Inicio > Matemáticas y ciencia > Matemáticas > The Tower of Hanoi - Myths and Maths
The Tower of Hanoi - Myths and Maths

The Tower of Hanoi - Myths and Maths

Andreas M. Hinz / Andreas MHinz / Ciril Petr / Sandi Klavžar

172,43 €
IVA incluido
Consulta disponibilidad
Editorial:
Springer Nature B.V.
Año de edición:
2018
Materia
Matemáticas
ISBN:
9783319737782

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
¡Pregúntanos!
Sobre IBD

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myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences.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.

Artículos relacionados

  • Wearable Electronics and Embedded Computing Systems for Biomedical Applications
    Wearable electronics and embedded computing systems have been receiving a great deal of interest over the last two decades in research and commercial fields, with a special focus on biomedical applications. The key benefits introduced by these systems include their small size, lightweight, low-power consumption, and, of course, wearability. Major human-centered applications are...
    Disponible

    67,84 €

  • John and Betty’s Journey Into Complex Numbers
    Matt Bower
    Set in the genre of a children’s book, John and Betty trace the evolutionof complex numbers and explore their operations. From integers, tofractions, to surds, complex numbers are made to seem like an obviousextension. Incorporating graphing on the complex number plane andculminating in De Moivre’s Theorem, the logic of complex numbers ismade to seem intuitive and simple. John ...
    Disponible

    19,23 €

  • Special Functions
    Historically, the notion of entropy emerged in conceptually very distinct contexts. This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics since the 1970's (Mathai and Rathie 1975, Mathai and Pederzoli 1977, Mathai and Saxena 1978, Mathai, Saxena, and Haubold 2010).The original ...
    Disponible

    75,85 €

  • VALUE DISTRIBUTION IN P-ADIC ANALYSIS
    ALAIN ESCASSUT / ESCASSUT ALAIN
     The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromo...
  • WORLDWIDE LOTTERY GAMES In Naturally Optimized Systems
    Cornelia Lala / Corneliu Lala
    Worldwide Lottery Games In Naturally Optimized Systems Pick 5 has been developed on the authors’ initiative, based on the belief that nothing in the Universe happens by chance because there are laws governing everything, and by increasing our knowledge, we can triumph over mere chance. This is a book for players and/or groups of players (syndicates) who want to play to more th...
    Disponible

    28,34 €

  • ENTENDIENDO LAS PROBABILIDADES Y CALCULÁNDOLAS
    Catalin Barboianu / Rafael Martilotti
    La vida cotidiana está llena de situaciones que exigen tomar decisiones. Y en estos casos comparamos y hacemos estimaciones de probabilidades, a veces casi sin darnos cuenta, especialmente en el momento de decidir. Pero las probabilidades no son números simples asociados objetiva o subjetivamente a los eventos, como nos podría parecer, y el cálculo y el uso que le damos están e...
    Disponible

    31,57 €