Nine Chapters Arithmetic is the crystallization of several generations, and its appearance marks the formation of the ancient mathematical system in China. Most mathematicians in later generations began to learn and study mathematical knowledge from Nine Chapters of Arithmetic. Both Tang and Song Dynasties were clearly defined as textbooks by the state. 1084 was published by the Northern Song Dynasty, and it was the earliest printed mathematics book in the world. It can be said that Nine Chapters Arithmetic is another outstanding contribution made by China to the development of mathematics.
There are many mathematical problems in Nine Chapters of Arithmetic, which is the earliest record in the world. For example, the algorithm of proportion is the same as that of16th century in western Europe. The double method problem was once called the Khitan algorithm in Arabia, and it was also called in European mathematical works after13rd century, which is also an evidence that China's ancient mathematical knowledge spread to the west.
Nine Chapters Arithmetic had a great influence on the development of ancient mathematics in China until the middle of Qing Dynasty. The narrative mode of Nine Chapters Arithmetic is mainly inductive. Give a few examples first, and then give the solution. Different from the narrative mode of western deduction, China's later mathematical works also adopted narrative mode. Many mathematicians in the past dynasties have annotated the book, among which Liu Hui and Li's annotations are the most famous.
"Nine Chapters Arithmetic" also spread to Japan and Korea, which also had a great influence on the development of its ancient mathematics.