| Description |
1 online resource (xv, 274 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge tracts in mathematics ; 160
|
|
Cambridge tracts in mathematics ; 160.
|
| Bibliography |
Includes bibliographical references (pages 240-272) and index. |
| Summary |
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. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Approximation theory.
|
|
Approximation theory. |
|
Algebraic number theory.
|
|
Algebraic number theory. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Bugeaud, Yann, 1971- Approximation by algebraic numbers. Cambridge, UK ; New York : Cambridge University Press, 2004 0521823293 9780521823296 (DLC) 2003063884 (OCoLC)53953706 |
| ISBN |
9780511265914 (electronic book) |
|
0511265913 (electronic book) |
|
0511263643 |
|
9780511263644 |
|
0511264453 |
|
9780511264450 |
|
0511265190 (electronic book) |
|
9780511265198 (electronic book) |
|
9780511542886 (ebook) |
|
0511542887 (ebook) |
|
9780521823296 (hardback) |
|
0521823293 (hardback) |
|
0521823293 (Cloth) |
|
1280749946 |
|
9781280749940 |
|
