Winning Ways for your Mathematical Plays
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Category:1982 books
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Winning Ways for your Mathematical Plays (Academic Press, 1982) by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games. It was first published in 1982 in two volumes.
The first volume introduces combinatorial game theory and its foundation in the surreal numbers; partizan and impartial games; Sprague-Grundy theory and misère games. The second volume applies the theorems of the first volume to many games, including nim, sprouts, dots and boxes, Sylver coinage, philosopher's football, fox and geese. A final section on puzzles analyzes the Soma cube, Rubik's Cube, peg solitaire, and Conway's game of life.
A republication of the work by A K Peters splits the content into four volumes.
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Editions
- 1st edition (Academic Press, 1982): ISBN 0120911019, ISBN 0120911027.
- 2nd edition (A K Peters Ltd., 2001-4): ISBN 1568811306, ISBN 156881142X, ISBN 1568811438, ISBN 1568811446.
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