Nine Chapters Arithmetic was written around A.D., which systematically summarized China's mathematical achievements from pre-Qin to mid-Western Han Dynasty. The author of this book can't be verified except that it was updated and deleted by famous mathematicians in the Western Han Dynasty, such as Zhang Cang and Geng Shouchang. The book is divided into nine chapters. One * * * collects 246 mathematical problems, which are divided into nine categories according to the method of solving problems and the scope of application, and each category is regarded as a chapter.
The Southern and Northern Dynasties witnessed the vigorous development of ancient mathematics in China, and many mathematical works appeared, such as Sun Tzu's Calculations, Xiahou Yang's Calculations and Zhang Qiu's Calculations.
There were 10 mathematical works, such as Calculation Classics on the Island, so the mathematical education system at that time was of positive significance for inheriting ancient mathematical classics.
In 600 AD, Liu Zhuo of Sui Dynasty put forward the world's first quadratic interpolation formula with equal spacing in Huang Liji. In the Tang Dynasty, monks and their entourage developed it into an unequal interval quadratic interpolation formula in the Dayan calendar.
Jia Xian put forward the "multiply-multiply-open method" in the Nine Chapters of the Yellow Emperor to open any higher power. The same method was not discovered by British Horner until 18 19. Jia Xian's binomial theorem coefficient table is similar to1the Basga triangle that appeared in Europe in the 7th century. It's a pity that Jia Xian's manuscript "Algorithm of Nine Chapters of Yellow Emperor" has been lost.
Qin was an outstanding mathematician in the Southern Song Dynasty. 1247 popularized the multiplication and division method in Shu Shu Jiu Zhang, discussed the numerical solution of higher-order equations, and cited more than 20 solutions of higher-order equations (the highest is the decagonal equation) according to practice. It was not until16th century that the Italian Philo proposed the solution of cubic equation. In addition, Qin also gave a method to understand cubic equation.
On 1248, Ye Li published "Circle-Measuring Sea Mirror", which is the first book to systematically discuss "Tianshu" (one-dimensional higher-order equation) and has a milestone significance in the history of mathematics. What is particularly rare is that in the preface of this book, Ye Li openly criticizes and despises scientific practice, and belittles mathematics as a long-standing fallacy such as "cheap skills" and "playthings".
In A.D. 126 1 year, Yang Hui (date of birth and death unknown) used "stacking technique" to find the sum of several high-order arithmetic progression. In A.D. 1274, he also described the "nine-return method" and introduced various calculation methods of multiplication and division.