Description: Distribution Modulo One and Diophantine Approximation Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Yann Bugeaud Format: Hardback Publisher: Cambridge University Press, United Kingdom Imprint: Cambridge University Press ISBN-13: 9780521111690, 978-0521111690 Synopsis 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.
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Book Title: Distribution Modulo One and Diophantine Approximation
Number of Pages: 316 Pages
Language: English
Publication Name: Distribution Modulo One and Diophantine Approximation
Publisher: Cambridge University Press
Publication Year: 2012
Subject: Mathematics
Item Height: 233 mm
Item Weight: 590 g
Type: Textbook
Author: Yann Bugeaud
Series: Cambridge Tracts in Mathematics
Item Width: 157 mm
Format: Hardcover