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The Harmony of the world : 75 years of Mathematics magazine / edited by Gerald L. Alexanderson ; with the assistance of Peter Ross.
- Format:
- Book
- Series:
- MAA spectrum.
- Spectrum series
- Language:
- English
- Subjects (All):
- Mathematics magazine--History.
- Mathematics magazine.
- Mathematics--Periodicals--History.
- Mathematics.
- Physical Description:
- 1 online resource (xiii, 287 pages) : digital, PDF file(s).
- Edition:
- 1st ed.
- Other Title:
- Harmony of the world : seventy-five years of Mathematics magazine
- 75 years of Mathematics magazine
- Seventy-five years of Mathematics magazine
- Place of Publication:
- Washington : Mathematical Association of America, 2007.
- Language Note:
- English
- Summary:
- Who would expect to find in Mathematics Magazine an interview by Mike Wallace of 60 Minutes of a 12-year-old boy in New York who had published an article on a number system with an irrational base and who would go on to a significant career as a professor of mathematics at the University of California, Berkeley? And who would expect to find in the pages of the Magazine the first full treatment of one of the more important and oft-cited twentieth century theorems in analysis, the Stone-Weierstrass Theorem-in an article by Marshall Stone himself. Where else would one look for proofs of trigonometric identities using commutative ring theory? Or one of the earliest and best expository articles on the then new Jones knot polynomials, an article that won the prestigious Chauvenet Prize? Or an amusing article purporting to show that the value of phas been time dependent over the years? This and much more is in this collection of the 'best' from Mathematics Magazine. The list of authors is star-studded: E.T. Bell, Otto Neugebaur, D.H. Lehmer, Morris Kline, Einar Hille, Richard Bellman, Judith Grabiner, Paul Erdös, B.L. van der Waerden, Paul R. Halmos, Doris Schattschneider, J.J. Burckhardt, Branko Grübaum, and many more. Eight of the articles included have received the Carl L. Allendoerfer or Lester R. Ford Awards.
- Contents:
- 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
- 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
- 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
- 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
- [Pi]t : 1832-1879, Underwood Dudley
- Trigonometric identities / Andy R. Magid
- A property of 70 / Paul Erdös
- Hamilton's discovery of quaternions / B.L. van der Waerden
- Geometric extremum problems / G.D. Chakerian and L.H. Lange
- Pólya'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
- 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 Grünbaum
- 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.
- Notes:
- Title from publisher's bibliographic system (viewed on 02 Oct 2015).
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 0-88385-966-1
- OCLC:
- 923220403
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