Thanks a lot, especially for the names of the books. After reading yours and other advice in this thread I am convinced that the way to get up to speed quickly would be to start with harder problems and backtrack as needed. Do you have any recommendations on books on analysis, the one I have with me is Walter Rudin.
I studied in a school that uses the Moore method along with the Professor's notes. This meant that any analysis textbooks were kind of banned. Rudin however is supposed to be fine (a bit harder but that is what you probably need). Also, Spivak is so freaking good that once you are done with that, Rudin should become much much easier to grasp and follow.
