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Mathematics Is a Gentleman's Art: Analysis and Synthesis in American College Geometry Teaching, 1790-1840 Amy K
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 2000 Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 Amy K. Ackerberg-Hastings Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Higher Education and Teaching Commons, History of Science, Technology, and Medicine Commons, and the Science and Mathematics Education Commons Recommended Citation Ackerberg-Hastings, Amy K., "Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 " (2000). Retrospective Theses and Dissertations. 12669. https://lib.dr.iastate.edu/rtd/12669 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital 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 margwis, 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. -
Mathematical Language and Mathematical Progress by Eberhard Knobloch
Mathematical language and mathematical progress By Eberhard Knobloch In 1972 the space probe Pioneer 10 was launched, carrying a plaque which contains the first message of mankind to leave our solar system1: The space probe is represented by a circular segment and a rectangle designed on the same scale as that of the man and the woman. This is not true of the solar system: sun and planets are represented by small circles and points. We do not know whether there are other intelligent beings living on stars in the universe, or whether they will even understand the message. But the non-verbal, the symbolical language of geometry seemed to be more appropriate than any other language. The grammar of any ordinary language is so complicated that still every computer breaks down with regards to it. 1 Karl Märker, "Sind wir allein im Weltall? Kosmos und Leben", in: Astronomie im Deutschen Museum, Planeten - Sterne - Welteninseln, hrsg. von Gerhard Hartl, Karl Märker, Jürgen Teichmann, Gudrun Wolfschmidt (München: Deutsches Museum, 1993), p. 217. [We reproduce the image of the plaque from: http://en.wikipedia.org/wiki/Pioneer_plaque ; Karine Chemla] 1 The famous Nicholas Bourbaki wrote in 19482: "It is the external form which the mathematician gives to his thought, the vehicle which makes it accessible to others, in short, the language suited to mathematics; this is all, no further significance should be attached to it". Bourbaki added: "To lay down the rules of this language, to set up its vocabulary and to clarify its syntax, all that is indeed extremely useful." But it was only the least interesting aspect of the axiomatic method for him. -
Prize Is Awarded Every Three Years at the Joint Mathematics Meetings
AMERICAN MATHEMATICAL SOCIETY LEVI L. CONANT PRIZE This prize was established in 2000 in honor of Levi L. Conant to recognize the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding fi ve years. Levi L. Conant (1857–1916) was a math- ematician who taught at Dakota School of Mines for three years and at Worcester Polytechnic Institute for twenty-fi ve years. His will included a bequest to the AMS effective upon his wife’s death, which occurred sixty years after his own demise. Citation Persi Diaconis The Levi L. Conant Prize for 2012 is awarded to Persi Diaconis for his article, “The Markov chain Monte Carlo revolution” (Bulletin Amer. Math. Soc. 46 (2009), no. 2, 179–205). This wonderful article is a lively and engaging overview of modern methods in probability and statistics, and their applications. It opens with a fascinating real- life example: a prison psychologist turns up at Stanford University with encoded messages written by prisoners, and Marc Coram uses the Metropolis algorithm to decrypt them. From there, the article gets even more compelling! After a highly accessible description of Markov chains from fi rst principles, Diaconis colorfully illustrates many of the applications and venues of these ideas. Along the way, he points to some very interesting mathematics and some fascinating open questions, especially about the running time in concrete situ- ations of the Metropolis algorithm, which is a specifi c Monte Carlo method for constructing Markov chains. The article also highlights the use of spectral methods to deduce estimates for the length of the chain needed to achieve mixing. -
The First One Hundred Years
The Maryland‐District of Columbia‐Virginia Section of the Mathematical Association of America: The First One Hundred Years Caren Diefenderfer Betty Mayfield Jon Scott November 2016 v. 1.3 The Beginnings Jon Scott, Montgomery College The Maryland‐District of Columbia‐Virginia Section of the Mathematical Association of America (MAA) was established, just one year after the MAA itself, on December 29, 1916 at the Second Annual Meeting of the Association held at Columbia University in New York City. In the minutes of the Council Meeting, we find the following: A section of the Association was established for Maryland and the District of Columbia, with the possible inclusion of Virginia. Professor Abraham Cohen, of Johns Hopkins University, is the secretary. We also find, in “Notes on the Annual Meeting of the Association” published in the February, 1917 Monthly, The Maryland Section has just been organized and was admitted by the council at the New York meeting. Hearty cooperation and much enthusiasm were reported in connection with this section. The phrase “with the possible inclusion of Virginia” is curious, as members from all three jurisdictions were present at the New York meeting: seven from Maryland, one from DC, and three from Virginia. However, the report, “Organization of the Maryland‐Virginia‐District of Columbia Section of the Association” (note the order!) begins As a result of preliminary correspondence, a group of Maryland mathematicians held a meeting in New York at the time of the December meeting of the Association and presented a petition to the Council for authority to organize a section of the Association in Maryland, Virginia, and the District of Columbia. -
Scientific Workplace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra
Scientific WorkPlace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra (-l +lr,:znt:,-1 + 2r) ,..,_' '"""""Ke~r~UrN- r o~ r PooiliorK 1.931'J1 Po6'lf ·1.:1l26!.1 Pod:iDnZ 3.881()2 UfW'IICI(JI)( -2.801~ ""'"""U!NecteoZ l!l!iS'11 v~ 0.7815399 Animated plots ln spherical coordln1tes > To make an anlm.ted plot In spherical coordinates 1. Type an expression In thr.. variables . 2 WMh the Insertion poilt In the expression, choose Plot 3D The next exampfe shows a sphere that grows ftom radius 1 to .. Plot 3D Animated + Spherical The Gold Standard for Mathematical Publishing Scientific WorkPlace and Scientific Word Version 5.5 make writing, sharing, and doing mathematics easier. You compose and edit your documents directly on the screen, without having to think in a programming language. A click of a button allows you to typeset your documents in LAT£X. You choose to print with or without LATEX typesetting, or publish on the web. Scientific WorkPlace and Scientific Word enable both professionals and support staff to produce stunning books and articles. Also, the integrated computer algebra system in Scientific WorkPlace enables you to solve and plot equations, animate 20 and 30 plots, rotate, move, and fly through 3D plots, create 3D implicit plots, and more. MuPAD' Pro MuPAD Pro is an integrated and open mathematical problem solving environment for symbolic and numeric computing. Visit our website for details. cK.ichan SOFTWARE , I NC. Visit our website for free trial versions of all our products. www.mackichan.com/notices • Email: info@mac kichan.com • Toll free: 877-724-9673 It@\ A I M S \W ELEGRONIC EDITORIAL BOARD http://www.math.psu.edu/era/ Managing Editors: This electronic-only journal publishes research announcements (up to about 10 Keith Burns journal pages) of significant advances in all branches of mathematics. -
13, November 1990 ISSN 0835-5924
BULLETIN CSHPM/SCHPM T,HE TOKYO HISTORY 'OF MA T"EMA 11_Cl, , / SYMPOSIU'M 19,90/ '~'q~, '/ ___"" __:~".,~,,,, <~~""'-"""'~:'""""""""~'l:~.,,:.;:';'l<;..n"'<'¢""'''''fi~:;" ~--j-""'?::~::'~::~=;;C-:-- ;---~><,' /, .' The 21st InterrrationalCor;:~ress of Matiliematiciails (ICM) whi' be held in Kyoto, Japan, -rrnt.,..··,.c.;Ll1fT1 21 th[ough'29, 1990, the first one;m:"the( Eastin the alm0st one hundred. years of its history. As a conference related to the Kyoto ~CM; Japanese'bistorian$ of'math~matics ha~e'ur:ganized the History of Mathematics Symposium t?,be'held in Tokyo on August 31 and ,September 1, 1990 .. It is supported by the Organizing Committee of the Kyoto 10M, the History of Science Society of Jap~:''and the Interna- tional.Commissionon'the History of M~themadcs. ,I ,,', ,"4 . The Tokyo S~posium will emphasize the f~llowing three fields in the 'history of mathe~~tics : (1) mathematical traditions in the East, (2) the history of;; matheplatics in moijern Europe, and (3) the interaction between mathematicaJ.)~esearc~ an¢' the hist~ry of rhathematics. It'will consist of the/tWo ses~ions : SessionA comprised of 22 invited',lectures, and;'Sessionffi:comprised of' communications. "" ' ~ ,t :. ~ f '::':"::~~;:; ~'-' 4 5 >~..,,,,,,' numero 13, novembre 1990 number 13, November 1990 ISSN 0835-5924 Canadian Society for History and Philosophy of Mathematics Societe canadienne d'histoire et de philosophie des mathematiques l The Bulletin is an informal medium whose aim is to inform members of the CSHPM\SCHPM, and others interested in the history and philosophy of mathematics, of happenings, meetings, current research work, pUblications etc. and to provide a place where one can present tidbits, historical problems, quotations etc. -
History of Mathematics
SIGMAA – History of Mathematics Joint meeting of: British Society for the History of Mathematics Canadian Society for the History and Philosophy of Mathematics History of Mathematics Special Interest Group of the MAA (HOMSIGMAA) Philosophy of Mathematics Special Interest Group of the MAA (POMSIGMAA) Marriott Wardman Park, Washington, D.C. Wednesday, August 5 8:20 MAA Centennial Lecture #1 - Room: Salon 2/3 9:30 Hedrick Lecture #1 - Room: Salon 2/3 Session TCPS#1A: History of Mathematics – Room: Washington 4 Moderator: Amy Ackerberg-Hastings 10:30 Amy Shell-Gellasch, Montgomery College, Maryland Ellipsographs: Drawing Ellipses and the Devices in the Smithsonian Collection 11:00 Peggy Aldrich Kidwell, National Museum of American History, Smithsonian Institution Engaging Minds – Charter Members of the MAA and the Material Culture of American Mathematics 11:30 Florence Fasanelli The History of Mathematics in Washington, D.C. Session TCPS#1B: History of Mathematics – Room: Washington 5 Moderator: Danny Otero 10:30 Cathleen O’Neil Eisenhower, the Binomial Theorem, and the $64,000 Question 11:00 S. Roberts John Horton Conway: Certainly a Piece of History 11:30 E. Donoghue A Pair of Early MAA Presidents = A Pair of Mathematics Historians: Florian Cajori and David Eugene Smith 12:00 Lunch Break Session TCPS#1C: History and Philosophy of Mathematics – Room: Washington 4 Moderator: Jim Tattersall 1:00 Charles Lindsey Doing Arithmetic in Medieval Europe 1:30 Travis D. Williams, University of Rhode Island Imagination and Reading the Third Dimension in Early Modern Geometry 2:00 Christopher Baltus, SUNY Oswego The Arc Rampant in 1673: an Early Episode in the History of Projective Geometry 2:30 Andrew Leahy William Brouncker’s Rectification of the Semi-Cubical Parabola Session TCPS#1D: History and Philosophy of Mathematics – Room: Washington 5 Moderator: Dan Sloughter 1:30 Ann Luppi von Mehren, Arcadia University Inspiration for Elementary Mathematics Descriptions from a “Heritage” Reading (in the sense of Grattan-Guinness) of “On the Nonexistent” by Gorgias 2:00 Thomas Q. -
View This Volume's Front and Back Matter
Titles in This Series Volume 8 Kare n Hunger Parshall and David £. Rowe The emergenc e o f th e America n mathematica l researc h community , 1876-1900: J . J. Sylvester, Felix Klein, and E. H. Moore 1994 7 Hen k J. M. Bos Lectures in the history of mathematic s 1993 6 Smilk a Zdravkovska and Peter L. Duren, Editors Golden years of Moscow mathematic s 1993 5 Georg e W. Mackey The scop e an d histor y o f commutativ e an d noncommutativ e harmoni c analysis 1992 4 Charle s W. McArthur Operations analysis in the U.S. Army Eighth Air Force in World War II 1990 3 Pete r L. Duren, editor, et al. A century of mathematics in America, part III 1989 2 Pete r L. Duren, editor, et al. A century of mathematics in America, part II 1989 1 Pete r L. Duren, editor, et al. A century of mathematics in America, part I 1988 This page intentionally left blank https://doi.org/10.1090/hmath/008 History of Mathematics Volume 8 The Emergence o f the American Mathematical Research Community, 1876-1900: J . J. Sylvester, Felix Klein, and E. H. Moor e Karen Hunger Parshall David E. Rowe American Mathematical Societ y London Mathematical Societ y 1991 Mathematics Subject Classification. Primary 01A55 , 01A72, 01A73; Secondary 01A60 , 01A74, 01A80. Photographs o n th e cove r ar e (clockwis e fro m right ) th e Gottinge n Mathematisch e Ges - selschafft, Feli x Klein, J. J. Sylvester, and E. H. Moore. -
Carolyn Eisele's Place in Peirce Studies 327 from Mathematics and Science
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector HISTORIA MATHEMATICA 9 (1982) 326-332 CAROLYNEISELE'S PLACE IN PEIRCE STUDIES BY KENNETH LAINE KETNER INSTITUTE FOR STUDIES IN PRAGMATICISM, TEXAS TECH UNIVERSITY, LUBBOCK, TEXAS 79409 SUMMARIES Carolyn Eisele's unique, ongoing career as a scholar is sketched, and the importance of her contributions to Peirce Studies and other fields is emphasized. The essay concludes with a series of suggestions about how to interpret Peirce's works based on themes related to the pioneering efforts of Dr. Eisele. Carolyn Eisele poursuit une carribre originale dont nous prdsentons un aperqu. Nous mettons en 6vidence l'importance de sa contribution 2 notre connaissance de Peirce ainsi que son apport dans d'autres domaines. Notre essai se conclue par une sbrie de suggestions sur l'interpr&tation que l'on peut donner aux oeuvres de Peirce en se basant sur quelques th&nes issus des efforts de cette pionniere qu'est Carolyn Eisele. Es wird die einzigartige Karriere von Carolyn Eisele als Wissenschaftlerin skizziert und dabei die Bedeutung ihrer Beitr;ige zu Peirce-Studien wie auf anderen Gebieten betont. Der Essay schliei3t tit einer Reihe von Vorschllgen dazu, wie die Werke von Peirce in Verbindung mit den bahnbrechenden Bemiihungen von Frau Dr. Eisele zu interpretieren seien. The essays collected here honor two remarkable American scholarly careers, those of Charles Sanders (some add Santiago) Peirce and of a major interpreter of Peirce's works, Carolyn Eisele. We intersect with Eisele's career at a time when she has completed two major projects--her edition of Peirce's math- ematical works in The New Elements of Mathematics by Charles S. -
Hands on History a Resource for Teaching Mathematics © 2007 by the Mathematical Association of America (Incorporated)
Hands On History A Resource for Teaching Mathematics © 2007 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2007937009 Print edition ISBN 978-0-88385-182-1 Electronic edition ISBN 978-0-88385-976-6 Printed in the United States of America Current Printing (last digit): 10 9 8 7 6 5 4 3 2 1 Hands On History A Resource for Teaching Mathematics Edited by Amy Shell-Gellasch Pacific Lutheran University Published and Distributed by The Mathematical Association of America The MAA Notes Series, started in 1982, addresses a broad range of topics and themes of interest to all who are in- volved with undergraduate mathematics. The volumes in this series are readable, informative, and useful, and help the mathematical community keep up with developments of importance to mathematics. Council on Publications James Daniel, Chair Notes Editorial Board Stephen B Maurer, Editor Paul E. Fishback, Associate Editor Michael C. Axtell Rosalie Dance William E. Fenton Donna L. Flint Michael K. May Judith A. Palagallo Mark Parker Susan F. Pustejovsky Sharon Cutler Ross David J. Sprows Andrius Tamulis MAA Notes 14. Mathematical Writing, by Donald E. Knuth, Tracy Larrabee, and Paul M. Roberts. 16. Using Writing to Teach Mathematics, Andrew Sterrett, Editor. 17. Priming the Calculus Pump: Innovations and Resources, Committee on Calculus Reform and the First Two Years, a subcomit- tee of the Committee on the Undergraduate Program in Mathematics, Thomas W. Tucker, Editor. 18. Models for Undergraduate Research in Mathematics, Lester Senechal, Editor. 19. Visualization in Teaching and Learning Mathematics, Committee on Computers in Mathematics Education, Steve Cunningham and Walter S. -
Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics
Studies in Logic Volume 26 Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics Volume 17 Reasoning in Simple Type Theory. Festschrift in Honour of Peter B. Andrews on His 70th Birthday. Christoph Benzmüller, Chad E. Brown and Jörg Siekmann, eds. Volume 18 Classification Theory for Abstract Elementary Classes Saharon Shelah Volume 19 The Foundations of Mathematics Kenneth Kunen Volume 20 Classification Theory for Abstract Elementary Classes, Volume 2 Saharon Shelah Volume 21 The Many Sides of Logic Walter Carnielli, Marcelo E. Coniglio, Itala M. Loffredo D’Ottaviano, eds. Volume 22 The Axiom of Choice John L. Bell Volume 23 The Logic of Fiction John Woods, with a Foreword by Nicholas Griffin Volume 24 Studies in Diagrammatology and Diagram Praxis Olga Pombo and Alexander Gerner Volume 25 The Analytical Way: Proceedings of the 6th European Congress of Analytical Philosophy Tadeusz Czarnecki, Katarzyna Kijania-Placek, Olga Poller and Jan Woleski , eds. Volume 26 Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics Albrecht Heeffer and Maarten Van Dyck, eds. Studies in Logic Series Editor Dov Gabbay [email protected] Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics Edited by Albrecht Heeffer and Maarten Van Dyck © Individual author and College Publications 2010. All rights reserved. ISBN 978-1-84890-017-2 College Publications Scientific Director: Dov Gabbay Managing Director: Jane Spurr Department of Computer Science King’s College London, Strand, London WC2R 2LS, UK http://www.collegepublications.co.uk Original cover design by orchid creative www.orchidcreative.co.uk Printed by Lightning Source, Milton Keynes, UK All rights reserved. -
KUIL, Vol. 26, 2003, 429-474 the HISTORY of CHINESE
KUIL, vol. 26, 2003, 429-474 THE HISTORY OF CHINESE MATHEMATICS: THE PAST 25 YEARS ANDREA EBERHARD-BRÉARD REHSEIS (CNRS), France • Ph. D. Program in History • The Graduate Center, CUNY JOSEPH W. DAUBEN Ph. D. Program in History • The Graduate Center, CUNY XU YIBAO Ph.D. Program in History • The Graduate Center, CUNY RESUMEN ABSTRACT El presente artículo presenta los más This paper presents the major accom- importantes logros de la investigacián plishments of research over the past quar- sobre historia de las matemáticas chinas en ter century in the field of Chinese mathe- el ŭltimo cuarto del siglo XX. Comienza matics and its history. We begin with a con una breve panordmica sobre el estado brief overview of the progress of our de conocimientos y las principales figuras knowledge of that history, and the major que realizaron las prirneras contribuciones figures who contributed the fundamental fundamentales antes de 1975 para después early works prior to 1975, and then exam- examinar más detenidamente las aporta- ine more carefully the achievements of the ciones Ilevadas a cabo durante el ŭltimo past quarter century, beginning with a cuarto de siglo: autores europeos, publica- general overview of the subject before ciones en inglés y, finalmente, la extraor- surveying in more detail the contributions dinaria produccián en chino, en su mayor made in the past twenty-five years, first parte tras la Revolución Cultural. by Europeans, then by scholars publishing in English, after which this survey turns to examine the extraordinary production of scholarship written in Chinese, most of it since the end of the Cultural Revolution.