I'm finishing up Spivak, after a break from "pure" math. I'm looking for a good follow up on multivariate analysis. I've heard that "Calculus on Manifolds" uses a lot of linear algebra (which I know very little of), so I'm on the look out for another suggestion. I'm looking for a book on the analysis side, rather than computational, in the spirit of Spivak (which is rather challenging, yet rewarding!). Suggestions?