After the demise of the Tang Dynasty, the Five Dynasties and Ten Kingdoms remained the continuation of the warlord melee. Until the Northern Song Dynasty unified China, agriculture, handicrafts and commerce flourished rapidly, and science and technology advanced by leaps and bounds. 1 1 century to14th century (Song and Yuan Dynasties), computational mathematics reached its peak, which was the heyday of unprecedented prosperity and fruitful achievements in ancient Chinese mathematics. During this period, a number of famous mathematicians and mathematical works appeared, which are listed as follows: Jia Xian's Nine Chapters of the Yellow Emperor (165438+mid-20th century), On the Origin of Ancient Times (65438+mid-2nd century), Several Nine Chapters (1247) and. Yang Huijiu's algorithm (126 1), daily algorithm (1262) and Yang Hui's algorithm (1274- 1275), Zhu Shijie's arithmetic enlightenment (65438

Mathematics in Song and Yuan Dynasties reached the peak of ancient mathematics in China in many fields, even in the world at that time. The main work includes: (1) numerical solution of higher order equation; (2) Astrology and Quaternism, that is, the legislation and solution of higher-order equations, are the first time in the history of Chinese mathematics to introduce symbols and use symbolic operations to solve the problem of establishing higher-order equations; (3) The technique of solving a large extension, that is, the solution of a group of congruences, is now called China's remainder theorem; (4) Recruitment superposition, that is, high-order interpolation and high-order arithmetic progression summation.

In addition, other achievements include the new development of Pythagorean method, the research of solving spherical right triangle, the research of vertical and horizontal diagram (magic square), the concrete application of decimal, the appearance of abacus and so on.

During this period, folk mathematics education also developed, and the exchange of mathematics knowledge between China and Islamic countries also developed.