via semigroup operands. Dr. lSI DORE FLEISCHER, University of Waterloo (777-A8) (Introduced by Professor L. J. Cummings) 1:30- 1:50 (22) Green's relations for semigroups of continuous selfmaps. Preliminary report. Professor KENNETH D. MAGILL, State University of New York, Buffalo (777-A11) 2:00- 2:20 (23) Applications of the Rees construction. Dr. KARL BYLEEN, Marquette University (777-A21) 2:30- 2:50 (24) On bi-groupoids. Preliminary report. Professor NAOKI KIMURA, University of Arkansas, Fayetteville (777-A22) 3:00- 3:20 (25) The partially ordered set of /-classes of a semigroup. Professor JOHN C. MEAKIN, University of Nebraska, Lincoln (777-A7) 3:30- 3:50 (26) Universality, wreath products, and extensions. Professor WILLIAM R. NICO, Tulane University (777-A 13) 4:00- 4:20 (27) Commutative semigroup cohomology. PIERRE A. GRILLET, Tulane University (777-A23)

FRIDAY, 2:30P.M. Special Session on Mathematics Education. I, North Room, Memorial Union 2:30- 2:50 (28) Second-story problems. Preliminary report. Dr. JEAN S. 51 MUTIS, Alma College (777-H6) 3:00- 3:50 (29) Cognitive mechanisms facilitating human problem solving: Examples from physics and some educational implications. Professor F. REI F, University of California, Berkeley (777-H3) (Introduced by Professor J. R. Diederich) 4:00- 4:50 (30) Recent advances in mathematics education, or, "My Goodness: is there hope at last?" Professor ALAN H. SCHOENFELD, Hamilton College (777-H1 0)

FRIDAY, 3:45 P.M. Session on Analysis. Mee Room, Memorial Union 3:45- 3:55 (31) Differential equations which do not satisfy a Lipschitz condition. Preliminary report. MYREN KROM, California State University, Sacramento (777-820) 4:00- 4:10 (32) On a complete solution of the nonlinear ODE Dy = sin xy. Preliminary report. Professor S. VERMA, University of Nevada, Las Vegas (777-B17) (Introduced by Professor L. J. Simonoff) 4:15- 4:25 (33) A Sturm theorem for partial differential equations of mixed type. Preliminary report. Professor KURT KREITH, University of California, Davis (777-84)

255 4:30- 4:40 (34) On the inverse spectral theory of the 3-body Schrodinger operator. Preliminary report. Professor JOHN B. BUTLER, Portland State University (777-Bl) 4:45- 4:55 (35) Decay of parabolic conservation laws. Professor MARIA SCHONBEK, Virginia Polytechnic Institute & State University (777-B5)

FRIDAY, 7:30P.M. Special Session on Mathematics Education. II, 693 Kerr Hall 7:30- 8:30 Guided design. Professor CHARLES WALES, West Virginia University

SATURDAY, 8:00A.M. Special Session on Differential Equations in Engineering. I, 105 Wellman Hall 8:00· 8:20 (36) Perturbed iterative solution of coupled nonlinear ordinary differential equations with applications to fluid dynamics. Professor SUHRIT K. DEY, Eastern Illinois University (777-C2) 8:30- 8:50 (37) On the origin of some unusual partial differential equations. Preliminary report. Professor STEPHEN WHITAKER, University of California, Davis (777-812) (lntro· duced by Professor Dallas 0. Banks) 9:00- 9:20 (38) On a class of quasillnear elliptic partial differential equations arising In finite elasticity. Preliminary report. Professor CORNELIUS 0. HORGAN, Michigan State University (777 -Bl 0) 9:30- 9:50 (39) Solution of boundary value problems and Rlccatl equations via the fast Fourier trans­ form. Professor ANIL K. JAIN, Signal and Image Processing Laboratory, University of California, Davis (777-C7) (Introduced by Professor Dallas 0. Banks) 10:00-10:20 (40) Computational aspects of resonant Hamiltonian systems. Preliminary report. Professor RICHARD CUSHMAN, Rijksuniversiteit Utrecht, Netherlands, and Professor AL KELLEY*, University of California, Santa Cruz (777-B22)

SATURDAY, 8:30A.M. General Session. 103 Wellman Hall 8:30- 8:40 (41) Pursuit on a cyclic graph-the symmetric stochastic case. Dr. WILLIAM H. RUCKLE, Clemson University (777-C6) 8:45- 8:55 (42) The range of convolution operators. Preliminary report. ROBERT A. BEKES, Univer­ sity of California, Berkeley (777-B16) (Introduced by Professor Lester E. Dubins) 9:00- 9:10 (43) A note on overrings of a domain. Preliminary report. Professor NICK VAUGHAN, North Texas State University (777-A20) 9:15- 9:25 (44) Equational definabi/ity of addition in rings. Professor HAZAR ABU-KHUZAM, Petro­ leum University, Saudi Arabia, Professor HISAO TOMINAGA, Okayama University, Japan, and Professor ADI L YAQUB*, University of California, Santa Barbara (777-A 18) 9:30- 9:40 (45) On the problem of Plateau. Dr. THEMISTOCLES M. RASSIAS, Harva~d University (777-G3) 9:45- 9:55 (46) On the Poincare conjecture concerning 3-dimensional manifolds. Dr. GEORGE M. RASSIAS, Harvard University (777-G4) 10:00-10:10 (47) A new generalization of Fermat's last theorem (FL T) with some geometric implications. Dr. C. MUSES, Education Offices, Research Center for Mathematics and Morphology, Santa Barbara (777-D5) (Introduced by K. Demys)

SATURDAY, 8:30A.M. Special Session on Topological Measure Theory. II, 26 Wellman Hall 8:30- 8:50 (48) Applications of measure to topology. ERICK. VAN DOUWEN, Institute for Medicine and Mathematics, Ohio University, Athens (777-Gl) 9:00- 9:20 (49) A Baire category dual of convergence in measure. Preliminary report. Professor GERALD A. BEER, California State University, Los Angeles (777-815) 9:30- 9:50 (50) Decomposition of weakly measurable functions. Preliminary report. Professor DENNIS SENTI LLES, University of Missouri, Columbia (777-B21) 10:00-10:20 (51) The Riesz Representation Theorem revisited. Professor DONALD G. HARTIG, Califor­ nia Polytechnic State University (777-Bll)

256 SATURDAY, 8:30A.M. Special Session on Applications of Mathematics in Biology and Ecology. II, 107 Wellman Hall 8:30- 8:50 (52) Search and optimal harvest for schools of . Preliminary report. Dr. MARC MANGEL, Center for Naval Analyses, Alexandria, Virginia (777-C1) 9:00- 9:20 (53) Fractal (generalized diffusion) models for vegetation distribution in the Okefenokee swamp. Preliminary report. Professor HAROLD M. HASTINGS*, STEVEN HECHT, RICHARD MONTICCIOLO, RICHARD PELKENEY, and DAVID VUNKANNON, Hofstra University (777-CS) 9:30- 9:50 (54) Uniqueness of a limit cycle for a competing predators system. Professor BINGXI Ll, University of California, Los Angeles (777-B6) (Introduced by Professor Earl A. Coddington) 10:00-10:20 (55) Some models in population genetics. MARCUS FELDMAN, Stanford University SATURDAY, 8:30A.M. Special Session on Mathematics Education. Ill, 106 Wellman Hall 8:30- 8:50 (56) The cognitive effects of games on mathematics learning. Dr. MARGARIETE MON­ TAGUE WHEELER, Northern Illinois University (777-H1) (Introduced by Professor John G. Christiano) 9:00- 9:20 (57) A course in mathematics and digital electronics. J. R. SANGWINE-YAGER, Saint Mary's College of California (777-H12) (Introduced by Professor Evelyn Marie Silvia) 9:30- 9:50 (58) An alternative to lecturing in large calculus classes. Preliminary report. Professor JIM DIEDERICH, University of California, Davis (777-H5) 10:00-10:20 (59) Cooperative education in mathematics. Professor WILSON BRUMLEY, Colorado State University (777-H9) (Introduced by Professor Evelyn Marie Silvia)

SATURDAY, 8:30A.M. Special Session on Semigroups and Their Connection with Other Fields. Ill, 06 Wellman Hall 8:30- 8:50 (60) Relational morphisms and operations on recognizable sets. HOWARD STRAUBING, Reed College (777-A6) 9:00- 9:20 (61) A generalization of the ideal theorem and semigroups of maximal complexity. Professor STUART W. MARGOLIS, University of Vermont (777-A5) 9:30- 9:50 (62) A covering graph construction of all finite complete biprefix codes. Preliminary report. Professor GERARD LALLEMENT, Pennsylvania State University, University Park (777-A12) 10:00-10:20 (63) Union and symmetry preserving endomorphisms of the semigroup of all fuzzy relations on a set. Professor JIN B. KIM, West Virginia University (777-A14)

SATURDAY, 9:00A.M. Special Session on Combinatorial Geometry and Convex Set~. II, 126 Wellman Hall .. 9:00- 9:20 (64) Classifications of patterns and tilings. f'rofessor BRANKO GRUMBAUM*, University of Washington, Seattle, and Professor G. C. SHEPHARD, University of East Anglia, England (777-D7) 9:30- .9:50 (65) A quantitative version of Krasnosel'skii's theorem in R2 • Preliminary report. Professor MARl LYN BREEN, University of Oklahoma, Norman (777-D3) 10:00-10:20 (66) Permutation sequences and the proof of a conjecture of Burr, Griinbaum, and Sloane. Professor JACOB E. GOODMAN*, City University of New York, City College, and Professor RICHARD POLLACK, New York University, Courant Institute of Mathemat­ ical Sciences (777-D4)

SATURDAY, 10:30 A.M. AMS Invited Address, 2 Wellman Hall 10:30-11:30 (67) The topology of finite H-spaces. Professor JAMES LIN, University of California, San Diego (777-A3)

SATURDAY, 1:30 P.M. AMS Invited Address, 2 Wellman Hall 1:30 (68) Caustics-their structure and usefulness in acoustic transmission and sonar testing. Professor MARION ORTON, Schlumberger-Doll Research Center, Ridgefield, Connecticut

257 SATURDAY, 2:40P.M. Special Session on Differential Equations in Engineering. II, 105 Wellman Hall 2:40- 3:00 (69) Analysis of computer-extended perturbation series In mechanics. Preliminary report. Professor Ml LTON VAN DYKE, Stanford University (777-B9) (Introduced by Professor Dallas 0. Banks) 3:10- 3:30 (70) A nonlinear analysis of interfacial waves. JOHN C. NEU, Stanford University (777-C1 0) 3:40- 4:00 (71) Conditionally stable singular perturbation problems. Preliminary report. Professor ROBERT E. O'MALLEY, JR., Stanford University (777-B13) 4:10- 4:30 (72) Evolution equations in nonlinear filtering. OMAR HI JAB, University of California, Berkeley (777-C3) 4:40- 5:00 (73) Some singularly perturbed nonlinear boundary value problems of elliptic type. Prelim­ inary report. Professor F. A. HOWES, University of California, Davis (777-87)

SATURDAY, 2:40 P. M. Special Session on Combinatorial Geometry and Convex Sets. Ill, 126 Wellman Hall 2:40- 3:00 (74) Some inequalities for arrangements in three-space. Professor G. L. ALEXANDERSON, University of Santa Clara, and Professor JOHN E. WETZEL*, University of Illinois, Urbana-Champaign (777-01 0) 3:10- 3:30 (75) Extremal problems for polytopes inscribed in a convex set. Preliminary report. H. GROEMER, University of Arizona (777-D8) 3:40- 4:00 (76) Open problems around Radon's theorem. Professor JOHN R. REAY, Western Wash­ ington University (777-D9) (Introduced by Professor Gulbank D. Chakerian) SATURDAY, 2:40 P. M. Special Session on Mathematics Education. IV, 106 Wellman Hall 2:40- 3:00 (77) Linguistic aspects of mathematics instruction. Preliminary report. Professor LEON HENKIN, University of California, Berkeley (777-H7) 3:10- 3:30 (78) The guided design method in a liberal arts mathematics course. Professor JERRY GOLDMAN, DePaul University (777-H8) 3:40- 4:00 (79) The Poincare-Hadamard conception of mathematical problem solving. Dr. DAVE LOGOTHETTI, University of Santa Clara (777-H4) (Introduced by Professor Evelyn Marie Silvia) 4:10- 4:30 (80) The effects of discovery learning in mathematics for elementary age children. ELAINE KASIMATIS ROONEY, University of California, Davis (777-H11) 4:40- 5:00 (81) Mathematicians as teachers: Do we dare change the way we teach? Professor JULIAN WEISSGLASS, University of California, Santa Barbara (777-H2)

SATURDAY, 2:40 P. M. Special Session on Semigroups and Their Connection with Other Fields. IV, 06 Wellman Hall 2:40- 3:00 (82) Regular semigroups, fundamental semigroups and groups. Professor DONALD B. McALISTER, Northern Illinois University (777-A 16) 3:10- 3:30 (83) Completely cyclic projective monoids. Professor JOHN K. LUEDEMAN, Clemson University (777-A4) 3:40- 4:00 (84) Semigroups with ubiquitous elements. Professor DONALD W. Ml LLER, University of Nebraska, Lincoln (777 -A 17) 4:10- 4:30 (85) The group of units of a connected algebraic monoid. Professor MOHAN S. PUTCHA, North Carolina State University, Raleigh (777 -A 15) 4:40- 5:00 (86) Boolean-representable semigroups. Preliminary report. Professor BORIS M. SCHEIN, Tulane University (777-A 19)

SATURDAY, 2:40 P. M. Special Session on Topological Measure Theory. Ill, 26 Wellman Hall 2:40- 3:00 (87) Measurable representations of preference orders. Preliminary report. R. DANIEL MAULDIN, North Texas State University (777-818) 3:10- 3:30 (88) Measures on the metric spaces. Preliminary report. Professor KAREL PRIKRY, University of Minnesota, Minneapolis (777-B14) (Introduced by Professor Washek Pfeffer)

258 3:40- 4:00 {89) On measurable projections in Banach spaces. Dr. ELIAS SAAB, University of British Columbia {777-823) 4:10- 5:00 Problem session

Kenneth A. Ross Eugene, Oregon Associate Secretary

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 *Alexander, R. 6 *Hartig, D. G. 51 *Mauldin, R. D. 87 *Sangwine-Yager, J. R. 57 *Beer, G. A. 49 *Hastings, H. M. 53 *Maxson, C. J. 1 *Satyanarayana, M. 2 Bekes, R. A. 42 *Henkin, L. 77 *McAlister, D. B. 82 *Schein, B. M. 86 *Bellow, A. 10 *Hijab, 0. 72 *Meakin, J. C. 25 *Schoenfeld, A. H. 30 *Breen, M. 65 *Horgan, C. 0. 38 *Miller, D. W. 84 *Schonbek, M. 35 *Brumley, W. 59 *Howes, F. A. 73 *Miura, R. M. 19 *Sentilles, D. 50 * Busenberg, S. N. 15 *Jain, A. K. 39 Muses, C. 47 *Simutis, J. S. 28 *Butler, J. B. 34 *Keener, J. P. 17 *Neu, J. C. 70 *Straubing, H. 60 *Byleen, K. 23 *Kelley, A. 40 *Nico, W. R. 26 *Tuckwell, H. C. 18 *Cushing, J. M. 14 *Kim, J. B. 63 *O'Malley, R. E., Jr. 71 *Tully, E. J. 3 *Dey, S. K. 36 *Kimura, N. 24 •Orton, M. 68 *Van Douwen, E. K. 48 *Diederich, J. 58 *Klee, V. 5 *Prikry, K. 88 *Van Dyke, M. 69 *Feldman, M. 55 *Kreith, K. 33 *Putcha, M. S. 85 Vaughan, N. 43 *Firey, W. J. 7 *Krom, M. 31 *Rao, M. M. 9 *Verma, S. 32 *Fleischer, I. 21 *Lallement, G. 62 Rassias, G. M. 46 *Weissglass, J. 81 *Gardner, R. J. 11 *Li, B. 54 Rassias, T. M. 45 *Wetzel, J. E. 74 *Gentry, R. D. 16 •Lin, J. 67 *Reay, J. R. 76 *Wheeler, M. M. 56 *Goldman, J. 78 * Logothetti, D. 79 *Reif, F. 29 *Wheeler, R. F. 12 *Goodman, J. E. 66 *Luedeman, J. K. 83 *Rinzel, J. M. 20 *Whitaker, S. 37 *Grillet, P. A. 27 *Magill, K. D. 22 *Rooney, E. K. 80 *Wills, J. M. 8 *Groemer, H. 75 *Mangel, M. 52 Ruckle, W. H. 41 Yaqub, A. 44 *Gruenhage, G. 13 *Margolis, S. W. 61 *Saab, E. 89 *Zeleznikow, J. 4 *Griinbaum, B. 64

MEMOIRS OF THE THE CLASSIFICATION AND STRUCTURE AMERICAN MATHEMATICAL SOCIETY OF C*-ALGEBRA BUNDLES by Maurice j. Dupre A C*-bundle (p,B,X) is a type of fibre space SEIFERT FIBERED SPACES IN 3-MANIFOLDS p : 8-+ X such that each fibre p·1 (x) is a C*-algebra. by William H. jaco and Peter B. Shalen However p·1 (x) may vary in dimension as x varies in This manuscript presents the combined work X, even when X is connected. We develop a "homo­ of jaco and Shalen on the role played by Seifert topy" type classification theory for C*-bundles hav­ fibered 3-manifolds in the theory of irreducible, ing primarily finite dimensional fibres. A C*{m,n)· orientable, sufficiently-large 3-manifolds. It provides bundle over the pair (X,A) is a C*-bundle (p,B,X) the existence and uniqueness of the characteristic such that p·1 (x) ~ f (em) for x E A and p·1 (x) ~ Seifert manifold. As applications of the main theo· f(cn) otherwise. As a special case our theory shows rems, the authors determine up to homotopy all non· that if X is a compact metric space, c+ X the upper degenerate maps of Seifert fibered spaces into irre· cone of the suspension SX, then the isomorphism ducible, orientable, sufficiently-large 3-manifolds, re· classes of C*(m,n)-bundles over (Sx,c+ X) are one fined versions of the torus-annulus theorems, new one-to-one correspondence with members of results about 3-manifold groups, and a new canonical [X,C*U(m,n)]. where C*U(m,n) is the compact mani· decomposition theorem for irreducible, orientable, fold of injective *·homomorphisms f(cm) -+ f(cn). sufficiently-large 3-manifolds, which in turn provides The lower homotopy of C*U(m,n) is calculated for a new reduction of the classification problem for illustration. The results are applicable to the clas­ such manifolds. sification of C*-algebras. Memoir Number 220, viii + 192 pages Memoir Number 222, x + 77 pages List price $8.00; institutional member $6.00; List price $6.40; institutional member $4.80; individual member $4.00 individual member $3.20 ISBN 0·8218·2220·9; LC 79·18160 ISBN 0·8218·2222·5; LC 79·17975 Publication date: September 5, 1979 Publication date: September 5, 1979 To order, please specify MEM0/2200 To order, please specify MEM0/2220

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

259 Ellensburg, June 20-21, 1980, Central Washington University Second Announcement of the 778th Meeting

The seven hundred seventy-eighth meeting of Plan B at $14.60 per person includes lunch and the American Mathematical Society will be held at lodging June 20, and breakfast June 21. Central Washington University (CWU) in Ellensburg, These rates arc for double occupancy; for single occu­ Washington, on Friday and Saturday, june 20-21, pancy add $3.00 per person per night. The rooms are 1980. The meeting will be held in conjunction with college dormitory rooms, clean and comfortable, but sectional meetings of the Mathematical Association not luxurious. Each room has two single beds, a tele­ of America (MAA) and the Society for Industrial phone, but no television or private bath; all linens and Applied Mathematics (SIAM). All sessions will are provided. The meals arc served cafeteria style take place in Lind Hall, which is located on East according to the following schedule: breakfast 7:00- 8th at Chestnut 8:00 a.m.; lunch 12:00-1:00 p.m. Individuals inter­ Invited Addresses. By invitation of the Com­ ested in these package plans should contact Mrs. mittee to Select Hour Speakers for Far Western Sec­ Everell Purcell at the CWU Conference Center for tional Meetings, an invited one-hour address will be further details and reservation forms. The deadline given by DAVID G. CANTOR of the University of for return of the completed forms is June 10. California, Los Angeles. The title of his talk is On The following motels are located in Ellensburg, some applications of transfinite diameter to number Washington, zip code 98926. The Rcgalodgc and theory. There will also be an hour address sponsored Thunderbird Motel are located approximately 1/2 jointly by the AMS and MAA; the name of the mile from Campus and are the nearest Rates do speaker will be announced in the june issue of the not include the tax and are subject to change by Notices. Major lectures will be presented in Room june. Participants should make reservations directly 101 of Lind Hall. with the motel. There will be sessions for contributed ten-minute Harold's Magic Inn, 601 North Water papers. Abstracts should be sent to the American Telephone: 509-925-4141 Mathematical Society, P. 0. Box 6248, Providence, Single $19-20 3 Doubles $42 Rl 02940, so as to arrive by the deadline of April Double 24-25 2 Bedroom/kitchen 42 21. Late papers will be accepted for presentation Double/twin 27 at the meeting, but will not appear in the printed Holiday Inn, 1700 Canyon Road program. Telephone: 509-925-9801 The MAA speakers will include DONALD W. Single $29.00 Double 33.50 BUSHAW of Washington State University, LARRY RUNYAN of Shoreline Community College, and Regalodge, 6th and Water ALFRED B. WILLCOX, Executive Director of the Telephone: 509-925-3116 MAA. Larry Runyan will speak on Cold calculating Single $16.00 Double/double $22.50 conservation. The MAA program will emphasize Single (2) 21.50 Double/double(4) 26.50 mathematics education and will include a panel dis­ Thunderbird Motel, West 8th cussion on undergraduate teaching. The moderator Telephone: 509-962-9856 will be HOWARD E. ZINK and the participants will Single $20-22 Double/double $27-32 be VERNON R. HOOD, NICKOLA NICKOLOFF, Single (2) 25 2 Queens 29-39 THEODORE WHITE and EDWARD B. WRIGHT. Waits Motel, 205 West 6th The registration desk for the meeting will be located in Lind Hall, and will be open 8:30 a.m. to Telephone: 509-962-9801 noon and 1:00 p.m. to 4:30p.m. on Friday, and Single $16.00 Double (2) $19.50 8:30a.m. to 11:00 a.m. on Saturday. Registration Double 18.50 Double/double 23.00 fees will be $3 for members of AMS, MAA, or A KOA campground is located three miles west SIAM; $5 for nonmembers; and $1 for students and of campus: unemployed persons. KOA Kampground, West Ellensburg Interchange Ellensburg, WA 98926 Telephone: 509-925-9319 Accommodations Participants not reserving university housing Dormitory lodging and meal package plans are with the breakfast and lunch plans, will be given available through the Conference Center, Central directions to nearby campus and local dining facili­ Washington University, Ellensburg, Washington ties. The MAA will sponsor a banquet on Friday 98926, and are as follows: night, in the form of a Western-style barbecue fea­ Plan A at $26.80 per person includes lodging turing roast New York sirloin of beef, which will be june 19; breakfast, lunch and lodging june 20; and served in the Holms Dining Hall patio area. There breakfast june 21. will also be an invited speaker, whose name will

260 be announded later. Advance reservations are re­ and Interstate 90. Public transportation to the city quired, and payment of $10.50 per person (payable is limited, but includes direct Greyhound Bus service, to C. W. U. Conference Center) must reach Mrs. or flights by Hughes Airwest and Cascade Airways Everell Purcell at the Conference Center not later to Yakima, which is 35 miles south on Interstate 82. than June 5. Central Washington University will operate a shuttle Those who have arrived by Thursday evening from Yakima airport to Ellensburg at regular intervals are cordially invited to an open house after 7:00 on Thursday, June 19, and Friday, June 20. Please p.m. at the home of Dale Comstock of the CWU inquire at the Hughes Airwest desk. Persons plan­ Department of Mathematics (now Dean of the Grad­ ning to use this service should advise Mrs. Evcrell uate School and Research), located at 106 North Mt. Purcell of the Conference Center about their travel Daniels Drive in Grasslands subdivision. Directions arrangements, including the date, flight number, and may be obtained at the CWU Conference Center in arrival time. Courson Hall on East 8th Avenue. The complete program will appear in the June Notices. Travel Ellensburg is beautifully situated in a hill-rimmed Kenneth A. Ross agricultural valley at the intersection of Interstate 82 Eugene Oregon Associate Secretary

1980 SUMMER RESEARCH INSTITUTE OPERATOR ALGEBRAS AND APPLICATIONS Queen's University, Kingston, Ontario, july 14-A ugust 2, 1980

The twenty-eighth Summer Research Institute Housing accommodations for those attending the sponsored by the American Mathematical Society institute will be provided in a residence hall on the will be devoted to operator algebras and applications, campus, and meals will be served in a nearby dining and will take place at Queen's University, Kingston, hall. The daily room and board rate will amount to Ontario, Canada for a period of three weeks from approximately $25 per person for each day of July 14 to August 2, 1980. The Organizing Committee attendance at the institute. In the early spring a consists of Ronald G. Douglas, Edward G. Effros, Brochure of Information will be available, which will Richard V. Kadison (chairman), Robert T. Powers, include details about the program, firm room and Lajos Pukanszky, and E. James Woods. It is antici­ board rates, physical facilities, and a reservation form pated that the institute will be supported by a grant for accommodations in the residence hall. Each par­ from the National Science Foundation. ticipant will also pay a registration fee of approxi­ The institute will serve as the first all-inclusive mately $20 to cover the costs for refreshments served conference on algebras of operators (C* and von at breaks, and for social activities. Neumann algebras) and their applications (to quantum Funds for participants will be limited, since broad physics, representations of groups, ergodic theory, attendance is desired and likely. It is hoped that geometry, and K-theory, among others) since the many prospective participants will be able to provide conference at Louisiana State University in 1967. their own support; however, those wishing to take Great strides have been taken since that 1967 con­ part in the institute and/or be considered for financial ference, and, in part, because of it. The main pur­ assistance should write to the Meeting Arrangements pose of the 1980 institute is to assess that progress Department, American Mathematical Society, P.O. and to set new directions. Particular aspects of the Box 6248, Providence, Rhode Island 02940, before central subject and applications will be treated on April 22, 1980. A panel drawn from the institute's consecutive days so that prospective participants with scientific leadership will then consider these requests, special interests may think in terms of a limited and applicants will be informed of its decision shortly period of attendance if other commitments conflict. thereafter.

261 ANN ARBOR MEETINGS, August 18-22, 1980 First Announcement

The August 1980 Joint Mathematics Meetings, 84TH SUMMER MEETING OF THE AMS including the 84th summer meeting of the AMS, the August 19-22, 1980 60th summer meeting of the Mathematical Associa­ tion of America, the 1980 annual meeting of the Institute of Mathematical Statistics, and the 1980 Colloquium Lectures. There will be one series annual meeting of Pi Mu Epsilon, will be held Aug­ of four Colloquium Lectures presented by Julia B. ust 18-22, 1980, at the University of Michigan, Ann Robinson of the University of California, Berkeley. Arbor. The title of the lecture series will be announced in The members of the Local Arrangements Com­ the June issue of the Notices. The lectures will be mittee are Paul T. Bateman (ex officio), Morton given at 1 :00 p.m. on Tuesday, August 19; and at Brown, Frederick W. Gehring, George E. Hay, Mar­ 8:45a.m. on Wednesday, Thursday, and Friday, shall D. Hestenes, Melvin Hochster, Fred Hoppe, Paul August 20-22. Howard, PhillipS. Jones, Wilfred Kaplan, Wilfred M. 1980 LeRoy P. Steele Prizes. The Steele Prizes Kincaid, William J. LeVeque (ex officio), Judith Q. will be awarded at a session at 4:00 p.m. on Thurs­ Longyear, M.S. Ramanujan, Ethel Rathbun, Marjorie day, August 21 . D. Reade, Maxwell 0. Reade (chairman), David P. Roselle (ex officio), Joseph L. Ullman, and James G. AMS Invited Addresses Wendel (publicity director). By invitation of the Program Committee, there WHERE TO FIND IT PAGE will be eight invited one-hour addresses. The speak­ SUMMER MEETING OF AMS 262 ers are as follows: DAN BURGHELEA, Ohio State University; Colloquium Lectures, Steele Prizes, CIPRIAN FOIAS, Indiana University; Invited Addresses, Special Sessions, HOWARD GARLAND, Yale University; HEINl Contributed Papers, Council and Business HALBER­ STAM, University of Nottingham; ROBERT Meetings, Committee on Employment and P. KAUFMAN, Educational Policy, Short Course University of Illinois at Urbana-Cham­ paign; JACK C. KIEFER, University of California, PREREGISTRATION AND HOUSING 263 Berkeley; MICHAEL E. O'NAN, Rutgers University; TIMET ABLE 265 and JACOBUS H. VAN LINT, Technical University of Eindhoven. The titles and times of these lec­ OTHER ORGANIZATIONS 266 tures will be announced in the June issue of the MAA, IMS, llME, AWM, MAG Notices. Professor Kiefer's address will be jointly OTHER EVENTS 266 sponsored by the Institute of Mathematical Statis­ Summer List of Applicants, Exhibits, tics. AMS Book Sale, MR Open House AMS Special Sessions CAMPUS MAP 268 By invitation of the same committee, there will INFORMATION FOR PARTICIPANTS 269 be thirteen special sessions of selected twenty­ Registration at Meeting, Mail and minute papers. Telephone Messages, University Housing, The titles of these special sessions and the Campus Food Services, Hotel Accommodations names of the mathematicians arranging them are as follows: MISCELLANEOUS INFORMATION 271 ANDREAS R. BLASS, University of Michigan, Camping, Athletic Facilities, Book Stores, Ann Arbor, Topos theory; BRUCE C. BERNDT, Child Care, Crib Rental, Entertainment, University of Illinois at Urbana-Champaign, Analytic Libraries, Local Information, Medical number theory; LAMBERTO CESARI, University Services, Parking, Travel, Weather, Area Map of Michigan, Ann Arbor, Current trends in nonlinear analysis; PAO-LIU CHOW, Wayne State University, DEADLINES Stochastic analysis (jointly sponsored by the Insti­ tute of Mathematical Abstracts for consideration Statistics); DAVID L. COL­ TON, University of Delaware, Mathematical for special sessions May 13 methods in wave propagation; MARTIN Abstracts, contributed papers D. DAVIS, Courant June 3 Institute Summer List of Applicants of Mathematical Sciences, New York Uni­ July 3 versity, Preregistration and housing Models of arithmetic; VERAS. PLESS, Uni­ July 3 versity of Illinois Preregistration cancellations at Chicago Circle, Codes, groups, and designs; GEORGE B. PURDY, Texas A & (SO% refund) August 15 M University, Extremal problems in combinatorial geometry; MAXWELL 0. READE, University of

262 PREREGISTRATION AND HOUSING

Preregistration. Preregistration for these meet­ To be included in the list, applicants should com­ ings MUST BE COMPLETED by July 3, 1980. All plete the special applicant preregistration form found those wishing to preregister must complete the form at the back of this issue of the Notices. The com­ which appears at the back of this issue of the pleted form should be submitted with the meeting pre­ Notices and submit it along with the appropriate registration form. The deadline for receipt of appli­ fee(s) to the Mathematics Meetings Housing Bureau cant forms is the same as for preregistration for the in Providence by July 3. Joint Meetings (July 3, 1980). See the section on Other Events of Interest for more details. Preregistration fees. Preregistration fees do not represent an advance deposit for lodgings. One must, Mathematics Meetings Housing Bureau. The however, preregister for the meetings in order to ob· form for requesting accommodations will be found tain confirmed hotel or university accommodations at the back of this issue of the Notices. The use of through the Mathematics Meetings Housing Bureau, the services offered by the Mathematics Housing as outlined in the column to the right. Please note Bureau requires preregistration for the meetings. that separate fees and checks are required for the Persons desiring confirmed hotel or university accom­ Joint Mathematics Meetings and MAA Minicourse. modations should complete the form, or a reason­ Checks for the former should be made payable to able facsimile, and send it to the Mathematics Meet­ the Society, and for the latter to the MAA. Those ings Housing Bureau, P.O. Box 6887, Providence, who preregister for the Joint Mathematics Meetings Rhode Island 02940, so that it will arrive no later pay lower fees than those who register at the meet­ than July 3, 1980. ings. The preregistration fees are as follows: Please note that there are separate sections on the form for requesting residence hall housing, hotel )OINT MATHEMATICS MEETINGS accommodations, or rooms in the Michigan League Member of AMS, IMS, MAA, llME $28 or Cambridge House (formerly Michigan Union). Nonmember 38 Please read carefully the sections on University Student/Unemployed 5 Housing and Hotel Accommodations before com­ MAA MINICOURSE(S) pleting the form. All participants $15 each Reservations will be made in accordance with preferences indicated on the reservation form, inso­ A $2 charge will be imposed for all invoices pre­ far as this is possible. All residence hall reservations pared when preregistration forms are submitted with­ will be confirmed by the Housing Bureau, all hotel out accompanying check(s) for the preregistration reservations will be confirmed directly by the hotels, fee(s) or are accompanied by an amount insufficient and all reservations at the League and Cambridge to cover the total fee(s). Preregistration forms received House will be confirmed by those facilities. No de­ well before the deadline of July 3, which are not ac­ posit is required for university housing; deposit re­ companied by correct payment, will be returned to quirements will be communicated to participants by the participant with a request for resubmission and the hotels at time of confirmation. DO NOT IN­ full payment. CLUDE PAYMENT FOR YOUR HOUSING WITH A fifty percent refund of the preregistration MEETING PREREGISTRATION FEE(S). All reser­ fee(s) will be made for all cancellations received in vatron requests must be received in writing and pro­ Providence no later than August 15, 1980. No re­ cessed through the Housing Bureau in Providence. funds will be granted for cancellations received after Telephone requests cannot be accepted. that date, or to persons who do not attend the meet­ Participants planning to share accommodations ings. should provide the name of each person with whom Those who preregister for either the Joint Math­ they plan to occupy a room. Each person should, ematics Meetings or MAA Minicourse(s), or both, however, complete a separate preregistration form. will be able to pick up their badges and other mate­ In order to avoid confusion or disappointment, rial in Ann Arbor after 2:00 p.m. on Sunday, August parties planning to share rooms should send in their 17, during the hours the Joint Mathematics Meetings forms together. registration desk is open. Please make all reservation changes with the Housing Bureau in Providence prior to August 15, Summer List of Applicants. The AMS-MAA­ 1980. After that date, changes and cancellations SIAM Committee on Employment Opportunities, for university housing should be telephoned in to which is charged with operation of the Employment the telephone center at the registration desk. The Register and which oversees publication of Employ­ message center will open at 2:00 p.m. on Sunday ment Information in the Mathematical Sciences, will August 17. Cancellations or changes of hotel accom­ publish a summer list of applicants prior to the Ann modations should be made directly with the hotels Arbor meeting in August 1980. after August 15.

263 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 com­ mittee has several possible courses of action on a proposed motion, including but not restricted to (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 Marion B. Pour-EI, David A. Sanchez, Barnet M. Weinstock, and .Guido L. Weiss, with the secretary as chairman. In order that a motion for the Business Meeting of August 21, 1980, 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 21, 1980. Everett Pitcher, Secretary

Michigan, Ann Arbor, Univalent functions: recent Committee on Employment and Educational developments; B. DAVID SAUNDERS, Rensselaer Policy (CEEP). The Society's Committee on Em­ Polytechnic Institute, Mathematical symbolic manip­ ployment and Educational Policy (CEEP) will have ulation on the computer; STEPHEN B. SEIDMAN, an open session at 7:30p.m. on Monday, August George Mason University, Applications of mathe­ 18, where a preliminary report on the 1980 AMS matics to anthropology and sociology; ALBERTO Nonacademic Salary Survey will be presented by TORCHINSKY, Indiana University, Hardy spaces Robert J. Thompson of Sandia National Labora­ and harmonic analysis; and JOSEPH L. ULLMAN, tories, Albuquerque. University of Michigan, Ann Arbor, Orthogonal polynomials and other extremal polynomials. Council Meeting. The Council of the Society will meet at 4:00 p.m. on Tuesday, August 19, in Most of the papers to be presented at these the Michigan League. special sessions will be by invitation; however, any­ one contributing an abstract for the meeting who Business Meeting. The Business Meeting of the feels that his or her paper would be particularly Society will take place at 5:00 p.m. on Thursday, appropriate for one of these sessions should indicate August 21, in the Rackham Lecture Hall. The sec­ this clearly on the abstract, and should submit it by retary notes the following resolution of the Council: May 13, 1980, three weeks earlier than the normal Each person who attends a Business Meeting of the deadline for contributed papers, in order that it may Society shall be willing and able to identify himself be considered for inclusion. as a member of the Society. In further explanation, it is noted that each person who is to vote at a Contributed Papers. There will be sessions for meeting is thereby identifying himself as and claim­ contributed ten-minute papers on Tuesday after­ ing to be a member of the American Mathematical noon, Wednesday morning, Thursday morning, Society. For additional information on the Business Thursday afternoon, Friday morning and Friday Meeting, please refer to the box titled Committee afternoon. Abstracts should be prepared on the on the Agenda for Business Meetings. standard AMS form available from the AMS office in Providence or ih departments of mathematics, and should be sent to the American Mathematical AMS Short Course Series Society, P.O. Box 6248, Providence, Rhode Island The Society's Committee on Employment 02940, so as to arrive by the abstract deadline of and Educational Policy, has sponsored the series june 3, 1980. of Short Courses presented at AMS meetings for the past several years. No Short Course will be Audio-Visual Equipment. Rooms where special presented in conjunction with the summer meet­ sessions and contributed-paper sessions will be held ing in Ann Arbor, but Short Courses are being will be equipped with an overhead projector, screen, planned for the annual and summer meetings in and blackboard. 1981.

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

JOINT MATHEMATICS MEETINGS

SUNDAY, August 17 American Mathematical Society Mathematical Association of America

9:00 a.m. - 4:00 p.m. Board of Governors Meeting 2:00 p. m, - 8:00 p.m. REGISTRATION

MONDAY, August 18 AMS other Organizations

8:00 a.m. - 4:30 p.m. REGISTRATION 8:00 a.m. - 4:30 p.m. AMS Book Sale 9:00 a.m. - 9:50 a.m. MAA - The Earle Raymond Hedrick Lectures Lecture I - George Andrews 10:00 a.m. - 10:50 a.m. MAA - Business Meeting 10:00 a, m. - 11:00 a, m. Institute of Mathematical Statistics Special Invited Paper I 11:15 a.m. - 12:15 p.m. IMS - Special Invited Paper II 1:00 p.m. - 1:50 p.m. MAA - The Earle Raymond Hedrick Lectures Lecture II - George Andrews 1:00 p.m. - 5:00 p.m. EXHIBITS 2:15 p.m. - 3:15 p.m. IMS - Wald Lecture I Robustness -Peter J. Bickel 3:30 p.m. - 5:30 p.m. IMS - Invited Session I 3:30 p.m. - 5:30 p.m. IMS - Contributed Paper Session 7:00 p.m. MAA- Film Program 7:00 p.m. - 10:00 p.m. Pi Mu Epsilon -Reception 7:00 p.m. - 10:00 p.m. IMS- Council Meeting 7:30 p.m. - 9:30 p.m. CEEP- Open Session on 1980 AMS Non­ academic Salary Survey Robert J. Thompson TUESDAY, August 19 AMS other Organizations 8:30a.m. - 4:30p.m. REGISTRATION 8:30 a.m. - 4:30p.m. EXHIBITS 8:30 a.m. - 4:30p.m. AMS Book Sale 9:00 a.m. - 9:50a.m. MAA - The Earle Raymond Hedrick Lectures Lecture III - George Andrews 10:00 a.m. - 12:15 p.m. IMS - Invited Session II 10:00 a.m. - 12:15 p.m. IMS- Contributed Paper Session noon - 1:00 p.m. IDVIE- Council Luncheon 1:00 p.m. - 2:00 p.m. Colloquium Lecture I Julia B. Robinson afternoon Special Sessions Sessions for Contributed Papers 2:15 p.m. - 3:15 p.m. IMS - Wald Lecture II Robustness- Peter J. Bickel 3:00 p.m. - 5:30 p.m. llME - Contributed Paper Session 3:30 p.m. - 5:15 p.m. IMS - Invited Session III 3:30 p.m. - 5:15 p.m. IMS - Contributed Paper Session 4:00p.m. - 10:00 p.m. Council Meeting 5:30 p.m. - 6:30 p.m. IMS - Business Meeting 6:30 p.m. - 8:15 p.m. IDVIE - Banquet 7:00p.m. MAA- Banquet for 25-Year Members 7:00 p.m. MAA- Film Program 8:00p.m. WINE & CHEESE TASTING 8:30 p.m. - 9:30 p.m. IIDVIE - J. Sutherland Frame Lecture

265 ACTIVITIES OF OTHER ORGANIZATIONS Copies of the 1980 summer list will be available The Mathematical Association of America at the Transparency Section of the registration desk {MAA) will hold its 60th summer meeting on August for $1. Following the meeting, they may be pur­ 18-20, Monday-Wednesday. The Business Meeting chased from the Providence office for $1. The list of the MAA will take place at 10:00 a.m. on Mon­ should prove useful to employers who have last min­ day, August 18, at which the Carl B. Allendoerfer, ute openings, later in the summer or in the fall. Lester R. Ford, and George Polya awards will be The applicant resume form, as well as the pre­ presented. A series of three Earle Raymond Hedrick registration form for the Joint Meetings, will also Lectures will be given by George Andrews of Penn­ appear in the May issue of the publication Employ­ sylvania State University. Plans are presently being ment Information in the Mathematical Sciences. made for a banquet for individuals who have been The form includes a coded strip summarizing the members of MAA for twenty-five years or more. the information contained on the applicants' form. More information will be published in the June Please be sure to provide the coded summary in ad­ issue of the Notices. The MAA is also planning dition to completing the resume form to be posted one or more Minicourses; details will be available at the meeting. These strips will be used to prepare at a later date. the printed lists of preregistered applicants. Great care should be taken in preparing the Mathematical Statistics {IMS) The Institute of coded strip as well as the resume form in order to will hold its 1980 annual meeting on August 18-21, assure that the listings are readable. Please study the Monday-Thursday. The 1980 Wald Lectures will be instructions carefully before filling out the form. of California, Berk­ given by P. J. Bickel, University Instead of an Employment Register at the sum­ The three lectures in this se­ eley, on Robustness. mer Meeting in Ann Arbor, there will be an oppor· 2:15 p.m. on Monday-Wednes­ ries will be given at tunity for posting of both applicant and employer day, August 18-20. Special invited papers will be resume forms in or near the main meeting registra­ {title to be announced); T. L. given by B. Mandelbrot tion area. No provisions will be made for inter­ and Lai, Adaptive design in regression and control; views; arrangements will be the responsibility of the Rudy Beran, Differentiable functionals and robust­ employer and the applicant. Messages may be left nonindependent and identically distributed ness: The in the message box located in the registration area. Meeting will take place at case. The I MS Business There will be no special room set aside for inter­ 5:30p.m. on Tuesday, August 19. For a more de­ views. tailed listing of the activities of the IMS, please see Special applicant and employer forms will be the Timetable. available at the Transparency Section of the registra­ Pi Mu Epsilon {llME) will hold its annual meet­ tion desk for both applicants and employers who ing on August 19-20, Tuesday-Wednesday. The wish to post a resume. Employers who do not plan J. Sutherland Frame Lecture will be given at 8:30 to attend, and wish to display literature only, may p.m. on Tuesday, August 19. do so at no charge. This material must, however, The Association for Women in Mathematics be received in the Providence Office {MSER, P.O. {AWM) will present a symposium at 3:00 p.m. on Box 6248, Providence, Rl 02940) no later than Wednesday, August 20, about Anna Johnson Pel! July 3. Information cannot be taken over the tele­ Wheeler, the first woman lecturer in the AMS Collo­ phone, either in Providence after July 3 or at the quium Series. AWM would be interested in hearing meeting. from any of Professor Wheeler's former students, Applicants who submit an applicant form, but who should write to Bettye Anne Case, 2405 Idyllic do not plan to attend the meeting will be listed on Terrace, Tallahassee, Florida 32303. The AWM the printed list only. There is no provision made Business Meeting will take place at 4:00 p.m. on for posting resumes for participants who do not Wednesday, August 20. attend the meeting. The Mathematicians Action Group {MAG) will sponsor a panel discussion on Democracy in the Exhibits. The book and educational media ex­ AMS? at 7:00p.m. on Thursday, August 21. The hibits will be located in the Ballroom of the Michi­ panel will be followed by the MAG Business Meeting gan League, and will be open from 1 :00 p.m. to at 8:00p.m. 5:00p.m. on Monday, August 18; and from 8:30 a.m. to 4:30 p.m. on Tuesday and Wednesday, August 19-20. OTHER EVENTS OF INTEREST Summer List of Applicants. The AMS-MAA· AMS Book Sale. Books published by the AMS SIAM Committee on Employment Opportunities, will be sold for cash prices somewhat below the which is charged with operation of the Employment usual prices when these same books are sold by mail. Register and which oversees publication of Employ­ The book sale will be located in the Ballroom of the ment Information in the Mathematical Sciences, will Michigan League, and will be open from 8:00 a.m. publish a summer list of applicants prior to the Ann to 4:30 p.m., Monday August 18, and 8:30 a.m. to Arbor meeting in August 1980. 4:30 p.m., Tuesday and Wednesday, August 19-20.

266 TIMETABLE

WEDNESDAY, August 20 American Mathematical Society Other Organizations 8:00 a.m. - 9:00 a.m. ImE - Dutch Treat Breakfast 8:30 a.m. - 4:30 p.m. REGJBTRA TION 8:30 a.m. - 4:30 p.m. EXHffiiTS 8:30a.m. - 4:30 p.m. AMS Book Sale 8:45 a.m. - 9:45 a.m. Colloquium. Lecture II Julia B. Robinson morning Special Sessions Sessions for Contributed Papers 9:00 a.m. - 10:30 a.m. liME- Contributed Paper Session 10:00 a.m. - noon IMS - Invited Session IV 10:00 a.m. - noon IMS - Contributed Paper Session 1:00 p.m. - 2:00 p.m. IMS - Special Invited Paper III 2:15 p.m. - 3:15 p.m. IMS - Wald Lecture III Robustness - Peter J. Bickel 3:00 p.m. - 4:00 p.m. Association for Women in Mathematics Panel Discussion - Anna Johnson Pell Wheeler 3:30 p.m. - 5:00 p.m. liME- Contributed Paper Session 3:30p.m. - 5:15p.m. IMS - Invited Session V 3:30 p.m. - 5:15 p.m. IMS- Contributed Paper Session 4:00 p.m. - 5:00 p.m. AWM - Business Meeting 6:30p.m. PICNIC 7:00 p.m. - 10:00 p.m. \IMS - Council Meeting 9:00p.m. BEER PARTY

THURSDAY, August 21 AMS Other Organizations

8:30a.m. - 4:30p.m. REGJBTRATION 8:45 a.m. - 9:45 a.m. Colloquium Lecture III Julia B. Robinson morning Special Sessions Sessions for Contributed Papers 10:00 a.m. - noon IMS - Invited Session VI 10:00 a.m. - noon IMS- Contributed Paper Session afternoon Special Sessions Sessions for Contributed Papers 2:00p.m. - 4:00p.m. MATHEMATICAL REVIEWS- OPEN HOUSE 4:00p.m. - 5:00p.m. Prize Session 5:00p.m. - 6:00p.m. Business Meeting 7:00p.m. - 8:00p.m. Mathematicians Action Group Panel Discussion- Democracy in the AMS? 8:00p.m. - 9:00p.m. MAG - Business Meeting 8:30p.m. CONCERT

FRIDAY, August 22 AMS

8:30 a.m. - 1:30 p.m. ASSJBTANCE & INFORMATION DESK 8:45 a.m. - 9:45 a.m. Colloquium Lecture IV Julia B. Robinson morning and afternoon Special Sessions Sessions for Contributed Papers

267 Campus Inn.

600

76 Plant Service Building 77 Madeline Pound House 78 Power Center for the Performing Arts THE UNIVERSITY OF MICHIGAN 79 President~s Residence Ann Arbor 80 Psychological Clinic CENTRAL CAMPUS ea1 Rackham Building 1 Administration Building 24 David M. Dennison Physics and 52 Lawyers Club 82 Harrison M. Randall Laboratory 2 Afroamerican and African Astronomy Building 53 Literature, Science, and 84 Alexander G. Ruthven Museums Studies Center 25 School of Dentistry Building the Arts Building Building. (Anthropology 3 Alumni Memorial Hall (Museum 26 East Engineering Building 54 Clarence C. Little Science Paleontology, Zoology, and of Art) 27 East Quadrangle (Residential Building Exhibit Museums) .4 James B. Angell Hall College) 55 Alice Crocker Lloyd Hell 85 Institute for Social Research •5 Angell Auditorium Unit 28 Economics Building (Pilot Program) 86 Social Work Center Building 6 Architecture and Design Building 29 School of Education Building •5& Mary Markley Hall 87 South Quadrangle 7 Betsy Barbour House 30 Extension Service Building •57 Mason Hall 88 Stockwell Hall 8 Margaret Bell Pool •31 Fletcher St. Parking Structure 58 Lydia Mendelssohn Theatre 89 Student Activities Building 9 Burton Memorial Tower 32 Henry S. Frieze Building •59 Michigan League 90 Student Publications Building 10 Business Administration Building e34 Harlan Hatcher Graduate Library e&o Cambridge House 91 Tappan Hall 11 Business Administration 35 Haven Hall (Michigan Union) •92 Thayer St. Parking Structure Assembly Hall •36 Health Service Building •&1 Modern Language Building •93 Thompson St. Parking Structure 12 Business Administration Library 38 Hill Auditorium •62 Mosher.Jordan Hall 95 Undergraduate Library •13 Central Campus Recreation e39 Hill St. Parking Structure 63 Museums Annex 96 University Herbarium Building 41 Institute of Human Adjustment 64 Neuroscience Building 98 West Engineering Building 14 Central Energy Plant Counseling Division 65 Helen Newberry Residence 99 West Quadrangle 15 Chemistry Building 42 Hutchins Hall 66 North Hall •1& Church St. Parking Structure 43 International Center 67 North University Building 305 East Medical Center Parking 17 William L. Clements Library of 45 Kellogg Foundation Institute 68 Nursing Annex I Structure Americana 46 Kelsey Museum of Archaeology 69 Observatory 306 Thomas Francis Jr. School of 18 Continuing Education of Women 47 Key Office 71 Parking and Publications Public Health Building 19 John Cook Residence 48 Edward Henry Kraus Natural Building 309 Hospital Personnel and Finance 20 Martha Cook Building Science Building 72 Paton Accounting Center Building 21 Couzens Hall 49 Lane Hall 73 Perry Building 326 Simpson Memorial Institute 22 Samuel Trask Dana Natural 50 Law Library (Legal Research 74 Introductory Psvchology and 333 Henry F. Vaughan Public Health Resources Building Building) Project Outreach Building 23 Dance Building 51 Law Quadrangle 75 College of Pharmacy Building •334 University Hospital

268 Mathematical Reviews Open House. The staff of during the meeting at the registration desk will Mathematical Reviews invites meeting participants to also not be available, such as transparency making, visit the MR offices on Thursday, August 21. The the alphabetical list of participants at the meeting, offices are located at 611 Church Street, one block the mail and personal message box, check cashing, east of the University of Michigan campus. In order etc. There will, however, be a small desk set up in to have an advance count of the number of visitors, the lobby outside Rackham Lecture Hall, where participants are asked to pick up free tickets for the local information will be available and where a staff open house (which will cover various time periods member will provide limited assistance to partici­ between 2:00p.m. and 4:00p.m.) from the MR pants. No registration or cash transactions will be desk, where staff members will be available to ans­ possible at this desk. wer questions regarding MR. This desk will be lo­ Mail and Telephone Messages cated in the registration area and staffed during the hours the registration desk is open. Mail. All mail and telegrams for persons attend­ ing the meetings should be addressed in care of joint Mathematics Meetings, Department of Mathe­ INFORMATION FOR PARTICIPANTS matics, 3220 Angell Hall, University of Michigan, Registration Ann Arbor, Michigan 48109. Mail and telegrams Meeting preregistration and registration fees so addressed may be picked up at the Joint Mathe­ only partially cover expenses of holding meetings. matics Meetings registration desk in the Ballroom of All who do not preregister, but attend the meetings the Michigan League during the hours that desk is in Ann Arbor, are expected to register during the open. hours listed below. The fees for registration at the Telephone Message Center. A telephone mes­ meetings are: sage center will be located in the same area to re· ceive incoming calls for participants. The center will ]OINT MATHEMATICS MEETINGS be open from August 17 through August 21, during Member of AMS, IME, MAA, TIME $30 the same hours as the joint Mathematics Meetings Nonmember 40 registration desk. Messages will be taken and the Student/Unemployed 10 name of any individual for whom a message has been MAA MINICOURSE(S) received will be posted until the message has been All participants $15 each picked up at the message center. The telephone number of the message center will be published in a There will be no extra charge for members of future issue of the Notices. the families of registered participants, except that Participants are advised that it will be extremely all professional mathematicians who wish to attend difficult to get telephone messages to them in the sessions must register independently. residence halls during the meetings, and all con· Students are considered to be only those current· cerned are advised to use the message center, if at ly working toward a degree, who do not receive com· all possible. Messages can, however, be taken at the pensation totaling more than $7,000 from employ· front desk of Mosher-jordan and Markley Halls and ment, fellowships, and scholarships. placed on a message board. The telephone numbers The unemployed status refers to any person cur· of these desks are 313-764-2106 and 313-764-1126. rently unemployed, actively seeking employment, In extreme emergencies, campus security can notify and who is not a student. It is not intended to in· individuals. Their number is 313-763-1131. elude persons who have voluntarily resigned or re­ tired from their latest position. University Housing. Registration dates and location. The Joint Participants desiring confirmed reservations for Mathematics Meetings registration desk will be open on-campus housing must preregister prior to the during the following hours: deadline of july 3, 1980. Rooms may be available for those who do not preregister, but this cannot be ]OINT MATHEMATICS MEETINGS guaranteed. There are several choices of accommo­ Ballroom, Michigan League dations available at the University of Michigan: Sunday, August 17 2:00p.m.- 8:00p.m. Residence Hall Housing. Mosher-Jordan Hall Monday, August 18 8:00a.m.- 4:30 p.m. (62 on the campus map) is air-conditioned; Mary Tuesday, August 19 l Markley Hall (56 on the campus map) is not. All Wednesday, August 20 8:30a.m.- 4:30p.m. families must be housed in Markley. The two com­ Thursday, August 21 plexes are within a three-minute walk of each other ASSISTANCE AND INFORMATION DESK (approximately 200 yards). Accommodations in these halls include breakfast, served daily in Markley Lobby, Rackham Building Hall. The cost of the breakfast is included in the Friday, August 22 8:30 a.m. - 1 :30 p.m. room/cot rates given below. Please note that the joint Mathematics Meetings There is no charge for infants occupying a crib registration desk will not be open on Friday, Aug­ provided by the parents. (The universitv has no ust 22, and that the telephone message center will access to cribs; see the section on Ulb Kental not be in operation. Other services provided for more information.) Cots are available for chil-

269 dren 12 years of age or under. Use of these cots is keys will be issued; one key opens the front door of limited to one cot per double room, and one parent the residence hall, and the other is the room key. or adult must occupy one of the beds in the room Cambridge House (formerly Michigan Union) where a child of 12 or younger sleeps. Any child (60 on the Campus map). Most rooms in Cam­ over 12 years of age must occupy a bed, and will be bridge House have two single beds, are air-condi­ charged the same rate as an adult. Children under tioned, with private bath, telephone, and television 12 may, of course, occupy a bed, provided the set. The rates here, also subject to the four percent adult room rate is paid. The rates for these accom­ state sales tax, are: Single $25; Double $35. A cot modations, including breakfast, are as follows: can be added at an additional cost of $5/day. Par­ With Without ticipal]ts should use the Thompson Street entrance air-conditioning air-conditioning when checking in. The desk is staffed 24 hours Single $18.25 $15.25 daily. When away from the desk, the attendant may be summoned by ringing Double $14.25 per person $12.25 per person the bell. The Cambridge House will accept cash, personal or travelers' checks, Cot $ 7.75 $ 7.75 and Visa or Master Charge. There is free parking for All rates quoted are subject to a four percent state guests staying at Cambridge House. sales tax. All double rooms in Mosher-Jordan and Markley Michigan League (59 on the campus map). A contain two twin beds; double beds are not available. limited number of rooms with two single beds and Participants will share several large communal bath­ private baths are available at the Michigan League. rooms on each floor. The room/cot charge includes All rooms are air-conditioned. The rates here are also linens for the week. Included are two sheets and subject to the four percent state sales tax, and are: blanket, pillow and case. Two fresh towels and one Single $26; Double $32. The League will accept washcloth are provided daily. Each room contains, cash, personal or travelers' checks, but not credit in addition to the beds, two dressers, two desks, two cards. Participants should use the Ingalls Street student chairs, one lounge chair, two lamps, ashtrays, entrance when checking in. The desk is staffed 24 drinking glasses, and soap. Toilet tissue is provided hours daily. When away from the desk, the atten­ in the bathrooms. dant may be summoned by ringing the bell. Laundry centers are located in both residence halls. These are coin-operated, and cost 50¢ for the Campus Food Services washer and 10¢ for the dryer. Ironing boards and Mary Markley Hall. A full-course, hot breakfast irons arc avai !able at the respective front desks. Partic­ will be served daily from Monday, August 18, through ipants must provide their own laundry soap or deter­ Saturday, August 23, in Markley Hall for the partici­ gent. pants staying in the residence halls. Participants not There arc several lounges and reading rooms in staying in the residence halls will not be able to get both buildings, some with television sets. There are breakfast in Markley. The dining room in Markley no telephones in the individual residence hall rooms. will not be open for lunch or dinner. There are There are, however, pay phones in each building in vending machines in both residence halls offering the lobby area. some of the following: pastries, chips, candy, cig­ Consumption of alcoholic beverages by partici­ arettes, soft drinks, milk, and ice cream. These pants is permitted in the residence halls. The legal machines are accessible 24 hours each day, seven drinking age is 21. Pets are not allowed. days each week. Check-in for rooms in either Markley or Masher­ Michigan League. The cafeteria in the League is Jordan will take place at the front desk in the Jor­ not open for breakfast, but there is a snack bar in dan wing of Mosher-Jordan Hall on Observatory the basement where anyone can get breakfast start­ Street. The desk will be open 24 hours daily during ing at 7:15a.m. for approximately $1.50, and lunch the period Sunday through Wednesday, August 17- at a nominal price. The snack bar remains open 20. Thereafter, the desk will be open for check-in until 4:00 p.m. The cafeteria is open for lunch from 9:00 a.m. to 10:00 p.m. daily. Breakfast from 11:30 a.m. to 1:15 p.m. ($1.85 for daily tickets will be issued at housing check-in. special, to about $3 a Ia carte), and for dinner from It will not be possible for participants to occupy 5:00p.m. to 7:15p.m. ($2.25 for daily special, to residence hall rooms prior to Friday, August 15, or about $5 a Ia carte). Also, there is a vending ma­ after noon on Saturday, August 23. If housing re­ chine area in the League where soft drinks, coffee, quests are received for dates before August 1 5 or candy, etc. are available; hours are 7:15a.m. to after August 23, they will be honored for the period 11 :00 p.m. The various food services in the League August 15-22 only. Residence hall reservations do are open to all participants. not require an advance deposit; however, full pay­ ment for rooms at the residence hall must be made Cambridge House (formerly Michigan Union). at check-in time. Cash and personal or travelers' Participants staying in rooms at the Cambridge House checks will be accepted; credit cards will not be hon­ can obtain, at an additional charge, a continental breakfast ored. A key deposit of $5 will be collected at check­ at the University Club in the Michigan Union in, and refunded when the keys are returned. Two complex. This breakfast is served Monday

270 through Friday, from 7:00 a.m. to 10:30 a.m. The stores located on State Street, East University, and Club also serves lunch from 11 :30 a.m. to 1 :30 p.m., South University Avenue, nearby. but no dinner is served. Out-of-town papers, and esoteric literature may Hotel Accommodations be found at the Blue Front, located at the intersec­ tion of South State and Packard, which is about five Blocks of rooms have been set aside for use by blocks from Angell Hall (4 on the campus map). The participants at the Bell Tower Hotel and the Cam­ Blue Front is open from 7:00a.m. to 10:00 p.m. pus Inn. Both hotels are within easy walking dis­ daily. tance of campus; exact locations are shown on the campus map. Participants desiring hotel accommo­ Child Care. The Little Angels Nursery at 2455 dations should so indicate on the housing form at Washtenaw, Ann Arbor, Michigan 48104 (telephone the back of this issue of the Notices, and submit it 313-769-9561) will accept children between the ages to arrive on or before the deadline of july 3, 1980. of two-and-one-half and five-and-one-half, Monday Confirmations will be sent by the hotels, and par­ through Friday, from 7:15a.m. to 5:30p.m. Rates ticipants will be advised of deposit requirements at are $1.50 per hour for one child, or $2 per hour for time of confirmation. two children from the same family. Children can The following codes apply: FP = Free Parking; bring their own lunch, or the nursery will provide a SP = Swimming Pool; AC = Air-Conditioned; TV = nutritious noontime meal for $1. Participants should Television; CL = Cocktail Lounge; RT = Restaurant. call the day before to make reservations. In all cases "Single" refers to one person in one bed; A list of babysitters will be available at the Local "Double" refers to two persons in one double bed. Information Section of the registration desk. "Twin" refers to two persons in two single beds. All Crib Rental. Rental cribs are available from A-1 rates quoted are subject to four percent state sales Rental, Inc., 2285 West Liberty, Ann Arbor, Michigan tax, and two percent county sales tax. 48103 (telephone 313-663-0060). Advance reserva­ Bell Tower Hotel tions should be made by mail. 300 South Thayer Street, 481 04 Entertainment. The University of Michigan is Telephone: 313-769-3010 pleased to host the August 1980 joint Mathematics Single: $30-33 Double/Twin $38-41 Meetings on the silver anniversary of the last such Code: AC, TV, CL, RT occasion in August 1955. The Local Arrangements Campus Inn Committee has planned a number of activities for par­ 615 East Huron at State, 48104 ticipants and their families. Telephone: 313-769-2200 On Tuesday, August 19, the committee has ar­ Single: $37-40 Double/Twin $45-48 ranged a tasting of from 18 to 24 assorted wines in Code: FP, SP, AC, TV, CL, RT the Rackham Assembly Hall, Room 4600, from 8:00 p.m. to 11 :00 p.m. Due to space, the number of MISCELLANEOUS INFORMATION participants will be limited. Those wishing to attend are urged to purchase their tickets at $8.50 each Camping. There are several excellent camp­ when preregistering, since local liquor laws prohibit grounds located approximately thirty miles from sale of tickets at the door. campus. Information concerning campgrounds (and On Wednesday, August 20, the traditional sum­ picnic areas) will be available at the Local Informa­ mer picnic will be held at Romanoff's on Pontiac tion Section of the joint Mathematics Meetings regis­ Trail, a private picnic grounds 8.5 miles northeast tration desk. of Ann Arbor. An ox roast will be featured, ac­ Athletic Facilities. Extensive indoor and out­ companied by assorted relishes, American potato door recreational facilities are available. The Central salad, German potato salad, Boston baked beans, Campus Recreation Building (CCRB) (13 on the Italian rigatoni, rye and French breads, coffee, iced campus map) contains courts for racquetball, squash, tea, milk, and Michigan melon. Again, the number volley.ball, and basketball, and a swimming pool, in­ who will be able to attend is limited, and those door JOgging track, weight-training room, saunas and wishing tickets must purchase them when preregister­ other features. Nearby outdoor facilities include a ing. Adult tickets are $8, including transportation. jogging track, softball fields and tennis courts. Hours No ticket is required for a child under six years of of availability and reservation procedures will be age, but children six and over must purchase an adult posted. Use of indoor facilities will involve a small ticket. Beer will be sold by the glass during the picnic, and the traditional summer beer party will follow fee. When preregistering, the cost is $1 per day, or $3 per week. Recreation passes can also be pur­ the picnic. Buses for the trip to Romanoff's will chased at the Mosher-jordan Hall desk during the leave Mosher-jordan Hall at 5:00p.m. and meetings at a cost of $2 per day, or $6 per week. 6:00 p.m., and from Thompson Street entrance to the Cambridge House at 5:30p.m. All buses will Book Stores. The campus bookstore, located in stop at the Michigan League before proceeding to the basement of the Michigan Union (60 on the Romanoff's. The meal will be served at 6:30 p.m. campus map) will be open 9:00 a.m. to 5:30 p.m., The first bus returning to campus will leave at weekdays. In addition, there are off-campus book 9:00 p.m., and the last bus at 11 :00 p.m. All buses

271 will be clearly marked "MATHEMATICS MEET­ The Ann Arbor Public Library, located four INGS," and monitors will be on hand to assist par­ blocks from Angell Hall at the corner of East Wil­ ticipants with tickets. liam and South Fifth Avenue, will be open from On Thursday, August 21, a concert will be given 10:00 a.m. to 9:00p.m. on Monday, and from in the Rackham Lecture Hall at 8:30p.m. by jerome 9:00a.m. to 9:00 p.m., Tuesday through Friday. Jelinek, a cellist and member of the University of Local Information. Information will also be of Music, and joseph Gurt, a Michigan School available at the Local Information Section of the member of the Eastern Michigan Univer~ pianist and registration desk on other local places of interest. sity faculty. There will be no admission charge. The program will be published in a later issue of the Medical Services. The University Health Service Notices. (36 on the campus map) will be open from 8:00 Two special bus trips are planned for Thursday, a.m. to 5:00p.m., Monday through Friday, and August 21. The bus charge for each of these two trips 8:00a.m. to noon on Saturday. Emergency service is $1 per passenger, round-trip. Since the maximum is available at the Health Service from 5:00 p.m. to number of passengers to be accommodated on each of midnight, Monday through Friday. of the two trips is 125, interested persons must pur­ The Emergency Clinic located in University chase their bus tickets at the Local Information Sec­ Hospital (334 on the campus map) will be open tion of the registration desk before noon on Wed­ twenty-four hours every day. 20. No tickets will be sold at the nesday, August Parking. All university parking lots and struc­ If there is not enough interest bus boarding stops. tures are patrolled by the Ann Arbor city police, and an announce­ in these trips, they will be canceled and one must have a university parking permit. on Wednes­ ment will be made some time after noon Guest permits will be sold at the desk in Mosher- day, August 20. ] ordan Hall at a cost of $1 per day. Participants One trip will be a guided tour of the Ford are cautioned that one must have a permit even for Motor Company's River Rouge Plant, a modern, metered campus lots, in addition to putting money automated assembly-line. The buses for this trip in the meter. University parking structures on cam­ will leave from Mosher-jordan Hall at 9:00 a.m. pus are listed in bold-face type in the legend for the and proceed directly to the Ford plant, where a campus map. In addition, participants should be company guide will join the group for a tour of the aware that there are university lots adjacent to factory. After the tour, which should last about Mosher-jordan Hall and Mary Markley Hall. two hours, the bus will return to Mosher-] or dan Hall, arriving at about 1:30 p.m. There will be no Travel. Ann Arbor is a city of 1 00,000 located lunch stop on this trip. There is no admission about 45 miles west of Detroit. It enjoys excellent charge for the tour of the Ford plant. accessibility by air or road, and is also served by The second bus trip will be to the Greenfield Greyhound, Shortway, and North Star bus lines. Village-Henry Ford Museum complex. Greenfield Amtrak provides excellent service, with three trains Village is a 240 acre indoor-outdoor museum con­ daily each way between Chicago and Detroit which taining nearly a hundred historic buildings and arti­ stop at Ann Arbor. facts (Edison's laboratory, a London clocktower, Major airlines have scheduled flights to Detroit Henry Ford's early home, a Cotswold cottage, a Metropolitan Airport, which is located conveniently steam locomotive that runs, an operating paddle­ between Ann Arbor and Detroit. Frequent bus and wheel steamboat, etc.). The Ford Museum is de­ limousine service from the airport is available for the voted to items illustrating America's inventive gen­ twenty-eight mile trip to Ann Arbor. The current ius. The buses for this trip will leave from Mosher- round-trip limousine fare is $13.70, with departures ] ordan Hall at 9:30 a.m., and leave the Museum­ scheduled every thirty minutes on the hour and half­ Village complex at 4:30 p.m., to arrive back at hour. The current taxi fare between Detroit Metro Mosher-] ordan Hall at about 6:00 p.m. There is and Ann Arbor is $21. Taxis can accommodate a restaurant at the Museum-Village complex. Ad­ four passengers. Please note that both limousine mission to the Museum or Village costs $4.25 for and taxi rates are subject to change. All major car adults, and $2.25 for children 6 to 10 years of age. rental companies have offices at the airport, and Separate admission charges are made for the Museum several have offices in Ann Arbor. and the Village. (On one trip it is customary to Participants who plan on using the limousine choose one of the two to visit.) service from Detroit Metro to the campus are asked Libraries. The university's general library (Har­ to supply flight information on the preregistration/ lan Hatcher Graduate Library, 34 on the campus housing form so that the limousine company will be map) will be open 8:00 a.m. to 10:00 p.m., Mon­ able to provide adequate equipment for all planning day through Friday; Saturday, 1 0:00 a.m. to to travel to Ann Arbor at the same time from De­ 6:00p.m. troit Metro. The limousine will take participants to The Mathematics Library, located in Room Mosher-jordan, if so requested. 3027 on the third floor of Angell Hall (4 on the Participants wishing return limousine service campus map) will be open from 8:00 a.m. to from the residence halls to Detroit Metro should 1 0:00 p.m., Monday through Thursday, and 8:00 notify the desk in Mosher-Jordan Hall twenty-four a.m. to 5:00p.m. on Friday. hours in advance. The regularly scheduled limousine

272 stops at Cambridge House (where schedule informa­ ranged from 99° F. (1955) to 40° F. (1965). Aver­ tion is available) and at the downtown Ann Arbor age rainfall for the month is 2.69 inches with hotels. thunderstorms occurring on the average on 6 days in the month. Weather. The weather in Ann Arbor in late August is often warm and humid with daytime highs in the 80s and lows in the 60s (Fahrenheit). Paul T. Bateman Since 1940, August temperature extremes have Urbana, Illinois Associate Secretary

WEST TO JACKSON BENTON HARBOR

N t

ATHLETIC CAMPUS 1. Michigan Stadium 2. Crisler Arena 3. Athletic Department Buildings CENTRAL CAMPUS 4. Michigan Union 5. Michigan League

6. Medical Center EAST TO NORTH CAMPUS YPSILANTI 7. North Campus Commons 8. School of Music 9. Disaster Training Center

The University of Michigan EAST TO DEfJ:OIT AND AII~ITS AREA MAP

SOUTH TO TOLEDO

273 1980 AMS ELECTIONS

Nominations for Vice-President or Member-at-large

One position of vice-president and member of didate uniquely, append the member code, which the Council ex officio for a term of two years is to may be obtained from the candidate's mailing label be filled in the election of 1980. The Council in­ or the Providence office. tends to nominate two candidates, whose names may 3. The petition for a single candidate may con­ be expected to appear in the june issue of the sist of several sheets each bearing the statement of Notices, which is scheduled to be mailed by the the petition, including the name of the position, and printer on May 23. Nominations by petition in the signatures. The name of the candidate must be ex­ manner described below are acceptable. actly the same on all sheets. Five positions of member-at-large of the Council 4. On the facing page is a sample form for peti­ for a term of three years are to be filled in the same tions. Copies may be obtained from the Secretary; election. The Council intends to nominate seven however, petitioners may make and use photocopies candidates, whose names may be expected to appear or reasonable facsimiles. in the june Notices. Nominations by petition in the 5. A signature is valid when it is clearly that of manner described below are acceptable. The Council the member whose name and address is given in the has stated its intent to have at least ten candidates left-hand column. At least 50 valid signatures are and will bring the number up to ten if the nomina­ required for a petition to be considered further. tions by petition do not do so. 6. The signature may be in the style chosen by Petitions are presented to the Council, which, the signer. However, the printed name and address according to Section 2 of Article VII of the bylaws, will be checked against the Combined Membership makes the nominations. The Council of 23 january List and the mailing lists. No attempt will be made 1979 stated its intent of nominating all persons on to match variants of names with the form of name whose behalf there were valid petitions. in the CML. A name not in the CML or on the A petition in aid of a candidate for the position mailing lists is not that of a member. (Example: The of vice-president or of member-at-large of the Council name Everett Pitcher is that of a member. The name is valid if it conforms to several rules and operational E. Pitcher appears not to be. Note that the current considerations, as follows: mailing label of the Notices can be peeled off and affixed to the petition as a convenient way 1. To be considered, petitions must be addressed of pre­ senting the printed name correctly.) to Everett Pitcher, Secretary, Box 6248, Providence, 7. When a petition meeting these various re­ Rhode Island 02940, and must arrive by july 11, quirements 1980. appears, the Secretary will ask the candi­ date whether he is willing to have his name on the 2. The name of the candidate must be given as ballot. His assent is the only other condition for it appears in the Combined Membership List. If the presentation of the petition to the Council. Peti­ name does not appear in the list, as in the case of a tioners can facilitate the procedure by accompanying new member or by error, it must be as it appears in the petitions with a signed statement from the can­ the mailing lists, for example on the mailing label of didate giving his consent. the Notices. If the name does not identify the can-

274 NOMINATION PETITION FOR 1980 ELECTION The undersigned members of the American Mathematical Society propose the name of as a candidate for the position of (specify "vice-president" or "member-at-large of the Council"} of the American Mathematical Society for a term beginning january 1, 1981

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

Signature

Signature

Signature

Signature

Signature

Signature

Signature

275 The Nominating Committee for 1981

The Council has approved the continuation of 3. The petition for a single candidate may con­ the procedure of filling places on the Nominating sist of several sheets each bearing the statement of Committee by election. There will be four continu- . the petition, including the name of the position, and ing members of the Nominating Committee, namely signatures. The name of the candidate must be ex­ Martin D. Davis actly the same on all sheets. Hugh L. Montgomery 4. On the facing page is a sample form for peti­ Jane Cronin Scanlon tions. Copies may be obtained from the Secretary; however, petitioners may make and use photocopies or reasonable facsimiles. There will be four places filled by election in a pref­ 5. A signature is valid when it is clearly that of erential ballot. The President will name six candi­ the member whose name and address is given in the dates for these four places. The names may be ex­ left-hand column. At least 100 valid signatures are pected to appear in the June issue of the Notices. required for a petition to be considered further. Nominations by petition, in the manner described 6. The signature may be in the style chosen by below, will be accepted. Should the final number of the signer. However, the printed name and address candidates be less than eight, the President will bring will be checked against the Combined Membership it up to eight. List and the mailing lists. No attempt will be made The name of a candidate for member of the to match variants of names with the form of name Nominating Committee may be placed on the ballot in the CML. A name not in the CML or on the by a petition that conforms to several rules and mailing lists is not that of a member. (Example: The operational considerations, as follows: name Everett Pitcher is that of a member. The name 1. To be considered, petitions must be addressed · E. Pitcher appears not to be. Note that the mailing to Everett Pitcher, Secretary, Box 6248, Providence, label of the Notices can be peeled off and affixed to Rhode Island 02940, and must arrive by July 11, the petition as a convenient way of presenting the 1980. printed name correctly.) 2. The name of the candidate must be given as 7. When a petition meeting these various re­ it appears in the Combined Membership List. If the quirements appears, the Secretary will ask the candi­ name does not appear in the list, as in the case of a date whether he is willing to have his name on the new member or by error, it must be as it appears in ballot. His assent is the only other condition of the mailing lists, for example on the mailing label of placing it there. Petitioners can facilitate the proce­ the Notices. If the name does not identify the can­ dure by accompanying the petitions with a signed didate uniquely, append the member code, which statement from the candidate giving his consent. may be obtained from the candidate's mailing label or the Providence office.

276 NOMINATION PETITION FOR 1980 ELECTION (Nominating Committees of 1981, 1982) The undersigned members of the American Mathematical Society propose the name of ...... ·. as a candidate for the position of Member of the Nominating Committee of the American Mathematical Society for the years 1981 and 1982.

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

Signature

Signature

Signature

Signature

Signature

Signature

Signature

277 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 concern· 1Q80 ing published or unpublished conjectures. REPLIES from readers will be edited, when appropriate, MRTHEMRTICAL SCIENCES into a composite answer and published in a subsequent column. All answers received will ultimately be forwarded to the questioner. administrative QUERIES AND RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American directory Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. • PROFESSIONAL MATHEMATICAL ASSOCIATIONS QUERIES • ACADEMIC INSTITUTIONS - 214. James 0. C. Ezeilo (Department of Mathe· DEPARTMENTS IN THE matics, Howard University, Washington, DC 20059). MATHEMATICAL SCIENCES AND Does ·;· + ax +X + a sin X = 0 have nontrivial OTHER FACILITIES in the U.S., periodic solutions for all a? This is Problem 12, Bull. Amer. Math. Soc. 72 (1966), 470. The author Canada, Central America, and the recalls seeing a published solution somewhere. lnfor· Caribbean, coded according to the mation about solutions of this problem or general· highest degree offered izations of it would be appreciated. • 215. R. Gurevic {Maurice Thorez pr., 33, apt. 205, MATHEMATICAL UNITS Leningrad 194223 USSR). It is well known {Haus· IN NONACADEMIC ORGANIZATIONS dorff) that a~ & G5 -subset of a complete metric • HEADS AND KEY PERSONNEL of space is representable as an alternating {transfinite) series of closed sets. Is the following proposition a selected group of government in the literature? Let X be a subset of a topological agencies space, X 0 =X, Xn+l = Xn- Xn and An+l = Xn­ • EDITORS OF jOURNALS in the PROPOSITION. If X belongs to the Boolean algebra generated by the closed sets, then An = 0 for some mathematical sciences nandX=A 1 -A 2 UA 3 -A 4 U ••• UA 2k-l­ • OFFICERS AND COMMITTEE A k (2k ;;:.n -1). Note that {An}n are exactly 2 MEMBERS in more than 25 the first w terms of Hausdorff series for X .5; com· plete metric space. professional mathematical organizations • AN INDEX OF ACADEMIC INSTITUTIONS

$6.00 Publication date: March 15, 1980 Code: ADMDIR/80D Prepayment Required american mathematical society P. 0. Box 1571. Rnnex Station providence. r. i. 02QO 1

278 LETTERS TO THE EDITOR

"Jewish" Problems Sakharov's comment: The comment (reproduced below) by Andrei The collection of problems makes a strong impres­ Sakharov was appended to a document prepared and sion. To give such problems at admission ex­ distributed by Alexander Yoffe, Naum Meiman, aminations is, in my opinion, completely inadmis­ Gregory Freiman, and Genady Hasin. sible. The problems are very complicated, require The document is primarily a collection of prob­ enormous concentration and accuracy in carrying lems presented by examiners to high school candi­ out long computations, and presume knowledge dates for admission to the Mechanics and Mathe­ and experience far beyond the level which is pos­ matics Department of Moscow University. These sible even for a very able high school graduate problems fall into two categories. The first have applying to a university. It is especially inadmis­ come to be called "Jewish" problems, though they sible to offer such problems at oral examinations, are not given exclusively to Jews. Problems of the with the tense atmosphere, and with a time limi­ second category are given to "others." tation of 20 minutes per problem. Here are some samples, taken from this docu­ I have chosen from this collection of problems one ment, of the first category: which I liked (an applicant does not, of course, have any such option), and I found a rather neat 1. Prove that ((sinx)/x)3;;.. cosx; 0 < x.;;;;, rr/2. solution requiring simple ingenuity. I found it 2. Solve in rational numbers x, y, z & t, after more than an hour of thought in the quiet (x + y·-./i.)2 + (z + t-0.)2 = 5 + 40". environment of the house and with much more 3. A function f(x, y) of two variables takes on at experience in solving difficult problems and with least 3 values. For some fixed numbers a & b, a considerably larger store of knowledge. I pic­ we have f(a, y) '4= constant, f(x, b) '4= constant. tured to myself the feelings of a boy or girl who Prove that there exist numbers p, q, r, s such came to an examination, upon which his or her that f(p, q), f(r, q), f(p, s) are three pairwise­ whole future depended, and who was given such a distinct values of f(x, y). problem. I picture how they try to solve it in front of an openly hostile examiner who impa­ 4. Let ab 4, c2 + 4

279 comes to the USSR by a very roundabout way; e.g., 6. Solve the system of equations: numbers 1, 3, 4, 5, and 6 of the Notices for 1979, y(x 2 = except -t:_or very rare exceptions, were confiscated by { + y) 9, Russian censors and never got to their Russian sub­ y(x3-y3) = 7. scribers. Because I left Russia, I cannot say whether later numbers got to their subscribers. Each of these problems had to be solved in a I can say that many people in Russia were sur­ prescribed time, which was never more than twenty prised by the attitude of several well-known Ameri­ minutes. If one problem was solved, a second, third, can mathematicians who doubted if the data on anti· ... , nth problem was given. Problem 1 was given Semitism in Soviet mathematics were "reliable," and at the twelfth International Mathematical Olympiad who wanted to have more reliable statistical data for high-school students; the students had four hours before drawing any conclusions. Surely, each day for three problems. Problem 3 was given to the best brings new data on the subject, but I would like to students of special physico-mathematical schools in point out that data of this kind, which can so easily Moscow at the Physico-Mathematical Olympiad or­ be disregarded by people who enjoy personal freedom ganized by the Moscow Physico-Technical Institute and relative security, must be gathered and sent in 1973. The high-school students had three mathe­ abroad by people in the Soviet Union who endanger matical and three physical problems to solve and five their professional careers, freedom, and even their hours in which to solve them. lives by doing so. If I were not sure of the personal I would very much like to ask the people who honesty of the people who demand this statistical doubt there is unfairness at admissions to universities documentation, I would have thought that this de­ for jewish students to do the following: Suppose mand was issued by agents-provocateurs of the KGB. you are young. Suppose you are jewish. Suppose In fact, I do know people in Russia who feel certain you would like to become a mathematician, and that the latter explanation is correct. Unfortunately, have already successfully passed a written examina­ history shows that some kinds of reliable data and tion in mathematics. Look at your watch. Remem­ statistical information are only accessible post factum. ber, you have twenty minutes to give oral answers (I have in mind examples such as the gas chambers for each of the above problems-not a minute more. of Auschwitz and similar places). And, while you are solving these problems, keep in I would like to give here a few samples of the mind that if you fail at this, or at any other of the mathematical problems which jewish boys and girls next two examinations, you won't become educated were given to solve at the oral entrance examination as a mathematician. That would be a great loss not in mathematics for the Mechanics and Mathematics only for you, but for all mathematicians, for many Department at Moscow University in the summer of of us would be able to use the mathematical results 1979. For non-jews the problems were quite dif­ you could obtain after you got your mathematical ferent. One can read more on this subject in the education. article on the situation in Soviet mathematics by Boris M. Schein Professor G. A. Freiman of Moscow {an English A jewish refugee in Vienna, version was published in the New York Times A former Soviet citizen Magazine, November 25, 1979). (stripped of his citizenship Here are eight problems that are just a random because he wished to emi­ choice from a more extensive list of "jewish" prob­ grate from the USSR) lems that I have collected. 1. Let ABCD be a tetrahedron with DB 1 DC Effort Reports such that the perpendicular to the plane ABC coming through the vertex D intersects the plane of the tri­ The Provost's Office at Yale has informed us that angle ABC at the ortho-center of this triangle. Prove "as of October 1, 1980, effort reporting is required that of all universities." We agree with the opinion ex­ (lAB i + iBCj + IACl)2 pressed in their letter·, that "effort reporting, insofar as it attempts to detail the way a faculty member ..;;6(1ADI 2 + IBDJ2 + ICDI2). divides his time between research, teaching, adminis­ For which tetrahedra does the equality take place? tration, etc., is essentially meaningless." We were 2. What is more: ?6Q or 2 + f/7? also informed that when Yale was apprised of the 3. Let ABCD be a trapezoid with the bases AB pressure for effort reporting, it tried in a variety of forms to express its vigorous opposition. The Direc­ and CD, let K be a point in AB. Find a point M in tor of Contracts and Grants Administration, joe CD such that the area of the quadrangle which is Warner, took a lead role here and nationally, and the intersection of the triangles AMB and CDK is was supported by Yale's President Giamatti, but their maximal. protest did not prevail. 4. Prove that x • cos x < 0.71 for all Effort reports had arisen last decade. There was X E [0, 1T/2]. a vigorous wave of protest, including the refusal on 5. Is it possible to cut two arbitrary squares the part of faculty to fill out these meaningless into polygons which would form a new square? forms. In 1966, on p. 126 of the journal of the

280 Proceedings of the Association of Graduate Schools, tinue to ask for, and receive, effort reports... " And the graduate deans are reported to have passed the later, to the President of Brandeis: "Dr. Serge Lang's following resolution: arguments are well summarized in [a] letter to Be it resolved that the Association of Graduate Science* . .. It is impossible not to conclude that Schools instruct its President to call upon the Lang makes a great deal of sense. However, it is Association of American Universities to join in also impossible not to conclude that adoption of addressing the President of the United States our Lang's position by Brandeis would expose us to the respectful requests 1. that the present requirement danger of heavy financial loss." On the other hand, for reporting of effort by individual members of Leon Henkin, acting chairman of the Math Depart­ the professorial staff be suspended immediately ment at Berkeley, returned the forms unfilled to the because it admits no meaningful compliance. Accounting Officer on October 21, 1966. Henkin As a result of the protest, the Bureau of the Budget has written us recently (January 22, 1980) that he sent out a task force headed by Mr. Cecil Goode, never heard again from that officer, and that to his who ultimately understood the complaints, and made knowledge, no financial consequences followed. recommendations fully in accord with the profes­ Persons involved continued to get their grants. sorial point of view. Their conclusions are quoted Unfortunately Circular A-21 was again changed in the Report* of the Commission on Government last year to reinstate effort reports. In the light of Paper Work (1977), chaired by Frank Horton (Mem­ past history, the Yale Mathematics Department ber of Congress, New York) and Thomas J. Mcintyre tenured faculty has unanimously passed the following (Senator, New Hampshire). They read in part (pp. three resolutions: 19-20): 1. We have heard that university representatives Time and effort reports now required of faculty have agreed with government accountants to a revi­ members are meaningless and a waste of time. sion of Circular A-21, which has resulted in new They have engendered an emotional reaction in "effort reports." Since these agreements were made the academic community that will endanger uni­ without the faculty being properly consulted, we do versity-Federal relations if relief is not provided. not recognize them as valid. They foster a cynical attitude toward the require­ 2. In a resolution of the Graduate Deans in ments of government and take valuable effort 1966, such reports were characterized as meaning­ away from more important activities, not the less; we agree and therefore do not intend to sign least of which is the research involved. We need them. to go to a system that does not require documen­ tary support of faculty time devoted to govern­ 3. We urge the Dean of the Graduate School to ment sponsored research. No real evidence of put in motion the procedures necessary to get the faculty effort is provided anyway under the pres­ Association of Graduate Schools to reaffirm their ent system, and there is no way other than the resolution of 1966, that such requirements be imme­ research results themselves to prove how much diately suspended as being meaningless. We urge the effort was in fact expended ... The task force Association of Universities to do likewise. report describes the negative attitudes toward effort reporting (page 21) expressed not only by As chairman, I was instructed not to pass out the the academic community as being impossible, effort report forms to junior faculty in the depart­ meaningless, and a disincentive, but also by the ment. Federal agencies as being unrealistic, unnecessary We agree with Andrew Gleason that "effort red tape, and needlessly complicating relations. reports" pose a very serious threat to the freedom of the academic profession and the whole principle As a result of the Goode task force, a revision of of the tenure system is at stake here. We agree with Circular A-21 (from the Bureau of the Budget, now Mackey's conclusion, from his letter to Science, when called Office of Management and Budget) was issued he states: "One can sympathize with the desires of on June 1, 1968, stating: "The principal purpose of men charged with the supervision of vast sums of this amendment is to eliminate the time or effort money to see that the money is well spent. How­ reporting requirements set forth in that circular." ever, I believe that vigorous protests are in order Last decade, some university administrators felt when their well-meant efforts are insensitive to im­ helpless when forced to pass out to faculty forms portant differences between an academic appoint­ which they themselves recognized as meaningless. ment and most kinds of employment and when this For instance, an administrator at Brandeis wrote to insensitivity puts men into impossible positions and Palais on October 20, 1967: "From an operating threatens delicate but valuable institutions." point of view, of course, I am confronted with the fact that specific requirements have been issued by Walter Feit the government agencies which require me to con- Yale University

*Document Y 3.P 19:2 Ed8, for sale by the Superintendent *17 February 1967; see also a letter from George Mackey, of Documents, U.S. Government Printing Office, Washing· Science, 2 September 1966, and the Notices, August 1967. ton, D. C. 20402.

281 NEWS AND ANNOUNCEMENTS

NSF MATHEMATICAL SCIENCES NSF AND NATO POSTDOCTORAL RESEARCH POSTDOCTORAL FELLOWSHIPS FELLOWSHIPS ANNOUNCED The National Science Foundation has announced Twenty-two recent recipients of the in the award of fifty NSF Postdoctoral Fellowships, in­ the mathematical sciences have been selected to re­ cluding two in mathematics, and fifty North Atlantic ceive awards in the National Science Foundation's Treaty Organization (NATO) Postdoctoral ­ Mathematical Sciences Postdoctoral Research Fellow­ ships in Science, including three in mathematics. ship program, now in its second year. The two NSF Postdoctoral Fellowships went to The awards are designed to contribute to the Dennis M. DeTurck {University of Pennsylvania) for future vitality of the scientific effort of the Nation research at New York University; and to Eli L. and permit recipients to choose research environments Isaacson (Rockefeller University, New York) for re­ that will have maximal impact on their scientific search at Rockefeller University. The three NATO development. awards were made to Edward R. Griffor {Massa­ The awards are being made to individuals who chusetts Institute of Technology) for research at the are U.S. citizens or nationals. Selections are made University of Oslo, Norway; to Gary I. Cornell on the basis of ability of the applicant, likely impact (Rutgers University) for research at the lnstitut des on applicant's future scientific development, and sci­ Hautes Etudes Scientifiques, France; and to Mathew entific quality of the research likely to emerge. A L. Ginsberg {University of Oxford) for research at panel of mathematicians, chosen by the American the University of Oxford, England. Mathematical Society, the Institute for Mathematical These awards are made to U.S. citizens or na­ Statistics, and the Society for Industrial and Applied tionals who have shown talent for and interest in Mathematics, reviewed and evaluated eighty-nine research and who received their doctorate degrees applications; final selections were made by the NSF. within the past five years. The fellowships are made The Postdoctoral Fellowships provide a stipend on the basis of merit; applications are evaluated by of $15,000 per year for full-time research. panels of scientists who are experts in the appro­ The Fellowship recipients are listed below with priate specialized fields with final selection being their current affiliations in parentheses, followed by made by the NSF. the name of the Fellowship institution: Robert M. The NATO Postdoctoral Fellowship Program, Beals (Princeton University), Rice University; Steven which was initiated by NATO in 1959, is also de­ R. Bell (Massachusetts Institute of Technology), signed to advance science and technology and to Princeton University; Ted Chinburg (Harvard Univer­ promote closer collaboration among members and sity), Massachusetts Institute of Technology; Dennis associated countries. Each NATO country adminis­ M. DeTurk {University of Pennsylvania), New York ters the program for its own nationals. At the re­ University, Courant Institute of Mathematical Sci­ quest of the Department of State, NSF administers ences; Peter A. Fejer {University of Chicago), Cornell this NATO-funded program. University; David Gabai (Princeton University), Rice The NSF Postdoctoral Fellowships provide a University; Dennis J. Garity {University of Wisconsin, stipend of $1,150 a month {$575 a month for part­ Madison), University of Tennessee; William Goldman time tenure) for up to one year of full-time-equivalent {University of California, Berkeley), Institute for study or research. An institutional allowance of up Advanced Study; Ronald S. Irving (Brandeis Univer­ to $1,200 is also provided for education and re- sity), University of California, San Diego; David S. search for those attending U.S. institutions of higher Jerison {Princeton University), University of Chicago; education. Robert E. Kass {University of Chicago), Princeton The NATO Postdoctoral Fellowships carry a University; John I. Marden (University of Illinois, stipend of $1,150 a month for up to one year. Urbana), Rutgers University; David R. Morrison Dependency allowances and limited allowance for {Harvard University), Brown University; Jerry R. roundtrip travel are also provided. Nedclman (Cornell University), Rockefeller Univer­ sity; Stephen M. Paneitz (Massachusetts Institute of Technology), University of California, Berkeley; Howard D. Rees (University of Michigan), Institute PUBLIC CRYPTOGRAPHY STUDY GROUP for Advanced Study; David J. Saltman (Yale Univer­ A Public Cryptography Study Group has been sity), Yale University; James B. Shearer (Massachusetts convened by the American Council on Education, Institute of Technology), Massachusetts Institute of supported by a grant from the National Science Technology; Roy C. Smith (Harvard University), Uni­ Foundation. Its purpose is to consider the ways in versity of Utah; J. Blake Temple {University of which the concerns of academic freedom and na­ Michigan), Rockefeller Institute; David H. Terman tional security meet in the field of "public crypto­ (University of Minnesota), Mathematical Research graphy," and to develop proposals for mutually Center, Madison; Thomas H. Wolff (University of acceptable policies and procedures for their accom­ Washington), University of Chicago. modation.

282 The membership of the group includes the serve as a resource for members of the participating National Security Agency General Counsel, a Consti­ organizations and other persons in government, in­ tutional legal scholar, and one representative from dustry, and academia who are involved in the Con­ each of the following organizations: the Institute of gressional budget process. Electrical and Electronics Engineers (New York City), The CBMS contribution to this 150-page analysis the Association for Computing Machinery (New York consists of a 9-page article, "Federal Support of City), the Computer Society of the IEEE (Silver R&D in the Mathematical and Computer Sciences," Spring, Maryland}, the American Mathematical So­ researched and written by CBMS executive director ciety (Providence), the Society for Industrial and Truman Botts. Complementing the report on the Applied Mathematics (Philadelphia), the American 1981 NSF budget that appears on pages 168-169 of Association of University Professors (Washington, the February 1980 issue of the Notices, this article D.C.), and the American Council on Education summarizes and comments on the budgets of the (Washington, D.C.). The Chairman of the Study half-dozen principal Federal agencies and Departments Group is Werner Baum of Florida State University, that provide R&D support for the mathematical the ACE representative. The AMS representative is and computer sciences. R. Creighton Buck of the University of Wisconsin, The article is reproduced in full in a special Madison. March-April 1980 issue of the CBMS Newsletter. Further information may be obtained from W. Interested persons who do not subscribe to or have Todd Furniss, American Council on Education, One access to the Newsletter, may obtain copies of this Dupont Circle, Washington, D.C. 20036; 202-833-472( special issue by sending a request and $1.00 to the Conference Board of the Mathematical Sciences, 1500 Massachusetts Avenue, N.W., Suite 457-8, MOSCOW HELSINKI Washington, D.C. 20005. Copies of the full 150- MONITORING GROUP page analysis, which was produced under the auspices DOCUMENT 112 of the American Association for the Advancement of Science, have been sent by CBMS to the presidents Dorothy Hirsch of the Committee of Concerned and executive officers of each of its member societies. Scientists, Inc. (East 40 Street, New York, New York 1 0016; telephone 212-686-8862) reports that a document, prepared by the Moscow Helsinki Monitor­ MATHEMATICAL LIBRARIES ing Group (Document 112, November 5, 1979) and IN DEVELOPING COUNTRIES brought recently from the Soviet Union, provides an­ evidence of a system of anti-Semitic discrimination The International Mathematical Union has in admissions to the Department of Mathematics and nounced a program of assistance to mathematical libraries in developing countries. The program, Mechanics of Moscow State University. It states that the I MU Development and Exchanges the Faculty of Mathematics graduated 410 students developed by Commission with the cooperation of the International in 1964, 84 of whom were Jewish, but now admits Centre of Pure and Applied Mathematics in Nice, in­ a maximum of four Jews among an entering student volves the collection of mathematical texts, journals group of approximately 500. and other publications, and their distribution to According to Ms. Hirsch, there have been reports mathematical documentation centers of developing of similar practices in other institutions of higher countries. learning. She quotes mathematician Naum Meiman The I MU Executive Committee calls on all mathe­ as stating that: "Among Soviet Jews in general and maticians and all mathematical organizations to par­ among refuseniks in particular, this information is ticipate. Anyone interested in helping with this already well known. This study produces actual to send the complete list of pub­ figures to confirm it. For a country that insists that project is requested (but not the publications themselves) any form of discrimination is illegal and unconstitu­ lications offered tional, these figures make sorry reading." Copies of to the following address: the document referred to are available from Ms. Programme "Mathematical Documentation" Hirsch at the address given. c/o International Centre for Pure and Applied Mathematics 1, Avenue Edith Cavell CBMS PARTICIPATES IN ANALYSIS 06000 Nice, FRANCE OF 1981 FEDERAL R&D BUDGET Telephone: (93) 53.18.43. The Conference Board of the Mathematical Sci­ ADVANCED RESEARCH ences is one of sixteen professional Societies in the 1981-1982 sciences and engineering that have jointly produced FELLOWSHIPS IN a detailed lntersociety Preliminary Analysis of R&D Twelve long-term (six to ten months) and nine in the FY 1981 Budget. The objective is to provide short-term (two to three months) research awards, independent examinations of the Administration's without restriction as to field, are offered for 1981- proposals for support of R&D soon enough after 1982 by the Indo-U.S. Subcommission on Education the release of the President's budget so that they can and Culture. Applicants must be U.S. citizens at the

283 postdoctoral or equivalent professional level. The advances in the field. Manuscripts of a purely ab­ fellowship program seeks to open new channels of stract character will be considered only if their bear­ communication between academic and professional ing on integral equations is apparent. It is hoped groups in the United States and India and to en­ that the journal will serve as a forum for an exchange courage a wider range of research activity between of ideas that will stimulate significant contributions the two countries than has previously existed. There­ in new fields and promote the most salient aspects fore, scholars and professionals who have limited or of the theory of integral equations." no experience in India are especially encouraged to The journal is edited by A. T. Bharucha-Reid apply. (Wayne State University) and M. Z. Nashed (Univer­ Fellowship terms include: $1,000-$1,500 per sity of Delaware). The Associate Editors are M. month, depending on academic/professional achieve­ Altman (Louisiana State University), P. M. Anselone ment and seniority, $350 per month payable in (Oregon State University), C. T. H. Baker (University dollars and the balance in rupees; an allowance for of Manchester), C. Corduneanu (University of Ten­ books and study/travel in India; and international nessee), R. P. Kanwal (Pennsylvania State University), travel for the grantee. In addition, long-term j. j. Levin (University of Wisconsin, Madison), R. K. receive international travel for dependents; a depen­ Miller (Iowa State University), B. Noble (University dent allowance of $100-$250 per month in rupees; of Wisconsin, Madison), D. Przeworska-Rolewicz and a supplementary research allowance up to (Polish Academy of Science}, M. Shinbrot (Universite 34,000 rupees. de Montreal), I. Stakgold (University of Delaware), The application deadline is July 1, 1980. Appli­ C. P. Tsokos (University of South Florida), and M. M. cation forms and further information are available Vainberg (Moscow). from the Council for International Exchange of Individual subscription rates and sample copies Scholars, Attention: Indo-American Fellowship Pro­ can be obtained from the publisher, Elsevier North gram, Eleven Dupont Circle, Washington, D.C. 20036; Holland, Inc., 52 Vanderbilt Avenue, New York, telephone 202-833-4978. New York 10017.

SPECIAL YEAR ON FUNCTIONAL EQUATIONS NEW PUBLICATION AND THEIR APPLICATIONS The UMAP journal 1980 will be a Special Year of Functional Equa­ Birkhauser Boston Inc., has announced publica­ tions and their Applications at the University of tion of The UMAP journal, scheduled for March Waterloo. In addition to the resident group of re­ 1980. searchers, visitors during the year will include W. The Undergraduate Mathematics Applications Benz (Hamburg, Germany), j. Dhombres (Nantes, Project, under a grant from the National Science France), Gy. Maksa (Debrecen, Hungary), and F. Foundation to the Education Development Center, Neuman (Brno, Czechoslovakia). The Nineteenth Inc., has facilitated the development of self-contained, International Symposium on Functional Equations lesson-length instructional unitS on applications of will be organized by the Department of Pure Mathe­ undergraduate mathematics ·in a variety of fields. matics at the University from August 25 to Septem­ These include political science, biomedical sciences, ber 7 in the framework of this Special Year (see p. business, economics, international relations, seis­ 289). mology, numerical methods, traffic control, harvest­ Further information may be obtained from j. ing, and others. Aczel, Department of Pure Mathematics, University The UMAP journal, published in cooperation of Waterloo, Waterloo, Ontario, Canada N2L 3G1. with the Mathematical Association of America and the Society for Industrial and Applied Mathematics, will appear quarterly and contain approximately 130 pages per issue. The journal will present an assort­ THE JOURNAL OF INTEGRAL EQUATIONS ment of UMAP Modules in each issue, in addition to The journal of Integral Equations began publica­ a variety of features including: surveys of applications tion in 1979. The publisher describes the scope of of mathematics in specific fields, historical perspec­ the journal as follows: "The journal of Integral tives on the development of subject areas, descrip­ Equations is an international journal whose aim is to tions of innovative educational programs and their publish high-quality research papers in the area of implementation, reviews, and letters. integral equations and their applications. Aspects to The journal is published under the direction of be emphasized include the deterministic and prob­ an Editorial Board whose members represent a broad abilistic theories of linear and nonlinear integral spectrum of mathematical areas and fields of applica­ equations, numerical analysis and approximation tion. The Editor is Ross L. Finney of the University methods, and applications of integral equations in the of Illinois. Subscription information may be ob­ sciences and technology. The journal will also pub­ tained from Birkhauser Boston Inc., 380 Green lish survey and expository articles presenting recent Street, Cambridge, MA 02139.

284 MATHEMATICAL PHILATELY mathematics has been prepared and will be updated The American Topical Association, an interna­ periodically-it might be noted that mathematics tional organization devoted to thematical philately, overlaps with many other areas, and this checklist has chartered the new Mathematical Study Unit as might be of interest to collectors of stamps depicting an affiliate, announces the president of the Unit, astronomy, philosophy, computers, and measurement. Monty j. Strauss. The Unit was formed last spring Officers of the Unit besides Strauss are Lawrence and has thirty-seven members from sixteen states of Freeman, vice-president, Estelle Buccino, secretary­ the United States and seven foreign countries. It has treasurer, Robert Whipple, editor, and Ralph Johnson, also published two quarterly issues of its newsletter director. Philomath. The purpose of the Unit is to further Further information on the Unit or its checklist the collection and study of stamps and other phila­ may be obtained by sending a self-addressed stamped telic materials that pertain to mathematics and envelope to its president, Monty J. Strauss, Depart­ mathematicians, and to gather and disseminate knowl­ ment of Mathematics, Texas Tech University, edge of this topic to unit members and to other Lubbock, Texas 79409. interested persons. A checklist of stamps related to -News Release

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

H-SPACES WITH TORSION generated regular semigroups. The paper ends with by john R. Harper a study of biordered sets of some important classes The central topic is the construction of simply of regular semigroups. connected finite H-spaces exhibiting torsion in ho­ Memoir Number 224, vii + 119 pages mology. Any odd prime can appear as a torsion co­ List price $6.80, institutional member $5.1 0, individual member $3.40 efficient, in contrast to simply connected Lie groups, ISBN 0-8218·2224-1; LC 79-21160 where torsion coefficients are limited to 2, 3, 5. The Publication date: November 1979 examples are constructed and analyzed by means of To order, please specify MEM0/224 D unstable Adams resolutions of spaces. A substantial part of the paper is an exposition of the work of Massey and Peterson in this direction. Besides the CLASSIFICATION AND FOURIER INVERSION main examples, other applications of the theory are FOR PARABOLIC SUBGROUPS made. WITH SQUARE INTEGRABLE NILRADICAL Memoir Number 223, viii + 72 pages by joseph A. Wolf List price $6.00, institutional member $4.50, individual member $3.00 In recent years a general theory has been devel­ ISBN 0-8218-2223-3; LC 79-21166 oped for inverting Fourier transforms on non­ Publication date: November 1979 unimodular locally compact groups. The few known To order, please specify MEM0/223 D explicit examples have been solvable or have tit into the framework: parabolic subgroup of semisimple STRUCTURE OF REGULAR SEMIGROUPS. I Lie group, in which the nilradical has square inte­ by K. S. Subramanian Nambooripod grable representations. That class of parabolic sub­ In this paper the structure of regular semigroups groups is interesting in its own right; it occurs in is studied in full generality. The principal tool used many geometric situations, and it has a large overlap is the concept of a (regular) biordered set which with the class of maximal parabolic subgroups. abstractly characterizes the set of idempotents of a Here the author classifies the parabolic subgroups regular semigroup. The category of inductive group­ of real and complex semisimple Lie groups, in which oids is then defined as the category whose objects the nilradical has square integrable representations. are pairs consisting of an ordered groupoid and an In a few cases-corresponding to hermitian symmetric order preserving functor of the chain groupoid of a spaces of non-tube type-there is no semi-invariant biordered set whose vertex map is a bijection, and polynomial on the nilradical. In all other cases Wolf whose morphisms are certain commutative diagrams computes semi-invariants in the universal enveloping in the category of ordered groupoids. It is shown by algebra of the nilradical and writes out explicit an explicit construction that every regular semigroup Fourier inversion formulae. can be constructed from an inductive groupoid and Memoir Number 225, iii + 166 pages that the category of inductive groupoids is equivalent List price $7 .60, institutional member $5. 70, to the category of all regular semigroups. This con­ individual member $3.80 ISBN 0-8218·2~25-X; LC 79-21155 struction is then applied to obtain the structure of Publication date: November 1979 all fundamental regular semigroups and all idempotent To order, please specify MEM0/225 D

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.

285 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, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers {or sometimes a general statement on the program), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of tht. Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue.

1980-1981. ACADEMIC YEAR DEVOTED TO COMMUTATIVE Program: Forty-seven papers will be presented in ALGEBRA AND ITS RELATIONS TO COMBINATORICS, SVZY­ areas such as analysis of algorithms, automata GIES AND K-THEORY, The Mittag-Leffler Institute, and formal languages, computational complexity, Djursholm, Sweden. (February 1980, p. 186) formal semantics and proof theory, mathematical aspects of programming 1 anguages, mathematics of 1980. SPECIAL YEAR ON FUNCTIONAL EQUATIONS AND computation, theoretical studies of computer sys­ THEIR APPLICATIONS, University of Waterloo, Ontar­ tems, theory of data bases and data structures, io, Canada. (February 1980, p. 186) and theory of parallel and asynchronous computa­ tion. Summer 1980. CONFERENCE ON THE SIMULATION OF LARGE Information and Registration: w. A. Burkhard, De­ SYSTEMS, University of Bielefeld, Federal Republic partment of and Computer of GermanY. (January 1980, p. 85) Sciences C-014, Universit¥ of California, San Diego, La Jolla, California 92093.

APRIL 1980

18-19. SYMPOSIUM ON COMPUTER APPLICATIONS--A CON­ MAY 1980 TEMPORARY EVALUATION, University of Wisconsin, Stevens Point, Wisconsin. (February 1980, p. 187) 1-2. SECOND SYMPOSIUM ON MATHEMATICAL PROGRAMMING WITH DATA PERTURBATIONS, George Washington Univer­ 18-19. ALGEBRA CONFERENCE (GROUP THEORY, LIE ALGE­ sity, Washington, D.C. (February 1980, p. 187) BRAS, PARTIALLY ORDERED ALGEBRAIC STRUCTURES), Southern Illinois University, Carbondale, Illinois. 2. FIFTH INVITATIONAL SYMPOSIUM ON THE UNIFICATION (February 1980, p. 187) OF FINITE ELEMENTS, FINITE DIFFERENCES AND CALCULUS OF VARIATIONS, Universit¥ of Connecticut, Storrs, 18-19; CONFERENCE ON CONVERGENCE STRUCTURES, Camer­ Connecticut. (November 1979, p. 486) on Universit¥, Lawton, Oklahoma. (November 1979, p. 486) 2-3. FIRST MIDWEST ALGEBRAIC GEOMETRY CONFERENCE, Universit¥ of Illinois at Chicago Circle, Chicago, 19. ILLINOIS NUMBER THEORY CONFERENCE, Illinois Illinois. (February 1980, p. 187) State University, Normal, Illinois. (February 1980, p. 187) 4-7. INSTITUTE OF MANAGEMENT SCIENCES/OPERATIONS RESEARCH SOCIETY OF AMERICA JOINT MEETING, Shoreham 19-20. SEVENTH MIDWEST POE SEMINAR, Northwestern Hotel, Washington, D.C. (February 1980, p. 188) University, Evanston, Illinois. (February 1980, p. 187) 5-June 25. INTERNATIONAL WORKSHOP ON APPROXIMATION THEORY AND ITS APPLICATIONS, Technion, Haifa, 23-24. MODEL THEORY FOR ALGEBRAISTS, WITH APPLICA­ Israel. (January 1980, p. 86) TIONS TO ALGEBRA, Bowling Green State University, Bowling Green, Ohio. (February 1980, p. 187) 6-8. SEVENTH INTERNATIONAL SYMPOSIUM ON COMPUTER ARCHITECTURE, La Baule, France. (August 1979, p. 25-26. CONFERENCE ON NEW DIRECTIONS IN THE APPLICA­ 319) TION OF MATHEMATICS, Case Western Reserve Univer­ sity, Cleveland, Ohio. (February 1980, p. 187) 6-9. FOURTH INTERNATIONAL CONFERENCE ON GRAPH THE­ ORY AND ITS APPLICATIONS, Western Michigan Univer­ 26. MIDWEST MODEL THEORY SEMINAR, Bowling Green sit¥, Kalamazoo, Michigan. (October 1979, p. 412) State University, Bowling Green, Ohio. (February 1980, p. 187) 9-10. SECOND NESTOR M. RIVItRE MEMORIAL LECTURE, University of Minnesota, Minneapolis, Minnesota. 28-30. TWELFTH ANNUAL ACM SYMPOSIUM ON THEORY OF Speaker: . COMPUTING, Universit¥ Hilton Hotel, Los Angeles, Program: The main lecture will be followed by in­ California. (October 1979, p. 413) formal talks on harmonic analysis and partial Sponsor: ACM Special Interest Group on Automata and differential equations. Program m~ possibly be Computabi 1 i ty Theory, with the cooperation of the extended to May 11. IEEE Computer Societ¥ Technical Committee on Information: Walter Littman, School of Mathematics, Mathematical Foundations of Computing and the Universit¥ of Minnesota, Minneapolis, Minnesota University of Southern California. 55455 (612) 373-5308.

286 9-11. CONFERENCE IN HONOR OF MICHAEL GOLOMB: VARIA­ complete program for the Gordon Conferences is TIONAL METHODS IN ANALYSIS, Purdue University, West published in Science, March 7, 1980. Lafayette, Indiana. (January 1980, p. 86) Application: Applications must be submitted in duplicate on the standard application form which 12-15. NUMBER THEORY CONFERENCE IN HONOR OF EMIL may be obtained from the Office of the Director. GROSSWALD, Temple University, Philadelphia, Penn­ Attendance at each Conference is limited to ap­ sylvania. (February 1980, p. 188) proximately 100 conferees. Information: Applications and further information 12-16. FIFTIETH JUBILEE ANZAAS CONGRESS, Adelaide, on the Gordon Conferences may be obtai ned from Australia. (November 1979, p. 486) Alexander M. Cruickshank, Director, Gordon Re­ search Conferences, Pastore Chemical Laboratory, 18-21. FIFTEENTH NEW ZEALAND MATHEMATICS COLLOQUI­ University of Rhode Island, Kingston, Rhode Is­ UM, University of Auckland, New Zealand. (November land 02881, (401) 783-4011 or (401) 783-3372. 1979, p. 486; February 1980, p. 188) 10-13. SHORT COURSE ON THE HISTORY OF MATHEMATICS, 21-22. OPTIMIZATION DAYS 1980, Ecole des Hautes Kenyon College, Gambier, Ohio. (February 1980, p. Etudes Commerciales, Montreal, Canada. (February 189) 1980, p. 188) 15-27. 1980 AMS SUMMER SEMINAR IN APPLIED MATHE­ 24-31. CONFERENCE ON HARMONIC ANALYSIS OF FUNCTION MATICS: MATHEMATICAL ASPECTS OF MEASURES AND CONVOLUTION OPERATORS ON GROUPS, Koz­ PHYSIOLOGY, Univer­ sity of Utah, Salt ubnik, Poland. (January 1980, p. 86) Lake City, Utah. (October 1979, p. 373; November 1979, p. 462) 27-31. INTERNATIONAL SYMPOSIUM ON INTERVAL MATHE­ 15-27. MATICS, University of Freiburg, Federal Republic of SIAM SUMMER RESEARCH CONFERENCE ON NUMERICAL AND STATISTICAL Germany. (October 1979, p. 412) ANALYSIS, University of Delaware, Newark, Delaware. (February 1980, p. 189) 28-30. ADVANCED SEMINAR ON SINGULAR PERTURBATIONS AND ASYMPTOTICS, Mathematics Research Center, Uni­ 16-20. WORKSHOP ON NUMERICAL METHODS FOR SYSTEM versity of Wisconsin, Madison, Wisconsin. (October ENGINEERING PROBLEMS, Uni vers·i ty of Kentucky, Lex­ 1979, p. 413) ington, Kentucky. (February 1980, p. 189) 16-20. INTERNATIONAL CONFERENCE ON NONLINEAR PHE­ 28-31. CONFERENCE ON GENERAL TOPOLOGY, SET THEORY, NOMENA IN MATHEMATICAL SCIENCES, University of Tex­ AND MODERN ANALYSIS WITH APPLICATIONS, University as, Arlington, Texas. (November 1979, p. 486) of California, Riverside, California. (February 1980, p. 188) 16-20. SECOND INTERNATIONAL SYMPOSIUM ON INNOVATIVE NUMERICAL ANALYSIS IN APPLIED ENGINEERING SCIENCE, JUNE 1980 (cole Polytechnique de Montreal, Montreal, Canada. (October 1979, p. 412) 2-6. MAA WORKSHOP ON LINEAR ALGEBRA & ITS APPLICA­ TIONS, Salisbury State College, Salisbury, Mary­ 16-21. FIFTH land. (February 1980, p. 188) BIENNIAL MEETINGS OF THE SOUTHEAST ASIAN MATHEMATICAL SOCIETY, Hong Kong. (February 1980, p. 189) 2-12. FIFTH ANNUAL INTERNATIONAL CONFERENCE ON OP­ ERATOR THEORY, Timi ~oara, Romani a. (January 1980, p. 86) 19-20. FIFTH ANNUAL MAS COLLOQUIUM ON RESEARCH AND DEVELOPMENT AND PUBLIC POLICY, Shoreham Americana 2-21. CANADIAN MATHH~ATICAL SOCIETY SUMMER RESEARCH Hotel, Washington, D.C. WORKSHOP ON FIXED POINT THEORY AND ITS APPLICA­ Sponsor: American Association for the Advancement TIONS, Universite de Sherbrooke, Sherbrooke, of Science. Quebec, Canada. (February 1980, p. 188) Topics: Federal research and development; industry research and development and the economy; science 3-6. INTERNATIONAL CONFERENCE ON BOUNDARY AND and research at uni versi ties; international as­ INTERIOR LAYERS--COMPUTATIONAL AND ASYMPTOTIC METH­ pects of research and development; and state and ODS, Dublin, Ireland. (January 1980, p. 86) local interests in research and development. Information: AAAS Office of Public Sector Programs, 5-7. SIAM 1980 SPRING MEETING, Alexandria, Vir­ 1776 Massachusetts Avenue, N.W., Washington, D.C. ginia. (February 1980, p. 189) 20036.

9-12. SYMPOSIUM ON OPERATOR ALGEBRAS AND DERIVA­ 22-July 5. NATO-ADVANCED SUMMER INSTITUTE ON STO­ TIONS, University of Tiibingen, Federal Republic of CHASTIC SYSTEMS: THE MATHEMATICS OF FILTERING AND Germany. (February 1980, p. 189) IDENTIFICATION AND APPLICATIONS, Les Arcs, France. (February 1980, p. 189) 9-13. MAA WORKSHOP ON STRUCTURED PROGRAMMING IN PASCAL, Salisbury State College, Salisbury, 23-29. COLLOQUE INTERNATIONAL DU C.N.R.S. SUR LES Maryland. (February 1980, p. 189) ASPECTS STATISTIQUES ET LES ASPECTS PHYSIQUES Di::S PROCESSUS GAUSSIENS, Saint-Flour (Cantal), France. 9-13. ANALYTICAL AND NUMER !CAL APPROACHES TO ASYMP­ Information: P. L. Hennequin, B.P. no 45, 63170 TOTIC PROBLEMS IN ANALYSIS, Faculty of Science, Aubiere, France. University of Nijmegen, The Netherlands. (February 1980, p. 189) 25-28. THIRD SUMMER SYMPOSIUM ON REAL ANALYSIS, Michigan State University. (February 1980, p. 189) 9-13. GORDON RESEARCH CONFERENCE: THEORETICAL BIO­ LOGY AND BIOMATHEMATICS, Tilton School, Tilton, New 29-July 12. XEME ECOLE D 'ETE DE CALCUL DES PROBA­ Hampshire. BILITES, Saint-Flour (Cantal), France. Cochairmen: Byron Goldstein, Sol Rubinow. Invited Speakers: J. M. Bismut, Universite Paris P~ram: Session topics include: Cell surface con­ XI; L. Gross, Cornell University, Ithaca; K. trol; Cell kinetics; Morphogenesis; Physiological Krickeberg, University Paris V. systems; and Problems in evolution. There will be Information: P. L. Hennequin, B.P. no 45, 63170 several papers presented in each session. The Aubiere, France.

287 JULY 1980 Organizing Committee: J. A. Barroso, S. Machado, M. C. Matos, J. Mujica, L. Nachbin, D. Pisanelli, J. 7-31. SUMMER SEMINAR ON COMPLEX ANALYSIS, Miramare, B. Prolla, G. I. Zapata. Trieste, Italy. (November 1979, p. 486) Invited Speakers: Invited speakers will include Laurent Schwartz and Pierre Lelong. 7-August 15. CANADIAN MATHEMATICAL SOCIETY SUMMER Information: J. A. Barroso, Insti tuto de Matemat­ WORKSHOP ON SET THEORY AND SET-THEORETIC TOPOLOGY, ica, Universidade Federal do Rio de Janeiro, Erindale College, University of Toronto, Canada. Caixa Postal 1835, 21910 Rio de Janeiro, RJ, Princi)al Speakers: J. Baumgartner (Dartmouth Col- Brasil. lege ; I. Juhasz (Hungarian Academy of Sciences); K. Devlin (University of Lancaster). 4-8. WORKSHOP ON THE PRESENT TRENDS OF REPRESENTA­ Program: The principal speakers will give short TION THEORY, Universidad Aut6noma de Puebla, Pueb­ courses and there will be a variety of informal la, Mexico. sessions and contributed papers. Program: Information: W. Weiss or F. Tall, Department of There will be four series of introductory Mathematics, Erindale College, University of To­ lectures. Each series will consist of four ronto, Mississauga, Ontario, Canada L5L 1C6, ninety-minute 1ectures. These series will be ( 416) 828-5356. preceded by one 1ecture on the historical back­ ground of representation theory. Workshops will 8-11. FIFTH CONFERENCE ON AUTOMATED DEDUCTION, Les be conducted by the fallowing: Andrej V. Roiter Arcs, Savoie, France. (October 1979, p. 413) (Kiev), Matrix Problems; Vlastimil Dlab (Carle­ ton), Diagrammatic Methods in Representation Theory; !dun Reiten (Trondheim), Almost Split 9-19. ST. ANDREWS COLLOQUIUM 1980, University of Sequences; Hans Peter Kraft (Bonn), Representa­ St. Andrews, St. Andrews, Scotland. (February 1980, tion Theory and Algebraic Geometry; William p. 190) Gustafson (Texas Tech), Historical Aspects of Representation Theory. During the conference 14-16. NONLINEAR PROGRAMMING SYt~POSIUM IV, Univer­ there will be a series of talks on the morpho- sity of Wisconsin, Madison, Wisconsin. (November 1 ogi cal aspects of representation theory given by 1979, p. 487) Maurice Auslander and !dun Reiten. The Workshop precedes the Third International Conference on 14-19. NINTH INTERNATIONAL CONFERENCE ON GENERAL Representation of Algebras, to be held August RELATIVITY AND GRAVITATION, Friedrich Schiller Uni­ 8-16. versity, Jena, German Democratic Repub 1 ic. (October Information: R. Mart1nez, III ICRA, Apdo. Postal 1979, p. 413) 70-450, ~1~xico 20, D.F. Mexico.

14-25. NATO ADVANCED STUDY INSTITUTE ON STATISTICAL 4-15. NATO ADVANCED STUDY INSTITUTE ON GENERALIZED DISTRIBUTIONS IN SCIENTIFIC WORK, University of CONCAVITY IN OPTII~IZATION AND ECONOMICS, Vancouver, Trieste, Italy. Canada. (February 1980, p. 190) Program: The emphasis of the program will be on the theory and applications of statistical distribu­ 4-22. SEMINAR ON COMPLEX MANIFOLDS: APPLICATIONS TO tions with reference to multidimensional random ALGEBRAIC GEOMETRY AND , Uni­ variables. Relevant significant developments with versity of Montreal, Montreal, Canada. (January respect to single dimension random variables will 1980, p. 87; February 1980, p. 190) be included. Both quantitative methodology and scientific significance will be emphasized. Both 8-16. THIRD INTERNATIONAL CONFERENCE ON REPRESENTA­ instrumentation-related and computer-related TION OF ALGEBRAS, Universi dad Aut6noma de Puebl a, problems will be discussed. The Institute will be Puebla, Mexico. preceded by a Short Intensive Preparation Course Organizing Committee: Jonathan Alperin (Chicago); (July 10-15) and followed by a Research Confer­ Maurice Auslander (Brandeis); Raymundo Bautista ence and Workshop (July 23-August 1). (Mexico); Vl astimi 1 Dl ab (Carleton); Peter Gabri­ Support: Participants in full attendance are eligi­ el (Zurich); Roberto Mart{nez (Mexico); Gerhard ble for partial support. 0. Michler (Essen); Irving Reiner (Urbana); !dun Pro ram Committee: G. P. Patil (USA, Chainnan); B. Rieten (Trondheim); Claus Ringel (Bielefeld); Baldessari Italy, Director); T. Cacoullos Andrej V. Roiter (Kiev). (Greece); S. Engen (Norway); S. Kotz (USA); J. E. Information: R. Mart1nez, III ICRA, Apdo. Postal Mosimann (USA); J. K. Ord (England); C. R. Rao 70-450, Mexico 20, D.F., Mexico. (USA); L. Rondini (Italy); C. Taillie (USA, Co­ director); J. Tiago de Oliveira (Portugal); w. G. Warren (Canada); and M. E. Wise (Netherlands). 10-16. FOURTH INTERNATIONAL CONGRESS ON MATHEMATI­ Information: G. P. Patil, Department of Statistics, CAL EDUCATION, Berkeley, California. (August 1979, 318 Pond Laboratory, Pennsylvania State Univer­ p. 319) sity, University Park, Pennsylvania 16802. Sug­ gestions for topics and speakers are invited. 11-15. CONFERENCE ON CONSTRUCTIVE MATHEMATICS, New Mexico State University, Las Cruces, New Mexico. 28-August 1. SECOND ANNUAL CONFERENCE ON TOPOLOGY Program: Ten principal speakers discussing con- OF THE MANIFOLDS AND HOMOTOPY THEORY, University of structive mathematics from the viewpoints of Sao Paulo, Sao Paulo, Brasil. (November 1979, p. Bishop, Formalism, History and Philosophy, Intui­ 487) tionism, and Recursive Function Theory. In addi­ tion there will be 20 half-hour talks. A partial 1 ist of speakers includes D. S. Bridges (The Uni­ 28-August 9. V ESCUELA LATINOAMERICANA DE MATEMAT­ versity College at Buckingham, England); Y. K. ICA, Mar del Plata, Argentina. (November 1979, p. Chan (Boeing Computer Services, Seattle); s. Fef­ 487) erman (Stanford); N. Greenleaf (Naropa Insti­ tute); and J. Myhill (SUNY at Buffalo). AUGUST 1980 Call for Papers: Contributed papers ranging from constructive developments of particular areas of 4-8. INTERNATIONAL SEMINAR ON FUNCTIONAL ANALYSIS, mathematics to foundational and philosophical HOLOMORPHY AND APPROXIMATION THEORY, Universidade problems are solicited. Abstracts must be re­ Federal do Rio de Janeiro, Brasil. ceived by July 1, 1980.

288 Support: It is anticipated that partial support TABLEAUX AND SCHUR FUNCTORS IN ALGEBRA AND GEOME­ will be available for some participants. TRY, Torun, Poland. (February 1980, p. 190) Information: W. Julian, Department of Mathematical Sciences, New Mexico State University, Las SEPTEMBER 1980 Cruces, New Mexico 88003. 1-13. INTERNATIONAL CONFERENCE ON OPERATOR ALGEBRAS 11-15. INTERNATIONAL CONFERENCE ON CATEGORICAL AS­ AND GROUP REPRESENTATIONS, Black Sea Coast, PECTS OF TOPOLOGY AND ANALYSIS, Carleton Universi­ Romania. (February 1980, p. 191 l ty, Ottawa, Canada. (November 1979, p. 487) 15-0ctober 3. SUMMER SCHOOL OF THE INTERNATIONAL 17-23. FIFTEENTH INTERNATIONAL CONGRESS OF THEO­ CENTRE FOR PURE AND APPLIED MATHEMATICS: HARMONIC RETICAL AND APPLIED MECHANICS, Toronto, Canada. ANALYSIS, Nancy, France. (February 1980, p. 191) (October 1979, p. 413) 17-19. INTEGRATED PROGRAMS FOR AEROSPACE-VEHICLE 18-22. SUMMER MEETING IN LOGIC, University of DESIGN--NATIONAL SYMPOSIUM, Denver, Colorado. Patras, Greece. (February 1980, p. 190) (February 1980, p. 191) 18-22. SEVENTH AUSTRALASIAN HYDRAULICS AND FLUID 22-0ctober 3, 1980. NATO ADVANCED STUDY INSTITUTE MECHANICS CONFERENCE, Brisbane, Australia. (Novem­ ON SINGULARITIES IN BOUNDARY VALUE PROBLEMS, ber 1979, p. 487). Maratea, Italy. (February 19BO, p. 191) 18-22. COMPSTAT 80: FOURTH SYMPOSIUM ON COMPUTATION­ 26-27. EIGHTH ANNUAL MATHEMATICS AND STATISTICS AL STATISTICS, Edinburgh University, Scotland. CONFERENCE, Miami University, Oxford, Ohio. (October 1979, p. 413) (February 1980, p. 191) Invited Speakers: E. M. L. Beale (Imperial College, London, and SCICON); I. Francis (Cornell Univer­ 26-27. ANNUAL PI MU EPSILON STUDENT CONFERENCE sity); R. Tomassone (Laboratoire Biometrie, In­ (OHIO DELTA CHAPTER), Miami University, Oxford, stitut National de la Recherche Agronomique); J. Ohio. (February 1980, p. 191) Tukey (Princeton University). Program: The opening session will be chaired by D. 29-December 20, 1980. AUTUMN SCHOOL OF THE INTER­ J. Finney (University of Edinburgh). Papers will NATIONAL CENTRE FOR PURE AND APPLIED MATHEMATICS: inc 1 ude reviews of current methode 1ogy and dis­ ORDINARY DIFFERENTIAL EQUATIONS AND , cussions of the most commonly used statistical Strasbourg, France. (February 1980, p. 191) packages (whose authors wi 11 be present) as well as descriptions of recent research on new tech­ OCTOBER 1980 niques and software. An exhibition featuring the main statistical packages, computational aids and 1-3. TWENTY-FIRST ANNUAL SYMPOSIUM ON FOUNDATIONS microprocessors is also planned, and participants OF COMPUTER SCIENCE, Lake Placid, New York. (Febru­ will have the chance to test packages (old and ary 1980, p. 191) new) in a series of software demonstrations. Information: COMPSTAT 1980, c/o Director, Program 6-17. INTERNATIONAL FEDERATION FOR INFORMATION Library Unit, University of Edinburgh, 18 PROCESSING CONGRESS, Tokyo, Japan and Melbourne, Buccleuch Place, Edinburgh EHS 9LN, Scotland. Australia. (November 1979, p. 487) 18-23. EIGHTEENTH SCANDINAVIAN CONGRESS OF MATHEMA­ 13-15. SYMPOSIUM ON TRANSITION AND TURBULENCE, TICIANS, Aarhus, Denmark. (February 1980, p. 190) Mathematics Research Center, University of Wi scan­ sin, Madison, Wisconsin. (November 1979, p. 487) 24-30. LOGIC COLLOQUIUM 80 AND EUROPEAN SUMMER MEETING OF THE ASSOCIATION FOR SYMBOLIC LOGIC, 24-25. CONFERENCE ON MEASURE THEORY, Northern Prague, Czechoslovakia. (February 1980, p. 190) Illinois University, DeKalb, Illinois. Sponsor: Mathematical Institute, Czechoslovak Organizers: Gerald A. Goldin and Robert F. Wheeler. Academy of Sciences. Program: The topics of Baire and Borel measures on Program: Set theory and model theory; constructive topological spaces, vector measures, and measures mathematics and recursion theory. on topological vector spaces (with applications Invited Speakers: U. Felgner, J. Fenstad, R. 0. to physics) will be emphasized. There wi 11 be Gandy, M. Lerman, P. L indstr6m, W. A. J. Luxem­ sessions for contributed papers. burg, W. Marek, K. McAloon, J. Paris, S. Shelah, Speakers: Joseph Diestel, William Graves, Charles M. Srebrny, R. Soare, N. A. ~anin, A. S. Troel­ Newman, Mary Ellen Rudin, Dennis Sentilles, Doro­ stra, A. Zarach, I. D. Zaslavskij; also possibly thy Maharam Stone. J. Barwise, M. Beeson, G. Cherlin, K. Devlin, A. Information: Ms. Arlene Neher, Continuing Educa­ Kanamori, K. Kunen, B. A. Ku~ner, R. Laver, J. tion, Northern Illinois University, DeKalb, Mycielski, R. Parikh, R. Shore, C. E. M. Yates. Illinois 60115 (815-753-1456), or Department of Organizers: Petr H~jek, Petr Vopenka. Mathematical Sciences, N.I.U. (815-753-0567). Information: Pavel Pudlak, LC 80, Mathematical Institute, Czechoslovak Academy of Sciences, NOVEMBER 1980 Zitna 25, 115 67 Praha 1, Czechoslovakia. 6-8. SIAM 1980 FALL MEETING, Houston, Texas. 25-29. EIGHTH AUSTRALIAN CONFERENCE ON COMBINA­ Topics: Symposia topics will include mathematical TORIAL MATHEMATICS, Deakin University, Geelong, applications in the petrochemical industry; math­ Victoria, Australia. (November 1979, p. 487) ematical applications in medicine; applications to mathematical optimization theory. 25-September 7. EIGHTEENTH INTERNATIONAL SYMPOSIUM Deadline for Abstracts: July 21, 1980. ON FUNCTIONAL EQUATIONS, Renison College, Univer­ Information: Hugh B. Hair, Society for Industrial sity of Waterloo; Guild Inn, Scarborough, Ontario, and Applied Mathematics, 33 South 17th Street, Canada. (January 1980, p. 87) Philadelphia, Pennsylvania 19103. 27-29. GEOMETRY SYMPOSIUM, Utrecht, The Nether­ DECEMBER 1980 lands. (February 1980, p. 190) 1-6. FIRST CONGRESS OF BIOMATHEMATICS, Concepci6n, 27-September 3. INTERNATIONAL CONFERENCE ON YOUNG Chi 1 e.

289 Sponsor: Sociedad Latinoamericana de Biomatematica. Program: There will be sessions for contributed papers. Papers should be sent to the address be­ low. There will also be classes and lectures dur­ ing the period November 24-December 12, 1980. Information: Sociedad Latinoamericana de Biomate­ miftica, Instituto de C5lculo, Facultad de Cien­ MATHEMATICS INTO TYPE, Second Edition cias Exactas y Naturales-U.S.A., Of. 2003, Pabel- by Ellen E. Swanson 16n No. 1, Ciudad Universitaria, Buenos Aires, This second edition of Ms. Swanson's book, Argentina. first published in 1971, contains suggestions and LATE ENTRIES rules which apply to new methods of composition, including computer-assisted phototypesetting. Like May 27-28. CONFERENCE ON MATHEMATICAL BIOLOGY, the first edition it covers the publication of mathe­ Southern Illinois University, Carbondale, Il­ matics from manuscript to printed book or journal linois. Information: T. A. Burton, Mathematics Department, with emphasis on copy editing and on the appearance Southern Illinois University, Carbondale, Il­ of mathematics in print. Every chapter has been linois 62901. brought up to date. The second chapter, "How to Mark Mathematical June 16-20. SECOND SYMPOSIUM ON NONSTANDARD ANAL Y­ SIS, University of Victoria, Victoria, B.C., Can­ Manuscripts," has been extensively revised to aid the ada. copy editor in keeping abreast of the changes that Program: The symposium will be devoted to presenta­ have occurred in the last ten years as composition tions of recent research in nonstandard analysis. changed from Monotype to computer-assisted photo­ Informal discussions and problem sessions will be do not always apply. arranged. typesetting. The old rules Invited Speakers: M. Dresden, L. Helms, w. Henson, Sections include typographic conventions, mathe­ D. Hoover, H. J. Keisler, D. Laugwitz, G. Lawler, matical expressions in text and in display. P. Loeb, w. A. J. Luxemburg, L. Moore, E. Nelson, The third chapter, "Mathematics in Print," also E. Perkins, P. Raquette, F. Wattenberg. has been revised to cope with new methods of com­ Sponsors: This symposi urn is one of severa 1 Summer Research Institutes sponsored by the Canadian position. It should be noted that the sections on Mathematical Society. rules for spacing between symbols, and mathematical Support: A limited number of financial grants may equations in text and display have been useful to be available. compositors setting up new systems for mathematics Deadline for Submitting Abstracts: May 1, 1980. composition. Information and Abstracts: Professor A. Hurd, De­ Other chapters and appendixes include the han­ partment of Mathematics, University of Victoria, Victoria, B•. c. V8W 2Y2, Canada. dling of manuscript in proof, processing a mathe­ matics publication, style suggestions, a look at the future, a list of special fonts used in mathematics, June 23-July ~ 11. ECOLE D'ETE D' INFORMATIQUE: TRAITEMENT NUMERIQUE DES IMAGES ET INTELLIGENCE German and Script alphabets, and a glossary. ARTIFICIELLE, Centre d'Etudes du Breau-sans-Nappe, Originally written as a manual to standardize Ablis, France. copy editing procedures and to serve as a guide in Invited Speakers: H. C. Andrews (Comtal Corpora­ the training of editorial assistants at the American tion, Los Angeles); 0. D. Faugeras (University of Southern California; !RIA); J. A. Feldman (Uni­ Mathematical Society, it has been used extensively versity of Rochester, Great Britain); A. Rosen­ by copy editors of mathematics and compositors of feld (University of Maryland). research mathematics. There are several other books Information and Aeplication: Application sho!j,.ld be to assist the copy editor in preparing ordinary text, made by April 2 , 1980, to Secretariat des !coles d'Ete, 1, Avenue du General de Gaulle, 92140 Cla­ but this one is written specifically to assist in the mart, France. preparation of mathematics text. The author is the Director of Editorial Services July 15-Augu~t 1. ECOLE D'ETE D'AN/IL YSE NUMERIQUE: at the AMS. ANALYSE LINEAIRE DES GRANDS SYSTtMES A MATRICES CONTENTS CREUSES, Centre d'Etudes du Breau-sans-Nappe, Especially for authors Ablis, France. Invited S eakers: I. S. Duff (A.E.R.E. Harwell, How to mark mathematical manuscripts Great Britain ; A. Jennings (Queen's University, Mathematics in print Ireland); G. H. Golub (Stanford University); J. Techniques of handling manuscript and proof K. Reid (A.E.R.E. Harwell, Great Britain). Processing a publication in mathematics Information and Applications: Application should be Publication style made by April 30, 1980, to Secretariat des fcoles d'Ete, 1, Avenue du General de Gaulle, 92140 Cla­ Composition trends mart, France. Appendix x + 90 pages List price $8.00, institutional member $6.00, Individual member $4.00 ISBN 0-8218-0053-1; LC 72-170708 Publication date: November 1979 To order, please specify MITD Soft cover

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CBMS REGIONAL CONFERENCE Most significantly, the connection between these SERIES IN MATHEMATICS analytic and combinatorial theorems is demonstrated. (ISSN 0160-7642) Memoir Number 227, ii + 54 pages (soft cover) List price $6.00, institutional member $4.50, (Supported by the National Science Foundation) individual member $3.00 ISBN 0-8218-2227-6; LC 79-27622 LECTURES ON THREE-MANIFOLD TOPOLOGY Publication date: March 1980 To order, please specify MEM0/2270 by William joco This manuscript is a detailed presentation of the ten lectures given by the author at the NSF Regional THE SYMPLECTIC COBORDISM RING. I Conference on Three-Manifold Topology, held by Stanley 0. Kochman October 8-12, 1977, at Virginia Polytechnic Insti­ This Memoir is the first of three papers which tute and State University. The purpose of the con­ study n~P' the ring of cobordism classes of closed ference was to present the current state of affairs in smooth manifolds with a symplectic structure on three-manifold topology and to integrate the classical their stable normal bundles. Information about n~P results with the many recent advances and new direc­ is obtained through an analysis of the mod two tions. Adams spectral sequence. The third paper will apply CONTENTS: the results of the first two papers to study Image [nsp-+ n*], Image [n{-+ n~P], the im­ 1. Loop theorem-sphere theorem: The Tower Construction ages of the Hurewicz homomorphisms, splitting the spectrum MSp, higher 2. Connected sums torsion in n~P' and will com­ pute J 0 <. n <. 100. 3. 2-manifolds embedded in 3-manifolds ns; This paper studies £ , d and £ of the 4. Hierarchies 2 2 3 mod two Adams spectral sequence for n~P. 5. Three-manifold groups E 2 is com­ puted by the May spectral sequence. £ is described 6. Seifert fibered manifolds 2 explicitly as an algebra with 9 sequences of algebra 7. Peripheral structure generators and 40 sequences of relations. An action 8. Essential homotopies (The annulus-torus of the Landweber-Novikov algebra on this Adams theorems) spectral sequence is defined and studied. The d - 9. Characteristic Seifert pairs 2 differentials are computed by matric Massey product 10. Deforming homotopy equivalences theorems and by inductive arguments which utilize Number 43, xii + 251 pages (soft cover) the naturality of the differentials with respect to the List price $9.60, individual $4.80 ISBN 0-8218·1693-4; LC 79·28488 Landweber-Novikov operations. Seventy sequences Publication date: March 1980 of elements of E 3 are given which generate E3 as an To order, please specify CBMS/430 algebra. These algebra generators are identified from a qualitative description of the algebra structure of E 3 in terms of sequences of elements called prefam­ MEMOIRS OF THE AMERICAN ilies. The elements of a prefamily are interrelated MATHEMATICAL SOCIETY by Landweber-Novikov operations in a simple way. The idea of describing spectral sequences qualita­ (ISSN 0065-9266) tively in this way will be studied in detail in the second paper of this series. ANALYTIC AND COMBINATORIAL These methods of analyzing a complicated GENERALIZATIONS OF THE Adams spectral sequence are applicable in a wide ROGERS-RAMANUJ AN IDENTITIES variety of other contexts. by David M. Bressoud Memoir Number 228, x + 206 pages (soft cover) The Rogers-Ramanujan identities can be stated List price $9.60, institutional member $7.20, individual member $4.80 either analytically or combinatorially. Each view­ ISBN 0-8218-2228-4; LC 79-27872 point has led to its own generalizations. On the Publication date: March 1980 analytic side, there is the work of Watson, Bailey, To order, please specify MEM0/2280 Slater, Singh, Andrews and others. On the combina­ torial side is the work of Schur, Gordon, Giillnitz, PSEUDO-RIEMANNIAN SYMMETRIC SPACES Andrews and others. In this paper, two very general by Michel Cohen and Monique Porker theorems are proved; the first of these is an analytic This paper is an attempt to classify simply con­ statement which contains as special cases many of nected pseudo-riemannian symmetric spaces, using the known analytic generalizations; the second is a the structure of the Lie algebra of the group of combinatorial statement which contains as special transvections. Results are obtained in the case where cases many of the combinatorial generalizations. the action of the holonomy group is neither semi-

291 simple nor nilpotent. In particular, some classes of The chapter headings following indicate the spaces are fully classified: those admitting a parallel scope of the lectures. Each chapter also contains foliation with zero curvature, those of dimension one or more appendices with supplementary smaller than 8, those in which the semi-simple part material. of the holonomy group has dimension 1. 1. Introduction. Survey of basic results Simply connected Riemannian symmetric spaces 2. Approximation theorems. Entropy were classified by E. Cartan. This is an attempt to 3. Singular numbers of integral operators. Multi­ obtain an analogous classification when the metric pliers has indefinite signature. To a pseudo-riemannian 4. Asymptotic behavior of the spectrum of poly­ symmetric space (M, g) is associated an algebraic ob­ harmonic operators in weighted spaces ject (~ a, B), consisting of the Lie algebra!§ of the 5. Asymptotics of the spectra of elliptic variational group of transvections of M, the involutive automor­ problems with nonsmooth coefficients phism a of!§defined by the geodesic symmetry at Volume 114, viii + 132 pages (hard cover) a point o of M and the ad ~invariant bilinear List price $26.00, institutional member $19.50, form B induced on!§ by the metric g. It is shown individual member $13.00 ISBN 0·8218-3064-3; LC 79·27339 (_~a, B) splits into a direct sum of how a triole Publication date: February 25, 1980 ideals (~, ai, Bi) corresponding to the weakly irre­ To order, please specify TRANS2/1140 ducible factors of (M, g). A structure theorem for weakly irreducible triples (~a, B) is proved when the action of the linear holonomy group is neither semi simple nor nilpotent. This gives as corollary REFERENCE WORK the classification of simply connected spaces admit­ ting a maximal parallel foliation with zero curvature. MATHEMATICAL SCIENCES The spaces of dimension smaller than 8 and those ADMINISTRATIVE DIRECTORY for which the transvection group contains a Levi This directory, published annually, lists key per­ factor of type SL(2, R) or S0(3, R) are also classi­ sonnel of 40 professional mathematical organizations, fied. over 3,000 heads of academic departments in the Memoir Number 229, iv + 108 pages (soft cover) mathematical sciences, and heads of mathematical List price $6.80, institutional member $5.1 0, units in nonacademic institutions, and key person- individual member $3.40 · agencies, ISBN 0-8218-2229-2; LC 79·27541 nel of a selected group of government Publication date: March 1980 editors of 101 journals, and officers and committee To order, please specify MEM0/2290 members of more than 25 professional organizations. Information includes current addresses (including AMS TRANSLATIONS-SERIES 2 telephone numbers in many cases), terms of office, (ISSN 0065-9290) and other pertinent information for the organiza­ tions represented. QUANTITATIVE ANALYSIS IN 1980 Volume, iv + 97 pages (soft cover) SOBOLEV IMBEDDING THEOREMS AND Price $6.00 ISBN 0-8218-0070-1 APPLICATIONS TO SPECTRAL THEORY Publication date: March 15, 1980 by M. S. Birman and M. Z. Solomjak To order, please specify ADMOIR/800 Translated by F. A. Cezus The lectures in this book are devoted to quan­ titative analysis in connection with Sobolev imbed­ RECENT REPRINTS ding theorems for the function spaces w; which Sobolev introduced. Usually by imbeddmg theo­ MEASURE ALGEBRAS rems one means "qualitative" assertions concerning by joseph L. Taylor continuity or compactness of an imbedding of one CBMS Regional Conference Series in Mathematics class w; into another. The authors' principal goal Number 16, 116 pages (soft cover) is a "quantitative" investigation of the correspond­ 1973, reprinted 1979 ing imbedding operators, which usually turn out to List price $7.20, individual $3.60 be compact. The conventional quantitative charac­ To order, please specify CBMS/160 teristics of compact imbeddings are €-entropy and n-widths of the corresponding unit sphere. Meaning- 20-VOLUME AUTHOR INDEX ful information on these quantities can be obtained OF MATHEMATICAL REVIEWS, 1940-1959 by means of approximation thoery if a suitable Parts I and II, 2201 pages (soft cover) approximation device is found and investigated. 1961; reprinted 1980 List price $140, institutional member $105, Piecewise-polynomial approximations are discussed individual member $70, reviewer $35. in detail in the lectures. To order, please specify MREVIN/40/590 Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

292 MISCELLANEOUS

Doctorates Conferred LOUISIANA Louisiana State University, Baton Rouge in 1978-1979 Mathematics Fischer, David R. Gaussian random walks on the Heisenberg group Waldrop, Clay (Supplementary List) Arc reversals in tournaments

The following are among those who received MARYLAND doctorates in the mathematical sciences and related subjects from universities in the United States and Johns Hopkins University Canada during the interval July 1, 1978 to June 30, Biostatistics 1979. This is a supplement to the list printed in the Hoffman, Raymond George November 1979 issue of the Notices. Each entry Regression methods for prospective studies. contains the dissertation title. There are 6 univer­ MacKenzie, Ellen jane sities listed with a total of 33 names. Added to Measuring Inter-rater reliability of dichotomous re­ sponses: A components of variance model the November list, these give a total of 145 univer­ Wyant, Timothy S. sities listed, with 922 degrees conferred by 235 A simple method to increase the robustness of t-type departments in 1978-1979. interval estimators Mathematics Ben-Yattou, Lassaad M. ALABAMA Study of infinitesimal and global Kobayashi metrics, with applications to analysis University of Alabama, University Sharma, Naresh K. Statistics On representations of primes by norm forms and de­ composition lows in non-Abelian extensions joiner, Carl W. Chahal, )asbir Singh Goal programming: An application In the manage­ On congruence subgroup problem and related topics ment of a state-wide health core program ~ims, john L. A practical procedure for solving a multi-dimensional facilities location-allocation problem PENNSYLVANIA Temple University Mathematics CALIFORNIA Dion, Gloria Stanford University The magnification of planar graphs Statistics McCleary, john Obstructions to realization of morphisms between Ahrabi, Fereydoon modules over the Steenrod algebra for very nice Maximum likelihood estimation of the autoregressive spaces coefficients and moving average co variances of vector Shulberg, Gary autoregressive moving average models Invariant subspaces associated with decomposable Cabannes, Andre Francqis operators Estimation of random fields from network observa­ Wenocur, Roberta tions Waiting times and return periods related to order Conway, Delores Ann statistics Multivariate distributions with specific morginals Egger, Marlene ) o-Ann Power transformations to achieve symmetry in quan­ WISCONSIN ta/ bioassay Greer, Richard Lee University of Wisconsin, Madison Consistent nonparametric estimation of best linear Mathematics classification rules/Solving inconsistent systems of linear inequalities Astaburuaga, Maria Angelica Link, Carol Lynn Population models with harvesting and delay: Stabil­ Confidence intervals for the survival function using ity of equilibria Cox's proportional hazard model with covariates Bowman, Bonita McWilliams, Thomas Patrick Stretching the circular cylindrical sheet Properties of Isotonic estimators of mean lifetime in Foregger, Marsha (Forman) a simple prototype development model Decompositions of graphs Reid, Nancy Margaret Garst, Peter E. Influence functions for censored data Cohen-Macau/oy complexes and group actions Wong, Suzanna Chor-Yee Henderson, )ames P. Design for low dose extrapolation of carcinogenicity Approximating certain cellular maps between poly­ data hedra and a polyhedral cellularity criterion

293 Kurland, Henry L. Chicago from March 1 to June 1, 1980. Homotopy invariants of repe/ler-attractor pairs with an application to fast-slow systems Kenneth S. Williams of Carleton University was Neidhardt, Arnold L. awarded the degree of Doctor of Science by the Strassen-type laws of the Iterated logarithm for solu­ University_ of Birmingham, England, for his research tions of stochastic differential equations in the Theory of Numbers. Panetta, Richard Lee Hyperreal probability spaces: Some applications of the Loeb construction Price, Roderick A. ~ CH (and less) solves a set-theoretic problem of Cech Wilson, James A. Hypergeometric series recurrence relations and some Deaths new orthogonal functions

Professor Emeritus Walter Ora Gordon of Penn­ sylvania State University died on December 20, 1979, at the age of 75. He was a member of the Society Personal Items for 49 years. Professor Emeritus joseph S. Leech of Colorado College died on March 28, 1978, at the age of 74. Walter M. Patterson 3d has been promoted from He was a member of the Society for 38 years. Chief of Operations Research to Deputy Director Louise J. Rosenbaum of Middletown, Connecti­ of Studies and Analysis, Military Airlift Command, cut, died on January 16, 1980, at the age of 71. She US Air Force. was a member of the Society for 40 years. Daniel G. Quillen of the Massachusetts Institute Professor Hans Rudberg of Halleforsnas, Sweden, of Technology has been appointed to the Norbert died in July 1979 at the age of 66. He was a mem­ Wiener Professorship of Mathematics at M.I.T. ber of the Society for 32 years. Boris M. Schein of the Saratov State University, Professor Moshe Shimrat of York University died U.S.S.R., has emigrated from the Soviet Union, and on October 1 8, 1979, at the age of 60. He was a has been appointed to a visiting professorship at member of the Society for 19 years. Tulane University. Professor Alexander Weinstein of the University Jan R. Strooker of the University of Utrecht of Maryland died on November 6, 1979, at the age The Netherlands, will be visiting the University of of 82. He was a member of the Society for 37 years.

PROCEEDINGS OF SYMPOSIA range of topics discussed there. It should be of in­ IN PURE MATHEMATICS terest to mathematicians or advanced students in geometry and analysis; physicists and chemists inter­ ested in spectral theory of the Laplace operator and GEOMETRY OF THE LAPLACE OPERATOR the Schroedinger equation. The fundamentals of edited by Robert Osserman and Alan Weinstein Riemann geometry and some knowledge of analysis This book contains a series of papers covering on manifolds is indispensible for the enjoyment and most of the topics that would be subsumed under understanding of the papers included. One will be the heading of "geometry of the Laplace operator." rewarded with an overview of the type of problems In particular, one has the most recent results on in this field under active investigation, and an up-to­ bounds for low eigenvalues of the Laplace operator date report on many of the latest results. in terms of geometric quantities, total distribution of the spectrum in relation to closed geodesics and This symposium received support from the other geometric entities, harmonic mappings, and National Science Foundation. geometric scattering theory. Volume 36, vii + 323 pages (hard cover) The book contains expanded versions of most of List price $18.00, institutional member $13.50, individual member $9.00 the invited lectures and a few contributed papers ISBN 0-8218-1439-7; LC 79-26934 from a symposium held at the University of Hawaii Publication date: February 1980 in March 1979 and represents quite faithfully the To order, please specify PSPUM/360

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294 AMS REPORTS AND COMMUNICATIONS

Recent Appointments Marian Boykan Pour-EI (1982} has been appointed and David A. Sanchez (1982} and Guido L. Weiss (1982} have been reappointed to the Committee on Committee members' terms of office on standing com­ the Agenda by President Peter D. Lax. Continuing mittees expire on December 31 of the year given in members of the committee are Everett Pitcher, parentheses following their names, unless otherwise chairman, and Barnet M. Weinstock (1980}. specified. Ronald L. Graham has been appointed to the Committee to Select the Gibbs Lecturers for 1981 Frederick W. Gehring (1981} and Ronald L. and 1982 by President Peter D. Lax. Other members Graham (1981} were elected to the Executive Com­ of the committee are Ralph S. Phillips (chairman}, mittee of the Council by the Council members. The and Arthur Wightman. other members of the Executive Committee are Felix E. Browder (1980}, Ronald G. Douglas (1980}, At the request of the Executive Committee, Andrew M. Gleason (1983 ex officio}, Peter D. Lax President Peter D. Lax has appointed a Committee (1981 ex officio}, and Everett Pitcher (1980 ex on Translation from Chinese whose members are officio}. T. Y. Lam (chairman}, C. C. Lin, T. P. Liu, and F. P. Peterson. President Peter D. Lax has appointed Stephen Lewis A. Coburn (1982} and William M. Singer Childress (1983}, Stephen H. Crandall (1982}, and (1982} have been appointed by President Peter D. Ronald L. Graham (1981} to the new Editorial Com­ Lax to the Committee on Academic Freedom, mittee for the Proceedings of Symposia in Applied Tenure, and Employment Security. Continuing mem­ Mathematics, with Professor Graham appointed as bers of the committee are A. T. Bharucha-Reid chairman. (1980}, Edwin Duda (1981 }, Mary W. Gray, chairman Irving Kaplansky (1982}, john W. Milnor (1982}, (1980}, and Calvin C. Moore (1980}. and julia B. Robinson (1982}, have been appointed President Peter D. Lax has appointed Steve by President Peter D. Lax to the position of Asso­ Armentrout (1981} and reappointed Todd Dupont ciate Editor of the Bulletin for Research Expository (1981} to the Committee on Legal Aid. Other mem­ Articles. Continuing Associate Editors for Research bers of the committee are Morton L. Curtis, ·ch-air­ Expository Articles are Lipman Bers (1981 }, man (1980}, and Murray Gerstenhaber (1980}. Frederick W. Gehring (1981 }, Donald S. Ornstein (1980}, james B. Serrin (1980}, and Stephen Smale Manuel P. Berriozabal (1982} has been appointed (1981 }, with Felix E. Browder (1980} as chairman. and Gloria F. Gilmer (1982} has been reappointed to the Committee on Opportunities in Mathematics for A group of Associate Editors for Contemporary Disadvantaged Groups by President Peter D. Lax. Mathematics has been appointed by President Peter President Lax has also appointed Richard K. Lashof D. Lax. They will serve with the Editorial Commit­ (1981} chairman of this committee. The continuing tee of Mathematical Surveys which has editorial members of the committee are Lenore Blum (1980}, responsibility for this new book series. The appoin­ james A. Donaldson (1980}, Richard J. Griego tees are jeff Cheeger, Adriano Garsia, Kenneth Kunen, (1980}, and Choy-Tak Taam (1981}. james I. Lepowsky, johannes C. C. Nitsche, and Irving Reiner. The members of the Mathematical R. Creighton Buck has been appointed by Presi­ Surveys committee are Donald W. Anderson (1981 }, dent Peter D. Lax to represent the Society on the james R. Milgram, chairman (1982}, and jane Cronin Public Cryptography Study Group. (See News Item, Scanlon (1980}. page 282.} Philip T. Church (1982} and Frederick W. Gehring Benedict Gross (1982} and Robert I. Soare (1982} have been reappointed to the Trustees' Com­ (1982} have been appointed by President Peter D. mittee on Membership by Richard S. Palais, Chairman Lax to the Committee on Postdoctoral Fellowships, of the Board of Trustees. Continuing members of with Karen Uhlenbeck (1980} appointed as chairman. the committee are A. Bruce Clarke (1981 }, Edward The continuing members of the committee are Robin R. Fadell, chairman (1981 ), Paul C. Fife (1980}, and Hartshorne (1981 }, Bernard Maskit (1981 }, and jack K. Hale (1980}. William P. Thurston (1980}. Murray Gerstenhaber has been appointed chair­ President Elect Andrew M. Gleason (1983} has man of the Trustees' Committee on the Publication been appointed by President Peter D. Lax to the Program by Richard S. Palais, Chairman of the Board Committee on Science Policy. The continuing mem­ of Trustees. The members of the committee are bers of the committee are Richard D. Anderson, Donald W. Anderson, William J. LeVeque (ex officio}, chairman (1981 }, Herbert B. Keller (1983}, Brockway Cleve B. Moler, R. james Milgram, and Everett McMillan (1980}, George D. Mostow (1983}, Ralph Pitcher (ex officio}. S. Phillips (1983}, Linda Preiss Rochschild (1983},

295 I. M. Singer (1980), james D. Stasheff (1983), Elias Gilmer (1981 ), Morris W. Hirsch (1982), Robert M. Stein (1983), and Hans F. Weinberger (1983). Osserman, chairman (1981), and Wilfried Schmid Morris L. Marx (1981) has been reappointed and (1982). Terms of office on this committee expire james D. Stasheff (1981) has been appointed by on February 28 of the year given. President Peter D. Lax to the Committee on Teach­ The following have been appointed to the joint ing Loads and Class Size. Continuing members of AMS-MAA Committee on Arrangements for the San the committee are Judy Green, chairman (1980), and Francisco Meeting (January 7-11, 1981) by AMS George P. Pedrick (1980). President Peter D. Lax and MAA President Dorothy Walter Feit (1982) and john W. Milnor (1982) L. Bernstein: Donald j. Albers, Lenore Blum, William Hirsch, T. Y. Lam, have been reappointed to the Committee on Prizes G. Chinn (chairman), Morris W. Robert Osserman, by President Peter D. Lax. Continuing members of William j. LeVeque (ex officio), A. Ross (ex the committee are Louis Auslander (1980), james C. Kenneth R. Rebman, and Kenneth serve as publicity Cantrell (1980), Murray S. Klamkin (1981 ), Ivan officio). Professor Rebman will Niven, chairman (1981 ), and Mary Ellen Rudin (1980). director. Etta Z. Falconer (AMS, 1982) has been re­ james G. Glimm (1981) has been appointed by appointed to the joint AMS-MAA-NCTM-SIAM Com­ Peter D. Lax to the Committee on National President mittee on Women in Mathematics by President Peter and Public Representation. Current mem­ Awards D. Lax. Continuing members of the committee are are Andrew M. Gleason bers of the committee Mary W. Gray, (AMS, 1980), Pamela Cook-loannidis Peter D. Lax, chairman (1981 ), R. H. Bing (1982), (51 AM, 1982), Israel N. Herstein (AMS, 1981 ), Linda and Everett Pitcher (ex officio). (1980), C. Kaufman (SIAM, 1980), Edith H. Luchins (MAA, George C. Papanicolaou (1983) and Stephen 1982), Margaret S. Menzin (MAA, 1980), Cathleen Wainger (1983) have been appointed to the Commit­ S. Morawetz (SIAM, 1981), jacqueline C. Moss tee on Summer Institutes by President Peter D. Lax. (MAA, 1981 ), and Alice T. Schafer, chairman (AMS, The other members of the committee are Robert 1980).

MATHEMATICAL SURVEYS applications to other areas of mathematics; for ex­ ample, in the simulation of transcendental functions APPROXIMATION BY POLYNOMIALS on computers. In most computers, fixed point arith­ WITH INTEGRAL COEFFICIENTS metic is faster than floating point arithmetic and it by Le Baron 0. Ferguson may be possible to take advantage of this fact in the Results in the approximation of functions by evaluation of integral polynomials to create more polynomials with coefficients which are integers efficient simulations. Another promising area for have been appearing since that of Pal in 1914. The applications of this research is in the design of digital body of results has grown to an extent which seems filters. A central step in the design procedure is the to justify the present book. The intention here is to approximation of a desired system function by a make these results as accessible as possible. polynomial or rational function. Since only finitely The book addresses essentially two questions. many binary digits of accuracy actually can be The first is the question of what functions can be realized for the coefficients of these functions in any approximated by polynomials whose coefficients are real filter the problem amounts (to within a scale integers and the second question is how well are they factor) to approximation by polynomials or rational approximated {Jackson type theorems). For example, functions with integral coefficients. a continuous function f on the interval -1,1 can be This book should make the task of finding out uniformly approximated by polynomials with integral wnat is known in this field significantly easier as it coefficients if and only if it takes on integral values presents an introduction to most of the known re­ at -1, 0 and +1 and the quantity f(1) + f(O) is divisi­ sults in the area of approximation by polynomials ble by 2. The results regarding the second question with integral (integer) coefficients and pointers to the are very similar to the corresponding results regarding literature for the rest. It is accessible to students at approximation by polynomials with arbitrary co­ the graduate level and above. efficients. In particular, nonuniform estimates in Volume 17, xi + 160 pages (hard cover) terms of the modules of continuity of the approxi­ List price $25.60, institutional member $19.20, individual member $12.80 mated function are obtained. ISBN 0-8218-1517-2; LC 79-20331 Aside from the intrinsic interest to the pure Publication date: February 1980 mathematician, there is the likelihood of important To order, please specify SURV/170

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296 Reports of Meetings at these eight hour addresses were Stephen Smale, Paul R. Halmos, Lawrence A. Harris, Ronald G. ANNUAL MEETING IN SAN ANTONIO Douglas, Carl G. J ockusch, Jr., George B. Mostow, Morton Brown, and Cathleen S. Morawetz, The eighty-sixth annual meeting of the American respec­ tively. Mathematical Society was held in San Antonio, A joint session with SIAM was organized by Texas, from January 3 to January 6, 1980. The James McKenna of Bell Laboratories. The speakers meeting was held jointly with the Mathematical and their titles were: RANDOLPH E. BANK, Multi­ Association of America (MAA) and the Society for level iterative methods for the numerical solution of Industrial and Applied Mathematics (SIAM). The elliptic partial differential equations; NEIL A. J. meeting was followed by the AMS Short Course en­ SLOANE, Weighing designs for spectroscopy; and titled Modern Statistics: Methods and Applications. KENNAN T. SMITH, Mathematics and radiology. There were 2,758 registrants, including 2,012 mem­ The AMS and MAA cosponsored an invited ad­ bers of the Society. dress by PERSI W. DIACONIS, of Bell Laboratories, The fifty-third Lecture was who spoke on Mathematical problems in ESP re­ presented by KENNETH G. WILSON of Cornell Uni­ search. The AMS and MAA also cosponsored a talk versity. Professor Wilson spoke on The statistical by the new AMS-MAA-SIAM Congressional Science continuum limit and was introduced by Peter D. Lax. Fellow, ROBERT T. SMYTHE. The Colloquium Lectures were given by WOLF­ Special Sessions. There were sixteen special ses­ GANG M. SCHMIDT of the University of Colorado, sions of selected papers as follows: Boulder. The title of the lecture series was Various Riesz spaces and positive operators, organized by methods in number theory. The four lectures were CHARALAMBOS ALIPRANTIS and OWEN titled: Analytic methods in Diophantine equations; BURKINSHAW of Indiana-Purdue University at Analytic methods in Diophantine inequalities; Appli­ Indianapolis. The speakers were Richard A. Alo, cations of combinatorics to congruences; Algebraic Maynard G. Arsove, Owen Burkinshaw, William J. differential equations, and equations over polynomial Davis, William Alan Feldman, Anthony W. Hager, rings. The presiding officers for the four lectures Taqdir Husain, N. J. Kalton, Przemyslaw Kranz, were Peter D. Lax, William J. LeVeque, Paul T. Wilhelmus A. J. Luxemburg, James F. Porter, A. R. Bateman, and Hugh L. Montgomery, respectively. Schep, Stephen Simons, Ahmed Ramzey Sourour, The Retiring Presidential Address was delivered and Charles T. Tucker. by R. H. BING of the University of Texas, Austin. Orthogonal polynomials, organized by RICHARD His lecture was titled The tricks of the trade. He was A. ASKEY of the University of Wisconsin, Madison. introduced by Peter D. Lax. The speakers were Richard A. Askey, Eiichi Bannai, F. Beukers, D. Bressoud, Claude Brezinski, F. Two Frank Nelson Cole Prizes in Algebra were Calogero, Theodore S. Chihara, G. V. Chudnovsky, awarded. The recipients were Michael Aschbacher J. S. Dehesa, Dominique Dumont, Yves V. Genin, of the California Institute of Technology, and Melvin Eberhard Hahn, Thomas Kailath, John Nuttall, Hochster of the University of Michigan, Ann Arbor. Andrew M. Odlyzko, William P. Reinhardt, and G. Further details of the award session were given on Viennot. pp. 164-166 of the February 1980 Notices. Nonsufficiently large 3-manifolds, organized by Invited Addresses. By invitation of the Program JOAN S. BIRMAN of Columbia University and Committee, there were eight invited one-hour addres­ JOACHIM H. RUBINSTEIN of the University of ses. The speakers and the titles of their talks were: Melbourne. The speakers were Joan S. Birman, ENRICO BOMBIERI, Institute for Advanced Study, Michael Davis, David Gabai, Alan Hatcher, Hugh M. Diophantine approximation and ordinary linear differ­ Hilden, S. J. Lomonaco, Jr., Steven P. Plotnick, ential equations; HARRY FURSTENBERG, Hebrew Joachim H. Rubinstein, Peter B. Shalen, and William University, Number theory and the structure of P. Thurston. ergodic processes; KENNETH R. GOODEARL, Uni­ The fixed-point property, organized by MORTON versity of Utah, von Neumann regular rings: connec­ BROWN of the University of Michigan, Ann Arbor. tions with functional analysis; J. WILLIAM HELTON, The list of speakers: Harold Bell, Beverly L. Brechner, University of California, San Diego, Operator theory, Joseph B. Fugate, Charles L. Hagopian, Lee K. Mohler, complex variables, and power transfer in electronic and James T. Rogers, Jr. circuits; PETER G. HINMAN, University of Michigan, C*-algebras and operator theory, organized by Ann Arbor, Computability, induction, and definability: ROBERTS. DORAN, Texas Christian University. current trends in recursion theory; VICTOR G. KAC, The speakers were Lawrence G. Brown, Ronald G. Massachusetts Institute of Technology, Infinite-dimen­ Douglas, Edward Effros, Frank L. Gilfeather, Elliot sional Lie algebras and their relations with other C. Gootman, Paul R. Halmos, Lawrence A. Harris, fields of mathematics; WILLIAM P. THURSTON, Jon athan M. Rosenberg, Donald C. Taylor, and Steve Princeton University, Three-manifolds and eight J. Wright. Of these, Effros and Halmos presented geometries; FRANCOIS TREVES, Rutgers University, fifty-minute survey talks. A new approach to overdetermined systems of linear Singular integrals and harmonic analysis, or­ partial differential equations. The presiding officers ganized by EUGENE B. FABES of the University of

297 Minnesota, Minneapolis. The list of speakers: Alice W. j. Reed, Chris Rorres, David A. S~nchez, Kenneth Sun-Yung Chang, Robert A. Fefferman, John Gilbert, E. Swick, Maynard D. Thompson, and Glenn F. Webb. Richard F. Gundy, DavidS. Jerison, Peter Jones, Societal mathematics, organized by DONALD Carlos E. Kenig, jeff E. Lewis, Robert B. Lockhart, L. THOMSEN, Jr., of the SIAM Institute for Mathe­ Nicholas S. Miller, Umberto Neri, Cora S. Sadosky, matics and Society. The speakers were Jerome Gary Sampson, Elias M. Stein, j. 0. Stromberg, Eisenfeld, Thomas M. Leschine, Paul Switzer, John Peter A. Tomas, Alberto Torchinsky, Stephen Wainger, Van Ryzin, and Alice S. Whittemore. and Wo-Sang Young. Structure of continua, organized by LEWIS E. Minimal submonifolds, organized by F. REESE WARD, Jr., of the University of Oregon. The HARVEY of Rice University. The speakers were speakers were David P. Bellamy, Donald Bennett, William K. Allard, Frederick j. Almgren, Jr., Robert Carl Eberhart, Edward E. Grace, Jack T. Goodykoontz, L. Bryant, Robert M. Hardt, F. Reese Harvey, David Jr., Charles L. Hagopian, Andrzej Lelek, john R. Lewis Johnson, Frank Morgan, Robert Osserman, and Martin, Sam B. Nadler, Jr., james T. Rogers, Jr., Jon T. Pitts. Raymond E. Smithson, L. Bruce Treybig, Edward D. Commutative rings and algebraic geometry, or­ Tymchatyn, Eldon j. Vought, and Lewis E. Ward, Jr. ganized by MELVIN HOCHSTER of the University Differentiable dynamical systems, organized by of Michigan, Ann Arbor. The speaker list: Willy ROBERT F. WILLIAMS of Northwestern University. Branda(, Igor Dolgachev, Charles C. Hanna, Craig L. The list of speakers: Daniel Asimov, joan S. Birman, Huneke, Mohan Kumar, joseph Lipman, Shigefumi Paul R. Blanchard, Louis S. Block, John M. Franks, Mori, Paul Roberts, judith D. Sally, Richard P. David C. Fried, William Mark Goldman, Sue E. Stanley, Robert C. Valentini, Wolmer V. Vasconcelos, Goodman, David C. W. Hart, Morris W. Hirsch, and Marie A. Vitulli. Michael Hurley, Mark Levi, John Mallet-Paret, Brian Cohomology and representations of algebraic Marcus, Dennis G. Pixton, and Lai-Sang Young. groups, organized by JAMES E. HUMPHREYS of HANS G. KAPER of Argonne National Labora­ the University of Massachusetts, Amherst, and BRIAN tory and RUTGER j. HANGELBROEK of the Uni­ j. PARSHALL of the University of Virginia. The versity of Texas, San Antonio, organized an informal speakers were Jonathan D. Arnon, John W. Ballard, workshop on Transport theory. Leonard Chastkofsky, Edward T. Cline, William There were fifty-five sessions of contributed ten­ Haboush, james E. Humphreys, V. Lakshmibai, minute papers, including four sessions for late and George Lusztig, and Joyce O'Halloran. Of these, rescheduled papers. These sessions were chaired by Oine, Humphreys and Lusztig presented fifty-minute Bruce A. Anderson, Lowell W. Beineke, George R. talks. Blanton, Jr., Theodore S. Chihara, james D. Child, Banach spaces, organized by H. ELTON LACEY Paul W. Davis, Arthur DuPre, Carl Eberhart, Gary D. of the University of Texas, Austin. The list of Faulkner, Gene G. Garza, Leon M. Hall, Frederick speakers: Israel Aharoni, Dale E. Alspach, Jonathan Hoffman, john M. Holte, Rodney T. Hood, james F. Arazy, Peter G. Casazza, William j. Davis, Leonard Hurley, Douglas E. jackson, john jones, Jr., Clark E. Dor, Simon Peter Fitzpatrick, Robert C. james, H. Kimberling, Constantine Kliorys, jeanne LaDuke, William B. Johnson, Philip W. McCartney, Peter D. S. Leela, Daniel j. Madden, David P. Mather, Richard Morris, N. j. Nielsen, Haskell P. Rosenthal, Nina M. S. Millman, Kenneth R. Mount, Gary L. Mullen, Roy, G. Schechtman, j. jerry Uhl, Jr., and John E. Francis J. Narcowich, Carla C. Neaderhouser, Roger Wolfe. B. Nelson, Kirti K. Oberai, Allan C. Peterson, Hala Nonstandard analysis, organized by PETER A. Pflugfelder, Wayne B. Powell, Gerard P. Protomastro, LOEB of the University of Illinois at Urbana­ Samuel M. Rankin Ill, S. E. Rodabaugh, R. E. Roth, Champaign. The list of speakers: Robert M. Leonard R. Rubin, Mary Bech Ruskai, Howard Anderson, Donald j. Brown, Max Dresden, C. Ward Sherwood, john Carson Simms, Barbara Smith-Thomas, Henson, Albert E. Hurd, H. Jerome Keisler, Gregory A. B. Stephens, George Szeto, W. E. Taylor, Jr., F. Lawler, Peter A. Loeb, Wilhelmus A. j. Luxemburg, David E. Tepper, Stuart S.-S. Wang, William P. Lawrence C. Moore, Jr., Edwin Arend Perkins, K. D. Wardlaw, Richard H. Warren, Bill Watson, Stephen Stroyan, and Frank A. Wattenberg. james Wolfe, and Steve j. Wright. Singularities, organized by PETER P. ORLIK of the University of Wisconsin, Madison, had the follow­ Kenneth A. Ross ing speakers: P. Blass, james B. Carrell, Alan Durfee, Eugene, Oregon Associate Secretary Louis H. Kauffman, Kenneth R. Mount, W. Neumann, Richard C. Randell, Tatsuo Suwa, P. Emery Thomas, Philip D. Wagreich, john W. Wood, and F. T. Yau. Linear and nonlinear age-dependent models of Council and Business Meetings population growth, organized by DAVID A. SANCHEZ of the University of New Mexico. The list of speakers:. David H. Anderson, Fred G. Brauer, The Secretary's report of the Council Meeting Kenneth L. Cooke, james C. Frauenthal, joan M. held on january 2 and of the Business Meeting held Geramita, Wayne M. Getz, Morton E. Gurtin, Charles on january 4 appeared on page 208 of the February E. Hughes, Thomas G. Kurtz, Richard C. MacCamy, 1980 Notices.

298 Officers of the Society 1979 and 1980 Except for the Members-at-Large of the Council, the month and year of the first term and the end of the present term are given. For Members-at-Large of the Council, the last year of the present term is listed. COUNCIL President: Peter D. Lax 1/79-12/80 Associate Secretaries Ex-president: R. H. Bing 1/79-12/79 Raymond G. Ayoub 1/77-12/80 President-elect: Andrew M. Gleason 1/80-12/80 Paul T. Bateman 1/67-12/81 Vice Presidents Frank T. Birtel 1/77-12/80 1/80-12/80 Kenneth A. Ross 1/71-12/81 George D. Mostow 1/79-12/80 Treasurer Julia B. Robinson 1/78-12/79 Franklin P. Peterson 8/73-12/80 Mary Ellen Rudin 1/80-12/80 Associate Treasurer George W. Whitehead 1/78-12/79 Steve Armentrout 7/77-12/80 Secretary: Everett Pitcher 1/67-12/80 Members-at-large All terms are for 3 years and expire on December 31 of the given year 1979 1980 1981 1982 Theodore W. Gamelin Joan S. Birman Chandler Davis Frederick W. Gehring Richard J. Griego Lenore Blum Robert P. Gilbert Lee Lorch Karl H. Hofmann James A. Donaldson Johan H. B. Kemperman Richard S. Millman Henry P. McKean Murray Gerstenhaber Karen Uhlenbeck Marian B. Pour-EI Linda Preiss Rothschild Ronald L. Graham Daniel H. Wagner David A. Sanchez Stephen S. Shatz* Publications and Communications Committees Bulletin Editorial Committee Representatives on American Journal of Mathematics Felix E. Browder 1/78-12/80 Victor W. Guillemin 1/78-12/80 Paul R. Halmos 1/74-12/79 Richard H. Swan 5/77-12/82 I. M. Singer 1/79-12/81 Mathematical Reviews Editorial Committee Proceedings Editorial Committee Paul T. Bateman 9/77-12/82 Thomas A. Chapman 1/76-12/79 Elwyn R. Berlekamp 1/79-12/81 Ronald G. Douglas 1/77-12/80 Carl M. Pearcy 3/78-12/80 David Eisen bud 1/78-12/81 Mathematical Surveys Editorial Committee Richard R. Goldberg 1/73-12/79 Donald W. Anderson 1/79-12/81 William E. Kirwan 1/80-12/83 R. James Milgram 1/77-12/82 David J. Lutzer 1/80-12/83 Jane Cronin Scanlon 1/78-12/80 Robert R. Phelps 1/78-12/81 Mathematics of Computation Editorial Committee Reinhard E. Schultz 1/80-12/83 James H. Bramble 1 /73-12/80 Joseph A. Wolf 1/76-12/79 Carl de Boor 1/77-12/82 Lawrence A. Zalcman 1/79-12/82 Walter Gautschi 1/75-12/80 Transactions and Memoirs Editorial Committee Daniel Shanks 1/79-12/81 1/79-12/82 Solomon Feferman 1/7 6-12/79 Colloquium Editorial Committee W. A. J. Luxemburg 4/77-12/81 John W. Milnor 1/79-12/81 Jan Mycielski 1/80-12/83 Stephen Smale 1/78-12/80 Steven Orey 1/79-12/82 Elias M. Stein 1/77-12/82 Paul H. Rabinowitz 1/80-12/83 Chairmen, Committee to Monitor Problems Robert T. Seeley 1/76-12/79 in Communication James D. Stasheff 1/78-12/81 Philip T. Church 1/80-12/80 R. 0. Wells, Jr. 1/79-12/82 George B. Seligman 1/79-12/79 BOARD OF TRUSTEES Steve Armentrout (ex officio) 7/77-12/80 Richard S. Palais 1/72-12/81 Joseph J. Kohn 1/78-12/82 Franklin P. Peterson Peter D. Lax (ex officio) 1/79-12/80 (ex officio) 8/73-12/80 Calvin C. Moore 1/71-12/79 Alex Rosenberg 1/74-12/83 Cathleen S. Morawetz 1/76-12/80 P. Emery Thomas 1/80-12/84

*Member-at-large during 1979 only, as provided for in Article 7, Section 4 (last sentence) of the Bylaws of the Society.

299 ALGORITHMIC GRAPH THEORY AND PERFECT GRAPHS By MARTIN CHARLES GOLUMBIC A Volume in the COMPUTER SCIENCE AND APPLIED MATHEMATICS Series FROM THE FOREWORD BY CLAUDE BERGE: the structure of permutation graphs, interval graphs, Research in graph theory and its applications has circle graphs, threshold graphs, perfect graphs, and increased considerably in recent years. Typically, others. The reader will not find motivations drawn the elaboration of new theoretical structures has mo- from number theory, as is usual for most of the ex- tivated a search for new algorithms compatible with tremal graph problems, or from such refinements of those structures. Rather than the arduous and sys- old riddles as the four-color problem and the Ham- tematic study of every new concept definable with a iltonian tour. Instead, Golumbic has selected prac- graph, the main task for the mathematician is to tical problems that occur in operations research, eliminate the often arbitrary and cumbersome defini- scheduling, econometrics, and even genetics of ecol- tions, keeping only the "deep" mathematical prob- ogy .... It is clear that this book brings a new point lems .... This book, by Martin Golumbic, is intend- of view and deserves a special place in the literature. ed as an introduction to graph theory through just 1980, 304 pp., $29.50 ISBN: 0-12-289260-7 these practical problems, nearly all of them related to Two Volumes in the PURE AND APPLIED MATHEMATICS Series AN INTRODUCTION TO VARIATIONAL INEQUALITIES AND THEIR APPLICATIONS By DAVID KINDERLEHRER and GUIDO STAMPACCHIA CHAPTER HEADINGS: Introduction. Variational In­ and Systems. Applications of Variational Inequalities. equalities iri Rn. Variational Inequalities in Hilbert A One Phase Stefan Problem. Bibliography. Index. Space. Variational Inequalities for Monotone Opera­ Comments, Bibliographical Notes, and Exercises ap­ tors. Problems of Regularity. Free Boundary Prob­ pear at the end of each chapter. lems and the Coincidence Set of the Solution. Free 1980, 336 pp., $35.00 ISBN: 0-12-407350-6 Boundary Problems Governed by Elliptic Equations AN INTRODUCTION TO CLASSICAL COMPLEX ANALYSIS, Vol. 1 By ROBERT B. BURCKEL CHAPTER HEADINGS: Prerequisites and Preliminar­ Runge Theory. The Riemann Mapping Theorem. Sim­ ies. Curves, Connectedness and Convexity. (Com­ ple and Double Connectivity. Isolated Singularities. plex) Derivative and (Curvilinear) Integrals. Power Omitted Values and Normal Families. Bibliography. Series and the Exponential Function. The Index and Name Index. Subject Index. Symbol Index. Series Some Plane Topology. Consequences of the Cauchy­ Summed. Integrals Evaluated. Goursat Theorem-Maximum Principles and the Lo­ Notes appear at the end of each chapter. cal Theory. Schwarz Lemma and its Many Applica­ 1980, 570 pp., $45.00 ISBN: 0-12-141701-8 tions. Convergent Sequences of Holomorphic Func­ Academic Press Sales Territory: North and South tions. Polynomial and Rational Approximation- America. TABLE OF INTEGRALS, SERIES, AND PRODUCTS By I. S. GRADSHTEYN and I. M. RYZHIK Corrected and Enlarged Edition Prepared by: ALAN JEFFREY CONTENTS: (CHAPTER HEADINGS): Introduction. tions. Vector Field Theory. Algebraic Inequalities. Elementary Functions. Indefinite Integrals of Elemen- Integral Inequalities. Matrices and Related Results. tary Functions. Definite Integrals of Elementary Func- Determinants. Norms. Ordinary Differential Equa- tions. Indefinite Integrals of Special Functions. Defi- tions. Fourier and Laplace Transforms. nite Integrals of Special Functions. Special Func- 1980, 1,248 pp., $19.50 ISBN: 0-12-294760-6 Continuation Orders authorize us to ship and bill This order will remain in effect until cancelled. Speci­ each volume in a series, or "Advances" publica­ fy the volume number or title with which your order tion automatically, immediately upon publication. is to begin. Send payment with order and save postage and handling charge. Prices are subject to change without notice.

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POSITIONS AVAILABLE TEXAS A&M UNIVERSITY AT GALVESTON, AssistaJJ.t Professor, tenure-track, starting Fall1980, Requires DEPARTMENT OF lVIATHE:MATICS, THE CLEVELAND Ph.D,, teaching excellence and research. Undergraduate STATE UNIVERSITY: Applications are invited for the Math through Differential Equations and Applied Math for position of Chairperson, Department of Mathematics, Engineers, TAMU at G!llveston, a growing institution, starting 1980, Qualifications include proven research presently offers Bachelor degrees in Marine-related ability, commitment to quality teaching and leadership programs: Administration, Biology, Engineering, Sciences, ability. The Department has 28 full-time faculty members Transportation. Graduate programs: Biology, Wildlife & and offers programs leading to B. A, or B, s. in Mathe­ Fisheries Science, Math faculty teaches in all degree matics, M.S. in Applied Mathematics, and M.A. for programs through the Department of General Academics, Mathematics Teachers, The salary is negotiable. Search Opportunity for research, Send dossier, including vita has been reopened, Applications should include a rllsumll and three letters of recommendation, to: and three letters of reference, and should be addressed Dr. Stephen Curley to: Search Committee, Department of Mathematics, Math/General Academics Cleveland State University, Cleveland, Ohio 44115, Equal Texas A&M University at Galveston opportunity employer M/F/H. P. 0, Box 1675 Galveston, Texas 77553 UNIVERSITY OF AUCKLAND TAMU at Galveston is an Equal Opportunity/Affirmative New Zealand Action Employer, POSTDOCTORAL FELLOWSillP -MATHEMATICS VILLANOVA UNIVERSITY Applications are invited for a Fellowship to begin during ASSISTANT PROFESSORSIDPS the period 1 February 1980 to 28 January 1981, The Fellowship is tenable in the Department of Mathematics AVAILABLE FALL 1980 for up to 12 months. It is for the purpose of carrying out Applications are invited for the position of Assistant advanced research in the field of Topology, but the suc­ cessful applicant may be expected to participate in limited Professor in the Mathematics Department. One-, two-, teaching activities, The Fellowship is primarily open to and three-year appointments with the possibility of re­ candidates of any age who have completed the require­ newal are available. Candidates should possess the Ph. D. ments for the Ph.D. degree at any university other than degree and have a strong interest in undergraduate and the University of Auckland, not more than four years graduate teaching as well as mathematical research. before the time of application. Remuneration will be $800 Applicants in the areas of numerical analysis, operations research, statistics, simulation, differential equations per month (taxable), Where applicable, a return fare w111 and combinatoric a are preferred. Applicants should send be paid for the Fellow only. Prospective candidates a resume with the names and addresses of three refer­ seeking further information should write directly to Dr. ences to: D. B. Gauld, Department of Mathematics. Conditions of Robert E. Beck, Chairperson Appointment and application forms are also available from Mathematics Department the AssistaJJ.t Registrar (Academic Appointments), Uni­ Villanova University versity of Auckland, Applications, on the official applica­ Villanova, Pennsylvania 19085 tion forms, will be accepted at any time up to 25 May 1980. D, W. PULLAR, Registrar Villanova University is an Equal Opportunity/Affirmative University of Auckland Action Employer. Private Bag, Auckland New Zealand LEIDGH UNIVERSITY

REED COLLEGE The Department of Mathematics of Lehigh University in­ Department of Mathematics vites applications for two positions at the Assistant Pro­ Portland, Oregon 97202 fessor level, one in the Division of Computing and Infor­ H.E. Chrestenson, Chairman mation Science, one in Mathematics with preferred fields Assistant Professor for one year (with a possibility of being mathematical logic or analysis. Responsibilities at most one additional year) to teach undergraduate math­ include undergraduate and graduate teaching and research, ematics, starting September 1980. About twelve class The Ph. D. degree with a strong potential for excellence hours per week, Doctorate desirable, Salary approximately in teaching and research is required. $15, 500 plus fringe benefits, This is a non-tenure track Send resume to G. Stengle, Chairman, Department of position replacement for faculty on leave, Reed College is Mathematics, Lehigh University, Bethlehem, Pennsyl­ an equal opportunity employer. vania 18015.

301 POSITIONS AVAILABLE UNIVERSITY OF CHICAGO DEPARTMENT OF MATHEMATICS Department of Mathematics MATHEMATICS LECTURE NOTES 1979-1980 THE UNIVERSITY OF IOWA The following notes are currently available from the Opening for a visiting faculty member. Selection criteria Department of Mathematics, University of Chicago. Or­ will include the potential of productive research, inter­ ders and payments should be sent to: Mathematics Lecture action with regular faculty, teaching credentials, etc. To Notes, University of Chicago, Department of Mathematics, apply send vita and have three letters of reference sent to: 5734 s. University Avenue, Chicago, illinois 60637. Add R. H. Oehmke, Department of Mathematics, The Univer­ 50¢ postage and handling for each item ordered. sity of Iowa, Iowa City, Iowa 52242. The University of Iowa is an affirmative action and equal opportunity FULL PAYMENT MUST ACCOMPANY THE ORDERS employer. RECENT PUBLICATIONS: J. G. ARTHUR: Harmonic ASSISTANT PROFESSOR Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One, 1979, $5. 00; P, C. TROMBI: Applications are invited for an opening at the Assistant On Harish-Chandra•s Theory of the Eisenstein Integral for Professor level, starting fall semester, 1980. Minimum Real Semisimple Lie Groups, 1979, $5. 00; M, S. requirements: Ph. D. , evidence of strong research poten­ OSBORNE: Lefschetz Formulas on Non-Elliptic Com­ tial and teaching ability. Background in Applied Mathe­ plexes, 1978, $3. 50; M. S, OSBORNE: Spectral Theory matics preferred. and Uniform Lattices, 1977, $3. 50; I. KAPLANSKY: Send vitae and at least three letters of recommendation to Hilbert's Problems, preliminary edition, 1977, $5. 00, Professor Warren S, Edelstein, Department of Mathe­ Also: ADAMS, J. F., Localisation and completion matics, ILLINOIS INSTITUTE OF TECHNOLOGY, with an addendum, 1975, $4. 00; CHERN, S. S,, Differ­ Chicago, illinois 60616. entiable manifolds, 1959, $3. 50; ElLENBERG, s., Foun­ dations of fibre bundles, 1957, $3. 00; GELBART, S. , An Equal OpportunityI Affirmative Action Employer. Automorphic forms and representations of adele groups, 1975, $3. 00; GRANAS, A., Introduction to the topology of Research Assistant Professor function spaces, 1961, $3. 50; HERSTEIN, I., Theory of rings, revised Dec. 1968, 1961, $3. 00; HOCHSCHILD, Three-year Research Assistant Professor, starting salary G., ·Representation theory of Lie algebras, 1959, $3. 00; $18,000, to work on dynamical systems and information IYANAGA, S,, Class field theory, 1961, $3. 00; science problems related to mathematical biology and KAPLANSKY, I,, Topics in commutative ring theory, psychology. Non-tenure-track position, Contact: Professor 1974, $4. 50; KAPLAN SKY, I., Bialgebras, 1975, $3. 00; Stephen Grossberg, Department of Mathematics, Boston KUBOTA, T,, Notes on the analytic theory of numbers, University, Boston, MA 02215, BOSTON UNIVERSITY is 1963, $3. 00; KUGA, M., Fibre varieties over a sym­ an Affirmative Action/Equal Opportunity Employer. metric space (2 vols. ), 1964, $7. 00; LASHOF, R, K., Theorems of Browder & Novikov on homotopy equiv. , 1963, $3. 00; LAWVERE, F., An elementary theory of FOR SALE the category of sets, 1964, $3.00; LAWVERE, F., Vari­ Amer, Math. Soc, Bulletins 1951 thru 1968; Amer, Math, able sets etendu and variable structure in topoi, 19 76, $3. 00; MAC LANE, Assoc. Monthly 1955 thru 1974; send offer to: S., Simplicial topology, 1959, $3. 00; MAC LANE, S., Axiomatic set theory, 1964, $3. 00; L. Weihe, 1166 Dunsmuir, Livermore, CA 94550, MAC LANE, S., Geometrical Mechanics (2 vols. ), 1968, $7. 00; MURAKAMI, S,, Cohomology groups of vector­ E. B. CHRISTOFFEL AND HIS TIMES valued forms, 1967, $4.50; MURTHY, M.P., Commuta­ tive algebra (2 vols. ), 1974, $8. 00; SERRIN, J., Foun­ Those lectures of the International Christoffel Symposium, dations of.classical dynamics, 1975, $5.50; SMITH, L. held on Nov. 8-11, 1979, at Aachen and Monschau, deal­ & BRUMFIEL, G., Lectures on complex bordism of ing with the biography of Christoffel (1829-1900), a brief finite complexes (Smith) Cobordism (Brumfiel), 1970, account of his work in mathematics, physics and mechan­ $3.50; TOM DIECK, T., The Burnside ring and equiv. ics, and his professorial years in ZUrich from 1862 to stable homotopy, 1975, $3. 00; WElL, A., Discontinuous 1869, have been collected in the booklet: "Elwin Bruno subgroups of classical groups, 1958, $3. 00, Christoffel, 10. XI. 1829 (Monschau)-15, ill.1900 (Strass­ burg), Professor der Mathematik in ZUrich, Berlin, Strassburg. Gedenkschrift zur 150. Wiederkehr des SITUATIONS WANTED Geburtstages. " It appeared in Heimatbllttter des Kreises Aachen, 34/35 (1978/79), no. 3-4-1, 80 pp. (with 67 illus­ Situations wanted advertisements should be submit­ trations), and may be ordered at the special price of ted on forms available from the Providence office of the DM 3. 60 (= $2. 20) from: Oberkreisdirektor, Kreishaus, Society. For special provisions concerning these adver­ Zollernstr. 10, 5100 Aachen, Federal Republic of tisements, see page A-355 of the April 197~ Notices. Germany. The booklet also contains papers on Christoffel's professional years in Berlin and Strassburg, on his gram­ MATHEMATICIAN. Ph.D, 1980. Speciality: Functional mar school years at Cologne, his birthplace Monschau, Analysis-Vector Lattice Measures. Some course work in and his genealogy. The authors are P, L. Butzer, M. A. Computer Science. Research fellow for six years. De­ Knus, E. Knobloch, F, R, Wollmershltuser, K. v. sires academic or industrial position. Available imme­ Meyenn, R. Dieregsweiler, H. Steinrtlx and M. Jansen, diately. Address SW-62, Editorial Department, American respectively. Mathematical Society.

302 R • A l • Larry Baggett ourzer na yszs ~:~v~::~~no~~!.:rado

This book is for students at the first or second year graduate level. It can be used as part of an introductory course in real analysis, or as a separate one term course following real analysis. It presents the fundamentals in a clear and readable form. The large number of exercises cover a wide range of difficulty. It includes applications toP DE, H 2 spaces, central limit theorem. A novel feature is a topic on improvement of convergence and the structure of functions defined by Fourier Series.

CONTENTS Part II The Fourier Transform Introduction. Notation Part I Fourier Series Chapter 6. The Fourier Transform Introduction. Notation 6.1 The Fourier Transform 6.2 Examples 6.:3 Uniqueness Chapter 1. The Fourier Coefficients 6.4 Convolution "' 1.1 Interval and Circle. Fourier Coefficients 6.i'i Inversion. Recapturing f from f = J f 1.2 Uniqueness 6.6 The Fourier Transform on L 2 1.:3 Kernels and Approximate Identities Chapter 7. Applications Chapter 2. Convergence 7.1 Introduction 2.1 The Dirichlet Kernel 7.2 The Central Limit Theorem 2.2 The Dini Condition 7.a Heat Conduction in an Infinite Rod 2.3 The Sine Integral Function 7.4 The Dirichlet Problem for the Half Plane 2.4 .r ':' lr _, sin lr .r. Gibbs' Phenomenon 7.ii H 2 of the Half Plane 2.ii A non-Fourier Trigonometric Series 7.6 The Hilbert Transform 2.6 Other Criteria. Differentiation and Integration Part III Generalizations Introduction Chapter 3. Summability: Recapturing f from< c n tf!> Chapter 8. Generalized Functions :u Introduction. Summability R.l Nonintegrable Functions. 3.2 The Lebesgue Set Weak Convergence 3.:3 Cesaro Summability. The Fejer Kernel ll.2 Distributions :3.4 Abel Summability. The Poisson Kernel R.a The Measure Algebra M (R). Fourier­ Stieltjes Transforms. Chapter 4. Mean Convergence: The L" Theory Chapter 9. Abstract Harmonic Analysis. 4.1 Hilbert Spaces The Gelfand Transform 4.2 Fourier Series in U 9.1 Introduction. Banach Algebras 9.2 The Gelfand Transform of a Banach Chapter 5. Applications Algebra ii.l Laplace's Equation in the Disk ii.2 The Heat Equation Chapter 10. Examples of the Gelfand 5.3 Comments on the Methods of Sections 5.1 Transform and 5.2 10.1 The Fourier Transform i'i.4 H 2 of the Disk 10.2 Fourier Series i'i.ii Improvement of Convergence. Structure 10.3 The Laplace Transform of Functions Defined by Fourier Series 10.4 The Banach Algebra £1 (Z)

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• anjou press, inc Price: $22.00 ap1 po box 4307 boulder, co 80306 183 pages

303 1.1.1 Annals of Mathematics Studies CONTINUOUS COHOMOLOGY, DISCRETE SUBGROUPS, AND REPRESENTATIONS OF u REDUCTIVE GROUPS SEMINAR ON SINGULARITIES OF SOLUTIONS OF LINEAR A. Borel and N. Wallach PARTIAL DIFFERENTIAL This book is concerned mainly z EQUATIONS with two types of cohomology spaces pertaining to a reductive Edited by Lars Hormander Lie group G (real, p-adic, or product 1.1.1 Singularities of solutions of differen­ of such groups) and a discrete tial equations forms the common cocompact subgroup T of G. #94. theme of these papers taken from Cloth, $22.50. Paper, $10.00 ....I a seminar held at the Institute for Advanced Study in Princeton Princeton Studies in ....I 1977-1978. #91. Cloth, $18.50. Mathematical Economics Paper, S7.50 DEMAND FUNCTIONS AND THE 1.1.1 SLUTSKY MATRIX S.N. Afriat In a comprehensive survey and u critique of the Slutsky theory and the pattern to which it belongs in the economic context, S.N. Afriat offers a resolution of questions >< central to its main idea, including sufficient conditions as well. H7 1.1.1 $16.50

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CONVEXITY IN THE THEORY OF LATTICE GASES II Robert B. Israel With an Introduction by ArthurS. Wightman THE CLASSIFYING SPACES FOR In this book, Robert Israel SURGERY AND COBORDISM OF considers classical and quantum MANIFOLDS lattice systems in terms of z lb Madsen and R. james Milgram equilibrium statistical mechanics. Beginning with a general discussion Arthur Wightman's Introduction of bordism, Professors Madsen and gives a general and historical Milgram present the homotopy perspective on convexity in 0 theory of the surgery classifying statistical mechanics and spaces and the classifying spaces thermodynamics. Cloth, $16.00. for the various required bundle Paper, $6.95 1- theories. #92. Cloth, $20.00. Paper, 58.50 WORKS ON THE FOUNDATIONS 1.1.1 OF STATISTICAL PHYSICS Nikolai Sergeevich Krylov Translated by A. B. Migdal, Ya. G. Sinai, and Yu. L. Zeeman u SEMINAR ON MICRO-LOCAL Introduction by A. B. Migdal and ANALYSIS V. A. Fock Victor Guillemin, Masaki Kashiwara, Afterword by Ya. C. Sinai and Takahiro Kawai Presented here in English transla- z Based on a seminar sponsored by tion, Krylov's work-in the words the Institute for Advanced Study in of the translators-"will stir the 1977-1978, this set of papers intro- imagination of everyone who is duces micro-local analysis concisely interested in the problem of the and clearly to mathematicians with relationship between predeter- an analytical background. #93. mined and random phenomena." A Cloth, S17.00. Paper, $6.50 Cloth S19 50 Paper, $7.50 ...... ,...... · ......

304 ------~------~ NON-ABELIAN CLOSED IDEALS ;;a OF TRANSITIVE LIE ALGEBRAS Jack F. Conn The purpose of this book is to -z provide a self-contained a~c~unt, accessible to the non-speCialist, of n algebra necessary for the solution of the integrability problem for m transitive pseudo group structures. ~ /125. $7.50 0 Princeton Series in z Mathematics HIE CARTAN AND ALBERT EINSTEIN: LETTERS ON ABSOLUTE HALE COHOMOLOGY PARALLELISM c: Edited by Robert Debever J. S. Milne Published here in the original In order to provide an introduction z German and French, along with an to etale cohomology that is more English translation, the correspon­ accessible than the original papers dence between Albert Einstein and by A. Grothendieck and M. Artin, - J. S. Milne offers this relatively < Elie Cartan includes letters written between 1929 and 1932, after elementary account covering the m which time Einstein abandoned his essential features of the theory. ;;a unified field theory based on abso­ /133. $26.50 lute parallelism. Published jointly flj. with the Academie Royale des MATHEMATICAL STATISTICAL Sciences, des Lettres et des Beaux­ MECHANICS Arts de Belgique $20.00 Colin J. Thompson -~ First published in 1972 but out ?f Mathematical Notes print for the past three years, th1s -< book is now available in a simul­ INTRODUCTION TO HARMONIC taneous cloth and paperback ANALYSIS ON REDUCTIVE edition. While most introductions P-ADIC GROUPS to statistical mechanics are either Allan J. Silberger too mathematical or too physical, Based on a series of lectures given Colin Thompson combines mathe­ by Harish-Chandra at the Institute matical rigor with familiar physical for Advanced Study in 1971-1973, materials. Cloth, $15.00. this book provides an introduction Paper, $5.95 to the theory of harmonic analysis on reductive p-adic groups. /123. $11.00 "'0 ;Ia LECTURES ON PSEUDO­ - DIFFERENTIAL OPERATORS z REGULARITY THEOREMS AND n APPLICATIONS TO NON-ELLIPTIC ""-1 PROBLEMS 0 A. Nagel and E.M. Stein The theory of pseudo-differential ,z operators (which originated as z singular integral oper~tors) ~as. largely influenced by 1ts appllcat1on "" to function theory in one complex ~ variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non­ Write for our new Math elliptic problems. /124. $6.75 and Physics Catalogue.

305 This series, presents the notes of the lectures given at the Seminaire de mathematiques superieures. This seminar has been Seminaire de organized each summer since 1962 by the Department of Mathematics and Statistics of the Faculty of Arts and Sciences of mathematiques the Universite de Montreal and is now under the auspices of the National Research Council of Canada and the Ministry of Education of the Government of Quebec. These meetings are meants for superieures mathematicians and for graduate students in mathematics. Editor : Gert Sabidussi 67. Groups in physics: Collective Model of the Nucleus; 64. Geometrie differentielle stochastique Canonical Transformation in Quantum Mechanics PAUL MALLIAVIN MARCOS MOSHINSKY Institut Henri-Poincare, Paris University of Mexico 1978, 184 pages. (0-8405-0425-X) D $1o 1979,100 pages. (2-7606-0458·6) D $ 7 65. Numerical Methods for Solving Time-Dependent 68. Points fixes pour les applications compactils : Problems for Partial Differential Equations espaces de Lefschetz et Ia tbeorie de l'indice HEINZ-OTTO KREISS ANDRZEJ GRANAS Universite d'Uppsala, Suede U niversite de Montreal 1978, 120 pages. (0-8405-0430-6) D $1o 1980, 180 pages. (2-7606-0466-7) D $10 66. Difference Sets in Elementary Abelian Groups PAULCAMION 69. Set Theoretic Methods in Homological Algebra and Centre national de Ia recherche scientifique, Paris Abelian Groups (CNRS) - Institut de recherche d'informatique et d'au- PAULEKLOF tomatique (IRIA). D University of California at Irvine D $ 1979,96 pages. (2-7606-0450-0) $ 7 1980,120 pages. (2-7606-0467-5) 9

This series is assigned for publication of all conferences given since 1970 at the Centre de recherches mathematiques of the Chaire Universite de Montreal. The generous financial aid of Mr. Andre Aisenstadt, doctor in theoretical physics of University of Zurich, Aisenstadt enables the Centre de recherches mathematiques to invite famous research scientists and publish their conferences at Les Presses Editor : Anatole Joffe de I'Universite de Montreal.

PHYSICAL ASPECTS OF LIE GROUP THEORY Sl!R QUELQUES QUESTIONS D' ANALYSE, DE Robert Hermann, Universite de Boston MECANIQUE ET DE CONTROLE OPTIMAL 197 4, 272 pages. (0-8405-0256-7) D $12 Jacques Louis Lions, College de France D $14 QUELQUES PROBLEMES MATHEMATIQUES EN 1976, 212 pages. (0-8405-0339-3) PHYSIQUE STATISTIQUE SYMETRIES, JAUGES ET VARIETES DE Mark Kac, Universite Rockefeller, New York D GROUPES 197 4, 88 pages. (0-8405-0260-5) $ 9 Yuval Ne'eman, Universite de Tel Aviv LA TRANSFORMATION DE WEYL ET LA 1979,144 pages. (2-7606-0441-1) D $1o FONCTION DE WIGNER : UNE FORME LA THEORIE DES SOUS-GRADIENTS ET SES ALTERNATIVE DE LA MECANIQUE APPLICATIONS A L'OPTIMISATION. QUANTIQUE Fonctions convexes et non convexes Sybren R. De Groot, Institut de physique theorique R. Tyrrell Rockafellar, Universite de Washington, d'Amsterdam Seattle 1975,86 pages. (0-8405-0279-6) D $9 1979, 172 pages. (2-7606-0436-5) D $11 MARIAGES STABLES ET LEURS RELATIONS AVEC D'AUTRES PROBLEMES COMBINATOIRES Donald E. Knuth, Universite de Stanford 1976, 108 pages. (0-8405-0342-3) D $1o ORDER FORM D Please keep me informed of any new publication in mathematics. D Please send me copies of the titles marked above. D Payment enclosed (cheque or money order) plus 10% for shipping cost.

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306 DEPARTMENT OF MATHEMATICS UNIVERSITY OF NORTHERN COLORADO Greeley, Colorado 80639

Applications are invited for an anticipated HARMONIC ANALYSIS position of Assistant Professor of Mathe­ IN EUCLIDEAN SPACES matics. A doctorate in applied mathematics edited by Guido Weiss and Stephen Wainger is required. Duties will include teaching The two volumes of these Proceedings are made up of several articles that cover a large part of the courses such as differential equations, considerable development in harmonic analysis in Rn numerical analysis, computer programming, and related fields that occurred during the last decade. and undergraduate mathematics. Advising This progress resulted from the evolution of what are known as "real variable methods" and from new, and committee work will also be expected. important applications of the Fourier transform. Transcripts, vitae, and at least three letters Moreover, these techniques have accompanied a fruit­ of recommendation should be sent to: ful interaction of harmonic analysis with other branches of analysis. ROBERT L. HEINY The book is directed to analysts with an inter­ Chairman, Department of Mathematics est in either keeping up with the most recent re­ search in harmonic analysis or those who are actively University of Northern Colorado involved in research in this area. The background Greeley, Colorado 80639 required is a working knowledge of classical harmonic analysis in Euclidean spaces plus expertise in some of The University of Northern Colorado is the following areas: Representation theory of Lie an Equal Opportunity/Affirmative Action groups, theory of functions, probability theory and partial differential equations. Employer. Readers of these Proceedings can expect to gain a good perspective of the work being done in this type of harmonic analysis at this time. Exposi­ tory articles usually precede the more technical ones in the same subject. Articles by the following authors are of an expository nature: Colin Bennett, D. L. Burkholder, R. R. Coifman, Antonio C6rdoba, Bjorn THE MATHEMATICS DEPARTMENT E. J. Dahlberg, C. Fefferman, R. Fefferman, John E. Gilbert, N. Kerzman, Adam Koranyi, Yves Meyer, of Benjamin Muckenhoupt, D. Phong, Robert Sharpley, THE OHIO STATE UNIVERSITY E. M. Stein, Mitchell H. Taibleson, Michael E. Taylor, N. Th. Varopoulos, Stephen Wainger, and Guido invites applications from senior mathema­ Weiss. ticians for one or more anticipated positions As mentioned above, the book's most significant at the rank of associate professor. Applicants contribution is that it does present the actual "state of the art" in real harmonic analysis, the study of should be distinguished researchers and able Hardy spaces, harmonic functions, potential theory, to assume leadership roles within the depart­ the theory of one and more complex variables asso­ ment. Evidence of ability to contribute ciated with harmonic analysis, pseudo differential well operators, partial differential equations and harmonic to the instructional programs is expected. analysis in the settings of: Probability, local fields, Lie groups and functional analysis. Please send applications and resumes, and The two volumes contain 102 papers. There have letters of recommendation sent to: are no other books having this scope. Volume 35, Parts 1, 2 Dijen K. Ray-Chaudhuri, Olairman xxvi + 460 pages (Part 1) List price $26; institutional member $19.50; Department of Mathematics individual member $13 viii + 438 pages (Part 2) The Ohio State University List price $'24; institutional member $18; individual member $12 231 W. 18th Avenue Set: List price $44.40; institutional member $33.30; individual member $22.20 Columbus, Ohio 43210 Part 1: ISBN 0·8218-1436-2; LC 79·12726 Part 2: ISBN 0-8218-1438-9; LC 79-12726 The Ohio State University is an Equal Publication date: July 15, 1979 To order, please specify PSPUM/35 (set), Opportunity/Affirmative Action Employer. PSPUM/35.1 (Part I); PSPUM/35.2 (Part 2)

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

307 c oc co oo oc ecce cc oc o: o: JOCC UNIVERSITY OF SINGAPORE DEPARTMENT OF MATHEMATICS

Applications are invited for teaching appointments ranging from Lectureships to Senior Lectureships in the Department of Mathematics. Candidates with a Ph.D. degree and with special qualifications in numerical analysis and/or operations research and ability to teach computer science are preferred. Annual emoluments range as follows: Lectureship: S$20,900- 41,590 Senior Lectureship: S$35,940 - 62,220 The point of entry is dependent upon the candidate's qualifications, experience and the level of appointment. These emoluments include a 13th month allowance of one month's salary in December of each year and allowances recommended by the National Wages Council for 1978 and 1979 (US$1 = S$2.17 approx.). For staff appointed on normal contract, emplacement on the permanent establishment will be considered after two 3-year contracts. Leave and medical benefits are provided. Under the University's Academic Staff Provident Scheme, the staff member contributes at the present rate of 16Y:.% of his salary subject to a maxi­ mum of S$495/- p.m., and the University contributes 20Y:.% of his monthly salary. (The sum standing to the staff member's credit in the Fund may be withdrawn when he leaves Singapore/Malaysia permanently) .. Other benefits include: a settling-in allowance of S$1 000-2000 depending on circumstances, subsidised housing at rentals ranging from S$1 00 - 350 p.m., passage assistance and baggage allowance for transportation of per­ sonal effects to Singapore. Candidates s!lould write to: THE REGISTRAR University of Singapore Kent Ridge Singapore 0511 giving their curriculum vitae and also the names and addresses of three referees.

ASSOCIATE EXECUTIVE DIRECTOR The Mathematical Association of America has an opening for an Associate Executive Director at its headquarters in Washington, D. C., beginning July 1, 1980 or as soon as possible thereafter. Applicants should have interest and ability in administration and should be willing to exercise independent initiative. A Ph.D. in mathematics or a mathematical science is desirable. Salary will be commen­ surate with the experience and training of the candidate. Applicants should send a curriculum vitae, and should also arrange to have three letters of recommendation sent directly to:

Professor Dorothy l. Bernstein, President Mathematical Association of America Division of Applied Mathematics Brown University Providence, Rhode Island 02912

The Mathematical Association of America is an equal opportunity employer.

308 NORTH HOLLAND PUBLISHING CO. The finest in Mathematics Texts PARTIAL DIFFERENTIAL EQUATIONS ~ · OF MATHEMATICAL PHYSICS, SECOND EDITION ~ by Tyn Mylnt-U, Manhattan College Newly revised and updated text includes many changes to improve the exposition and clarity, especially numerous new examples and exercises added for further understanding. 1980 456 p. 0-444-00352-2 $24.95 LINEAR PROGRAMMING by Ronald I. Rothenberg, Queens College, CUNY A valuable new book which provides a study of the basic computational methods, theory, and real-world applications of linear programming; offers a wealth of worked-out computational problems. 1980 336 p. 0-444-00325-8 $22.95 MPICS IN MPOLOGY by Arlo W. Schurle, University of North Carolina at Charlotte Provides a versatile, solid introduction to topology and incorporates chapters on examples and pathologies, winding numbers, surfaces and homotopy. 1979 224 p. 0-444-00285-5 $19.95 COMPLEX FUNCnON THEORY by Anthony S.B. Holland, University of Calgary Important text begins with the complex number system, properties of sets in the complex plane and functions of bounded variation, followed by a clear exposition of analytic functions, and leading into a study of curvilinear integrals. 1980 352 p. 0-444-00342-8 For examination copies please write to Susan Beecher, indicating course, enrollment, and present text used. NORTH HOLLAND PUBLISHING CO. 52 Vanderbilt Avenue, New York, NY 10017 Prices subject to change without notice.

MATH SCI PRESS THE UNIVERSITY OF WESTERN ONTARIO 53 JORDAN ROAD FACUL TV OF SCIENCE BROOKLINE, MA 02146 DEPARTMENT OF MATHEMATICS 617-738-0307, 1039 Cartanian geometry, nonlinear waves, and Applications are invited for an appoint­ control theory, part B, by R. Hermann, ment at the rank of Assistant or Associate $60. Interdisciplinary Mathematics, vol. 21. Professor in the Department of Mathemat­ Contains new material on the geometric ics. Preference will be given to applicants foundation of deterministic and stochastic actively engaged in research in algebraic control theory, nonlinear waves and rela­ topology. Salary and rank will depend tivity and translation (by M. Ackerman) of upon qualifications and experience. The two papers by Lie on groups and differential appointment, which is subject to the avail­ equations. ability of funds, will commence July 1, In preparation: 1980. Applications should be sent to: Statistical mechanics and Lie group harmonic analysis, by N. Hurt and R. Hermann. DR. F. P. A. CASS, Acting Head Foundations and applications of the method Department of Mathematics of the moving frame, by R. Hermann, with The University of Western Ontario translations of work by L. Bianchi and G. London, Ontario, Canada H6A 589 Darboux.

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- PREREGISTRATION AND HOUSING RESERVATION REQUEST FORM Summer Meeting Joint Mathematics Meetings MAA Minicourse(s) University of Michigan August 18-22, 1980 August 1980 Ann Arbor MUST BE RECEIVED IN PROVIDENCE NO LATER THAN JULY 3,1980 Please complete this form and return it with your payment to MATHEMATICS MEETINGS HOUSING BUREAU P. 0. Box 6887, Providence, Rhode Island 02940, Telephone: (401) 272-9500, Ext. 239 PREREGISTRATION: Deadline for receipt of preregistration fee(s) is July 3, 1980. Please note that a separate check for the MAA Minicourse must be made out to the Mathematical Association of America. HOUSING BUREAU SERVICES: Participants desiring to obtain confirmed reservations for university or hotel accommodations MUST PREREGISTER PRIOR TO THE DEADLINE OF JULY 3. Full payment for rooms at the residence halls must be made at check-in time. CANCELLATIONS: To cancel a confirmed reservation, please write to the Mathematics Meetings Housing Bureau at the address above, or call the telephone number above, prior to August 15. Also note that SO% only of preregistration fee(s) is refundable if notification is received in Providence on or before August 15. REGISTRATION FEES Preregistration (by mail prior to 7 /3) At Meeting JOINT MATHEMATICS MEETINGS Member of AMS, MAA, IMS, and IIME $28 $30 *Student or unemployed $ 5 $10 Nonmember $38 $40 MAA MINICOURSE(S) $15 each $15 each *The unemployed status refers to any participants currently unemployed and actively seeking employment who are not students. It is not intended to include participants who have voluntarily resigned from their latest position. Students are considered to be only those currently working toward a degree who do not receive an annual compensation totaling more than $7,000 from employment, fellowships, and scholarships.

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PLEASE BE SURE TO COMPLETE SECTION ON PREVIOUS PAGE. Contemporary Mathematics CALL FOR PAPERS The AMS is starting a new soft-cover book series that will be published in the shortest possible time after receipt of an accepted manuscript. The cost will be kept very low so that copies can be afforded by individuals. The series can include proceedings of a conference, whether or not sponsored by the Society, or lecture notes submitted by an individual author. As is the case with the proceedings of certain symposia, camera-ready copy for the papers may be prepared either by the authors or the Society. In the former case the Society will pay a typing fee of $5 or more per page, depending upon the number of lines to the inch, and will provide model paper and typing instructions. The manuscripts will be refereed by an editorial board, with proceedings of a conference being regarded as a unit. Acceptance might therefore precede a conference and be based upon the identity of the sponsor or organizing com­ mittee. Typescripts or preprints of papers for this new series should be submitted to Professor James Milgram, Department of Mathematics, Stanford University, Stanford, California 94305, for transmission to the editors.

312 & =-··~ 11\Jt-=_p;p :z I NORTH-HOLLAND PUBLISHING COMPANY ~ ..!i '5 FVE "= _-F_, ==.s i 52 Vanderbilt Ave .. New York, N.Y. 10017/ P.O. Box 211, 1000 AE Amsterdam. The Netherlands = """"=== = Numerical Methods Topology Asymptotic Analysis = edited by P. ROZSA. edited by A CSASZAR. for Periodic Structures COLLOQUIA MATHEMATICA COLLOQUIA MATHEMATICA by A. BENSOUSSAN, J. L. LIONS, SOCIETATIS JANOS BOLYAI, Vol. 22 SOCIETATIS JANOS BOLYAI, Vol. 23 and G. PAPANICOLAOU. 1980. 620 pages 1980. 1250 pages in 2 volumes STUDIES IN MATHEMATICS AND ITS Price: US $87.75/DII. 180.00 Price: US $161.00/DII. 330.00 APPLICATIONS, Vol. 5 ISBN 0·444·85407-X ISBN 0·444·85406·1 1978. xxiv + 698 pages The third Colloquium on Numerical This volume contains 112 papers, Price: US S53.75/DII.110.00 Methods, organized by the Bolyai the detailed versions of lectures ISBN 0·444·85172·0 delivered Janos Mathematical Society, was at the Colloquium on Topo­ The constructive methods employed logy organized held in Keszthely, Hungary, between in Budapest, August in this volume are based on asymp­ 7-11, 1978. It also includes a few September 4-10, 1977. totic expansions using multiple papers sent to the Organizing Com­ 116 mathematicians from 18 countries scales. Complementing this theore­ mittee by authors unable to partici­ tical treatment are: gathered to discuss the contempo­ pate at the meeting. rary problems of numerical methods. -energy estimates and related tech­ 14 lectures were delivered in plenary The subjects covered embrace many niques sessions and there were 55 short topics of general topology: various -probabilistic tools generally used talks in two sections. types of topological spaces, general­ in limit theorems, such as the theory ized topological structures, uniform of weak convergence of measures, This volume contains the detailed spaces, extension theory, and dimen­ and version of most of the presented sion theory. Special emphasis is on -the spectral theory of differential papers. The 42 papers cover several the application of methods of modern operators with periodic coefficients, main areas of numerical mathematics: set theory and on categorical aspects. the so-called Bloch expansion, and · ordinary and partial differential e­ Some questions of algebraic topology geometrical optics methods. quations including initial value, such as homology theory, shape boundary value and stiff problems; The authors have divided this book theory, and theory of manifolds are · numerical algebra such as matrix into three essentially indepenent units included as well. Application of topo­ eigenvalue problems (Jacobi-like to facilitate reading. The first two logy in analysis, algebra, theory of methods, localization theorems, chapters deal with certain basic con­ automata, and mathematical linguis­ etc.), generalized matrix inverses, siderations, emphasizing energy tech­ tics illustrates the efficacy recursive computations; of topo­ niques for static or low frequency logical methods. -unconstrained and constrained op- problems. Chapter 3 focuses on pro­ timization; babilistic problems and methods ·elliptic functions; Numerical Solution while keeping in contact with partial -applications of splines. differential equations, while the fourth chapter covers the propagation Some of the of Highly contributions are review of waves through media with periodic papers accompanied by abundant Nonlinear Problems structure when the wavelengths are references. Fixed Point Algorithms and comparable to the size of the periods Complimentarily Problems of the material structure and both are small. Logic Colloquium '78 edited by WALTER FORSTER 1980. xlv + 444 pages Proceedings of the Colloquium held Price: US $53.75/DII. 110.00 in Mons, Belgium, August 1978 ISBN 0-444·85427·4 Point Process and edited by MAURICE BOFFA, DIRK This book is based on papers presen­ Queuing Problems VAN DALEN, and KENNETH ted at the Symposium on Fixed Point MCALOON. edited by P. BARTFAI and J. TOMKO. Algorithms and Complementarity STUDIES IN LOGIC AND THE held from 3rd to 5th July 1979 at COLLOQUIA MATHEMATICA FOUNDATIONS OF MATHEMATICS, the University of Southampton. Fixed SOC I ETA TIS JANOS BOLYAI, Vol. 24 Vol.97 point algorithms can be regarded 1980. 440 as the culmination of 70 years of pages - 1979. 444 pages Price: US $63.50/DII. mathematical research and the 130.00 Price: US $58.50/DII. 120.00 ISBN 0·444·85432·0 - ISBN 0·444·85378·2 papers in this volume represent the present state of development in this This volume contains the trans­ - The Logic Colloquium '78 which took field. Eminent mathematicians whose actions of the Colloquium on Point place in Mons, Belgium, from August names are inseparably linked with Processes and Queuing Problems ;; 24 through September 1, was the the development of fixed point algo­ held at the University of Debrecen, ~ summer meeting of the European rithms as well as a number of young Hungary, in 1979. Main subjects of = branch of the Association for Sym­ researchers have contributed to this this colloquium were not only the = bolic Logic. The conference, which volume. The papers presented are subjects mentioned in the title, but = attracted over 150 participants, was either extensions of those presented others too were extensively covered, = organized around three main themes: at the Symposium, or have been namely: special types of point proces­ ~ (1) Constructive Mathematics, (2) specially prepared for this publica­ ses, Markov processes, semi-Markov = Model Theory, and (3) Set Theory. tion. These papers cover new theore­ processes, queuing systems, and There were 16 invited talks and 57 tical developments, new algorithms, point fields. The volume contains 26 contributed papers; in addition, three various applications such as eco­ complete and refereed papers giving = survey courses of 4 lectures each nomic models, etc., computer im­ important new results and a compre­ = were given by G. Cherlin, S. Fefer­ plementations, and historical back­ hensive review of the present stage man, and J. E. Fenstad. ground. of these branches. 0723 NH new texts from

Elementary Analysis: The Theory of Calculus Kenneth A. Ross, University of Oregon This rigorous post-calculus text provides a thorough introduction to concepts in basic analysis and builds a good foundation for the study of such advanced topics as complex variables, differential equations, numerical analysis, statistics, and real analysis in n­ dimensional or metric spaces. Topics covered include sequences, continuity, series of functions. differentiation. integration, and set notation. No previous experience with rigorous proofs is assumed. 1980/272 pp./34 Ill us./ Cloth $18.80 (Undergraduate Text in Mathematics) ISBN: 0-387-90459-X Singular Homology Theory William S. Massey, Yale University A straightforward introduction to singular homology and cohomol­ ogy theory devoid of any unnecessary definitions or terminology. Fundamental topics discussed include singular homology with integral coefficients; integral homology groups of regular CW­ complexes; and homology of the KUnneth and Eilenberg-Zilber theorems. Cohomology topics include the geometric interpreta­ tion of cochains and cocycles; and cup, cap, cross, and slant prod­ ucts. An appendix gives a proof of DeRham's theorem. Basic knowledge of point set topology, abelian group and fundamental group theories, tensor products, the Hom functor, and 2-dimensional manifolds, is assumed. 1980/275 pp./13 lllus./Cioth $24.80 (Graduate Texts in Mathematics, Volume 70) ISBN: 0-387-90456-5 Methods of Mathematical Economics, Linear and Nonlinear Programming. Fixed-Point Theorems Joel Franklin, California Institute of Technology >- 1- first-year graduate students LJ.J This book for undergraduates and 0 0 presents higher mathematics from an elementary viewpoint. It N u "' ;:"' Vl I .....0 1980/297 pp./38 Ill us./ Cloth $24.00 2 1- c... ::: (Undergraduate Texts in Mathematics) <( <( ::l \.!)"' (!) r:£ ISBN: 0-387-90481-6 2 "'