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Across the Board

$18.95
| £12.33 | €15.68 | Ca$22.09 | Au$22.37
by John J. Watkins
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Across the Board by 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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Ebook Details
Pages: 272
Size: 7.0 MB
Publisher: Princeton University Press
Date published:  Sep 2011
ISBN: 9781400840922

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This product is listed in the following categories:

Games > Chess
Games > Puzzles, Logic & Brain Teasers
Nonfiction > Mathematics > Recreations & Games

This author has products in the following categories:

Nonfiction > Music
Nonfiction > Music > Instruction & Study > Conducting
Nonfiction > Music > Instruction & Study > Techniques
Nonfiction > Mathematics > Algebra > Abstract
Games > Chess
Games > Puzzles, Logic & Brain Teasers
Nonfiction > Mathematics > Recreations & Games
Nonfiction > Mathematics > Combinatorics

If you find anything wrong with this product listing, perhaps the description is wrong, the author is incorrect, or it is listed in the wrong category, then please contact us. We will promptly address your feedback.
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