The Tower of Hanoi - Myths and Maths,9783034802369

The Tower of Hanoi - Myths and Maths

by ; ; ; ;
ISBN13: 9783034802369
ISBN10: 3034802366
Format: Hardcover
Pub. Date: 2013-01-31
Publisher(s): Birkhauser
List Price: $49.99

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Summary

This is the first comprehensive monograph on the mathematical theory of the solitaire game The Tower of Hanoi. It comprises a survey of the historical development from its invention in 1883 by the French number theorist Ã0douard Lucas to recent research in mathematics and applications in computer science and psychology. For instance, the so-called Frame-Stewart conjecture is an open problem since almost 70 years and shows the timeliness of the topic. The book contains a thorough presentation of the essential mathematical results with complete proofs. The main objects of research today are the so-called Hanoi graphs and the related SierpiÅ ;ski graphs. The latter have been introduced by Sandi Klavžar und UroÅ¡ MilutinoviÄ!. Algorithms (with proofs of correctness) will be an essential part of the book, because of the great popularity of the topic in computer science. In view of the most important practical application of The Tower of Hanoi and related puzzles, namely in cognitive (neuro-)psychology, we will also address variants employed in test tools and analyze their mathematical structure.

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