Across the Board is not simply about chess but the chessboard itself and the fascinating mathematics behind it. John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago. But now such problems have 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. Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.
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John J. Watkins is professor emeritus of mathematics at Colorado College. An award-winning teacher, he is the author of Topics in Commutative Ring Theory (Princeton) and coauthor of Graphs: An Introductory Approach.
"This beautiful book is absolutely the best treatment of the connection between chess and recreational mathematics I have ever seen. What makes it stand apart (and far above) other chess puzzle books is the underlying mathematical theory, presented in an entertaining, fascinating, and educational manner."--Paul J. Nahin, author of When Least Is Best
"Watkins has a friendly writing style, and the reader is brought along nicely from simple concepts to slightly more complicated ones."--Ron Graham, 2003 Steele Prize for Lifetime Achievement, American Mathematical Society, and President, Mathematical Association of America
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