A very short introduction to the math behind general relativity, by Christine Moran @corbett.
http://codexgalactic.com/2015/08/11/paper-astrolabe-ruler-compass-a-short-introduction-to-the-math-behind-general-relativity/ …
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just saw this, but Sean Carroll wrote a whole textbook based on these notes, that still is my favorite textbook! https://www.preposterousuniverse.com/spacetimeandgeometry/ …
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