抽象代数讲义(第3卷)

所属分类:数学  
出版时间:2000-12   出版时间:世界图书出版公司   作者:Nathan Jacobson   页数:217  
Tag标签:数学,GTM,抽象代数,代数,数学专论  

内容概要

  The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II.

书籍目录

INTRODUCTIONSECTION1.
Extension
of
homomorphisms2.
Algebras3.
Tensor
products
of
vector
spaces4.
Tensor
product
of
algebrasCHAPTER
I£oFINITE
DIMENSIONAL
EXTENSION
FIELDS1.
Some
vector
spaces
associated
with
mappings
of
fields2.
The
Jacobson-Bourbaki
correspondence3.
Dedekind
independence
theorem
for
isomorphisms
of
a
field4.
Finite
groups
of
automorphisms5.
Splitting
field
of
a
polynomial6.
Multiple
roots.
Separable
polynomials7.
The
"fundamental
theorem"
of
Galois
theory8.
Normal
extensions.
Normal
closures9.
Structure
of
algebraic
extensions.
Separability10.
Degrees
of
separability
and
inseparability.
Structure
of
normal
extensions11.
Primitive
elements12.
Normal
bases13.
Finite
fields14.
Regular
representation,
trace
and
norm15.
Galois
cohomology16.
Composites
of
fieldsCHAPTER
II£oGALOIS
THEORY
OF
EQUATIONS1.
The
Galois
group
of
an
equation2.
Pure
equations3.
Galois'
criterion
for
solvability
by
radicals……

编辑推荐

The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II.

图书封面

图书标签Tags

数学,GTM,抽象代数,代数,数学专论


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用户评论 (总计21条)

 
 

  •     这是代数学方面的一本经典著作,据闻作者曾任美国数学会的历时长。三卷本的《抽象代数讲义》和两卷本的《基础代数学》内容都差不多,不过后者的名气在国内远远胜过前者,只是国内目前很难找到那本书,一些特殊情况才能够找到后者的中译本。这样,前者可以说是一个极好的替代品。
  •     给儿子买的,书挺不错的
  •     比较适合学代数的人看。,讲诚信.
  •     有一点群论的基础都可以读的,很有实用价值。很好
  •     书内容很好,随手翻翻!
  •     是李代数入门的最好书,他的这本《代数数论讲义》是一本很好的代数数论入门的书。
  •     送货速度快,挺扎实的一本书
  •     这本值得收藏!,这一系列的书很好
  •     希望以后继续合作。,应该不错
  •     发货很快,翻译的千万不要看
  •     现在正在看,内容比较深奥
  •     不过现在还没时间学。,毫无疑问
  •     受益匪浅。是作者独特的表示方法。,现在收藏着
  •     书内容不错,经典
  •     大数学家的著作,希望通过这门课程学习能提高代数拓扑的修养!
  •     看到了很丰富的群论内容,强烈推荐!
  •     很满意!,这是一本几何学方面值得阅读的好书。希望世图今后在印发经典好书方面再接再厉。
  •     敢情拿陈货当新货呢,推荐读一下
  •     越早看越好,经典教材
  •     虽然要看内在,内容和质量都很好。GTM系列丛书是很好的数学教材。
  •     国外的实分析都各有特色,图论的相关内容
 

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