Overview

""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)

Full Product Details

Author:   W.M. Schmidt
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1980. 2nd printing 1996
Volume:   785
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.970kg
ISBN:  

9783540097624

ISBN 10:   3540097627
Pages:   300
Publication Date:   01 March 1980
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Approximation to Irrational Numbers by Rationals.- Simultaneous Approximation.- Games and Measures.- Integer Points in Parallelepipeds.- Roth’s Theorem.- Simultaneous Approximation to Algebraic Numbers.- Norm Form Equations.- Approximation By Algebraic Numbers.

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