Winning Ways for your Mathematical PlaysWinning Ways for your Mathematical Plays
by Elwyn Berlekamp, John Conway
, and Richard Guy is a compendium of information on mathematical games
. It was first published in 1982
in two volumes, one focusing on Conway's game theory and surreal numbers
, and the other concentrating on a number of specific games.
A republication of the work by A K Peters splits the content into four volumes.
Along with analysis of various extant games, and analysis of game theory in general, Winning Ways describes a number of new games, many of which are popular today. Examples of this type include Sprouts and Philosopher's Football. They also analyzed Dots and Boxes and a number of Nim variations.
Along with games both common and uncommon, the authors of Winning Ways analyzed a number of puzzles, including Soma and Rubik's Cube.
See also Combinatorial game theory.