Ergodic theory of numbers /:
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 m...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, DC] :
Mathematical Association of America,
[2002]
|
| Schriftenreihe: | Carus mathematical monographs ;
no. 29. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (x, 190 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 179-185) and index. |
| ISBN: | 9781614440277 1614440271 |
Internformat
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| 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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| contents | Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy. |
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| id | ZDB-4-EBA-ocn877868949 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:41:56Z |
| institution | BVB |
| isbn | 9781614440277 1614440271 |
| language | English |
| oclc_num | 877868949 |
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| series | Carus mathematical monographs ; |
| series2 | Carus mathematical monographs ; |
| spelling | Dajani, Karma. http://id.loc.gov/authorities/names/no2002086538 Ergodic theory of numbers / Karma Dajani, Cor Kraaikamp. [Washington, DC] : Mathematical Association of America, [2002] ©2002 1 online resource (x, 190 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Carus mathematical monographs ; number 29 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. Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Théorie ergodique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 Probabilistische Zahlentheorie gnd http://d-nb.info/gnd/4420009-2 Teoria ergodica. larpcal Kraaikamp, Cor. http://id.loc.gov/authorities/names/n2002159914 Print version: Dajani, Karma. Ergodic theory of numbers 0883850346 (DLC) 2002101376 (OCoLC)50642468 Carus mathematical monographs ; no. 29. http://id.loc.gov/authorities/names/n86717982 |
| spellingShingle | Dajani, Karma Ergodic theory of numbers / Carus mathematical monographs ; Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy. Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Théorie ergodique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 Probabilistische Zahlentheorie gnd http://d-nb.info/gnd/4420009-2 Teoria ergodica. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85044600 http://d-nb.info/gnd/4015246-7 http://d-nb.info/gnd/4067277-3 http://d-nb.info/gnd/4420009-2 |
| title | Ergodic theory of numbers / |
| title_auth | Ergodic theory of numbers / |
| title_exact_search | Ergodic theory of numbers / |
| title_full | Ergodic theory of numbers / Karma Dajani, Cor Kraaikamp. |
| title_fullStr | Ergodic theory of numbers / Karma Dajani, Cor Kraaikamp. |
| title_full_unstemmed | Ergodic theory of numbers / Karma Dajani, Cor Kraaikamp. |
| title_short | Ergodic theory of numbers / |
| title_sort | ergodic theory of numbers |
| topic | Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Théorie ergodique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 Probabilistische Zahlentheorie gnd http://d-nb.info/gnd/4420009-2 Teoria ergodica. larpcal |
| topic_facet | Ergodic theory. Théorie ergodique. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Ergodic theory Ergodentheorie Zahlentheorie Probabilistische Zahlentheorie Teoria ergodica. |
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