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Number Fields (Universitext)

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Number Fields (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

Description:

Includes bibliographical references (p. [272]) and indexes.

Table of Contents

Contents: A special case of Fermat's conjecture.- Number fields and number rings.- Prime decomposition in number rings.- Galois theory applied to prime decomposition.- The ideal class group and the unit group.- The distribution of ideals in a number ring.- The Dedekind zeta function and the class number formula.- The distribution of primes and an introduction to class field theory.

Product Details

ISBN:
9780387902791
Author:
Marcus, Daniel A.
Publisher:
Springer
Location:
New York :
Subject:
Number Theory
Subject:
Algebra - General
Subject:
Algebraic number theory
Subject:
Algebraic fields
Subject:
Fields
Subject:
Algebraische Zahlentheorie
Subject:
Zahlenkrper
Subject:
Algebra
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
3
Edition Description:
1st ed. 1977. Corr. 3rd printing
Series:
Universitext
Series Volume:
no. (ADM)
Publication Date:
19770930
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
292
Dimensions:
235 x 155 mm 910 gr

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Product details 292 pages Springer-Verlag - English 9780387902791 Reviews:
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