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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114) - Hardcover
Synopsis
Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, József Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Available for the first time in paperback, it includes a new appendix to address the results that have appeared since the book's original publication.
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Book Description
In this comprehensive volume, József Beck shows readers how to escape from the combinatorial chaos arising in the analysis of many games by using the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Striking results are obtained and new duality principles discovered.
About the Author
József Beck is a Professor in the Mathematics Department of Rutgers University. He has received the Fulkerson Prize for Research in Discrete Mathematics and has written around 100 research publications. He is the co-author, with W. L. Chen, of the pioneering monograph Irregularities of Distribution.
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521461006
- ISBN 13 9780521461009
- BindingHardcover
- LanguageEnglish
- Number of pages748
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Combinatorial games. tic-tac-toe theory.
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732 p. ill. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Encyclopedia of mathematics and Its applications, 114. Sprache: Englisch. Seller Inventory # 44886HB
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Encyclopedia of Mathematics and Its Applications: Combinatorial Games: Tic-Tac-Toe Theory (Volume 114)
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ISBN 10: 0521461006
ISBN 13: 9780521461009
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Condition: Good. Volume 114. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1300grams, ISBN:9780521461009. Seller Inventory # 3898003
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications)
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Combinatorial Games : Tic-tac-toe Theory
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
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ISBN 13: 9780521461009
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this comprehensive volume, Jozsef Beck shows readers how to escape from the combinatorial chaos arising in the analysis of many games by using the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Striki. Seller Inventory # 446936492
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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications, Series Number 114)
Published by
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ISBN 10: 0521461006
ISBN 13: 9780521461009
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Combinatorial Games : Tic-Tac-Toe Theory
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ISBN 10: 0521461006
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example tic-tac-toe, solitaire and hex. This is the subject of combinatorial game theory. Most board games are a challenge for mathematics: to analyze a position one has to examine the available options, and then the further options available after selecting any option, and so on. This leads to combinatorial chaos, where brute force study is impractical. In this comprehensive volume, József Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Seller Inventory # 9780521461009
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Combinatorial Games: Tic-Tac-Toe Theory (Hardcover)
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ISBN 10: 0521461006
ISBN 13: 9780521461009
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Hardcover. Condition: new. Hardcover. Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, Jozsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Available for the first time in paperback, it includes a new appendix to address the results that have appeared since the book's original publication. Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example tic-tac-toe, solitaire and hex. This is the subject of combinatorial game theory. Most board games are a challenge for mathematics: to analyze a position one has to examine the available options, and then the further options available after selecting any option, and so on. This leads to combinatorial chaos, where brute force study is impractical. In this comprehensive volume, Jozsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521461009
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