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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      Book details

      Publisher American Mathematical Society
      Published 8/30/2000 12:00:00 AM
      ISBN-13 9780821819258
      978-0821819258
      ISBN-10 0821819259
      Also in:
      Combinatorics and graph theory Discrete mathematics

      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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