The Tower of Hanoi – Myths and Maths - Image 1

Price loading...

Birkhauser The Tower of Hanoi – Myths and Maths

Name: The Tower of Hanoi - Myths and Maths
Brand: Birkhauser

biography

Algorithms

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

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 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thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 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 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.

Product Specifications

Brand: Birkhauser
Model: biography
Format: hardcover
ASIN: 3034802366
Category: Books > Subjects > Computing & Internet > Programming > Algorithms
Domain: Amazon UK
Release Date: 31 January 2013
Listed Since: 04 August 2011

Barcode

No barcode data available

Birkhauser The Tower of Hanoi – Myths and Maths

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

The Tower of Hanoi – Myths and Maths

The Tower of Hanoi – Myths and Maths

Hex: The Full Story (AK Peters/CRC Recreational Mathematics Series)

Notes on Fermat's Last Theorem: 22 (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)

Springer Computational Invariant Theory: 130 Mathematics Book

Number Theory: An approach through history From Hammurapi to Legendre (Modern Birkhäuser Classics)

Fibonacci and Lucas Numbers with Applications, Volume 1 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Fundamentals of Ramsey Theory (Discrete Mathematics and Its Applications)

Language Computability and Formal Language Theory

The Fibonacci Numbers and Integer Structure: Foundations for a Modern Quadrivium

17 Lectures on Fermat Numbers: From Number Theory to Geometry (CMS Books in Mathematics)

Graphs on Surfaces and Their Applications: 141 (Encyclopaedia of Mathematical Sciences, 141)

Die Entstehung der Knotentheorie: Kontexte und Konstruktionen einer modernen mathematischen Theorie

Quantitative Graph Theory: Mathematical Foundations and Applications (Discrete Mathematics and Its Applications (Hardcover))

Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham

Algorithmen - Eine Einführung

Great Circle of Mysteries: Mathematics, the World, the Mind

Fixed Point Theory and its Applications to Real World Problems (Mathematics Research Developments)

UNDERSTANDING GAME THEORY: INTRODUCTION TO THE ANALYSIS OF MANY AGENT SYSTEMS WITH COMPETITION AND COOPERATION

Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms: 234 (Operator Theory: Advances and Applications, 234)

Advances in Unconventional Computing: Volume 1: Theory: 22 (Emergence, Complexity and Computation, 22)

Recent Improvements in the Theory of Chaotic Attractors

I Want to be a Mathematician: An Automathography

Pearls of Discrete Mathematics (Discrete Mathematics and Its Applications)