In the largest lecture hall in the teaching building, there are a lot of people.

Although there is still more than half an hour before the actual class, the place is already full of people early.

"Damn, why are there so many people?"

Holding a book, Wang Hai, who dared to come to the class, looked at the crowded classroom and couldn't help but swallow.

He had already come over more than half an hour in advance to grab a seat, but not to mention the position, even the aisle corridor between the seats was almost full.

Beside him, the roommate who was holding the book complained: "Is there really so many people in the Department of Mathematics of NTU?" ”

"I told you not to listen sooner, now it's okay. Don't bb, hurry up and find a place, if it's late, you won't have to sit in the aisle. The other roommate shouted, walked towards the empty aisle, and sat down without feeling dirty.

Seeing this, the other two roommates also trotted over and huddled together.

Meow a mi, just this sentence of effort, the classroom walked into several students holding books, really late, really not even in the aisle to sit.

Half an hour was not a long time, and while the students were discussing whether Xu Chuan would come to teach them in person, Xu Chuan walked into the lecture hall with a textbook.

Seeing the figure of anticipation walking onto the podium, the discussion in the classroom became louder and louder, and some people even shouted out accidentally.

"Academician Xu! You're actually here! ”

Hearing this, Xu Chuan raised his eyebrows and said with a smile: "What, don't you welcome me to teach you a lesson?" So I'll go? ”

As soon as these words came out, the student who shouted out immediately made a big red face.

Instead, the other students started to laugh.

"No, no!"

"That's definitely welcome."

"Don't go!"

"Love me!"

Hearing these students shouting more and more outrageous, Xu Chuan hurriedly said: "Cough, okay, everyone be quiet, it's time to get ready for class." ”

Hearing this, the lecture hall instantly fell silent.

Xu Chuan cleared his throat and said, "The content of today's class is "Line Generation Analysis", which has been previewed before, and I hope everyone has already previewed it and can keep up with my rhythm in class." ”

"Linear algebra is a branch of algebra that deals primarily with problems of linear relations. Although it only became a separate branch of mathematics in the 20th century, it has a very long history. For example, the famous 'chickens and rabbits in the same cage' problem is actually a simple problem of solving a system of linear equations. ”

"In the chapter of the ancient Chinese mathematical work "Nine Chapters of Arithmetic and Equations", a relatively complete description has been made, and the method described in it is essentially equivalent to the modern method of performing elementary transformations on the lines of augmented matrices of equations and eliminating unknown quantities."

"In the following classes, I will break away from some textbook things to tell you how to understand and learn this course from the axiomatic method of abstracting concrete concepts, rigorous logical deduction, and ingenious inductive synthesis."

"Of course, because it's out of the textbook, I'd like you to take out your notebook and take notes while I'm talking."

"Otherwise, I'm afraid you'll be confused when you go back."

Hearing this, some of the senior students and even graduate students who were sitting in the classroom and had experienced this class before, swallowed nervously.

Pill!

Proper pills!

In the past, when he was teaching, he often finished half of the book in one class, and it was difficult for them to keep up with the rhythm after pre-studying.

Now it's directly out of the book, proper GG, who will save it!

Xu Chuan didn't care about the expressions on the faces of these students, and it was not a problem for him to come to class out of the textbook.

With his mathematical ability, he has long surpassed the person who wrote the textbook in his hand.

The only thing to note is that this is a big class, and not to talk about it is beyond the scope of what these college students can understand.

And in today's class, he wants to try something else to see if he can bring more help to these students.

Sitting at the back of the lecture hall, Chen Zhengping, Director Zhou Hai of the Academy of Mathematics and Vice Dean Rong Zhizhuan sat together, listening to Xu Chuan's first lecture after returning in a low-key manner.

Listening to Xu Chuan's lecture, suddenly, Zhou Hai sighed a little: "As Academician Xu, I also have such a deep understanding on the online generation, I never thought that panel clustering and H-matrices could also be used to calculate matrix vectors." ”

"From this aspect, the efficiency of solving the corresponding algebraic equations can be greatly improved, and in an ordinary college class, you can actually hear about how to optimize the method of solving linear algebraic equations."

Chen Zhengping is a little unclear about Zhou Hai's feelings, so he is not a scholar majoring in mathematics and does not know much about this aspect.

On the other hand, Rong Zhizhuan, who had already been promoted from the dean of the School of Mathematics to the vice president of NTU, nodded approvingly and said: "The main difficulty in solving large-scale linear equations lies in its workload, and how to reduce its workload is one of the biggest problems in computational mathematics. ”

I don't know if he came up with this method on the spot, or if he had already completed the idea. If it was an impromptu idea, it would be terrifying. ”

After a pause, he continued, "But for these students, I'm afraid this path is not so suitable. Except for some senior students, other undergraduates may have difficulty understanding this method, and he spoke a little deeply. ”

Zhou Hai shook his head with a smile and said, "If it is abrupt and directly talking about this, it is indeed some." ”

"But he is from the shallow to the deep, if you listen carefully, even if you don't understand, this can bring them a seed."

"As for whether this seed will take root in the future, I don't know."

"Still."

"If he can continue to teach in this way for a long time, I am sure that the glory of the Department of Mathematics at NTU will be seen sooner or later."

Rong Zhizhuan smiled and said, "Isn't the Department of Mathematics of NTU brilliant enough now?" Fields Medal Winner! Two millennial problems! No other college has this honor! ”

One lesson, ninety minutes.

This time, Xu Chuan didn't look at the textbook much, or a textbook, and the content of this class was only about one-fifth.

However, his impromptu revision of the teaching method in the class obviously brought inspiration to many students who listened to the class.

Although most of these students may not be able to absorb all the knowledge on the spot in class, as Professor Zhou Hai said, this class planted a seed in their hearts about the field of 'linear algebra'.

The rest is that these students need to slowly absorb the knowledge, water and fertilize themselves, so that such seeds can take root and sprout and grow slowly.

Sitting in the front row of the classroom, a junior who had come nearly two hours early to take up his seat looked at the notebook that had already filled many pages, with a thoughtful expression on his face, not knowing what he was thinking.

Beside him, another graduate student with some Mediterranean hair was a little emotional: "As it is Academician Xu, the level of lectures is much better than that of the professors in our college, no, it should be said that the two cannot be compared at all." ”

Hearing this exclamation, the junior student sitting next to him came back to his senses, and although he didn't know the brother next to him, he still replied proudly: "That's natural, Academician Xu is a Fields Medal winner!" ”

After a slight pause, he seemed to answer, and said to himself: "But I always feel that Academician Xu's teaching method today seems to have changed compared with before. ”

Hearing this, the graduate students around him asked curiously, "How was Academician Xu in class before?" ”

After thinking about it, the junior student replied: "I can talk about half of the textbook in one class, turn dozens of pages and hundreds of pages, and span several different knowledge points." ”

"Half a textbook in one class? Good guys, is that exaggerated? After turning almost 30 pages today, I feel a lot. Hearing this, the graduate student was a little confused.

"Why, haven't you heard? Judging by the way you look, you should be a graduate student, right? It shouldn't be. The junior asked with a smile.

The graduate student with M-type alopecia shook his head and said, "I'm not from NTU, I took the subway from Hohai University after hearing the news." ”

Hearing this, the junior nodded calmly, not surprised at all.

It's only two subway stops away, and you can listen to this big guy's lecture, is it worth being a yuppie okay?

Glancing at the clock hanging on the wall, Xu Chuan threw the chalk in his hand into the chalk box, glanced at the students in the lecture hall, and said, "That's all for today's class." ”

"There are still about ten minutes before the end of class, so if there is something you don't understand, you can ask questions now."

Hearing this, an arm in the classroom immediately raised.

Xu Chuan ordered one casually, and then began to answer doubts, and after a while, he answered several questions.

At this moment, a girl stood up, her eyes dancing with excitement, and asked, "Professor Xu, do you have a girlfriend and will you find a girlfriend?" ”

Hearing this outrageous question, Xu Chuan coughed and said, "This kind of privacy question is not within the scope of the answer. ”

Rejecting this girl's question, he glanced at the girl who sat down with a regretful face, he didn't look for a girlfriend, did he still look for a boyfriend?

Ahem, this kind of thing, it's scary to think about.

After throwing out the thoughts in his mind, Xu Chuan came back to his senses, glanced at the time, and continued: "There is still some time, and there are no students who have problems." ”

"Professor, I heard that when you were solving the NS equation before, you suddenly got inspiration in class, and I would like to ask if this class has brought you any inspiration."

After talking a lot, probably realizing that he was a little verbose, the chubby little boy who raised his hand quickly cut off his words and asked a final question.

"Ahem, the main thing is, I want to ask, which millennial problem are you going to shoot next?"

The corners of Xu Chuan's mouth moved, and he stopped talking.

Why do one or two think he's going to make a move on the millennium problem next?

After thinking about it, he spoke: "I don't have any ideas for the time being, as for the future, I might try to study the existence and quality gap of Yang-Mills?" ”

"It's the same problem as the NS equation, and it's a difficult problem in the field of mathematical physics, and I'm very interested in it."

Looking at the gradually excited eyes of the audience, Xu Chuan hurriedly added:

"Of course, it's just that I'm interested in researching it."

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