Xueba starts with change

Chapter 142 If you don’t have enough knowledge, let’s live it

Halfway through December, Zhang Zhongyuan's project was completed on time as planned.

Moreover, Chen Zhou also revised and perfected all the work he was responsible for based on the relevant mistakes recorded in the wrong question collection.

As a result, Zhang Zhongyuan was amazed when he saw it.

The rigor of this calculation and the rationality of this logic make it hard to believe that it was done by a freshman.

He discussed with Chen Zhou without hesitation: "Why don't I leave the writing of the thesis to you?"

Chen Zhou politely rejected Zhang Zhongyuan's proposal.

If he writes a thesis, then his daily time will be taken up by the thesis for most of the time, which is what Chen Zhou doesn't want.

After withdrawing from Zhang Zhongyuan's research group, Chen Zhou started his own plan.

There is an endless cycle between brushing books and topics.

According to Clifford's analysis, he has almost explored it.

A tool, if you want to use it well, you must fully understand it.

Chen Zhou started from the research background and research status of Clifford analysis, and fully understood the past and present of Clifford analysis.

There is also the Cauchy integral formula, which is one of the main formulas of simple-complex analysis, multiple-complex analysis and real Clifford analysis, and is a powerful tool for studying various properties of holomorphic functions.

After getting acquainted with Clifford analysis, Chen Zhou began to find a way to obtain the Cauchy integral formula in Clifford analysis.

These are all for the whole subject.

However, Chen Zhou encountered difficulties at the beginning.

As Zhang Zhongyuan said, this topic is still beyond the scope of undergraduates.

It is also beyond the scope of Chen Zhou's knowledge, even if he has read so many books.

As for the solution, there is only one, and that is to enrich yourself.

If you don't have enough knowledge, let it go!
The study of textbooks and the subject of Clifford's analysis were intertwined by Chen Zhou.

In class, Chen Zhou was brushing his books, and after class, Chen Zhou was on his way to brush his books.

Except when he was with Yang Yiyi, Chen Zhou briefly left the book world.

For the rest of the time, Chen Zhou only worked hard on this one subject.

This kind of process of working hard for one thing, an extremely difficult thing, if you don’t get feedback, it’s actually very sad.

Because, if you don't get feedback for a long time, people will have a sense of self-doubt, which will eventually lead to the defeat of confidence.

Fortunately, Chen Zhou doesn't need to worry about this problem. The wrong question collection is his good partner for feedback.

Every idea, every formula, and every knowledge point, he can get feedback from the wrong question set.

It is also this kind of pointing out the mistakes that enables Chen Zhou to correct his direction in time, and has enough energy to grasp the inspiration at that moment.

Chen Zhou constructs a complex differential form that includes noncommutative Clifford algebra base elements and complex coordinates, and uses this differential form to construct the Cauchy integral kernel in complex Clifford analysis.

Then, through the Stokes formula in the complex Clifford analysis and the Stokes formula in the multi-complex function, the Cauchy-Pompier formula in the complex Clifford analysis and the Cauchy integral of the right canonical function are deduced successively formula.

In this way, the problem of Cauchy's integral formula is solved, which lays the foundation for the subsequent research on various properties of holomorphic functions and the problem of partial differential equations in complex Clifford analysis.

After that, according to the definition of T operator with Bocher-Martinelli kernel in complex Clifford analysis, using Herder's inequality, Chen Zhou also obtained the boundedness of T operator in Lp space.

However, what Chen Zhou has achieved now is still far from solving the entire problem...

12 month 25 day.

The official website registration entrance of Qiu Chengtong University Mathematics Contest is officially open.

The Qiu competition was initiated by the famous mathematician Mr. Qiu, and it was carried out among college students in all regions of Huaguo.

From the five major directions of analysis and partial differential equations, geometry and topology, algebra and number theory, probability and statistics, and applied and computational mathematics, it comprehensively tests the mathematical knowledge, accomplishment and ability of college students.

Corresponding to the above five subject directions, the competition sets up "Hua Award", "Chen Award", "Week Award", "Xu Award" and "Lin Award".

For the individual competition, there is no limit to the subjects that each person can register for, and they can register for all five subjects.

In addition, in order to reward excellent comprehensive ability, students who register for multiple subjects in individual individual competitions will be selected according to their best results in the competition, and an individual all-around award, also known as the "Qiu Award", will be selected.

In addition to the individual competition, there is also a team competition, that is, five people from the same school form a team to participate, and each of the five people is responsible for a subject.

No.1 in the team competition won the gold medal.

Chen Zhou called Yang Yiyi, together with Zhao Qiqi from the dormitory, to sign up for the individual and team competitions in Qiu Sai.

As for the subjects, Chen Zhou naturally signed up for all five.

This time, he can properly collect these awards named after the great mathematicians of the Hua Kingdom.

Naturally, the three brothers in the dormitory, like Chen Zhou, had registered for all five subjects.

As a student of the Department of Mathematics of Yanda University, is there any reason to be afraid of mathematics competitions?

Yang Yiyi only reported the two subjects of analysis and partial differential equations, geometry and topology.

As for the team competition, she was responsible for the subjects of analysis and partial differential equations.

Analysis and partial differential equations are widely used in physics. Yang Yiyi's freshman mechanics course has a lot to do with partial differential equations.

This is also the subject that Yang Yiyi is most confident in.

After the registration is completed, there are still nearly 4 months before the official start of the competition.

It's enough for them to prepare individually.

The counselor Huang Yemei also specifically asked Chen Zhou and the others whether they had signed up, who was the other member of the team, and so on.

In Chen Zhou's dormitory, when Huang Yemei knew that the fifth member of the team was Yang Yiyi, she first glanced at Chen Zhou, and then looked at Zhao Qiqi and the three with complicated eyes, thinking in her heart, didn't these three follow the campus network?
In addition, Huang Yemei also gave the answer to Chen Zhou's previous question.

There is no problem with minoring in the Department of Physics, but you must first complete the undergraduate courses in the Department of Mathematics.

Don't think about the situation of double majoring in the Department of Mathematics and Department of Physics at the same time. There are not no such students, but in the past 20 years, there has not been a single student.

As for how to complete the undergraduate course, Huang Yemei looked at Chen Zhou and smiled, and gave a simple and rude method.

In the final exam of the freshman year, take the exams of each grade at the same time.

Speak with results.

Excellent grades, naturally no problem.

Otherwise, don't talk about it.

Huang Yemei said softly: "This condition is actually quite beneficial to you. How many textbooks have you taken away from me?"

"I've read more than half of it." Chen Zhou nodded and replied.

For him, this is not only beneficial, it is actually the easiest way...

Moreover, the completion of the undergraduate courses in the Department of Mathematics also means that he can graduate early.

You only need to complete your dissertation.

Chen Zhou was thinking like this, and he heard Huang Yemei say: "If you want to graduate early, this condition is also a prerequisite. After completing the undergraduate course, you only need to complete the graduation thesis with a professor, and you can graduate early .”

"As for the physics department, I don't know the specifics, but I guess it's about the same..."

(End of this chapter)