Distribution Modulo One and Diophantine Approximation

Name: Distribution Modulo One and Diophantine Approximation
Brand: Cambridge University Press
SKU: 9780521111690
Price: 3563 CZK
Availability: InStock

Autor: Yann Bugeaud

Jazyk:

Vazba: Pevná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 9-15 dnů

3 563 Kč

This book presents state-of-the-art research on the distribution modulo one of sequences of integral...

Informace o knize

Autor

Yann Bugeaud

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2012

Stránek

316

EAN

9780521111690

ISBN

0521111692

Enbook ID

01204197

Vydavatel

Cambridge University Press

Hmotnost

580

Rozměry

157 x 231 x 21

Kompletní popis

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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Distribution Modulo One and Diophantine Approximation

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