Across the Board: The Mathematics of Chessboard Problems

Across the Board: The Mathematics of Chessboard Problems

2004 | ISBN: 0691115036, 0691130620, 0691154988 | English | 272 Pages | True PDF | 7 MB

cross the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself¨Cthat 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.


[Fast Download] Across the Board: The Mathematics of Chessboard Problems

Ebooks related to "Across the Board: The Mathematics of Chessboard Problems" :
Math Doesn't Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail
Engineering Mathematics, 8th Edition
Conducting School-Based Functional Behavioral Assessments, Second Edition: A Practitioner's Guide
Promoting Executive Function in the Classroom
Coaching Students with Executive Skills Deficits
Postcolonial Contraventions: Cultural Readings of Race, Imperialism and Transnationalism
Cooking with Seeds
The Biogeography of Host-Parasite Interactions
Quantifying Life: A Symbiosis of Computation, Mathematics, and Biology
Learn The Guitar
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.