Learn......

Mathematics?

Lu Zhou was slightly stunned.

After a moment of silence, he coughed lightly and spoke.

"Computational materials science is also a ...... of mathematics"

"I don't want to learn computing materials," Han Mengqi shook her head a little stubbornly, "I just want to learn mathematics." ”

As if she felt that her expression was not quite accurate, she added one after that.

"I mean, pure mathematics."

"Purely Mathematical ......"

Hearing this request, Lu Zhou suddenly felt a big head.

Although logically speaking, he does not really want to make irresponsible remarks about other people's ideals......

But......

Putting down the ballpoint pen in his hand, his ten fingers crossed on the desk, Lu Zhou looked at Han Mengqi seriously and asked.

"Can you tell me why...... You've been studying computational material for three years, why did you choose to switch to pure mathematics at this time? ”

In general, it is common to switch from pure mathematics to other applied mathematics disciplines, but it is somewhat rare to switch from such applied mathematics disciplines to pure mathematics.

And it would be okay if it were someone else, but among all his students who studied computational materials, Han Mengqi was the most gifted and the most satisfying student.

Even, even Jericho, who has gone to MIT for a Ph.D., may not be able to compare with her in talent.

It is impossible to say that he has a bright future in computational materials science, but to switch to a completely new field of research, it is impossible to say that he does not feel sorry at all.

After all, when cultivating her, Lu Zhou also put a lot of effort into it.

Facing Lu Zhou's serious eyes, Han Mengqi looked away slightly, hesitated for a moment, and said in a somewhat complicated tone.

"I don't like chemistry at all...... The reason why I chose chemistry in the first place was only because of the dispensing. Actually, I was planning to change my major in mathematics, but you got an undergraduate training program at Kim University, and I happened to be among the top few grade points in the department at that time, and I was confused by the instructor who said a few words, so I signed up in a daze......"

Perhaps she felt that her reason was too naïve, so that when it came to the future, she herself was embarrassed to continue.

Transfers?

Lu Zhou almost didn't spurt out a mouthful of old blood.

Little Sister...... Oh no, little sister, you're about to graduate with a master's degree, is it really appropriate to turn the college entrance examination and choose a major now?

"It's nothing, is it? My math major is also adjusted," with a crying and laughing expression, Lu Zhou tried to persuade, "The key is not whether it is adjusted or not, but whether it is suitable or not-"

"It's not whether it's suitable or not," Han Mengqi shook her head, looked at Lu Zhou seriously, and said, "It's whether you like it or not." ”

Looking at her serious eyes, Lu Zhou was slightly stunned.

Speaking of which, this seems to be the first time she has refuted her own opinion......

After being silent for a while, Lu Zhou recalled what he had said at the beginning, and finally sighed and spoke.

“…… You're right, interest is the best teacher. ”

Putting aside the system factor, he really likes to study mathematical problems and the feeling of being immersed in the world of mathematics, so he chooses mathematics as the direction of his struggle.

If his students are genuinely fond of math......

He really didn't stop her from taking a stand.

Even in his opinion, computational materials science is obviously more suitable for her than mathematics.

Hearing that Lu Zhou agreed with his thoughts, Han Mengqi's face suddenly bloomed with a smile and said happily.

"That's—"

"I won't stop you," looking at Han Mengqi with a happy face, Lu Zhou paused for a moment and continued, "But, my doctorate is not so easy to get into...... Especially pure mathematics. ”

Pursing the corners of her lower lip slightly, Han Mengqi said firmly.

"It's okay...... I'll try. ”

“…… Some things can be done more than just hard work. Mathematics is a subject that is quite a test of talent, especially pure mathematics. There are many people engaged in research in this field, but there are very few who can actually make achievements that can be called results. Some people spend their entire lives only learning and summarizing the knowledge of their predecessors, and are far from creating. ”

As he spoke, Lu Zhou took out a piece of scratch paper from the table, picked up the ballpoint pen resting on the table, conceived for about ten seconds, and wrote a line of calculations on the paper.

[For any real number s>1, define ζ(s)=Σ1/(m^s)......]

Looking at this line of calculations, Han Mengqi wrinkled her nose slightly.

"...... this?"

It seems to be very simple.

Lu Zhou replied lightly: "Riemann zeta function." ”

With that, he wrote down the last part of the question.

【…… To verify that ζ(2n) is the transcendent number. 】

As soon as he heard the word Li Man, Han Mengqi, who was still thinking about this question that seemed to be very simple, suddenly shook his head and said tremblingly: "Will you assign me such a difficult homework as soon as you come up?" ”

"Don't be scared when you hear Li Man, you are living in the future one hundred and fifty years after his death," Lu Zhou smiled and handed the super high self in his hand to Han Mengqi, "In addition, this is not homework, but an exam." ”

“…… Examination? ”

"Yes," Lu Zhou nodded, "If you can solve this problem, I will allow you to study for a PhD in pure mathematics with me." ”

At this point, he paused for two seconds before adding.

"Of course, if you change your mind and want to read the calculations, the door to my office is still open for you."

After all, her paper on topological crystal insulators, Lu Zhou is quite satisfied. If this little girl can retreat from the difficulties and come back to continue studying the computational materials, he will of course be quite welcome.

Want to learn pure mathematics......

It's not that easy to learn.

Staring at the scratch paper in his hand in a daze, looking at this line of calculations and the problem of finding transcendental numbers, Han Mengqi felt a tingling in his scalp.

Not to mention how to figure out how to solve it, she didn't even understand the problem itself.

In the past, when she studied computational materials science problems, the mathematical methods she used were basically concentrated in the fields of functional analysis, geometry and topology......

However......

If you give up like this, it won't be too much like her.

Gritting her teeth, Han Mengqi raised her head, stared at Lu Zhou and said.

"Don't expect me to retreat...... I'll start by gathering information. ”

"Why, I'm looking forward to your answer," Lu Zhou smiled and continued, "However, you only have two months to spare, and I hope you can give me an answer before the end of the year." ”

"Hmph, where can you use two months, one month is enough."

With a soft snort, Han Mengqi took the scratch paper and turned around and left.

The door opened and closed again, and the office was quiet again, except for the sound of the tip of the pen.

Sitting on the office chair and pondering for a long time, Lu Zhou suddenly looked up at He Changwen, who was sitting at the table not far from him, that is, the doctor of pure mathematics he was taking now, and asked.

"Changwen, if you were to prove that ζ (2n) is a transcendent number, you could think of several methods."

He Changwen, who was struggling to write, stopped the pen in his hand, and after hesitating for a moment, he pushed the glasses on the bridge of his nose with the cap of the pen inserted in the back and spoke.

"I ...... I can probably think of a ...... No, it should be two ways. ”

The last half of the sentence was said in an affirmative tone after hesitating for a moment.

With his ability, this sentence should be true.

Lu Zhou nodded and said briefly.

"Both are good."

He Changwen hesitated slightly, and asked, "Will it be too difficult for a master's student?" ”

Although he didn't deliberately listen to the conversation between the professor and the master's student just now, he still passively heard some of it.

For those who have not been exposed to pure mathematics at the undergraduate and master's levels, it is indeed a little too difficult to challenge such a difficult problem at the beginning.

This is not only a problem of the lack of mathematical methods, but also a test of a kind of thinking that learns pure mathematics. And these things are not easy for a beginner to overcome, let alone a layman who has not yet started.

Lu Zhou smiled faintly.

"At the Ph.D. stage, it's time to learn to ask questions and find solutions to them."

"If she can come up with a different approach than the standard answer, that's for the best."

"If she can't think of it, it can only mean that she has no talent in this area, and it is better to carefully reconsider the path of the future."