Stfu tranny. Kys.
Anyways, a book for Riemmanian manifolds?? So.... Um. First off. You’ll need to learn: linear algebra, calculus 1-3, and real analysis, and some communative algebra. Then, a good book is: “An introduction to manifold theory”- loring tu, for manifolds, and “Algebraic Geometry”- Hartshorne, for Rieman surfaces. You could also just read Spivaks 3 volumes. But, what I’m saying is clusterfucked.
If you want to learn what a manifold is, learn point set topology, and use wiki. Then, if you want to know what a rieman surface is, learn Loring tu, then use Wikipedia. The other books just go in depth. But this looks pretty dense, if in fact it’s not a popsci book, from the table of contents. So, it could actually be useful to get all of the courses, the books I mentioned, before going in. It also talks finer bundles.
So, for differential geometry, I told you the prerequisites: point set topology, linear algebra, maybe real analysis.
It also seems to talk about algebra, so learn abstract algebra, a good book on that is Bourbaki, and I used dummit and foote for the basic algebra, but Lang looks better. So use Lang. Don’t listen to retards on this board about Lang, they’re clearly Sooners. Oh yeah. Dude you need to learn differential geometry. “Lie derivative, torsion”.
So then for diff geo: spivak and loring tu are excellent. First three volumes of spivak, and the loring th “manifold theory”. Then the rest idk.
