Approximation To Algebraic Numbers

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Approximation To Algebraic Numbers

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Author : Wolfgang M. Schmidt
language : en
Publisher:
Release Date : 1972

Approximation To Algebraic Numbers written by Wolfgang M. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebraic fields categories.

Approximation By Algebraic Numbers

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Author : Yann Bugeaud
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-08

Approximation By Algebraic Numbers written by Yann Bugeaud and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-08 with Mathematics categories.

An accessible and broad account of the approximation and classification of real numbers suited 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 comprehensive list of more than 600 references.

Diophantine Approximation On Linear Algebraic Groups

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Author : Michel Waldschmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Diophantine Approximation On Linear Algebraic Groups written by Michel Waldschmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

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.

Diophantine Approximation

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Author : W.M. Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 1980-03

Diophantine Approximation written by W.M. Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-03 with Mathematics categories.

"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)

Diophantine Approximations And Diophantine Equations

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Author : Wolfgang M. Schmidt
language : en
Publisher: Springer
Release Date : 2006-12-08

Diophantine Approximations And Diophantine Equations written by Wolfgang M. Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.

"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

Approximation To Algebraic Numbers

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Author : Wolfgang M. Schmidt
language : en
Publisher:
Release Date : 1972

Approximation To Algebraic Numbers written by Wolfgang M. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebraic fields categories.

Diophantine Approximation

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Author : W.M. Schmidt
language : en
Publisher: Springer
Release Date : 2009-02-05

Diophantine Approximation written by W.M. Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-05 with Mathematics categories.

"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)

Algebraic Number Theory And Diophantine Analysis

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Author : F. Halter-Koch
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24

Algebraic Number Theory And Diophantine Analysis written by F. Halter-Koch and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Algebraic Numbers And Diophantine Approximation

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Author : Kenneth B. Stolarsky
language : en
Publisher:
Release Date : 1974

Algebraic Numbers And Diophantine Approximation written by Kenneth B. Stolarsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algebraic number theory categories.

Mathematics Of Approximation

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Author : Johan De Villiers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-30

Mathematics Of Approximation written by Johan De Villiers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-30 with Mathematics categories.

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter