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Chess Strategy
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Across the Board: The Mathematics of Chessboard Problems
John J. Watkins
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.
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$46.00
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On sale chess strategy books
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Modern Chess Strategy
Ludek Pachman,Allen S. Russell
Modern classic offers thorough, systematic analysis of the use of the queen, active king, exchanges, seven different uses of pawns, minority attack,... [read more]
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$12.95
Sale! $10.36 |
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My System: 21st Century Edition
Aron Nimzowitsch, Lou Hays
One of the most important and entertaining chess books ever written, Nimzovich's dry sense of humor pervades this masterwork. Passed pawns are... [read more]
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$17.50
Sale! $14.95 |
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Play Winning Chess
Yasser Seirawan
An introduction to the moves, strategies, and philosophy of chess, with clear explanations of the games fundamentals, instructive examples, question-and-answer sections, sample... [read more]
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$26.95
Sale! $17.79 |
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The Art of the Middle Game
Paul Keres,Alexander Kotov
Superb guide to neglected area of chess. Two formidable grandmasters cover attacking the king, defense, importance of pawn structure, analysis, much more.... [read more]
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$10.95
Sale! $8.76 |
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How to Beat Bobby Fischer
Edmar Mednis
Even chess legend Bobby Fischer occasionally lost matches, and his rare defeats offer valuable lessons for ordinary players. This intriguing collection, compiled... [read more]
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$12.95 |
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Teach Yourself Better Chess
William Hartson
This title is perfect for chess players looking to improve their game. Through Elementary, Advanced, and Master sections, the reader is guided... [read more]
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$9.95 |
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