Hi folks. I'm entirely new to this forum, so I hope I'm asking this question at the right place. I'm a recent high school graduate waiting to enroll in college in Fall 2010. In general, I'm free for the majority of the next eight months. I hope to spend this time effectively transitioning into collegiate-level mathematics. In particular, I hope to be prepared for first-year theoretical developments of calculus (for a reference, see the honors calculus programs at http://math.uchicago.edu/~ershov/16100/" [Broken]) and for some degree of study in pure mathematics. My major will not be in mathematics and likewise, I don't wish to study mathematics because I want to become a mathematician or anything like that. I just hope to develop my logical thinking skills while learning enough math to supplement my course of study. My preparation thus far has been a relatively standard high school sequence. I've done AP Calculus BC, some complex numbers and some game theory. However, I've had very little experience with proofs and such. So I'm here to borrow from the collective wisdom of those who've managed to bridge that gap at some point in their education. What books/methods/websites/habits would you recommend so that I will be able to perform consistently well in college math classes? KIV that I have 8 months to get all of it down.