Mathematics major is much deeper. Such as an ordinary differential equation in advanced mathematics. They have a course called ordinary differential equations. Renaming higher mathematics: mathematical analysis.
3. There is a big difference. Advanced mathematics only teaches you a set of methods to solve mathematical problems in the engineering environment in the future, while mathematics major is to study mathematical theory systematically and comprehensively, including some algorithms in computers, theories in control theory and so on.
4. Of course, the classic version of college mathematics textbooks is Tongji Fourth Edition, but now all universities advocate the use of mathematics textbooks compiled by their own schools, and the contents are of course uneven. But you can refer to the textbooks used by Tsinghua, Peking University and Nantah. And more classic.
These are just my feelings after using some. I have used Tongji 4th Edition, Peking University, Nanda University and Zhejiang University.
At the same time, the college mathematics textbook you mentioned is too general.
After all, even engineering students should study advanced mathematics, linear algebra, probability theory and mathematical statistics.
Economic management majors study economic management mathematics, mainly calculus. A small part of the double integral, as for the area integral, has never been learned at all, and the whole higher mathematics (engineering) has basically not moved, as well as linear algebra and probability statistics.
As for the math major, there are many. Because I am not a math major, I don't know how many courses there are, but I have also read some of their textbooks, which are really detailed!