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© 1997

Algebraic Number Theory

Book

Part of the Algebraic Number Theory book series (volume 62)

Table of contents

  1. Front Matter
    Pages i-7
  2. H. Koch
    Pages 8-89
  3. H. Koch
    Pages 90-150
  4. H. Koch
    Pages 150-192
  5. H. Koch
    Pages 192-219
  6. Back Matter
    Pages 237-269

About this book

Introduction

From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences:

"... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes."
Monatshefte fuer Mathematik, 1994
"... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians."
Acta Scientiarum Mathematicarum, 1993

Keywords

Algebraische Zahlentheorie Galois Kohomologie Klassenkörpertheorie algebra algebraic number theory class field theory finite field galois cohomology number theory

Authors and affiliations

  1. 1.Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V.Arbeitsgruppe “Algebraische Geometrie und Zahlentheorie” an der Humboldt-Universität zu BerlinBerlinGermany

Bibliographic information

  • Book Title Algebraic Number Theory
  • Authors H. Koch
  • Editors A.N. Parshin
    I.R. Shafarevich
  • Series Title Algebraic Number Theory
  • DOI https://doi.org/10.1007/978-3-642-58095-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-53386-3
  • Softcover ISBN 978-3-540-63003-6
  • eBook ISBN 978-3-642-58095-6
  • Series ISSN 0938-0396
  • Edition Number 1
  • Number of Pages V, 269
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 62 in the series: Encyclopaedia of Mathematical Sciences
  • Topics Number Theory
    Algebra
  • Buy this book on publisher's site
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Reviews

From the reviews: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Number theory is not easy and quite technical at several places, as the author is able to show in his technically good exposition. The amount of difficult material well exposed gives a survey of quite a lot of good solid classical number theory... Conclusion: for people not already familiar with this field this book is not so easy to read, but for the specialist in number theory this is a useful description of (classical) algebraic number theory." Medelingen van het wiskundig genootschap, 1995