How to delve into mathematics before college?

Question

Mathematics

I just finished 11th grade, passed the Unified State Examination and now I am absolutely free, because of which the question arose: "what's next?"
I really like mathematics, I want to somehow connect my life with it, that's why I wanted to devote the summer to studying it. What materials are best for doing this? What books/courses/videos/whatever?
I think that there are some abilities for mathematics, the school curriculum (of my usual comprehensive school) is not at all difficult for me

Answer 1

The school curriculum is not difficult for almost everyone, you should look at the Olympiads mainly
. At a university, mathematics is usually divided into algebra and math analysis
. Algebra at a university is completely different, groups, rings, fields ... This is not possible for everyone, but maybe you will like it
But mat analysis, roughly speaking, is a continuation of the school curriculum, you can do it. Double, superficial, etc. integrals, partial derivatives, series, fcp, etc.
There is more than enough information on the Internet, just google the topic you need and solve various examples

Answer 2

I really like math

Bad, big bad. In my day, seventeen-year-old boys liked beautiful girls.
At the university they will tell you everything, and they will advise you on the books you need.
Yes? When I was ten years old, I drew fractals on graph paper, did calculations on a slide rule (there were no computers 40 years ago). And you?