Coverart for item
The Resource The Tower of Hanoi – Myths and Maths, by Andreas M. Hinz, Sandi Klavžar, Ciril Petr, (electronic resource)

The Tower of Hanoi – Myths and Maths, by Andreas M. Hinz, Sandi Klavžar, Ciril Petr, (electronic resource)

Label
The Tower of Hanoi – Myths and Maths
Title
The Tower of Hanoi – Myths and Maths
Statement of responsibility
by Andreas M. Hinz, Sandi Klavžar, Ciril Petr
Creator
Contributor
Author
Subject
Language
eng
Summary
The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. 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, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants. The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the “The Reve's Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. 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. Excerpts from reviews of the first edition: “The book is an unusual, but very welcome, form of mathematical writing: recreational mathematics taken seriously and serious mathematics treated historically. I don’t hesitate to recommend this book to students, professional research mathematicians, teachers, and to readers of popular mathematics who enjoy more technical expository detail.” Chris Sangwin, The Mathematical Intelligencer 37(4) (2015) 87f. “The book demonstrates that the Tower of Hanoi has a very rich mathematical structure, and as soon as we tweak the parameters we surprisingly quickly find ourselves in the realm of open problems.” László Kozma, ACM SIGACT News 45(3) (2014) 34ff. “Each time I open the book I discover a renewed interest in the Tower of Hanoi. I am sure that this will be the case for all readers.” Jean-Paul Allouche, Newsletter of the European Mathematical Society 93 (2014) 56.--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Hinz, Andreas M
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Klavžar, Sandi.
  • Petr, Ciril.
Series statement
  • Springer eBooks.
  • Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Algorithms
  • Sequences (Mathematics)
  • Game theory
  • Combinatorics
Label
The Tower of Hanoi – Myths and Maths, by Andreas M. Hinz, Sandi Klavžar, Ciril Petr, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-73779-9
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Tower of Hanoi Variants with Restricted Disc Moves -- Hints, Solutions and Supplements to Exercises -- The End of the World
Control code
978-3-319-73779-9
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XVI, 452 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319737799
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73779-9
Other physical details
155 illustrations, 60 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1032070649
Label
The Tower of Hanoi – Myths and Maths, by Andreas M. Hinz, Sandi Klavžar, Ciril Petr, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-73779-9
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Tower of Hanoi Variants with Restricted Disc Moves -- Hints, Solutions and Supplements to Exercises -- The End of the World
Control code
978-3-319-73779-9
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XVI, 452 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319737799
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-73779-9
Other physical details
155 illustrations, 60 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1032070649

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