I am currently skimming through the differential forms book by Edwards. I was wondering whether real analysis is basically just a special case of differential forms? I am learning about flows, 1-forms, 2-forms, Fundamental Theorem of Calculus, etc...
These seem to be analogous to the topics in a typical real analysis course. So is the differential forms approach just a high level approach to real analysis? Would I appreciate real analysis more if I first go through differential forms? It seems to illuminate the machinery behind multivariable calculus.