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| Author | Elwyn R. Berlekamp,John H. Conway, andRichard K. Guy |
|---|---|
| Language | English |
| Genre | Non-fiction |
| Publisher | Academic Press |
Publication date | 1982 |
| Publication place | United States |
| ISBN | 0-12-091150-7 |
Winning Ways for Your Mathematical Plays (Academic Press, 1982) byElwyn R. Berlekamp,John H. Conway, andRichard K. Guy is a compendium of information onmathematical games. It was first published in 1982 in two volumes.
The first volume introducescombinatorial game theory and its foundation in thesurreal numbers;partizan andimpartial games;Sprague–Grundy theory andmisère games. The second volume applies the theorems of the first volume to many games, includingnim,sprouts,dots and boxes,Sylver coinage,philosopher's phutball,fox and geese. A final section on puzzles analyzes theSoma cube,Rubik's Cube,peg solitaire, andConway's Game of Life.
A republication of the work byA K Peters split the content into four volumes.
This is a partial list of the games mentioned in the book.
Note:Misère games not included