Introduction to Diophantine Approximations

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

Introduction to Diophantine Approximations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Diophantine Approximations write by Serge Lang. This book was released on 2012-12-06. Introduction to Diophantine Approximations available in PDF, EPUB and Kindle. 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 Geometry

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 103/5 ( reviews)

Diophantine Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Geometry write by Marc Hindry. This book was released on 2013-12-01. Diophantine Geometry available in PDF, EPUB and Kindle. 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.

Diophantine Approximations

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

Diophantine Approximations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Approximations write by Ivan Niven. This book was released on 2013-01-23. Diophantine Approximations available in PDF, EPUB and Kindle. 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 Approximation on Linear Algebraic Groups

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 697/5 ( reviews)

Diophantine Approximation on Linear Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Approximation on Linear Algebraic Groups write by Michel Waldschmidt. This book was released on 2013-03-14. Diophantine Approximation on Linear Algebraic Groups available in PDF, EPUB and Kindle. 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.

An Introduction to Diophantine Equations

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Release : 2010-09-02
Genre : Mathematics
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Book Rating : 497/5 ( reviews)

An Introduction to Diophantine Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Diophantine Equations write by Titu Andreescu. This book was released on 2010-09-02. An Introduction to Diophantine Equations available in PDF, EPUB and Kindle. 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.