I’ve taken a few courses in advanced calculus and real analysis (adv calc 1, metric spaces, normed spaces, lebesgue integration), but I’m realizing that my advanced calculus/R^n analysis is not as strong as I’d like it to be.
So here’s my question: If I’m planning on spending this summer (4 months) reviewing advanced calculus/R^n analysis, what books/resources would you recommend?
I haven’t seen this question posted on here before, so I don’t think (hope) it’s not duplicate. I’m looking for books/resources which (1) give good exercises, (2) don’t shy away from the more difficult theorems, since I’ve had experience with analysis before, (3) will be at least fairly readable (at least as readable as baby Rudin), & (4) cover at least some of important topology of R^n. (5) Fourier series would be nice but not necessary.