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Comments on Book suggestion for Tensor Calculus (Differential geometry)

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Book suggestion for Tensor Calculus (Differential geometry)

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I have studied Multi-variable calculus. Now, I am thinking to study Tensor calculus. As it is an important topic in General Relativity. I have found a book called (Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and). Should I read that book? I want to learn Math tools. And, is there something I should read before studying Tensor Calculus?

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From the title, I suspect that for your goal it's the wrong book (3 comments)
From the title, I suspect that for your goal it's the wrong book
celtschk‭ wrote over 2 years ago

I haven't looked into the book (therefore only a comment), but while the topics listed in the title are relevant for quantum theory, they are generally irrelevant or at most tangentially relevant for General Relativity. Therefore I suspect that it is not the best book if your goal is to understand General Relativity. The most important mathematical topic for General Relativity is differential geometry. I expect all books about that topic to also cover tensors, as they play a central role there.

deleted user wrote over 2 years ago

celtschk‭ so, which book would you suggest? (If you don’t have Link Than, just tell me the book name). And, i want to learn tensor calculus at first then i will read another book for GR (Thats what i have in my mind. But, if you have any book which also covers GR than, Thanks)

celtschk‭ wrote over 2 years ago

I personally learned GR, including the involved mathematics, from the book Gravitation by Misner, Thorne and Wheeler. However that's not a math book, therefore if you want mathematical rigour, that book likely isn't for you (e.g. IIRC you won't find any proofs there). Other than that I don't have specific recommendations, however you might look specifically for books that mention differential geometry and/or relativity theory in the title.