Description

Book Synopsis
Contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. This book introduces a theory of numbers, including infinitesimals and transfinite numbers, which has emerged as a special case of the theory of games. It also describes impartial games.

Table of Contents
What is a game? by R. K. Guy Numbers and games by J. H. Conway Impartial games by R. K. Guy More ways of combining games by J. H. Conway Introductory overview of mathematical go endgames by E. R. Berlekamp Games and codes by V. Pless Complexity of games by A. S. Fraenkel..., Welter's game, Sylver coinage, dots-and-boxes,... by R. J. Nowakowski Unsolved problems in combinatorial games by R. K. Guy Selected bibliography on combinatorial games and some related material by A. S. Fraenkel.

Combinatorial Games

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A Paperback by American Mathem American Mathem

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    View other formats and editions of Combinatorial Games by American Mathem American Mathem

    Publisher: MP-AMM American Mathematical
    Publication Date: 8/30/2000 12:00:00 AM
    ISBN13: 9780821819258, 978-0821819258
    ISBN10: 0821819259

    Description

    Book Synopsis
    Contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. This book introduces a theory of numbers, including infinitesimals and transfinite numbers, which has emerged as a special case of the theory of games. It also describes impartial games.

    Table of Contents
    What is a game? by R. K. Guy Numbers and games by J. H. Conway Impartial games by R. K. Guy More ways of combining games by J. H. Conway Introductory overview of mathematical go endgames by E. R. Berlekamp Games and codes by V. Pless Complexity of games by A. S. Fraenkel..., Welter's game, Sylver coinage, dots-and-boxes,... by R. J. Nowakowski Unsolved problems in combinatorial games by R. K. Guy Selected bibliography on combinatorial games and some related material by A. S. Fraenkel.

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