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Across the Board: The Mathematics of Chessboard Problems
 
 
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Across the Board: The Mathematics of Chessboard Problems (Hardcover)

by John J. Watkins (Author) "This book is about the chessboard..." (more)
Key Phrases: knights graph, bishops graph, kings domination number, Muhammad ibn Muhammad, Bruijn's Theorem, Martin Gardner (more...)
1.0 out of 5 stars See all reviews (1 customer review)

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Customers buy this book with Speedsolving the Cube: Easy-to-Follow, Step-by-Step Instructions for Many Popular 3-D Puzzles by Dan Harris

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Editorial Reviews

From Booklist
Here is a chess book that homes in on the properties of the chessboard itself. College professor Watkins informs readers that the chessboard and chess pieces can be analyzed in terms of graph theory, which has real-world relevance--to the structure of communications networks, for example. And Watkins indeed sets up his tour of chess-qua-graph theory as a collection of problems to be solved, and theorems to be proven, all on the difficulty level one encounters in Scientific American's popular feature "Mathematical Games." When he was a teenager, comments Watkins, that column alerted him to the chessboard's mathematical intricacies, which encompass the number of squares a piece can move to or control, with variations extending to boards of different sizes and shapes. 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. Gilbert Taylor
Copyright © American Library Association. All rights reserved

Review
Watkins' invitational tone ensures attention from the finite but enthusiastic audience for mathematical recreation. -- Booklist

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Product Details

  • Hardcover: 272 pages
  • Publisher: Princeton University Press (March 1, 2004)
  • Language: English
  • ISBN-10: 0691115036
  • ISBN-13: 978-0691115030
  • Product Dimensions: 9.2 x 6.9 x 1 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 1.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.com Sales Rank: #1,476,811 in Books (See Bestsellers in Books)

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21 of 31 people found the following review helpful:
1.0 out of 5 stars no breadth, June 19, 2004
By A Customer
The book should have been subtitled
'knight's tours' (=hamiltonian paths).
It includes endless variations on this
theme (and little else) e.g. tours on
nonplanar surfaces - even ones that only
exist in theory! The book really amounts
to little more than a monograph on hamiltonian
paths - a subject for specialists only since
there are no useful general theorems in this
notoriously difficult topic.
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