Newton created amazing miracles in the fields of mathematics, physics and astronomy. Mathematically, Newton is one of the founders of calculus, as well as Leibniz. 1665, Newton discovered "binomial theorem" and "flow number method" at the age of 23, and "flow number method" is the modern differential method. At the same time, he also discovered the inversion of the flow number method, that is, the integration method. The establishment of calculus is a major change in the history of modern mathematics, and it is a real variable mathematics, which provides the most effective tool for the development of modern science and opens a new era of mathematics.