"This beautiful book is absolutely the best treatment of the connection between chess and recreational mathematics I have ever seen. What makes it stand apart (and far above) other chess puzzle books is the underlying mathematical theory, presented in an entertaining, fascinating, and educational manner."--Paul J. Nahin, author of When Least Is Best
"Watkins has a friendly writing style, and the reader is brought along nicely from simple concepts to slightly more complicated ones."--Ron Graham, 2003 Steele Prize for Lifetime Achievement, American Mathematical Society, and President, Mathematical Association of America
Inhaltsverzeichnis
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
