An Introduction to the Geometry of Numbers

  • J. W. S. Cassels

Part of the Classics in Mathematics book series (volume 99)

Table of contents

  1. Front Matter
    Pages N1-VIII
  2. J. W. S. Cassels
    Pages 1-8
  3. J. W. S. Cassels
    Pages 9-26
  4. J. W. S. Cassels
    Pages 26-63
  5. J. W. S. Cassels
    Pages 64-102
  6. J. W. S. Cassels
    Pages 103-121
  7. J. W. S. Cassels
    Pages 121-174
  8. J. W. S. Cassels
    Pages 175-193
  9. J. W. S. Cassels
    Pages 194-201
  10. J. W. S. Cassels
    Pages 201-222
  11. J. W. S. Cassels
    Pages 223-255
  12. J. W. S. Cassels
    Pages 256-303
  13. J. W. S. Cassels
    Pages 303-332
  14. Back Matter
    Pages 334-343

About this book

Introduction

Reihentext + Geometry of Numbers From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)

Keywords

Diophantine approximation Prime automorphs distance functions geometry of numbers lattices minkowski's theorem number theory packings reduction

Authors and affiliations

  • J. W. S. Cassels
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-62035-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61788-4
  • Online ISBN 978-3-642-62035-5
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site