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cristo

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Hartle tries to present as much physics as possible before introducing tensors. His book is also among the most up to date. The place to start for GR, though I'd want to have a good grounding in SR first.

https://www.amazon.com/dp/0805386629/?tag=pfamazon01-20&tag=pfamazon01-20

Some other books of interest:

https://www.amazon.com/dp/020138423X/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0198506562/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0935702016/?tag=pfamazon01-20&tag=pfamazon01-20

A more advanced book that covers some GR calculations by "deriving" linear gravitational field equations in analogy with electrodynamics:

https://www.amazon.com/dp/0393965015/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0805386629/?tag=pfamazon01-20&tag=pfamazon01-20

Some other books of interest:

https://www.amazon.com/dp/020138423X/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0198506562/?tag=pfamazon01-20&tag=pfamazon01-20

https://www.amazon.com/dp/0935702016/?tag=pfamazon01-20&tag=pfamazon01-20

A more advanced book that covers some GR calculations by "deriving" linear gravitational field equations in analogy with electrodynamics:

https://www.amazon.com/dp/0393965015/?tag=pfamazon01-20&tag=pfamazon01-20

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I learned tensor calculus from my GR text....

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Yeah most of the GR textbooks (even Wald) introduce the math needed along the way including tensors, tetrads, tangent spaces, covariant derivaties, Lie derivatives etc etcI learned tensor calculus from my GR text....

As Daverz mentioned the most gentle introduction is Hartle, I think it only presumes calculus. After that either

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Hartle is better, from what I've seen, but Cheng's book has only 300 pages, as opposed to Hartle's 600+. (I was a little short of time, because of a 15-day summer school.)

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