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

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.

Humor & Entertainment

John J. Watkins

Puzzles & Games

Princeton University Press

A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing

See the best price to sell, buy, or rent books by John J. Watkins. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by John J. Watkins

See the best price to sell, buy, or rent books by John J. Watkins. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

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

A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing