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The best textbook for mathematical analysis
1)Fichkingolz's calculus course. A masterpiece of classical mathematical analysis. Ask an elderly math teacher, there are few who haven't read this book. The popular set theory is rarely involved in the book, but it has no influence on beginners and even makes some concepts clearer. Now this book is still applicable to teachers and students in the Department of Mathematics. Higher Education Press has translated and published the eighth edition of the book. A * * * is divided into three volumes, but the price is the most expensive of all the analysis books on the market now, adding up to more than one hundred and nearly two hundred yuan. If you don't want to spend your whole life with math, I suggest you borrow it from the library.

Fichkingolz's Principles of Mathematical Analysis. An abbreviated version of this book. But I haven't seen the latest versions, some of which are decades ago. If you don't mind reading old books, you can go to the library to look through them. You should be able to find books in traditional Chinese in the 1950s.

Principles of Mathematical Analysis written by Rudin is too difficult for domestic freshmen, including the contents of various courses such as real variable function, and the author assumes that you can understand a lot of things, so it is concise and clear. You may not understand it if you read it slowly, but it can be used as a good dictionary of mathematical analysis. Many years later, when you turn to a page casually and find that you can explain the ideas in this book with the ideas in the calculus course, then you can go to the university to be a professor of mathematical analysis. But it can be used as an improved book for mathematical analysis.

4) Mathematical Analysis, written by Chen, Jin Fulin, Zhu Xueyan and Ouyang Guangzhong, is two very cheap books and also a textbook for my undergraduate course. The old man who taught me to analyze criticized the book in a mess, saying that it was written from a physical point of view, and in some places you really don't know what you are talking about without listening to the teacher. However, the reason why I put it next to several famous books is because many universities use it as a teaching material or a designated book for postgraduate entrance examination. It can be said that it is an old textbook with outstanding advantages and disadvantages.