By John J. Watkins
Across the Board is the definitive paintings on chessboard difficulties. it's not easily approximately chess however the chessboard itself--that basic grid of squares so universal to video games worldwide. And, extra importantly, the interesting arithmetic at the back of it. From the Knight's travel challenge and Queens Domination to their many adaptations, John Watkins surveys all of the famous difficulties during this unusually fertile zone of leisure arithmetic. Can a knight persist with a course that covers each sq. as soon as, finishing at the beginning sq.? what number queens are wanted in order that each sq. is focused or occupied by way of one of many queens?
Each major subject is taken care of extensive from its old perception via to its prestige this present day. Many appealing ideas have emerged for easy chessboard difficulties seeing that mathematicians first started engaged on them in earnest over 3 centuries in the past, yet such difficulties, together with these related to polyominoes, have now been prolonged to third-dimensional chessboards or even chessboards on strange surfaces akin to toruses (the an identical of enjoying chess on a doughnut) and cylinders. utilizing the hugely visible language of graph conception, Watkins lightly publications the reader to the leading edge of present study in arithmetic. via fixing many of the many routines sprinkled all through, the reader can proportion totally within the pleasure of discovery.
Showing that chess puzzles are the start line for very important mathematical rules that experience resonated for hundreds of years, Across the Board will captivate scholars and teachers, mathematicians, chess lovers, and puzzle devotees.
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Additional resources for Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)
Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) by John J. Watkins