I'd recommend reading Knuth's The Art of Computer Programming for his perspective. Very math intensive and things you won't find in other textbooks. Definitel

I'd recommend reading Knuth's The Art of Computer Programming for his perspective. Very math intensive and things you won't find in other textbooks. Definitely a lot of discrete math (e.g. combinatorics), some calculus, number theory (esp. for cryptography), coding theory (e.g. for error correction), information theory, computational complexity theory. The border between theoretical computer science and math in general is very blurry, pretty much anything that is CS pretty quickly touches on more "traditional" mathematics. A lot depends on your area of programming, things like machine learning will definitely involve more linear algebra, calculus, statistics. If you're programming a 3d engine then again algebra, geometry, etc. Things like finite state machines have a mathematical underpinning. EDIT: From what I've seen at a university level CS program, Calculus, Linear Algebra, Discrete Math, Group Theory, Logic and Statistics were (IIRC) the core required math courses. Doesn't mean everything you learn there is applicable to any kind of program you might write but at least that's what someone thought was important...