[llamaz]

I've read parts of Halmos + Rudin, and I think that they would be a fast track to higher level pure math, but I've known people who've gone down such path and end up being able to prove Fubini's theorem using measure theory without understanding what it means.

The ideal approach for a self learner, which would simulate the university experience, would be doing as many problems in Schaum's outlines for math subjects and supplementing the info with textbooks/online resources.