Quote:
Originally Posted by ygolo
After spending that much time in analysis-land, abstract algebra will be a cake-walk for you. It is a lot of fun too, a lot of applications to number theory (and to seemingly every branch of mathematics).
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I'm still in high school, but I worked most of the way through an abstract algebra book last year, and I'm working through real analysis now. I feel like I've got my brain half-dipped into something metaphisical when I understand a really abstract concept. There's nothing else like it.
I also did a tiny bit of number theory last year. I picked up most of what I learned to help with a problem I was trying to crack.