Approximation by Algebraic Numbers
Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detailed proofs. Starting from continued fractions and Khintchine's theorem, Bugeaud introduces a variety of techniques, ranging from explicit constructions to metric number theory, including the theory of Hausdorff dimension. So armed, the reader is led to such celebrated advanced results as the proof of Mahler's conjecture on S-numbers, the Jarnik-Besicovitch theorem, and the existence of T-numbers. B…
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Produktdetails
- ISBN: 978-0-511-26202-9
- EAN: 9780511262029
- Produktnummer: 13844143
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2004
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 1'488 KB
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