I want to study Differential Geometry for General Relativity. I find even the introductory books very tough. My background:
- College calculus - a general course, not for mathematicians
- Linear Algebra - introductory course
- Some calculus I've managed to study myself - a bit of vector analysis, some diff. equations.
While reading Diff. Geometry books I feel that my math. background is probably lacking, but I don't know what areas exactly should I cover to start Diff. Geometry.
I've tried two books and I found both starting from math I'm not quite familiar with:
- The Geometry of Physics by Frankel
- Diff. geometry and Topology course by Fomenko and Mishenko
Do I really miss some necessary prerequisites, or should I just soldier on?
Advice is most welcome.