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
Resource Information
The item The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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
- Language
- eng
- Extent
- 1 online resource
- 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
- Isbn
- 9783034802376
- 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
- Subject
-
- Algorithm Analysis and Problem Complexity.
- Combinatorics.
- Computer software
- Computer software
- GAMES -- Sudoku
- Game Theory, Economics, Social and Behav. Sciences.
- History
- History
- History of Mathematical Sciences.
- MATHEMATICS -- Recreations & Games
- Mathematical recreations
- Mathematical recreations
- Mathematical recreations
- Mathematical recreations -- History
- Mathematics.
- Mathematik
- Methodologie
- Sequences (Mathematics)
- Sequences, Series, Summability.
- Unterhaltungsmathematik
- 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
- 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
- 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
Subject
- Algorithm Analysis and Problem Complexity.
- Combinatorics.
- Computer software
- Computer software
- GAMES -- Sudoku
- Game Theory, Economics, Social and Behav. Sciences.
- History
- History
- History of Mathematical Sciences.
- MATHEMATICS -- Recreations & Games
- Mathematical recreations
- Mathematical recreations
- Mathematical recreations
- Mathematical recreations -- History
- Mathematics.
- Mathematik
- Methodologie
- Sequences (Mathematics)
- Sequences, Series, Summability.
- Unterhaltungsmathematik
Genre
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-Tower-of-Hanoi---myths-and-maths-Andreas-M./F-heyprEMYA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-Tower-of-Hanoi---myths-and-maths-Andreas-M./F-heyprEMYA/">The Tower of Hanoi-- myths and maths, Andreas M. Hinz [and others] ; foreword by Ian Stewart</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
