The Harmony of the world : 75 years of Mathematics Magazine

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Bibliographic Information

The Harmony of the world : 75 years of Mathematics Magazine

edited by Gerald L. Alexanderson ; with the assistance of Peter Ross

Mathematical Association of America, c2007

Other Title

Seventy-five years of Mathematics Magazine

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Includes bibliographical references and index

Description and Table of Contents

Description

A collection of the best from Mathematics Magazine. Gems from past issues of Mathematics Magazine or the Monthly or the College Mathematics Journal are read with pleasure when they appear, but get pushed into the background when the next issues arrive. So from time to time it is rewarding to go back and see just what marvellous material has been published over the years. There is history of mathematics (algebraic, numbers, inequalities, probability, and the Lebesgue integral, quaternions, Polya's enumeration theorem, and group theory) and history of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler). The list of authors is star-studded: E. T. Bell, Otto Neugebaur, D. H. Lehmer, Morris Kline, Einar Hille, Richard Bellman, Judith Grabiner, Paul Erdoes, B. L. van der Waerden, Paul R. Halmos, Doris Schattschneider, J. J. Burckhardt, Branko Grubaum, and many more. Eight of the articles included have received the Carl L. Allendoerfer or Lester R. Ford Awards.

Table of Contents

  • Introduction
  • A Brief History of Mathematics Magazine
  • Part I. The First Fifteen Years: Perfect Numbers Zena Garrett
  • Rejected Papers of Three Famous Mathematicians Arnold Emch
  • Review of 'Men of Mathematics' G. Waldo Dunnington
  • Oslo under the Integral Sign G. Waldo Dunnington
  • Vigeland's Monument to Abel in Oslo G. Waldo Dunnington
  • The History of Mathematics Otto Neugebauer
  • Numerical Notations and Their Influence on Mathematics D. H. Lehmer
  • Part II. The 1940s: The Generalized Weierstrass Approximation Theorem Marshall H. Stone
  • Hypatia of Alexandria A. W. Richeson
  • Gauss and the Early Development of Algebraic Numbers E. T. Bell
  • Part III. The 1950s: The Harmony of the World Morris Kline
  • What Mathematics Has Meant to Me E. T. Bell
  • Mathematics and Mathematicians from Abel to Zermelo Einar Hille
  • Inequalities Richard Bellman
  • A Number System with an Irrational Base George Bergman
  • Part IV. The 1960s: Generalizations of Theorems about Triangles Carl B. Allendoerfer
  • A Radical Suggestion Roy J. Dowling
  • Topology and Analysis R. C. Buck
  • The Sequence {sin n} C. Stanley Ogilvy
  • Probability Theory and the Lebesgue Integral Truman Botts
  • On Round Pegs in Square Holes and Square Pegs in Round Holes David Singmaster
  • t : 1832-1879 Underwood Dudley
  • Part V. The 1970s: Trigonometric Identities Andy R. Magid
  • A Property of 70 Paul Erdoes
  • Hamilton's Discovery of Quaternions B. L. van der Waerden
  • Geometric Extremum Problems G. D. Chakerian and L. H. Lange
  • Polya's Enumeration Theorem by Example Alan Tucker
  • Logic from A to G Paul R. Halmos
  • Tiling the Plane with Congruent Pentagons Doris Schattschneider
  • Unstable Polyhedral Structures Michael Goldberg
  • Part VI. The 1980s: Leonhard Euler, 1707-1783 J. J. Burckhardt
  • Love Affairs and Differential Equations Steven H. Strogatz
  • The Evolution of Group Theory Israel Kleiner
  • Design of an Oscillating Sprinkler Bart Braden
  • The Centrality of Mathematics in the History of Western Thought Judith V. Grabiner
  • Geometry Strikes Again Branko Grunbaum
  • Why Your Classes Are Larger than 'Average' David Hemenway
  • The New Polynomial Invariants of Knots and Links W. B. R. Lickorish and Kenneth C. Millett
  • Briefly noted
  • The problem section
  • Index
  • About the editors.

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