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What are the brilliant achievements of ancient mathematical astronomy in China? Please give some classic examples of mathematics.
China had brilliant achievements in mathematics and astronomy in ancient times. Mathematics, which originated from early human production activities, is one of the six ancient arts in China. The development of ancient mathematics in China can be divided into five periods: the pre-Qin germination period, the foundation period of Han and Tang Dynasties, the heyday of Song and Yuan Dynasties, the spread of western learning to the east and the development period of modern mathematics. Examples are as follows:

1, Zhouyi suanjing: It is the earliest existing mathematical classic in China, written in 1 century BC, and mainly introduces Pythagorean theorem. Nine Chapters Arithmetic: It is one of the most important mathematical works in ancient China, covering geometry, algebra, equations and other aspects.

2. Typesetting: It is an ancient arithmetic in China. This paper mainly introduces fractional operation and Kaiping method. Shu Shu consists of nine chapters: it is an arithmetic classic in Tang Dynasty, covering arithmetic, algebra, geometry and other aspects.

The Origin of Ancient Mathematics and Astronomy in China

1. In ancient China, mathematics and astronomy were closely related. Due to the need of agricultural production, people began to observe the stars, make calendars and calculate the movements of the sun, the moon and the stars, and gradually formed a complete astronomical system. At the same time, these astronomical observation data need to be processed and analyzed by mathematical methods, so mathematics also plays an important role in astronomy.

2. With the passage of time, ancient mathematics and astronomy in China have been continuously developed and improved. In the Han Dynasty, Zhang Heng invented the armillary sphere and the seismograph to measure the earth's rotation and earthquakes. In Tang Dynasty, Ye Li put forward "Tianshu", that is, the method of solving geometric problems by algebraic method; Qin Jiushao in Song Dynasty invented the "Qin Jiushao Algorithm".

3. Mathematics and astronomy in ancient China have a long history. According to "Parallel Computing in Weeks", during the Western Zhou Dynasty in China around 1000 BC, mathematical knowledge had been accumulated and applied. As an independent discipline, astronomy can be traced back to Xia Dynasty.

4. In mathematics, mathematicians in ancient China also invented many important mathematical methods and tools. For example, Liu Hui of Han Dynasty invented "Secant Circle", that is, the method of polygon approaching circle solved the problem of calculating pi. Wang Xiaotong in the Tang Dynasty invented "Tianshu", that is, the method of solving geometric problems by algebraic method, which had a far-reaching influence on later generations.