Approximation by Algebraic Numbers PDF Download
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Author: Yann Bugeaud
Publisher: Cambridge University Press
ISBN: 1139455672
Category : Mathematics
Languages : en
Pages : 292
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Book Description
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.
Author: Yann Bugeaud
Publisher: Cambridge University Press
ISBN: 1139455672
Category : Mathematics
Languages : en
Pages : 292
Get Book Here
Book Description
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.
Author: Kanakanahalli RAMACHANDRA
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Wolfgang M. Schmidt
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 80
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Book Description
Author: W.M. Schmidt
Publisher: Springer
ISBN: 3540386459
Category : Mathematics
Languages : en
Pages : 312
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Book Description
"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)
Author: Aleksandr Osipovich Gelʹfond
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 52
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Book Description
Author: Aleksandr Osipovich Gelʹfond
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 45
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Book Description
Author: Aleksandr Osipovich Gelʹfond
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Author: Kanakanahalli Ramachandra
Publisher:
ISBN:
Category :
Languages : de
Pages : 7
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Book Description
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461242207
Category : Mathematics
Languages : en
Pages : 138
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Book Description
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: Yves Meyer
Publisher: North-Holland
ISBN:
Category : Algebraic number theory
Languages : en
Pages : 296
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Book Description
Diophantine approximations to real numbers. Some classical results in diophantine approximations. Measure-teoretical methods in diophantine approximations. Diophantine approximations and additive problems in locally compact abelian groups. Uniqueness of representation by trigonometric series. Problems on a-periodic trigonometric sums. Special trigonometric series (complex methods). Special trigonometric series (group-theoretic methods). Pisot numbers and spectral synthesis. Ultra-thin symmetric sets.
