Proceedings of Symposia in Applied Mathematics Vol. 43 (series). AMS Short Course Lecture Notes Introductory Survey Lectures (subseries). xii, 233 p. 26 cm. B&w figures. Paperback. Ex library with labels on spine and front cover, ink stamps on top edge, first leaf, and title. Various authors on a variety of topics, like impartial games, combining games, complexity of games, games and codes, etc. Selected bibliography and index.

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Bibliographic Details

Title

Combinatorial Games

Publisher

American Mathematical Society

Publication Date

1990

ISBN 10

082180166X

ISBN 13

9780821801666

Binding

Softcover

Condition

ex library-very good

Seller catalogs

Science

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Synopsis

"The subject of combinatorics is only slowly acquiring respectability and combinatorial games will clearly take longer than the rest of combinatorics. Perhaps this partly stems from the puritanical view that anything amusing can't possibly involve any worthwhile mathematics." from the Preface. Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings , the ten papers in this volume will provide readers with insight into this exciting new field. (BULLET) In the opening paper, Guy contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. Conway introduces a new theory of numbers, which has emerged as a special case of the theory of games. Guy describes impartial games, with the same options for both players, and the Sprague-Grundy theory. Conway discusses a variety of ways in which games can be played simultaneously. Berlekamp uses the theory of "hot" games to make remarkable progress in the analysis of Go Endgames. Pless demostrates the close connection between several impartial games and error-correcting codes. Fraenkel explains the way in which complexity theory is very well illustrated by combinatorial games, which supply a plethora of examples of harder problems than most of those which have been considered in the past. Nowakowski outlines the theory of three particular games - Welter's Game, Sylver Coinage, and Dots-and-Boxes. A list of three dozen open problems and bibliography of 400 items are appended.

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