Course of Calculus and Principles of Mathematical Analysis.

The previous book, three volumes in Russian and eight volumes in Chinese;

The latter book consists of two volumes in Russian and four volumes in Chinese.

This book is a classic.

In fact, even the author (a professor at Moscow or Leningrad University with many disciples, including the famous mathematician Kantrovich who later won the Nobel Prize in Economics) admitted that it was not suitable as a teaching material, so he gave it.

The latter set of books, which can be used as teaching materials, can be said to be a simplified version (finally supplemented by the introduction of subsequent courses).

I believe that until today, many teachers will still look for "calculus course" when they start classes, because there are too many examples in it. If you want to lay a solid foundation, you can consider making the example an exercise with an answer. Of course, not every problem can be done. Don't blame me if you finish all the questions there and then meet what you have done during the exam.

There is no doubt that this set of books represents the highest level of dealing with mathematical analysis in a classical way (meaning that the concepts of real variables and functionals are not introduced). Considering that there are hundreds of thousands of prints in China, only Gulsat's books in the world can compare with them.

Both sets of books are in the map.

Apostol

"mathematical analysis"

In the west (western Europe and the United States), this should be regarded as a relatively complete textbook, which is available in general libraries.

3.w. Rudin

"Principles of Mathematical Analysis"

(There is a Chinese translation: Principles of Mathematical Analysis by Lu Ding, which is shown in the picture)

This is also a very good book. As we can see later, this gentleman has written a series of teaching materials. The teaching method of this book (referring to the use of some symbols and terms) is also very good.

By the way, I read Advanced Mathematics compiled by Teacher Qin and Yu Yuenian from Ruding Publishing House. Although I have always felt that the book is very poor, I would like to quote a sentence from Mr. Qin here, hoping to help ddmm of non-mathematics majors: after learning Advanced Mathematics, I can find a book with advanced calculus level in the west, which can basically meet the requirements of the general mathematics department.

Speaking of AdvancedCalculus, there is a book under this title that can also be read, that is, advanced Calculus by L.Loomis and S.Sternberg. The first edition is quite numerous in the General Library, and the second edition is in the Litu Foreign Language Teaching Material Center. It is not clear whether there is a reference room. The viewpoint of this book is still very high. After all, it is a Harvard textbook. See/group/topic/1142469/another person recommended Hardy's pure mathematics course. You can have a look first. . .