Combinatorial Games

Front Cover
Richard K. Guy
American Mathematical Soc. - Mathematics - 233 pages
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Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings in Columbus in August 1990, the ten papers in this volume will provide readers with insight into this exciting field. Because the book requires very little background, it will likely find a wide audience that includes the amateur interested in playing games, the undergraduate looking for a new area of study, instructors seeking a refreshing area in which to give new courses at both the undergraduate and graduate levels, and graduate students looking for a variety of research topics.
 

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Contents

What is a Game?
1
Numbers and Games
23
Impartial Games
35
More Ways of Combining Games
57
Introductory Overview of Mathematical Go Endgames
73
Games and Codes
101
Complexity of Games
111
Welters game Sylver Coinage DotsandBoxes
155
Unsolved Problems in Combinatorial Games
183
Selected Bibliography on Combinatorial Games and Some Related Material
191
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