• 经典数学丛书?类域论(影印版)

经典数学丛书?类域论(影印版)

本店所售书籍均为新华书店全新特价正版书籍!

33.3 8.5折 39 全新

库存6件

广东汕头
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作者Nancy Childress

出版社世界图书出版公司

ISBN9787510070211

出版时间2014

装帧平装

开本24开

页数226页

定价39元

货号EM9971_1200855092

上书时间2022-06-12

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品相描述:全新
本店所售书籍均为正版新华特价新书,运费首本6元,每增加一本运费加2元,量大可优惠,每天下午2点前订单一般当天发出,最迟48小时内发出
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内容简介:
奇尔德雷斯编著的《类域论》将Gauss、Legendre和其他的二次和更高阶的互反率巧妙结合,并将这些结果更加一般化,是学习类域理论的入门书籍。本书运用传统方法和原始技巧呈现书中的材料,思路清晰流畅,是这个领域的图书很难企及的。本书可以作为代数数论的研究生教程,尤其适合自学。书中有大量的练习贯穿始终,已经被证明了是一本很成功的教材。
书籍目录:

1
A
Brief
Review
1
Number
Fields
2
Completions
of
Number
Fields
3
Some
General
Questions
Motivating
Class
Field
Theory
2
Dirichlet's
Theorem
on
Primes
in
Arithmetic
Progressions
1
Characters
of
Finite
Abelian
Groups
2
Dirichlet
Characters
3
Dirichlet
Series
4
Dirichlet's
Theorem
on
Primes
in
Arithmetic
Progressions
5
Dirichlet
Density
3
Ray
Class
Groups
1
The
Approximation
Theorem
and
Infinite
Primes
2
Ray
Class
Groups
and
the
Universal
Norm
Index
Inequality
3
The
Main
Theorems
of
Class
Field
Theory
4
The
Idelie
Theory
1
Places
of
a
Number
Field
2
A
Little
Topology
3
The
Group
of
Ide1es
of
a
Number
Field
4
Cohomology
of
Finite
Cyclic
Groups
and
the
Herbrand
Quotient
5
Cyclic
Galois
Action
on
Ideles
5
Artin
Reciprocity
1
The
Conductor
of
an
Abelian
Extension
of
Number
Fields
and
the
Artin
Symbol
2
Artin
Reciprocity
3
An
Example:
Quadratic
Reciprocity
4
Some
Preliminary
Results
about
the
Artin
Map
on
Local
Fields
6
The
Existence
Theorem,
Consequences
and
Applications
l
The
Ordering
Theorem
and
the
Reduction
Lemma
2
Kummer
n-extensions
and
the
Proof
of
the
Existence
Theorem
3
The
Artin
Map
on
Local
Fields
4
The
Hilbert
Class
Field
5
Arbitrary
Finite
Extensions
of
Number
Fields
6
Infinite
Extensions
and
an
Alternate
Proof
of
the
Existence
Theorem.
7
An
Example:
Cyclotomic
Fields
7
Local
Class
Field
Theory
1
Some
Preliminary
Facts
About
Local
Fields
2
A
Fundamental
Exact
Sequence
3
Local
Units
Modulo
Norms
4
One-Dimensional
Formal
Group
Laws
5
The
Formal
Group
Laws
of
Lubin
and
Tare
6
Lubin-Tate
Extensions
7
The
Local
Artin
Map
Bibliography
Index

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本店所售书籍均为正版新华特价新书,运费首本6元,每增加一本运费加2元,量大可优惠,每天下午2点前订单一般当天发出,最迟48小时内发出
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