If you want to learn well, you'd better keep studying. Read at least one question at a time. Generally speaking, every section of a book, I mean a section rather than a chapter, contains a major problem, including the problem's presentation and solution, and is complete. If we are separated in this place, we will basically start all over again next time.

Then after reading each section, pause and think about how this section raises the question, that is, what is the motivation, and then think about how this problem is solved. Every theorem will be a clue to solve the problem. If you can string together the whole idea, that's fine. There is no need to push everything yourself, but you must have a clear mind. Of course, pushing yourself is perfect. Also, the examples in the book can help you strengthen your understanding. If there are not enough books, you can turn over some problem sets.

Besides, why not take advantage of being from China and read some textbooks from China first? For example, I like Zhang Zhusheng's style very much. No superfluous words, clear clues. I think many foreign textbooks are quite verbose, and a simple thing has to be talked for a long time. There must be good textbooks abroad, such as Rudin's Score, but I think it is necessary to look at them in different levels. I'm still a high school student. If I want to enter the department of mathematics in the future, it's not too late to lay a solid foundation before brushing.

As for line generation, although it is different mathematics, it is similar to learning. Mainly grasp the linear transformation and linear space to understand, don't calculate and decompose in it, just think that line generation is calculation. In Amway, if you find calculation interesting, you can look at matrix analysis, numerical line substitution and so on.