Approximation by Algebraic Numbers (Cambridge Tracts in Mathematics)

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9780521045674: Approximation by Algebraic Numbers (Cambridge Tracts in Mathematics)
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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.

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This book will enable the reader to reach the current frontier of research in this branch of number theory. It collects together all the most important results that were previously scattered through the literature as well as including a number of significant open questions. The book is written so as to be accessible to graduates who wish to pursue research in this area but will also form an invaluable reference work for established researchers.

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'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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9780521823296: Approximation by Algebraic Numbers (Cambridge Tracts in Mathematics)

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ISBN 10:  0521823293 ISBN 13:  9780521823296
Publisher: Cambridge University Press, 2004
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # APC9780521045674

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # APC9780521045674

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Book Description Cambridge University Press. Paperback. Condition: New. 292 pages. Dimensions: 8.8in. x 5.8in. x 1.0in.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 ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9780521045674

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