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 around the globe. 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 all of the recognized difficulties during this strangely fertile region of leisure arithmetic. Can a knight keep on with a direction that covers each sq. as soon as, finishing at the beginning sq.? what percentage queens are wanted in order that each sq. is concentrated or occupied by way of one of many queens?
Each major subject is taken care of extensive from its old belief via to its prestige at the present time. Many appealing suggestions have emerged for simple chessboard difficulties on account 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 three-d chessboards or even chessboards on strange surfaces equivalent to toruses (the identical of enjoying chess on a doughnut) and cylinders. utilizing the hugely visible language of graph conception, Watkins lightly courses the reader to the leading edge of present examine in arithmetic. through fixing a number of the 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 very important mathematical principles 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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