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Decent. Like my question.
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6 bits.
Hua Luogeng's students have 6 mathematicians, namely Wang Yuan, Chen Jingrun, Wan Zhexian, Lu Qikeng, Gong Sheng, and Yang Le.
Hua Luogeng is a self-taught scientific giant, a well-known mathematician at home and abroad, and the founder of many mathematical fields such as Chinese analytic number theory, typical group old man laughing and rising, matrix geometry, self-guarding function theory and multi-complex variable function theory.
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Hua Luogeng (November 12, 1910 – June 12, 1985) was the former vice chairman of the National Committee of the Chinese People's Political Consultative Conference. Born in Jintan District, Changzhou, Jiangsu, native of Danyang, Jiangsu, mathematician, academician of the Chinese Academy of Sciences, foreign academician of the National Academy of Sciences of the United States, academician of the Third World Academy of Sciences, academician of the Bavarian Academy of Sciences of the Federal Republic of Germany, researcher and former director of the Institute of Mathematics of the Chinese Academy of Sciences.
Hua Luogeng is mainly engaged in the research of analytic number theory, matrix geometry, canonical groups, automorphic function theory, multiple complex function theory, partial differential equations, high-dimensional numerical integration and other fields. It also solves the estimation problem of Gaussian complete trigonometric sums, the improvement of the Hualin and Tari problems, the proof of the fundamental theorem of one-dimensional projective geometry, and the application of modern number theory methods.
Listed as one of the 88 great mathematicians in the world today in the Chicago Museum of Science and Technology; The mathematical research achievements named after Fahrenheit in the world include "Fahrenheit's theorem", "Fahrenheit's inequality", "Fahrenheit method" and so on.
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Hua Luogeng (November 12, 1910 - June 12, 1985), born in Jintan District, Changzhou, Jiangsu, ancestral home in Danyang, Jiangsu, mathematician, academician of the Chinese Academy of Sciences, foreign academician of the National Academy of Sciences of the United States, academician of the Third World Academy of Sciences, academician of the Bavarian Academy of Sciences of the Federal Republic of Germany, researcher and former director of the Institute of Mathematics of the Chinese Academy of Sciences.
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.When he was a child, Hua Luogeng's family was poor, and he dropped out of school before graduating from junior high school. While he helped his father look after the store, he still didn't forget to study.
With no time, he developed the habit of waking up early, being good at using fragmentary time, and being good at mental arithmetic. There are no books, no paper and no pen, and he has developed the habit of being diligent in his hands and diligent in independent thinking.
2.When the mathematician Gauss was in high school, every night the teacher would give him one or two difficult problems for him to practice, but he could basically solve them quickly, but one day, the teacher gave a problem, and he used one night to make it, and then when he came to the school and asked the teacher, he learned that the problem was accidentally caught by the teacher, which is a mathematical problem in the world and has plagued mathematicians for more than 100 years.
Extended Materials. Hua Luogeng (, was born in Jintan District, Changzhou, Jiangsu, and his ancestral home is Danyang, Jiangsu. He is a mathematician, academician of the Chinese Academy of Sciences, a foreign member of the National Academy of Sciences of the United States, an academician of the Third World Academy of Sciences, and an academician of the Bavarian Academy of Sciences of the Federal Republic of Germany.
Member of the Standing Committee of the 1st to 6th National People's Congress of China.
He is the founder and pioneer of many aspects of Chinese analytic number theory, matrix geometry, canonical groups, automorphic function theory and multivariate complex function theory, and is listed as one of the 88 great mathematicians in the world today in the Chicago Museum of Science and Technology. The mathematical research achievements named after Fahrenheit in the world include "Fahrenheit's theorem", "Fahrenheit's inequality", "Fahrenheit method" and so on.
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Throughout his life, he has been mainly engaged in the research of analytic number theory, matrix geometry, canonical groups, autoplastic function theory, multi-complex function theory, partial differential equations, high-dimensional numerical integration and other fields, and has made outstanding achievements.
In the 40s of the 20th century, Hua Luogeng solved the historical problem of estimating the sum of Gauss's complete three-staring digging angles, and obtained the best error order estimation (this result has a wide application in number theory). The fundamental theorem of one-dimensional projective geometry has been proved for a long time.
A simple and straightforward proof of the conclusion that the nucleon must be contained in its center is given, known as the Cardang-Brauer-Warf theorem; Significant improvements have been made to the conclusions of G.H. Hardy and J. E. Littlewood on the Warling Question and E-Wright on the Tari Question.
Hua Luogeng's book "Theory of Stacked Prime Numbers" systematically summarized, developed and improved the Hardy and Littlewood circle method, the Winogradov triangle and estimation method and his own method, and its main achievements are still at the world's leading level more than 40 years after its publication, becoming one of the classic number theory works of the 20th century.
Another mathematical monograph, "Harmonic Analysis and Analysis on Multiple Complex Typical Domains", uses sophisticated analysis and matrix skills, combined with group representation theory, to give a complete orthogonal system of canonical domains, so as to obtain the expressions of Cauchy and Poisson kernels, which has far-reaching influence in the world.
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In a sharing, Hua Luogeng mentioned how he studied and read. In a word: read the book thick, and then read it thin.
Read the book thick first. Taking mathematics as an example, for the convenience of beginners, the compilers let only the core knowledge appear in the textbook, for example, important theorems will only tell students how to use them, and omit the tedious derivation process.
When Hua Luogeng reads, he will find a way to make up for the omitted piece, that is, to read the book thickly. He will understand the background knowledge, the argumentation process, the twists and turns in the middle, etc., a series of knowledge. It is necessary to know both what it is and why it is so.
At the same time, he pays special attention to "what he does not understand". Open the book, see the knowledge you already know, quickly skim it, and if it is knowledge that you have not been exposed to before, you will stop and ponder carefully.
Reading books thickly is actually constantly adding bricks and tiles to one's knowledge system, not only to know the ins and outs of new knowledge, but also to figure out how to use new knowledge to solve problems.
Don't be afraid of trouble and feel like you're wasting your time. According to cognitive psychology research, if you can add a lot of extra "redundant information" when learning new knowledge, both the memory effect and the level of comprehension will be significantly improved.
Read the book thinly again. Mathematical knowledge, as long as the context and connections are clear, there are very few things that really need to be memorized repeatedly.
Just like learning to drive, you will be in a hurry at first, because you have to look at the road conditions and hit the steering wheel with your hands, and you have to step on the clutch brake accelerator.
After the proficiency is improved, you will find that you don't need to memorize so many things at all, and the car will naturally follow as soon as your mind moves.
Reading books thinly means making the connection between knowledge clear, and requiring students to pay attention to summarizing and summarizing and putting similar points together when reading books and doing problems.
For example, in third-grade mathematics, it is not a problem for students to get more than 90 points by figuring out the conversion relationship between perimeter and area, how to find the perimeter according to the area, how to find the edge length according to the area, etc.
Summary. The core concept of Hua Luogeng's self-study method is: read the book thick and then read it thin.
Read the book thickly: understand all aspects of new knowledge clearly, what it is, how it can be used, where it can't be used, and why it is ...... from the first place
Read books thinly: connect knowledge, don't understand knowledge in isolation, and think more about how new knowledge relates to old knowledge.
I'm in a hurry, you're so clever in asking this question.
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I am in a foreign company as a sales executive, these years contact with the post-90s and post-95 children have also begun to work one after another, their attitude towards work, may be completely different from our people, they see work as a very personal thing, always according to their own emotions or their own mood to work, can not say that there is no enthusiasm for work, but their enthusiasm will never exceed their enthusiasm for life, that is, life and work are very separated, I can't confuse the two, but I think the way they treat their work is very different from that of our generation, and maybe it's really the different times that make different young people.
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