I have some time this summer to spend learning maths, and I was going to begin studying real analysis with Rudin's "Principles of Mathematical Analysis". I have heard it is the best book if you have the time to study thoroughly, which I do (three almost uninterrupted months, although I plan to learn lots of other maths too). As someone who is mathematically able, but has not done Real Analysis (and will not study it at university) what is your recommendation that I read?

Added: My info comes from the incredivly positive amazon reviews, and the less positive Best Textbooks LW thread.