Title: I have an undergraduate background in applied math and have taken basic linear algebra, differential equations, mathematical statistics and multivariate calculus. I'm rusty though, and I've been considering applying for PhD programs in statistics. I'd like to put myself on a healthy math regiment and I was wondering if people had suggestions on books or other materials to work on advanced (linear) algebra and analysis? I'm more than willing to spend an hour per page and do all the exercises, but I would like good exposition. My end goal is to have a reasonable understanding of things to make limit theorems in probability (during the first year of my PhD), etc, easier.
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