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 longstanding myths it contains a thorough, largely selfcontained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the socalled 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 FrameStewart conjecture. Despite many attempts to decide it and largescale 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 longstanding myths it contains a thorough, largely selfcontained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the socalled 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 FrameStewart conjecture. Despite many attempts to decide it and largescale 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
 10.1007/9783034802376
 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
 10.1007/9783034802376
 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/TheTowerofHanoimythsandmathsAndreasM./FheyprEMYA/" 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/TheTowerofHanoimythsandmathsAndreasM./FheyprEMYA/">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>