Mathematical analysis is one of the basic disciplines of mathematics and occupies an extremely important position in the field of mathematics. First of all, mathematical analysis is a subject that studies real numbers, complex numbers and their functional relationships. It is the basis of understanding and mastering other branches of mathematics. For example, linear algebra, calculus and probability theory are all inseparable from the theoretical support of mathematical analysis.

Secondly, the methods and ideas of mathematical analysis play an important guiding role in solving practical problems. For example, in physics, Newton and Leibniz solved many complicated physical problems through the invention and application of calculus. In economics, calculus is also widely used to solve optimization problems.

Thirdly, the theory and method of mathematical analysis also play a key role in promoting the development of mathematics. For example, limit theory, integral theory and series theory are all important contents of mathematical analysis, and their development and deepening have promoted the development of the whole mathematical field.

In addition, mathematical analysis is closely related to other disciplines. For example, combined with computer science, a new discipline of numerical analysis can be developed; Combined with physics, a new discipline of partial differential equations can be developed. Combined with economics, econometrics can develop into a new discipline.

Generally speaking, the importance of mathematical analysis in the field of mathematics is mainly reflected in the following aspects: first, as a basic subject, it provides theoretical support for understanding and mastering other branches of mathematics; Second, its methods and ideas have an important guiding role in solving practical problems; Thirdly, its theory and method have played a key role in promoting the development of mathematics. Fourth, the combination with other disciplines can develop new disciplines.