By John J. Watkins
Across the Board is the definitive paintings on chessboard difficulties. it isn't easily approximately chess however the chessboard itself--that uncomplicated 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 diversifications, John Watkins surveys the entire famous difficulties during this unusually fertile sector of leisure arithmetic. Can a knight stick to a direction that covers each sq. as soon as, finishing at the beginning sq.? what number queens are wanted in order that each sq. is concentrated or occupied through one of many queens?
Each major subject is handled intensive from its old notion via to its prestige this present day. Many appealing recommendations have emerged for simple chessboard difficulties due to the fact mathematicians first begun 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 identical of enjoying chess on a doughnut) and cylinders. utilizing the hugely visible language of graph concept, Watkins lightly publications the reader to the leading edge of present learn in arithmetic. by way of fixing the various many workouts sprinkled all through, the reader can proportion absolutely within the pleasure of discovery.
Showing that chess puzzles are the place to begin for vital mathematical principles that experience resonated for hundreds of years, Across the Board will captivate scholars and teachers, mathematicians, chess fanatics, and puzzle devotees.
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Additional info 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