Approximation by Algebraic Numbers

Approximation by Algebraic Numbers

by Yann Bugeaud
     
 

Graduate text/reference in number theory. Includes comprehensive reference list and 50 open problems.See more details below

Overview

Graduate text/reference in number theory. Includes comprehensive reference list and 50 open problems.

Product Details

ISBN-13:
9780521823296
Publisher:
Cambridge University Press
Publication date:
04/28/2006
Series:
Cambridge Tracts in Mathematics Series, #160
Pages:
292
Product dimensions:
5.98(w) x 9.02(h) x 0.83(d)

Meet the Author

Table of 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 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; References; Index.

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