Eric T. Bell 1883–1960
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Biography Paper – Georg Cantor
Mike Garkie Math 4010 – History of Math UCD Denver 4/1/08 Biography Paper – Georg Cantor Few mathematicians are house-hold names; perhaps only Newton and Euclid would qualify. But there is a second tier of mathematicians, those whose names might not be familiar, but whose discoveries are part of everyday math. Examples here are Napier with logarithms, Cauchy with limits and Georg Cantor (1845 – 1918) with sets. In fact, those who superficially familier with Georg Cantor probably have two impressions of the man: First, as a consequence of thinking about sets, Cantor developed a theory of the actual infinite. And second, that Cantor was a troubled genius, crippled by Freudian conflict and mental illness. The first impression is fundamentally true. Cantor almost single-handedly overturned the Aristotle’s concept of the potential infinite by developing the concept of transfinite numbers. And, even though Bolzano and Frege made significant contributions, “Set theory … is the creation of one person, Georg Cantor.” [4] The second impression is mostly false. Cantor certainly did suffer from mental illness later in his life, but the other emotional baggage assigned to him is mostly due his early biographers, particularly the infamous E.T. Bell in Men Of Mathematics [7]. In the racially charged atmosphere of 1930’s Europe, the sensational story mathematician who turned the idea of infinity on its head and went crazy in the process, probably make for good reading. The drama of the controversy over Cantor’s ideas only added spice. 1 Fortunately, modern scholars have corrected the errors and biases in older biographies. -
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. -
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. -
Using Character Varieties: Presentations, Invariants, Divisibility and Determinants
University of New Hampshire University of New Hampshire Scholars' Repository Doctoral Dissertations Student Scholarship Winter 1999 Using character varieties: Presentations, invariants, divisibility and determinants Jeffrey Allan Hall University of New Hampshire, Durham Follow this and additional works at: https://scholars.unh.edu/dissertation Recommended Citation Hall, Jeffrey Allan, "Using character varieties: Presentations, invariants, divisibility and determinants" (1999). Doctoral Dissertations. 2105. https://scholars.unh.edu/dissertation/2105 This Dissertation is brought to you for free and open access by the Student Scholarship at University of New Hampshire Scholars' Repository. It has been accepted for inclusion in Doctoral Dissertations by an authorized administrator of University of New Hampshire Scholars' Repository. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, diarts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. -
The Scientific Life and Influence of Clifford Ambrose Truesdell
Arch. Rational Mech. Anal. 161 (2002) 1–26 Digital Object Identifier (DOI) 10.1007/s002050100178 The Scientific Life and Influence of Clifford Ambrose Truesdell III J. M. Ball & R. D. James Editors 1. Introduction Clifford Truesdell was an extraordinary figure of 20th century science. Through his own contributions and an unparalleled ability to absorb and organize the work of previous generations, he became pre-eminent in the development of continuum mechanics in the decades following the Second World War. A prolific and scholarly writer, whose lucid and pungent style attracted many talented young people to the field, he forcefully articulated a view of the importance and philosophy of ‘rational mechanics’ that became identified with his name. He was born on 18 February 1919 in Los Angeles, graduating from Polytechnic High School in 1936. Before going to university he spent two years at Oxford and traveling elsewhere in Europe. There he improved his knowledge of Latin and Ancient Greek and became proficient in German, French and Italian.These language skills would later prove valuable in his mathematical and historical research. Truesdell was an undergraduate at the California Institute of Technology, where he obtained B.S. degrees in Physics and Mathematics in 1941 and an M.S. in Math- ematics in 1942. He obtained a Certificate in Mechanics from Brown University in 1942, and a Ph.D. in Mathematics from Princeton in 1943. From 1944–1946 he was a Staff Member of the Radiation Laboratory at MIT, moving to become Chief of the Theoretical Mechanics Subdivision of the U.S. Naval Ordnance Labo- ratory in White Oak, Maryland, from 1946–1948, and then Head of the Theoretical Mechanics Section of the U.S. -
Harry Bateman Papers
http://oac.cdlib.org/findaid/ark:/13030/kt4f59q9jr No online items Finding Aid for the Harry Bateman Papers 1906-1947 Processed by Carolyn K. Harding. 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/ ©2006 California Institute of Technology. All rights reserved. Finding Aid for the Harry 10018-MS 1 Bateman Papers 1906-1947 Descriptive Summary Title: Harry Bateman Papers, Date (inclusive): 1906-1947 Collection number: 10018-MS Creator: Bateman, Harry 1882-1946 Extent: 3.5 linear feet Repository: California Institute of Technology, Caltech Archives Pasadena, California 91125 Abstract: Harry Bateman was a mathematical physicist and professor of physics, mathematics and aeronautics at the California Institute of Technology (Caltech, originally Throop College), 1917-1946. The collection includes his manuscripts on binomial coefficients, notes on integrals and related material (much of which was later published by Arthur Erdélyi); and a small amount of personal correspondence. Also included are teaching materials and reprints. Physical location: Archives, California Institute of Technology. Language of Material: Languages represented in the collection: EnglishFrenchGerman 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. -
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. -
Council Congratulates Exxon Education Foundation
from.qxp 4/27/98 3:17 PM Page 1315 From the AMS ics. The Exxon Education Foundation funds programs in mathematics education, elementary and secondary school improvement, undergraduate general education, and un- dergraduate developmental education. —Timothy Goggins, AMS Development Officer AMS Task Force Receives Two Grants The AMS recently received two new grants in support of its Task Force on Excellence in Mathematical Scholarship. The Task Force is carrying out a program of focus groups, site visits, and information gathering aimed at developing (left to right) Edward Ahnert, president of the Exxon ways for mathematical sciences departments in doctoral Education Foundation, AMS President Cathleen institutions to work more effectively. With an initial grant Morawetz, and Robert Witte, senior program officer for of $50,000 from the Exxon Education Foundation, the Task Exxon. Force began its work by organizing a number of focus groups. The AMS has now received a second grant of Council Congratulates Exxon $50,000 from the Exxon Education Foundation, as well as a grant of $165,000 from the National Science Foundation. Education Foundation For further information about the work of the Task Force, see “Building Excellence in Doctoral Mathematics De- At the Summer Mathfest in Burlington in August, the AMS partments”, Notices, November/December 1995, pages Council passed a resolution congratulating the Exxon Ed- 1170–1171. ucation Foundation on its fortieth anniversary. AMS Pres- ident Cathleen Morawetz presented the resolution during —Timothy Goggins, AMS Development Officer the awards banquet to Edward Ahnert, president of the Exxon Education Foundation, and to Robert Witte, senior program officer with Exxon. -
Interview with J. Harold Wayland
J. HAROLD WAYLAND (1901 - 2000) INTERVIEWED BY JOHN L. GREENBERG AND ANN PETERS December 9 and 30, 1983 January 16, 1984 January 3, 5, and 7, 1985 J. Harold Wayland, 1979 ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Engineering and applied science Abstract An interview in six sessions, December 1983–January 1985, with J. Harold Wayland, professor emeritus of engineering science in the Division of Engineering and Applied Science. Dr. Wayland received a BS in physics and mathematics from the University of Idaho, 1931, and became a graduate student at Caltech in 1933, earning his PhD in 1937. After graduation he taught at the University of Redlands while working at Caltech as a research fellow with H. Bateman until 1941. Joins Naval Ordnance Laboratory as head of the magnetic model section for degaussing ships; War Research Fellow at Caltech 1944-45; heads Navy’s Underwater Ordnance Division. In 1949, joins Caltech’s faculty as associate professor of applied mechanics, becoming professor of engineering science in 1963; emeritus in 1979. He describes his early education and graduate work at Caltech under R. A. Millikan; courses with W. R. Smythe, F. Zwicky, M. Ward, and W. V. Houston; http://resolver.caltech.edu/CaltechOH:OH_Wayland_J teaching mathematics; research with O. Beeck. Fellowship, Niels Bohr Institute, Copenhagen; work with G. Placzek and M. Knisely; interest in rheology. On return, teaches physics at the University of Redlands meanwhile working with Bateman. Recalls his work at the Naval Ordnance Laboratory and torpedo development for the Navy. Discusses streaming birefringence; microcirculation and its application to various fields; Japan’s contribution; evolution of Caltech’s engineering division and the Institute as a whole; his invention of the precision animal table and intravital microscope. -
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. -
On the Metric of Space-Time
Journal of Modern Physics, 2013, 4, 1511-1518 Published Online November 2013 (http://www.scirp.org/journal/jmp) http://dx.doi.org/10.4236/jmp.2013.411184 On the Metric of Space-Time Carl E. Wulfman Department of Physics, University of the Pacific, Stockton, USA Email: [email protected] Received May 26, 2013; revised October 27, 2013; accepted August 28, 2013 Copyright © 2013 Carl E. Wulfman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. ABSTRACT Maxwell’s equations are obeyed in a one-parameter group of isotropic gravity-free flat space-times whose metric de- pends upon the value of the group parameter. An experimental determination of this value has been proposed. If it is zero, the metric is Minkowski’s. If it is non-zero, the metric is not Poincare invariant and local frequencies of electro- magnetic waves change as they propagate. If the group parameter is positive, velocity-independent red-shifts develop and the group parameter play a role similar to that of Hubble’s constant in determining the relation of these red-shifts to propagation distance. In the resulting space-times, the velocity-dependence of red shifts is a function of propagation distance. If 2c times the group parameter and Hubble’s constant have approximately the same value, observed fre- quency shifts in radiation received from stellar sources can imply source velocities quite different from those implied in Minkowski space. Electromagnetic waves received from bodies in galactic Kepler orbits undergo frequency shifts which are indistinguishable from shifts currently attributed to dark matter and dark energy in Minkowski space, or to a non-Newtonian physics.