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Combinatorial Games: Tic-Tac-Toe Theory (Encyclopedia of Mathematics and its Applications) Paperback – 28 Apr 2011


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Product details

  • Paperback: 748 pages
  • Publisher: Cambridge University Press; Reprint edition (28 April 2011)
  • Language: English
  • ISBN-10: 0521184754
  • ISBN-13: 978-0521184755
  • Product Dimensions: 15.6 x 3.7 x 23.4 cm
  • Average Customer Review: Be the first to review this item
  • Amazon Bestsellers Rank: 2,231,270 in Books (See Top 100 in Books)
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Product description

Review

'… this book is a milestone in Game Theory, it will become a classic …' Acta Scientiarum Mathematicarum

'… a most thorough and useful treatment of the subject (so far insufficiently presented in the literature) with an enormous store of results, links with other theories, and interesting open problems.' A. Pultr, Mathematical Reviews

'This seems to be the best and most useful treatment of the subject so far … The book is recommended for a broad mathematical audience. Almost all concepts from other parts of mathematics are explained so it is convenient both for the specialist seeking a detailed survey of the topic and for students hoping to learn something new about the subject. The book has a potential to become a milestone in the development of combinatorial game theory.' EMS Newsletter

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.

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