Cambridge Tracts in MathematicsSeries Number 160- Approximation by Algebraic Numbers Series Number 160: Approximation by Algebraic Numbers
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Uitgever: Cambridge University Press
Auteur:
Yann Bugeaud
- Engels
- Hardcover
- 9780521823296
- 08 november 2004
- 292 pagina's
Samenvatting
This title is a graduate text/reference in number theory. It includes a comprehensive reference list and 50 open problems.
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. Brief consideration is given both to the p-adic and the formal power series cases. Thus the book can be used for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the rich and comprehensive list of more than 600 references.
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. Brief consideration is given both to the p-adic and the formal power series cases. Thus the book can be used for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the rich and comprehensive list of more than 600 references.
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Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 08 november 2004
- Aantal pagina's
- 292
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Yann Bugeaud
- Hoofdredacteur
- Bela Bollobás
- Tweede Redacteur
- W. Fulton
- Co Redacteur
- F. Kirwan
- Hoofduitgeverij
- Cambridge University Press
Vertaling
- Originele titel
- Approximation by Algebraic Numbers
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- New title
- Extra groot lettertype
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- Product breedte
- 152 mm
- Product hoogte
- 21 mm
- Product lengte
- 229 mm
- Studieboek
- Ja
- Verpakking breedte
- 152 mm
- Verpakking hoogte
- 21 mm
- Verpakking lengte
- 229 mm
- Verpakkingsgewicht
- 600 g
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- EAN
- 9780521823296
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