Distribution Modulo One and Diophantine Approximation (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2012

0521111692 / 9780521111690

Series: Book 18 of 46 - Cambridge Tracts in Mathematics

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Hardcover

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Hardcover. This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references. A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, much of it from the last decade. There are numerous exercises to aid student understanding of the topic, and researchers will appreciate the notes at the end of each chapter, extensive references and open problems. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Distribution Modulo One and Diophantine Approximation (Hardcover)
Author
Yann Bugeaud
Publisher
Cambridge University Press, Cambridge
Publication year
2012
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521111692
ISBN 13
9780521111690
Series
Book 18 of 46: Cambridge Tracts in Mathematics

CitiRetail

Stevenage, United Kingdom

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AbeBooks seller since June 29, 2022

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