However, Nine Chapters of Arithmetic appeared 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 for the addition and deletion of famous mathematicians in the Western Han Dynasty, such as Zhang Cang and Geng Shouchang. This book is divided into nine chapters. A * * * collected 246 math problems, which were divided into nine categories according to the method of solving problems and the scope of application, and each category served as a chapter.
The Southern and Northern Dynasties witnessed the vigorous development of ancient mathematics in China, and various mathematical works such as Sun Tzu's Calculations, Xiahou Yang's Calculations, Zhang Qiu's Calculations, and Island's Calculations were published one after another. Therefore, 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 a quadratic interpolation formula with unequal intervals in their Dayan calendar.
Jia Xian put forward the method of "increasing, multiplying and opening any higher order" in the Nine Chapters of the Yellow Emperor. The same method was not discovered by Horner in England until 18 19; Jia Xian's binomial theorem coefficient table is similar to1"Basga Triangle" which appeared in Europe in the 7th century. Unfortunately, the manuscript of Jia Xian's Nine Chapters of Yellow Emperor's Fine Grass Algorithm has been lost.
Jia Xian was an outstanding mathematician in the Northern Song Dynasty, and his teacher Chu Yan was a famous astronomer and mathematician in the early Northern Song Dynasty. We don't know whether Jia Xian has been engaged in mathematics teaching, but as far as his academic activities and mathematical status in the Song Dynasty are concerned, the possibility of imparting mathematical knowledge cannot be ruled out. As we know, one of the purposes of ancient scholars' writing books is to educate the world, as evidenced by "excellent constitutional techniques and books handed down from generation to generation". Jia Xian's "Nine Chapters of the Yellow Emperor Counting Classics and Fine Grass" laid the foundation for the climax of ancient mathematics in China during the Song and Yuan Dynasties.
/kloc-After the establishment of the Ming Dynasty in the middle and late 4th century, the rulers began to implement the imperial examination system characterized by eight-part essay, and greatly reduced the mathematics content in the national imperial examination. From then on, the ancient mathematics in China began to show a trend of overall decline.
Huang, compiled by astronomers in Sui Dynasty, created a new method to calculate the movement of the sun and the moon, which was the most advanced calendar at that time. Huang is also the earliest existing calendar in ancient China, which gives a complete correction table of solar motion unevenness.
Monks and their entourage, astronomers in the Tang Dynasty, based on the emperor's calendar, formulated the Dayan calendar, which accurately reflected the movement law of the sun, systematically and carefully, and marked the maturity of the ancient calendar system in China. Monk and his party are also the founders of measuring the meridian length of the earth by scientific methods in the world.
Magical mathematics