Introduction To Diophantine Approximations

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461242207
Total Pages : 138 pages
Book Rating : 4.08/5 ( download)

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Download or read book Introduction to Diophantine Approximations written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.

Author : Serge Lang
Publisher :
ISBN 13 :
Total Pages : 83 pages
Book Rating : 4.58/5 ( download)

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Download or read book Introduction to Diophantine Approximations written by Serge Lang and published by . This book was released on 1966 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John William Scott Cassels
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.16/5 ( download)

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Download or read book An Introduction to Diophantine Approximation written by John William Scott Cassels and published by . This book was released on 1972 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marc Hindry
Publisher : Springer Science & Business Media
ISBN 13 : 1461212103
Total Pages : 574 pages
Book Rating : 4.02/5 ( download)

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Download or read book Diophantine Geometry written by Marc Hindry and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Author : J. W. S. Cassels
Publisher :
ISBN 13 : 9780758113481
Total Pages : 166 pages
Book Rating : 4.8X/5 ( download)

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Download or read book An Introduction to Diophantine Approximation written by J. W. S. Cassels and published by . This book was released on 2003-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Wolfgang M. Schmidt
Publisher : Springer
ISBN 13 : 3540473742
Total Pages : 224 pages
Book Rating : 4.49/5 ( download)

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Download or read book Diophantine Approximations and Diophantine Equations written by Wolfgang M. Schmidt and published by Springer. This book was released on 2006-12-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum

Author : Michel Waldschmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3662115697
Total Pages : 649 pages
Book Rating : 4.95/5 ( download)

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Download or read book Diophantine Approximation on Linear Algebraic Groups written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

Author : John W. S. Cassels
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.52/5 ( download)

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Download or read book An Introduction to Diophantine Approximation written by John W. S. Cassels and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645497
Total Pages : 350 pages
Book Rating : 4.96/5 ( download)

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Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.

Author : Jörn Steuding
Publisher : Birkhäuser
ISBN 13 : 3319488171
Total Pages : 232 pages
Book Rating : 4.72/5 ( download)

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Download or read book Diophantine Analysis written by Jörn Steuding and published by Birkhäuser. This book was released on 2016-12-21 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.