- #1
algebraicpotato
- 10
- 4
I was browsing the math subreddit on Reddit just a moment ago, and came across someone who was asking for calculus textbooks to give to his precocious eleven year old. That got me thinking: Am I pursuing subjects that are too advanced for my level without trying to pursue rigor and depth? I quit olympiad math a few years ago because I didn't like the learning environment that I was in (which was a cram school), and now I don't know what I should be learning. Right now I'm trying to explore fields like machine learning and computational science, which inevitably require learning stuff like multivariable calculus and linear algebra. Which is fine because I don't really have trouble understanding the material. But when I try my hand at something like Real Analysis and Spivak, I find myself struggling to answer basic problems. I'd say at least some of it is partly because of lack of discipline, but still. I have also grown a sort of aversion to competitive math because of my peers who do it only to improve their chances at college admissions. What should I do to ensure that I have solid math skills? Go back to olympiad or try penetrating into rigorous higher level mathematics?