Cargando…

Distribution Modulo One and Diophantine Approximation.

"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 distri...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bugeaud, Yann
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Cambridge tracts in mathematics.
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000Mu 4500
001 EBSCO_ocn804664814
003 OCoLC
005 20231017213018.0
006 m o d
007 cr unu||||||||
008 121120s2012 enk ob 001 0 eng d
040 |a EBLCP  |b eng  |e pn  |c EBLCP  |d OCLCO  |d IDEBK  |d CDX  |d YDXCP  |d OCLCQ  |d DEBSZ  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCF  |d N$T  |d IUL  |d OCLCQ  |d ESU  |d OCLCQ  |d BUF  |d OCLCQ  |d AU@  |d UKAHL  |d OCLCQ  |d S8J  |d OCLCQ  |d LUN  |d OCLCO  |d OCLCQ 
019 |a 804824400  |a 805071361  |a 1167389934  |a 1264733136 
020 |a 9781139527804 
020 |a 1139527800 
020 |a 9781139525411  |q (electronic bk.) 
020 |a 1139525417  |q (electronic bk.) 
020 |a 9781139530088  |q (eISBN) 
020 |a 1139530089  |q (eISBN) 
020 |z 9780521111690  |q (hardback) 
020 |z 0521111692  |q (hardback) 
020 |a 9781139017732  |q (ebook) 
020 |a 113901773X 
020 |a 9780521128872  |q (paperback) 
020 |a 0521128870 
029 1 |a DEBSZ  |b 379329115 
029 1 |a NLGGC  |b 344652084 
035 |a (OCoLC)804664814  |z (OCoLC)804824400  |z (OCoLC)805071361  |z (OCoLC)1167389934  |z (OCoLC)1264733136 
050 4 |a QA242 .B84 2012 
072 7 |a MAT  |x 022000  |2 bisacsh 
082 0 4 |a 512.73  |a 512.74 
084 |a MAT022000  |2 bisacsh 
049 |a UAMI 
100 1 |a Bugeaud, Yann. 
245 1 0 |a Distribution Modulo One and Diophantine Approximation. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2012. 
300 |a 1 online resource (318 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Cambridge Tracts in Mathematics ;  |v v. 193 
588 0 |a Print version record. 
504 |a Includes bibliographical references and index. 
505 0 |a 1. Distribution modulo one -- 2. On the fractional parts of powers of real numbers -- 3. On the fractional parts of powers of algebraic numbers -- 4. Normal numbers -- 5. Further explicit constructions of normal and non-normal numbers -- 6. Normality to different bases -- 7. Diophantine approximation and digital properties -- 8. Digital expansion of algebraic numbers -- 9. Continued fraction expansions and beta-expansions -- 10. Conjectures and open problems -- A. Combinatorics on words; B. Some elementary lemmata; C. Measure theory; D. Continued fractions; E. Diophantine approximation; F. Recurrence sequences. 
520 |a "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"--  |c Provided by publisher. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Distribution modulo one. 
650 0 |a Diophantine approximation. 
650 6 |a Répartition modulo 1. 
650 6 |a Approximation diophantienne. 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a Diophantine approximation.  |2 fast  |0 (OCoLC)fst00894089 
650 7 |a Distribution modulo one.  |2 fast  |0 (OCoLC)fst00895605 
776 0 8 |i Print version:  |a Bugeaud, Yann.  |t Distribution Modulo One and Diophantine Approximation.  |d Cambridge : Cambridge University Press, ©2012  |z 9780521111690 
830 0 |a Cambridge tracts in mathematics. 
856 4 0 |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=465744  |z Texto completo 
938 |a Askews and Holts Library Services  |b ASKH  |n AH37563195 
938 |a Askews and Holts Library Services  |b ASKH  |n AH33350619 
938 |a Coutts Information Services  |b COUT  |n 23141558  |c 50.00 GBP 
938 |a EBL - Ebook Library  |b EBLB  |n EBL977117 
938 |a EBSCOhost  |b EBSC  |n 465744 
938 |a ProQuest MyiLibrary Digital eBook Collection  |b IDEB  |n 383425 
938 |a YBP Library Services  |b YANK  |n 9454089 
938 |a YBP Library Services  |b YANK  |n 9458431 
994 |a 92  |b IZTAP