Across the Board: The Mathematics of Chessboard Problems - download pdf or read online

By John J. Watkins

ISBN-10: 0691115036

ISBN-13: 9780691115030

ISBN-10: 0691154988

ISBN-13: 9780691154985

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 all over the world. 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 unusually fertile zone of leisure arithmetic. Can a knight keep on 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 handled extensive from its historic perception via to its prestige this present day. Many attractive ideas have emerged for easy chessboard difficulties because mathematicians first begun 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 3-dimensional chessboards or even chessboards on strange surfaces comparable to toruses (the an identical of taking part in chess on a doughnut) and cylinders. utilizing the hugely visible language of graph idea, Watkins lightly publications the reader to the vanguard of present learn in arithmetic. via fixing a few of the many routines sprinkled all through, the reader can percentage totally 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.

Show description

Read or Download Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers) PDF

Best board games books

Download PDF by Drazen Marovic: Understanding Pawn Play in Chess

"The ebook will be a fantastic research significant other for an enhancing newbie or a regular membership play who desires to enhance his/her dealing with of pawn buildings" - Alan Sutton, En Passant Chess owes its notable intensity to pawns. those humble items can tackle many jobs within the chess fight. they are often blockers, battering-rams, self-sacrificing heroes, and will also be promoted to the ranks of royalty.

Read e-book online Geheimnisse moderner Schacheröffnungen Band 1 (German PDF

". .. scheint das Zeug dazu zu haben, ein weiterer Watson-Klassiker zu werden! " - New in ChessFür viele Schachspieler bedeutet das Studium der Eröffnungstheorie äußerst harte Arbeit. Es ist schwierig zu wissen, used to be wichtig ist und used to be nicht, wann spezielles Wissen unerlässlich ist, oder wann ein eher generelles Verständnis gefragt ist.

Download e-book for iPad: Chess Success: Planning After the Opening (Batsford Chess) by Neil McDonald

There are many chess books that disguise openings, yet now not such a lot of that inform you what to do subsequent. each participant has encountered difficulties as soon as the hole part of the sport has ended, and this ebook offers solutions.

Deep Thinking: Where Machine Intelligence Ends and Human - download pdf or read online

In could 1997, the area watched as Garry Kasparov, the best chess participant on the earth, was once defeated for the 1st time by means of the IBM supercomputer Deep Blue. It used to be a watershed second within the historical past of know-how: computer intelligence had arrived on the element the place it may well top human mind. It wasn't a twist of fate that Kasparov grew to become the emblem of man's struggle opposed to the machines.

Extra info for Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)

Example text

Download PDF sample

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


by Charles
4.1

Rated 4.90 of 5 – based on 17 votes