Advanced mathematics refers to the branch of mathematics that studies function series with calculus, which is relative to elementary mathematics. Combinatorial mathematics is a branch of discrete mathematics, which was founded by a gambler to calculate the possibility of winning or losing poker. If you like buying lottery tickets and can learn combinatorial mathematics, then you may give up buying lottery tickets.
The foundation of advanced mathematics is calculus, and the research method is calculus.
If you want to have a comprehensive understanding of mathematics, I suggest you go to Dangdang to buy the book What is Mathematics.