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Approximation by algebraic numbers /

An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the compre...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bugeaud, Yann, 1971-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2004.
Colección:Cambridge tracts in mathematics ; 160.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bugeaud, Yann,  |d 1971- 
245 1 0 |a Approximation by algebraic numbers /  |c Yann Bugeaud. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 2004. 
300 |a 1 online resource (xv, 274 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 160 
504 |a Includes bibliographical references (pages 240-272) and index. 
520 |a An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references. 
505 0 |a Cover; Half-title; Title; Copyright; Contents; Preface; Frequently used notation; 1 Approximation by rational numbers; 2 Approximation to algebraic numbers; 3 The classifications of Mahler and Koksma; 4 Mahler's Conjecture on S-numbers; 5 Hausdorff dimension of exceptional sets; 6 Deeper results on the measureof exceptional sets; 7 On T -numbers and U-numbers; 8 Other classifications of real andcomplex numbers; 9 Approximation in other fields; 10 Conjectures and open questions; Appendix A Lemmas on polynomials; Appendix B Geometry of numbers; References; Index. 
588 0 |a Print version record. 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Approximation theory. 
650 0 |a Algebraic number theory. 
650 6 |a Théorie de l'approximation. 
650 6 |a Théorie algébrique des nombres. 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a Algebraic number theory  |2 fast 
650 7 |a Approximation theory  |2 fast 
650 7 |a Diophantische Approximation  |2 gnd 
650 7 |a Algebraische Zahl  |2 gnd 
776 0 8 |i Print version:  |a Bugeaud, Yann, 1971-  |t Approximation by algebraic numbers.  |d Cambridge, UK ; New York : Cambridge University Press, 2004  |z 0521823293  |z 9780521823296  |w (DLC) 2003063884  |w (OCoLC)53953706 
830 0 |a Cambridge tracts in mathematics ;  |v 160. 
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