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Algebraic Number Theory

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Algebraic Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

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

Table of Contents

Preface.- Basic Number Theory.- Class Field Theory.- Galois Groups.- Abelian Fields.- Artin L-Functions and Galois Module Structure.- Appendix 1: Fields, Domains and Complexes.- Appendix 2: Quadratic Residues.- Appendix 3: Locally Compact Groups.- Appendix 4: Bernoulli Numbers.- Tables.- References.- Author Index.- Subject Index.

Product Details

ISBN:
9783540630036
Editor:
Shafarevich, I. R.
Editor:
Parshin, A. N.
Editor:
Shafarevich, I. R.
Author:
Shafarevich, I. R.
Author:
Koch, H.
Author:
Parshin, A. N.
Publisher:
Springer
Subject:
Number Theory
Subject:
Fields, algebraic
Subject:
Algebraic number theory
Subject:
Class field theory
Subject:
Galois cohomology
Subject:
Algebraische Zahlentheorie
Subject:
Galois Kohomologie
Subject:
Klassenkrpertheorie
Subject:
Algebra
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
1
Edition Description:
1st ed. 1992. 2nd printing
Series:
Encyclopaedia of Mathematical Sciences
Series Volume:
62
Publication Date:
October 1997
Binding:
TRADE PAPER
Language:
English
Pages:
274
Dimensions:
235 x 155 mm 880 gr

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