9787506266055 可微流形和李群基础世图科技下载 mobi epub pdf 电子书 2024

☆☆☆☆☆
简体网页||繁体网页

Frank W.Warner 著

下载链接在页面底部

点击这里下载

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到新城书站

book.cndgn.com

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

发表于2024-11-27

图书介绍

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

类似图书点击查看全场最低价

图书描述

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下载 mobi epub pdf txt 电子书格式