AMERICAN MATHEMATICAL SOCIETY Notices Edited by J. H. CURTiss fiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIJIIIIIIIIIIIJIIIIIIIIIIIIIIIIIIIIJ, ISSUE NUMBER 12 October 1955 llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllilllllllllllllllllllll Contents MEETINGS Calendar of Meetings .......................................................................... 2 Program of the October Meeting in College Park ............................ 3 NEWS ITEMS AND ANNOUNCEMENTS ............. .... ........... .... .. ............ ...... 7 PERSONAL ITEMS ..................................................................................... 13 NEW PUBLICATIONS ................................................................................ 2 2 MEMORANDUM TO MEMBERS Directory Changes ................................................................................ 2 5 Published by the Society MENASHA, WISCONSIN, AND PROVIDENCE, RHODE ISLAND Printed in the United States of America 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 Notices was sent to press. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet­ Deadline ing Date Place for No. Abstracts 518 November 12, 1955 Los Angeles, California Oct. 5 519 November 18-19, 1955 Knoxville, Tennessee Oct.12 520 November 25-26, 1955 Milwaukee, Wisconsin Oct.12 521 December 27-30, 1955 Houston, Texas Nov.14 (62nd Annual Meeting) 522 February 25, 1956 New York, New York J an.12 April 20-21, 1956 New York, New York April 28, 1956 Monterey, California August 20-25, 1956 Seattle, Washington (61st Summer Meeting) December 27-29, 1956 Rochester, New York (63rd Annual Meeting) The Notices of the American Mathematical Society is published seven times a year, in February, April, June, August, October, November, and December. In­ quiries should be addressed to the American Mathematical Society, 450 Ahnaip Street, Menasha, Wis .. or 80 Waterman Street, Providence 6, R.I. Entered as second-class matter at the post office at Menasha, Wisconsin. Authori­ zation 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. & R.). Accepted for mailing at the special rate of postage provided for in section 34.40, paragraph (d). Items for Notes should be sent to Notices of the American Mathematical Society, 80 Waterman Street, Providence 6, R.I. 2 FIVE HUNDRED SEVENTEENTH MEETING College Park, Maryland October 22, 1955 PROGRAM The five hundred seventeenth meeting of the American Mathematical Society will be held at the University of Maryland, ColJege Park, Mary­ land, on Saturday, October 22, 1955. The times for all sessions are Eastern Standard Time. By invitation of the Committee to Select Hour Speakers for Eastern Sectional Meetings, Professor Paul Olum of ComeJJ University will ad­ dress the Society at 2:00P.M. on The fundamental problem of topology for 2-manifolds in the Student Union Auditorium. Sessions for contributed papers will be held in the Mathematics Building at 10:00 A.M. in Rooms Y-2, Y-101, and at 3:15P.M. in Room Y-2. The University of Maryland is located on U.S. Highway# 1 at Col­ lege Park about ten miles north of Washington. CoJJege Park can be reached by Greyhound bus from Washington. Buses leave the Greyhound Terminal, located at 11th Street and New York Avenue, every half hour on the hour and half hour. The trip takes thirty-five minutes. Buses leave CoJJege Park for Washington approximately seven minutes after the half hour and hour. The Mathematics Building is best reached by entering the campus at the north gate (Star route 193). It is the second building on the right, and may be identified by its dome. It bears the incription "Glen L. Mar­ tin Institute of Technology". Parking space will be indicated by signs. The Student Union Building is located on the same side of the same road at the top of the hill. The registration desk will be in the lobby of the Mathematics Build- in g. The University Cafeteria and nearby restaurants in ColJege Park will be available for lunch. 3 PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes) All times given below are Eastern Standard Time. SATURDAY, 10:00 A.M. Session on Analysis, Mathematics Building, Room Y-2 (1) Involutions on H* -algebra. Preliminary report Dr. P. P. Saworotnow, The Catholic University of America (2) Asymptotic solutions of the first boundary value problem for a fourth-order elliptic partial differential equation Dr. R. B. Davis, University of New Hampshire (3) On the solutions of nonlinear differential equations Professor C. T. Taam, The Catholic University of America (4) Disconjugate solutions of linear differential equations with al­ most periodic coefficients Dr. Lawrence Marks and Dr. R. A. Moore, Yale University (5) Improved approximations to differential equations using low or- der differences Professor W. R. Mann, University of North Carolina, Mr. C. L. Bradshaw, Oak Ridge National Laboratory, and Mr. J. G. Cox, Eglin Air Force Base (6) Smoothing processes in the theory of elliptic and hyperbolic partial differential equations Professor F. E. Browder, Brandeis University (7) On the Hankel transform of higher derivatives Dr. T. P. Higgins, Boeing Airplane Company, and Professor W. T. Guy, Jr., University of Texas (8) Polynomial solutions of the characteristic value problem for the cylindrical wave equation Dr. 0. G. Owens, Sandia Corporation Session on Topology, Algebra and Theory of Numbers, Mathematics Building, Room Y-101 (9) Strongly cyclic peano spaces Professor G. R. Strohl, Jr., U.S. Naval Academy, Annapolis (10) Examples of fixed point sets of periodic maps. ll Professor E. E. Floyd, University of Virginia 4 (11) Some examples of quasi-complexes Professor Eldon Dyer, Johns Hopkins University (12) Some duality theorems. Preliminary report Mr. J. J. Price, University of Pennsylvania (13) Two embedding theorems for finite lattices Dr. Juris Hartmanis, Cornell University (14) Lie simplicity of a special class of associative rings Mr. W. E. Baxter, University of Pennsylvania (15) Some remarks on a paper by R. H. Bruck Professor Trevor Evans, Emory University (16) On the class number of non-maximal orders in p-adic division algebras Professor W. E. Jenner, Northwestern University (17) Integral Maschke representations Professor Irving Reiner, Institute for Advanced Study and University of Illinois SATURDAY, 2:00P.M. General Session, Student Union Auditorium The fundamental problem of topology for 2-manifolds (One hour) Professor Paul Olum, Cornell University SATURDAY, 3:15P.M. Session on Applied Mathematics and Geometry, Mathematics Building, Y-2 (18) The Souriau-Frame characteristic equation algorithm on a digit- al computer Dr. G. E. Forsythe, New York University and University of California, Los Angeles, and Mrs. Louise W. Straus, Univer­ sity of California, Los Angeles (19) The Hilbert problem for an airfoil in unsteady motion Commander Patrick Lee hey, David Taylor Model Basin (20) Electrodynamic field theory Professor Domina E. Spencer, University of Connecticut (21) Sensitivity of linear programs Dr. H. D. Mills, General Electric Company (22) On certain multi-valued functions in generalized axially sym­ metric potential theory Professor L. E. Payne, University of Maryland 5 (23) An upper bound for the free membrane Professor H. F. Weinberger, University of Maryland (24) Optimal closed paths through certain point sets Mr. Fred Supnick, City College, New York SUPPLEMENTARY PROGRAM (To be presented by title) (25) Extreme maximal ideals of a partially ordered vector space Mr. F. F. Bonsall, Durham University (26) On the Casimir operator Professor H. E. Campbell, Emory University (27) Simultaneous pairs of linear and quadratic equations in a Galois field Professor Eckford Cohen, University of South Carolina (28) Commuting self-adjoint linear transformations. Preliminary report Mr. Bruno Harris, Yale University (29) Centralizers in special Jordan algebras Mr. Bruno Harris, Yale University (30) Partial difference sets Dr. D. R. Hughes, University of Wisconsin and Ohio State University (31) On a theorem of Poincare and Malkin Professor Eugene Leimanis, Queen's University (32) Extremal properties of Hermitian matrices Professor M. D. Marcus, University of British Columbia, and Dr. J. M. McGregor, California Institute of Technology (33) A note on naturally ordered sets in semi-metric spaces Dr. L. F. McAuley, University of Maryland (34) Solution about a regular singular point of a second order linear ordinary differential equation involving a large parameter Dr. R. W. McKelvey, University of Maryland (35) Local connectedness and closed continuous maps Professor S. K. B. Stein, University of California, Davis R. D. Schafer Associate Secretary Storrs, Connecticut September 8, 1955 6 HEWS ITEMS AHD AHHOUHCEMEHTS THE MATHEMATICAL SCIENCES EMPLOYMENT REGISTER. The following report was submitted to the Board of Governors of the Mathe­ matical Association of America and of the Council of the American Mathe­ matical Society at the Ann Arbor summer meetings of 1955, by Professor J o Sutherland Frame, Chairman of the Joint Committee on the Employ­ ment Register (Committee on Employment