Notices of the American Mathematical Society

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NOTICES OF THE

AMERICAN MATHEMATICAL SOCIETY EDITED BY

W. T. MARTIN

G. B. PRICE

ISSUE NUMBER 6 NOVEMBER, 1954 CONTENTS Programs of Meetings University, Alabama, November 26-27 .............................................. 3 Iowa City, Iowa, November 26-27 ..................................................... 8 Los Angeles, California, November 27 ............................................. 12 Announcements of Meetings Calendar of Meetings .... .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. ... . .. .. .. .. .. .. .. .. .. .. .. .. .. Joint Session with the AAAS .............................................................. Institute of the Aeronautical Sciences .............................................. Midwestern Conferences on Fluid and Solid Mechanics ................. Third U. S. National Congress of Applied Mechanics ....................

2 15 16 16 16

Memoranda to Members Changes of Address ............................................................................. 15 National Register of Scientific and Technical Personnel .............. 15 National Research Council ................................................................. 17 Notes ............................................................................................................ 18 New Publications ........................................................................................ 22 The Notices of the American Mathematical Society is published seven times a year, in February, April, June, August, October, November, and December. Inquiries should be addressed to the American Mathematical Society, 450 Ahnaip Street, Menasha, Wis., or 80 Waterman Street, Providence 6, R.I. Entered as second-class matter at the post office at Menasha, Wisconsin. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 34.21, P. L. & R.). Accepted for mailing at the special rate of postage provided for in section 34.40, paragraph (d). Items for Notes should be sent toN otices of the American Mathematical Society, 80 Waterman Street, Providence 6, R.I. PUBLISHED BY THE SOCIETY

MENASHA, WIS., and PROVIDENCE, R.I. Printed in the United States of America

CALENDAR OF MEETINGS

Meet· ing No.

Place

Date

Deadline for Abstracts

510 December 27-29, 1954 (61st Annual Meeting)

Pittsburgh, Pa.

Nov. 13

511 February 26, 1955 April 15-16, 1955

New York, N.Y. Brooklyn, N. Y.

Jan. 13

Vancouver, B. C. June 18, 1955 August 30-September 3, 1955 Ann Arbor, Mich. (60th Summer Meeting) November 25-26, 1955 December 27-30, 1955 (62nd Annual Meeting)

Milwaukee, Wis. Houston, Texas

May 5 July 18

Nov. 14

To present a paper before a meeting of the Society, it is necessary to submit an abstract. The abstract should be addressed to the American Mathematical Society, 80 Waterman Street, Providence 6, Rhode Island. For inclusion in the program of a particular meeting, the abstract must be received in the Providence Office not later than the deadline for abstracts, as listed above. No individual may present more than one paper in person at any meeting of the Society. The number of papers which may be presented by title is not restricted. The presentation of a paper in person is limited to ten minutes. Anyone who is not a member of the Society must be introduced by a member in order to present a paper either in person or by title. Papers may not be presented if published in full prior to the Society meeting or if previously presented before any learned society except the National Academy of Sciences or the Royal Society of Canada.

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FIVE HUNDRED SEVENTH MEETING University, Alabama November 26-27, 1954 PROGRAM

The five hundred seventh meeting of the American Mathematical Society will be held at the University of Alabama, University, Alabama, on Friday and Saturday, November 26 and 27. By invitation of the Committee to Select Hour Speakers for the Southeastern Sectional Meetings, Professor Nathan Jacobson of Yale University will deliver an address entitled Divis ion rings. This address is scheduled at 8:00 P.M. on Friday in Room 213, Physics Building. Sessions for contributed papers will be held in Rooms 213 and 218, Physics Building, at 2:00P.M. on Friday and at 9:00A.M. on Saturday. The Physics Building is located on University Avenue at the southeast corner of the campus. Registration will begin at noon on November 26 in the lobby of the Physics Building. Members and guests are requested to report to the registration desk as soon as possible after arrival. The Committee on Arrangements will assist members attending the meeting in securing accommodations. Please write at once to Professor C. L. Seebeck, Jr., Department of Mathematics, University of Alabama, University, Alabama, giving pertinent information on accomodations desired. The University of Alabama is located on U.S. Highway 11 approximately 60 miles southwest of Birmingham and one mile east of downtown Tuscaloosa. Tuscaloosa is on U.S. Highway 11, 43, and 82. The city is served by Southern Airways, the Southern Railway, and by Greyhound and Trailway buses. Mail and telegrams for those attending the meeting should be addressed in care of the Department of Mathematics, University of Alabama, University, Alabama,

Committee on J. H. Hornback F. W. Kokomoor C. L. Seebeck,] r.

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Arrangements J. H. Roberts H. S. Thurston F. A. Lewis, Chairman

PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes)

FRIOAY, 2:00P.M. Session on Analysis, Room 213, Physics Building (1) Some applications of a theorem on uniform Cauchy points Professor C. W. McArthur 1 Alabama Polytechnic Institute (2) A basic set of homogeneous harmonic polynomials in k variables Professor E. P. Miles, Jr. and Professor Ernest Williams, Alabama Polytechnic Institute. (3) Solving linear difference equatiorts by means of the Dirichlet series transform Professor Tomlinson Fort, University of South Carolina (4) Conditions which preclude the existence of maximum, minimum and minimax solutions of an ordinary differential system Professor L. P. Burton, Alabama Polytechnic institute (5) A coefficient problem for some classes of univalent Laurent series Professor W. C. Royster, Alabama Polytechnic Institute (6) Taylor methods of summation Professor V. F. Cowling, University of Kentucky (7) Bilateral Laplace transformation of distributions Professor M. 0. Gonzalez, University Of Alabama (Introduced by Professor F. A. Lewis) (8) A basic set of homogeneous harmonic polynomials in k variables. II. Professor E. P. Miles, Jr. and Professor Ernest Williams, Alabama Polytechnic Institute (9) Concerning critical sets of type 0 ·Dr, E. J. Pellicciaro, Duke University Session. on Topology, Room 218, Physics Building (10) A note on unstable homeomorphisms Mr. R. F. Williams; University of Virginia (11) Structural ideals on compact spaces Professor A. D. Wallace 1 Tulane University (12) The local Betti numbers in topological product spaces Professor T. R. Brahana, University of Georgia 4

(13) Complements of maximal ideals in compact semigroups Professor W. M. Faucett, Tulane University and University of Kentucky, and Professor R. J. Koch, Louisiana State University (14) A maximal set in the lattice of topologies Professor R, W. Bagley, University of Kentucky (15) On differential forms in differentiable spaces Professor S. T. Hu, Tulane University (16) On ordered topological spaces. Preliminary report Mr. I, S. Krule, Tulane University (17) The imbedding in three-space of cells which are locally polyhedral except at boundary points Professor 0. G. Harrold, University of Tennessee, Dr. H. C. Griffith, University of Connecticut and Professor E. E. Posey, University of West Virginia (18) Separating sets in Euclidean spaces Dr. W. L. Gordon, Duke University FRIDAY, 8:00P.M. General session, Room 213, Physics Building Division rings (one hour) Professor Nathan Jacobson, Yale University SATURDAY, 9:00A.M. Session on Algebra and Theory of Numbers, Room 213, Physics Building (19) Norms of vectors and matrices Dr. A. S. Householder, Oak Ridge National Laboratory (20) Bounds for positive solutions of pairs of linear Diophantine equations Professor B. M. Seelbinder, University of Alabama (21) Certain real functions on Boolean algebras Professor Seymour Ginsburg, University of Miami and Pr. J. R. Isbell, Tulane University (22) Note on reflexive relations Professor D. 0. Ellh>, University of Florida (23) Ahnost singular systems of linear homogeneous equations. Pre• liminary report Professor R. A. WiUoughby, Georgia Institute of Technology (24) Almost regular form~> Professor P. B. Patterson, University of Florida

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(25) Limits for the characteristic roots of a matrix. VII Professor A. T. Brauer, University of North Carolina (26) The algebraic aspect of integration in space Professor C. C. Buck, University of Alabama (27) On the equivalence of ternary quadratic forms Professor E. H. Hadlock, University of Florida (28) A note on a theorem of Roth Professor W. V. Parker, Alabama Polytechnic Institute Session on Analysis, Geometry, and Applied Mathematics, Room 218, Physics Building (29) Imbedding homeomorphisms in flows Professor M. K. Fort, Jr., University of Georgia (30) The number of vertices of a polyhedron Dr. T. L. Saaty, Massachusetts Institute of Technology (31) Finite differences in laminated orthotropic plane strain Professor R. G. Blake, University of Florida (32) Irregular Borel measures on topological spaces Dr. George Swift, Duke University (Introduced by Professor J. H. Roberts) (33) A note on invariant affine connections Professor H. C. Wang, Alabama Polytechnic Institute (34) A note on the complete system of curves lA I cut out on F4 Professor J. C. Morelock, Alabama Polytechnic Institute (35) A classification of algebraic surfaces invariant under cyclic collineations Professor J. C. Morelock and Professor N.C. Perry, Alabama Polytechnic Institute (36) Differential systems with interface conditions. Preliminary report Mr. F. W. Stallard, University of North Carolina (Introduced by Professor W. M. Whyburn) (37) Curve fitting using differential equations Professor C. L. Seebeck, Jr., University of Alabama and Mr. H. Hoelzer, Redstone Arsenal (38) Multiply monotone complex sequences Mr. W. M. Zaring, University of Kentucky

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SUPPLEMENTARY PROGRAM (To be presented by title) (39) Representations by Hermitian forms in a finite field Professor L. Carlitz and Mr. J. H. Hodges, Duke University (40) Some arithmetic properties of elliptic functions Professor L. Carlitz, Duke University (41) On a theorem of Stickelberger Professor L. Carlitz, Duke University (42) Stresses in a catenoid membrane shell and the hyperbolic metric. Preliminary report Mr. Henry Gerhardt, University of Alabama (43) On a theorem of Sikorski Professor Seymour Ginsburg, University of Miami and Dr. J. R. Isbell, Tulane University (44) Continuous products in linear spaces Professor J. S. MacNerney, University of North Carolina (45) A note on convex metrics with unique segments. Preliminary report Professor R. L. Plunkett, Florida State University (46) Locally n-indecomposable and related concepts Professor P. M. Swingle, University of Miami (47) The local structure of clans Professor A. D. Wallace, Tulane University (48) The Green substructures of a compact connected mob Professor A. D. Wallace, Tulane University John H. Roberts Associate Secretary Durham, North Carolina October 16, 1954

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FIVE HUNDRED EIGHTH MEETING Iowa City, Iowa November 26-27, 1954

PROGRAM

The five hundred eighth meeting of the American Mathematical Society will be held in conjunction with a meeting of the Central Section of the Institute of Mathematical Statistics at the State University of Iowa, Iowa City, Iowa, on Friday and Saturday, November 26-27, 1954. The sessions will begin at 10:30 A.M. on Friday. The Committee to Select Hour Speakers for Western Sectional Meetings has invited Professor Vaclav Hlavaty of Indiana University to address the Society. The title of Professor Hlavaty's address is Unified field theory. He will speak in room 301 Physics Building at 10:30 A.M. on Friday, November 26. Sessions for the presentation of contributed papers will convene at 3:00P.M. on Friday and 10:00 A.M. on Saturday. The Saturday session is for late papers and a special program will be available at the registration desk. Sessions of the Institute of Mathematical Statistics will be held in Studio E of the Engineering Building, which is adjacent to the Physics Building. In addition to contributed papers there are to be sessions on Sampling surveys, Industrial statistics and Estimation of error in experiments. Of particular interest to members of the Society is an address by Professor R. P. Boas of Northwestern University entitled Results on functions analytic in the half plane and their applications. Professor Boas will speak at 2:00P.M. on Friday. The complete program of the I. M.S. meeting will be available at the registration desk. ENTERTAINMENT Members of the Society, their guests and friends are invited to a tea which will be held at the Iowa Memorial Union immediately after the sessions on Friday afternoon. A concert by the string quartet of the State University of Iowa music

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faculty will be presented at 8:00 P.M. on Friday in the Shambaugh room of the University Library. Members, guests, and friends of the Society are invited to attend. REGISTRATION, ROOMS, MEALS, TRAVEL The registration desk will be in the general office of the Department of Mathematics and Astronomy on the first floor of the Physics Building. Those who attend the meeting are requested to register at any time from 8:00 A.M. until 5:00 P.M. on Friday, or from 8:00 A.M. until noon on Saturday. Those who have room reservations at the Iowa Center for Continuation Study (see reservation form following) may claim them at the registration desk in the Physics Building as well as at the Center. Single, double, and triple rooms are available at the Iowa Center for Continuation Study at the rates of $3.50, $3.00, $2.50 per person per night respectively. Please use the attached form for reservations at the Center. Hotels in Iowa City are the Jefferson ($4.50-$5.00 single, $7.50-$8.00 double), the Burkley ($3.50 single, $5.50 double) and the Davis ($2.50-$3.50 single, $3.50-$5.50 double). Reservations should be made directly with the hotel and should mention the meeting of the Society. Motel accommodations are also available. The Pine Edge, Blue Top, Chase, and Alamo motels, and Frazier Cabins have rooms at prices $3.50-$6.00 single, and $5.00-$11.00 for two or more. These motels are all within three miles of the Physics Building. The cafeteria of the Iowa Memorial Union will be open to members of the Society and their guests for all meals on Friday and for breakfast and luncheon on Saturday. All trains of the Rock Island Railroad which run between Chicago and Denver make scheduled stops at Iowa City. There are east and west bound flights of United Air Lines which stop daily. There is no northsouth rail or plane service through the city. It is suggested that northsouth travelers stop at Cedar Rapids and take the Iowa City bus. Iowa City is on east-west highway U.S. 6, and on north-south highway U.S. 218. Both of these pass within a few blocks of the campus. Those who drive should inquire locally for directions after reaching the business district. MAIL AND TELEGRAMS Mail and telegrams for those attending the meeting should be sent in care of the Iowa Center for Continuation Study, State University of Iowa, Iowa City, Iowa.

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PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes)

FRIDAY, 10:30 A.M. General Session, Physics 301 Unified field theory (one hour) Professor Vaclav Hlavaty, Indiana University FRIDAY, 3:00P.M. General Session, Physics 301 (I) Analogies in the Borel, Lusin and Kleene hierarchies. I Mr. J. W. Addison, Jr., University of Michigan (2) Modules over rings of words Professor W. G. Leavitt, University of Nebraska (3) Remarks on derivations and differentiability Professor M. E. Shanks, Purdue University (4) Planar curves of equivalent breadth Professor P. C. Hammer, University of Wisconsin (5) A property of the product of division algebras Professor Bernard Vinograde, Iowa State College (6) A case history of the impotence of abstract algebra in Diophantine analysis Mr. H. W. Becker, Omaha, Nebraska SATURDAY, 10:00 A.M. General Session, Physics 301 (Special session for late papers. Programs are available at the registration desk.) SUPPLEMENTARY PROGRAM (To be presented by title) (7) Weighted factorial tables, an idea of Andre Mr. H. W. Becker, Omaha, Nebraska (8) A new Whitehead product for homotopy groups Professor A. L. Blakers, University of Western Australia (9) A note on rings of continuous functions with values in a division ring Miss Ellen Correl and Professor Melvin Henriksen, Purdue University

( 10) Inequalities for certain eigenvalues of a membrane. II Professor L. E. Payne, University of Maryland (11) An example where the covering homotopy theorem fails Professor M. E. Shanks, Purdue University

( 12) Approximations by families of functions Professor Leonard Tornheim, University of Michigan

J. W. T. Youngs Associate Secretary Bloomington, Indiana October 13, 1954

Reservation forms should be mailed as early as possible to William D. Coder Coordinator of Conferences Extension Division State University of Iowa Iowa City, Iowa

AMERICAN MATHEMATICAL SOCIETY Iowa City, Iowa November 26-27, 1954 Please reserve a single, double, triple room for ....................................................................... of .............................................. . ....................................................................... of ............................................. .. ....................................................................... of ............................................... . (Name) (Institution) at the Iowa Center. Will arrive (Day) ...................................... (Hour)

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FIVE HUNDRED NINTH MEETING Los Angeles, California November 27, 1954

PROGRAM

The five hundred ninth meeting of the American Mathematical Society will be held on Saturday, November 27, at the University of California, Los Angeles. Professor Edmund Pinney of the University of California, Berkeley, will deliver by invitation of the Committee to Select Hour Speakers for Far Western Sectional Meetings an address entitled Nonlinear differential equations at 2:00 P.M. in Room 2250, Chemistry Building. Sessions for contributed papers will be held at 10:00 A.M. in Room 2200 and 2250 Chemistry Building, and if the need develops, a session for late papers at 3:10P.M. in Room 2250. A luncheon has been arranged for 12:30 P.M. at Kerchoff hall on the campus, and there will be a tea after the meetings. The University of California, Los Angeles, is located near Wilshire Boulevard at Westwood Village approximately thirteen miles west of the center of the city. To reach it by bus from downtown, enquire at the bus terminal near Pershing Square. PROGRAM OF THE SESSIONS (Time limit for each contributed paper, 10 minutes)

SATURDAY, 10:00 A.M. Session on Analysis, Room 2250 Chemistry Building (1) A generalization of a theorem of Rellich Dr. ]. M. G. Fell, California Institute of Technology (2) On €-unitary operators Mr. Ching-Hwa Meng, University of Southern California (3) Perturbation of the continuous spectrum and unitary equivalence. Preliminary report Mr. Marvin Rosenblum, University of California, Berkeley (Introduced by Professor Frantisek Wolf) 12

(4) On scalar operators in Banach space. Preliminary report Professor Frantisek Wolf, University of California, Berkeley (5) On the spectra of linked operators. Preliminary report Mr. C. J. A. Halberg, Jr. and Professor A. E. Taylor, University of California, Los Angeles (6) Extended asymptotic eigenvalue distributions for plane domains with corners Professor F. H. Brownell, III, University of Washington (7) Instability considerations for various difference equations derived from the diffusion equation Dr. G. W. Evans, II, Dr. R. L. Brousseau, and Mr. Ralph Keierstead, Livermore Radiation Laboratory, University of California (8) Numerical approximation of multiple integrals Mr. R. E. Moore, Livermore Radiation Laboratory, University of California (Introduced by Dr. G. W. Evans, II) (9) A boundary value problem with a small parameter Mr. Marvin Shinbrot, National Advisory Committee for Aeronautics, Moffat Field, California Session on Algebra, Foundations, Topology, and Geometry, Room 2200 Chemistry Building (10) Three point arcwise convexity Professor F. A. Valentine, University of California, Los Angeles (11) Centers of curvatures of a vector field Professor T. K. Pan, University of Oklahoma (12) Bounds relating to Hilbert's nullstellensatz Dr. T. S. Motzkin, University of California, Los Angeles (13) Approach to Markoff's minimal forms through modular functions. II Professor Harvey Cohn, Stanford University and Wayne University (14) A finitistic axiomatization of subjective probability and utility Professors Donald Davidson and Patrick Suppes, Stanford University (15) A characterizatio n of unions of linearly independent sets Professor Alfred Horn, University of California, Los Angeles

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SATURDAY, 2:00P.M. General Session, Room 2250 Chemistry Building Nonlinear differential equations (one hour) Professor Edmund Pinney, University of California, Berkeley SATURDAY, 3:10P.M. Session for late papers, Room 2250 Chemistry Building SUPPLEMENTARY PROGRAM (To be presented by title) (16) Continua and certain types of homogeneity Professor C. E. Burgess, University of Utah

(17) Recurrent Markov processes. I. Preliminary report Dr. T. E. Harris, The Rand Corporation (18) Groups and herds. Preliminary report Professor Joachim Lambek, McGill University

(19) Primitive recursive functions. II Professor R. M. Robinson, University of California, Berkeley (20) Singular perturbations with a turning point. Preliminary report Mr. Marvin Shinbrot, National Advisory Committee for Aeronautics, Moffat Field, California (21) Extension of a theorem of Seidel to a class of meromorphic functions Mr. D. A. Storvik, University of Michigan

]. W. Green Associate Secretary Los Angeles, California October 18, 1954

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JOINT SESSION WITH THE AMERICAN ASSOCIATION FOR THE ADVANCEMENT OF SCIENCE The Executive Committee of the Council of the Society has approved a joint session of the Society and Section A of the American Association for the Advancement of Science to be held in conjunction with the annual meeting of the American Association at Berkeley, California, December

26-31, 1954. Abstracts of contributed papers to be presented at this session must reach the Society's office by the deadline, November 13, 1954. The program of this session will be printed in the issue of the Notices of the American Mathematical Society containing the program of the annual meeting, and the abstracts of papers presented will be published in the Bulletin.

CHANGES OF ADDRESS AND DIRECTORY INFORMATION Changes of address should be sent to the Society at least 30 days before the change is to become effective. Please indicate the date you will be at the new address. Since our journals are mailed directly by the printer, time is needed for making the changes, preparing a list, and mailing the list to the printer. In order to keep the Directory up-to-date at all times, complete information concerning your position should be included with your change of address.

A form for change of address and listing of position was included in the October issue of the Notices.

NATIONAL REGISTER OF SCIENTIFIC AND TECHNICAL PERSONNEL Questionaires for the Mathematical Sciences Section of the National Register of Scientific and Technical Personnel are now being coded. If you have not yet returned your questionnaire, we would apperciate receiving it as soon as possible. If you did not receive a questionnaire, please let us know. Questionnaires and inquiries should be addressed to NATIONAL REGISTER for the MATHEMATICAL SCIENCES, 80 Waterman Street, Providence 6, Rhode Island.

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INSTITUTE OF THE AERONAUTICAL SCIENCES CALENDAR OF COMING EVENTS 1954 December 17

Eighteenth Wright Brothers Lecture, U. S. Chamber of Commerce Building Auditorium, Washington, D. C., Bo Lundberg, Director, Aeronautical Research Institute of Sweden, Lecturer.

December 20

Eighteenth Wright Brothers Lecture (Repeated), Los Angeles.

December 22

Eighteenth Wright Brothers Lecture (Repeated), Cleveland.

1955 January 24-28

Twenty-Third Annual Meeting and Honors Night Dinner, Hotel Astor, New York City.

March 11

National Flight Propulsion Meeting (Restricted), Hotel Carter, Cleveland, Ohio.

June 21-24

Fifth International Aeronautical Conference, lAS Building, 7660 Beverly Boulevard, Los Angeles, California. Joint meeting of the Royal Aeronautical Society, of Great Britain, and the lAS.

MIDWESTERN CONFERENCES ON FLUID AND SOLID MECHANICS The Midwestern Conference on Fluid Mechanics and the Midwestern Conference on Solid Mechanics are to be held concurrently on September 8, 9, and 10, 1955, at Purdue University, Lafayette, Indiana. These conferences will be a continuation of the Midwestern Conference series and will he conducted and arranged in a manner similar to the conferences in the previous years. Inquiries should be addressed to Paul F. Chenea, Chairman of the Organizing Committee, Purdue University, Lafayette, Indiana.

THIRD U.S. NATIONAL CONGRESS OF APPLIED MECHANICS The Third U. S. National Congress of Applied Mechanics will be held at Brown University, Providence, Rhode Island, during June 11-14, 1958. It is hoped that the scheduling of conflicting meetings can be avoided by this early announcement of the date chosen for the Congress. Further announcements concerning the preparation of papers will be made as the Congress deaws nearer. Inquiries regarding the Congress should be addressed to Professor W. Prager, Chairman of the Organizing Committee, Brown University, Providence 12, R. I.

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NATIONAL ACADEMY OF SCIENCES NATIONAL RESEARCH COUNCIL DIVISION OF MATHEMATICS The Division of Mathematics wishes to add the following item to its previously announced list of research opportunities: National Research Council-Natio nal Bureau of Standards Postdoctoral Research Associateships in the Physical and Mathematical Sciences. Research associateships supported by the National Bureau of Standards and awarded on recommendation of the National Academy of Sciences- National Research Council are offered to provide young investigators of unusual promise and ability the opportunity for basic research in various branches of the physical and mathematical sciences. These associateships are open only to citizens of the United States and are tenable at the National Bureau of Standards in Washington, D. C. Applicants must have the Ph. D. or Sc. D. degree, or their equivalent. The term of the appointment is for one calendar year. The National Bureau of Standards agrees to provide the necessary facilities and equipment incident to the research of the associate, No specific services are required, and it is expected that the associate will devote essentially his full time to research in his field of interest. No commitment either on the part of the associate or the sponsor with regard to later employment is implied by the acceptance of an award. A candidate must present evidence that he will be accepted as an associate by the scientific adviser with whom he will study. It is expected that approximately 10 awards may be made in a total of fourteen fields, of which the following are of particular interest to mathematicians : Pure and Applied Mathematics; Applied Mathematical Statistics; Numerical Analysis; Statistical Mechanics. For further information write to Fellowship Office, National Research Council, 2101 Constitution Avenue, Washington 25, D. C. A. A. Albert Chairman of the Division

J. A. Clarkson Executive Secretary of the Division Note: These associateships will be Civil Service appointments, and applicants will be expected to conform with Civil Service appointment requirements as to citizenship, health, and security,

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NOTES Professor R. A. Beaumont of the University of Washington has been awarded a Ford Fellowship and will be at the Institute for Advanced Study in 1954-55. Professor R. A. Beth of Western Reserve University has received a Fulbright Grant to the University of Innsbruck for 1954-55. Associate Professor D. G. Chapman of the University of Washington has been awarded a Guggenheim Fellowship to Oxford University. Assistant Professor R. V. Kadison of Columbia University has received a Fulbright Research Grant and will be on leave of absence at the Matematisk Institute, Copenhagen, Denmark. Dr. W. A. Shewhart of the Bell Telephone Laboratories, Murray Hill, New Jersey, has been awarded an honorary professorship in Statistical Quality Control by Rutgers University. Professor M. F. Smiley of the State University of Iowa is on leave of absence to accept a Faculty Fellowship by the Fund for the Advancement of Education. Dr. Joseph Gillis of the Weizmann Institute is on leave of absence and has been appointed a member of the Institute for Advanced Study. Dr. J. W. Armstrong Jr. of the Consolidated Vultee Aircraft, Ft. Worth, Texas, has accepted a position as operations analyst with the Air Defense Command, Colorado Springs, Colorado. Dr. A. V. Balakrishnan has accepted a position as senior engineer with the Radio Corporation of America, Camden, New Jersey. Mr. H. H. Barnett of the Florida State University has accepted a position as mathematician with the Glenn L. Martin Company, Baltimore, Maryland. Mr. D. C. Barton of the University of Rochester has accepted a position as mathematician with the Eastman Kodak Company, Rochester, New York. Assistant Professor W. W. Boone of the Catholic University of America is on leave of absence at the Institute for Advanced Study. Dr. S. G. Bourne of Temple University has been appointed to an assistant professorship at the University of California, Berkeley. Assistant Professor L. P. Burton of the University of California, Davis, has been appointed to an assistant professorship at the Alabama Polytechnic Institute. Assistant Professor D. G. Duncan of the University of Arizona has been appointed to an assistant professorship at the San Jose State College. Dr. H. A. Dye of the Institute for Advanced Study has been appointed 18

to an assistant professorship at the State University of Iowa. Dr. R. A. Eubanks of the Illinois Institute of Technology has accepted a position as senior engineer with the Bulova Research and Development Laboratories, Flushing; New York. Professor G. M. Ewing of the University of Missouri is on leave of absence and has accepted a position as a member of the technical staff of the Ramo-Wooldridge Corporation, Los Angeles, California. Dr. R. S. Finn of the University of Maryland has been appointed to an assistant professorship at the University of Southern California. Dr. H. H. Goode, director of the Willow Run Research Center, University of Michigan, has been appointed to a professorship in the Electrical Engineering Department of the University of Michigan. Dr. J. W. Hollingsworth of the University of Wisconsin has accepted a position as engineer with the General Electric Company, Schenectady, New York. Assistant Professor J. A. Jenkins of the Johns Hopkins University has been appointed to an associate professorship at the University of Notre Dame. Mr. R. B. Johnson of the George Peabody College for Teachers has been appointed to an assistant professorship at the Clemson Agricultural College. Dr. Hyman Kamel of Cornell University has been appointed to an assitant professorship at the Rensselaer Polytechnic Institute. Mr. P. G. Kirmser of the University of Minnesota has been appointed to an associate professorship at the Kansas State College of Agriculture and Applied Science. Dr. H. P. Kramer of the University of California, Berkeley, has accepted a position with the Bell Telephone Laboratories, Inc., Murray Hill, New Jersey. Associate Professor W. S. Massey of Brown University is on leave and has been appointed to a visiting associate professorship at Princeton University. Associate Professor H. F. Mathis of the University of Oklahoma is on leave and has accepted a position as research engineer with the Goodyear Aircraft Corporation, Akron, Ohio. Mr. R. M. Meisel of New York University has accepted a position as applied mathematical aerodynamicist with the Republic Aviation Corporation, Farmingdale, New York. Dr. R. H. Oehmke of the Illinois Institute of Technology has been appointed to an assistant professorship at Butler University. Dr. L. G. Peck of the Institute of Mathematical Sciences, New York

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University, has joined the staff of Arthur D. Little, Inc., Cambridge, Massachuse tts, where he will be in charge of the Computing Laboratory. Miss Mary Pettus of Sue Bennett College has been appointed to an assistant professorshi p at Union College, Barbourville , Kentucky. Dr. R. E. Priest of the University of Illinois has accepted a position as a member of the technical staff with the Bell Telephone Laboratories, New York, New York. Dr. J. D. Riley of the Naval Ordnance Laboratory, Silver Spring, Maryland, has been appointed to an assistant professorshi p at the University of Kentucky. Dr. Saul Rosen of the Burroughs Adding Machine Company has been appointed to an associate professorshi p at Wayne University. Mr. Charles Salkind has been appointed to an assistant professorship at the Polytechnic Institute of Brooklyn. Dr. Leo Sario of Harvard University has been appointed to an associate professorshi p at the University of California, Los Angeles. Mr. E. L. Schlain has accepted a position as engineer with the Radio Corporation of America, Camden, New Jersey. Dr. R. J. Silverman of the Armour Research Foundation has been appointed to an assistant professorshi p at the Illinois Institute of Technology. Professor Ernst Snapper of the University of Southern California is on leave of absence and has been appointed to a visiting professorshi p at Princeton University. Dr. C. J. Standish of Cornell University has been appointed to an assistant professorshi p at Union College. Dr. E. J. Stewart of the Bendix Aviation Corporation has been appointed to an assistant professorshi p at the California State Polytechnic College, Assistant Professor R. G. Stoneham of the San Diego State College has accepted a position as mathematici an with the Radiation Laboratory of the University of California, Berkeley, California. The following promotions are announced: Roscoe Woods, State University of Iowa, to a professorshi p. M. M. Andrew, Office of Scientific Research, U.S. A. F., Baltimore, Maryland, to acting chief of the Mathematica l Division. N. H. Ball, U. S. Naval Academy, to a professorshi p, W. R. Baum, Syracuse University, to an associate professorshi p. D. L. Benedict, Stanford Research Institute. to director of physical science research. Harold Chatland, Montana State University, to Dean of the College

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of Arts and Sciences. M. P. Gaffney, Jr., Northwestern University, to an assistant professorship. Peter Henrici, American Universiry, to an assistant professorship. Edwin Hewitt, University of Washington, to a professorship. Alfred Horn, University of California, Los Angeles, to an associate professorship. D. H. Hyers, Universiry of Southern California, to a professorship. V. L. Klee, Jr., University of Washington, to an associate professorship. L. C. Knight, Jr., Muskingum College, to an associate professorship. L. A. Kokoris, University of Washington, to an assistant professorship. M. E. Munroe, Universiry of Illinois, to an associate professorship. S. G. Roth, New York Universiry, to assistant director of the Office of the Budget. L. L. Scott, University of Mississippi, to an associate professorship. H. E. Taylor, Florida State University, to an associate professorship. The following appointments to instructorships are announced: University of British Columbia: Dr. R. R. Christian; City College, New York, New York: Dr. H. J. Cohen; Cornell Universiry: Dr. Evelyn M. Bender; Duke University: Dr. T. M. Gallie, Jr.; Harvard University: Dr. B. M. Dwork; Lehigh University: Dr. Ti Yen; Marquette University: Mr. E. W. Swokowski; University of Michigan: Mr. J. W. Addison, Jr.; Universiry of Nebraska: Dr. F. W. Anderson; Northwestern University: Dr. W. A. Michael; Ohio State University: Dr. L. F. Myers; Pennsylvania State University: Mr. L. C. Butler; Polytechnic Institute of Brooklyn: Mr. A. J. Goldstein; Princeton University: Dr. Donald C. Benson, Dr. R. K. Getoor; Purdue University: Mr. W. R. Fuller; Smith College: Dr. Jacqueline P. Evans; University of Washington: Miss Thelma M. Chaney, Dr. R. L. Vaught; Wayne University: Mr. C. F. Briggs; Worcester Polytechnic Institute: Dr. R. H. Niemann; Miss Mary E. Decherd, formerly of the University of Texas, died in February, 1954 at the age of eighty years. She had been a member of the Society for forty-nine years. Professor Emeritus E. W. Pehrson of the University of Utah died on October 11, 1953, at the age of seventy-two years. He had been a member of the Society for thirty-three years. Dr. R. W. Schmied of the Military Physics Research Laboratory of the University of Texas died in January 1954 at the age of thirty-four years.

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NEW PUBLICA TJONS Andrade, E. N. da C. Sir Isaac Newton. London, Collins, 1954. 140 pp., 1 plate. $1.05. Baumgartner, L. Geometrie im Raum von vier Dimensionen. Munich, Oldenbourg, 1954. 3 + 112 pp. 6.20 DM. Boas, R. P. Jr. Entire functions. New York, Academic Press, 1954. 12 + 276 pp. $6.00. Carnap, R. Einfiihrung in die symbolische Logik mit besonderer Beriicksichtigung ihrer Anwendungen. Vienna, Springer, 1954. 10+209 pp. $6.40. Coombs, C. H. See Decision processes. Davis, R. L. See Decision processes. Decision processes. Ed. by R. M. Thrall, C. H. Coombs, and R. L. Davis. New York, Wiley, 1954. 8+332 pp. $5.00. Fox, L. A short table for Bessel functions of integer orders and large arguments. (Royal Society Shorter Mathematical Tables, no. 3.) New York, Cambridge University Press, 1954. 28 pp. $1.25. Griffin, H. Elementary theory of numbers. New York, McGraw-Hill, 1954. 9+203 pp. $5.00. Hund, F. Materie als Feld. Eine Einfiihrung. Berlin, Springer, 1954. 8+ 418 pp. 48.00 DM.; bound, 52.00 DM. Melan, E., and Parkus, H. Wiirmespannungen infolge stationiirer Temperaturfelder. Vienna, Springer, 1953. 5 + 114 pp. $4.40. Memoires sur la mecanique des fluides offerts a M. Dimitri P. Riabouchinsky. Paris, Publ. Sci. Tech. Ministere de l'Air, 1954. 443 pp. 3000 fr. Miller, J. C. P. See Table of binomial coefficients. Parkus, H. See Melan, E. Pincherle, S. Opere Scelte. Vol. I. Ed. by the Unione Matematica !taliana. Rome, Cremonese, 1954. 2 + 397 pp., 1 plate. 3500 Lire. Selected papers on noise and stochastic processes. New York, Dover, 1954. 337 pp. Cloth, $3.50; paper, $2.00. Snow, C. Formulas for computing capacitance and inductance. (National Bureau of Standards Circular 544.) Washington, Government Printing Office, 1954. 69 pp., 37 figs. $.40. Sowjetische Arbeiten zur Funktionalanalysis. Berlin, Verlag Kultur und Fortschritt, 1954. 274 pp. Table of binomial coefficients. Ed. by J. C. P. Miller. New York, Cambridge University Press, 1954. 8+ 162 pp. $5.50. Tables of Whittaker functions. (Numerical Computation Bureau, Tokyo, Rep. No. 8) Tokyo, Tsuneta Yano Memorial Society, 1954. 39 pp. $1.00. 22

Teodorescu, N. Metode vectoriale in fizica matemitica. II. Analiza vectoriala ifi introducere in analiza tensoriala. Bucarest, Editura Tehnidi, 1954. 299 pp. 9.67 Lei. Thompson, A. J. Logarithmetica Britannica, being a standard table of

logarithms to twenty decimal places of the numbers 10,000 to 100,000. Vol. I. Numbers 10,000 to 50,000, together with General Introduction. 98+ 523 pp. Vol. II. Numbers 50,000 to 100,000. 5+ 532 pp., 1 plate. Cambridge University Press, 1952 [published 1954]. $28.50. Thrall, R. M. See Decision processes. Timoshenko, S. P. The collected papers of Stephen P. Timoshenko. New York, McGraw-Hill, 1953. 25+642 pp., 1 plate. $12.20. Tricomi, F. G. Lezioni sulle equazione a derivate parziali. Corso di analisi superiore anno accademico 1953-54. Editrice Gheroni Torino, 1954. 4+484 pp. Valiron, G. F onctions analytiques. Paris, Presses Universitaires de France, 1954. 236 pp. 1500 fr. Wagner, K. W. Elektromagnetische Wellen. Eine Einfiihrung in die Theorie als Grundlage fur ihre anwendung in der elektrischen Ubertragungstechnik. Basel, Birkhauser, 1953. 267 pp. 33.30 DM. Worobjow, N. N. Die Fibonaccischen Zahlen. Berlin, Deutscher Verlag der Wissenschaften, 1954. 47 pp.

Elie CARTAH COLLECTED MATHEMATICAL PAPERS Parts I and II appeared in 1952 and 1953. The third and last Part (Differential Geometry) will consist of two volumes, which together will have about 1900 pages. They can be or· dered now at the pre-publication price: 6.800 francs for the set of two unbound volumes; 7.600 francs for the set of two bound volumes. After December 31, 1954, the price will be higher. Elie Cartan's mathematical work is being published under the sponsorship of the French National Committee of Mathematics, and of an International Committee of Honor. The publication is carried on with the help of the Centre National de la Recherche Scientifique. The volumes should be ordered from Gauthier-Villars, Bookseller,

55 quai des Gds. Augustins, Paris 6, France. 23