𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximation by Algebraic Numbers

✍ Scribed by Bugeaud Y.

Book ID
127445849
Year
2004
Tongue
English
Weight
1 MB
Category
Library
ISBN-13
9780511265914

No coin nor oath required. For personal study only.

✦ Synopsis

Bugeaud (UniversitΓ© Louis Pasteur) surveys recent results on algebraic approximations and classifications. Starting from continued fractions and Khintchine's theorem, he introduces a variety of techniques, ranging from explicit constructions to metric number theory. The reader is led to advanced results such as the proof of Mahler's conjecture on S-numbers. Brief consideration is given to the p-adic and the formal power series cases. Some 40 exercises are included. The book can be used for a graduate course on Diophantine approximation, or as an introduction for non-experts. Specialists will appreciate the collection of 50 open problems.

πŸ“œ SIMILAR VOLUMES

Approximation by algebraic numbers
Approximation by algebraic numbers
✍ Yann Bugeaud πŸ“‚ Library πŸ“… 2004 πŸ› Cambridge University Press 🌐 English βš– 1 MB

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 purs