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AMERICAN MATHEMATICAL SOCIETY Notices AMERICAN MATHEMATICAL SOCIETY Notices Edited by J. H. CURTISS ....... ,........................................................................................................................................................ ISSUE NO. 27 NOVEMBER, 1957 .................................................................................................................................................................. CONTENTS MEETINGS Calendar of Meetings ...................................................... 2 Program of the November Meeting in Los Angeles ....•.•.•.•.... 3 Program of the November Meeting in Coral Gables ............. 9 Program of the November Meeting in Columbia ................. 13 PRELIMINARY ANNOUNCEMENT OF MEETING ...................... l6 NEWS ITEMS AND ANNOUNCEMENTS ................................... J7 PERSONAL ITEMS .............................................................. 23 NEW PUBLICATIONS .......................................................... 27 MEMORANDA TO MEMBERS ................................................ 29 Published by the Society ANN ARBOR MICHIGAN and PROVIDENCE. RHODE ISLAND Printed in the United States of America MEETINGS CALENDAR OF MEETINGS NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NO­ TICES was sent to press. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meet­ ings to which no numbers have yet been assigned. Meet- Deadline ing Date Place for No. Abstracts 542 January 28-30, 1958 Cincinnati, Ohio Dec. 13 (64th Annual Meeting) 543 February 22, 1958 New York, New York Jan. 9 544 April 18-19, 1958 Chicago, Illinois Mar. 5 545 April 18-19, 1958 Stanford, California Mar. 5 546 April 25-26, 1958 New York, New York Mar. 5 547 june 20, 1958 Corvallis, Oregon May 7 548 August 25-30, 1958 Cambridge, Massachusetts july ll (63rd Summer Meeting) November, 1958 Evanston, Illinois january 20-22, 1959 Philadelphia, Pennsylvania (65th Annual Meeting) November, 1959 Detroit, Michigan The NOTICES of the American Mathematical Society is published seven times a year, in February, April, june, August, October, No­ vember, and December. Inquiries should be addressed to the American Mathematical Society, Ann Arbor, Michigan, or 190 Hope Street, Providence 6, R, I. Entered as second-class matter at the post office at Ann Arbor, Michigan. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 3421, P. L. and R .) • Accepted for mailing at the special rate of postage pro­ vided for in section 34-40, paragraph (d). News Items and Announcements should be sent to NOTICES of the American Mathematical Society, 190 Hope Street, Providence 6, R.I. FIVE HUNDRED THIRTY-NINTH MEETING LOS ANGELES, CALIFORNIA November 15-16, 1957 PROGRAM The five hundred thirty-ninth meeting of the American Mathe­ matical Society will be held on Friday and Saturday, November 15-16, 1957, at the University of California in Los Angeles. All sessions will meet in the new Mathematical Sciences Building (hereafter de­ signated as MS). By invitation of the Committee to Select Hour Speakers for Far Western Sectional Meetings, a Game Theory Symposium will be held on Friday in MS 5200, with sessions at 9:00 A.M. and 1:00, 2:30, and 5:00P.M. By invitation of the same Committee, Professor Harold Levine of Stanford University will address the Society on Saturday at 10:30 A.M. in MS 5200. His topic is "Recent developments in the theory of wave motion". Sessions for contributed papers will be held on Saturday at 1:30 P.M. in MS 5128, 5200, and 6229. Presentation of late papers will be arranged if necessary, details to be available at the registration desk. Registration will be at the Mathematics Department Office, MS 6115, 9:00 A.M. to 4:00P.M. on Friday and 10:00 A.M. to 3:00 P.M. on Saturday. Tea will be served at 4:00P.M. on Friday and 3:30P.M. on Saturday, in MS 6221. At other times during the meeting, this room will be available for informal discussions. The University of California campus is located at Westwood Village, about thirteen miles from downtown Los Angeles and about six miles from the Pacific Ocean at Santa Monica. Both hotel and motel accommodations are available at convenient walking or bus­ travel distance from the campus. More detailed information con­ cerning travel and accommodations may be obtained from the Mathe­ matics Department Secretary, University of California, Los Angeles 24, California. Mail and telegrams for those attending the meeting should be addressed as follows: Care of American Mathematical Society, University of California, Los Angeles 24, California. 3 PROGRAM OF THE GAME THEORY SYMPOSIUM The program committee consisted of David Blackwell, Chairman, H. F. Bohnenblust, Samuel Karlin, and Harold Kuhn. All sessions of the Symposium will meet in Room 5200 of the Mathematical Sciences Building FRIDAY, 9:00-ll:30 A.M. Session I. Chairman: David Blackwell, University of California, Berkeley (1) Samuel Karlin, Stanford University, Survey of continuous games on the unit square and outstanding problems (2) Philip Wolfe, RAND Corporation, Infinitely repetitive games (3) Melvin Dresher, RAND Corporation, Multimove infinite games (4) Rodrigo Restrepo, Stanford University, On m ultimove games (5) Stanislaw Ulam, Los Alamos Scientific Laboratory, Some ex- periments on games on electronic computing machines FRIDAY, 1:00-2:00 P.M. Session II Chairman: Philip Wolfe, RAND Corporation (1) Harold Kuhn, Bryn Mawr College, A survey of extensive games (2) Patrick Suppef:!, Stanford University, Markov learning models game situations FRIDAY, 2:30-4:30 P.M. Session III Chairman: Olaf Helmer, RAND Corporation (1) Lloyd Shapeley, RAND Corporation, Games with vector out­ comes (2) Herbert Gurk, Radio Corporation of America, Simple games and finite solutions (3) John Isbell, University of Washington, Descriptive theory of simple games (4) David Gale, RAND Corporation, A cooperative n-person bargaining game FRIDAY, 5:00-6:00 P.M. Session IV Chairman: Samuel Karlin, Stanford University Panel discussion of future directions of research in game theory. Panel members: Melvin Dresher, David Gale, and Lloyd Shapeley of RAND Corporation, Harold Kuhn of Bryn Mawr College, and R. Duncan Luce of Harvard University. 4 PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes) SATURDAY, 10:30 A.M. General session, Room 5200, Mathematical Sciences Building Recent developments in the theory of wave motion (One hour) Professor Harold Levine, Stanford University SATURDAY, 1:30 P.M. Session on Analysis and Applied Mathematics, Room 5200, Mathe­ matical Sciences Building (1) Extension of the spectral decomposition theorem Professor Frantisek Wolf, University of California, Berkeley (2) An analogue of Mercer's theorem Professor R. K. Getoor, University of Washington (3) Non-oscillation of second-order linear differential equations with non -negative coefficients Professor J. H. Barrett, University of Utah (4) Pursuit games with immobile hiders Dr. Rufus Isaacs, Hughes Aircraft Company, Culver City, California (5) A unified theory of propagated error and numerical sta­ bility for some methods of integrating ordinary differential equations Professor Peter Henrici, University of California, Los Angeles (6) The condition of certain matrices. III Mr. John Todd, California Institute of Technology (7) Tables for bivariate osculatory interpolation over a Car­ tesian grid Dr. Herbert Salzer and Mrs. Genevieve M. Kimbro, Convair Astronautics, San Diego, California Session on Algebra and Theory of Numbers, Logic and Foundations, Room 6229, Mathematical Sciences Building (8) On a matrix theorem of Craig and Hotelling Dr. Olga Taus sky, California Institute of Technology (9) Series-parallel graphs and lattices Mr. C. C. Elgot and Mr. J, B. Wright, University of Michigan (10) Models of universal sentences in predicate logic with infinitely long formulas Professor Alfred Tarski, University of California, Berkeley 5 (11) Weighted sums of squares. Preliminary report Professor Leon Henkin, University of California, Berkeley (12) On unequal partitions of integers under certain imposed conditions Dr. Iwao Sugai, Polytechnic Institute of Brooklyn (Introduced by Professor J, W. Green) (13) Asymptotic properties of partitions Professor E. E. Kohlbecker, University of Utah (14) Sierpinski sets in groups Professor E. G. Straus, University of California, Los Angeles (15) Compositions of basic divisor functions Professor D. H. Lehmer, University of California, Berkeley (16) A study of 60,000 digits of 'e'. Preliminary report Professor R. G. Stoneham, University of California, Goleta Session on Geometry and Topology, Room 5128, Mathematical Sciences Building (17) The analytic embedding of abstract real-analytic manifolds Professor C. B. Morrey, jr ., University of California, Berkeley (18) Extremal structure of convex sets. II Professor V. L. Klee, Jr., University of Washington (19) A connected topology for the integers Dr. S. W. Golomb, California Institute of Technology (20) Cross sections in certain topological groups Professor E. A. Michael, University of Washington (21) Topological semigroups and n-means Professor L. W. Anderson and Dr. A. T. Bharucha-Reid, University of Oregon (22) Characterizations of the algebra of all real-valued con­ tinuous functions on a completely regular space Professor F. W. Anderson and Professor R. L. Blair,
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