Summer Reading B2G1 Free
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Lists | July 16, 2015

    Annie Liontas: IMG "You Want Me to Smell My Fingers?": Five Unforgettable Greek Idioms



    The word "idiom" originates in the Greek word ídios ("one's own") and means "special feature" or "special phrasing." Idioms are peculiar because,... Continue »
    1. $18.20 Sale Hardcover add to wish list

      Let Me Explain You

      Annie Liontas 9781476789088

    spacer
Qualifying orders ship free.
$9.50
List price: $18.95
Sale Hardcover
Ships in 1 to 3 days
Add to Wishlist
Qty Store Section
1 Hawthorne Mathematics- General

This title in other editions

Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)

by

Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

"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

Synopsis:

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.

About the Author

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.

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

Product Details

ISBN:
9780691154985
Subtitle:
The Mathematics of Chessboard Problems
Author:
Watkins, John J
Author:
Watkins, John J.
Publisher:
Princeton University Press
Subject:
Recreations & Games
Subject:
Mathematics
Subject:
Popular science
Subject:
GAMES / Chess
Copyright:
Edition Description:
Trade paper
Series:
Princeton Puzzlers
Publication Date:
20120722
Binding:
Electronic book text in proprietary or open standard format
Language:
English
Illustrations:
204 line illus.
Pages:
272
Dimensions:
8.5 x 5.5 in

Other books you might like

  1. Einstein: His Life and Universe
    Used Hardcover $5.50
  2. Palindromes and Anagrams Used Trade Paper $5.95

Related Subjects

History and Social Science » Politics » General
Hobbies, Crafts, and Leisure » Games » Chess
Science and Mathematics » Featured Titles in Tech » Mathematics & Physics
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Games and Puzzles
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Popular Surveys and Recreational

Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) Sale Hardcover
0 stars - 0 reviews
$9.50 In Stock
Product details 272 pages Princeton University Press - English 9780691154985 Reviews:
"Synopsis" by , "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

"Synopsis" by , 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.

spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.