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ISBN10: 3034807694, ISBN13: 9783034807692, [publisher: Springer, Basel, Springer Basel, Birkhäuser] Softcover Druck auf Anfrage Neuware - Printed after ordering - This is the first comprehensive monograph on the mathematical theory of the solitaire game 'The Tower of Hanoi' which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the game's predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpinski graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the 'Tower of London', are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supportin ...
ISBN10: 3034807694, ISBN13: 9783034807692, [publisher: Springer, Basel, Springer Basel, Birkhäuser] Softcover Druck auf Anfrage Neuware - Printed after ordering - This is the first comprehensive monograph on the mathematical theory of the solitaire game 'The Tower of Hanoi' which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the game's predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpinski graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the 'Tower of London', are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supportin ...
Hinz, Andreas M., Klavar, Sandi, Milutinovic, Uro, Petr, C
USD
137.84
Mispah books /AbebooksUK
ISBN10: 3034807694, ISBN13: 9783034807692, [publisher: Birkhäuser] Softcover Like New [Redhill, SURRE, United Kingdom] [Publication Year: 2015]
DISCLOSURE:
When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission at no extra cost to you. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network, Amazon and Alibris.