Mathematics originated from the early production activities of human beings. Early ancient Greece, ancient Babylon, ancient Egypt, ancient India and ancient China all studied mathematics. Mathematics is a science that studies the concepts of quantity, structure, change and spatial model. Through the use of abstraction and logical reasoning, it is produced by counting, calculating, measuring and observing the shape and movement of objects. The basic elements of mathematics are: logic and intuition, analysis and reasoning, individuality and individuality. Mathematics can be divided into two categories, one is pure mathematics and the other is applied mathematics. Pure mathematics, also called basic mathematics, specializes in the internal laws of mathematics itself. The knowledge of algebra, geometry, calculus and probability introduced in primary and secondary school textbooks belongs to pure mathematics. A remarkable feature of pure mathematics is to temporarily put aside specific content and study the quantitative relationship and spatial form of things in pure form. For example, it doesn't matter whether it is the area of trapezoidal rice field or the area of trapezoidal mechanical parts. What everyone cares about is the quantitative relationship contained in this geometric figure. Applied mathematics is a huge system. Some people say that it is the part of all our knowledge that can be expressed in mathematical language. Applied mathematics is limited to explaining natural phenomena and solving practical problems, and it is a bridge between pure mathematics and science and technology. It is often said that it is an information society, and the "information theory" which specializes in information is an important branch of applied mathematics. Mathematics has three most remarkable characteristics. The evolution of mathematics can be regarded as the continuous development of abstraction or the extension of subject matter. The eastern and western cultures have also adopted different angles. European civilization has developed geometry, while China has developed arithmetic similar to algebra today. The first abstracted concept is probably numbers (China's calculation). His knowledge that there is something in common between two apples and two oranges is a great breakthrough in human thought. In addition to knowing how to count the number of actual substances, prehistoric people also knew how to count the number of abstract substances, such as time-day, season and year. Arithmetic (addition, subtraction, multiplication and division) also naturally came into being. Ancient stone tablets also confirmed the knowledge that existed at that time [1]. Further, they needed writing or something else. Such as Fumu or Chip, which was used to store data in the Inca Empire. There have been many different counting systems in history. From the beginning of the historical era, the main principle in mathematics is to do many calculations related to astronomy, rational distribution of land and grain crops, taxation and trade. In order to understand the relationship between numbers and to measure land, And for predicting astronomical events. These needs can be simply summarized as the study of quantity, structure, space and time in mathematics. The Nine Chapters of Arithmetic annotated by Liu Wei in 200 A.D. in China and the Ten Books of Calculating Classics formed in the Tang Dynasty around 600 A.D. marked the complete establishment of China's arithmetic system. Western Europe made it, elementary algebra and trigonometry after the Renaissance in16th century.