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What is China's ancient mathematical works that formally introduced negative numbers for the first time in the history of world mathematics?
China's ancient mathematical work "Nine Chapters Arithmetic" was the first time that negative numbers were formally introduced in the history of mathematics in the world.

1 and the history of negative numbers

According to historical records, as early as 2000 years ago, China had the concept of positive and negative numbers and mastered the arithmetic of positive and negative numbers. When people calculate, they use some small bamboo sticks to put out various figures to calculate. Liu Hui was a scholar during the Three Kingdoms period in China, and he made great contributions to the establishment of the concept of negative numbers.

Liu Hui first gave the definition of positive and negative numbers: "Today's gains and losses are the opposite, and positive and negative numbers should be named." In his book Nine Chapters Arithmetic Notes, he used different colors to represent positive numbers and negative numbers respectively, and formally introduced negative numbers and their addition and subtraction algorithms for the first time in the history of mathematics in the world, and gave an algorithm called "addition and subtraction operation".

2. Chapter 9 Arithmetic

Nine Chapters Arithmetic is a mathematical monograph in ancient China, which was written in the first century AD. "Nine Chapters Arithmetic" is very rich in content and summarizes the mathematical achievements in the Warring States, Qin and Han Dynasties. It is a comprehensive historical work and the most concise and effective applied mathematics in the world at that time. Its appearance marks the formation of a complete system of ancient mathematics in China.

Liu Hui's life and major achievements;

1, Liu Hui's life

Liu Hui (about 225 AD to 295 AD), a native of Binzhou, Shandong Province, was a great mathematician in Wei and Jin Dynasties and one of the founders of China's classical mathematical theory. He was the first person in China who explicitly advocated using logical reasoning to demonstrate mathematical propositions. In the calculation method of pi, a new way is opened up.

2. Main achievements

The first is to sort out China's ancient mathematical system and lay its theoretical foundation, which is embodied in Nine Chapters of Arithmetic Notes. It has actually formed a relatively complete theoretical system: number system theory, area and volume theory.

Second, on the basis of inheritance, put forward your own ideas. This aspect is mainly reflected in the following representative innovations: secant and pi, Liu Hui's polyhedral volume calculation principle, "Mohe square cover" theory, new equation technology and gravity difference technology.

Liu Hui not only had a far-reaching influence on the development of ancient mathematics in China, but also established a lofty historical position in the history of mathematics in the world. In view of Liu Hui's great contribution, many books call him "Newton in the history of Chinese mathematics".