Mathematics covers many branches, such as algebra, geometry, topology, calculus, mathematical analysis, probability theory and so on. In addition to theoretical research, mathematics is also widely used in science, engineering, computer science, economics and many other fields. Mathematics plays an important role in the development of human society and plays a decisive role in the development of modern science and technology and economy. The research objects of mathematics include numbers and symbols, shape and space, change and invariance, logical reasoning and proof. Mathematicians have discovered and summarized many mathematical theorems and laws by studying these objects, which is of great value for solving various practical problems and innovating technologies.