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 easy 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 zone 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 via one of many queens?
Each major subject is taken care of intensive from its ancient notion via to its prestige this present day. Many attractive suggestions have emerged for simple 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 regarding polyominoes, have now been prolonged to 3-dimensional chessboards or even chessboards on strange surfaces similar to toruses (the identical of taking part in chess on a doughnut) and cylinders. utilizing the hugely visible language of graph thought, Watkins lightly courses the reader to the vanguard of present examine in arithmetic. by means of fixing the various many workouts sprinkled all through, the reader can proportion totally within the pleasure of discovery.
Showing that chess puzzles are the place to begin 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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Extra 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