First of all, you should learn the basics of mathematics well. One is advanced algebra (we use the fourth edition of Higher Education Society, but the third edition of Peking University is better and more classic) and mathematical analysis (the third edition of East China Normal University). These two books must be learned well, otherwise the follow-up courses will be very hard.

Then these two books will do. Let's have a look.

Probability and mathematical statistics is a very thick book with many contents. Now it's in its fourth edition. Statistics is actually quite good, and many people should use this knowledge.

There are ordinary differential equations, complex variable functions, and numerical analysis (also known as computational mathematics, which is a favorite course and useful if you develop into engineering).

Modern algebra is too abstract, and the whole book is defining theorems, but after you have studied it, you will have a new understanding of middle school mathematics, such as equivalence classes. Isn't it amazing?

Mathematical model is also very fun, that is, to build a model, but not as high as the model, to analyze and solve a practical problem, such as a simple example, isn't there a linear programming problem in high school mathematics? This is a model. There is also a national mathematical modeling competition in the university. Take part once if you have the chance. Really, you will benefit for life.

Operational research This is about planning optimization.

Real variable function &; I haven't studied either of these two courses, so I don't want to comment.

There is also elementary number theory, which I haven't studied either, but this course talks about some math problems that test your thinking, which is a bit like Olympic mathematics.

Then there is "click topology", which is more abstract and theoretical than modern times, but it can still be seen to expand your thinking.

In addition, there are many, many ... matrix analysis, discrete mathematics and so on ~ ~ ~

Learning math is not easy, but you are getting closer. In fact, mathematics is fun and practical.

Completely handwritten, hope to adopt, and send me gun _ tao @ 163.com if you have any questions.