9780486411521

The World of Mathematics, Vol. 4

by
  • ISBN13:

    9780486411521

  • ISBN10:

    0486411524

  • Format: Paperback
  • Copyright: 2000-08-25
  • Publisher: Dover Publications
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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Summary

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.

Author Biography

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

Table of Contents

PART XVIII: The Mathematician
Commentary
2024(3)
G. H. Hardy
A Mathematician's Apology
2027(14)
G. H. Hardy
The Elusiveness of Invention: Commentary
2039(2)
Mathematical Creation
2041(12)
Henri Poincare
The Use of a Top Hat as a Water Bucket: Commentary
2051(2)
The Mathematician
2053(17)
John Von Neumann
PART XIX: Mathematical Machines: Can a Machine Think?
Automatic Computers: Commentary
2066(4)
The General and Logical Theory of Automata
2070(29)
John Von Neumann
Can a Machine Think?
2099(25)
A. M. Turing
A Chess-Playing Machine
2124(14)
Claude Shannon
PART XX: Mathematics in Warfare
Commentary
2136(2)
Frederick William Lanchester
Mathematics in Warfare
2138(22)
Frederick William Lanchester
Operations Research: Commentary
2158(2)
How to Hunt a Submarine
2160(25)
Phillip M. Morse
George E. Kimball
PART XXI: A Mathematical Theory of Art
Commentary
2182(3)
George David Birkhoff
Mathematics of Aesthetics
2185(13)
George David Birkhoff
PART XXII: Mathematics of the Good
A Mathematical Approach to Ethics
2198(16)
George David Birkhoff
PART XXIII: Mathematics in Literature
The Island of Laputa: Commentary
2210(4)
Cycloid Pudding
2214(9)
Jonathan Swift
Commentary
2221(2)
Aldous Huxley
Young Archimedes
2223(29)
Aldous Huxley
Commentary
2250(2)
Mr. Fortune
Geometry in the South Pacific
2252(10)
Sylvia Townsend Warner
Statistics as a Literary Stimulus: Commentary
2261(1)
Inflexible Logic
2262(6)
Russell Maloney
The Law
2268(10)
Robert M. Coates
PART XXIV: Mathematics and Music
Commentary
2274(4)
Sir James Jeans
Mathematics of Music
2278(37)
Sir James Jeans
PART XXV: Mathematics as a Culture Clue
Commentary
2312(3)
Oswald Spengler
Meaning of Numbers
2315(33)
Oswald Spengler
The Locus of Mathematical Reality: An Anthropological Footnote
2348(21)
Leslie A. White
PART XXVI: Amusements, Puzzles, Fancies
an Estimable Man: Commentary
2366(3)
Augustus De Morgan
Assorted Paradoxes
2369(16)
Augustus De Morgan
A Romance of Many Dimensions: Commentary
2383(2)
Flatland
2385(17)
Edwin A. Abbott
Commentary
2397(5)
Lewis Carroll
What the Tortoise Said to Achilles and Other Riddles
2402(10)
Lewis Carroll
Continuity: Commentary
2410(2)
The Lever of Mahomet
2412(4)
Richard Courant
Herbert Robbins
Games and Puzzles:Commentary
2414(2)
Pastimes of Past and Present Times
2416(23)
Edward Kasner
James R. Newman
Arithmetical Restorations
2439(5)
W. W. Rouse Ball
The Seven Seven's
2444(6)
W. E. H. Berwick
Commentary
2449(1)
Thomas John I'Anson Bromwich
Easy Mathematics and Lawn Tennis
2450(6)
T. J. I'A. Bromwich
Commentary
2455(1)
Stephen Butler Leacock
Mathematics for Golfers
2456(4)
Stephen Leacock
Common Sense and the Universe
2460(9)
Stephen Leacock
Index 2469

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