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? ...
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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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Add this copy of Across the Board: the Mathematics of Chessboard to cart. $4.94, fair condition, Sold by Blue Vase Books rated 5.0 out of 5 stars, ships from Interlochen, MI, UNITED STATES, published 2004 by Princeton University Press.
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Fair. The item is very worn but is perfectly usable. Signs of wear can include aesthetic issues such as scratches dents worn and creased covers folded page corners and minor liquid stains. All pages and the cover are intact but the dust cover may be missing. Pages may include moderate to heavy amount of notes and highlighting but the text is not obscured or unreadable. Page edges may have foxing age related spots and browning. May NOT include discs access code or other supplemental materials.
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $5.99, good condition, Sold by One Planet Books rated 5.0 out of 5 stars, ships from Columbia, MO, UNITED STATES, published 2012 by Princeton University Press.
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Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing and/or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes).
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $6.54, fair condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2004 by Princeton University Press.
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $8.00, like new condition, Sold by Dunaway Books rated 4.0 out of 5 stars, ships from Saint Louis, MO, UNITED STATES, published 2004 by Princeton University Press.
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Fine in Fine jacket. First edition. Pages are very clean and bright with no markings. Binding is tight and square. Correct number key. Trivial shelving wear.
Add this copy of Across the Board: The Mathematics of Chessboard to cart. $8.43, good condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2012 by Princeton University Press.
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Good. Trade paperback (US). Glued binding. 272 p. Princeton Puzzlers. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $8.58, new condition, Sold by Academybookshop rated 5.0 out of 5 stars, ships from Long Island City, NY, UNITED STATES, published 2007 by Princeton University Press.
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $8.89, very good condition, Sold by Goodbookscafe rated 3.0 out of 5 stars, ships from Macon, GA, UNITED STATES, published 2012 by Princeton University Press.
Add this copy of Across the Board: the Mathematics of Chessboard to cart. $10.00, very good condition, Sold by Best and Fastest Books rated 4.0 out of 5 stars, ships from Wantage, NJ, UNITED STATES, published 2007 by Princeton University Press.
