Ref: c3062

Review:

"Torus-shaped boards, three-dimensional boards, a shape called the Klein bottle--the simple checkerboard pattern proves to be creatively malleable when Watkins puts his mind to his hobbylike subject. Watkins' invitational tone ensures attention from the finite but enthusiastic audience for mathematical recreation."--Booklist

Endorsements:

"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

Table of 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

"Torus-shaped boards, three-dimensional boards, a shape called the Klein bottle--the simple checkerboard pattern proves to be creatively malleable when Watkins puts his mind to his hobbylike subject. Watkins' invitational tone ensures attention from the finite but enthusiastic audience for mathematical recreation."--Booklist

Endorsements:

"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

Table of 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