Across the board : the mathematics of chessboard problems
 Author/Creator
 Watkins, John J. author.
 Language
 English.
 Edition
 Paperback reissue, for the Princeton puzzlers series.
 Publication
 Princeton ; Oxford : Princeton University Press, 2012.
 Copyright notice
 ©2004
 Physical description
 x, 257 pages : illustrations ; 22 cm.
 Series
 Princeton puzzlers.
Access
Available online

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QA95 .W35 2012
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Contents/Summary
 Bibliography
 Includes bibliographical references (pages 247249) and index.
 Contents

 Preface ix Chapter One Introduction 1 Chapter Two Knight's Tours 25 Chapter Three The Knight's Tour Problem 39 Chapter Four Magic Squares 53 Chapter Five The Torus and the Cylinder 65 Chapter Six The Klein Bottle and Other Variations 79 Chapter Seven Domination 95 Chapter Eight Queens Domination 113 Chapter Nine Domination on Other Surfaces 139 Chapter Ten Independence 163 Chapter Eleven Other Surfaces, Other Variations 191 Chapter Twelve Eulerian Squares 213 Chapter Thirteen Polyominoes 223 References 247 Index 251.
 (source: Nielsen Book Data)
 Publisher's Summary
 "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 wellknown 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 threedimensional 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.
(source: Nielsen Book Data)  Supplemental links

Publisher description
Table of contents
Contributor biographical information
Subjects
Bibliographic information
 Publication date
 2012
 Copyright date
 2004
 Responsibility
 John J. Watkins.
 Series
 Princeton puzzlers
 ISBN
 9780691154985 (pbk.)
 0691154988 (pbk.)