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Ergodic Theory of Numbers

Ergodic Theory of Numbers

£35.99

Part of Carus Mathematical Monographs

  • Date Published: September 2002
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • format: Hardback
  • isbn: 9780883850343

£ 35.99
Hardback

This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
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About the Authors
  • This book is an introduction to the ergodic theory behind common number expansions, for instance decimal expansions, continued fractions and many others. The questions studied are dynamical as well as number theoretic in nature, and the answers are obtained with the help of ergodic theory. What it means to be ergodic and the basic ideas behind ergodic theory are explained along the way. The book is aimed at introducing students with sufficient background knowledge in real analysis to a 'dynamical way of thinking'. The subjects covered vary from the classical to recent research which should increase the appeal of this book to researchers working in the field.

    • Accessible introduction for graduate students
    • Includes recent results that will be of interest to researchers
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    Product details

    • Date Published: September 2002
    • format: Hardback
    • isbn: 9780883850343
    • length: 200 pages
    • dimensions: 219 x 152 x 20 mm
    • weight: 0.354kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
  • Table of Contents

    1. Introduction
    2. Variations on a theme
    3. Ergodicity
    4. Systems obtained from other systems
    5. Diophantine approximation and continued fractions
    6. Entropy.

  • Authors

    Karma Dajani, Universiteit Utrecht, The Netherlands

    Cor Kraaikamp, Technische Universiteit Delft, The Netherlands

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