Features of Chinese Mathematics in the History of Chinese Mathematics

(1) Algorithm-centered, belonging to applied mathematics. Chinese mathematics is not detached from the reality of social life and production, and aims at solving practical problems; mathematical research is centered on the establishment of algorithms and the improvement of computational techniques.

(2) It has a strong social nature. In traditional Chinese mathematical culture, mathematics is one of the six arts (etiquette, music, archery, imperialism, calligraphy and mathematics), which is one of the basic knowledge of Confucianists to cultivate people's morality and skills, and its role is to "communicate with the gods, follow the life of the world, and class all things", so traditional Chinese mathematics is always branded with Chinese philosophy and ancient academic thinking, often intertwined with Therefore, traditional Chinese mathematics has always been branded with Chinese philosophy and ancient academic thoughts, and often intertwined with the arts and mathematics. At the same time, mathematical education and research were often controlled by the feudal government, and examples of mathematical education and the imperial examination system in the Tang and Song dynasties, and the mathematicians of successive dynasties were often government astronomical officials, fully reflect this nature.

(3) Theory in arithmetic, the theory is highly generalized. As the Chinese traditional mathematics focus on solving practical problems, and because the Chinese people comprehensive, inductive thinking decision, so the Chinese traditional mathematics does not care about the formalization of mathematical theory, but this does not mean that the Chinese tradition only stays in the empirical level and no theoretical construction. In fact, the algorithms of Chinese mathematics contain the theoretical foundations of these algorithms. Chinese mathematicians used to base their mathematical concepts and methods on a few self-evident and intuitive mathematical principles, such as the theory of "rate" in algebra, the principle of "in and out complementing each other" in plane geometry, the principle of "in and out complementing each other" in three-dimensional geometry, and the principle of "in and out complementing each other" in three-dimensional geometry. The principle of "rate" in algebra, the principle of "in and out complementary" in plane geometry, the "Yangmaji" in three-dimensional geometry, and the "principle of section" in the theory of curved surfaces (or Liu Zu's principle, or Cavalieri's principle), and so on.

10, the influence of Chinese mathematics on the world

Mathematical activities have two basic work ---- proofs and calculations, the former due to the acceptance of the axiomatic (deductive) mathematical cultural traditions, the latter due to the acceptance of the mechanized (algorithmic) mathematical cultural traditions. In the world's mathematical cultural traditions, Euclid's "Geometry Originally" as the representative of the Greek mathematics, undoubtedly is the foundation of the Western deductive mathematical traditions, while the "nine chapters of the arithmetic" as the representative of the Chinese mathematics is undoubtedly the basis of the Oriental algorithmic mathematical traditions, which are reflected in the east and west, **** with the promotion of the world's development of mathematical culture.

Chinese mathematics spread to India and Arabia through the Silk Road, and was later introduced to the West by the Arabs. And within the cultural circle of Chinese characters, it has been influencing the development of mathematics in Japan, the Korean Peninsula, Vietnam and other Asian countries.