李群论（英文版） [Theory of Lie Groups] pdf epub mobi txt 电子书 下载 2025

简体网页||繁体网页

☆☆☆☆☆

[美] 科沃里（Claude Chevalley） 著

图书标签:

• 李群
• 李代数
• 数学
• 拓扑学
• 群论
• 抽象代数
• 高等数学
• 理论物理
• 微分几何
• 数学物理

出版社： 世界图书出版公司

ISBN：9787510050657

版次：1

商品编码：11142975

包装：平装

外文名称：Theory of Lie Groups

开本：24开

出版时间：2013-01-01

用纸：胶版纸

页数：213

正文语种：英文

内容简介

　　Expository books on the theory of Lie groups generally confine themselves to the local aspect of the theory.This limitation was probably necessary as long as general topology was not yet sufficiently well elaborated to provide a solid base for a theory in the large.These days are now passed， and we have thought that it would be'useful to have a systematic treatment of the theory from a global point of view. The present volume introduces the main basic principles which govern the theory of Lie groups.
　　A Lie group is at the same time a group， a topological space and a manifold: it has therefore three kinds of "structures，" which are interrelated with each other.The elem，entary properties of abstractgroups are by now sufficiently well known to the general mathematical public to make it unnecessary for such a book as this one to contain a purely group-theoretic chapter.The theory of topological groups， however， has been included and is treated in Chapter II. The great- est part of this chapteris concerned with the theory of covering spaces and groups， which is developed independently from the theory of paths. Chapter III is concerned with the theory of （analytic） mani-folds （independently of the notion of group）.Our definition of a manifold is inspired by the definition of a Riemann surface given by H. Weyl in his book。‘Die Idee der Riemannschen Flache"; it has， compared with the definition by overlapping system of coordinates， the advantage of being intrinsic.The theory of involutive systems of differential equations on a manifold is treated not only from the local point of view but also in the large. In order to achieve this， a defini-tion of the submanifolds of a manifold is given according to which a submanifold is not necessarily a topological subspace of the manifold in which it is imbedded.

内页插图

目录

INTRODCTION
Ⅰ.THE CLASSICAL LINEAR GROUPS
Ⅱ.TOPOLIGIVAL GROUPS
Ⅲ.MANIFOLDS
Ⅳ.ANAKYTIC GROUPS.LIE GROUPS
Ⅴ.THE DIFFERENTIAL CALCULUS OF CARTAN
Ⅵ.COMPACT LIE AND THEIR REPRESENTATIONG
INDEX

前言/序言

评分☆☆☆☆☆

不错。好书。。。。。。。。。。

评分☆☆☆☆☆

不错。好书。。。。。。。。。。

评分☆☆☆☆☆

送货速度快，服务态度好！数量不错！！

评分☆☆☆☆☆

经典教材，适合学术人才学习

评分☆☆☆☆☆

经典教材，适合学术人才学习

评分☆☆☆☆☆

已经有几本李群的书，不知道这本有没有独到之处，看了才知道。

评分☆☆☆☆☆

。。。。。。。。。。。。。。

评分☆☆☆☆☆

送货速度快，服务态度好！数量不错！！

评分☆☆☆☆☆

不错。好书。。。。。。。。。。