>>12861840So ur in India?what r u doing rite now?
If u wish to learn rigorous math,start of with Euclidean geometry (class 9 & 10). It gives u an idea of proving things,then work ur way up with pre calc algebra such as inequalities,theory of equations,etc. ( These things can be covered quite well if ur preparing for say high school Olympiads). Then venture into combinatorics and may be a bit of number theory( don't go too deep on this one )and then start of with any standard calc 1and 2 textbook(Thomas's calculus,j Stewart,u get it) and then start following any rigorous undergrad math program (ISI,CMI,IISC,IIT Bombay) . Oh and finally try doing books like "how to prove it"and "how to think about analysis" b4 starting ur journey into mathematics. I think ur doing this for some leisure or hobby anon.