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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...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Series: | Cambridge tracts in mathematics ;
160. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- 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.