First of all, mathematical analysis provides a rigorous theoretical basis for higher mathematics. Mathematical analysis mainly studies basic concepts and theories such as function, limit, continuity, differential and integral, and is the basis of other branches of higher mathematics such as calculus, linear algebra and probability theory. Without the rigor of mathematical analysis, the theoretical system of these branches cannot be established.
Secondly, the methods and skills of mathematical analysis play an important guiding role in solving practical problems. Many methods and skills in mathematical analysis, such as limit method, differential equation solving method, series convergence and divergence judgment method, can be applied to other branches of higher mathematics to help us solve practical problems.
Thirdly, mathematical analysis plays an important role in cultivating students' logical thinking ability and abstract thinking ability. The study of mathematical analysis requires students to have strong logical thinking ability and abstract thinking ability, which is of great significance to cultivate students' comprehensive quality.
Finally, mathematical analysis also plays an important role in promoting the development of science and technology. Many fields of science and technology, such as physics, chemistry, biology, engineering, etc. , need to use the theory and method of mathematical analysis. For example, in physics, Newton's laws of motion are expressed by calculus; In engineering, the stability analysis of control system needs to use differential equation theory.
Generally speaking, mathematical analysis is of great significance to the development and application of higher mathematics. It is the foundation of advanced mathematics and an important tool for us to solve practical problems.