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Algebraic Number Theory

  • Book
  • © 1997

Overview

Authors:
  1. H. Koch

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-7
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  2. Basic Number Theory

    • H. Koch
    Pages 8-89

  3. Class Field Theory

    • H. Koch
    Pages 90-150

  4. Galois Groups

    • H. Koch
    Pages 150-192

  5. Abelian Fields

    • H. Koch
    Pages 192-219

  6. Artin L-Functions and Galois Module Structure

    • H. Koch
    Pages 219-237

  7. Back Matter

    Pages 237-269
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Keywords

About this book

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

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

Authors and Affiliations

  • Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V., Arbeitsgruppe “Algebraische Geometrie und Zahlentheorie” an der Humboldt-Universität zu Berlin, Berlin, Germany

    H. Koch

Bibliographic Information

  • Book Title: Algebraic Number Theory

  • Authors: H. Koch

  • DOI: https://doi.org/10.1007/978-3-642-58095-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Hardcover ISBN: 978-3-540-53386-3Due: 06 August 1992

  • Softcover ISBN: 978-3-540-63003-6Published: 12 September 1997

  • eBook ISBN: 978-3-642-58095-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: V, 269

  • Additional Information: Originally published as volume 62 in the series: Encyclopaedia of Mathematical Sciences

  • Topics: Number Theory, Algebra

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