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  • © 1995

Introduction to Diophantine Approximations

New Expanded Edition

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  • ISBN: 978-1-4612-4220-8
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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
  2. General Formalism

    • Serge Lang
    Pages 1-19
  3. Asymptotic Approximations

    • Serge Lang
    Pages 20-34
  4. Estimates of Averaging Sums

    • Serge Lang
    Pages 35-49
  5. Quadratic Irrationalities

    • Serge Lang
    Pages 50-68
  6. The Exponential Function

    • Serge Lang
    Pages 69-77
  7. Back Matter

    Pages 79-130

About this book

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

  • Department of Mathematics, Yale University, New Haven, USA

    Serge Lang

Bibliographic Information

  • Book Title: Introduction to Diophantine Approximations

  • Book Subtitle: New Expanded Edition

  • Authors: Serge Lang

  • DOI: https://doi.org/10.1007/978-1-4612-4220-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Hardcover ISBN: 978-0-387-94456-2

  • Softcover ISBN: 978-1-4612-8700-1

  • eBook ISBN: 978-1-4612-4220-8

  • Edition Number: 2

  • Number of Pages: X, 130

  • Additional Information: Originally published by Addison Wesley, 1966

  • Topics: Number Theory

Buying options

eBook
USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-1-4612-4220-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 89.99
Price excludes VAT (USA)
Hardcover Book
USD 139.99
Price excludes VAT (USA)