Sadly my university does not offer combinatorics. It does not seem to be as interesting as logic, at least if it is anything like the bit of combinatorics one learns with probability theory. Generally, the more fundamental or philosophically relevant a part of math is the more interesting it seems to me.
If your university offering a topic as a course is a prerequisite for you, you might be able to narrow down LW’s suggestions by listing which mathematical courses are open to you.
I agree with the combinatorics recommendation, you may find it listed as “Discrete Mathematics” as a computer science course. (There are other things besides combinatorics included in discrete math, but elementary combinatorics is the major part of the course.)
ADDED: You might consider reading about math some. The book, The Mathematical Experience, by Philip Davis and Reuben Hersh is a wide-ranging discussion of philosophy and applications of math. It is sort of like listening to a group of math majors with a couple of grad students sitting around talking about what they’ve found interesting.
Sadly my university does not offer combinatorics. It does not seem to be as interesting as logic, at least if it is anything like the bit of combinatorics one learns with probability theory. Generally, the more fundamental or philosophically relevant a part of math is the more interesting it seems to me.
Consider Computational complexity theory, if you haven’t yet.
If your university offering a topic as a course is a prerequisite for you, you might be able to narrow down LW’s suggestions by listing which mathematical courses are open to you.
I agree with the combinatorics recommendation, you may find it listed as “Discrete Mathematics” as a computer science course. (There are other things besides combinatorics included in discrete math, but elementary combinatorics is the major part of the course.)
ADDED: You might consider reading about math some. The book, The Mathematical Experience, by Philip Davis and Reuben Hersh is a wide-ranging discussion of philosophy and applications of math. It is sort of like listening to a group of math majors with a couple of grad students sitting around talking about what they’ve found interesting.