Dive into math?

Question

Mathematics

Hello, I study at the university and I have higher mathematics and on it, like at school, we learn to solve more and more new problems without delving into the essence of mathematics, how do we use matrices or limit theory in reality, what problems can we solve with the help of mathematics and why all this is needed at all. Why does mathematics look like this and not otherwise. I would like to understand this better and I ask you to suggest me literature or interesting people who are related to mathematics.

Answer 1

Mathematics as a science does not think about applied use, as a result of which you are trying not to go deep, but to go beyond it. Well, the essence of mathematics - the construction of abstractions and the description of their properties - you also have not caught yet.

Answer 2

Do you want to know how deep the rabbit hole goes? Field theory (algebra) and functional analysis will help you immerse yourself. But for this dive, there must be a skill, this is how to hold your breath underwater for a long time.
Or in an easy way - any book on the history of mathematics, just for noobs "chi square"

Answer 3

I advise you to read 2 good theoretical textbooks in parallel - these are Fikhtengolts and Zorich. Try to prove theorems. And in order to understand the docs, you will need to take a school course for a mat. schools. The question about interesting people is, of course, comical. Well, I don't know, Misha Verbitsky is quite an interesting person, have fun.