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Seek the top ten mathematical masterpieces of China.
Zu Chongzhi 1: Hua-number theory and function theory, a modern mathematician in China. 191010 65438 was born in Jintan, Jiangsu province, and 1985 12 died in Tokyo, Japan. Mainly engaged in the research and teaching of analytic number theory, matrix geometry, typical groups, automorphic function theory, multiple complex variable function theory, partial differential equations, high-dimensional numerical integration and other fields. In the 1940s, the historical problem of Gaussian complete trigonometric sum estimation was solved, and the best error order estimation was obtained (this result is widely used in number theory). G.H. Hardy's and J.E. Littlewood's results on Waring and E.Wright's tally have greatly improved, and they are still the best records. 2. Chen Shengshen-Qian Weicong and advanced geometry Chen Shengshen, male, 19 1 1 year old. His outstanding contribution to global differential geometry influenced the development of mathematics as a whole, and he was praised by Yang Zhenning as another landmark figure after Euclid, Gauss, Riemann and Gadang. He presided over and founded three mathematical research institutes and trained a group of world-renowned mathematicians. I love my hometown in my later years, and I return to the Institute of Mathematics of Nankai University in Tianjin every year to take charge of my work and cultivate new people, just to realize my dream: to make China a great mathematical country in the 2 1 century. 3. Su, Su-projective surface Su 1902 was born in a mountain village in Pingyang County, Zhejiang Province in September. Author of "Introduction to Projective Curves", "Introduction to Projective Surfaces" and other monographs 10. The research results "hull lofting project" and "hull line making program by curved surface method" won the national science conference award and the second prize of national scientific and technological progress respectively. 4. Chen Jingrun Goldbach conjectures Chen Jingrun, 1933, born in Minhou, Fujian, on May 22nd. Graduated from the Mathematics Department of Xiamen University. After teaching in a middle school for a short time, he was transferred back to Xiamen University as an archivist and studied number theory. 1956 transferred to Institute of Mathematics, China Academy of Sciences. 1980 was elected member of the Department of Physics and Mathematics of China Academy of Sciences. This paper mainly studies analytic number theory. The publication of 1966 "Representing a large even number as the sum of the products of a prime number and no more than two prime numbers" (referred to as "1+2") became a milestone in the study of Goldbach's conjecture. He is the author of Elementary Number Theory. 5. Qiu Chengtong, Qiu Chengtong-Qiu Chengtong, the first Chinese Fields Prize winner, was born in Shantou, Guangdong Province in 1949, and his family settled in Hong Kong. My father taught at Hong Kong Xiangrang College and Chung Chi College, the predecessor of the Chinese University of Hong Kong. My father and godmother are very kind. Qiu Chengtong had a carefree childhood and got excellent grades. But when 14 years old, his father died suddenly, and the family suddenly lost its financial resources. Although Qiu Chengtong had to work and study at the same time, he was admitted to the Mathematics Department of the Chinese University of Hong Kong with excellent results. He won the Fields Prize in 1983, which is the Nobel Prize in the world mathematics field: Tao Zhexuan-China mathematical genius Tao Zhexuan,1July 5, 975, Tao Zhexuan was born in Adelaide, Australia, the eldest son. At present, he is a Chinese mathematician who teaches in the Department of Mathematics at UCLA, the only Australian-Chinese professor of mathematics who won the Fields Prize, and the second Chinese to win this honor after Qiu Chengtong (1982). 1996 received his Ph.D. from Princeton University and taught at UCLA. At the age of 24, he was hired as a full professor by UCLA. 7\8: Zhang Jingzhong, Wu Wenjun-Mathematics Mechanization and Mathematics Popularization in runan county, Zhang Jingzhong. 1959 graduated from the Department of Mathematical Mechanics of Peking University. Computer scientist, mathematician and mathematics educator, a famous popular science writer who rose in the 1980s. This paper puts forward a method to solve the area problem and applies it to the study of machine proof, which makes a breakthrough in the automatic generation of readable proof of geometric theorem. Wu Wenjun, 19 19 was born in Shanghai in May. He is a world-famous mathematician, a researcher, honorary director and honorary chairman of the Institute of Mathematics and Systems Science of China Academy of Sciences. One of the pioneers in the research of mathematical mechanization in China is Jia Xian, an ancient mathematician: Nine Chapters of the Yellow Emperor: A Fine Grass in Calculating Classics; China classical mathematicians reached their peak in the Song and Yuan Dynasties. The prelude of this development is the discovery of "Jiaxian Triangle" (binomial expansion coefficient table) and the establishment of higher-order open method ("increase multiplication open method") closely related to it. Jia Xian, a native of the Northern Song Dynasty, completed the Nine Chapters of Yellow Emperor's Fine Grass about 1050. The original book was lost, but the main contents were copied by Yang Hui's works (about13rd century), which can be handed down from generation to generation. Yang Hui's Detailed Explanation of Nine Chapters' Algorithms (126 1) has a diagram of "the origin of alchemy", which shows that "Jia Xian used this technique". This is the famous "Jiaxian Triangle", or "Yang Hui Triangle". Jia Xian's "Method of Increasing, Multiplying and Opening" for higher-order square roots is also recorded in "Detailed Explanation of Algorithms in Chapter Nine". Jiaxian Triangle is called Pascal Triangle in western literature and was rediscovered by French mathematician B Pascal in 1654. Qin: Shu Shujiu Jiu Shao (about 1202 ~ 126 1), a native of Anyue, Sichuan, was an official in Hubei, Anhui, Jiangsu, Zhejiang and other places, and was exiled to Meizhou about 126 1 years ago. Qin, Yang Hui and Zhu Shijie are also called the four great mathematicians in Song and Yuan Dynasties. In his early years, he studied mathematics in seclusion in Hangzhou, and wrote the famous Shu Shu Jiu Zhang in 1247. The book consists of 18 volumes and 8 1 themes, which are divided into nine categories (geese, Shi Tian, Tianjing, prospecting, foraging, Qian Gu, architecture, military service, and market changes). Its most important mathematical achievements —— "Dayan summation method" (one-time congruence group solution) and "positive and negative leveling method" (numerical solution of higher-order equations) made this Song Dynasty arithmetic classic occupy a prominent position in the history of medieval mathematics. Ye Li: Round-measuring sea mirror-Kaiyuan technique With the development of numerical solution technology of higher-order equations, a method of establishing equations has also emerged, which is called Kaiyuan technique. Among the mathematical works handed down from Song Dynasty to Yuan Dynasty, Ye Li's "Measuring the Round Sea Mirror" is the first work that systematically expounds Kaiyuan. Ye Li (1 192 ~ 1279), formerly known as Li Zhi, was born in Luancheng, Jin Dynasty. He used to be the governor of Zhou Jun (now Yuxian County, Henan Province). Zhou Jun was destroyed by the Mongolian army in 1232, so he studied in seclusion. He was hired by Kublai Khan of Yuan Shizu as a bachelor of Hanlin for only one year. 1248 was written into "Circle Survey Mirror", the main purpose of which was to explain the method of establishing equations by using Kaiyuan. "Kai Yuan Shu" is similar to the column equation method in modern algebra. "Let Tianyuan be so-and-so" is equivalent to "Let X be so-and-so", which can be said to be an attempt of symbolic algebra. Ye Li also has another mathematical work Yi Gu Yan Duan (1259), which also explains Kaiyuan. Zhu Shijie: Zhu Shijie (around 1300), whose real name is Han Qing, lived in Yanshan (now near Beijing), "traveled around the lake and sea with famous mathematicians for more than 20 years" and "gathered scholars by following the door". Zhu Shijie's representative works in mathematics include "Arithmetic Enlightenment" (1299) and "Meeting with the Source" (1303). "Arithmetic Enlightenment" is a well-known mathematical masterpiece, which spread overseas and influenced the development of mathematics in Korea and Japan. "Thinking of the source meets" is another symbol of the peak of China's mathematics in the Song and Yuan Dynasties, among which the most outstanding mathematical creations are "thinking of the source" (the formulation and elimination of multivariate higher-order equations), "overlapping method" (the summation of higher-order arithmetic progression) and "seeking difference method" (the high-order interpolation method). Zu Chongzhi (AD 429-500) was born in Laiyuan County, Hebei Province during the Northern and Southern Dynasties. He read many books on astronomy and mathematics since childhood, studied hard and practiced hard, and finally made him an outstanding mathematician and astronomer in ancient China. Zu Chongzhi's outstanding achievement in mathematics is the calculation of pi. Before the Qin and Han Dynasties, people took "three weeks in diameter" as the circumference. Pi should be "the diameter of a circle is more than the diameter of a Wednesday", but there are different opinions about how much is left. Until the Three Kingdoms period, Liu Hui put forward a scientific method to calculate pi-"secant method", that is, to approximate the circumference of a circle with the circumference inscribed by a regular polygon. Liu Hui calculated that the circle inscribed by a 96-sided polygon is π=3. 14, and pointed out that the more sides inscribed by a regular polygon. After hard study and repeated calculation, it is found that π is between 3. 14 15926 and 3. 14 15927, and the approximate value in the form of π fraction is obtained, with 22/7 as the reduction rate and 355/ 133 as the densification. Is the fraction whose denominator is within 1000, which is closest to π. It is impossible to prove how Zu Chongzhi got this result. If he tries to find it according to Liu Hui's "secant" method, he will have to calculate 16384 polygons inscribed in the circle. How much time and energy will it take! It can be seen that his tenacious perseverance and intelligence in academic research are admirable. Zu Chongzhi has calculated the secret rate for more than 1000 years, and foreign mathematicians have got the same result. In order to commemorate Zu Chongzhi's outstanding contribution, some mathematicians abroad suggested that π = be called "ancestral rate". -Liu Hui (born around 250 AD) is a very great mathematician in the history of Chinese mathematics. In the history of world mathematics, it also occupies a prominent position. His representative works "Nine Arithmetic Notes" and "Arithmetic on the Island" are China's most precious mathematical heritage. Nine Chapters Arithmetic was written in the early Eastern Han Dynasty, with 246 methods to solve problems. In many aspects, such as solving simultaneous equations, calculating four fractions, calculating positive and negative numbers, calculating the volume and area of geometric figures, etc. , is advanced in the world, but the solution is primitive and lacking. Liu Hui made supplementary proof of all these. In these proofs, he showed his creative contributions in many aspects. He was the first person in the world to put forward the concept of decimal, and used decimal to represent the cube root of irrational numbers. In algebra, he correctly put forward the concept of positive and negative numbers and the rules of addition and subtraction. The solution of linear equations is improved. In geometry, the secant method is put forward, that is, the method of finding the area and perimeter of a circle by using inscribed or circumscribed regular polygons. He scientifically obtained the result that pi = 3. 14 by using secant technology. Liu Hui put forward in the secant technique that "if you cut it carefully, the loss is not great, and then you can't cut it."