1, the details are different, some examples have changed, and the proof methods of some examples in the book have changed, and the content is basically the same.

2. In a broad sense, all mathematics except elementary mathematics are advanced mathematics, and some call algebra, geometry and simple set theory in middle school as intermediate mathematics, which is the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.

It is generally believed that advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection. The main contents include: limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations. Basic subjects of postgraduate examination in engineering and science.

4. The seventh edition revised some contents of the sixth edition, adjusted the order of some courses and changed some examples. The proof methods of some examples in the book have changed, and the contents remain basically the same.