Algebraic Number Theory

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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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

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

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

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

  H. Koch

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