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

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 around the globe. And, extra importantly, the attention-grabbing arithmetic in the back of it. From the Knight's travel challenge and Queens Domination to their many diversifications, John Watkins surveys all of the recognized difficulties during this unusually fertile region of leisure arithmetic. Can a knight persist with a course 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 extensive from its ancient perception via to its prestige this day. Many attractive recommendations have emerged for easy chessboard difficulties due to the fact that mathematicians first started engaged on them in earnest over 3 centuries in the past, yet such difficulties, together with these regarding polyominoes, have now been prolonged to three-d chessboards or even chessboards on strange surfaces equivalent to toruses (the similar of taking part in 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 study in arithmetic. through fixing a few of the many routines sprinkled all through, the reader can proportion absolutely within the pleasure of discovery.

Showing that chess puzzles are the start line for very important 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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Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) by John J. Watkins

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