The Resource Across the Board: The Mathematics of Chessboard Problems : the Mathematics of Chessboard Problems, John J. Watkins
Across the Board: The Mathematics of Chessboard Problems : the Mathematics of Chessboard Problems, John J. Watkins
 Summary
 Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itselfthat 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
 Language
 eng
 Edition
 Course book
 Extent
 1 online resource (272 pages)
 Contents

 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
 Frontmatter
 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
 Isbn
 9781400840922
 Label
 Across the Board: The Mathematics of Chessboard Problems : the Mathematics of Chessboard Problems
 Title
 Across the Board: The Mathematics of Chessboard Problems
 Title remainder
 the Mathematics of Chessboard Problems
 Statement of responsibility
 John J. Watkins
 Language
 eng
 Summary
 Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itselfthat 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
 Biographical or historical data
 WatkinsJohn J.: John J. Watkins is professor emeritus of mathematics at Colorado College. An awardwinning teacher, he is the author of Topics in Commutative Ring Theory (Princeton) and coauthor of Graphs: An Introductory Approach
 Cataloging source
 COO
 Dewey number

 793.74
 793.74
 Illustrations
 illustrations
 Index
 no index present
 Language note
 In English
 LC call number

 QA95
 QA95
 LC item number
 .W35 2004eb
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Princeton Puzzlers
 Label
 Across the Board: The Mathematics of Chessboard Problems : the Mathematics of Chessboard Problems, John J. Watkins
 Antecedent source
 not applicable
 http://library.link/vocab/branchCode

 net
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 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
 Frontmatter
 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
 Control code
 ocn973400191
 Dimensions
 unknown
 Edition
 Course book
 Extent
 1 online resource (272 pages)
 Form of item
 online
 Isbn
 9781400840922
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1515/9781400840922
 Other physical details
 illustrations
 http://library.link/vocab/recordID
 .b33099765
 Specific material designation
 remote
 System control number

 (OCoLC)973400191
 pebcs1400840929
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.deakin.edu.au/portal/AcrosstheBoardTheMathematicsofChessboard/pBjPclGYwDQ/" typeof="CreativeWork http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.deakin.edu.au/portal/AcrosstheBoardTheMathematicsofChessboard/pBjPclGYwDQ/">Across the Board: The Mathematics of Chessboard Problems : the Mathematics of Chessboard Problems, John J. Watkins</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.library.deakin.edu.au/#Deakin%20University%20Library"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.deakin.edu.au/">Deakin University Library</a></span></span></span></span></div>