The first masterpiece of mathematical analysis, don't be scared by its voluminous works. I strongly recommend you to have a look, even if you buy a collection. It is not recommended to look at the price when buying books, but to read books. A good textbook can lay a solid foundation and affect future study.

2 Principles of mathematical analysis.

Shorthand of the last book is not recommended. Want to read it?

3 "Mathematical Analysis" Zhuo Liqi

This idea is very new and popular in recent years, but it seems unnecessary.

4 Introduction to Mathematical Analysis Qin Xin

There are no exercises after class, but the corresponding exercises in Jimmy Dovich's mathematical analysis exercise set are recommended. However, with the update of the problem set, the questions no longer match, but Qin Xin's writing style is still good.

5 "Lecture Notes on Mathematical Analysis" Ahbov et al.

The handout of Moscow University is only a handout, which is extremely difficult to read, but it is good for the knowledge points.

6 "Eight Lectures on Mathematical Analysis" by Qin Xin

A master is a master, which is highly recommended.

7 "Principles of Mathematical Analysis" Rudin

China's mathematics was studied in the Soviet Union, which is similar to Russian textbooks, so it won't be difficult to read Russian books. But this American book is worth reading. Written simply and clearly, you can try to deduce the above theorem yourself.