Mathematicians in Qing dynasty. E Shi was born in Qiantang (present-day Hangzhou), Zhejiang Province. At the same time, he also studied the power series expansion of trigonometric function and the problem of finding the circle of ellipse with him, and continued the work of the term. His representative works include "Logarithmic Simplification Method" and other four kinds of nine volumes, published in the book "Seeking Table Agility". Binomial expansion, logarithmic expansion and trigonometric function logarithmic expansion of arbitrary exponent are obtained and used to calculate logarithmic table. He is also the author of Siyuan Jade and Fine Grass.

2. Yang Hui, an outstanding mathematician and mathematics educator in the Southern Song Dynasty. /kloc-in the middle of the 0/3rd century, he was active in Suzhou and Hangzhou with many works. His famous math books have five kinds and 21 volumes. He wrote twelve volumes (126 1 year), two volumes (1262), three volumes (1274) and two volumes (field ratio multiplication and division algorithm) 13 century, which was active in Suzhou and Hangzhou. Yang Hui, one of the four great mathematicians in Song and Yuan Dynasties, was the first mathematician in the world to draw a wealth of vertical and horizontal maps and discuss their composition rules.

3. Li (1811-1882) is a native of Haining, Zhejiang. Li's achievements in mathematical research are embodied in his book "Xizhai Arithmetic", which contains his 13 mathematical works. Among them, there are three kinds of power series expansion, Fiona Fang's mystery, Arrow's secret and logarithmic deep source. Li created a "sharp cone technique", that is, the area of a sharp cone is used to represent xn, and various mathematical problems are solved by finding the sum of the sharp cones. Although he didn't touch calculus when he created the "pointed cone technology", he actually got the formula of definite integral. Li also used the "sharp cone method" to expand the logarithmic function in power series.

4. Dai Dunyuan (1767 ——1834), whose name is Jinxi, is a civilized man. In the fifty-fifth year of Qing Qianlong (1790), he was a scholar, and was selected in Jishi Shu of the Imperial Academy. In the early years of Jiaqing, he served as the director of the Ministry of Punishment, managing the autumn trial office, trying the unjust cases of Tai Shiyang and others impartially and dealing with them lightly. There was no abuse in the trial. In three years, I took the post of Shanxi examiner. In six years, he continued to study the Qing Code and served as deputy editor-in-chief. Twenty-four years, he served as a soldier in Gao Lian, arrived without pomp, and stayed in Nanhao Town (now Suzhou, Jiangsu Province), the main thoroughfare of Guangdong Province, interacting with Guangdong businessmen and making unannounced visits to Guangdong customs, officials and bandits. In the first year of Daoguang (182 1), he was appointed as the provincial judge of Jiangxi Province and requested the assistance of the criminal officer. In a few months, he handled more than 4000 cases. Two years later, he was promoted to Shanxi Minister of Political Affairs and went to work by bike. No one in the sedan chair room knows that he is a big official. There is a bad rule in Shanxi Province that officials share money, which was abolished after Dunyuan took office. For three years, he served as governor of Hunan and returned to Beijing as assistant minister of punishments at the end of the year. 12 years as minister of punishments, colleagues are not allowed to meet unless on business. Prison cases are all reasonable laws and regulations. Reading a case is like reading a book, and you never forget it. If an official misleads the law or uses power for personal gain, he will be corrected. Old officials are too afraid of cheating. When the emperor asks questions, he often quotes statutes, which is foolproof and obeys from top to bottom. He has been an official for 40 years and has never left his post without leave. He has no interest in doing things, and he has always kept his promise and kept his promise. Only a few books, a few paintings, a few old houses and a few acres of wasteland were left. This is a gift for Prince Taibao. I like astronomy, calendar and mathematics all my life. I have written nine chapters of new arithmetic equations and approved two books, namely, Three Notes on Pythagorean Strings and Nine Types of Playing Yuan.

5. Shen Kuo (A.D. 103 1 ~ 1095) was born in Qiantang County, Hangzhou (now Hangzhou, Zhejiang) in the Northern Song Dynasty, Han nationality. Starting from the actual calculation needs, he founded "gap product technology" and "convergence technology". Shen Kuo put forward a correct method to find the total stack number of jars and chess pieces by studying the volumes of jars and chess pieces with gaps, that is, the "gap product method", that is, the second-order arithmetic progression summation method. Shen Kuo's research has developed the arithmetic progression problem since Nine Chapters of Arithmetic, and opened up the research direction of higher-order arithmetic progression in the history of ancient mathematics in China. In addition, Shen Kuo also studied the relationship among arc, chord and vector in a circular bow from the calculation of field, and put forward the first simple and practical approximate formula for calculating arc length from the length of chord and vector in the history of mathematics in China, which is called "the skill of meeting circles". The establishment of this method not only promotes the development of plane geometry, but also plays an important role in astronomical calculation and makes an important contribution to the development of ball science in China.

6. That's all!