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Diophantine Approximations

2013-01-23 Mathematics
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Release : 2013-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 705/5 ( reviews)

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Book Synopsis Diophantine Approximations by : Ivan Niven

Download or read book Diophantine Approximations written by Ivan Niven. This book was released on 2013-01-23. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.

Diophantine Approximations and Diophantine Equations

2006-12-08 Mathematics
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Release : 2006-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 742/5 ( reviews)

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Book Synopsis Diophantine Approximations and Diophantine Equations by : Wolfgang M. Schmidt

Download or read book Diophantine Approximations and Diophantine Equations written by Wolfgang M. Schmidt. This book was released on 2006-12-08. 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

Diophantine Approximation

2009-02-05 Mathematics
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Release : 2009-02-05
Genre : Mathematics
Kind : eBook
Book Rating : 459/5 ( reviews)

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Book Synopsis Diophantine Approximation by : W.M. Schmidt

Download or read book Diophantine Approximation written by W.M. Schmidt. This book was released on 2009-02-05. Available in PDF, EPUB and Kindle. Book excerpt: "In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on rational approxi- mations to algebraic numbers. The present volume is an ex- panded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field."(Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject. ... this book is highly recommended." (Mededelingen van het Wiskundig Genootschap)

Introduction to Diophantine Approximations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 207/5 ( reviews)

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Book Synopsis Introduction to Diophantine Approximations by : Serge Lang

Download or read book Introduction to Diophantine Approximations written by Serge Lang. This book was released on 2012-12-06. 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.

Diophantine Approximations and Value Distribution Theory

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 528/5 ( reviews)

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Book Synopsis Diophantine Approximations and Value Distribution Theory by : Paul Alan Vojta

Download or read book Diophantine Approximations and Value Distribution Theory written by Paul Alan Vojta. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

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