1, arithmetic
China ancient arithmetic is one of the earliest arithmetic in the world. Its achievement lies in the invention of multiplication tables, abacus, abacus and other tools, as well as some algorithms, such as vertical arrangement algorithm and fractional algorithm. Among them, the abacus is one of the most important calculation tools in ancient China, and its appearance greatly improved the calculation efficiency, and it was widely used in business, finance, science and other fields.
2. Algebra
The achievements of China's ancient algebra mainly lie in the invention of some algebraic symbols and methods, such as the concepts of equations, unknowns and coefficients, and the symbols of positive and negative numbers and zeros. Among them, the most famous are celestial skills and quaternary skills, which are important progress in algebra. These symbols and methods laid the foundation for the development of algebra and provided important enlightenment for later algebraic scientists.
3. Geometry
China's achievements in ancient geometry mainly lie in inventing some geometric tools and methods, such as compasses, rulers and pythagorean theorems. Among them, Pythagorean theorem is one of the important achievements of China's ancient geometry. Its discovery and proof provided important enlightenment for later geometricians and became an important milestone in the history of mathematics. There are various propositions and concepts in Mo Jing.
4. number theory
The achievement of China's ancient number theory mainly lies in the discovery of some mathematical laws and theorems, such as Pythagorean number, completeness and prime number decomposition theorem. Among them, Pythagorean theorem is recorded in Zhouyi Suanjing, which is one of the earliest mathematical theorems in the world. These laws and theorems provide important enlightenment for later mathematicians and become important contributions in the history of mathematics in the world.
5. Applied Mathematics
The achievements of applied mathematics in ancient China mainly lie in applying mathematics to solve practical problems, such as astronomy, geography, agriculture, commerce and other fields. Among them, astronomy is one of the important fields of applied mathematics in ancient China, and ancient astronomers in China invented some astronomical instruments and methods, such as sundials, level meters and celestial instruments, which made important contributions to the development of astronomy.