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Ergodic theory of numbers / Karma Dajani, Cor Kraaikamp.

By: Contributor(s): Material type: TextTextSeries: Carus mathematical monographs ; no. 29.Publisher: [Washington, DC] : Mathematical Association of America, [2002]Copyright date: ©2002Description: 1 online resource (x, 190 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781614440277
  • 1614440271
Subject(s): Additional physical formats: Print version:: Ergodic theory of numbersDDC classification:
  • 515/.42 22
LOC classification:
  • QA313 .D35 2002eb
Other classification:
  • SK 180
  • SK 810
  • MAT 107f
Online resources:
Contents:
Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 179-185) and index.

Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy.

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.

Print version record.

Added to collection customer.56279.3

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