Most of the domestic mathematical analysis textbooks are rubbish. You copy me and I copy you, such as those in China Normal University and Fudan Ouyang Guang. Throw them away quickly, which will only mislead others' children. I'm afraid Chang Geng-zhe's Shi Jihuai or Zhang Zhusheng's are suitable for teaching materials, while Xu Sen-lin's can only be used as reference books. For specific reasons, please refer to the book review I gave in Douban, Chen Tianquan's. I heard that the viewpoint is very high, and it needs a high foundation to read. Fish's calculus course is very detailed, and some people even say that the classics are lengthy and there are too many branches. The name of this book is Calculus Course, but it is about the height of mathematical analysis. As for his Principles of Mathematical Analysis, it is a shortened version. You can see that the domestic textbooks are not good, which shows that you have a good eye. I don't know if you can read such a difficult and profound book written by Zhuo Ritchie and Herbert Oman. Oman's "Analysis" is a three-volume book, which is voluminous, bourbaki-style and a well-known German textbook. Starting from natural numbers, Tao Zhexuan's Real Analysis is the most professional analysis textbook I have ever seen, and it is also based on natural numbers. There are also errata and English versions of this book. You can also look at Apostol or Rudin's, Apostol's is easier to read, and dieudonne's analysis is more difficult to read. I appreciate your attitude. You must study hard. In addition, by the way, saying that China's textbooks are poor is by no means a blind booing with colored glasses, because the purpose of Professor China's book writing is not pure, and even a lot of content is not done by himself, so plagiarism is also very serious. Some professors really want to write books, but they don't have enough conditions, such as time and energy, which leads to the shortcomings of the written books. This is the disadvantage of education in China. Of course, there are some very good books, such as Chen Tianquan's, which can be compared with good foreign textbooks.