What are the characteristics of the development of ancient mathematics in China?

Features: (1) is algorithm-centered and belongs to applied mathematics. China's mathematics is not divorced from the reality of social life and production, and its goal is to solve practical problems. Mathematical research centers on establishing algorithms and improving computing technology.

(2) Strong sociality. In China's traditional mathematical culture, mathematics is one of the six arts (ritual, music, shooting, imperial command, calligraphy and number) cultivated by Confucianism. Its function is to "connect with God, obey orders, manage the affairs of the world and divide all things", so China's traditional mathematics is always branded with China's philosophy and ancient academic thoughts, and is often intertwined with mathematics. At the same time, mathematics education and research were often controlled by the feudal government. Mathematics education and imperial examination system in Tang and Song Dynasties and mathematicians in past dynasties were often astronomical officials of the government, which fully reflected this nature.

⑶ The theory is highly generalized. Because China's traditional mathematics pays attention to solving practical problems, and because of China's comprehensive inductive thinking, China's traditional mathematics doesn't care about the formalization of mathematical theory, but this doesn't mean that China's tradition only stays at the empirical level without theoretical achievements. China's mathematical algorithms actually contain the theoretical basis for establishing these algorithms. Mathematicians in China are used to building mathematical concepts and methods on a few self-evident and intuitive mathematical principles, such as the theory of rate in algebra, the principle of complementary entry and exit in plane geometry, Yang Equestrian in solid geometry, the principle of section in surface theory (or Liu Zu's principle, that is, principle) and so on.