Be honest, Veeky Forums.
Why are you studying pure mathematics on the side?
I'm not talking to mathematics majors. I'm talking to everyone else. Those people who aren't going to have careers in academic mathematics.
If you aren't studying pure mathematics solely for your own enjoyment or enrichment, then you are wasting your time. Here's the reality: you are never going to contribute to pure mathematics as an amateur. You are never going to solve a significant problem. You are never going to contribute to a new theory. Moreover, if you are studying pure mathematics because you think that's what smart people do, then stop. That pursuit is utterly pointless. You won't be able to show off your "impressive" knowledge (keep in mind that you probably will only ever be able to learn the undergraduate curriculum AT MOST as an amateur) because anything you say will just be Greek to the layman. The layman's eyes will glaze over; they won't be impressed.
If you are attempting to learn pure mathematics, and you find that your eyes are glazing over like the layman, then put that damn textbook down and do something you actually like. You're not impressing anyone. You're not going to unlock any great secrets about the universe. Life is too short for bullshit that you don't like and won't help you. On the other hand, if you do like pure mathematics, or you are studying it full time and will therefore be able to contribute to it, then you are spending your time well.