Approximation by algebraic numbers
Algebraic number theory Approximation theory e-böcker
Cambridge University Press
2004
EISBN 9780511263644
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.
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.
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.
