1, with many concepts and proofs in mathematical analysis, is a method to study complex variable functions. The main purpose of advanced mathematics is to solve some problems encountered in engineering.
2. Advanced mathematics focuses on application, and mathematical analysis focuses on theoretical derivation.
3. Every theorem in mathematical analysis has been strictly proved, and all theorems finally come down to six equivalence principles; Advanced mathematics pays attention to application, and many theorems are directly given or simply described. There is a lot about applications in the book.
4. Mathematical analysis focuses more on the derivation process, while advanced mathematics focuses more on the application of results.
5. Mathematical analysis, as a basic course for undergraduates majoring in mathematics, is the basis of the whole analysis, and it is the benchmark to test whether a person is interested in mathematics.
It is not the advice of mathematics major, nor the study of advanced mathematics. After all, they all focus on applying mathematical knowledge rather than exploring principles.
Tongji version of advanced mathematics is the textbook of advanced mathematics in most universities, which can be referred to.
Extended data:
Mathematical analysis (the basic branch of mathematics), also known as advanced calculus, is the oldest and most basic branch of analytical science. Generally speaking, it refers to a relatively complete mathematical subject with the general theory of calculus and infinite series as the main content, including their theoretical basis (basic theory of real number, function and limit).
It is also a basic course for college mathematics majors. The branch of analysis in mathematics is a branch of mathematics that specializes in studying real numbers and complex numbers and their functions. Its development began with calculus and extended to the continuity, differentiability and integrability of functions. These characteristics help us to study the material world and discover the laws of nature.
Reference Mathematical Analysis (Basic Branch of Mathematics) _ Baidu Encyclopedia