Diophantine Approximation / Edition 1

Diophantine Approximation / Edition 1

by W.M. Schmidt
     
 

ISBN-10: 3540097627

ISBN-13: 9783540097624

Pub. Date: 05/20/1996

Publisher: Springer Berlin Heidelberg

"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

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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)

Product Details

ISBN-13:
9783540097624
Publisher:
Springer Berlin Heidelberg
Publication date:
05/20/1996
Series:
Lecture Notes in Mathematics Series, #785
Edition description:
1st ed. 1980. 2nd printing 1996
Pages:
311
Product dimensions:
6.10(w) x 9.10(h) x 0.80(d)

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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