| 书目名称 | The Tower of Hanoi – Myths and Maths | | 编辑 | Andreas M. Hinz,Sandi Klavžar,Ciril Petr | | 视频video | | | 概述 | The first comprehensive monograph on the topic.Thorough presentation of the historical development.Numerous attractive figures and original photos.Connections to various mathematical fields and applic | | 图书封面 |  | | 描述 | .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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 Sierpiński 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 Fram | | 出版日期 | Book 2013 | | 关键词 | Chinese Rings; Frame-Stewart conjecture; Gray code; History of puzzles; Sierpiński triangle; Tower of Lon | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0237-6 | | isbn_softcover | 978-3-0348-0769-2 | | isbn_ebook | 978-3-0348-0237-6 | | copyright | Springer Basel 2013 |
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发表于 2025-3-21 20:08:10
