Topology

As far as the canonical texts of math goes, Dummit and Foote is excellent. I'm also fond of the first half of Munkres' Topology.

I'm a big fan of SICP. I'd describe it as "hard-core": requiring hard work, but extremely rewarding for the people who take the time and effort to go through it. I'd recommend the following three books to similarly cover the three main areas of higher mathematics (analysis, algebra, and topology): 1. Principles of Mathematical Analysis by Rudin (http://www.amazon.com/Principles-Mathematical-Analysis-Inter... (http://www.amazon.com/Principles-Mathematical-Analysis-International-Mathematics/dp/007054235X)) 2. Algebra by Artin (http://www.amazon.com/Algebra-2nd-Featured-Titles-Abstract/d... (http://www.amazon.com/Algebra-2nd-Featured-Titles-Abstract/dp/0132413779)) 3. Topology by Munkres (http://www.amazon.com/Topology-2nd-James-Munkres/dp/01318162... (http://www.amazon.com/Topology-2nd-James-Munkres/dp/0131816292))…