Constructing maths

hi there.

i want to construct(*) maths (not everything but quite a bit) from ground up. i learned so much in lectures but this is worth nothing if i can't do it myself. so, what is the correct/best order to do this? i guess at the beginning there is logic, then set theory and then what? algebra? calculus? or something else?
i'm favouring algebra though because i want to leave out infinity for quite a while.

yeah i know this is stupid but i'm in the mood for _really learning something_, not just what the professor tells me and i pretend to understand.

help much appreciated, thanks.

(*) construct not as in constructivism. :P

>>6

well that's of course true. didn't think about it. i rather meant convergence, continuity, derivatives and integrals. i lack basics so hard... i just want to ignore them for a while.

>>2

isn't algebra necessary for metric and topological spaces? afaik i need a vector space first. :?

thanks for replies!