几何、拓扑与物理
Geometry, topology, and physics
Mikio Nakahara · 初版 1990 年
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“Geometry, Topology and Physics是理论与数学物理专业研究生及研究人员理想的微分几何与拓扑学入门读物。”——封套文案。
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Geometry, topology, and physics
Mikio Nakahara · 初版 1990 年
“Geometry, Topology and Physics是理论与数学物理专业研究生及研究人员理想的微分几何与拓扑学入门读物。”——封套文案。
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我觉得标准参考书大概是 Spivak 的《Calculus on Manifolds》，但这本从来没戳中过我。如果你有物理背景，那么 Nakahara 的《Geometry, Topology and Physics》和 Baez 与 Muniain 的《Gauge Fields, Knots and Gravity》结合来看可能会不错（我没列相对论教材，因为我觉得如果你有 GR 背景，那你的微分几何知识就已经够用了）……
I think the standard reference is probably Spivak's 'Calculus on Manifolds' but this never really did it for me. If you have a background in physics then some combination of Nakahara's 'Geometry, Topology and Physics' and Baez and Muniain's 'Gauge Fields, Knots and Gravity' might be good (I haven't included relativity textbooks as I assume it you have a background in GR then you have enough differential geometry).…
……水平：- Landau 的《Course of Theoretical Physics》 注意 Landau 这套极其硬核。如果你想在物理语境下非严格地学习现代物理所需的数学（拓扑）：- Nakahara 的《Geometry, Topology, and Physics》
…level: - Course of Theoretical Physics by Landau Note that Landau is extremely difficult. If you want to learn the math needed for modern physics (topology) in the context of physics, nonrigorously: - Geometry, Topology, and Physics by Nakahara