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Chapter 104 Mathematics is not that simple...but it is not difficult either!(2/3)

"Of course, he only downloaded five articles and didn't read that much. I talked to him at noon. He only reads the 2011 article for the time being." Tian Yanzhen explained again.

The phone was given to Tian Yanzhen. Zhang Shuwen was not talking, but was just walking forward under instinct. Soon, the east gate of Yanbei University was already in front of him. Zhang Shuwen suddenly stopped, and Tian Yanzhen also stopped.

"Compared with such a student, your tutor is a little worse!" Zhang Shuwen said pertinently.

Tian Yanzhen smiled but said nothing.

If the two exchange positions, he would have said the same thing after he attended a similar seminar in Huaqing at this time.

Zhang Shuwen added: "Of course, I'm a little bit short. But there is one thing you are right. This child deserves to be carefully trained. I'll send you a private email later. If he has any problems in the field of number theory in the future, he can send me an email to discuss at any time. Of course, you can also leave my private phone number to him."

"Okay!" Tian Yan responded concisely.

There is no need to emphasize anything else, mathematics also emphasizes a tradition of inheritance. Not only China, but the whole world is like this. Eastern European, Soviet, Dutch, French, Rui, American, etc., all of them should be. They can even be divided into more detail. Even if Zhang Shuwen's statement does not have the name of teachers and students, they already have a friendship between teachers and students. Sometimes the friendship between teachers and students is even more reliable than the name of teachers and students.

If students are really bullied in the future, how can they not come forward to protect them as teachers?

Who hasn’t had a mentality of protecting a short-term care? I, a teacher, have the right to criticize me, but you are worthy of it?

When the agreement reached, Zhang Shuwen couldn't help asking again: "I won't ask the last question he asked, you have to transfer it from you before sending it to me, right?" Tian Yanzhen smiled and said confidently: "Not that he is already my student."

"Goodbye." Zhang Shu said concisely. "No, don't give it away." Tian Yanzhen nodded.

After saying goodbye to Zhang Shuwen, Tian Yan turned around and walked towards the research center with satisfaction, while Qiao Yu was still waiting for him.

All the goals have been achieved, not only showing off the talented students they discovered, but also allowing the other party to tutor their students for free, and by the way, they can protect Qiao Yu's future...

Zhang Shuwen returned to Huaqing University and wanted to go back to the hotel to calm down, but he received a message from the old man on WeChat asking if the seminar was over. After thinking for a while, he simply came to the old man's office first. There was no way, he had to accept the love of the old man for many things back then.

"Here I'm back." "Yeah."

"There are really such students?" Obviously, the old man was very curious. No matter how brilliant a life is, it cannot withstand the polish of time.

Why is the Fields Medal only awarded to mathematics under the age of forty? Because everyone knows that before the age of forty, people are the most energetic and brains most active. After the age of forty, even if their bodies are still healthy, their brain power begins to decay greatly.

So there is no big achievement before the age of forty, and after the age of forty, it is very difficult.

This is even more true after 60 years of age. After time, all that is left is experience. At this time, scientific research is not only because of the lack of mental strength, but also because of the lack of energy. Perhaps we can only focus on disciples who can inherit their legacy. An excellent student will naturally make the big guys happy to see the hunt.

Of course, Zhang Shuwen knew this kind of psychology, because he was the same, so he chose to come back and solve the doubts in person.

"Yes, the talent is amazing! I thought about what kind of talent I had. I could read Schultz's paper overnight without having to come into contact with much related background knowledge before, and he was only fifteen years old." The old man said decisively: "It is impossible for such a person to be deceived. I understand my students, and he is very experienced in making fraud."

Zhang Shuwen was also very moved that this master's inheritance...

Anyway, the old man in front of him and the Professor Tian opposite him had a very different relationship with his mentor in the end. What makes people boast is that these two are the students with the highest achievements of their mentors. If they are regarded as a faction, in the process of inheritance, the best disciples and mentors will turn against each other and become a tradition.

But he shook his head and said affirmatively: "I can tell whether he was deceived or not? I believe that if you go, you will have the same conclusion. And even if you make a false statement, the other party is just a fifteen-year-old child. You should know that his mathematical derivation process is extremely rigorous.

And after I pointed out some mistakes and gave a brief explanation, he could immediately understand what I wanted to express and immediately correct and simplify the original derivation process. If you want to say that this is a fake... that can only be said that this child is more talented!"

The old man was stunned and asked, "What's the problem? Tell me how that child corrected it immediately."

Zhang Shuwen nodded.

This is also the reason why he did not reply to the message directly on WeChat, because he knew that when he was honestly sure of the talent named Qiao Yu, he would definitely come to this end. So he roughly wrote down Qiao Yu's guesses and the demonstration proof process.

"...He did not use Riemann-Roch theorem here, but instead introduced constants to hard deduce the result. I just briefly told him the content of Riemann-Roch theorem, and he made the following revision... "Is this a live modification?"

"Yes, on-site revisions, my explanation will not exceed three minutes."

The old man closed his eyes, thought for a moment, and said calmly: "There is probably only one possibility. His understanding of Schultz's theory is not at the technical level, but at the essence of mathematics. He understands it, but actually doesn't understand it, or it doesn't fully understand it."

This sentence is very mysterious, but Zhang Shuwen understood it because the essence of mathematics is so mysterious.

However, Zhang Shuwen was not sure, just nodded and responded: "Maybe, we can't see what the child is in his mind, but whether he understands it or not, it is enough to prove his mathematical talent. At least I can be sure that this child's talent is at least not worse than Schultz."

The old man nodded in agreement, sighed deeply, opened his eyes wide with fighting spirit, and said loudly and firmly: "Shuwen, what kind of virtue does Tian Yan really have to teach such a student? How can he teach well? He is not worthy of teaching! Are you right?"

Zhang Shuwen took a deep breath...

Good guy, how did he answer this?

However, he could understand the old man. He had taught seventy or eighty doctoral students in his life. It would be fine if he turned against the students who had the highest achievements at that time, but he had not yet cultivated a student who had achieved success and surpassed the other party. If he had been the case, he would probably not be willing to do so in his life.

Of course, it would be fine if you just do this for a lifetime, but the world of mathematics must be about strength after all.

If a student with the worst relationship with his disciples won the Fields Medal in the future and became a leader in the new generation of mathematics in the future, when the future is final, how will history evaluate the merits and demerits of the two? Ordinary people will not consider these because they do not have the qualifications, but this old man is really qualified to consider them.

As for whether you are worthy of teaching or not, you are already a student of others. You can’t force yourself to grab it, right?

So Zhang Shuwen chose to remain silent. Speaking of the family chores of other people, Qiao Yu can still be regarded as the disciple of the old man in front of him, so he naturally would not make any comments. "Didn't you ask the contact information of that child?" The old man asked again.

Very good, this question can be answered, but I really want to steal the students?!

However, Zhang Shuwen could only shake his head and replied, "No, it's not convenient. But I left my private email address for Tian Yanzhen and promised that if Qiao Yu has any problems in studying number theory in the future, he can contact me at any time." "Hey, you're confused! Then when do you have to wait? By the way, where did he find this child?"

Zhang Shuwen thought about it and probably wouldn't be a secret, so he answered, "It was discovered in the CMO. When I came back, I checked it. It was one of the two full-scoring contestants in CMO this year. " "Is it called Qiao Yu right? OK, I'll ask."

"Mr. Zhengxin, I'll go back to the hotel first." "Go, you have a good rest first."

.

On the other side of the street, Yanbei University, Tian Yanzhen returned to the office.

As soon as I entered the door, I saw Qiao Yu curled up on the sofa and quietly reading the book. When he saw him in, I jumped up quickly. Although Tian Yanzhen generally doesn’t like students with irregular sitting postures, he just smiled and said nothing. After all, he is only fifteen years old, so it is normal to have a small flaw. As the saying goes, no one is perfect.

Well, to put it bluntly, everyone loves the house and the mistress.

This is human nature. If you change to an annoying person, you may be able to be sent to the eighteenth level of hell in a sitting position.

"Director Tian, ​​you are back." Qiao Yu took the initiative and greeted him enthusiastically. "Well, what book are you reading?"

"Uh..." Qiao Yu picked up the book and looked at the cover before saying, "It's Nidham's "Visualized Differential Geometry and Forms." This book is very good as an introductory book for differential geometry. You can take it away later." Tian Yanzhen said with a smile.

"Thank you, Director Tian." Qiao Yu hurriedly said thanking you, then looked around and said, "Do you drink water? I'll pour you water." "No, no, just sit down."

"Oh, OK." After saying that, Qiao Yu sat right across from Tian Yanzhen. When someone was there, he would still not be so presumptuous.

"What Professor Zhang said to you at the seminar today didn't hit you?" Tian Yanzhen asked.

"No, I think Professor Zhang is right. If the result is too complicated, it will be of no use." Qiao Yu said seriously.

"Although I said that, it cannot be said that it is completely useless. Just as I told you at noon, the thinking you made during the derivation process is actually a very responsible wealth. To this day, mathematical research has developed, not all propositions are invented like calculus to solve practical problems.

It’s like some mathematical achievements, which may not be of use within the time limit. But maybe hundreds of years later, it will be a standard fact and an exercise. For her scholar herself, the result of proof is like buying the elite box that was used to pick up the beads, and the method of proof is the beads inside.

It's the opposite for others. This is also the most charming part of mathematics, so you don't need to be discouraged at all, do you understand?" Tian Yanzhen taught patiently.

"Don't worry, Director Tian, ​​I have a very stable mentality. Anyway, I am a newbie in mathematics, what am I afraid of, right? Besides, my goal is that my future results are the same beads for myself and others! Mathematics may not be that simple, but I don't think it will make me feel despair!"

Qiao Yu said confidently.

A newborn calf should not be afraid of a tiger. Compared with the goal he has hidden in his heart, where is it?

If even a great mathematician who is in the mathematics world is not a good man, Qiao Yu does not think he will have the opportunity to realize his wishes in the future. After all, only by achieving the ultimate in any industry can he be rich and prosperous.

Qiao Yu's good attitude obviously comforted Tian Yanzhen, and a smile appeared on his face: "It's good for you to have this attitude. In addition, today you also feel that the basic knowledge of all aspects of mathematics is also very important.

Although Professor Xue and I don’t think we need to frame the courses for you, you still need to make up for this. This is a book list I drafted for you last night by referring to the library of Yanbei University Library. In the future, you can arrange your study time every day, read the papers, and you must also read these books."

After saying that, Tian Yanzhen picked up two printed books from the table and handed them to Qiao Yu.

"Thank you, Director Tian." Qiao Yu took the book list and looked at it. Good guy, he printed two large pages, and they were all foreign works. The English names written directly were not translated. He couldn't help but subconsciously muttered: "So many?" "You don't need to read all of them. This book list has two stages. The books included in the first stage belong to the basic category. Whether you are interested or not, you must read them all. In the second stage, you can choose the fields of interest to read deeply. In this way, at most one year, you should understand which field you are more interested in, and you can't always do this. Your age is the most suitable time to study hard, and you can't waste even half a year."

Speaking of this, Tian Yanzhen became serious.

Qiao Yuze's eyes rolled and immediately agreed, "Don't worry, Director Tian, ​​I will start reading these books tomorrow. But when it comes to saving time, I have something to ask you to see if you can help me think of a solution?" "What do we want between our master and apprentice? As long as you think it is beneficial to your study, please mention anything you need." Tian Yanzhen answered readily.

"You see, this is not the first phase of the IMO training next month. I want to take more time to think about this proposition during this period. Do you think you can just do the special training directly at Yanbei University, so as not to waste time running around."

Qiao Yu immediately raised the request he had wanted long ago. To be honest, this is indeed not an excessive requirement.

But Tian Yanzhen thought about it and asked, "Do you want to participate in IMO? In fact, based on your current situation, whether to participate in IMO is not that important."

Qiao Yu shook his head quickly and said, "No, Director Tian, ​​you said you wanted me to participate in 1MO, and our Star Iron No. 1 Middle School had never produced 1MO gold medal players before. I also promised my alma mater that must achieve this zero breakthrough." Tian Yanzhen smiled and said, "Okay, this is indeed a serious matter. I will go to the math learning program. But first, I will just give a suggestion. As for whether it can be done, I don't dare to guarantee you now. If the special training location has been determined and cannot be changed, I have no choice."

"It would be great if you could give me some advice. If it really doesn't work, there is nothing I can do. By the way, since you always have to give me suggestions to the mathematics learning, why not give me another suggestion. The special training in the next sentence of March is just to choose a school in Xingcheng.

This is not what I think. The main reason is that I agreed to Principal Zhang. When the second stage of special training is over, I will go back to my alma mater to give a mobilization speech to senior high school graduates. The alma mater is very nice to me, and I can't ignore what I promised......Oh." After all, it is definitely a great thing for my students to be grateful.

I can only say that it is really reasonable to use the alma mater complex as a reason, so reasonable that Tian Yanzhen doesn’t know how to refuse.

So Tian Yanzhen agreed without hesitation: "Okay, but the same thing is true. I can't guarantee anything to you now. After all, it depends on whether there is any school in Xingcheng to apply to host this event. The mathematics society is not related to local schools.

Tie."

"Thank you, Director Tian."

"Are you still used to living in life? Are you any other needs?" Tian Yanzhen asked again.

"There's nothing else. Actually, I'm quite used to it. The food in the cafeteria is also very suitable for it. Oh, by the way, Teacher Xue asked me to tell you that I will definitely need a printer in the future, but I think there is no need to use this for the time being, right?" Qiao Yu thought.

After Su Song's explanation, he said casually.

Tian Yanzhen said without hesitation: "This is really necessary. Professor Xue is a good person and meticulous. He told you about this matter directly, and just said that I told him to transfer one with you, and let him help you install and debug it."

"Uh? I'll bother you with this matter, right?"

"It's okay, they are all brothers. Is there any trouble? Forget it, I'll just tell him."

"Oh, then I have nothing else to do."

"Well, then you go to have a meal first. By the way, start reading the books on the book list as soon as possible. I will check them every week."
To be continued...
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