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Chapter 102 The First Topic Discussion

Chen Zhou first messaged Wu Xiping: "Okay, Professor, I'll be right there."

Within two seconds, Wu Xiping returned an "OK" gesture to him.

Putting away the phone, Chen Zhou sorted out the materials, then talked to Yang Yiyi, then got up and walked towards the seminar room.

Chen Zhou didn't quite remember the location of the seminar room, so he followed the signs in the library and searched for a while before arriving at the seminar room.

In the seminar room, there are not only two professors Wu Xiping and Zhang Zhongyuan, but also a young face.

"Let's get to know each other." Wu Xiping pointed to the young face and introduced to Chen Zhou, "This is the senior of your mathematics department, named Shen Jing."

This Shen Jing is none other than the senior who registered for Chen Zhou on the first day of school.

Chen Zhou said hello, "Senior, hello."

Without waiting for Wu Xiping to introduce him, Shen Jing also recognized Chen Zhou. He looked at Chen Zhou in surprise: "How could it be you? Chen Zhou, didn't you just start your freshman year?"

"Uh, coincidence." Chen Zhou explained.

Shen Jing was about to ask again, but was interrupted by Wu Xiping: "Do you know each other?"

Shen Jing nodded, and briefly talked about the report.

Wu Xiping said with a smile: "It seems that you two brothers and sisters are quite destined."

"Yes." Shen Jing said again, "I think the rookie you mentioned, Professor Wu, should be a sophomore no matter what. I didn't expect it to be Chen Zhou."

Zhang Zhongyuan interjected: "You probably have a lot more that you didn't expect. Alright, about the pleasantries, you two will talk privately later. Now that everyone is here, let's start the first topic discussion."

Wu Xiping smiled and said, "Look, we can't leave Professor Zhang in the cold. It would be embarrassing for him to look at us and exchange pleasantries, haha."

Zhang Zhongyuan took a look at the old man, but didn't bother him, and opened the notebook on his own.

Seeing this, Wu Xiping immediately stopped laughing.

He is too familiar with Zhang Zhongyuan's action, which means, you probably don't want to have a discussion with the amiable one, right?Well, you can't blame me for preparing too many questions...

Zhang Zhongyuan's question is that he puts forward his own thinking and questions from the perspective of this research project.

Originally, this was also normal, but the key point was that Zhang Zhongyuan's thinking and questioning were one question mark after another.

There was a time when Wu Xiping didn't think about Zhang Zhongyuan's action, but in a project discussion, he was overwhelmed by Zhang Zhongyuan's questions.

After a topic discussion, my voice became completely hoarse.

"Cough cough." Wu Xiping coughed twice, and greeted Chen Zhou and Shen Jing to sit around, "Our topic this time is mainly the applied research on the interpenetration and fusion of advanced algebra and mathematical analysis."

"I have also sent the information about this research project to everyone's mailboxes. I believe you have read it and have your own understanding."

"Then." After pondering for a while, Wu Xiping called out his name and said, "Shen Jing, you are a senior, please tell me your views on this subject first."

Shen Jing thought for a while, and began to say: "As a student of the Department of Mathematics, mathematical analysis and advanced algebra are the two most important courses that we start to study as soon as we enter the university."

"At the same time, they are also the two most basic courses in mathematics, and they are used in almost all postgraduate courses. Among them, advanced algebra will be completed in the freshman year, and mathematical analysis will be taught until the fall semester of the sophomore year."

Speaking of this, Shen Jing paused, glanced at Chen Zhou, and then continued: "Advanced algebra mainly includes two parts, polynomial algebra and linear algebra. In general, mathematical analysis can be divided into five parts, limit, Continuity, differential calculus, integral calculus, and series."

"Our subject is to find the connection between the two from these contents."

"For example, the research objects of mathematical analysis all belong to the field of real numbers, and some problems cannot be solved within the field of real numbers, or at least it is very complicated to solve. Like the proof of the fundamental theorem of algebra in advanced algebra, it is have to rely on the theory of complex numbers”

".The basic theory of complex numbers involves the content of complex variable functions, and the origin of complex variable functions is derived from the extension of the research object of mathematical analysis from the field of real numbers to the field of complex numbers."

".More examples of this can be found by exploring the content of both. So, although the problems in mathematical analysis and higher algebra are different, there is a close connection between the two."

"Therefore, I think we should start with the specific issues involved in mathematical analysis and advanced algebra to study this topic."

"Professor, the above are some of my views."

After Shen Jing finished speaking, Wu Xiping and Zhang Zhongyuan looked at each other, and they both saw the expression of appreciation in each other's eyes.

Wu Xiping nodded, and said to Chen Zhou: "Chen Zhou, please share your opinion."

"Okay, professor." Chen Zhou organized his language and said, "As for the difference and connection between mathematical analysis and advanced algebra, my opinion is basically the same as that of Senior Shen Jing."

". But I need to add that, in my personal opinion, advanced algebra is studied from the perspective of macro foundations, while mathematical analysis is studied from the perspective of internal mathematical relationships."

"That is, higher algebra is like the skeleton, while mathematical analysis is the interior. They both represent different perspectives on the mathematical world"

".Well, advanced algebra can guide the research of mathematical analysis from a macro perspective. Advanced algebra's deep research on space constructs space through base sum operation rules, and at the same time describes space from different angles through basis transformation, which exactly corresponds to Various techniques of transformation in mathematical analysis."

". Regarding the research ideas of this topic, I agree with Senior Shen Jing's opinion. We can start with the specific issues involved in the two to study the internal connection."

"But I would like to add that in the research of the problem, the content of the two can be specifically linked."

"Here I also give an example. The zero-point problem of a function in mathematical analysis generally adopts methods such as the intermediate value of continuous functions, Rolle's theorem, and Darboux's theorem. Some problems can be solved by Weierstrass approximation theorem."

"However, if the mathematical analysis and advanced algebraic knowledge are connected horizontally, a simpler algebraic solution will be obtained."

"Professor, this is my personal thinking, please add."

After Chen Zhou finished speaking, he glanced at Shen Jing, who was looking at him in surprise.

Wu Xiping and Zhang Zhongyuan looked at each other again, Wu Xiping's eyes were full of surprise and admiration, while Zhang Zhongyuan's eyes were full of admiration.

Zhang Zhongyuan also raised his eyebrows at Wu Xiping, as if to say, look, is this kid the same as I said, is he as handsome as I was when I was young?

(End of this chapter)