Download e-book for iPad: Across the Board: The Mathematics of Chessboard Problems by John J. Watkins

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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 around the globe. And, extra importantly, the attention-grabbing 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 region of leisure arithmetic. Can a knight persist with 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 by way of one of many queens?

Each major subject is handled intensive from its ancient perception via to its prestige this day. Many appealing recommendations have emerged for easy chessboard difficulties due to the fact that mathematicians first begun engaged on them in earnest over 3 centuries in the past, yet such difficulties, together with these concerning polyominoes, have now been prolonged to three-d chessboards or even chessboards on strange surfaces resembling toruses (the an identical of taking part in chess on a doughnut) and cylinders. utilizing the hugely visible language of graph conception, Watkins lightly publications the reader to the vanguard of present examine in arithmetic. through fixing many of the many workouts sprinkled all through, the reader can percentage absolutely within the pleasure of discovery.

Showing that chess puzzles are the place to begin for vital mathematical rules that experience resonated for hundreds of years, Across the Board will captivate scholars and teachers, mathematicians, chess fans, and puzzle devotees.

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Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) by John J. Watkins

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