Introduction to Diophantine Approximations

New Expanded Edition

  • Serge┬áLang

Table of contents

  1. Front Matter
    Pages i-x
  2. Serge Lang
    Pages 1-19
  3. Serge Lang
    Pages 20-34
  4. Serge Lang
    Pages 35-49
  5. Serge Lang
    Pages 50-68
  6. Serge Lang
    Pages 69-77
  7. Back Matter
    Pages 79-130

About this book

Introduction

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.

Keywords

Counting Diophantine approximation algebra approximation boundary element method continued fraction counting process distribution eXist exponential function form function functions number theory real number

Authors and affiliations

  • Serge┬áLang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4220-8
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8700-1
  • Online ISBN 978-1-4612-4220-8
  • About this book