What next?

I've finished singe variable calculus and I want a taste of pure mathematics before I go to university next September. I'm going to get a grasp of sets and proof first but what next? Number theory, analysis or what? Book recommendations would be ideal!

>>16

Wrong.  If you like math, become a mathemetician.  If you like problem solving, become an engineer.

While problem solving and math skills have high correlation, there is a big difference between liking math and liking problem solving, and that difference leads to some people being better academics and others being better engineers.