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dx

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Linear algebra.

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Fredrik

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To move beyond that, you're going to have to study differential geometry, either from a GR book, or from a differential geometry book. I think the best one is "Introduction to smooth manifolds" by Lee. If you want to get a rough idea what sort of things you will learn there, check out this post, the one I linked to in it, and the ones I linked to in the one I linked to.

Every book on differential geometry assumes that you know calculus and some real analysis and topology (limits, continuity, etc). This will make it hard for you do all of this

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