L*******t
发帖数: 2385 | 1 我想系统性的重温和学习如下知识：
Differential manifolds
Tangent Space and Cotangent Space
Connections, Lie Group and Lie Algebra
Principal Fiber Bundle and related Geometry
Homotopy and homology
Gauge Theory
我以前是学数学的，希望以上的概念和知识都是从数学的角度入手：）
请版上大牛推荐一些书和Notes吧，有PDF最好啦！ | l********e
发帖数: 3632 | 2 Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in
Mathematics) (v. 94)
有点基础看起来不难。 | p******e
发帖数: 1151 | 3 Try, Clifford Taubes
Differential geometry (Oxford graduate texts in math)
pros: cover most topics you need to know, it is brief and concise
cons: It is too short and brief in many places |
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