| Document Type
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BL
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| Record Number
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879840
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| Main Entry
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Watkins, John J.
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| Title & Author
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Across the board : : the mathematics of chessboard problems /\ John J. Watkins.
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| Publication Statement
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Princeton :: Princeton University Press,, ©2004.
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| Page. NO
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1 online resource (x, 257 pages) :: illustrations
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| ISBN
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1400840929
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: 9781400840922
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0691115036
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0691130620
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9780691130620
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| Bibliographies/Indexes
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Includes bibliographical references (pages 247-249) and index.
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| Contents
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Cover; Contents; Preface; Chapter One: Introduction; Chapter Two: Knight's Tours; Chapter Three: The Knight's Tour Problem; Chapter Four: Magic Squares; Chapter Five: The Torus and the Cylinder; Chapter Six: The Klein Bottle and Other Variations; Chapter Seven: Domination; Chapter Eight: Queens Domination; Chapter Nine: Domination on Other Surfaces; Chapter Ten: Independence; Chapter Eleven: Other Surfaces, Other Variations; Chapter Twelve: Eulerian Squares; Chapter Thirteen: Polyominoes; References; Index
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| Abstract
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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.
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| Subject
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Chess.
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| Subject
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Mathematical recreations.
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| Subject
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Chess.
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| Subject
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GAMES-- Sudoku.
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| Subject
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Mathematical recreations.
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| Subject
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MATHEMATICS-- Applied.
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| Subject
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MATHEMATICS-- Recreations Games.
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| Dewey Classification
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793.74
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| LC Classification
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QA95.W35 2004eb
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