After the Yuan Dynasty unified the whole country, Zhu Shijie, a mathematician and educator in the Yuan Dynasty, integrated the two major mathematical centers in the north and south, and reached a high level of calculation in China. Zhu Shijie has two important works, Arithmetic Enlightenment and Meeting with Philip Burkart, which have been handed down from generation to generation. He used to travel around the world as a mathematician for more than 20 years, and many people learned mathematics from him. In addition, Yang Hui, Zhu Shijie and others improved and summarized the agile algorithm of calculating multiplication and division, which led to the emergence of abacus and abacus, and completed the transformation of China's calculation tools and techniques. In the middle and late Yuan Dynasty, Ding Ju's algorithm, Jia Heng's all-round set algorithm and He's detailed algorithm appeared to improve the agile algorithm of multiplication and division. Integration of Chinese and Western Mathematics In the late Ming and early Qing Dynasties, western elementary mathematics began to be introduced into China, which led to the integration of Chinese and Western mathematics research in China. After the Opium War, modern western mathematics began to be introduced into China, and China's mathematics turned into a period of mainly learning western mathematics.
In the process of western learning spreading to the east, Xu Guangqi's Elements of Geometry, Li's translation and writings promoted the integration of Chinese and western mathematics.
1607, the first six volumes of Elements of Geometry were officially published, which immediately aroused great repercussions and became a must-read for those engaged in mathematics in the late Ming Dynasty, which played a great role in the development of modern mathematics in China.
After Xu Guangqi translated the Elements of Geometry, his works introducing western trigonometry include The Great Survey and The Whole Meaning of Measurement. In the introduced mathematics, the elements of geometry have great influence.
The Elements of Geometry is the first mathematical translation work in China, in which many mathematical terms such as "geometry" are the first. Xu Guangqi thinks there is no need to doubt or change. "There is no one in the world who doesn't learn well." The Elements of Geometry is a must-read book for mathematicians in Ming and Qing Dynasties, which has a great influence on mathematics research in China.