Articles liés à Approximation by Algebraic Numbers

Approximation by Algebraic Numbers - Couverture rigide

Livre 12 sur 46: Cambridge Tracts in Mathematics

Bugeaud, Yann

 
9780521823296: Approximation by Algebraic Numbers
Couverture rigide
ISBN 10 : 0521823293 ISBN 13 : 9780521823296
Editeur : Cambridge University Press, 2004

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

'The book is written in a relaxed style, and begins with some accessible introductory chapters ... It is nicely written and well explained, and proofs in the main are given in full. this book is certainly suitable for a non-expert in the area, or as a graduate course for an advanced student ... All in all, this is a very nice book.' Bulletin of the London Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2004
Langue
anglais
ISBN 10 
0521823293
ISBN 13 
9780521823296
Reliure
Relié
Nombre de pages
292
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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