<電子ブック>
The Tower of Hanoi – Myths and Maths / by Andreas M. Hinz, Sandi Klavžar, Uroš Milutinović, Ciril Petr
版 | 1st ed. 2013. |
---|---|
出版者 | (Basel : Springer Basel : Imprint: Birkhäuser) |
出版年 | 2013 |
大きさ | XV, 335 p : online resource |
著者標目 | *Hinz, Andreas M author Klavžar, Sandi author Milutinović, Uroš author Petr, Ciril author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:History LCSH:Sequences (Mathematics) LCSH:Discrete mathematics LCSH:Game theory LCSH:Algorithms FREE:Mathematics FREE:History of Mathematical Sciences FREE:Sequences, Series, Summability FREE:Discrete Mathematics FREE:Game Theory FREE:Algorithms |
一般注記 | Foreword by Ian Stewart -- Preface -- 0 The Beginning of the World -- 1 The Chinese Rings -- 2 The Classical Tower of Hanoi -- 3 Lucas’s Second Problem -- 4 Sierpinski Graphs -- 5 The Tower of Hanoi with More Pegs -- 6 Variations of the Puzzle -- 7 The Tower of London -- 8 Tower of Hanoi Variants with Oriented Disc Moves -- 9 The End of the World -- A Hints and Solutions to Exercises -- Glossary -- Bibliography -- Name Index -- Subject Index -- Symbol Index 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike HTTP:URL=https://doi.org/10.1007/978-3-0348-0237-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783034802376 |
|
電子リソース |
|
EB00204620 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降