Geometry, topology, and physics
by Mikio Nakahara · first published 1990
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"Geometry, Topology and Physics is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics."--Jacket.
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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).…
on “Learning Math for Machine Learning” ↗…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
on “Ask HN: Expository/Succinct Books on Modern Physics” ↗