Across the Board

Across the Board
Author :
Publisher : Princeton University Press
Total Pages : 270
Release :
ISBN-10 : 9781400840922
ISBN-13 : 1400840929
Rating : 4/5 (929 Downloads)

Book Synopsis Across the Board by : John J. Watkins

Download or read book Across the Board written by John J. Watkins and published by Princeton University Press. This book was released on 2011-09-19 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Across the Board Related Books

Across the Board
Language: en
Pages: 270
Authors: John J. Watkins
Categories: Mathematics
Type: BOOK - Published: 2011-09-19 - Publisher: Princeton University Press

GET EBOOK

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
Mathematics and Chess
Language: en
Pages: 164
Authors: Miodrag Petkovi?
Categories: Mathematics
Type: BOOK - Published: 1997-01-01 - Publisher: Courier Corporation

GET EBOOK

99 puzzles built around the chessboard. Arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, m
The Chess Mysteries of Sherlock Holmes
Language: en
Pages: 194
Authors: Raymond M. Smullyan
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: Courier Corporation

GET EBOOK

Join Holmes and Watson as they examine interrupted games to deduce prior moves. A series of increasingly complex chess mysteries culminates in a double murder p
Music and Chess
Language: en
Pages: 395
Authors: Achilleas Zographos
Categories: Games & Activities
Type: BOOK - Published: 2017-11-03 - Publisher: SCB Distributors

GET EBOOK

A Most Fascinating Journey! It has long been recognized that there are only three major areas of human endeavor which produce prodigies: music, chess and mathem
Chess 4 Math
Language: en
Pages: 210
Authors: Ramón Miguel Lorente Pupo
Categories: Education
Type: BOOK - Published: 2018-02-04 - Publisher: Chess4math.LLC

GET EBOOK

Chess 4 Math, kindergarten textbook is the beginning of an incredible journey that offers the opportunity to kindergarteners to learn Mathematics through the "R