| Dewey Class |
510 |
| Title |
The Tower of Hanoi – Myths and Maths ([EBook]) / by by Andreas M. Hinz, Sandi Klavžar, Uroš Milutinović, Ciril Petr |
| Author |
Hinz, Andreas M. |
| Added Personal Name |
Klavžar, Sandi |
| Milutinović, Uroš |
| Petr, Ciril |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Basel : Birkhäuser |
| , 2013. |
| Physical Details |
XV, 335 p. 133 illus., 60 illus. in color. : online resource. |
| ISBN |
9783034802376 |
| Summary Note |
This is the first comprehensive monograph on the mathematical theory of the solitaire game âThe Tower of Hanoiâ which was invented in the 19th century by the French number theorist Ãdouard Lucas. The book comprises a survey of the historical development from the gameâs 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 SierpiÅski 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 âTower of Londonâ, 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.: |
| Contents note |
Foreword by Ian Stewart -- Preface -- 0 The Beginning of the World -- 1 The Chinese Rings -- 2 The Classical Tower of Hanoi -- 3 Lucasâs 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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-0348-0237-6 |
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