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  • Language: English

    Published by Birkhäuser, 2015

    3034807694 / 9783034807692

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  • Language: English

    Published by Birkhäuser, 2015

    3034807694 / 9783034807692

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  • Language: English

    Published by Routledge, 2016

    1138199087 / 9781138199088

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  • Language: English

    Published by Routledge, 2016

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  • Language: English

    Published by Routledge, 2016

    1138199087 / 9781138199088

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  • Language: English

    Published by Routledge, 2016

    1138199087 / 9781138199088

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  • Language: English

    Published by Springer, 2013

    3034802366 / 9783034802369

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    Condition: New. pp. 352.

  • Language: English

    Published by Springer, 2013

    3034802366 / 9783034802369

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    Condition: New. pp. 352 133 Illus. (60 Col.).

  • Language: English

    Published by Birkhäuser, 2018

    3319737783 / 9783319737782

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  • Language: English

    Published by WSPC, 2023

    9811269033 / 9789811269035

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  • Language: English

    Published by WSPC, 2023

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  • Language: English

    Published by Birkh?user, 2013

    3034802366 / 9783034802369

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    Gebundene Ausgabe. Condition: Neu. 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 ?douard 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 Sierpi?ski 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. Sprache: Englisch Gewicht in Gramm: 642.…

  • Language: English

    Published by WSPC, 2023

    9811269033 / 9789811269035

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  • Language: English

    Published by WSPC, 2023

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  • Language: English

    Published by Birkhäuser, 2018

    3319737783 / 9783319737782

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  • Language: English

    Published by CRC Press, 2016

    1138199087 / 9781138199088

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    Softcover/Taschenbuch. Condition: Neu. This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website. Sprache: Englisch Gewicht in Gramm: 1000.…

  • Language: English

    Published by Birkhäuser, 2015

    3034807694 / 9783034807692

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  • Language: English

    Published by Birkhäuser, 2015

    3034807694 / 9783034807692

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  • Language: English

    Published by Birkhäuser, 2018

    3319737783 / 9783319737782

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  • Language: English

    Published by Birkhäuser, 2018

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  • Language: English

    Published by Springer, 2018

    3319737783 / 9783319737782

    • Hardcover
    • First Edition

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    Gebundene Ausgabe. Condition: Neu. The solitaire game "The Tower of Hanoi" was invented in the 19th century by the French number theorist ?douard 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 Sierpi?ski 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."L?szl? 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. Sprache: Englisch Gewicht in Gramm: 823.…

  • Language: English

    Published by Taylor & Francis Group, 2011

    1439813043 / 9781439813041

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    Condition: New. pp. xviii + 518 Indices 2nd Edition.

  • Language: English

    Published by Taylor & Francis Group, 2011

    1439813043 / 9781439813041

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    Condition: New. pp. xviii + 518.

  • Language: English

    Published by CRC Press, 2011

    1439813043 / 9781439813041

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    Gebundene Ausgabe. Condition: Neu. This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website. Sprache: Englisch Gewicht in Gramm: 1133.…

  • Language: English

    Published by Springer, 2013

    3034802366 / 9783034802369

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    Condition: New. PRINT ON DEMAND pp. 352.

  • Language: English

    Published by WSPC, 2023

    9811269033 / 9789811269035

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    Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt.

  • Language: English

    Published by Taylor & Francis Group, 2011

    1439813043 / 9781439813041

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    Condition: New. pp. xviii + 518 Illus. This item is printed on demand.