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.
Nine Chapters Arithmetic contains 246 math problems, which are divided into nine chapters. They are: Tian Fang, Li Mi, Descent, Shao Guang, Shanggong, Equal Loss, Insufficient Profit, Equation and Pythagorean.
Nine Chapters Arithmetic is the earliest book in the world that systematically describes fractional operation. Among them, the residual algorithm is an amazing creation; The chapter "Equation" also expounds the negative number and its addition and subtraction algorithm for the first time in the history of world mathematics.
The scientific thoughts contained in Nine Chapters Arithmetic Notes are extremely profound. Logical thinking, reexamination thinking, limit thinking, reasoning thinking, innovative thinking, unity of opposites thinking and the dimension of words and meanings are all true manifestations of his scientific thinking. Liu Huiji collected excellent ideas and methods from various schools and applied them to mathematical research, which made the traditional mathematics in China, represented by Nine Chapters Arithmetic, undergo fundamental changes and rise to a new stage. He is an outstanding representative of China's traditional mathematics, and can also be called a world leader in mathematics.