The World of Mathematics, Volume 4

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Overview


Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements, puzzles, and fancies. Individual contributions by A. M. Turing, Aldous Huxley, Sir James Jeans, Lewis Carroll, and other notables. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures.
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Paperback (Unabridged Edition, Parts XVIII-XXVI)
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Overview


Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements, puzzles, and fancies. Individual contributions by A. M. Turing, Aldous Huxley, Sir James Jeans, Lewis Carroll, and other notables. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures.
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Product Details

  • ISBN-13: 9780486411521
  • Publisher: Dover Publications
  • Publication date: 8/25/2000
  • Series: Dover Books on Mathematics Series
  • Edition description: Unabridged Edition, Parts XVIII-XXVI
  • Pages: 464
  • Sales rank: 1,080,187
  • Product dimensions: 5.41 (w) x 8.49 (h) x 0.95 (d)

Meet the Author

James R. Newman's World of Mathematics
James R. Newman (1907–1966) was a rare mathematician who was also a lawyer who held several administrative positions in the United States government during and after World War II, including Chief Intelligence Officer at the US Embassy in London. His mammoth four-volume World of Mathematics was first published in 1956 and reprinted by Dover in 2000. It represented the culmination of a fifteen-year effort by Newman, in his later years as a member of the Editorial Board of Scientific American, to assemble in one publication what he considered the most important essays in the field. It's the book that has introduced generations of students to the range and extent of mathematical literature.

In the Author's Own Words:
"The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing."

"The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this new member of the solar system, and its exact location, were demonstrated with pencil and paper; there was left to observers only the routine task of pointing their telescopes at the spot the mathematicians had marked." ― James R. Newman

Critical Acclaim for The World of Mathematics:
"Others with bigger and now whetted appetites will no doubt regard this book as a generous hors d’oeuvre and obtain additional fare by pursuing the numerous recommendations made by the author." ― Morris Kline, New York Herald Tribune Book Review

"Promises to be the most frequently used reference book on mathematics, as well as a delight to readers with a wide range of backgrounds." ― J.G. Kemeny, The New York Times

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Table of Contents

VOLUME FOUR
PART XVIII: The Mathematician
  G.H. Hardy: Commentary
  1. A Mathematician's Apology by G. H. HARDY
  The Elusiveness of Invention: Commentary
  2 Mathematical Creation by HENRI POINCARÉ
  The Use of a Top Hat as a Water Bucket: Commentary
  3 The Mathematician by John Von Neumann
PART XIX: Mathematical Machines: Can a Machine Think?
  Automatic Computers: Commentary
  1. The General and Logical Theory of Automata by JOHN VON NEUMANN
  2. Can a Machine Think? By A. M. Turing
  3. A Chess-Playing Machine by CLAUDE SHANNON
PART XX: Mathematics in Warfare
  Frederick William Lanchester: Commentary
  1. Mathematics in Warfare by FREDERICK WILLIAM LANCHESTER
  Operations Research: Commentary
  2. How to Hunt a Submarine by PHILLIP M. MORSE and GEORGE E. KIMBALL
PART XXI: A Mathematical Theory of Art
  George David Birkhoff: Commentary
  1. Mathematics of Aesthetics by GEORGE DAVID BIRKHOFF
PART XXII: Mathematics of the Good
1. A Mathematical approach to Ethics by GEORGE DAVID BIRKHOFF
PART XXIII: Mathematics in Literature
  The Island of Laputa: Commentary
  1. Cycloid Pudding by JOHNATHAN SWIFT
  Aldous Huxley: Commentary
  2. Young Archimedes by ALDOUS HUXLEY
  Mr. Fortune: Commentary
  3. Geometry in the South Pacific by SYLVIA TOWNSEND WARNER
  Statistics as a Literary Stimulus: Commentary
  4. Inflexible Logic by RUSSELL MALONEY
  5. The Law by ROBERT M. COATES
PART XXIV: Mathematics and Music
  Sir James Jeans: Commentary
  1. Mathematics of Music by SIR JAMES JEANS
PART XXV: Mathematics as a Culture Clue
  Oswald Spengler: Commentary
  1. Meaning of Numbers by OSWALD SPENGLER
  2. The Locus of Mathematical Reality: An Anthropological Footnote by LESLIE A. WHITE
"PART XXVI: Amusements, Puzzles, Fancies"
  "Augustus De Morgan, and Estimable Man: Commentary"
  1. Assorted Paradoxes by AUGUSTUS DE MORGAN
  A Romance of Many Dimensions: Commentary
  2. Flatland by EDWIN A. ABBOTT
  Lewis Carroll: Commentary
  3. What the Tortoise Said to Achilles and Other Riddles by LEWIS CARROLL
  Continuity: Commentary
  4. The Lever of Mahomet by RICHARD COURANT and HERBERT ROBBINS
  Games and Puzzles: Commentary
  5. Pastimes of Past and Present Times by EDWARD KASNER and JANES R. NEWMAN
  6. Arithmetical Restorations by W. W. ROUSE BALL
  7. The Seven Seven's by W. E. H. BERWICK
  Thomas John l' Anson Bromwich: Commentary
  8. Easy Mathematics and Lawn Tennis by T. J. I'A. BROMWICH
  Stephen Butler Leacock: Commentary
  9. Mathematics for Golfers by STEPHEN LEACOCK
  10. Common Sense and the Universe by STEPHEN LEACOCK
INDEX
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