In fact, advanced mathematics and advanced algebra introduced by science and engineering majors in major universities are actually the same thing. The names of advanced algebra and linear algebra are mainly named according to the characteristics of the Soviet Union, but not in Europe and America. Advanced? Education, because our country's mathematics is influenced by the Soviet Union, so in terms of naming and starting classes, most of us have inherited their curriculum naming methods, which is why we have it. Advanced algebra? And then what? Linear algebra? Reason. Advanced algebra is a specialized course for mathematics majors, including some algebraic operation rules such as linear transformation of linear space in some specific fields, transformation between matrix and linear substitution, polynomial formula and so on.
The linear algebra we usually talk about pays more attention to the number of rows and columns, matrices and corresponding transformations, and introduces the specific concepts of linear equations and quadratic transformation in detail. Compared with linear algebra, linear algebra pays more attention to the calculation of students' written calculations, while higher algebra generally pays attention to the so-called academic research disputes in space and linear fields, so higher algebra and linear algebra are different in essence.
Moreover, anyone who has studied advanced algebra and linear algebra will know that the course of advanced algebra is much more difficult than linear algebra. As we all know, advanced mathematics is a special subject for engineering majors, but engineering students may not have studied advanced algebra because the difficulty coefficient of advanced algebra is relatively high, and the difficulty coefficient of advanced algebra is much higher than that of linear algebra. ?