Yann Bugeaud

Approximation by Algebraic Numbers

Herausgeber: Bollobas, Bela; Fulton, W.

• Gebundenes Buch

Produktbeschreibung

To help the reader access the current state of research in this branch of number theory, Yann Bugeaud combines the most important results previously scattered throughout the research literature and also includes a number of significant open questions. Although written for graduates who wish to pursue research, the collection will also be an invaluable reference work for established researchers.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 292
• Erscheinungstermin: 30. April 2006
• Englisch
• Abmessung: 235mm x 157mm x 22mm
• Gewicht: 628g
• ISBN-13: 9780521823296
• ISBN-10: 0521823293
• Artikelnr.: 22159281

Inhaltsangabe

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.