Chapter 53: What Can Be Done in Mathematics (Part II)
The entire afternoon tea venue has become Junxin's speech venue, and the people gathered around him are his audience. And Junxin also talks more and more about thinking, the more flexible and divergent it becomes.
"So what you're saying is right, because what you're saying is the embodiment of mathematics, it's all the role of mathematics, and there's nothing wrong with that. The major scientific and technological changes that have occurred in human history are inseparable from the participation and help of mathematics, in short, mathematics is the most important tool discipline for the study of all natural sciences. ”
Speaking of this, Junxin suddenly stopped and stopped talking. Because he saw the deep confusion on the faces of the students around him.
Junxin knows that what he just said, they don't know, it's not that they don't know, on the contrary, they can go to university in this era, and they are still a first-class university in China such as the University of Science and Technology of China, they know these universal knowledge well. But they don't understand the usefulness of the mathematical ideas behind these things.
There is an unwritten saying in the mathematics department at Princeton University: The average person cares about the result, and the excellent person pays attention to the process. Judging by this standard, the people who listen to his speech have become ordinary people.
What is the use of mathematics, people who really know never think about it, because every time they make an outcome, they never think about the usefulness of the result, because there will always be someone who will find out what the problem can be used for at some point. The historical Li Qun problem is an excellent example.
Li Qun is a mathematical concept created by the famous Norwegian mathematician Sophis-Lee in the late nineteenth century, at first people did not know what kind of use this Li Qun had, until after the continuous research of Keeling, Jiadang, Weyl and others, he discovered his huge and amazing application in quantum mechanics. So far, Li Qun has penetrated into various fields of mathematics such as finite groups, as well as many fields of mathematical physics. Even in later generations, the study of the Li Qun problem is still a major research hotspot in the field of mathematics and physics.
"What can math do? Let's not talk about it in a big way, in life, there are many such applications. For example, since the seventies of this century, a new branch has been born in the field of mathematics - J-B. Keller, an applied mathematician in the United States, has pioneered a new method of studying sports with modern mathematical methods! ”
He used his mathematical knowledge to establish a new theory of running and applied it to the training of long-distance runners, and he achieved great results! At the same time, Esther, a computer scientist in the United States, used the knowledge of mathematics and mechanics, and with the help of computers, to study the popular discus throwing technology at that time, so as to put forward his own set of training theories. ”
Based on his own theory, he made corrections to the discus throwing technique. There are many more examples of athletes who have been coached by him to improve their performance by four meters in a short period of time! ”
From this point of view, even sports that have nothing to do with mathematics have been opened up by mathematicians to give birth to a new and extremely useful branch of applied mathematics - sports mathematics. So, is there nothing else? ”
"If you play billiards, then you need to use the method of calculating the reflection angle of billiards; You are bowling, you have to calculate the trajectory of the bowling ball and analyze the force... These are the fruits of mathematics and the usefulness of mathematics. ”
Although Jun Xin said this, in his heart, he didn't want the people here to really spend a lot of time on these, and the people who could study in this Hua Luogeng class had talents and specialties in mathematics, and he hoped that these people would focus on tracking and researching the world's top problems.
However, whether his wish can really be achieved, Junxin himself can't pack the ticket. After all, the most important thing in China today is to transform theory into applied technology to catch up with the world's top level, and other things can only give way to this general direction.
At the subsequent meeting, Junxin just casually had a conversation with a few seedlings who he was more optimistic about, and then left. Although Professor Junxin's course has only one algebraic geometry, he has explained almost all the courses closely related to algebraic geometry in general or carefully. Until the last class before the New Year, Junxin finished all the reserve knowledge related to algebraic geometry, and only waited until the year before he officially started the content of algebraic geometry.
However, before the Chinese New Year, Junxin did not have time to complete his teaching materials. Because the content of his speech during the afternoon tea discussion reached the ears of Professor Wang and Professor Qiao for unknown reasons, the two professors with quick minds called Junxin to Professor Wang's office after some discussion, and began to ask.
"Jun, do you have any ideas of your own in mathematics?" Professor Wang asked bluntly.
"Yes!" Jun Xin naturally knew what kind of value Professor Wang's words were, so he nodded after a little hesitation, and admitted his thoughts very straightforwardly.
"Tell me what you think, Lao Wang and I are very optimistic about you!" Professor Qiao looked at Junxin approvingly and said.
"I want to learn from the Göttingen School and build our own mathematical holy place for Chinese, which is not only a sacred place in China, but also a worldwide holy place of mathematics."
Although Professor Wang and Professor Qiao drew some conjectures from Junxin's remarks, they also gasped for a while after hearing Junxin admit his thoughts in person.
After the two professors digested their remarks, Junxin continued: "Since the Second World War and the dissolution of the Göttingen School, the center of world mathematics has moved and evolved from the University of Göttingen in Germany, forming a European mathematical center headed by the Institut des Hautes Etudes Etudes de Paris, the École Normale Supérieure in Paris, and the University of Paris-Sud, and a mathematical center in the Americas led by the Institute for Advanced Study in Princeton. ”
"In recent years, because of the efforts of Andrei Kolmogorov, Aleksandrov and others, the Soviet Union's mathematics is also self-contained. Next door is Japan, where the research of mathematics is also leading the world, and it has made outstanding achievements in probability theory and number theory. ”
"But what about our country? Although there are many world-class achievements, they are still too few for a country as large as ours. ”
"Are we Chinese not smart? Naturally not, even in the United States, Professor Chern is also the top group of people. Professor Yau solved the Calabi manifold, which is a Fields Medal-level achievement. ”
"What's the reason for that? The main reason is, of course, that our country is still poor, but despite being poor, we are not unable to achieve results. Therefore, after solving the Mordell conjecture, in the course of correspondence with some of the world's leading scholars, I came up with such an idea, and Mr. Grotendieck's letter became an important part of the solidification of this idea in my heart. ”
"So I want to learn from Mr. Grotendick in establishing IHES, and to set up a similar mathematical research center."