Eric Temple Bell Papers
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Interview of Albert Tucker
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange About Harlan D. Mills Science Alliance 9-1975 Interview of Albert Tucker Terry Speed Evar Nering Follow this and additional works at: https://trace.tennessee.edu/utk_harlanabout Part of the Mathematics Commons Recommended Citation Speed, Terry and Nering, Evar, "Interview of Albert Tucker" (1975). About Harlan D. Mills. https://trace.tennessee.edu/utk_harlanabout/13 This Report is brought to you for free and open access by the Science Alliance at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in About Harlan D. Mills by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. The Princeton Mathematics Community in the 1930s (PMC39)The Princeton Mathematics Community in the 1930s Transcript Number 39 (PMC39) © The Trustees of Princeton University, 1985 ALBERT TUCKER CAREER, PART 2 This is a continuation of the account of the career of Albert Tucker that was begun in the interview conducted by Terry Speed in September 1975. This recording was made in March 1977 by Evar Nering at his apartment in Scottsdale, Arizona. Tucker: I have recently received the tapes that Speed made and find that these tapes carried my history up to approximately 1938. So the plan is to continue the history. In the late '30s I was working in combinatorial topology with not a great deal of results to show. I guess I was really more interested in my teaching. I had an opportunity to teach an undergraduate course in topology, combinatorial topology that is, classification of 2-dimensional surfaces and that sort of thing. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
E. T. Bell and Mathematics at Caltech Between the Wars Judith R
E. T. Bell and Mathematics at Caltech between the Wars Judith R. Goodstein and Donald Babbitt E. T. (Eric Temple) Bell, num- who was in the act of transforming what had been ber theorist, science fiction a modest technical school into one of the coun- novelist (as John Taine), and try’s foremost scientific institutes. It had started a man of strong opinions out in 1891 as Throop University (later, Throop about many things, joined Polytechnic Institute), named for its founder, phi- the faculty of the California lanthropist Amos G. Throop. At the end of World Institute of Technology in War I, Throop underwent a radical transformation, the fall of 1926 as a pro- and by 1921 it had a new name, a handsome en- fessor of mathematics. At dowment, and, under Millikan, a new educational forty-three, “he [had] be- philosophy [Goo 91]. come a very hot commodity Catalog descriptions of Caltech’s program of in mathematics” [Rei 01], advanced study and research in pure mathematics having spent fourteen years in the 1920s were intended to interest “students on the faculty of the Univer- specializing in mathematics…to devote some sity of Washington, along of their attention to the modern applications of with prestigious teaching mathematics” and promised “to provide defi- stints at Harvard and the nitely for such a liaison between pure and applied All photos courtesy of the Archives, California Institute of Technology. of Institute California Archives, the of courtesy photos All University of Chicago. Two Eric Temple Bell (1883–1960), ca. mathematics by the addition of instructors whose years before his arrival in 1951. -
FOCUS 8 3.Pdf
Volume 8, Number 3 THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA May-June 1988 More Voters and More Votes for MAA Mathematics and the Public Officers Under Approval Voting Leonard Gilman Over 4000 MAA mebers participated in the 1987 Association-wide election, up from about 3000 voters in the elections two years ago. Is it possible to enhance the public's appreciation of mathematics and Lida K. Barrett, was elected President Elect and Alan C. Tucker was mathematicians? Science writers are helping us by turning out some voted in as First Vice-President; Warren Page was elected Second first-rate news stories; but what about mathematics that is not in the Vice-President. Lida Barrett will become President, succeeding Leon news? Can we get across an idea here, a fact there, and a tiny notion ard Gillman, at the end of the MAA annual meeting in January of 1989. of what mathematics is about and what it is for? Is it reasonable even See the article below for an analysis of the working of approval voting to try? Yes. Herewith are some thoughts on how to proceed. in this election. LOUSY SALESPEOPLE Let us all become ambassadors of helpful information and good will. The effort will be unglamorous (but MAA Elections Produce inexpensive) and results will come slowly. So far, we are lousy salespeople. Most of us teach and think we are pretty good at it. But Decisive Winners when confronted by nonmathematicians, we abandon our profession and become aloof. We brush off questions, rejecting the opportunity Steven J. -
Fine Books in All Fields
Sale 480 Thursday, May 24, 2012 11:00 AM Fine Literature – Fine Books in All Fields Auction Preview Tuesday May 22, 9:00 am to 5:00 pm Wednesday, May 23, 9:00 am to 5:00 pm Thursday, May 24, 9:00 am to 11:00 am Other showings by appointment 133 Kearny Street 4th Floor:San Francisco, CA 94108 phone: 415.989.2665 toll free: 1.866.999.7224 fax: 415.989.1664 [email protected]:www.pbagalleries.com REAL-TIME BIDDING AVAILABLE PBA Galleries features Real-Time Bidding for its live auctions. This feature allows Internet Users to bid on items instantaneously, as though they were in the room with the auctioneer. If it is an auction day, you may view the Real-Time Bidder at http://www.pbagalleries.com/realtimebidder/ . Instructions for its use can be found by following the link at the top of the Real-Time Bidder page. Please note: you will need to be logged in and have a credit card registered with PBA Galleries to access the Real-Time Bidder area. In addition, we continue to provide provisions for Absentee Bidding by email, fax, regular mail, and telephone prior to the auction, as well as live phone bidding during the auction. Please contact PBA Galleries for more information. IMAGES AT WWW.PBAGALLERIES.COM All the items in this catalogue are pictured in the online version of the catalogue at www.pbagalleries. com. Go to Live Auctions, click Browse Catalogues, then click on the link to the Sale. CONSIGN TO PBA GALLERIES PBA is always happy to discuss consignments of books, maps, photographs, graphics, autographs and related material. -
Prizes and Awards
DENVER • JAN 15–18, 2020 January 2020 Prizes and Awards 4:25 PM, Thursday, January 16, 2020 PROGRAM OPENING REMARKS Michael Dorff, Mathematical Association of America AWARD FOR DISTINGUISHED PUBLIC SERVICE American Mathematical Society BÔCHER MEMORIAL PRIZE American Mathematical Society CHEVALLEY PRIZE IN LIE THEORY American Mathematical Society FRANK NELSON COLE PRIZE IN NUMBER THEORY American Mathematical Society LEONARD EISENBUD PRIZE FOR MATHEMATICS AND PHYSICS American Mathematical Society LEVI L. CONANT PRIZE American Mathematical Society JOSEPH L. DOOB PRIZE American Mathematical Society LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION American Mathematical Society LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH American Mathematical Society LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTION TO MATHEMATICS EDUCATION Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE WOMEN IN MATHEMATICS Association for Women in Mathematics MICROSOFT RESEARCH PRIZE IN ALGEBRA AND NUMBER THEORY Association for Women in Mathematics SADOSKY RESEARCH PRIZE IN ANALYSIS Association for Women in Mathematics FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY AN UNDERGRADUATE STUDENT American Mathematical Society Mathematical Association of America Society for Industrial and Applied Mathematics COMMUNICATIONS AWARD Joint Policy Board for Mathematics CHAUVENET PRIZE Mathematical Association of America DAVID P. R OBBINS PRIZE Mathematical Association of America EULER BOOK PRIZE Mathematical Association of America DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF MATHEMATICS Mathematical Association of America YUEH-GIN GUNG AND DR.CHARLES Y. HU AWARD FOR DISTINGUISHED SERVICE TO MATHEMATICS Mathematical Association of America CLOSING REMARKS Jill C. -
Notices of the American Mathematical
ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Mathematics Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and professors, these texts make ideal independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch NEW Graduate Studies Graduate Studies in Mathematics in Mathematics Volume 109 Manifolds and Differential Geometry Volume 112 ocietty American Mathematical Society Jeffrey M. Lee, Texas Tech University, Lubbock, American Mathematical Society TX Volume 107; 2009; 671 pages; Hardcover; ISBN: 978-0-8218- 4815-9; List US$89; AMS members US$71; Order code GSM/107 Differential Algebraic Topology From Stratifolds to Exotic Spheres Mapping Degree Theory Matthias Kreck, Hausdorff Research Institute for Enrique Outerelo and Jesús M. Ruiz, Mathematics, Bonn, Germany Universidad Complutense de Madrid, Spain Volume 110; 2010; approximately 215 pages; Hardcover; A co-publication of the AMS and Real Sociedad Matemática ISBN: 978-0-8218-4898-2; List US$55; AMS members US$44; Española (RSME). Order code GSM/110 Volume 108; 2009; 244 pages; Hardcover; ISBN: 978-0-8218- 4915-6; List US$62; AMS members US$50; Ricci Flow and the Sphere Theorem The Art of Order code GSM/108 Simon Brendle, Stanford University, CA Mathematics Volume 111; 2010; 176 pages; Hardcover; ISBN: 978-0-8218- page 8 Training Manual on Transport 4938-5; List US$47; AMS members US$38; and Fluids Order code GSM/111 John C. -
Contents What These Numbers Count Triangle Scheme for Calculations
From Wikipedia, the free encyclopedia In combinatorial mathematics, the Bell numbers count the number of partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan, but they are named after Eric Temple Bell, who wrote about them in the 1930s. Starting with B0 = B1 = 1, the first few Bell numbers are: 1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958545, 10480142147, 82864869804, 682076806159, 5832742205057, ... (sequence A000110 in the OEIS). The nth of these numbers, Bn, counts the number of different ways to partition a set that has exactly n elements, or equivalently, the number of equivalence relations on it. Outside of mathematics, the same number also counts the number of different rhyme schemes for n-line poems.[1] As well as appearing in counting problems, these numbers have a different interpretation, as moments of probability distributions. In particular, Bn is the nth moment of a Poisson distribution with mean 1. Contents 1 What these numbers count 1.1 Set partitions 1.2 Factorizations 1.3 Rhyme schemes 1.4 Permutations 2 Triangle scheme for calculations 3 Properties 3.1 Summation formulas 3.2 Generating function 3.3 Moments of probability distributions 3.4 Modular arithmetic 3.5 Integral representation 3.6 Log-concavity 3.7 Growth rate 4 Bell primes 5History 6 See also 7Notes 8 References 9 External links What these numbers count Set partitions In general, Bn is the number of partitions of a set of size n. -
Mathematical Family Tree of Roger and Sylvia Wiegand Desiderius Erasmus Collège De Montaigu / University of Turin
Mathematical Family Tree of Roger and Sylvia Wiegand Desiderius Erasmus Collège de Montaigu / University of Turin Jakob Milich Albert-Ludwigs-Universität Freiburg im Breisgau / Universität Wien (1520) Bonifazius Erasmi Erasmus Reinhold Martin-Luther-Universität Halle-Wittenberg (1509) Martin-Luther-Universität Halle-Wittenberg (1535) Johannes Volmar Nicolaus (Mikołaj Kopernik) Copernicus Valentine Naibod Martin-Luther-Universität Halle-Wittenberg (1515) (1499) Martin-Luther-Universität Halle-Wittenberg / Universität Erfurt Georg Joachim von Leuchen Rheticus Rudolph (Snel van Royen) Snellius Ludolph van Ceulen Martin-Luther-Universität Halle-Wittenberg (1535) Universität zu Köln / Ruprecht-Karls-Universität Heidelberg (1572) Moritz Valentin Steinmetz Willebrord (Snel van Royen) Snellius Universität Leipzig (1550) Universiteit Leiden (1607) Christoph Meurer Jacobus Golius Marin Mersenne Universität Leipzig (1582) Universiteit Leiden (1612) Université Paris IV-Sorbonne (1611) Philipp Müller Frans van Schooten, Jr. Jan Jansz Stampioen, Jr. Universität Leipzig (1604) Universiteit Leiden (1635) Erhard Weigel Christiaan Huygens Petrus Ryff Universität Leipzig (1650) Universiteit Leiden / Université d'Angers (1647) Universität Basel (1584) Gottfried Wilhelm Leibniz Emmanuel Stupanus Académie royale des sciences de Paris (1676) Universität Basel (1613) Nicolas Malebranche Johann Caspar Bauhin Otto Mencke (1672) Universität Basel (1649) Universität Leipzig (1665) Jacob Bernoulli Nikolaus Eglinger Johann Christoph Wichmannshausen Johann Andreas -
Eric Temple Bell Papers
http://oac.cdlib.org/findaid/ark:/13030/kt2f59q8k5 No online items Finding Aid for the Eric Temple Bell Papers 1919-1955 Processed by Caltech Archives Staff. Caltech Archives Archives California Institute of Technology 1200 East California Blvd. Mail Code 015A-74 Pasadena, CA 91125 Phone: (626) 395-2704 Fax: (626) 793-8756 Email: [email protected] URL: http://archives.caltech.edu/ ©2007 California Institute of Technology. All rights reserved. Finding Aid for the Eric Temple 10006-MS 1 Bell Papers 1919-1955 Descriptive Summary Title: Eric Temple Bell Papers, Date (inclusive): 1919-1955 Collection number: 10006-MS Creator: Bell, Eric Temple 1883-1960 Extent: 4 linear feet Repository: California Institute of Technology. Caltech Archives Pasadena, California 91125 Abstract: Eric Temple Bell was professor mathematics at Caltech from 1926 to 1953. He was a specialist in the theory of numbers. He also distinguished himself as a writer of science fiction under the name of John Taine, and also as the author of non-fiction and poetry. His papers include literary and scientific manuscripts; correspondence, largely with publishers; and some reprints of his own scientific publications. Physical location: Archives, California Institute of Technology. Language of Material: Languages represented in the collection: English Access The collection is open for research. Researchers must apply in writing for access. Publication Rights Copyright may not have been assigned to the California Institute of Technology Archives. All requests for permission to publish or quote from manuscripts must be submitted in writing to the Caltech Archivist. Permission for publication is given on behalf of the California Institute of Technology Archives as the owner of the physical items and, unless explicitly stated otherwise, is not intended to include or imply permission of the copyright holder, which must also be obtained by the reader. -
William Osgood
NATIONAL ACADEMY OF SCIENCES WILLIAM FOGG OSGOOD 1864–1943 A Biographical Memoir by JOSEPH L. WALSH Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoirs, VOLUME 81 PUBLISHED 2002 BY THE NATIONAL ACADEMY PRESS WASHINGTON, D.C. Photo courtesy of the American Mathematical Society. WILLIAM FOGG OSGOOD March 10, 1864–July 22, 1943 BY JOSEPH L. WALSH ILLIAM FOGG OSGOOD WAS born in Boston, Massachusetts, W the son of William and Mary Rogers (Gannett) Osgood. He prepared for college at the Boston Latin School, en- tered Harvard in 1882, and was graduated with the A.B. degree in 1886, second in his class of 286 members. He remained at Harvard for one year of graduate work in math- ematics, received the degree of A.M. in 1887, and then went to Germany to continue his mathematical studies. Dur- ing Osgood’s study at Harvard, the great Benjamin Peirce (1809-1880), who had towered like a giant over the entire United States, was no longer there. James Mills Peirce (1834- 1906), son of Benjamin, was in the Mathematics Depart- ment, and served also later (1890-1895) as Dean of the Graduate School and (1895-1898) as Dean of the Faculty of Arts and Sciences. William Elwood Byerly was also a mem- ber of the Department (1876-1913) and is remembered for his excellent teaching and his texts on the Calculus and on Fourier’s Series and Spherical Harmonics. Benjamin Osgood Peirce (1854-1914) was a mathematical physicist, noted for Reprinted with permission. -
Bell Polynomials in Combinatorial Hopf Algebras
Word Bell Polynomials Ammar Aboud,∗ Jean-Paul Bultel,† Ali Chouria‡ Jean-Gabriel Luque§and Olivier Mallet¶ January 25, 2016 Keywords: Bell polynomials, Symmetric functions, Hopf algebras, Faà di Bruno algebra, Lagrange inversion, Word symmetric functions, Set partitions. Abstract Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæ on Bell polynomials involve combinatorial objects (set partitions, set partitions into lists, permutations etc). So it seems natural to investigate analogous formulæ in some combinatorial Hopf algebras with bases indexed by these objects. In this paper we investigate the connexions between Bell polynomials and several combinatorial Hopf algebras: the Hopf algebra of symmetric functions, the Faà di Bruno algebra, the Hopf algebra of word symmetric functions etc. We show that Bell polynomials can be defined in all these algebras and we give analogues of classical results. To this aim, we construct and study a family of combinatorial Hopf algebras whose bases are indexed by colored set partitions. 1 Introduction Partial multivariate Bell polynomials (Bell polynomials for short) have been defined by E.T. Bell in [1] in 1934. But their name is due to Riordan [29] which studied the Faà di Bruno formula [11, 12] allowing one to write the nth derivative of a composition f ◦g in terms of the derivatives of f and g [28]. The applications of Bell polynomials in Combinatorics, Analysis, Algebra, Probabilities etc. are so numerous that it should be very long to detail them in the paper. Let us give only a few seminal examples.