Volume 1: Student Life Chapter 142: If you don't have enough knowledge, then work hard
By the middle of December, Zhang Zhongyuan's project was completed on time as planned.
In addition, Chen Zhou also revised and improved all the work he was responsible for based on the relevant errors recorded in the wrong question collection.
So much so that when Zhang Zhongyuan saw it, he was amazed.
The rigor of the calculation and the rationality of the logic make it hard to believe that they were created by a freshman.
He discussed with Chen Zhou without hesitation: "How about I leave the writing of the paper to you?"
Chen Zhou tactfully rejected Zhang Zhongyuan's proposal.
If he wrote a thesis, most of his time every day would be taken up by the thesis, which Chen Zhou did not want.
After leaving Zhang Zhongyuan's research group, Chen Zhou started his own plan.
The cycle between reading books and studying courses never ends.
Clifford analyzed that he had almost figured it out.
To use a tool well, you must fully understand it.
Chen Zhou started from the research background and current status of practical and complex 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, polycomplex analysis and real Clifford analysis, and is a powerful tool for studying the various properties of holomorphic functions.
After becoming familiar with Clifford analysis, Chen Zhou began to find a way to obtain the Cauchy integral formula in Clifford analysis.
These all serve the entire subject.
However, Chen Zhou encountered difficulties at the very beginning.
As Zhang Zhongyuan said, this topic is still beyond the scope of undergraduates.
It was also beyond Chen Zhou's knowledge, even though he had 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, then work hard at it!
Chen Zhou intertwined the study of textbooks and the topic of Clifford analysis.
During class, Chen Zhou was reading books. After class, Chen Zhou was on his way to reading books.
Except for the time he was with Yang Yiyi, Chen Zhou briefly escaped from the world of books.
The rest of the time, Chen Zhou worked hard on this one project.
This process of working hard for something, something extremely difficult, is actually very sad if you don't get any feedback.
This is because if people do not receive feedback for a long time, they will develop a sense of self-doubt, which will eventually lead to the collapse of their confidence.
Fortunately, Chen Zhou does not need to worry about this problem, the collection of wrong questions is his good partner for feedback.
He can get feedback on every idea, every formula, and every knowledge point from the collection of wrong questions.
It was precisely this kind of pointing out of mistakes that enabled Chen Zhou to correct his direction in time and have enough energy to seize the moment of inspiration.
Chen Zhou constructed a basis element of a non-commutative Clifford algebra and a complex differential form of complex coordinates, and used this differential form to reconstruct the Cauchy integral kernel in complex Clifford analysis.
Then, through the Stokes formula in complex Clifford analysis and the Stokes formula in multi-complex variable functions, we successively derived the Cauchy-Pompié formula in complex Clifford analysis and the Cauchy integral formula of right regular functions.
In this way, the problem of Cauchy's integral formula was solved, laying the foundation for the subsequent study of the various properties of holomorphic functions and the problems of partial differential equations in complex Clifford analysis.
After that, based on the definition of T operator with Bocher-Martinelli kernel in complex Clifford analysis and using Helder inequality, Chen Zhou also obtained the boundedness of T operator on Lp space.
However, the results Chen Zhou has achieved so far are still far from solving the entire problem...
December 25th.
The official website registration portal for the Qiu Chengtong College Student Mathematics Competition is now open.
The Qiu Competition was initiated by the famous mathematician Mr. Qiu and is carried out among college students in all regions of China.
The test comprehensively tests college students .
Corresponding to the above five subject directions, the competition has set up the "Hua Award", "Chen Award", "Zhou Award", "Xu Award" and "Lin Award" respectively.
For the individual competition, there is no limit on the subjects that each person can register for, and everyone can register for all five subjects.
In addition, in order to reward students with outstanding comprehensive abilities, students who register for multiple subjects in individual competitions will be awarded an individual all-around award, also known as the "Qiu Award", based on their best performance in the competition.
In addition to the individual competition, there is also a team competition, in which five people from the same school form a team and each of them is responsible for a subject.
The first place in the team competition will receive a gold trophy.
Chen Zhou called Yang Yiyi and Zhao Qiqi from the dormitory to sign up for the individual and team competitions of Qiu Sai.
As for the subjects, Chen Zhou naturally signed up for all five.
In this Qiu competition, he can collect these awards named after great Chinese mathematicians.
The three brothers in the dormitory naturally signed up for all five subjects, just like Chen Zhou.
As a student of the Department of Mathematics at Yanjing University, how could I be afraid of mathematics competitions?
Yang Yiyi only signed up for two subjects: analysis and partial differential equations, and geometry and topology.
As for the team competition, she is responsible for the subject .
Analysis and partial differential equations are widely used in physics. Yang Yiyi's freshman mechanics course is closely related to partial differential equations.
This is also the subject that Yang Yiyi is most confident in.
After registration, there are still nearly 4 months before the official start of the competition.
It was enough for them to prepare.
Counselor Huang Yemei also specifically asked Chen Zhou and the others whether they had registered, who the other member of the team was, and other questions.
In Chen Zhou's dormitory, when Huang Yemei learned that the fifth member of the team was Yang Yiyi, she first glanced at Chen Zhou, and then looked at Zhao Qiqi and the other two with complicated eyes, wondering in her heart, don't these three people pay attention to the campus network?
In addition, Huang Yemei also gave an answer to Chen Zhou's previous question.
It’s okay to minor in physics, but you have to complete undergraduate courses in mathematics first.
Don't think about the situation of majoring in both mathematics and physics. There are students like this, but in the past 10 to 20 years, there has been no such student.
As for how to complete the undergraduate course, Huang Yemei looked at Chen Zhou, smiled, and gave a simple and crude method.
During the freshman year final exam, students take exams for all grades at the same time.
Let the results speak for themselves.
As long as you have excellent grades, there will naturally be no problem.
Otherwise, no deal.
Huang Yemei said softly: "This condition is actually quite favorable to you. How many of the textbooks you took away from me have you read?"
"I've read more than half of it." Chen Zhou nodded in response.
For him, this is not only beneficial, it is actually the easiest way ...
Moreover, completing the undergraduate courses in the Department of Mathematics also means that he can graduate early.
You just need to complete your dissertation.
Chen Zhou was thinking this, and sure enough, he heard Huang Yemei say, "If you want to graduate early, this condition is also a prerequisite. After completing undergraduate courses, you only need to complete your graduation thesis with a professor, and you can graduate early."
"As for the Physics Department, I don't know the exact situation, but I guess it's about the same..."
