Mathematical analysis is one of the basic courses of mathematics, which contains the sources of the development of various other courses, such as Riemannian integrable, uniformly convergent integral, and the limitation of limit exchange order. More importantly, mathematical analysis contains a lot of basic problem-solving ideas, and the sources of other basic ideas in subsequent courses are related to the skills in mathematical analysis.

The importance of mathematical analysis to mathematics is that it is the basis of other branches of mathematics, such as calculus, real variable function, complex variable function, functional analysis and so on. In practical applications, such as physics, engineering, economy and other fields, we need to use the knowledge of calculus and real variable functions. Therefore, mastering mathematical analysis is very important for learning other branches of mathematics and applying them to practical problems.