{"product_id":"across-the-board-the-mathematics-of-chessboard-problems-9780691154985","title":"Across the Board: The Mathematics of Chessboard Problems","description":"\u003cp\u003e\u003ci\u003eAcross the Board\u003c\/i\u003e 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? \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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. \u003cp\u003e\u003c\/p\u003e Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, \u003ci\u003eAcross the Board\u003c\/i\u003e will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-11964851\"\u003eJohn J. Watkins\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/22\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 272\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.30h x 5.50w x 0.80d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9780691154985\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 0691154988\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-GAM\"\u003eGames \u0026amp; Activities\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-GAM001030\"\u003eChess\u003c\/a\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT003000\"\u003eApplied\u003c\/a\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT025000\"\u003eRecreations \u0026amp; Games\u003c\/a\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eJohn J. Watkins\u003c\/b\u003e is professor emeritus of mathematics at Colorado College. An award-winning teacher, he is the author of \u003ci\u003eTopics in Commutative Ring Theory\u003c\/i\u003e (Princeton) and coauthor of \u003ci\u003eGraphs: An Introductory Approach\u003c\/i\u003e.\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":42668475973869,"sku":"9780691154985","price":18.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_b4030ac0-f819-416e-806a-9bb2685edeb7.jpg?v=1649455439","url":"https:\/\/sureshotbooks.com\/products\/across-the-board-the-mathematics-of-chessboard-problems-9780691154985","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}