It is the basic method of calculus to study the function and motion changes of things from the quantitative aspect. This method is called mathematical analysis.
Originally, mathematical analysis in a broad sense included many branches such as calculus and function theory, but now it is widely used to equate mathematical analysis with calculus, and mathematical analysis has become synonymous with calculus. When it comes to mathematical analysis, we know that it refers to calculus. The basic concepts and contents of calculus include differential calculus and integral calculus.
The main contents of differential calculus include: limit theory, derivative, differential and so on.
The main contents of integral include definite integral, indefinite integral and so on.
Calculus is developed in application. At first, Newton used calculus and differential equations to deduce Kepler's three laws of planetary motion from the law of universal gravitation. Since then, calculus has greatly promoted the development of mathematics, as well as astronomy, mechanics, physics, chemistry, biology, engineering, economics and other natural sciences, social sciences and applied sciences. And it is widely used in these disciplines, especially the appearance of computers is more conducive to the continuous development of these applications.