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Basic Number Theory

  • André Weil

Part of the Classics in Mathematics book series (GL)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Elementary Theory

    1. André Weil
      Pages 1-23
    2. André Weil
      Pages 24-42
    3. André Weil
      Pages 43-58
    4. André Weil
      Pages 59-79
    5. André Weil
      Pages 80-95
    6. André Weil
      Pages 96-101
    7. André Weil
      Pages 102-138
    8. André Weil
      Pages 139-161
  3. Classfield Theory

    1. André Weil
      Pages 162-187
    2. André Weil
      Pages 188-201
    3. André Weil
      Pages 202-212
    4. André Weil
      Pages 213-243
    5. André Weil
      Pages 244-289
  4. Back Matter
    Pages 292-316

About this book

Introduction

)tPI(}jlOV, e~oxov (10CPUljlr1.'CWV Aiux., llpop. . .dsup.. The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by Chevalley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very well. It contained a brief but essentially com­ plete account of the main features of classfield theory, both local and global; and it soon became obvious that the usefulness of the intended volume would be greatly enhanced if I included such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather closely at some critical points.

Keywords

algebraic number field algebraic number theory number theory

Authors and affiliations

  • André Weil
    • 1
  1. 1.The Institute for Advanced StudyPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61945-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58655-5
  • Online ISBN 978-3-642-61945-8
  • Series Print ISSN 0072-7830
  • Series Online ISSN 2196-9701
  • Buy this book on publisher's site