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
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Cambridge Tracts in Mathematics: Approximation by Algebraic Numbers (Volume 160)
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Cambridge University Press, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
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Approximation by Algebraic Numbers (Cambridge Tracts in Mathematics, Series Number 160)
Edité par
Cambridge University Press, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
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Approximation by Algebraic Numbers (Paperback)
Edité par
Cambridge University Press, Cambridge, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
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Paperback. Etat : new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521045674
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Approximation by Algebraic Numbers (Cambridge Tracts in Mathematics, Series Number 160)
Edité par
Cambridge University Press, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Approximation by Algebraic Numbers
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Paperback. Etat : Brand New. 1st edition. 290 pages. 8.82x5.83x1.02 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521045673
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Approximation by Algebraic Numbers
Edité par
Cambridge University Press 2007-12, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Approximation by Algebraic Numbers
Edité par
Cambridge University Press, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 460. N° de réf. du vendeur C9780521045674
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Approximation by Algebraic Numbers
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ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 292. N° de réf. du vendeur 26379061
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Approximation by Algebraic Numbers
Edité par
Cambridge University Press, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
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Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 292 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. N° de réf. du vendeur 7501674
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Approximation by Algebraic Numbers (Paperback)
Edité par
Cambridge University Press, Cambridge, 2007
ISBN 10 : 0521045673
ISBN 13 : 9780521045674
Neuf
Paperback
Edition originale
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521045674
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