How to study mathematics after a school course?

Question

Mathematics

I am very interested in mathematics.
I would like to study it myself, but I do not know how.
I myself know the school course well and a little analysis.
I would like to hear advice. What to learn and how, what books to read, etc.

Answer 1

YouTube channel Nauka 0+, there is a course on Butuzov's mathematical analysis and Shishkin's linear algebra, there are also textbooks and problem books by these authors.

Answer 2

View courses in Russian on Coursera. For example, Math for everyone

Answer 3

You can look at the lecturerium channel, there is a fairly large number of higher mathematics and not only.
There is also a website of the MFTI lecture hall.
You can look at the curricula of any universities (if you want to study mathematics sequentially).

Answer 4

Penrose's books are good, if you don't get hung up on his philosophical ideas.
It is worth starting the study with set theory - without it, the rest of mathematics remains a rewriting of formulas.
And then - what is interesting: algebra (better to start with group theory), geometry (topology), mathematical logic, discrete mathematics, statistics.

Answer 5

If you really like it, go to college. Otherwise there will be problems. You do not know what exactly, in what volumes and how to learn. And they will tell you there. In addition, someone has to check hundreds of solved problems.