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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. -
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. -
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. -
CSHPM Bulletin, November 2016
BULLETIN November/Novembre 2016 Number/le num´ero 59 WHAT’S INSIDE Articles Announcements ................................................................................................ 3 Interact with MAA Convergence [Janet Beery] .............................................................. 7 Joint AMS/MAA Meetings in Atlanta........................................................................ 9 Quotations in Context [Mike Molinsky] ...................................................................... 13 Grattan-Guinness Archival Research Travel Grants [Karen Parshall] ...................................... 14 Ohio Section 100th Annual Meeting [David Kullman]....................................................... 18 Three Societies in Edmonton [David Orenstein] ............................................................. 19 COMHISMA12 in Marrakech [Gregg de Young] ............................................................. 20 Jim Kiernan (1949–2014) [Walter Meyer]..................................................................... 22 Reports From the President [Dirk Schlimm] ........................................................................... 2 Executive Council Meeting CSHPM/ SCHPM............................................................... 9 2017 Call for Papers............................................................................................ 10 Annual General Meeting HSSFC [Amy Ackerberg-Hastings] ............................................... 15 AGM of CSHPM/SCHPM [Patricia Allaire] ................................................................ -
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. -
2021 Albert Leon Whiteman Memorial Prize
FROM THE AMS SECRETARY 2021 Albert Leon Whiteman Memorial Prize Judith Victor Grabiner was awarded the Whiteman Memorial Prize at the Annual Meeting of the AMS, held virtually January 6–9, 2021. Citation Professor award in 1975. She was copresident of the West The 2021 Albert Leon White- Coast History of Science Society (1973–1975), Book man Memorial Prize is awarded Review Editor of Historia Mathematica (1976–1988), and to Judith Grabiner for her out- Chair of the Southern California Section of the Mathemati- standing contributions to the cal Association of America (MAA; 1982–1983). In 1985 she history of mathematics, in joined the mathematics faculty at Pitzer College in Clare- particular her works on Cau- mont, California, where she held the Flora Sanborn Pitzer chy, Lagrange, and MacLaurin; Chair in Mathematics until retiring in 2016. She has been a her widely recognized gift for Visiting Scholar at the University of Leeds, the University of expository writing; and a dis- Edinburgh, Cambridge University, the Australian National tinguished career of teaching, University, and the University of Copenhagen. In 2013 she lecturing, and numerous pub- became a Fellow of the American Mathematical Society. Judith Victor Grabiner lications promoting a better Grabiner’s publications include three books: The Origins understanding of mathematics of Cauchy’s Rigorous Calculus (1981), The Calculus as Algebra and the significant roles it plays in culture generally. (1990), and A Historian Looks Back: The Calculus as Algebra and Selected Writings (2010), which won the Beckenbach Biographical Sketch Book Prize from the MAA in 2014. She has also published Judith Victor Grabiner earned her BS in Mathematics in over forty refereed articles, three of which have won Carl 1960 at the University of Chicago, where she discovered Allendoerfer awards for articles of expository excellence that history, philosophy, and literature could be just as in the Mathematics Magazine: “The Changing Concept of interesting and intellectually challenging as science. -
Beckenbach Book Prize
MATHEMATICAL ASSOCIATION OF AMERICA MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE HE BECKENBACH BOOK PRIZE, established in 1986, is the successor to the MAA Book Prize established in 1982. It is named for the late Edwin T Beckenbach, a long-time leader in the publications program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is intended to recognize the author(s) of a distinguished, innovative book published by the MAA and to encourage the writing of such books. The award is not given on a regularly scheduled basis. To be considered for the Beckenbach Prize a book must have been published during the five years preceding the award. CITATION Nathan Carter Bentley University Introduction to the Mathematics of Computer Graphics, Mathematical Associa- tion of America (2016) The Oxford logician Charles Dodgson via his famed Alice character rhetorically asked, “Of what use is a book without pictures?” And most of us believe that a picture is worth a thousand words. In the same spirit, Nathan Carter in his Introduction to the Mathematics of Computer Graphics has given us a how-to book for creating stunning, informative, and insightful imagery. In an inviting and readable style, Carter leads us through a cornucopia of mathematical tricks and structure, illustrating them step-by-step with the freeware POV-Ray—an acronym for Persistence of Vision Raytracer. Each section of his book starts with a natural question: Why is this fun? Of course, the answer is a striking image or two—to which a reader’s impulsive response is, How might I do that? Whereupon, Carter proceeds to demonstrate. -
The Beginnings of the R. L. Moore School of Topology
The Beginnings of the R. L. Moore School of Topology Albert C. Lewis Preprint of an article to be published in Historia Mathematica. Originally prepared for a session on mathematical schools at the First Joint International Meeting of the American Mathematical Society and the Unione Matematica Italiana, Pisa, 12–16 June 2002. Abstract The roots of the R. L. Moore school of point set topology were formed around 1900 with Moore’s most direct influences coming from his University of Texas teacher G. B. Halsted and from his graduate school teachers at the University of Chicago, mainly O. Veblen and E. H. Moore. It was recognized as a school by the 1930s as Moore and his students achieved recognition for their work and as this group interacted with the Polish school of topology. In addition to the mathematical subject, the other main factor that helped to identify this group as a school was the distinctive method of teaching Moore used to introduce the subject to students. n 1938 when R. L. Moore was president of the American Mathematical Society, the official fiftieth-anniversary historian, R. C. Archibald, surmised that Moore “may almost be thought Iof as the founder of a ‘school’ in analysis situs” (1938, 241). In their classic 1935 com- pendium Topologie, Alexandroff and Hopf, in describing the study of locally-connected continua, stated that “In den Händen der polnischen (Mazurkiewicz, Sierpinski, Kuratowski, Zarankiewicz u.a.) sowie der amerikanischen Schule von R. L. Moore (Moore, Kline, Ayres, Gehman, Whyburn, Wilder u. a.) hat sich eine umfangreiche Theorie entwickelt” (In the hands of the Pol- ish school (Mazurkiewicz, Sierpinski, Kuratowski, Zarankiewicz, et al.) as well as of the Ameri- can school of R. -
Humanistic Mathematics Membership List: by ZIP Code
Humanistic Mathematics Network Journal Issue 3 Article 4 12-1-1988 Humanistic Mathematics Membership List: by ZIP Code Follow this and additional works at: http://scholarship.claremont.edu/hmnj Recommended Citation (1988) "Humanistic Mathematics Membership List: by ZIP Code," Humanistic Mathematics Network Journal: Iss. 3, Article 4. Available at: http://scholarship.claremont.edu/hmnj/vol1/iss3/4 This Index is brought to you for free and open access by the Journals at Claremont at Scholarship @ Claremont. It has been accepted for inclusion in Humanistic Mathematics Network Journal by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. HUMANIST IC MATH[M ATICS NETWOR K MEMB ERSHIP LI ST by ZI P code Addition s and co rre c t i ons Line Fi sch 3309 Bellefonte Or. Greg Turner Le x,n gton, KY 405u2 Pitzer College Claremont , CA 917]] Wa yne Yun as z .S enio r Editor Random Ho use Inc . Ka y Hud speth 215 1st St. Minority En gineerin g Program Cam br i dge MA 02142 Cal State Dol ytech Univ. Pomon a , CA91 768 Bi1/ Berlinghoff ( moved to ) COlby Col l ege 04901 Ed OUbins ky (mo ved to) Pu rdue Uni v. 47907 Paul Jason Exxon Educat i on Fou ndation PO box 101 Fl or ham Park,NJ 07932 Jack V. Wa les, Jr. TH E THA CHER SCHOOL 5025Thacher Road Ojai, CA93023 Amherst , MA 01003, Prof Ja ck Lochhead, Cognitive Development Group, U of M-Hasbrouck laboratory Northhampton , MA 01063, Prof David Cohen , Mathematics Department, Smith College Northhampton, MA 01063, Prof James Henle, Mathematics Department , Smit h College Northham pton, MA 01063, Tom Tymoczko , Smith College. -
December 2015/January 2016 • Volume 9 • Number 2
December 2015/January 2016 • Volume 9 • Number 2 To Foster and Nurture Girls’ Interest in Mathematics An Interview with Alice Guionnet, Part 1 Learn by Doing: The Exponential The Laws of Probability, Part 2 Thoughts on Multiplication Math in Your World: Linear Regression In Search of Nice Triangles, Part 333 Anna’s Math Journal Notes from the Club © Copyright 2015 Girls’ Angle. All Rights Reserved. 1 From the Founder Girls’ Angle Bulletin The official magazine of As you read this Bulletin, please question everything. Verify the math for Girls’ Angle: A Math Club for girls yourself. See if you can predict where things are going and get there first. Electronic Version (ISSN 2151-5743) If you have unanswered questions, send them to us. For example, if you have a hunch about where Anna’s Math Journal is heading, work it out and Website: www.girlsangle.org tell us about it. We’d love to hear from you! Email: [email protected] - Ken Fan, President and Founder This magazine is published six times a year by Girls’ Angle to communicate with its members and to share ideas and information about mathematics. Girls’ Angle welcomes submissions that pertain to mathematics. Girls’ Angle thanks the following for their generous contribution: Editor: Jennifer Silva Individuals Executive Editor: C. Kenneth Fan Bill Bogstad Stephen Knight and Doreen Kelly-Carney Elizabeth Quattrocki Knight Robert Carney Junyi Li Girls’ Angle: Lauren Cipicchio Beth O’Sullivan A Math Club for Girls Lenore Cowen Elissa Ozanne Merit Cudkowicz Robert Penny and David Dalrymple Elizabeth Tyler The mission of Girls’ Angle is to foster and Patricia Davidson Malcolm Quinn nurture girls’ interest in mathematics and Ingrid Daubechies Jeffrey and Eve Rittenberg empower them to tackle any field no matter Anda Degeratu Christian Rudder the level of mathematical sophistication.