DISTRIBUTION MODULO ONE AND DIOPHANTINE APPROXIMATION by Yann Bugeaud ( 9780521111690 )

Item Details

Title:

DISTRIBUTION MODULO ONE AND DIOPHANTINE APPROXIMATION

By:

Yann Bugeaud

Format:

Hardback

List price:

£115.00

Our price:

£100.63

Discount:

12.5% off

You save:

£14.37

ISBN 10:

0521111692

ISBN 13:

9780521111690

Availability:

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Stock:

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

5 July, 2012

Series:

Cambridge Tracts in Mathematics 193

Pages:

316

Description:

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.

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.

Illustrations:

70 exercises

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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DISTRIBUTION MODULO ONE AND DIOPHANTINE APPROXIMATION