The Tower of Hanoi - Myths and Maths (Record no. 85065)
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000 -LEADER | |
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fixed length control field | 02227nam a2200205 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 161018b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783034802369 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 793.74/ |
Cutter | Hin |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Hinz, Andreas M. |
245 ## - TITLE STATEMENT | |
Title | The Tower of Hanoi - Myths and Maths |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | London |
Name of publisher, distributor, etc | Birkhauser (Springer) |
Date of publication, distribution, etc | 2013 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xv; 335p. |
Dimensions | 9x6 |
Other physical details | hb |
520 ## - Remark | |
Summary, etc | 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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. |
546 ## - LANGUAGE NOTE | |
Language note | ENG |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematical recreations |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Klavzar, Sandi |
Personal name | Milutinovic, Uros |
Personal name | Petr, Ciril |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Item type | Book |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Permanent location | Current location | Shelving location | Date acquired | Full call number | Barcode | Date last seen | Date last borrowed | Koha item type |
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Book | HBCSE | HBCSE | Mathematics | 2016-10-18 | 793.74/ Hin | 23488 | 2018-01-02 | 2017-12-14 | Book |