The World of Mathematics, Volumen 4

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Courier Corporation, 1 ene. 2000 - 464 páginas
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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Índice

A Mathematicians Apology
2027
Mathematical Creation
2041
Commentary
2051
The Mathematician
2053
Mathematical Machines Can a Machine Think?
2065
The General and Logical Theory of Automata
2070
Can a Machine Think?
2099
A ChessPlaying Machine
2124
The Law
2268
Mathematics and Music
2273
Commentary
2274
Mathematics of Music
2278
Mathematics as a Culture Clue
2311
Commentary
2312
Meaning of Numbers
2315
The Locus of Mathematical Reality An Anthropological Footnote
2348

Mathematics in Warfare
2135
Commentary
2136
Mathematics in Warfare
2138
Commentary
2158
How to Hunt a Submarine
2160
A Mathematical Theory of Art
2181
Mathematics of Aesthetics
2185
Mathematics of the Good
2197
A Mathematical Approach to Ethics
2198
Mathematics in Literature
2209
Commentary
2210
Cycloid Pudding
2214
Commentary
2221
Young Archimedes
2223
Commentary
2250
Geometry in the South Pacific
2252
Commentary
2261
Inflexible Logic
2262
Amusements Puzzles Fancies
2365
Commentary
2366
Assorted Paradoxes
2369
Flatland
2385
Commentary
2397
What the Tortoise Said to Achilles and Other Riddles
2402
Commentary
2410
The Lever of Mahomet
2412
Commentary
2414
Pastimes of Past and Present Times
2416
I
2449
II
2450
IV
2455
V
2456
VII
2460
IX
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Sobre el autor (2000)

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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