Ergodic theory of numbers /

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Bibliographic Details
Author / Creator:Dajani, Karma.
Imprint:[Washington, DC] : Mathematical Association of America, [2002]
©2002
Description:1 online resource (x, 190 pages) : illustrations
Language:English
Series:Carus mathematical monographs ; number 29
Carus mathematical monographs ; no. 29.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11225809
Hidden Bibliographic Details
Other authors / contributors:Kraaikamp, Cor.
ISBN:9781614440277
1614440271
0883850346
9780883850343
0883850001
9780883850008
Notes:Includes bibliographical references (pages 179-185) and index.
Print version record.
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.
Other form:Print version: Dajani, Karma. Ergodic theory of numbers 0883850346

MARC

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505 0 |a Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy. 
520 |a 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. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
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