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Foundations of Differentiable Manifolds and Lie Groups 评分:

科学出版社出了这本名著的中译本不久。 低起点,高观点,风格独特,简与详之处都可见作者的风格
2009-11-17 上传大小:9.9MB
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2008 瓦内尔-微分流形与李群基础中文版.pdf

翻译自瓦内尔所著Foundations of Differentiable Manifolds and Lie Groups

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Mathematics] Foundations of Differentiable Manifolds and Lie Groups

GTM,研究生数学教材,这个不用多说了。其中关于李群李代数的一本非常好的书

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微分几何与李群讲义

Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; Bundles, Riemannian Metrics, Homogeneous Spaces; Differential Forms; Integration

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Riemannian Manifolds-An Introduction to Curvature(GTM176).pdf

John M.Lee三本经典第三本,涵盖黎曼流形,联络,曲率,测地线,子流形等,有拓扑和微分流形,张量等的简介,具体可查看前两本

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lie groups or algebras

These notes are the outgrowth of a graduate course on Lie groups I taught at the University of Virginia in 1994 In trying to find a text for the course I discovered that books on Lie groups either presuppose a knowledge of differentiable manifolds or provide a mini course on them at the beginning

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Lie Groups, Lie Algebras, and Representations

Lie Groups, Lie Algebras, and Representations基础理论介绍

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Gilmore - Lie Groups, Physics and Geometry

李群李代数入门讲义,经典教材,内容比较好懂,矩阵表达

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An Introduction to Differentiable Manifolds and Riemannian Geometry.djvu

An Introduction to Differentiable Manifolds and Riemannian Geometry.djvu

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Lie Groups, Lie Algebras, and Representations: An Elementary Introduction

此书从开始即从矩阵切入,从代数而非几何角度引入矩阵李群的概念。并通过定义运算的方式建立exponential mapping,并就此引入李代数。这种方式比起传统的通过“左不变向量场(Left-invariant vector field)“的方式定义李代数更容易为人所接受,也更容易揭示李代数的意义。最后,也有专门的论述把这种新的定义方式和传统方式联系起来。

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stochastic models information theory and lie groups

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series reflects the importance

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Warner-Foundations of Differentiable Manifolds

整理资料的时候发现的,当时费老劲找到的一本书。这本书讲了微分流形的构造,时间长远,对于本科学习微分流形的同学有很高的帮助。

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Analysis and Algebra on Differentiable Manifolds A Workbook

Analysis and Algebra on Differentiable Manifolds A Workbook for Students and Teachers

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Lie group Lie algebras and representations By Brian C.Hall.pdf

Lie group Lie algebras and representations an elementary introduction By Brian C.Hall.pdf. 此书从开始即从矩阵切入,从代数而非几何角度引入矩阵李群的概念。并通过定义运算的方式建立exponential mapping,并就此引入李代数。这种方式比起传统的通过“左不变向量场(Left-invariant vector field)“的方式定义李代数更容易为人所接受,也更容易揭示李代数的意义。最后,也有专门的论述把这种新的定义方式和传统方式联系起来。

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Matrix Group - An Introduction of Lie group theory

Matrix Group - An Introduction of Lie group theory

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Compact Lie Groups and Their Representations

Compact Lie Groups and Their Representations

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Stochastic Models, Information Theory, and Lie Groups Volume 2

机器人状态估计经典理论

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Stochastic Models, Information Theory, and Lie Groups Volume 1

机器人状态估计理论经典

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Lie Groups and Lie Algebras ADAM M. BINCER

一本介绍Lie Group的书,作者 ADAM M. BINCER

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紧致李群表示

098 - Representations of Compact Lie Groups - Broecker Dieck

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Lie Groups for 2D and 3D Transformations

This document derives useful formulae for working with the Lie groups that represent transformations in 2D and 3D space. A Lie group is a topological group that is also a smooth manifold, with some other nice properties. Associated with every Lie group is a Lie algebra, which is a vector space discu

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Foundations of Differentiable Manifolds and Lie Groups

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