>tfw still can't draw decent looking integral signs
the always end up either looking like an S or like a very slightly bent straight line
I like basic and general areas of mathematics; namely pure mathematics. Their's four big areas; algebra, analysis, geometry, and topology; number theory and arithmetic is scattered all elsewhere. So it's better to pin point your interests in four areas of mathematics instead of one.
Cool, another set theory bro. What field specifically are you into?
I probably like algebra the most, but I have been very impressed by the power of probability.
I think it has a stigma attached to it causing people with a "pure" bend (which sounds kinda stupid to begin with) to dismiss it as a nonrigorous or purely applied field whereas it yields without much effort some powerful theoretical results (for example, I remember a very elegant proof of the Radon-Nikodym theorem for the Lebesgue measure using a martingale convergence argument)
>not using duckology and its applications to discrete maths
Combinatorialist here. That's stupid. I borrow heavily from computer science, especially data structures and algorithms, in my work.
It's true you barely cover the basics in a discrete math course, but why be so divisive?
Seeing conic sections again got me thinking about cases. But I was also thinking about a few degenerate cases.
Can /sci/ think of any more degenerate cases, where the cone is "nice"?
Because most CS majors act like they are masters of the subject after taking a single discrete math course while barely grasping the material in it.
toplelogy is definitely one of the pillars of math. you will use results of it in some form in nearly every graduate level pure maths class. we used it in model theory (logic), it's used a lot in homotopy, algebraic geometry (and also in both of their connections to number theory), not to mention some complex analysis, and the theory of manifolds as a whole.