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

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
Creator
Author
Subject
Genre
Language
eng
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 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 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 three-dimensional 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
Member of
Biographical or historical data
WatkinsJohn J.: John J. Watkins is professor emeritus of mathematics at Colorado College. An award-winning teacher, he is the author of Topics in Commutative Ring Theory (Princeton) and coauthor of Graphs: An Introductory Approach
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
Publication
Antecedent source
not applicable
• 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
.b33099765
Specific material designation
remote
System control number
• (OCoLC)973400191
• pebcs1400840929

#### Library Locations

• Deakin University Library - Geelong Waurn Ponds Campus
75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
-38.195656 144.304955