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What kind of book is Nine Chapters Arithmetic?
Nine Chapters Arithmetic is an ancient mathematical monograph of China, and it is the most important one among the ten computational classics. The book is very rich in content and systematically summarizes the mathematical achievements in the Warring States, Qin and Han Dynasties. At the same time, "Nine Chapters Arithmetic" has its unique achievements in mathematics, which not only mentioned the problem of fractions at the earliest, but also recorded the problems of surplus and deficiency at the earliest. The book has been supplemented many times, and the completion time is no longer available. However, it is estimated that the current version will be available at the latest in the first century AD. Many people have commented, including many famous mathematicians in history. The most famous are Liu Hui (AD 263), Li (AD 656) and others.

The book contains 246 applied problems related to production and life practice in the form of problem sets, in which each problem has questions (questions), answers (answers) and skills (problem solving steps, but there is no proof), some have one skill, some have multiple skills or multiple skills. These problems belong to summer and summer respectively according to their nature and solutions.

The mathematical achievements of "Nine Chapters Arithmetic" are various:

(1), the main achievements in arithmetic are fractional operation, proportional problem and "surplus and deficiency" algorithm. Nine Chapters Arithmetic is the earliest book in the world that systematically describes fractional operation. The second, third and sixth chapters have many problems of proportion, which are also relatively early in the world. The "residual" algorithm needs to give two assumptions, and it is a creation. In medieval Europe, it was called "double solution". Some people think it came from China through the Arab countries in the Middle Ages.

(2) In geometry, it is mainly the calculation of area and volume.

(3) In algebra, there are mainly linear equations, square roots, square roots and general quadratic equations. The chapter "Equation" also introduces negative numbers and their addition and subtraction algorithms for the first time in the history of world mathematics. As a world-famous scientific work, Nine Chapters Arithmetic was introduced to Korea and Japan during the Sui and Tang Dynasties. Now it has been translated into Japanese, Russian, German, English, French and other languages.