Jia Xian was an outstanding mathematician in the Northern Song Dynasty in ancient China. He once wrote Nine Chapters (Nine Volumes) of Huangdi Neijing and Ancient Arithmetic Collection (Two Volumes). His main contribution is to create the "Jiaxian Triangle" and the multiplication and division method, 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, and the method of multiplication and multiplication is more neat and simple than the traditional method.
Liu Hui is a great mathematician in the history of mathematics in China and occupies a prominent position in the history of mathematics in the world. His representative works "Nine Arithmetic Notes" and "Arithmetic on the Island" are China's most precious mathematical heritage.
Yang Hui studied "stacking", that is, the study of higher-order arithmetic progression. For the first time, he studied the so-called "Rubik's cube" as a mathematical problem and created the name "vertical and horizontal diagram". He gave examples of magic squares from the third order to the tenth order, and also studied some composition principles.
On 1248, Ye Li published "Circle Survey of the Sea Mirror", which is the first book to systematically discuss "Tianshu" (one-dimensional higher-order equation) and has a milestone significance in the history of mathematics.
Qin was an outstanding mathematician in the Southern Song Dynasty. 1247 popularized the multiplication and division method in Shu Shu Jiu Zhang, discussed the numerical solution of higher-order equations, and cited more than 20 solutions of higher-order equations (the highest is the decagonal equation) according to practice. It was not until16th century that the Italian Philo proposed the solution of cubic equation.