点击选择搜索分类
首页 - 文化刊物- 正文
☆☆☆☆☆
||
Frank W.Warner 著
店铺: 墨轩书屋图书专营店 出版社: 世界图书出版公司 ISBN:9787506266055 商品编码:12680377762 包装:平装 出版时间:2004-04-01 用纸:胶版纸 页数:272 内容简介This book provides the necessary foundation for students interested in any of the diverse areas of mathematics which require the notion of a differentiable manifold. It is designed as a beginning graduate-level textbook and presumes a good undergraduate training in algebra and analysis plus some knowledge of point set topology, covering spaces, and the fundamental group. It is also intended for use as a reference book since it includes a number of items which are difficult to ferret out of the literature, in particular, thecompleteand self-contained proofs of the fundamental theorems of Hodge and de Rham.目 录1 MANIFOLDS
Preliminaries
Differentiable Manifolds
The Second Axiom of Countability
Tangent Vectors and Differentials
Submanifolds, Diffeomorphisms, and the Inverse Function Theorem
Implicit Function Theorems
Vector Fields
Distributions and the Frobenius Theorem
Exercises
2 TENSORS AND DIFFERENTIAL FORMS
Tensor and Exterior Algebras
Tensor Fields and Differential Forms
The Lie Derivative
Differential Ideals
Exercises
3 IE GROUPS
Lie Groups and Their Lie Algebras
Homomorphisms
Lie Subgroups
Coverings
Simply Connected Lie Groups
Exponential Map
Continuous Homomorphisms
Closed Subgroups
The Adjoint Representation
Automorphisms and Derivations of Bilinear Operations and Forms
Homgeneous Manifolds
Exercises
4 INTEGRATION ON MANIFOLDS
5 SHEAVES,COHOMOLGY,AND THE DE RHAM THEOREM
6 THE HODGE THEOREM
BIBLIOGRAPHY
SUPPLEMENT TO BIBLIOGRAPHY
INDEX OF NOTATION
INDEX
9787506266055 可微流形和李群基础 世图科技 电子书 下载 mobi epub pdf txt
9787506266055 可微流形和李群基础 世图科技-so88
9787506266055 可微流形和李群基础 世图科技 pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Frank W.Warner 著
店铺: 墨轩书屋图书专营店 出版社: 世界图书出版公司 ISBN:9787506266055 商品编码:12680377762 包装:平装 出版时间:2004-04-01 用纸:胶版纸 页数:272 内容简介This book provides the necessary foundation for students interested in any of the diverse areas of mathematics which require the notion of a differentiable manifold. It is designed as a beginning graduate-level textbook and presumes a good undergraduate training in algebra and analysis plus some knowledge of point set topology, covering spaces, and the fundamental group. It is also intended for use as a reference book since it includes a number of items which are difficult to ferret out of the literature, in particular, thecompleteand self-contained proofs of the fundamental theorems of Hodge and de Rham.目 录1 MANIFOLDS
Preliminaries
Differentiable Manifolds
The Second Axiom of Countability
Tangent Vectors and Differentials
Submanifolds, Diffeomorphisms, and the Inverse Function Theorem
Implicit Function Theorems
Vector Fields
Distributions and the Frobenius Theorem
Exercises
2 TENSORS AND DIFFERENTIAL FORMS
Tensor and Exterior Algebras
Tensor Fields and Differential Forms
The Lie Derivative
Differential Ideals
Exercises
3 IE GROUPS
Lie Groups and Their Lie Algebras
Homomorphisms
Lie Subgroups
Coverings
Simply Connected Lie Groups
Exponential Map
Continuous Homomorphisms
Closed Subgroups
The Adjoint Representation
Automorphisms and Derivations of Bilinear Operations and Forms
Homgeneous Manifolds
Exercises
4 INTEGRATION ON MANIFOLDS
5 SHEAVES,COHOMOLGY,AND THE DE RHAM THEOREM
6 THE HODGE THEOREM
BIBLIOGRAPHY
SUPPLEMENT TO BIBLIOGRAPHY
INDEX OF NOTATION
INDEX
9787506266055 可微流形和李群基础 世图科技 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 满58包邮 伽利略眼中的科学 9787531692195 【美】劳伦斯·利普金,卢东民、
- 孕前产后必修课(准妈妈**手册)
- 嗨!元素 奇幻旅程
- 协和怀孕40周同步全书怀孕圣经孕期书籍 大全怀孕完美方案胎教 故事 新生婴儿护理一本通 好
- (青少年“海洋梦”系列丛书)海立云垂——海洋工程与海港 “海洋梦”系列丛书编委会
- 像我这样做妈妈(孕期饮食看这里)
- {RT}鸟类-美国不列颠百科全书公司著,康健 中国农业出版社 9787109170155
- 40周怀孕全程指导
- 奥秘世界
- 企业理财学
- “制冷在你身边”科普系列:制冷空调供暖实用知识365问
- 中国中小商业银行发展模式研究
- 陆地奇观-新编少年儿童十万个为什么
- 炒金制胜法则:入门、技术与实战 王子微 经济管理出版社
- 恐龙世界 侏罗纪