| 書目名稱 | The Tower of Hanoi – Myths and Maths | | 編輯 | Andreas M. Hinz,Sandi Klav?ar,Ciril Petr | | 視頻video | http://file.papertrans.cn/922/921303/921303.mp4 | | 概述 | Updated Edition of the first comprehensive monograph on the topic.Contains new material and a thorough presentation of the historical development.Numerous attractive figures and original photos.Connec | | 圖書封面 |  | | 描述 | .The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French number theorist édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. 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, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants..The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the “The Reve‘s Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. Enriched with e | | 出版日期 | Book 2018Latest edition | | 關鍵詞 | Chinese Rings; Frame-Stewart conjecture; Gray code; History of puzzles; Sierpiński triangle; Tower of Lon | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-319-73779-9 | | isbn_softcover | 978-3-030-08856-9 | | isbn_ebook | 978-3-319-73779-9 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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