Table of contents for Approximation by algebraic numbers / Yann Bugeaud.


Bibliographic record and links to related information available from the Library of Congress catalog


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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 measure of exceptional sets
7. On T-numbers and U-numbers
8. Other classifications of real and complex numbers
9. Approximation in other fields
10. Conjectures and open questions
Appendix A. Lemmas on polynomials
Appendix B. Geometry of numbers
Bibliography
Index.


Library of Congress subject headings for this publication:
Approximation theory.
Algebraic number theory.