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The Resource The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart

The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart

Label
The Tower of Hanoi-- myths and maths
Title
The Tower of Hanoi-- myths and maths
Statement of responsibility
Andreas M. Hinz [and others] ; foreword by Ian Stewart
Contributor
Subject
Genre
Language
eng
Summary
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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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
Cataloging source
GW5XE
Dewey number
793.74
Index
index present
LC call number
QA95
LC item number
.T69 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Hinz, Andreas M
http://library.link/vocab/subjectName
  • Mathematical recreations
  • Mathematical recreations
  • GAMES
  • MATHEMATICS
  • Mathematical recreations
  • Mathematik
  • Methodologie
  • Unterhaltungsmathematik
Label
The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Tower of Hanoi Variants with Oriented Disc Moves
  • The End of the World
  • The Beginning of the World
  • The Chinese Rings
  • The Classical Tower of Hanoi
  • Lucas's Second Problem
  • Sierpinski Graphs
  • The Tower of Hanoi with More Pegs
  • Variations of the Puzzle
  • The Tower of London
Control code
827002131
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783034802376
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0237-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)827002131
Label
The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Tower of Hanoi Variants with Oriented Disc Moves
  • The End of the World
  • The Beginning of the World
  • The Chinese Rings
  • The Classical Tower of Hanoi
  • Lucas's Second Problem
  • Sierpinski Graphs
  • The Tower of Hanoi with More Pegs
  • Variations of the Puzzle
  • The Tower of London
Control code
827002131
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783034802376
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0237-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)827002131

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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