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 world wide. And, extra importantly, the attention-grabbing arithmetic in the back of it. From the Knight's travel challenge and Queens Domination to their many adaptations, John Watkins surveys all of the recognized difficulties during this strangely fertile region of leisure arithmetic. Can a knight stick 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 through one of many queens?
Each major subject is taken care of intensive from its historic perception via to its prestige this present day. Many attractive ideas have emerged for simple chessboard difficulties in view 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 corresponding to toruses (the an identical of enjoying chess on a doughnut) and cylinders. utilizing the hugely visible language of graph idea, Watkins lightly courses the reader to the leading edge of present examine in arithmetic. through fixing a number of the many routines sprinkled all through, the reader can percentage totally within the pleasure of discovery.
Showing that chess puzzles are the start line for vital mathematical rules 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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Around 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 in the back of it. From the Knight's journey challenge and Queens Domination to their many adaptations, John Watkins surveys the entire famous difficulties during this unusually fertile quarter of leisure arithmetic.
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