Liu Hui (born around 250 AD) is a very great mathematician in the history of Chinese mathematics, and also occupies a prominent position in the history of world mathematics. His representative works "Nine Arithmetic Notes" and "Arithmetic on the Island" are China's most precious mathematical heritage.

Jia Xian

Jia Xian was an outstanding mathematician in the Northern Song Dynasty in ancient China. The Nine Chapters of Yellow Emperor's Arithmetic Fine Grass (nine volumes) and Arithmetic Ancient Collection (two volumes) have been lost.

His main contribution is to create the "Jiaxian Triangle" and the method of multiplication and multiplication, which is the positive root method for finding the higher power. At present, the principle and procedure of mixed division in middle school mathematics are similar, while the multiplication and division method is more neat, simple and programmed than the traditional method, so it shows its superiority, especially when it comes to high power. This method was put forward more than 700 years before the conclusion of European mathematician Horner.

Qin

Qin (about 1202- 126 1) was from Anyue, Sichuan. He was once an official in Hubei, Anhui, Jiangsu, Zhejiang and other places, and was demoted to Meizhou (now Meixian County, Guangdong Province) around 126 1, and soon died. He, Yang Hui and Zhu Shijie are also called the four great mathematicians in Song and Yuan Dynasties. In his early years in Hangzhou, he visited the Taishi and learned mathematics from a hermit. 1247, he wrote the famous Shu Shu Jiu Zhang. The book "Shu Shu Jiu Zhang" has a total of 18 volumes and 8 1 title, which is divided into nine categories. Its most important achievements in mathematics-"the sum of large calculations" (a solution of congruence group) and "the solution of positive and negative square roots" (a numerical solution of higher-order equations) made this Song Dynasty arithmetic classic occupy a prominent position in the history of medieval mathematics.

Ye Li

Ye Li (1 192- 1279), formerly known as Li Zhi, was born in Luancheng, Jin Dynasty. He used to be the governor of Zhou Jun (now Yuxian County, Henan Province). Zhou Jun was attacked by the Mongols in 1232, and went to study in seclusion, and was later hired by Kublai Khan of Yuan Shizu. 1248 was written in "Circular Sea Mirror", the main purpose of which was to explain the method of arranging equations with astronomical elements. "Astrology" is similar to the column equation method in modern algebra. "Let Tianyuan be so-and-so" is equivalent to "Let X be so-and-so", which can be said to be an attempt of symbolic algebra. Another mathematical work by Ye Li, Yi Gu Yan Duan (1259), also explains Heaven.

Zhu Shijie

Zhu Shijie (about 1300), whose real name is Han Qing, lives in Yanshan (near Beijing today). He "traveled around the lake and sea with famous mathematicians for more than 20 years" and "gathered scholars by following the door" (Mo Ruo and Ancestral Differences: A Preface to Four Ideals). Zhu Shijie's representative works in mathematics include "Arithmetic Enlightenment" (1299) and "Meeting with the Source" (1303). "Arithmetic Enlightenment" is a well-known mathematical masterpiece, which spread overseas and influenced the development of mathematics in Korea and Japan. "Thinking of the source meets" is another symbol of China's mathematical peak in the Song and Yuan Dynasties. Among them, the most outstanding mathematical creations are quadrature (formulation and elimination of multivariate higher-order equations), superposition (summation of higher-order arithmetic progression) and invited difference (interpolation of higher-order).

Chungchi Tsu

Zu Chongzhi (AD 429-500), a native of Laiyuan County, Hebei Province, was an outstanding scientist in the Southern and Northern Dynasties. He is not only a mathematician, but also familiar with astronomical calendar, machinery manufacturing, music and other fields, and is an astronomer.

Zu Chongzhi's main achievement in mathematics is the calculation of pi, which is 3. 14 15926.

Zuhuan

Zu Chongzhi's son, Zuxuan, and his father, Zu Chongzhi, successfully solved the problem of calculating the sphere area and got the correct volume formula. The well-known "principle of forming ancestors" in current textbooks can be described as the outstanding contribution of Zuxuan to the world in the 5th century.

Yang Hui

Yang Hui was an outstanding mathematician and mathematical educator in the Southern Song Dynasty. /kloc-in the middle of the 0/3rd century, he was active in Suzhou and Hangzhou with many works.

His famous math book consists of five kinds and twenty-one volumes. He has written twelve volumes (126 1 year), two volumes (1262), three volumes (1274) and two volumes (field ratio multiplication and division algorithm).

In his Algorithm for Extracting Odds from Ancient Times, he introduced various forms of "vertical and horizontal graphs" and related construction methods. "Overlap" was Yang Hui's research on higher-order arithmetic progression after Shen Kuo's "Gap Product". In Classification, Yang Hui reclassified 246 problems in Nine Chapters of Arithmetic into nine categories according to the order of solving problems from shallow to deep, such as multiplication and division, division rate, coincidence rate, exchange, quadratic decline, overlapping product, surplus and deficiency, equation, Pythagorean and so on.

Zhao Shuang

Zhao Shuang was a mathematician in Wu Dong during the Three Kingdoms period. He once annotated the Pythagorean Arithmetic Classics. In his annotation of the Pythagorean Arithmetic Classics, there is a full text of more than 500 words, with a lost figure. This annotation concisely summarizes the important achievements of Pythagoras' arithmetic in the Eastern Han Dynasty, and gives and proves more than 20 propositions about the three sides of Pythagoras' string and the relationship between sum and difference for the first time.

Zhao Shuang also derived the quadratic equation (where A >: 0, A>0), and gave the proof of "gravity difference technique" by using the area relation of geometric figures in the solar altitude map annotation. The method used by astronomers in the Han Dynasty to measure the height and distance of the sun is called gravity difference technique.