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Inhaltsangaben
Kurzbeschreibungen
Zusammenfassungen

Buch, Hörbücher:

Kombinatorik

Seite 3

Die magischen Zahlen des Dr. Matrix: Aussergewöhliche Rätsel, mathematische Abenteuer sowie spannende Fragen aus Kombinatorik und Zahlentheorie

Martin Gardner

B, Broschiert

Die magischen Zahlen des Dr. Matrix: Aussergewöhliche Rätsel, mathematische Abenteuer sowie spannende Fragen aus Kombinatorik und Zahlentheorie

Coxeter Matroids (Progress in Mathematics, Band 216)

Alexandre V. Borovik, Israel M. Gelfand, Neil White

Gebundene Ausgabe

Random Trees: An Interplay between Combinatorics and Probability

Michael Drmota

Gebundene Ausgabe

Höhere Mathematik für Ingenieure Band I: Analysis (Teubner-Ingenieurmathematik)

Klemens Burg

Taschenbuch

Introduction to Combinatorial Designs (Discrete Mathematics and Applications)

W. D. Wallis

Gebundene Ausgabe

The Tower of Hanoi - Myths and Maths

Andreas M. Hinz, Sandi Klav?ar, Ciril Petr

Gebundene Ausgabe

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myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e. g. , on some captivating integer sequences.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