AMERICAN MATHEMATICAL SOCIETY Notices
Edited by J. H. CURTISS ...... ISSUE NO. 28 DECEMBER, 1957
...... u ......
CONTENTS
MEETINGS Calendar of Meetings • . • . • . . . • . • . • . • . • . . . . . • . . . 2 Program of the Annual Meeting in Cincinnati . . • . • . . . • . 3 PRELIMINARY ANNOUNCEMENT OF MEETING ...• 21 ACTIVITIES OF OTHER ASSOCIATIONS 22 NEWS ITEMS AND ANNOUNCEMENTS. 25 PERSONAL ITEMS •.....•••.....•...... •.•.•.... 42 NEW PUBLICATIONS •••••••••••••••••••••••••••••• 54 MEMORANDA TO MEMBERS
The 1958 Council ...•.•.•.....•.....•...... •.55 Corporate and Institutional Members ••....•.•...... 56 Catalogue of Lecture Notes • 60 Reservation Form ...... •...•.•.•...... •... 71
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 beer 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 thefutureare 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
543 February 22, 1958 New York, New York Jan. 9 544 April 18-19, 1958 Chicago, Illinois Mar. 5 545 Aprill8-19, 1958 Stanford, California Mar. 5 546 April 24-26, 1958 New York, New York Mar. 5 547 June 20, 1958 Corvallis, Oregon May 7 548 August 25-30, 1958 Cambridge, Massachusetts July 11 (63rd Summer Meeting) November, 1958 Evanston, Illinois January 20-22, 1959 Philadelphia, Pennsylvania (65th Annual Meeting) Summer Meeting, 1959 Salt Lake City, Utah November, 19 59 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.
2 SIXTY-FOURTH ANNUAL MEETING
Cincinnati, Ohio January 28-30, 1958
PROGRAM
The Sixty-fourth Annual Meeting of the American Mathematical Society will be held in Cincinnati, Ohio, in conjunction with the Annu al Meeting of the Mathematical Association of America. All sessions will be held at the m_e_e!ingug_eadquarters, the Sher1J,ton-Gibson Hotel, with the exception of those on Wednesday afternoon which will con vene at the University of Cincinnati. For the convenience of those attending the meetings, free bus service will be provided from the Hotel to the campus and return on Wednesday afternoon. The final time -table for this service will be available at the registration desk. An announcement of the Association Meeting also appears on pages 23- 24 of this issue of the NOTICES. The thirty-first Josiah Willard Gibbs Lecture will be delivered by Professor H. J. Muller of the Zoology Department, Indiana Uni versity, at 8:00P.M. on Tuesday in the Roof Garden of the Sheraton Gibson. The title of the lecture is Evolution by mutation. The Presidential Address will be delivered by Professor R. L. Wilder on Wednesday at 2:00 P.M. in Wilson Auditorium which is located on the campus of the University of Cincinnati. Professor Wilder's lecture is entitled On a cer~ig_c:_l_
3 The annual business meeting and election of officers will be held on Wednesday at 3;15 P.M. in Wilson Auditorium at the Univer sity of Cincinnati. The Council of the Society will meet in Parlor H of the Sheraton Gibson at 3;15 P.M. on Tuesday. There will be a meeting of the Policy Committee on Friday at 5;00 P.M. in Parlor I. The Employment Register will be located in Parlor I and will function during business hours on Tuesday, Wednesday and Thursday, but close at 3:00 P.M. on Friday. ENTERTAINMENT AND RECREATION A tea for the attending mathematicians and their guests will be given by the University of Cincinnati on Wednesday at 4:00 P.M. in the F acuity Dining Room of the Union Building on the campus. There will be a banquet in the Roof Garden of the Sheraton Gibson starting at 7:00 P.M. on Thursday for members of the Society. This event is made possible by the generosity of the following compa nies: Avco Corporation, Cincinnati Gas and Electric Company, Cin cinnati Milling Machine Company, General Electric Company, Inter national Business Machine Corporation, Procter and Gamble Company Union Central Life Insurance Company, and Western and Southern Life Insurance Company. Tickets for the banquet may be obtained at the time of registration--there will be a $1 service charge. A bar will be located in the Roof Garden and those attending the banquet may purchase drinks. On Friday afternoon at 2:15, the Cincinnati Symphony Orchestra will give its regular concert with Thor Johnson conducting. The dis tinguished violinist Isaac Stern will be the soloist. Tickets may be purchased ahead of time at Wurlitzer's, Fourth Street, Cincinnati. The $3.25 tickets in the orchestra will be available to members of the Society at $2.50. The Cincinnati Art Museum and the Taft Museum have extended invitations to view their collections. The Art Museum offers an almost complete review of the world's great civilizations through comprehensive collections of sculpture, paintings, prints, decorative arts and the arts of the Near and Far East. REGISTRATION AND ACCOMMODATIONS Registration headquarters will be located in the Ballroom Foyer of the Sheraton-Gibson. The office will be open on Monday evening from 6:00 to 9:00, and all other days from 9:00 A.M. to 5;00 P.M. , except Friday 9:00A.M. to 3;00 P.M. All members attending the meetings are requested to register at the headquarters upon arrival. A directory of registration and an information service will be maintained at registration headquarters.
4 Accommodations are available in the Sheraton-Gibson and should be made in advance by using the reservation card which accompanies this program.
TRAVEL INFORMATION The Pennsylvania, Baltimore and Ohio, New York Central, Norfolk and Western, Chesapeake and Ohio, Louisville and Nashville, and Southern Railroads serve the city. The Greyhound Bus Company, as well as other bus companies, also run into the City. Airplanes to Cincinnati land at Boone County Airport in Kentucky about 12 miles from the Hotel. Limousine service is available to the Sheraton-Gibson from the Airport. The trip takes about 45 minutes and costs $1.25. The main lines are American Airlines, Trans World Airlines, Delta and Capital. A map of Cincinnati appears on page 67 of this issue of the NOTICES. COMMUNICATIONS Mail and telegrams for those attending the meeting should be addressed in care of the American Mathematical Society, Hotel Sheraton-Gibson, Cincinnati 1, Ohio.
COMMITTEE ON ARRANGEMENTS I. A. Barnett, Chairman Arno Jaeger B. A. Raymond R. W. Allen H. D. Lipsich W. E. Restemeyer J. L. Baker, Jr. C. I. Lubin J, W. T. Youngs H. M. Gehman G. M. Mer rim an
5 TIME TABLE
MONDAY,JANUARY27 6:00 P.M.-9:00P.M. Registration, Ballroom Foyer TUESDAY, JANUARY 28 9:00 A.M.-5:00P.M. Registration, Ballroom Foyer 9:00 A.M.-12:00 M. Employment Register, Parlor 1 9:00 A.M.-6:00P.M. Parlor 7 available as a lounge 9:30 A.M. Sessions for contributed papers: Topology, Parlors 4-5 Algebra, Parlor 6 Analysis, Parlors 8-9 1:00 P.M.-5:00P.M. Employment Register, Parlor 1 2:00 P.M. Invited Address: Nelson Dunford, Ballroom 3:15 P.M. Sessions for contributed papers~ Algebra, Parlors 4-5 Analysis, Parlor 6 Geometry, Parlors 8-9 3:15 P.M. Council Meeting, Parlor H 8:00P.M. Gibbs Lecture: H. J. Muller, Roof Garden WEDNESDAY, JANUARY 29 9:00 A.M.-5:00P.M. Registration, Ballroom Foyer 9:00 A.M.-12:00 M. Employment Register, Parlor 1 9:00 A.M.-6:00 P.M. Parlor 7 available as a lounge 9:30 A.M. Sessions for contributed papers: Applied Mathematics, Parlors 4-5 Foundations and Topology, Parlor 6 Analysis, Parlors 8- 9* 10:00 A.M. Board of Trustees Meeting, Parlor E 1:00 P.M.-5:00P.M. Employment Register, Parlor 2:00P.M. Presidential Address, R. L. Wilder Wilson Auditorium, University of Cincinnati 3:15P.M. Business Meeting Wilson Auditorium, University of Cincinnati 4:00 P.M.-6:00P.M. Tea, Union Building, University of Cincinnati THURSDAY,JANUARY30 9:00 A.M.-5:00 P.M. Registration, Ballroom Foyer 9:00 A.M.-12:00 M. Employment Register, Parlor 1 9:00 A.M. -11:30 A.M. Parlor 7 available as lounge* 9:00 A.M. M. A. A. Session, Ballroom
*Parlor must be vacated by 11:30 A.M. for a luncheon
6 9:30 A.M. Sessions for contributed papers: Topology, Parlor 4-5 Algebra, Parlor 6 Analysis, Parlors 8-9* 1:00 P.M.-5:00P.M. Employment Register, Parlor 2:00 P.M.-6:00P.M. Parlor 7 available as a lounge 2:00P.M. Invited Address: C. D. Papakyriakopoulos, Ballroom 3:15P.M. Sessions for contributed papers: Statistics and Probability, Parlors 4-5 Analysis, Parlor 6 Applied Mathematics, Parlors 8-9 3:15P.M. M.A. A. Board of Governors Meeting, Parlor H 7:00 P.M. Banquet, Roof Garden FRIDAY, JANUARY 31 9:00 A.M.-3:00P.M. Registration, Ballroom Foyer 9t00 A.M.-12:00 M. Employment Register, Parlor 1 9:00A.M. M. A. A. Session, Roof Foyer 1:00 P.M.-3:00P.M. Employment Register, Parlor 2:00P.M. M. A. A. Session, Roof Foyer 5:00P.M. Policy Committee Meeting, Parlor 1
*Parlor must be vacated by 11:30 A.M. for a luncheon
7 PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes)
TUESDAY, 9:30 A.M. Session on Topology, Parlors 4-5 (1) The sum of two solid wild 2-spheres Professor B. J. Ball, University of Virginia (2) Totally non-connected im kleinen continua Professor E. E. Grace, Emory University (3) Moore spaces and uniform structure Professor F. B. Jones, University of North Carolina and Institute for Advanced Study (4) A surface S is tame in E 3 if E 3 - S is locally simply connected at each point of S Professor R. H. Bing, University of Wisconsin and Institute for Advanced Study (5) Connected towers of Wada Professor P. M. Swingle, University of Miami (6) Two bizarre connected spaces Professor Jacob Feldman, University of California, Berkeley (7) Some snake-like continua. Preliminary report Professor J, H. Case, University of Utah Session on Algebra, Parlor 6 (8) Sequences with property G Dr. R. L. San Soucie, Sylvania Electric Products (9) On Cayley's parameterization. II Dr. Martin Pearl, National Bureau of Standards, Washington, D. C. (10) Concerning a Hermitian equation in a quaternion algebra Mr. Barth Pollak, Illinois Institute of Technology (11) A characterization of generalized uniserial algebras Professor D. W. Wall, university of North Carolina (12) A note on diagonable matrix polynomials Professor D. W. Robinson, Brigham Young University (13) Characteristic subgroups of monomial groups Professor R. B. Crouch, New Mexico College of Agriculture and Mechanic Arts (14) Subdirect sums and infinite Abelian groups. Preliminary report Professor E. A. Walker, New Mexico College of Agriculture and Mechanic Arts
s (15) Almost locally pure Abelian groups. Preliminary report Mr. D. L. Boyer and Professor E. A. Walker, New Mexico College of Agriculture and Mechanic Arts Session on Analysis, Parlors 8-9 (16) The extreme points of the unit ball in H1 Professor Walter Rudin, University of Rochester, and Professor Karel deLeeuw, Stanford University (17) A Weierstrass theorem for function modules Professor R. C. Buck, University of Wisconsin (18) Subfunctions and inequalities Professor E. F. Beckenbach, University of California, Los Angeles (19) Systems of linear differentio-Stieltjes -integral equations Professor T. H. Hildebrandt, University of Michigan (20) A generalization of Bagemihl's theorem on ambiguous points Professor G. S. Young, Jr., University of Michigan (21) Integrals over function space. II. Preliminary report Professor W. F. Eberlein, University of Rochester (22) On the growth of entire functions Professor G. R. MacLane, Rice Institute (23) Support properties for cones with quasi interior points Professor R. E. Fullerton, University of Maryland TUESDAY, 2:00P.M. General Session, Ballroom A survey of the theory of spectral operators (One hour) Professor Nelson Dunford, Yale University TUESDAY, 3:15P.M. Session on Algebra, Parlors 4-5 (24) Simple nodal noncommutative Jordan algebras Professor L. A. Kokoris, Washington Universtity (25) Completeness of quotient algebras of Boolean algebras. II Professor Philip Dwinger, Purdue University (26) On the frequency of prime triples Professor C. N. Moore, University of Cincinnati (27) A class of methods for matrix inversion Dr. A. S. Householder, Oak Ridge National Laboratory (28) Finiteness of the injective hull Professor Alex Rosenberg and Professor Daniel Zelinsky, Northwestern University (29) On the asymptotic distribution of a sequence in a compact group Professor J. H. B. Kemperman, Purdue University
9 (30) Semi-automorphisms of groups Professor I. N. Herstein, Cornell University, and Dr. M. F. Ruchte, Iowa State College of Agriculture and Mechanic Arts (31) Galois theory for completely primitive rings Professor J, H. Walter, University of Washington and Institute for Advanced Study (32) The an(a)=a theorem for semirings with commutative addition Professor Melvin Henriksen, Purdue University Session on Analysis, Parlor 6 (33) Characteristic functionals Professor R. J, Silverman and Professor Ti Yen, Illinois Institute of Technology (34) On a class of star shaped mappings Professor Albert Schild, Temple University (35) Generalized chain sequences. Preliminary report Professor J, S. MacNerney, University of North Carolina (36) Discrete random processes. Preliminary report Professor Andrew Sobczyk, University of Florida (3 7) Schlicht Dirichlet series Professor M. S. Robertson, Rutgers University (38) Permanents of doubly stochastic matrices Professor Marvin Marcus, University of British Columbia, and Dr. Morris Newman, National Bureau o of Standards, Washington, D. C. (39) A bound for the mass distribution of a function which has harmonic support Professor Guy Johnson, Jr., Rice Institute (40) Concerning a theorem of Gelfand and Levitan. Preliminary report Professor C. J, A. Halberg, Jr. and Professor V. A. Kramer, University of California, Riverside Session on Geometry, Parlors 8-9 (41) A theorem on the characterization of spheres Professor S. I. Goldberg, Wayne State University (42) Projective convexity in Euclidean space Professor J, W. Gaddum, University of Florida (43) Invariant connections over a principal fibre bundle Professor H. C. Wang, Northwestern University (44) On contiguous congruent sets in Euclidean space Professor C. J. A. Halberg, Jr., University of California, Riverside, Dr. Eugene Levin, Ramo-Wooldridge Corpo ration, and Professor E. G. Straus, University of Cali fornia, Los Angeles
10 (45) Homogeneous contact manifolds Professor W. M. Boothby and Professor H. C. Wang, Northwestern University (46) Curvature and Betti numbers of compact Kaehler mani folds with boundary Professor C. C. Hsiung, Lehigh University (47) Transitive affine planes and doubly transitive projective planes Professor T. G. Ostrom, Montana State University, and Dr. A. Wagner, University of London and Ohio State University (48) Set functions and translation half-rings in the plane Mr. P. H. Maserick, University of Maryland (49) Locally affine spaces with Abelian holonomy groups Professor Louis Auslander, Indiana University TUESDAY, 8:00P.M. josiah Willard Gibbs Lecture, Roof Garden Evolution by mutation Professor H. J. Muller, Indiana University WEDNESDAY, 9:30A.M. Session on Applied Mathematics, Parlors 4-5 (50) Stability and instability in reactor dynamics. Preliminary report Professor J. A. Nohel, Georgia Institute of Technology and Babcock and Wilcox Company (51) Approximations for the inverse Laplace transform Professor W. T. Guy, Jr., University of Texas (52) On a boundary problem for a quasi-linear parabolic equation Professor Avron Douglis, University of Maryland (53) The initial value problem of n-th order differential and difference equations with constant coefficients Dr. Paul Weiss, Avco Research Laboratory (54) Modified Hessenberg method Dr. E. H. Bareiss, Argonne National Laboratory (55) A Ritz method for simultaneous determination of several eigenvalues and eigenvectors of a matrix Professor Pentti Laasonen, Finland Institute of Tech nology and University of California, Los Angeles (Introduced by Professor M. R. Hestenes) (56) A prediction problem in real time Dr. R. L. Wilson, Convair
11 (57) A mixed boundary value problem Mr. K. Padmavally, Ramanujan Institute of Mathematics and University of North Carolina (Introduced by Professor W, R. Mann) (58) Mean square approximation in symmetric hyperbolic systems by a finite difference method Professor H. F. Weinberger, University of Wisconsin Session on Foundations and Topology, Parlor 6 (59) Degrees of decidability of formal theories Professor J. R. Shoenfield, Duke University (60) Balzano and the historic significance of his mathematical contributions Dr. Saly R. Struik, Belmont, Massachusetts (61) On a subrecursive hierarchy and primitive recursive degrees Mr. Paul Axt, Lehigh University (62) On factorization of generalized manifolds Mr .F. A. Raymond, University of Michigan (63) On regular measures and Baire functions Professor R. E. Zink, Purdue University (64) The groups of all homeomorphisms of certain homogeneous spaces Professor R. D. Anderson, Louisiana State University (65) A fine-cyclic additivity theorem for a functional Professor C. J. Neugebauer, Purdue University (66) A characterization of Hewitt's Q-spaces Professor Chien Wenjen, Texas Technological College (67) Generating sets of elements in compact groups Dr. Gilbert Helmberg, University of Washington (Introduced by Professor V. L. Klee) Session on Analysis, Parlors 8-9 (68) A gap theorem for entire functions with deficient values Professor Albert Edrei, Syracuse University, and Professor W. H. j. Fuchs, Cornell University (69) The curl of a vector field Professor V. L. Shapiro, Rutgers University (70) Functions of bounded variation. I Professor P. C, Hammer, University of Wfsconsin (71) An inequality for logarithmic capacities Dr. Heinz Renggli, Tulane University (72) Lebesgue area for compact 2-dimensional surfaces Professor R. F. Williams, Purdue University (73) The Lebesgue constants for the Borel and Euler sum mation of developments in Legendre polynomials Professor Lee Lorch, Philander Smith College
12 (74) A limit theorem for real functions Dr. L.A. Rubel, Institute for Advanced Study (75) Isolated singularities of solutions of regular variational problems Professor J. C. C. Nitsche, University of Minnesota WEDNESDAY, 2:00P.M. Presidential Address, Wilson Auditorium, University of Cincinnati On a certain class of topological properties Professor R. L. Wilder, University of Michigan WEDNESDAY, 3:15P.M. Business Meeting, Wilson Auditorium, University of Cincinnati THURSDAY, 9:30A.M. Session on Topology, Parlors 4-5 (76) Foliated manifolds with bundle-like metric. I Dr. B. L. Reinhart, University of Chicago (77) A generalization of the Gauss-Bonnet theorem Professor James Eells, Jr., University of California, Berkeley (78) The number of k-chromatic graphs Professor Frank Harary, University of Michigan and Institute for Advanced Study (79) On Wallman's method Dr. R. W. Bagley and Dr. J.D. McKnight, Jr., Lockheed Missile Systems Division (80) Fundamental groups of algebraic manifolds Professor Shreeram Abhyankar, Cornell University (81) Yet another characterization of paracompact spaces Professor Ernest Michael, University of Washington (82) Cartesian products of mosaic spaces Dr. W. F. Davison, University of Michigan Session on Algebra, Parlor 6 (83) The similarity between the properties of ideals in com mutative rings and the properties of normal subgroups of groups. Preliminary report Professor Eugene Schenkman, Louisiana State University (84) On ideal theory in a commutative semigroup ProfessorS. G. Bourne, Lehigh University (85) The dimension subgroups of a group Mr. G. 0. Losey, Princeton University (86) Note on indefinite ternary genera of more than one class Professor P. J. McCarthy, Florida State University
13 (8 7) On the irreducible representations of certain Lie algebras of prime characteristic Professor C. W. Curtis, University of Wisconsin (88) Substitution algebras. I Professor Trevor Evans, Emory University (8 9) Total orderings on a semilattice Dr. Naoki Kimura, Tulane University (90) Left associated elements in a linear algebra. Preliminary report Mr. W. J. Hardell, Remington Rand UNIVAC Session on Analysis, Parlors 8-9 (91) A unique continuation of a parabolic equation Professor Hidehiko Yamabe, University of Minnesota (92) Local uniqueness, existence in the large, and the con vergence of successive approximations Dr. F. G. Brauer and Dr. Shlomo Sternberg, University of Chicago (93) Existence of singular points for a well known class of non-homogeneous differential equations Professor Diran Sarafyan, University of Florida (94) Periodic solutions of a perturbed autonomous system Professor W. S. Loud, University of Minnesota (95) On maximum principles for a non-hyperbolic partial differential operator Professor Philip Hartman and Mr. Richard Sacksteder, Johns Hopkins University (96) Linear partial differential systems with an additional differential equation Dr. Avner Friedman, Indiana University (Introduced by Professor J. W. T. Youngs) (97) On the numerical solution of a class of elliptic differential equations Professor Donald Greenspan, Purdue University (98) On the superposability and self-superposability of certain partial differential equations Professor M. z. v. Krzywoblocki, University of Illinois THURSDAY, 2:00P.M. General Session, Ballroom Some problems on 3-dimensional manifolds (One hour) Dr. C. D. Papakyriakopoulos, Institute for Advanced Study
14 THURSDAY, 3:15P.M. Session on Statistics and Probability, Parlors 4-5 (99) A sampling theorem for stationary (wide sense) stochastic processes Dr. S. P. Lloyd, Bell Telephone Laboratories (100) On semi-groups of positive matrices Professor W. B. Jurkat, Syracuse University ( 10 1) An identity theorem for the Poisson distribution Professor J. M. Shapiro, Ohio State University (102) The prediction of quantitative characteristics in polygenic systems. III Dr. A. G. Anderson, General Tire and Rubber Company (103) A Markovian function of a Markov chain Professor C. J. Burke and Professor Murray Rosenblatt, Indiana University (104) Inversion formulae for characteristic functionals of stochastic processes Professor R. H. Cameron and Professor M. D. Donsker, University of Minnesota (105) On a factorization theorem in the theory of analytic characteristic functions Dr. R. G. Laha, Catholic University of America (Introduced by Professor Eugene Lukacs) (106) On the statistical treatment of stochastic processes Dr. Isidore Fleischer and Dr. Anthony Kooharian, Bell Telephone Laboratories (107) Best finite linear approximation to a second order stochastic process Dr. H. P. Kramer, Bell Telephone Laboratories (108) Conditions on the realization of prediction by measures Dr. Joshua Chover, University of Wisconsin Session on Analysis, Parlor 6 (109) The Banach-Blumberg property and Blumberg's theorem Professor J. C. Bradford, Abilene Christian College ( 110) The Hahn-Banach extension theorem Professor R. J. Silverman and Professor Ti Yen, Illinois Institute of Technology (111) Normal operators on a Banach space Professor G. L. Krabbe, Purdue University (112) Sets with finite perimeter. Preliminary report Professor W. H. Fleming, Purdue University (113) Conditional inclusion of summability methods Professor jorg Mayer-Kalkschmidt, University of New Mexico ( 114) Singular integrals in two dimensions Dr. J. J. McKibben, Wesleyan University
15 (115) Expansion of an arbitrary polynomial in terms of a basic set of polyharmonic polynomials Professor E. P. Miles, Jr., Alabama Polytechnic Insti tute and University of Maryland (116) Continuation of biharmonic functions across circular arcs Dr. j. H. Bramble, General Electric Company and University of Maryland Session on Applied Mathematics, Parlors 8-9 ( 117) Integral equations of radiative transfer Dr. P. M. Anselone, Johns Hopkins University (ll8) Algebra of linear sequential coding networks Professor juris Hartmanis, Ohio State University (119) Work functions in hypo-elasticity Dr. Barry Bernstein, U.S. Naval Research Laboratory, and Professor J, L. Ericksen, Johns Hopkins University (120) Bounds in the exterior Neumann problem Professor L. E. Payne, University of Maryland, and Professor H. F. Weinberger, University of Wisconsin (121) Diffraction by a dielectric wedge. Preliminary report Dr. james Radlow, New York University (Introduced by Professor Morris Kline) (122) On the solution of a non-linear integral equation arising in a study of advection fogs Professor M. S. Klamkin, Avco Research and Develop ment Division and Polytechnic Institute of Brooklyn (123) A remark on wye-delta transformations Dr. Alfred Lehman, Case Institute of Technology (124) The torsion of a circular shaft with an elliposidal cavity Mr. H. L. Hunzeker, University of Michigan (Introduced by Professor J, W. T. Youngs)
16 SUPPLEMENTARY PROGRAM (To be presented by title)
(125) Certain collections of arcs in E3 Professor B. J, Ball, University of Virginia (126) On exponential holding-time III. Continuous time treat ment of a trunk group serving a renewal process Dr. V. E. Benes, Bell Telephone Laboratories, Inc. (127) On exponential holding-time IV. The character of over flow traffic Dr. V. E. Benes, Bell Telephone Laboratories, Inc. (128) On the coincidence of Geocze and Lebesgue areas Professor Lamberto Cesari and Professor C. J. Neugebauer, Purdue University (129) A class of quasi-complexes Professor R. E. Chamberlin, University of Utah (130) Representations of even functions (mod r). II. Cauchy products Professor Eckford Cohen, University of Tennessee ( 131) A class of residue systems (mod r) and related arithme tical functions Professor Eckford Cohen, University of Tennessee (132) Singular fiberings by spheres Professor P. E. Conner, University of Michigan, and Professor Eldon Dyer, University of Chicago (133) Quasi-frobenius rings and Galois theory Professor C. W. Curtis, University of Wisconsin (134) The geometry of the z-plane based on a quadratic ex tension r of a field K Professor John DeCicco, DePaul University (135) Properties of coefficients of cyclotomic polynomials Mr. J.D. Dixon, University of Melbourne (Introduced by Dr. H. W. E. Schwerdtfeger) (136) On the dimension of products Professor Eldon Dyer, University of Chicago (137) Duality theorems for generalized manifolds Professor Eldon Dyer, University of Chicago (138) The local Kiinneth sequence Professor Eldon Dyer, University of Chicago (139) An integral formula Professor Herbert Federer, Brown University (140) Nondegenerate surfaces and fine-cyclic surfaces Professor W. H. Fleming, Purdue University (141) A note on certain determinantal equations Professor Evelyn Frank, University of Illinois
17 (142) Harnack inequality for parabolic equations and its applications to the Dirichlet problem Dr. Avner Friedman, Indiana University (Introduced by Professor J. W. T. Youngs) (143) Existence and stability theorems for parabolic equations Dr. Avner Friedman, Indiana University (Introduced by Professor J, W. T. Youngs) (144) On an analog solution of two point boundary value problems Professor Donald Greenspan, Purdue University, Mr. Shozo Mats uno, and Mr. Bruno Ulrick, Hughes Aircraft Company (145) On a "best" five point difference analogue of Laplace's equation Professor Donald Greenspan, Purdue University (146) On nine point analogues of Laplace's equation Professor Donald Greenspan, Purdue University (14 7) On a nine point method for the numerical evaluation of the Stokes' stream function Professor Donald Greenspan, Purdue University (148) On random connections Dr. T. E. Harris, The RAND Corporation (149) Some remarks on a paper of Aronszajn and Panitchpakdi Professor Melvin Henriksen, Purdue University (150) Ideals in semirings with commutative additions Professor Melvin Henriksen, Purdue University (151) On multiplier transforms. Preliminary report Professor I. I. Hirschman, Jr., Washington University (152) Capacity in ultraspherical algebras. Preliminary report Professor I. I. Hirschman, Jr., Washington University (153) Formalizations of propositional languages with Wffs of infinite length. Preliminary report Mrs. Carol R. Karp, San Francisco, California (154) Formalizations of functional languages with Wffs of infinite length. Preliminary report Mrs. Carol R. Karp, San Francisco, California (155) Formalisms for P,.s , F~,- andj-3 -complete Boolean algebras. Preliminary report Mrs. Carol R. Karp, San Francisco, California (156) Compactness criteria, and one-parameter semi-groups of transformations Mr. D. G. Kendall, Magdalen College 057) On some special idempotent semigroups. III Dr. Naoki Kimura, Tulane University (158) On probability averages of functionals Dr. Frank Kozin, Purdue University
18 (159) Properties of a class of oscillating systems having a limit cycle Professor Erwin Kreyszig, Ohio State University (160) On the difference methods in solving inhomogeneous elliptic differential equations Professor Pentti Laasonen, University of California, Los Angeles, and Finland Institute of Technology (Introduced by Professor M. R. Hestenes) (161) On canonical conformal maps of multiply connected do mains. I Dr. H. j. Landau, Harvard University (162) Theorems of Kirchhoff type Dr. Anil Nerode, Institute for Advanced Study, and Mr. H. Shank, University of Chicago (163) Linear automaton transformations Dr. Anil Nerode, Institute for Advanced Study (164) A decomposition of a Peano space Professor C. j. Neugebauer, Purdue University (165) Local A-sets and retractions onto 8-sets Professor C. j. Neugebauer, Purdue University (166) Subreflexive normed linear spaces Mr. R. R. Phelps, University of Washington (167) Representation theorems for certain Boolean algebras Professor R. S. Pierce, University of Washington (168) Quotient rings of continuous transformation rings Dr. Vera Pless, Northwestern University (169) On the continuous transformation ring of biorthogonal bases spaces Dr. Vera Pless, Northwestern University (170) On the reduction of weak convergence Professor Pasquale Porcelli, Illinois Institute of Technology (171) Cech homology from a chain complex Mr. F. A. Raymond, University of Michigan (172) A new proof for duality theorems in generalized manifolds Mr. F. A. Raymond, University of Michigan (173) Foliated manifolds with bundle-like metric. II Dr. 8. L. Reinhart, University of Chicago ( 174) On the coerciveness of linear second order partial differential operators Dr. Martin Schechter, New York University (175) The class of recursive functions Professor j. R. Shoenfield, Duke University (176) A remark concerning the commutativity of rings Professor M. F. Smiley, State University of Iowa
19 (177) Inversion of Toeplitz matrices Professor Frank Spitzer, California Institute of Technology, and Mr. Harold Widom, Cornell University (178) Functions of bounded variation. II Mr. A. H. Stroud, University of Wisconsin (Introduced by Professor P. C. Hammer) (179) Hereditarily indecomposable towers and related sets Professor P.M. Swingle, Unive:r:sity of Miami (180) Connected sets of vitali Professor P.M. Swingle, University of Miami (181) On canonical conformal maps of multiply connected domains. II Professor j. L. Walsh and Dr. H. J, Landau, Harvard University (182) On the heat equation with subharmonic data Professor Alexander Weinstein, University of Maryland (183) Topological characterization of the Sierpinski curve Professor G. T. Whyburn, University of Virginia (184) On convergence of mappings Professor G. T. Whyburn, University of Virginia (185) Uniform convergence for monotone mappings Professor G. T. Whyburn, University of Virginia (186) Quasi-open mappings Professor G. T. Whyburn, University of Virginia (187) Computation of eigenvalues and vectors of Hermitean matrices Dr. R. A. Willoughby and Mr. T. C. Chen, IBM Research Center (188) Periodic solutions to an equation with rational coefficients Professor j. C. Wilson, Southern Illinois University
j. W. T. Youngs Associate Secretary
Bloomington, Indiana December 13, 1957
zo PRELIMINARY ANNOUNCEMENT OF MEETING
FIVE HUNDRED FORTY-THIRD MEETING
New York, New York February 22, 1958
The five hundred forty-third meeting of the American Mathe matical Society will be held at Hunter College in New York City on Saturday, February 22, 1958. By invitation of the Committee to Select Hour Speakers for Eastern Sectional Meetings, Professor Louis Nirenberg of New York University will deliver an hour address at 2:00 P.M. Sessions for contributed papers will be held at 10:00 A.M. and at 3:15P.M. Hunter College is on Park Avenue between 68th and 69th Streets. It can be reached most readily by means of the Lexington Avenue subway. Guests arriving on Saturday are asked to use the 69th Street entrance. The meeting rooms are on the third floor at the Park Avenue end of the building. A registration desk will be found near the meeting rooms. In accordance with a recently adopted policy of the Society, it is expected that abstracts of contributed papers to be presented in person at this meeting will appear in the February, 1958, NOTICES along with the program of the meeting. All abstracts should be mailed in ample time to reach the American Mathematical Society, 190 Hope Street, Providence 6, R.I., prior to the abstract deadline, january 9, 1958.
R. D. Schafer Associate Secretary
Storrs, Connecticut December 13, 1957
21 ACTIVITIES OF OTHER ASSOCIATIONS
THE ECONOMETRIC SOCIETY will hold its December meetings jointly with the A.B.A., the A.F .E.A., the R.S.A., and other allied social science associations in Philadelphia, Pennsylvania, on Dec cember 28-30, 1957, at the Sheraton Hotel. Sessions are scheduled on: Forecasting, Statistical Cost Functions, Corporation Finance, In vestment Behavior, Time Series and Cross Section Techniques, Use of Computers for Aggregate Models and Other Economic Research, International Trade, Industry Studies, Economic Theory, Personal Income and Consumption Behavior, Behavior under Uncertainty, Input-Output and Linear Programming, Population Studies, Regional Economics, and Farm Economics. Carl F. Christ, University of Chicago, is chairman of the meeting.
THE PHYSICS OF FLUIDS. Starting with January, 1958, the American Institute of Physics will publish a new journal called The Physics of Fluids. The new journal will be devoted to original contri butions to the physics of fluids covering kinetic theory, statistical mechanics, structure and general physics of gases, liquids and other fluids; as well as certain basic aspects of physics of fluids bordering geophysics, astrophysics, biophysics and other fields of science. The new journal will consider for publication original papers containing sufficiently significant results not published in any other recognized publication. The Physics of Fluids will start as a bimonthly and will become a monthly as soon as it appears desirable. Correspondence on editorial matters should be addressed to: Dr. F. N. Frenkiel, Editor, The Physics of Fluids, Applied Physics Laboratory, The Johns Hopkins University, Silver Spring, Maryland. Subscription information can be obtained from the American Institute of Physics, 335 East 45th Street, New York 17, New York.
THE INTERNATIONAL CONGRESS OF MATHEMATICIANS. A Second Communication giving details about the Congress has been sent out to individuals who have written to Edinburgh expressing a desire to obtain information. The Secretary of the Congress, Pro fessor F. Smithies, has asked the editor of the NOTICES to advise the members of the American Mathematical Society that they are unlikely to receive the Second Communication unless they write per sonally to Edinburgh.
22 THE FORTY-FIRST ANNUAL MEETING OF THE MATHE MATICAL ASSOCIATION OF AMERICA will be held at the University of Cincinnati and the Hotel Sheraton-Gibson in Cincinnati, Ohio, on Thursday and Friday, January 30 and 31, 1958 in conjunction with the Annual Meeting of the American Mathematical Society. Sessions of the Mathematical Association will be held on Thursday at 9:00 A.M. in the Ball Room of the Hotel Sheraton-Gibson and on Friday at 9:00A.M. and 2:00 P. M. in the Roof Foyer of the Hotel Sheraton Gibson. The Board of Governors of the Association will meet on Thursday at 3:15 P.M. in Parlor H of the Hotel Sheraton-Gibson. FIRST SESSION, THURSDAY: 9:00A.M., Ball Room: Hotel Sheraton-Gibson Retiring Presidential Address: "Mathematics Courses for Mathematics Teachers" Dean W. L. Duren, Jr., University of Virginia "Lectureship Programs of the Association" Panel: Professor B. W. Jones, University of Colorado, Chairman Professor A. W. Tucker, Princeton University Professor Edwin Hewitt, University of Washington Professor J, C. Eaves, University of Kentucky SECOND SESSION, FRIDAY: 9:00A.M., Roof Foyer: Hotel Sheraton-Gibson "The National Science Foundation and Institutes for Mathe matics Teachers" Dr. Harry Kelly, National Science Foundation "Organization and Operation of Institutes" Panel: Professor L. W. Johnson, Oklahoma State Uni- versity, Chairman Professor H. M. Bacon, Stanford University Professor E. A. Cameron, University of North Carolina Professor H. F. Fehr, Columbia University Professor Joseph Landin, University of Illinois Professor D. E. Richmond, Williams College Professor R. M. Thrall, University of Michigan Professor Henry Van Engen, University of Wisconsin THIRD SESSION, FRIDAY: 2:00P.M., Roof Foyer: Hotel Sheraton-Gibson Annual Business Meeting of the Association "Appropriate Courses for Institutes" Panel: Professor R. E. Johnson, Smith College Professor R. A. Rosenbaum, Wesleyan University Professor George P.6lya, Stanford University Professor E. J. McShane, University of Virginia
23 Professor J, L. Snell, Dartmouth College "Follow-Up Programs to Institutes" Mrs. MarieS. Wilcox, Thomas Carr Howe High School, Indianapolis, Indiana "Relation of Institutes to the work of the Commission on Mathematics" Dean A. E. Meder, Jr., Rutgers University, Executive Director of the Commission on Mathematics
24 NEWS ITEMS AND ANNOUNCEMENTS
THE C. L. E. MOORE INSTRUCTORSHIPS AT MIT. The Depart ment of Mathematics at the Massachusetts Institute of Technology wishes to announce the availability of C. L. E. Moore Instructorships in Mathematics for 1958-1959, open to young mathematicians with doctorates who show definite prom1se in research. The base salary for these instructorships is $6,000 and the teaching load will be six hours per week. The salary can be supplemented by summer work on research contracts or by teaching in the summer session. Applications should be filed not later than January 24, 1958 on forms obtained from the Department.
BENJAMIN PEIRCE INSTRUCTORSHIPS AT HARVARD. There will be two or more Benjamin Peirce Instructorships open in the academic year 1958·1959 at Harvard University. The base salary for this post-doctoral instructorship is $5,000. The salary can be aug mented by summer work of various kinds such as teaching in summer school. The teaching commitment is six hours one semester and nine hours the other, and includes the option of an advanced half -course of the instructor's own choosing. The appointments are annual but carry a presumption of two renewals. Applications should be made to the Harvard Mathematics Department before February 1 and should be seconded by supporting letters.
MERIT FELLOWSHIPS OF THE SHELL COMPANIES FOUN DATION, INC. The Shell Companies Foundation, Inc. has announced that fellowships will be provided for special study next summer to 100 high school teachers of physics, chemistry and mathematics. Half of the fellowship teachers will attend full summer sessions at Stanford University and the other half will go to Cornell University. Fellowship teachers receive allowances for travel, tuition, living expenses, and $500 in cash to offset the loss of other summer earn ings. Teachers attend lectures and laboratory sessions, hold group discussions with scientists, and visit nearby research installations. Requests for fellowship applications should be sent directly to the two universities. Teachers living west of the Mississippi should write to the School of Education, Stanford University, Stanford, California. Teachers east of the Mississippi should write to the School of Edu cation, Cornell University, Ithaca, New York. Mathematics, physics, and chemistry teachers in the United States and Canada with five years' experience and known leadership ability are eligible. Appli cations for the Stanford and Cornell University fellowships close February 1, 1958.
25 TEMPORARY MEMBERSHIPS OF THE INSTITUTE OF MATHE MATICAL SCIENCES AT NEW YORK UNIVERSITY. The Institute of Mathematical Sciences at New York University offers temporary memberships to mathematicians and other scientists holding the Ph. D. degree who intend to study and do research in the fields in which the Institute is active. These fields include functional analysis, ordinary and partial differential equations, mathematical physics, fluid dynamics, electromagnetic theory, numerical analysis and digit al computing, and various specialized branches, such as linear pro gramming, hydromagnetics, and reactor theory. The temporary mem bership program is being supported by the National Science Foun dation and also by funds contributed by industrial firms. Temporary members may participate freely in the research projects, the ad vanced graduate courses and the research seminars of the Institute, and they will have the opportunity of using the computational facili ties which include an IBM 704 computer and a Univac. The temporary members will receive a stipend commensurate with their status. Membership will be awarded for one year, but it may be renewed, Special arrangements can be made for applicants who expect to be on leave of absence from their institutions. The temporary membership program is currently in its second year of operation. During this academic year thirteen temporary members are in residence. Requests for information and for application blanks should be addressed to the Membership Committee, Institute of Mathematical Sciences, 25 Waverly Place, New York 3, New York. SUMMER INSTITUTES FOR COLLEGE TEACHERS IN SCIENCE AND MATHEMATICS. The National Science Foundation has announced that 108 institutes for high school and college teachers will be held in 104 education institutions during the summer of 1958. The follow ing institutes are designed for teachers in mathematics and are open to either college teachers only or to both high school and college teachers: At the University of Kansas, under Professor G. Baley Price of the Mathematics Department. At Michigan State University of Agriculture and Applied Science, under Professor F. B. Dutton of the Science and Mathematics Teaching Center. Inquiries and applications for participation should be addressed to the Directors of the individual institutes. The Foundation grants to each summer institute will cover costs of tuition and other fees for a specified number of teachers - from 20 to 100, the average size to be approximately 50. Most institutes will pay stipends directly to participating teachers at a maximum rate of $75 per week. Addition al allowances for dependents to a maximum of four and for travel are provided.
26 THE JOURNAL OF MATHEMATICS AND MECHANICS. The editors of the Tournai of Math_~matics a~_Me~!J.anics again wish to invite the attention of members of the Society to the fact that the backlog condition of the Journal is very favorable. The Journal aims to close the gap between "pure" and "applied" mathematics and to foster the discipline of mechanics as a deductive mathematical science. It gives rapid publication to research of unusual importance, depth, and permanence. English, French, German, and Italian are the languages of the Journal. It is desirable that every paper should con tain a simple but explicit summary of results, preferably in the open ing paragraphs. The scientific content of the Journal is largely in the hands of an Editorial Board. An author desiring to publish in the Journal should therefore send his manuscript to an appropriate member of the Board and a copy of the covering letter to the Editors at Indiana University; however, the manuscript may also be sent directly to the Editors. A REPRINTING OF THE MISSING BACK NUMBERS OF THE COMMENTARII MATHEMATIC! HELVETICI. Many of the back num bers of the Commentarii Mathematici Helvetici are sold out, The editors, however, are proposing to reprint the missing numbers, for which there is still a demand. To enable the publishers to estimate the number of reprints which are needed, the editors request that persons who are interested in these back numbers should send their pro-forma orders to Orell Fuessli Verlag, Nuschelerstrasse 22, Zurich 22, Germany.
COLOR TELEVISION USED IN THE TEACHING OF CALCULUS. The Advisory Board on Education of the National Academy of Sciences is undertaking an experiment in the use of color television to teach mathematics to a group of in-service high school teachers of rna the matics and science in the Washington, D. C., area. The course, which will extend throughout the academic year, is being offered by the University of Maryland as "Foundations of Analysis". The University will award three hours of graduate credit to those who successfully complete the course of 26 televised 50-minute lectures and corre lated classwork. The program is being carried through the new closed circuit color television facility at the Walter Reed Army Medical Center. Classrooms receiving the relayed programs are being rna de available at the Walter Reed Army Medical Center and at the National Institutes of Health in Bethesda, Maryland. The lecturer will be Dr. R. A. Good, associate professor of mathematics at the University of Maryland. Dr. John R. Mayor, director of education for the American Association for the Advancement of Science is serving as a consultant. The experiment has been assisted by a supporting grant from the Fund for Advancement of Education of the Ford Foundation. This grant will enable the Academy to make color kinescopes from the
27 televised lectures. These color kinescopes offer the opportunity for comparison of various techniques and are considered essential to evaluation of the experiment. They will later be made available to other suitably equipped institutions for further evaluation tests with student audiences. THE BORIS A. BAKHMETEFF RESEARCH FELLOWSHIP IN MECHANICS OF FLUIDS. This research fellowship is offered by the Humanities Fund, Inc. of New York. It will be available for the 1958-1959 academic year in an amount up to $3,000. The intention is to support a definite research project of an original and creative nature in the general field of mechanics of fluids. The recipient will be a full-time graduate student who is a candidate for the master's or doctoral degree. He must not hold any other fellowship or major income-producing commitment that will interfere with his research work and study on a full-time basis. It is expected that the stipend will be adequate to cover tuition, subsistence, and, if necessary, a portion of the research expenses. The study and research rna y be undertaken at an institution of the Fellow's choice. The adequacy of the facilities of the institution will carry substantial weight in the selection of the Fellow. Applications should be filed by February 15, 1958 with Dean William Allan, School of Technology, The City College of New York, New York 31, New York. BOOKS FOR ASIAN STUDENTS. From time to time members of the Society write to the Headquarters Offices asking for advice in selling or otherwise dismantling mathematical libraries. One sug gestion to consider is that of sending such material to Asia through the auspices of the Asia Foundation. This is a nonprofit non-politi cal organization sponsored by eminent American citizens which sup ports individuals and groups in Asia who are working for the attain ment of peace, independence, personal liberty, and social progress. The Foundation maintains 18 offices in Asia which encourage and strengthen these individuals and groups in their work. Over two years ago the Asia Foundation established a project for sending books to Asian students. To date this project has sent 600,000 selected books to more than 1,200 universities, colleges, libraries, and civic groups in Asia. These books were donated by 700 university and college groups, publishers, libraries, and individuals in the United States. The great need for books continues as evidenced by increasing re quests. The project desires university and college level books in good condition, published after 1945. Works by standard authors published before 1945 are also needed. Examples of books in the latter category might be some of the modern classical textbooks in rna them atical analysis or higher algebra. The Asia Foundation will pay transpor tation costs from the donor to San Francisco and thence to Asia.
28 Books may be shipped by the following methods only: Book rate par cel post in packages under 70 pounds (reimbursement for which will be sent on receiving donor's postal receipt) or if quantity is large by motor freight (truck) "collect". All shipments and all questions should be addressed to: Books for Asian Students, 21 Drumm Street, San Francisco 11, California.
NATIONAL REGISTER OF SCIENTIFIC AND TECHNICAL PER SONNEL. As readers of the NOTICES probably know, the American Mathematical Society at the request of the National Science Foun dation is assembling and maintaining a register of mathematicians and mathematical scientists. The Mathematics Register is a section of the National Register of Scientific and Technical Personnel, which is an official responsibility of the NSF. The purpose of the Register is to provide up-to-date information on the scientific manpower re sources of the United States. As a result of the splendid cooperation accorded to the project by most of the mathematicians and mathematical scientists who have received questionnaires to fill in, the mathematical section of the Register is now remarkably complete. However, there are still a few gaps to be filled in. If you have received a National Register question naire from the Society, please fill it in now and send it to the Head quarters Offices of the Society at 190 Hope Street, Providence 6, Rhode Island. If you have never received a questionnaire and feel that you are qualified for inclusion in the Register, please drop a note to that effect to the Society at this address.
DONATIONS TO THE SOCIETY FOR THE SUPPORT OF MATHE MATICAL ACTIVITIES CARRIED ON BY OTHERS. At its meeting at Pennsylvania State University in August of 1957, the Council a dopted the following resolution: "The fundamental purpose of the American Mathematical Society is to foster mathematical research. This purpose obviously involves also the support of publication. "The Society carries on no direct research activities of its own, but through its meetings, publications, and other activities undertakes to assist mathematical research in all appropriate ways, wherever and however it may be carried on. In particular, the Society makes grants from its own funds to mathematical journals published by other non -profit organizations. "As one means of fostering mathematical research and publi cation, the Society is willing to receive from corporations or indivi duals donations to be transmitted to designated individuals, research projects, publications or organizations, provided only that in the opinion of the Council of the Society the activity thus supported is one which appears in fact to promote mathematical research. The wishes of the donor as to the recipients will be scrupulously carried out, and the Society will make no deduction from the contribution for its
29 service in transmitting the funds. It offers this service purely as a convenience to donors wishing to make contributions in support of mathematical research; the Society's world-wide mathematical con tacts may be of genuine assistance in some cases. At the same tine it should be noted that such donations are not in fact gifts to the American Mathematical Society, since the Society acts merely as a transmittal agent and has no voice in the expenditure of such funds. In particular, the Society can assume no responsibility for deter mining the tax status of such gifts. Donors are advised to consult their own tax counsel or the Internal Revenue Service if information on this point is desired." REPORT OF THE COMMITTEE TO INVESTIGATE PRESENT ECONOMIC STATUS OF TEACHERS. The following report was pre pared by Professor Wallace Givens. In August, 1956, the President of the Society was asked to appoint a committee to study the present economic status of teachers. This committee consisted of Wallace Givens (Chairman), George N. Garrison, and Henry M. Schaerf. Consideration was restricted to mathematicians rather than to teachers in general. At the August, 1957, meeting of the Council, the Chairman of the Committee report ed the results of a questionnaire sent by him in late May, 1957. The following is an abstract of that report and is published by authori zation of the Council. The questionnaire was sent to the sixty-one departments of mathematics included in the 1955-56 Survey of Training and Research Potential in the Mathematical Sciences (the Albert survey). Forty two usable replies are here reported. The minimum, median and maximum salaries for each of the four academic ranks for each of the years 1956-57 and 1957-58 were requested. For instructors, only those holding the Ph.D. were to be included. All numbers of staff members and salaries were defined to refer to the academic year (9 to 10 months) only; "number" meant on campus working full time, fractions permitted, in 1956-57 (actual) or already employed for 1957-58; "salary" meant payment by the school for full time work, including grants but excluding sabbatical or part-time salaries. There are some discrepancies between the 1956-57 figures in the Albert survey and those given below. These could be expected since the samples were not identical and some salary changes may have taken place between the times the two sets of figures were ob tained. These figures do NOT report the salaries of teachers of mathe matics in all colleges in the United States. They do not even include graduate students who carry much of the teaching load in some of the schools included. They DO report the salaries of a significant frac tion of those individuals engaged in producing the next generation of
30 professional mathematicians. The positions covered certainly are regarded as among the most attractive teaching positions in the United States today. A comparative study of salaries of mathema ticians in the industry would be of great interest but is not here made. All salary figures were rounded to the nearest hundred (with even preference) before processing and are so reported here. Example: in reply to the question "what was the minimum salary for a full professor in your department in 1956-57?" the lowest figure reported from 12 Major State Schools was $ 5,400, the me dian of the reported figures was $7,650 and the school with the highest minimum paid $10,600. 12 MAJOR STATE SCHOOLS OF 15 IN THIS CATEGORY (I) MINIMUM MEDIAN MAXIMUM (of the replies to the 24 questions asked) 1956-57 1957-58 1956-57 1257-58 1256-57 1957-58 MINIMUM Instr. 38 45 45 50 54 58 Asst. 43 50 50+ 56 56 59 Assoc. 53 60 60 70 74 86 Prof. 54 64 76+ 85 106 106 MEDIAN lnstr. 45 47 48- 52 54 58 Asst. 51 55 56- 62 61 64 Assoc. 59 64 65 74 79 85 Prof. 67 81 86- 92 120 120 MAXIMUM Instr. 45 48 48 54 55 58 Asst. 53 60 64 65 70 81 Assoc. 63 68 72+ 76- 88 89 Prof. 78 84 118 126 198 200 NUMBER EMPLOYED 1956-57: Instr. 43 1/2; Asst. 94; Assoc. 68; Prof. 102; Total 307 1/2 1957-58: Instr. 39 1/2; Asst. 106; Assoc. 69; Prof. 109; Total 323 1/2 7 MAJOR NON-STATE SCHOOLS OF 8 IN THIS CATEGORY (II) MINIMUM MAXIMUM (of the replies to 16 of the questions; medians omitted) 1956-57 1957-58 1956-57 1257-58 MINIMUM lnstr. 40 42+ 45 50 Asst. 45 52+ 58- 60 Assoc. 64 65 75 80 Prof. 70 80 100 110
31 MINIMUM MAXIMUM (of the replies to 16 of the questions; medians omitted) 1956-57 1957-58 1956-57 1957-58 MAXIMUM Instr. 45 48- 54 55 Asst. 48- 60 65 70 Assoc. 66 80 90 100 Prof. 102 130 140 160 NUMBER EMPLOYED 1956-57: Instr. 35 1/2; Asst. 25; Assoc. 19 1/2; Prof. 43; Total 123 1957-58: Instr. 36; Asst. 17; Assoc. 23; Prof. 46; Total 122 11 OTHER STATE SCHOOLS OF 16 IN THIS CATEGORY (III) MINIMUM MEDIAN MAXIMUM 1956-57 1957-58 1956-57 1957-58 1956-57 1957-58 MINIMUM Instr. 42 45 45 50 50 63 Asst. 45 50 50 52 52+ 60 Assoc. 50 55 62- 69 67 80 Prof. 55 65 70 78 96 95 MEDIAN Instr. 42 48 47 50 51 63 Asst. 45 50 51 56 54 64 Assoc. 55 65 62 71 71 84 Prof. 65 70 81 90 96 117 MAXIMUM Instr. 42 50 47 54 52+ 63 Asst. 52+ 50 58- 64 65 75 Assoc. 60 65 66- 81 76 85 Prof. 79 85 90 104+ 109 123 NUMBER EMPLOYED 1956-57: Instr. 16; Asst. 60; AsS"Oc. 40; Prof. 60; Total 176 1957-58: Instr. 11; Asst. 64; Assoc. 42; Prof. 58; Total 175 7 OTHER LARGE NON-STATE SCHOOLS OF 10 IN THIS CATEGORY (IV) MINIMUM MAXIMUM 1956-57 1957-58 1956-57 1957-58 MINIMUM IIistr. 40 47 48 50 Asst. 46 49 68- 73 Assoc. 52+ 52+ 79 90 Prof. 62 62 112+ 124
32 MINIMUM MAXIMUM 1956-57 1957-58 1956-57 1957-58 MAXIMUM lnstr. 45 48 48 52 Asst. 52+ 55 75 82+ Assoc. 63 63 104- 109 Prof. 79 79 180 187 NUMBER EMPLOYED 1956-57: Instr. 11; Asst. 32; Assoc. 36 1/2; Prof. 45; Total124 1/2 1957-58: Instr. 15; Asst. 30; Assoc. 42 1/2; Prof. 50; Total 137 1/2
3 SMALLER NON-STATE SCHOOLS OF 7 IN THIS CATEGORY (V) MINIMUM MAXIMUM 1956-57 1957-58 1956-57 1957-58 MINIMUM Instr. 40 40 45 48- Asst. 47 47 50 60 Assoc. 54 54 62+ 65 Prof. 70 70 90 95 MAXIMUM lnstr. 44 45 45 55 Asst. 49 49 55 60 Assoc. 56 56 78- 65 Prof. 80 80 90 110 NUMBER EMPLOYED 1956-57; Instr. 7; Asst. 9; Assoc. 6; Prof. 6; Total28 1957-58; Instr. 8; Asst. 11; Assoc. 4; Prof. 8; Total 31 2 INSTITUTES OF TECHNOLOGY OF 5 IN THIS CATEGORY (VI) MINIMUM MAXIMUM 1956-57 1957-58 1956-57 1957-58 MINIMUM Instr. 45 49 50 55 Asst. 50 53 60 63 Assoc. 62 65 70 75 Prof. 83 83 95 100 MAXIMUM Instr. 49 52 54 60 Asst. 59 62 76 80 Assoc. 76 80 88 105 Prof. 100 105 150 150
33 NUMBER EMPLOYED 1956-57: Instr. 13; Asst. 11; Assoc. 12; Prof. 13; Total 49 1957-58: lnstr. 14; Asst. 14; Assoc. 1Z; Prof. 15; Total 55 The questionnaire also asked: Do you think you pay extra for certain fields? What fields? How much? Comments? The replies are given in full. 12 MAJOR STATE SCHOOLS. (1) Yes, Applied, $2,000. (2) Yes, Statistics; Comment: Statistics is a separate department; it is Uni versity policy not to pay extra for any field; we do not know how long this can be maintained. (3) Yes, Statistics, $500. (4) Yes, Applied Mathematics, $600. (5) Yes, Acturial mathematics and Mathematical statistics, 20o/o. (6) Yes, Statistics, 20%. There were two non responses. Three responses answered the first question in the nega tive. One response answered the first question by saying "not at present". 7 MAJOR NON-STATE SCHOOLS. Five responses,were nega tive. There were two non-responses. 11 OTHER STATE SCHOOLS. (1) Yes, Statistics, $1,000; extra pay would also be available for people in Applied Mathematics or Numerical Analysis (if available). (2) Yes, Statistics and Applied Mathematics, $2,000. (3) Yes, Mathematical Statistics, $800. (4) Yes, Applied Mathematics, $600+ depending on rank. (5) Yes, Statistics and high-speed computing, 20%. (6) Yes, "In the past we have paid several hundred dollars per year extra in the field of statistics .... will now pay little extra for a numerical analysis and digital com puter man ... prepared to pay several hundred dollars extra for a top man in applied mathematics." There were five negative answers to the first question. 7 OTHER LARGE NON-STATE SCHOOLS. (1) Yes, Statistics, $750 per academic year and also Computing, $1,500 per academic year. (2) Yes, Science and Engineering. (3) No, but would in applied mathematics if we could get someone suitable. There were three negative replies to the first question. There was one non-response. 3 SMALLER NON-STATE SCHOOLS. (1) Yes, Algebra and Topology, $500 to $1,000. There were two negative responses. 2 INSTITUTES OF TECHNOLOGY. Yes, Numerical Analysis and Applied Mathematics, 10%. There was one negative response. The questionnaire also asked about newly-hired staffs this year. Data are available from 42 schools. They are summarized in the following table.
34 Rank Minim urn Salary Maximum Salary Instructor (Ph.D.) 42+ 60 Assistant Professor 50 75 Associate Professor 61 100 Professor 78- 120 The total number of mathematicians covered by this survey can be broken down as follows: Rank 1956-57 1957-58
Instructor (Ph.D.) 126 123 1/2 Assistant Professor 231 242 Associate Professor 182 192 1;2 Professor 269 286 Total 808 844 These figures may be compared with the 2, 798 questionnaires which were actually mailed out by the Albert committee in its at tempt to reach all persons receiving a Ph.D. in mathematics in the United States or Canada in the period 1915-54. (Cf. p. 70, Part I of that committee 1 s report.) EXPANSION OF COMMITTEE TO INVESTIGATE THE PRE SENT ECONOMIC STATUS OF TEACHERS. By the action of the Council, on recommendation of the original committee, President Brauer has enlarged the membership of the Committee to Investigate the Present Economic Status of Teachers. The membership of the committee is now: Wallace Givens (Chairman), A. A. Albert, Richard Bellman, David Blackwell, George N. Garrison, J. W. Green, H. M. Schaer£. Suggestions by members of the Society of proper actions for the committee will be welcomed.
35 VISITING FOREIGN MATHEMATICIANS. The following list of visiting for eign mathematicians has been prepared by the Division of Mathematics of the National Academy of Sciences - National Research Council. This list is dated October 15, 19 57.
Horne Period of visit Name Country Host Institution From To
Adams, John F. U.K. Institute for Advanced Academic Year Study 1957-58 Adem, jose Mexico Princeton University Feb.l958-June 1958 Agudo, F. R. D. Portugal University of California, Fall 1957 Berkeley Akizuki, Yasuo Japan University of Chicago Oct.l, 1957- June 30,1958 Albertoni, Sergio Italy New York University Sept.195 7-F eb.1958 Andreotti, Aldo Italy Institute for Advanced Sept. 30. 1957- Study, Sept. 30, 1957- june 1958 Dec.ZO, 1957;Princeton University, Feb. 1958- June 1958 Azumaya, Goro japan Yale University Sept.1956 -Sept .1958 Baayen, Pieter C. Nether University of California, Academic year lands Berkeley 1957-58 Beale,E. M. L. U.K. Princeton University Jan.1958-Dec .1958 Birch, Bryan J. U.K. Princeton University Sept.1957-June 1958 Bjorck,n Goran'' Sweden Institute for Advanced Academic Year Study 1957-58 Bofinger, Victor J· Australia North Carolina State june 1957-April 1958 College Burgers, Johannes Nether- University of Maryland Oct 11, 1956- M. lands and American University- Oct. 1957 National Bureau of Standards Carleson, Lennart Sweden Massachusetts Institute sept.1957 of Technology Jan.31,1958 Cartier, Pierre France Institute for Advanced Academic Year Study 1957-58 Chakravarti, j.G. India Brown University Academic Year 1957-1958 Chand, Uttam India Boston University Jan.1958-May 1958 Cohen, Daniel E. U. K. Princeton University Sept.1957-june 1958 Copson, E. T. Scotland Stanford University Week-Feb. 1958
36 Home Period of visit Name Country Host Institution From To
Carsten, L. C. A. Nether- University of North Sept. 1957-June 1958 lands Carolina Dedecker, Paul Belgium Institute for Advanced Sept.30,1957- Study Dec. 20, 1957 Delsarte, Jean France University of Maryland April 1957-July 1957 Deny, Jacques F ranee Institute for Advanced Sept.30,1957- Study Dec.20,1957 De Rham, Georges Switzer- Institute for Advanced Academic Year land Study 1957-58 Dold, Albrecht Germany Institute for Advanced Sept.l956-Aug .1958 Study Dvoretzky, Aryeh Israel Institute for Advanced Academic Year Study 1957-58 Edwards, David A. U.K. Yale University Sept.l956-Sept .1958 Ewald, Guenther Germany Michigan State University Sept.l957-June 1958 F ary, Istvan Canada University of California, Jan.-June 1958 (Hungary) Berkeley Festa, Erika Austria State College of Wash- Sept.l956-Sept.l958 ington, Sept.-Dec. 1957 Festa, Rudolf Austria University of Alabama Sept.l956-Sept .1958 1956-57;State College of Washington 1957-58
Foguel, Shaul Israel New York University Academic Year 1957-1958 Frohlich, A. U.K. University of Virginia Feb. 1958-June 1958 Gamblen, Frank Australia University of Kansas, Sept 4, 1957- Sept .4,1957-Feb .1, 1958; June 1958 Educational Testing Service ,Princeton, N.J. F eb.l, 1958-June .1958 Gautschi, Walter Switzer- American University Oct.l955 -Sept.l958 land National Bureau of Standards Ghaffari, A. Iran National Bureau of Sept.l956-Sept .1958 Standards
Goldner, Siegfried Union of New York University Academic Year South 1957-58 Africa
Grauert, Hans Germany Institute for Advanced Academic Year Study 1957-58
37 Home Period of visit Name Country Host Institution From To
Grenander, U. Sweden Brown University Academic Year 1957-58 Griffiths, Hubert U.K. Institute for Advanced Sept.l956-July 1958 B. Study Guttman, Irwin Canada Princeton University Sept. 1957-June 1958 Hano, Jun-ichi Japan University of Wash- Sept.l5,1957- ington June 15, 1958 Harrop, Ronald U.K. Pennsylvania State Aug .1957-Aug .1958 University Hellman, Olavi B. Finland University of California, July 1956-July 1958 Los Angeles Helmberg, Gilbert Austria University of Wash- Oct.l,l957- ington June 15, 1958 Herve, Michel France Institute for Advanced Sept.30,1957- Study Dec. 20,1957 Hirsch, Guy Belgium Massachusetts Institute Feb.l,l958- of Technology June 15,1958 Hitotumatu, Sin Japan Stanford University Sept.!, 1957- June 30, 1958 Husser, Rudolph Switzer- University of California, Academic Year land Los Angeles 1957-58 Izumi, Shin-ichi Japan University of Chicago Aug.l957-May 1958 and Northwestern Uni- versity (joint),Aug.l,l957 May 31,1958;Princeton University ,Oct.l957- Dec. 1957 Kato, Tosio Japan New York University, Sept; 1957 Sept.-Oct.l957; Uni- Oct. 1958 versity of California, Berkeley ,part of Oct .19-58 Kawata, T. Japan Princeton University Sept.l957-March 1958 Kitawaga, T. Japan Princeton University Sept.l957-March 1958 Klingenberg, Germany Institute for Advanced Academic Year Wilhelm Study 1957-58 Laasonen, V .Pentti Finland University of California, July 1956-Aug.l958 J. Los Angeles Lacombe, Daniel L. France Institute for Advanced Oct.l957-Aug.l958 M. Study Lehto, Olli E. Finland Institute for Advanced Academic Year Study 1957-58
38 Home Period of visit Name Country Host Institution From To
Leopoldt, Heinrich Germany Institute for Advanced Sept.1956 -Aug .1958 w. Study Leray, Jean France Institute for Advanced Sept.30,19-57- Study Dec.20,1957 Lights tone, A. H. Canada University of California, Academic Year Berkeley 1957-58 Lions, Jacques France University of Kansas Feb.1957- Aug.1958 Littlewood, J, E. England University of California, Sept.2 7-Dec.18 ,1957 Berkeley Longuet- Higgins, U, K. Massachusetts Institute Feb.l,1958- Michael S. of Technology June 15, 1958 Lorerrzen,Paul P. W. Germany Institute for Advanced Sept.1957-June 1958 Study Lucas, John R. U.K. Princeton University Sept.1957-June 1958 Lumer, Gunter Uruguay University of Chicago Oct.l,1957- Sept.30, 1958
Mallows, Colin L. U.K. Princeton University Sept.1957-Sept.1958 Mardesic, Sibe Jugoslavia Institute for Advanced Academic Year Study 1957-58 Martin, Alfred I. U.K. Institute for Advanced Academic Year Study 1957-58 Masani, Pesi India Massachusetts Institute Sept.16,1957- of Technology- Harvard June 15, 1958 University Message, Philip J. U.K. Yale University Sept.1957-Sept.1958 Milne-Thomson, U.K. Brown University Sept.1956-June 1958 L. M. Mixner, Joseph Germany New York University Aug.-Oct. 1957 M!liller, Christian Denmark Carnegie Institute of Sept.1957-Feb. 1958 Technology Nachbin, Leopolda Brazil University of Chicago Oct.I,1956- July 31,1958 Nagata, Masayoshi Japan Harvard University Sept.1957 -Sept.1958 Nieminen, Toivo E. Finland New York University Aug.1957-June 1958 Ogawa, Junjiro Japan Institute of Statistics, Sept.l956- University of North Aug.31,1958 Carolina Olver, F. W. J. U.K. National Bureau of Sept.30,1957- Standards Sept. 1958
39 Horne Period of visit Name Country Host Institution From To
O'Meara, Onorato South Institute for Advanced Academic Year T. Africa Study 1957-58 Ono, Katsuzi Japan Massachusetts Institute Sept.1957-June 1958 of Technology Ostrowski, Switzer- American University Oct.10-31,1957 Alexander M. land National Bureau of Standards Papakyriakopoulos, Greece Institute for Advanced June 3,1955- C. D. Study June 1958 Peixoto, Mauricio Brazil Princeton University Sept.1957-June 1958 M. Pfluger, Albert Switzer- Stanford University Oct.l,1957- land Mar.31,1958 Poulsen, Ebbe T. Denmark University of California, July 1957-June 1958 Berkeley Pucci, Carlo Italy University of Maryland Sept.1,1956-July 1958 Puppe, Dieter Germany Institute for Advanced Sept.1957-June 1958 Study Rieger, Georg J. Germany University of Maryland Sept.1956-Aug .1957 Riesz, Marcel Sweden University of Maryland Oct.1,1957- Dec.31,1957 Robinson, Leslie U.K. Harvard University Sept.l957 -Sept.1958 R. B.
Rogosinski, Werner U.K. University of Colorado Sept.1957-Sept.1958 w. Rohrbach, Hans Germany University of North Sept.1957-June 1958 Carolina Room, T. G. Australia Institute for Advanced Sept.1957-June 1958 Study, Academic Year 1957 -58;Princeton University ,Feb.1958- June 1958 Roseau, Maurice France New York University Sept.1957-Sept. 1958 Sawyer, W. W. U.K. University of Illinois Feb .1 9 57-Indefinite Schopf, Andreas Switzer- American University- Sept .3 0,19 57- land National Bureau of Oct. 1958 Standards Scriba, J. Cristoph Germany University of Kentucky Sept.1957-June 1958 Selberg, Sigrn und Norway University of Colorado Sept.1957-May 1958 Serre, Jean-Pierre France Institute for Advanced Sept.30,1957- Study Dec. 20,1957 40 Home Period of visit Name Country Host Institution From To
Skolem, Thoralf A. Norway University of Notre Dame Sept.l957-June 1958 Specker, Ernst Switzer Cornell University Feb.lO-Sept. 1958 Paul land Stoll, Wilhelm Germany Institute for Advanced Academic Year Study 1957-58 Szmielew, Wanda Poland University of California, Academic Year Berkeley 1957-58 Tamagawa, Tsuneo japan Institute for Advanced Sept.1955-Apr .1958 Study,Sept.1955-jan. 1957 and Jan.l3 ,1958-Apr .11, 1958;Johns Hopkins Uni- versity ,Jan.1957-jan.1958 Tomonaga, Yasuro Japan University of Washington Oct.15,1957- june 15, 1958 Valpola, Veli Finland University of California, Nov.1957-April 1958 Kustaa Berkeley, 2 months; Princeton University, 4 months VanDer Vaart, Nether- North Carolina State Jan. 1957-Jan.1958 H. R. lands College Villamayor, Argentina Institute for Advanced jan.1,1957- Orlando Study Dec. 31,1957 Waelbroeck, L. Belgium Institute for Advanced Academic Year Study 1957-58 Watson, Geoffrey S. Australia North Carolina State April 1958-Dec. 1958 College, 4 months; Princeton University, 5 months Williams, Robert M. U, K. Princeton University Sept.1957-June 1958 Wolff, Emil U.K. New York University june-Nov. 1957 Yamamuro, Japan Institute for Advanced Sept.1956-Sept.1958 Sad a yuki Study Yevdjevich, V.M. Yugoslavia American University 1957-58 National Bureau of Standards Yuksel, H. Turkey Brown University Academic Year 1957-58 Zadunaisky, Pedro Argentina Watson Scientific Feb.l,1957- Computing Laboratory Jan. 31, 1958
The Division of Mathematics welcomes information on present and future visits of mathematicians from abroad.
41 PERSOH AL ITEMS (This section is restricted to members of the Society)
Professor A. A. Albert of the University of Chicago has been appointed to the Steering Group of the General Science panel of the Assistant Secretary of Defense for one year. Function of the group is to formulate policies for the larger panel, which advises the Secretary as to allocations for scientific research. Assistant Professor G. H. Butcher of Howard University is on leave and has been awarded a National Science Foundation Fellow ship at the University of Pennsylvania. Professor Kunihiko Kodaira of Princeton University has been awarded the Japanese Cultural Medal. Dr. P. J, Koosis has been awarded a Fulbright Scholarship until March 1958 at the F aculte des Sciences, Mathematiques Uni versite de Montpellier, and a National Science Foundation Fellow ship from March 1958 to June 1959 at the same University. Associate Professor G. S. S. Ludford of the University of Maryland has received a Guggenheim fellowship and is on leave at Harvard University. Professor Emeritus Solomon Lefschetz of Princeton University has been elected a corresponding Member of the Academie des Sciences of Paris. Professor D. J, Struik of the Massachusetts Institute of Tech nology has been elected an Honoru;y Member of the Mexican Mathe m a tical Society. Professor Alfred Tarski has been appointed an honorary mem ber of the Dutch mathematical society, Het Wiskundig Genootschap. Dr. Warren Weaver of the Rockefeller Foundation has been awarded the Public Welfare Medal of the National Academy of Sciences for "eminence in the application of science to the public welfare". Dr. Brian Abrahamson of the University of Cape Town has been appointed to a professorship at Rhodes University. Mr. D. S. Adorno of Iowa State College has accepted a position as senior engineer for Sylvania Electric Products Company, Waltham, Massachusetts. Associate Professor M.A. Al-Bassam of the College of Engi neering, Baghdad, Iraq, has been appointed to an associate professor ship at Lamar State College. Professor E. S, Andersen of the DANA Life Insurance Company has been appointed to a visiting professorship at the University of Minnesota. Professor T. W. Anderson, Jr., of Columbia University is on leave and has been appointed a Fellow at the Center for Advanced Study in the Behavioral Sciences, Stanford, California.
42 Mr. D. L. Arenson of Ex-Cel Development Company has ac cepted a position as manager of the Engineering Thermodynamics and Weapons Development, American Machine and Foundry Company, Chicago, Illinois . Dr. R. L. Becker of Yale University has accepted a position as physicist at Oak Ridge National Laboratory. Associate Professor B. H. Bissinger of Lebanon Valley College has been elected to the graduate faculty of Pennsylvania State Uni versity. Associate Professor C. R. Blyth of the University of Illinois is on leave and has been appointed to a visiting associate professor ship at Stanford University. Dr. J. R. Bowman of the Mellon Institute has been appointed associate dean of engineering and professor of science-engineering at Northwestern University. Mr. C. M. Braden of the University of Minnesota has been ap pointed to an assistant professorship at Macalester College. Assistant Professor T. R. Brahana of the University of Georgia is on leave and has been appointed a member of the Institute for Advanced Study. Dr. J. H. Bramble of the University of Maryland has accepted a position as manager of Mechanics and Engineering Systems, General Electric Company, Evendale, Ohio. Professor Leonard Bristow of the University of Santa Clara has been appointed to an assistant professorship at San Jose State College. Dr. D. M. Brown of the University of Michigan has accepted a position as educational staff consultant for Remington-Rand UNIVAC, St. Paul, Minnesota. Dr. W. M. Brown of Johns Hopkins University has accepted a position as a member of the technical staff at the Institute for De fense Analysis, Pentagon, Washington, D. C. Mr. W. R. Callahan of the University of Michigan has been appointed to an assistant professorship at the Catholic University of America. Professor Sarvadaman Chowla of the University of Colorado is on leave and will be at the Institute for Advanced Study during the year 1957-58. Dr. David L. Clark of Oregon State College has accepted a position as a member of the technical staff of Bell Telephone Labo ratories, New York, New York. Mr. Russell C. Collmer of Massachusetts Institute of Tech nology has accepted a position as computer systems analyst for General Electric Company, Tempe, Arizona. Professor Mischa Cotlar of the University of Buenos Aires is on leave and has been appointed a visiting lecturer at the Universidad
43 de LaPlata. Dr. Karel deLeeuw of the University of Wisconsin has been appointed to an assistant professorship at Stanford University. Dr. R. F. Drenick of RCA Victor Division has accepted a po sition as a member of the technical staff at Bell Telephone Labo ratories, New York, New York. Dr. W. P. Eames of University College, London, has been ap pointed to an assistant professorship at the University of New Brunswick. Professor Benjamin Epstein of Wayne State University is on leave and has been appointed to a visiting professorship at Stanford University. Dr. Robert Ellis of Pennsylvania State University has been appointed to an assistant professorship at the University of Pennsyl vania. Dr. J. L. Ericksen of the Naval Research Laboratory has been appointed to an associate professorship at Johns Hopkins University. Mr. Lawrence Fearnley of the University of Utah has been ap poiiJ.ted to an assistant professorship at Brigham Young University. Visiting Assistant Professor Jacob Feldman of Columbia Uni versity has been appointed to an assistant professorship at the Uni versity of California, Berkeley. Professor R.N. Festa of the Ministry of Education, Vienna, Austria, is on leave and has been appointed to a visiting professor ship at the State College of Washington. Dr. Irwin Fischer of Dartmouth College has been appointed to an assistant professorship at the University of Colorado. Dr. J. N. Franklin of ElectroData Division of Burroughs Corpo ration has been appointed to an associate professorship at the Cali fornia Institute of Technology. Dr. T. C. Fry of the Bell Telephone Laboratories has accepted a position as vice president of Remington-Rand Division of Sperry Rand Corporation, Norwalk, Connecticut. Dr. L. M. Fulton of Johns Hopkins University has accepted a position as assistant branch manager for International Business Machines Corporation, Baltimore, Maryland. Assistant Professor M. P. Gaffney of Northwestern University has been appointed a temporary member of the Institute of Mathe matical Sciences, New York University. Dr. Werner Gautschi of Ohio State University has been ap pointed to an assistant professorship at Indiana University. Assistant Professor Murray Gerstenhaber of the University of Pennsylvania is on leave and is at the Institute for Advanced Study for the year 1957-58. Dr. R. D. Glauz of the General Electric Company has accepted a position as technical specialist for Aerojet-General Corporation,
44 Sacramento, California. Assistant Professor Harry Gonshor of Pennsylvania State University has been appointed to an assistant professorship at Rutgers University. Dr. W. L. Gordon of the Defense Department has accepted a position as senior engineer in the Systems Department of Datamatic, Newton Highlands, Massachusetts. Dr. Morikuni Goto of Tulane University of Louisiana has been appointed to an assistant professorship at the University of Pennsyl vania. Mr. S. J. Greif of the University of Southern California has accepted a position as senior engineer-mathematician for Northrop Aircraft, Inc., Hawthorne, California. Dr. Susan G. Hahn of New York University has accepted a position as mathematician for the International Business Machines Corporation, New York, New York. Dr. Carl Hammer of Remington-Rand International Corporation has accepted a position as engineering specialist for Sylvania Electric Products, Inc., Waltham, Massachusetts. Professor E. H. Hanson of North Texas State College has accepted a position as engineering specialist for Chance-Vought Aircraft, Inc., Dallas, Texas. Assistant Professor Aaron Herschfeld of Canisius College has peen appointed to an assistant professorship at Pennsylvania State University. Dr. Harry Hochstadt of W. L. Maxson Corporation has been appointed to an assistant professorship at Brooklyn Polytechnic Institute. Dr. U. W. Hochstrasser of the National Bureau of Standards, Washington, D. C. has been appointed to an associate professorship and director of the Computation Center, University of Kansas. Mr. S. A. Hoffman of the University of Pennsylvania has ac cepted a position as associate development engineer for the Bur roughs Corporation, Paoli, Pennsylvania. Dr. B. M. Ingersoll of the City College of New York has been appointed to an assistant professorship at San Diego State College. Professor J. A. Jacobs of the University of Toronto has been appointed to a professorship at the University of British Columbia. Professor J, B. Jackson of the University of South Carolina has been appointed to a visiting professorship at Mary Washington College. Assistant Professor J. P. Jans of Ohio State University has been appointed to an assistant professorship at the University of Washington. Professor J. A. Jenkins of the University of Notre Dame is on leave and has been appointed a member of the Institute for Advanced Study. 45 Dr. R, P, Jerrard of the University of Michigan has accepted a position as a member of the technical staff, Bell Telephone Labo ratories, Whippany, New Jersey. Dr. G. P. Johnson of the California Research Corporation has accepted a position as senior mathematician for the Standard Oil Company of California, San Francisco, California. Mr. John Jones, Jr., of the University of Tennessee is on leave and has been appointed to an assistant professorship at the United States Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio. Dr. R. K. Juberg of the University of Minnesota has been ap pointed a temporary member of the Institute of Mathematical Sciences, New York University. Professor William Karush of the University of California has accepted a position as senior staff member for Ramo-Wooldridge Corporation, Los Angeles, California. Mr. Arthur Kaufman of Queens College has been appointed to an assistant professorship at Staten Island Community College. Assistant Professor M. L. Keedy of the University of Nebraska has been appointed associate director of Jr. High School Mathe matics Research Study at the University of Maryland. Miss Katherine E. Kellner of the University of Illinois has ac cepted a position as mathematician programmer at the Glendale Laboratory of the International Business Machines Corporation, Endicott, New York. Professor Claribel Kendall of the University of Colorado has retired with the title Professor Emeritus. Dr. M. A. Kervaire of the Massachusetts Institute of Technology has been appointed a member of the Institute for Advanced Study. Dr. E. G. Kim me of Oregon State College has accepted a position as a member of the technical staff of Bell Telephone Labo ratories, Murray Hill, New Jersey. Assistant Professor A. H. Koschmann of the University of Minnesota has been appointed to an associate professorship at the University of New Mexico. Dr. H. J, Landau of Harvard University has accepted a position as mathematician for the Bell Telephone Laboratories, Murray Hill, New Jersey. Mr. Milton Lees of the University of California, Berkeley, accepted a position as a mathematician with the Shell Development Company, Emeryville, California. Mr. H. L. Lewis of the Rand Corporation has accepted a position as assistant mathematician with Systems Development Corporation, Santa Monica, California. Dr. T. P. G. Liverman of the Operations Research Group, Washington University, has been appointed a mathematician at the
46 Applied Physics Laboratory, Johns Hopkins University. Mr. F. j. Lorenzen, jr ., of the University of New Hampshire has been appointed to an assistant professorship at Union College. Dr. K. R. Lucas of the University of Kansas has been appointed to an assistant professorship at the New Mexico College of Agri culture and Mechanic Arts. Dr. Lawrence Markus of Princeton University has been ap pointed to an assistant professorship at the University of Minnesota. Colonel j. D. Matheson of the United States Army has been appointed a senior research analyst for Melpar, Inc., Falls Church, Virginia. Assistant Professor Paul Meier of johns Hopkins University has been appointed to an associate professorship at the University of Chicago. Dr. josephine Mitchell of Westinghouse Research Laboratory has been appointed to an associate professorship at the University of Pittsburgh. Professor Emeritus C. N. Moore of the University of Cincinnati has been appointed to a visiting professorship at Antioch College. Mr. H. D. Morgan of Eugene M. Klein and Associates has accepted a position as assistant actuary for johnson and Higgins, New York, New York. Dr. j. K. Moser of New York University has been appointed to an assistant professorship at the Massachusetts Institute of Tech nology. Professor C. E. Moulton of Shurtleff College has been appointed to an associate professorship at MacMurray College. Mr. R. B. Paine of the University of Washington has been appointed to an assistant professorship at Central Michigan College. Dr. R. N. Pederson of the University of Minnesota has been appointed a temporary member of the Institute of Mathematical Sciences, New York University. Dr. P. A. Penzo of the University of Pittsburgh has accepted a position as senior research engineer for CONVAIR Astronautics, San Diego, California. Assistant Professor W. J. Pervin of the University of Pittsburgh has been appointed to an assistant professorship at Pennsylvania State University. Dr. G. 0. Peters of the Kirk Engineering Company has accepted a position as fellow engineer for the Air Arm Division of Westing house Electric Company, Baltimore, Maryland. Associate Professor Gustave Rabson of Antioch College has accepted a position as senior mathematician in the Research Center of American Optical Company, Southbridge, Massachusetts. Mr. H. V. Radstrom of the Royal Institute of Technology is on leave and has been appointed to a visiting professorship at the Uni versity of Minnesota.
47 Dr. W. C. Randels of the Crown Cork and Seal Company has accepted a position as staff scientist for Lockheed Aircraft Corpo ration, Palo Alto, California Mr. H. E. Reinhardt of the University of Michigan has been appointed to an assistant professorship at Montana State University. Associate Professor F. Virginia Rohde of the University of Florida has been appointed to a professorship at the University of Chattanooga. Dr. Jerome Sacks of the California Institute of Technology has been appointed to an assistant professorship at Columbia University. Assistant Professor 0. P. Sanders of the University of Arkansas has been appointed to an associate professorship at Louisiana Polytechnic Institute. Mr. Murray Sa wits of the Teleregister Corporation has ac cepted a position as senior statistician for the Rayco Manufacturing Company, Paterson, New Jersey. Dr. H. E. Scarf of the RAND Corporation, Santa Monica, Cali fornia, has been appointed to an assistant professorship at Stanford University. Assistant Professor J. T. Schwartz of Yale University has been appointed to an associate professorship at New York University. Dr. Berthold Schweizer of the Illinois Institute of Technology has been appointed to an assistant professorship at San Diego State College. Dr. H. W. E. Schwerdtfeger of the University of Melbourne has been appointed to an associate professorship at McGill University. Associate Professor L. L. Scott of the University of Missis sippi has been appointed to an associate professorship at South western at Memphis. Dr. J. F. Seewerker of the University of California, Los Angeles, has been appointed to an assistant professorship at San Jose State College. Professor M. E. Shanks of Purdue University is on leave and is at the Institute for Advanced Study. Dr. D. L. Slotnick of Rutgers University has accepted a position as associate mathematician for the International Business Machines Corporation, Poughkeepsie, New York. Professor F. C. Smith of the College of St. Thomas has accepted a position as consulting actuary for George V. Stennes and Associ ates, Minneapplis, Minnesota. Dr. M. B. Smith, Jr., of the University of North Carolina has been appointed to an assistant professorship at Florida State Uni versity. Assistant Professor G. L. Spencer, II, of the University of Maryland has been appointed to an associate professorship at Williams College.
48 Dr, Abraham Spitzbart of Cincinnati, Ohio has been appointed to an associate professorship at the University of Wisconsin in Milwaukee. Mr. J, H. Stapleton of Purdue University has accepted a position in t.he Statistical Methods Section of the General Electric Company, Schenectady, New York. Dr. C. W. Steeg, Jr., of the Massachusetts Institute of Tech nology has accepted a position as manager of the Analysis and Simulation Department of Radio Corporation of America, Waltham, Massachusetts. Dr. H. A. Steinberg of Republic Aviation Corporation has ac cepted a position as senior mathematician for the Technical Re search Group, New York, New York. Miss Fern C. Stenwick of the David Taylor Model Basin has accepted a position as mathematician, Analog Systems, National Bureau of Standards, Washington, D. C. Mr. Paul Strauss of Cornell University has accepted a position in the applied programming department of the International Business Machines Corporation, New York, New York. Associate Professor E. A. Sturley of Allegheny College has been appointed to an associate professorship at the University of Southern Illinois. Mr. R. E. Thomas of North American Aviation, Inc. has ac cepted a position as assistant division consultant for Batelle Memo rial Institute, Columbus, Ohio. Professor W. J, Thron of the University of Colorado is on leave to study at the University of Munich during the year 1957-58. Dr. D. E. van Tijn of Arthur D. Little, Inc., has accepted a position at Applied Research, Inc., Frederick, Maryland. Associate Professor Henry Van Engen of Iowa State Teachers College has been appointed to a professorship at the University of Wisconsin. Professor E. G. Volterra of Rensselaer Polytechnic Institute has been appointed to a professorship at the University of Texas. Assistant Professor E. A. Walker of the University of Kansas has been appointed to an assistant professorship at the New Mexico College of Agriculture and Mechanic Arts. Dr. R. H. Wasserman of the National Advisory Committee for Aeronautics has been appointed to an assistant professorship at Michigan State University. Professor C. P. Wells of Michigan State University is on leave and has been appointed a research associate at the California Institute of Technology. Professor L. B. Williams of Reed College is on leave and is teaching at Wesleyan University.
49 Dr. J, C. Wilson of the Ordnance Guided Missile Laboratory, Redstone Arsenal, has been appointed to an assistant professorship at Southern Illinois University. Mr. J, B. Wilson of the University of Florida has been ap pointed to an assistant professorship at North Carolina State College. Dr. A. W. Wymore of Pure Oil Company has accepted a po sition as director of the Computing Center, Applied Research Labo ratory, University of Arizona. Dr. Michael Yanowitch of the Reeves Instrument Corporation has been appointed an associate research scientist at the Institute of Mathematical Sciences, New York University. Dr. E. M. Zaustinsky of the University of Southern California has been appointed to an assistant professorship at San jose State College. The following promotions are announced: J, C. Abbott, United States Naval Academy, to a professorship. W. R. Abel, University of Nebraska, to an assistant professor- ship. R. W. Allen, Xavier University, to an assistant professorship. T. M. Apostol, California Institute of Technology, to an associ- ate professorship. H. D. Block, Cornell University, to an associate professorship. Harvey Cohn, Washington University, to a professorship. E. G. H. Comfort, Ripon College, to a professorship. R. F. Cotellessa, New York University, to an associate profes sorship. Helen F. Cullen, University of Massachusetts, to an associate professorship. Marguerite D. Darkow, Hunter College, to a professorship. M. R. Demers, University of Nevada, to an associate professor ship. G. F. D. Duff, University of Toronto, to an associate professor ship. Gertrude Ehrlich, University of Maryland, to an assistant professorship. Harold Grad, New York University, to a professorship. Rose A. Grundman, University of Illinois, to an assistant professorship. G. E. Hay, University of Michigan, to a professorship. R. E. Heaton, Rutgers University, to an assistant professorship. Peter Henrici, University of California, Los Angeles, to an associate professorship. S. P. Hughart, Sacramento State College, to an associate professorship.
50 D. R. Hughes, Ohio State University, to an assistant professor ship. Burrows Hunt, Reed College, to an associate professorship. Meyer jerison, Purdue University, to an associate professor ship. H. T. jones, Emmanuel Missionary College, to an associate professorship. R. j. Kasriel, Georgia Institute of Technology, to an associate professorship. S. H. Khamis, American University of Beirut, to a professorship. joseph Landin, University of Illinois, to an associate professor- ship. P. D. Lax, New York University, to a professorship. P. j. Leah, St.Paul's College, to a professorship. W. A. j. Luxemburg, University of Toronto, to an assistant professorship. Ruth j. MacKichan, University of North Dakota, to an assistant professorship. R. W. Moller, Catholic University of America, to an associate professorship. Cathleen S. Morawetz, New York University, to an associate professorship. V. H. Morrill, Tarleton State College, to an assistant professor ship. Abba V. Newton, Vassar College, to a professorship. j. A. Nickel, Willamette University, to an assistant professor ship. Louis Nirenberg, New York University, to a professorship. I. D. Peters, West Virginia University, to an associate pro- fessorship. L. E. Pursell, Grinnell College, to an associate professorship. F. D. Quigley, Yale University, to an assistant professorship. E. R. Rang, University of Minnesota, to an assistant professor- ship. j. B. Roberts, Reed College, to an associate professorship. R. W. Royston, Washington and Lee University, to a professor ship. P. P. Saworotnow, Catholic University of America, to an assistant professorship. Seymour Schuster, Polytechnic Institute of Brooklyn, to an associate professorship. Albert Schild, Temple University, to an associate professor ship. j. B. Serrin, University of Minnesota, to an associate professor ship.
51 V. L. Shapiro, Rutgers University, to an associate professor ship. Abe Shenitzer, Rutgers University, to an assistant professor ship. Abe Sklar, Illinois Institute of Technology, to an assistant professor ship. W. B. Stenberg, University of Minnesota, to an assistant professorship. T. D. Sterling, Michigan State University, to an assistant professorship. E. W. Suppiger, Princeton University, to a professorship. L. M. Weiner, DePaul University, to an assistant professor ship. D. R. Whitney, Ohio State University, to a professorship. C. H. Wilcox, California Institute of Technology, to an assistant professorship. The following appointments to instructorships are announced: California Institute of Technology: Mr. H. B. Jenkins; University of California, Los Angeles: Dr. R. J. Blattner; University of Chicago: Dr. C. E. Watts; University of Cincinnati:. Mr. C. F. Pinzka; City College of New York: Dr. Alvin Hausner; Cornell Uni versity: Dr. R. G. Heyneman; Illinois Institute of Technology: Mr. W. G. Franzen, Mr. C. E. Stewart; University of Minnesota: Dr. N. G. Meyers; Louisiana State University: Mr. G. M. Fisher; Massa chusetts Institute of Technology: Mr. S. V. Parter; University of Massachusetts: Dr. A. G. Azpeitia, Mrs. Doris S. Stockton; Miami University: Mr. R. F. DeMar; University of -Minnesota: Mr. J. J; Yeh; MorehouseCollege: Dr. W. B. Houston, Jr; New York University: Dr. E. S.O'Keefe, Mr. Bernard Sohmer; Ohio State University: Dr. H. R. A. Holmann; Ohio Wesleyan University: Miss Winifred K. Burroughs; Pratt Institute: Mr. R. H. Kupperman; Princeton Uni versity: Dr. J. R. Munkres; Queens College: Dr. I. P. Polonsky; Uni versity of Rochester: William Browder; College of South Jersey, Rutgers University: Mr. Aaron Siegel; University of Southern Cali fornia: Dr. W. C. Bennewitz; Texas Technological College: Mr. R. A. Moreland, Jr; Tohoku University: Dr. Haruo Suzuki; Washington Missionary College: Dr. Oma Hamara; University of Washington: Dr. H. S. Bear, Dr. J. M. Gonza]ez-Fernandez; Wellesley College: Miss Edith Moss; Wells College: Mrs. Lensey C. Namioka; University of Wisconsin in Milwaukee: Mr. G. R. Lehner; University of Wis consin: Dr. J. M. Osborn, Jr., Dr. E. C. Posner. Deaths: Dr. Arthur F. Bentley of Paoli, Indiana, died May 21, 1957 at the age of eighty-seven years. He had been a member of the Society
52 for twenty-six years. Professor jekuthiel Ginsburg of Yeshiva University died October. 7, 1957 at the age of sixty-seven years. He had been a mem ber of the Society for twenty-four years. Dr. Edgar 0. Lovett, President Emeritus of Rice Institute died August 13, 1957 at the age of eighty-six years. He had been a Life Member of the Society since 1894. Professor Emeritus Elijah Swift of the University of Vermont and State Agricultural College died July 21, 1957 at the age of seventy-five years. He had been a Life Member of the Society since 1908.
53 NEW PUBLICATIONS
Aumann, J, R. See Hausdorff, F. Blaschke, W. Reden und Reisen eines Geometers. Berlin, VEE Deutscher Verlag der Wissenschaften, 1957. 118 pp. 7.20 DM. Buck, R. c. Advanced calculus. New York, McGraw-Hill, 1956. 8 + 423 pp. $8.50. Coxeter, H.S.M. Non-Euclidean geometry. (Mathematical Expositions, no. 2.) 3d ed. University of Toronto Press, 1957. 15 + 309 pp. $5.50. Feller, W. An introduction to probability theory and its applications. Vol. I. 2d ed. New York, Wiley, 1957. 15 + 461 pp. $10.75. GUnter, N. M., and Kusmin, R. 0. Aufgabensammlung zur hoheren Mathematik. Vol. I. Berlin, VEE Deutscher Verlag der Wissen schaften, 1957. 8 + 492 pp. 14.80 DM. Hadwiger, H. Vorlesungen iiber Inhalt, Oberflache und Isoperimetrie. Berlin, Springer, 1957. 13 + 312 pp. 46.20 DM. Hausdorff, F. Set theory. Trans. by J, R. Aumann et al. New York, Chelsea, 1957. 352 pp. $6.00. Hille, E., and Phillips, R.S. Functional analysis and semi-groups. (American Mathematical Society Colloquium Publications, vol. 31.) Rev. ed. Providence, American Mathematical Society, 1957. 12 + 808 pp. $13.80. Kusmin, R. 0. See Gunter, N. M. Meyer, C. Die Berechnung der Klassenzahl Abelscher Korper uber quadratischen Zahlkorpern. Berlin, Akademie-Verlag, 1957. 9 + 132 pp. 29.00 DM. Phillips, R. S. See Hille, E. Pontr jagin, L. S. Topologische Gruppen. I. Leipzig, Teubner, 1957. 263 pp. 15.00 DM. Prachar, K. Primzahlverteilung. Berlin, Springer, 1957. 10 + 415 pp. 55.00 DM. Roberts, H. V. See Wallis, W. A. Roeser, E. Die nichteuklidischen Geometrien und ihre Beziehungen untereinander. Munich, Oldenbourg, 1957. 233 pp. 25.00 DM. Saminsky, L. Physics and metaphysics of music and essays on the philosophy of mathematics. The Hague, Nijhoff, 1957.7 + 151 pp. 10.45 guilders. Schneider, T. Einfuhrung in die transzendenten Zahlen. Berlin, Springer, 1957. 5 + 150 pp. 21.60 DM. Wallis, W. A., and Roberts, H. V. Statistics, a new approach. Glencoe, Free Press, 1957. 38 + 646 pp. $6.00.
54 MEMORANDA TO MEMBERS THE 1958 COUNCIL
In the November, 1957 issue of the NOTICES it was announced that beginning in 1958 a new department of short announcements will appear in the BULLETIN. It is planned that the announcements shall be similar in length and character to those which have appeared in the Proceedings of the National Academy of Sciences. The Council of the Society is to act as a board of referees, receiving papers di rectly from the authors. Accepted papers are to be published with the name of the referee. For the convenience of authors who wish to contribute papers to this new department of the BULLETIN, a list of the members of the Council for 1958, revised in accordance with the recent election, is given below. E. F. Beckenbach V. L. Klee, Jr. E. G. Begle D. H. Lehmer R. E. Bellman L. H. Loomis Lipman Bers W. S. Massey R. H. Bing E. J. McShane Garrett Birkhoff A. E. Meder, Jr. R. P. Boas, Jr. E. E. Moise Salomon Bochner Deane Montgomery Richard Brauer J. C. Oxtoby S. S. Chern B. J. Pettis J. L. Doob P. C. Rosenbloom Samuel Eilenberg Walter Rudin A.M. Gleason Hans Samelson J. W. Green R. D. Schafer P.R. Halmos I. J. Schoenberg Harish -Chandra I. E. Segal Einar Hille N. E. Steenrod G. P. Hochschild A. H. Taub G. B. Huff A. W. Tucker Mark Kac S.M. Ulam Irving Kaplansky A. D. Wallace J. L. Kelley Andre Weil J, W. T. Youngs
55 CORPORATE AND INSTITUTIONAL MEMBERS OF THE AMERICAN MATHEMATICAL SOCIETY As of December 13, 1957, the following were supporting the So ciety through Corporate or Institutional memberships: CORPORATE MEMBERS -·-··--·-··· .... ···-- International Business Machines Corporation Shell Development Company Sun Oil Company INSTITUTIONAL MEMBERS Acadia University, Wolfville, N. S., Canada Alabama Polytechnic Institute, Auburn, Alabama University of Alabama, University, Alabama University of Alberta, Edmonton, Alberta, Canada Amberst College, Amherst, Massachusetts University of Arizona, Tucson, Arizona Bell Telephone Laboratories, New York 14, New York Beloit College, Beloit, Wisconsin Brandeis University, Waltham, Massachusetts Brigham Young University, Provo, Utah University of British Columbia, Vancouver, B. C., Canada Brooklyn College, Brooklyn 10, New York Brown University, Providence 12, Rhode Island Bryn Mawr College, Bryn Mawr, Pennsylvania University of Buffalo, Buffalo 14, New York California Institute of Technology, Pasadena 4, California University of California, Berkeley 4, California University of California, Davis, California University of California, Los Angeles 24, California University of California, Riverside, California Carnegie Institute of Technology, Pittsburgh 13, Pennsylvania Case Institute of Technology, Cleveland 6, Ohio Catholic University of America, Washington 17, D. C. University of Chicago, Chicago 37, Illinois University of Cincinnati, Cincinnati 21, Ohio City College, New York 31, New York University of Colorado, Boulder, Colorado Columbia University, New York 27, New York Connecticut College, New London, Connecticut Cornell University, Ithaca, New York Dartmouth College, Hanover, New Hampshire University of Delaware, Newark, Delaware De Paul University, Chicago 14, Illinois University of Detroit, Detroit 1, Michigan
56 Duke University, Durham, North Carolina Duquesne University, Pittsburgh 19, Pennsylvania Florida State University, Tallahassee, Florida University of Florida, Gainesville, Florida Georgetown University, Washington 7, D. C. University of Georgia, Athens, Georgia Gettysburg College, Gettysburg, Pennsylvania Goucher College, Towson, Maryland Grinnell College, Grinnell, Iowa Harpur College, Endicott, New York Harvard University, Cambridge 3 8, Massachusetts Haverford College, Haverford, Pennsylvania College of the Holy Cross, Worcester 3, Massachusetts University of Houston, Houston 4, Texas Illinois Institute of Technology, Chicago 16, Illinois University of Illinois, Urbana, Illinois Immaculata College, Immaculata, Pennsylvania Indiana University, Bloomington, Indiana Institute for Advanced Study, Princeton, New Jersey Iowa State College of Agriculture and Mechanic Arts, Ames, Iowa The State University of Iowa, Iowa City, Iowa The Johns Hopkins University, Baltimore 18, Maryland University of Kansas, Lawrence, Kansas University of Kentucky, Lexington 2 9, Kentucky Kenyon College, Gambier, Ohio Lehigh University, Bethlehem, Pennsylvania Louisiana State University and Agricultural and Mechanical College, Baton Rouge 3, Louisiana McGill University, Montreal, Quebec, Canada University of Manitoba, Winnipeg, Manitoba, Canada University of Maryland, College Park, Maryland Massachusetts Institute of Technology, Cambridge 39, Massachusetts University of Massachusetts, Amherst, Massachusetts Mathematical Association of America, Buffalo 14, New Y.ork Metropolitan Life Insurance Company, New York 10, New York University of Miami, Coral Gables, Florida University of Michigan, Ann Arbor, Michigan Michigan State University of Agriculture and Applied Science, East Lansing, Michigan University of Minnesota, Minneapolis 14, Minnesota Mississippi State College, State College, Mississippi University of Mississippi, University, Mississippi
57 University of Missouri, Columbia, Missouri Montana State College, Bozeman, Montana Montana State University, Missoula, Montana Mount Holyoke College, South Hadley, Massachusetts University of Nebraska, Lincoln 8, Nebraska University of New Hampshire, Durham, New Hampshire New Mexico College of Agriculture and Mechanical Arts, State College, New Mexico University of New Mexico, Albuquerque, New Mexico New York University, New York 3, New York University of North Carolina, Chapel Hill, North Carolina North Texas State College, Denton, Texas Northwestern University, Evanston, Illinois University of Notre Dame, Notre Dame, Indiana Oberlin College, Oberlin, Ohio Ohio State University, Columbus 10, Ohio Oklahoma Agricultural and Mechanical College, Stillwater, Oklahoma University of Oklahoma, Norman, Oklahoma Oregon State College, Corvallis, Oregon University of Oregon, Eugene, Oregon Pennsylvania State University, University Park, Pennsylvania University of Pennsylvania, Philadelphia 4, Pennsylvania University of Pittsburgh, Pittsburgh 13, Pennsylvania Princeton University, Princeton, New Jersey Purdue University, Lafayette, Indiana Queens College, Flushing 67, New York Randolph-Macon Woman's College, Lynchburg, Virginia Rice Institute, Houston 1, Texas University of Rochester, Rochester 3, New York Rutgers University, New Brunswick, New Jersey The College of St. Thomas, St. Paul 5, Minnesota University of Santa Clara, Santa Clara, California University of Saskatchewan, Saskatoon, Saskatchewan, Canada Smith College, Northampton, Massachusetts South Dakota State College of Agriculture and Mechanic Arts, Brookings, South Dakota University of Southern California, Los Angeles 7, California Southern Illinois University, Carbondale, Illinois Southern Methodist University, Dallas 5, Texas Stanford University, Stanford, California Swarthmore College, Swarthmore, Pennsylvania Sweet Briar College, Sweet Briar, Virginia Syracuse University, Syracuse 10, New York Temple University, Philadelphia 22, Pennsylvania University of Tennessee, Knoxville 16, Tennessee
58 Texas Agricultural and Mechanical College, College Station, Texas Texas Christian University, Fort Worth, Texas Texas Technological College, Lubbock, Texas University of Texas, Austin, Texas University of Toronto, Toronto 5, Ontario, Canada Tulane University of Louisiana, New Orleans 15, Louisiana Ur Organizations Cooperating as Nonmembers Rockefeller Foundation, New York 20, New York University of Wisconsin, Madison 6, Wisconsin BEQUESTS AND OTHER CAPITAL GIFTS A legacy or other capital gift to the American Mathematical Society is an effective contribution to the advancement of m a the matical research. Investment income now provides essential support for the activities of the Society, and most of it is derived from gifts and bequests which have been made over the years by persons inter ested in mathematics. It is Society policy to recognize a donor by attaching his name, or any other name specified by him as a memorial, to the fund given by him or to the activity supported by the fund. Gifts and bequests to the Society are deductible for income, gift, and state tax purposes. 59 CATALOGUE OF LECTURE NOTES ON MATHEMATICS TOPICS UNIVERSITY OF ALBERT A The following items may be ordered from: W. L. G. Williams, Canadian Mathematical Congress, Chemistry Building, McGill Uni versity, Montreal, Quebec. These are notes of lectures held at the University of Alberta, August 12-31,1957, in a seminar organized by the Canadian Mathematical Congress. L. MOSER, Number Theory $1.50 A. D. ALEXANDROV, Intrinsic Geometry of Surfaces 1.50 H. J, ZASSENHAUS, Lie Rings and Lie Algebras 1.50 P. HALL, Nilpotent Groups 1.50 J, DIXMIER, Alg~bres de von Neumann (supplement by S. Berberian) 1.50 J, DIXMIER, Les anneaux d'operateurs 1.50 The following items may be ordered from: Dr. G. K. Horton, Mathematics Department, University of Alberta, Edmonton, Alberta. These are notes of lectures held at the University of Alberta, August 12-31, 1957, in a seminar on theoretical physics organized by the Canadian Association of Physicists. W. T. SHARP, Quantum Theory of Angular Momentum $1.50 T. Y. WU, Scattering Theory 1.50 P. MORRISON, Some Properties of Uncommon Forms of Matter 1.50 E. N. ADAMS, Solid State Theory 1.50 J, SCHWINGER, The Theory of Fundamental Particles 1.50 J, D. jACKSON, Physics of Elementary Particles 1.50 E. P. WIGNER, Quantum Mechanics and Relativistic In variance 1.50 W. OPECHOWSKI, Magnetic Resonance 1.50 60 UNIVERSITY OF BRITISH COLUMBIA The following item may be ordered from: U. B. C. Bookstore, Vancouver 8, B. C., Canada. HARRY F. DAVIS, Discrete Harmouic Analysis, 120 pp. (Will be available June 30, 1958) $2.00 COLUMBIA UNIVERSITY The following item may be ordered from: E. R. Lorch, 240 Milbank, Columbia University, New York 27, New York. E. R. LORCH, Anelli Normati, 33 pp. (1954) $1.00 The following item may be ordered from: Columbia University Press, New York 27, New York. E. R. LORCH, Theory of Functions, 139 pp. First Edition 1941. 2.50 HARVARD UNIVERSITY The following items may be ordered from: Mathematics De partment, Harvard University, Cambridge 38, Massachusetts. No notes will be sent without check. R. BRAUER and E. WEISS, Non-Commutative Rings, Part I, 138+35 pp. $2.00 P. C. ROSENBLOOM, Linear Partial Differential Equations, 237+21 pp. 2.50 INSTITUTE FOR ADVANCED STUDY The following items may be ordered from: Building C, Institute for Advanced Study, Princeton, New Jersey MARSTON MORSE, Introduction to Analysis in the Large, 191 pp. $3.76 OSWALD VEBLEN, and JOHN von NEUMANN, Geometry of Complex Domains, 259 pp. 4.20 HERMANN WEYL, The Structure and Representation of Continuous Groups, 210 pp. 4.01 61 UNIVERSITY OF KANSAS The following items may be ordered from: Student Union Book Store, University of Kansas, Lawrence, Kansas. W. R. SCOTT, C. V. HOLMES, and E. A. Walker, Contri- butions to the Theory of Groups, Report No. 5 Re search Grant NSF-G 1126, 129 pp. $2.00 A. H. KRUSE, Introduction to the Theory of Block As sem- blages and Related Topics in Topology, Report No. 6, Research Grant NSF-G 1126, viii+ 306 pp. 3.00 EBERHARD HOPF, PETER D. LAX, and M. M. SCHIFFER, Lecture Series of the Symposium on Partial Differential Equations. The Symposium was held in Berkeley ,Cali fornia, Summer 1955, and sponsored by: Office of Naval Research, University of California, Berkeley. University of Kansas, American Mathematical Society. 152 pp. hard- cover, cloth binding, litho -printed. 1.50 J. L. LIONS, Boundary Value Problems. l. Remarks on Linear Differential Equations whose Coefficients are Unbounded Operators. 2. A Dirichlet Problem for Parabolic Oper ators of any Order. 3. Mixed Boundary Value Problems for Schroedinger Equations in Noncylindrical Domains. Nattional Science Foundation Grant NSF G-3465, 101 pp. 2.00 UNIVERSITY OF MICHIGAN The following items may be ordered from: Publications Distri bution Service, University Press, Maynard Street, Ann Arbor, Michigan. J, W. CARR, III, and N. R. SCOTT, Notes on Digital Com puters and Data Processors,-1956. $10.00 J. W. CARR, III, and R.C.F. BARTELS, Notes on Advanced Numerical Analysis,-1957. J, W. CARR, III, Notes on Application of Logic to Digital Computer Programming,1957. 62 NEW YORK UNIVERSITY The following items may be ordered from: Institute of Mathe matical Sciences, 25 Waverly Place, New York 3, New York. (Please add $0.15 to each title for postage and handling.) E. ARTIN, Elements of Algebraic Geometry, 142 pp. $2.50 E. ARTIN, Modern Higher Algebra (Galois Theory), 1947, 198 pp. 3.25 *L. BERS, Introduction to Topology, 1957,256 pp. 4.00 L. BERS, Theory of Pseudo-analytic Functions, 1951, 187 pp. 3.00 *R. COURANT, Calculus of Variations (Revision by J. Moser), 1957, 280 pp. 4.00 R. COURANT, Methods of Mathematical Physics, 1951, 282 pp. 3.25 R. COURANT, Theory of Functions of a Complex Variable, 226pp. 3.50 K. 0. FRIEDRICHS, A Chapter in the Theory of Linear Operators in Hilbert Space, 1951, 49 pp. .75 K. 0. FRIEDRICHS, Advanced Ordinary Differential Equations, 281 pp. 3.25 K. 0. FRIEDRICHS, Functional Analysis and Applications, 210 pp. 3.00 K. 0. FRIEDRICHS, Methods of Ma1:hematical Physics, 1944, 225 pp. 3.25 *K. 0. FRIEDRICHS, Supplement to above, 28 pp. .50 *FRIEDRICHS et al, Integration of Functionals, 1957, 203 pp. 3.00 *K. 0. FRIEDRICHS, Special Topics in Fluid Dynamics, 1952, 195 pp. 3.00 *K. 0. FRIEDRICHS, Spectral Representation of Linear Operators, 1948, 191 pp. 2.75 K. 0. FRIEDRICHS, The Theory of Wave Propagation, 1952, 174 pp. 2.75 H. HOPF , Selected Topics in Differential Geometry, 1955, 74 pp. 1.50 F. JOHN, Advanced Numerical Methods, 1957, 194 pp. 3.00 63 F. JOHN, Differential Equations with Approximate and Improper Data, 1955, 88 pp. $1.50 F. JOHN, Partial Differential Equations, 1953, 211 pp. 3.50 F. JOHN, Special Topics in Partial Differential Equations, 1952, 165 pp. 2.50 P. LAX, Partial Differential Equations, 1952 (With Appen dix by A. Douglis), 276 pp. 3.50 W. MAGNUS, Discrete Groups, 1953, 116 pp. 2.25 L. NIRENBERG, Seminar: Differential Geometry in the Large, 1948, 81 pp. 1.50 A. PETERS, Linear Algebra, 1948, 154 pp. 2.50 V. RA YUDU, Applications of Group Theory to Physical Problems, 1954, 208 pp. 3.50 F. RELLICH, Perturbation Theory of Eigenvalue Problems, 164 pp. 2.75 H. N. SHAPIRO, The Theory of Numbers, 1952, 232 pp. 3.50 J. J. STOKER, Differential Geometry, 1948, 157 pp. 2.50 J. J. STOKER, Introduction to the Geometry of Point Sets, 1953, 114 pp. 2.25 * unbound copies OHIO STATE UNIVERSITY The following items may be ordered from: Ohio State University Press, Columbus 10, Ohio. H. B. MANN, Introduction to the Theory of Stochastic Pro cesses Depending on a Continuous Parameter H. B. MANN, Introduction to Algebraic Number Theory. OKLAHOMA STATE UNIVERSITY The following items may be ordered from: The University Bookstore, Stillwater, Oklahoma. A. ROSENTHAL, Introduction to Measure Theory and Inte gration, 125 pp. $2.50 H. S. M. COXETER, Contributions of Geometry to the Main Stream of Mathematics, 167 pp. 2.50 64 B. E. MESERVE, Foundations of Algebra for High School Mathematics Teachers, 198 pp. $2.50 H. F. FEHR, Modern Mathematics and the High School Cur- riculum, 114 pp. 2 .00 N. A. COURT, Modern Pure Geometry for High School Teach- ers, 101 pp. 2.00 A. W. TUCKER, Game Theory and Programming, 86 pp. 2.00 S. MacLANE, E. G. BEGLE and G. B. PRICE, Lectures on Experimental Programs in Collegiate Mathematics, 43 pp. 1.00 R. V. ANDREE, Calculus for Secondary School Science Teachers, 214 pp. 2.50 S. P. HUGHART, Some Topics in Modern Mathematics for Secondary School Science Teachers, 216 pp. 2.50 The following item may be ordered from: Department of Mathe matics, Stillwater, Oklahoma. N. ARONSZAJN et. al., Proceedings of the Symposium on Spectral Theory and Differential Equations, 454 pp. $3.50 WILLIAMS COLLEGE The following items may be ordered from: College Bookstore, Williamstown, Massachusetts. S. C. KLEENE, Sets, Logic and Mathematical Foundations 174 pp. $1.15 B. W. JONES, Algebra and Number Theory, 91 pp. .70 65 MAP OF CINCINNATI Complied...... fro'" lty tho Cincinnati Autornolllfo CluiJ l'fO'rE --+ --+ -+ ONE WAY r~AI'_.U; 67 Forthcoming Wiley Books ... COLLEGE PLANE GEOMETRY By Edwin W. Hemmerling, Bakersfield College. Ready in Feb ruary. Approx. 288 pages. Prob. $,4.95. MATHEMATICS IN BUSINESS By Lloyd L. Lowenstein, Arizona State College. Ready in March. Approx. 348 pages. Prob. $5.00. SURVEYS IN APPLIED MATHEMATICS A series of five books dealing with advanced aspects of mathe matics and featuring an up-to-date survey and guide to the Russian literature of mathematics. First two volumes to be published shortly. CALCULUS. 2nd Ed. By Edward S. Smith, Meyer Salk•wer, and Howard K. Justice, all of the University of Cincinnati. Coming in January. Approx. 533 pages. Prob. $6. 50. LINEAR ALGEBRA FOR UNDERGRADUATES By D. C. Murdoch, The University of British Columbia. 1957. 239 pages. $5.50. VECTOR ANALYSIS By Louis Brand, University of Houston. 1957. 282 pages. $6.00. VECTOR SPACES AND MATRICES By Robert M. Thrall, University of Michigan, and Leonard Torn heim, California Research Corporation. 1957. 318 pages. $6.75. Visit the Wiley Booth at the American Mathematical Society Convention. Send for examination copies. JOHN WILEY & SONS, Inc., 440-4th Ave., New York 16, N.Y. Welcome io CINCINNATI from MATHEMATICAL Cincinnati's REVIEWS Largest Hotel A Journal Containing Reviews of the Mathematical Litera· ture of the World, with full Subject and Author Indices SuERATON Sponsored by GtosoN The American Mathematical Society The Mathematical Association of --.HOTEL America The Society tor Industrial and Applied Mathematics The Institute of Mathematical Statistics The Edinburgh Mathematical Society Societe Math6matique de France Dansk Matematisk Forening Het Wiskundig Genootschap te Amsterdam The London Mathematical Society Polskie Towarzystow Matematycne Uni6n Matemdtica Argentina Revised edition Indian Mathematical Society of Union Matematica Italiana Colloquium Publications Volume XXXI Subscriptions accepted to cover the calendar year only. Issues appear Functional Analysis monthly except July. $35.00 per and year. $12.00 to members of spon· sodng organizations. An edition Semi-groups printed on one side, for biblio· graphical purposes, is available at by an additional charge of $1.00 per EINAR HILLE year. Unesco Book Coupons may be and used in payment. RALPH S. PHILLIPS Send subscription orders to $r3.8o 8o8 pages 25o/o discount to members AMERICAN MATHEMATICAL SOCIETY AMERICAN MATHEMATICAL SOCIETY 190 Hope Street 190 Hope Street Providence, Rhode Island Providence 6, R. I. A reservation form for the Cincinnati meeting appears below. Reservations are to be mailed directly to the Resident Manager, Sheraton-Gibson Hotel, Cincinnati 1, Ohio. AMERICAN MATHEMATICAL SOCIETY January 28-30, 1958 RESERVATION FORM STREET CITY STATE DATE ARRIVING A.M. P.M. DEPARTURE DATE A.M. P.M. NAME OF ORGANIZATION SINGLE ROOMS FOR ONE $5.85, $7.50, $7.85, $8.00, $8.50, $9.00, $10.50, $11.85 and up DOUBLE ROOMS FOR TWO (Double Bod)$8.85, $10.50, $10.85, $11.00, $11.50, $13.50, $14.8~ TWIN BEDS FOR TWO $11.00, $11.50, $12.00, $12.50, $14.00, $15.35,$17.50 PARLOR SUITES (2 Room•) Single, $25.00 to $40.00-Double, $29.50 to $70.00 (Information regarding special dormitory rafes upon request) IESDVE CHECK HEIE Jtate $ Single loom (One Person} Double led (Two Persons} Twin leds Parlor and leclroom 71