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But to get back on topic - the issue at hand is, that while I am very good deriving different formulas, Correlations and more "visuel" proofs mathematically, i seem to Be having a hard time grasping the art of deriving proofs in some of the more abstract maths such as real analysis, set theory and number theory, which is essentially what higher level mathematics is all about I guess. Doing proofs in that area of mathematics is quite difficult to me, and I can only proof the simplest traits hehe.

So what I want to know is whethe you mathematicians out there also had a hard time doing proofs in real analysis and number theory in the middle of high school, if so, I might be able to improve. If not, my understanding of physics/math is that there a less proofs of that distinction in physics, and more deriving correlations such as I'm doing now, in a very simplified manner of course! :) so maybe I am more of a physics kind of person? I think the whole real analysis scheme is very interesting, and I would love to study it, but it seems that my mastery of the subject is kind of lacking. I haven't spent that much time with it yet though, but that is mostly due to it being rather discouraging to be stuck in a trivial proof-assignment .. :)

If I was not to choose mathematics I would definitely love to go into theoretical physics, maybe particle or astrophysics.

Which would you say were the most difficult? Astro, particle physics or pure math? Aiming for research in all of them:) which would you say is right for me given my preference and my traits?