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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
Tabla de Contenidos:
  • 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.