The Literary Life of a Science Leader

Chapter 137 Four Tips for Learning Mathematics (14)

The next day.

Mu Jingchi went to the Science Building again, this time he was lucky, he found Professor Mei Mengyuan in the office.

Compared with Professor Tan Jun whom I met yesterday, Professor Mei Mengyuan looked thinner and taller.He didn't wear glasses, his eyesight remained good, and his hair volume was considered sufficient.

It's just that the abundant hair volume has not been carefully managed like the young people, otherwise it would look more energetic.

As usual, I knocked on the people in the office very politely.

"you are?"

Professor Mei didn't seem to be busy, he was pouring water from a water glass, the expression on his face looked very leisurely, and he didn't feel troubled by math problems.

Hearing the knock on the door, Professor Mei turned around and saw Mu Jingchi with a gentle smile on his face.There was confusion, relief and a kind of hesitation on his face.

It seems that the person in front of him has seen it somewhere, but he can't remember it.

"I'm Mu Jingchi, and I was introduced by Professor Yang from the School of Materials Science and Technology."

Mu Jingchi quickly took the initiative to introduce himself. He was very open about Professor Mei not knowing him.He is not someone who often shows up in public, nor is he a student or professor who often comes to the Faculty of Science. It is normal for the other party not to know him.

Professor Mei suddenly realized.

Standing up, he picked up the lid of the water cup to seal the heat of the boiling water to make tea, while laughing, "You are the outstanding young hero from the School of Materials Science and Technology, and many people in our school admire you very much when they talk about you." , I just never met."

"Old Yang called me, I forgot."

"come in."

Professor Mei put down the cup in which he was brewing tea, took out a disposable paper cup, and made tea for Mu Jingchi.

"Thank you."

Sitting on the sofa, Mu Jingchi took the hot tea with both hands, then took a small sip, and complimented unnaturally, "I don't know much about the tea ceremony, but this tea smells good, and it tastes good when you drink it."

The taste of tea is generally good for the elderly to drink, because what they drink is not only tea, but also the rhyme in it, just like their own life experience.

Young people lack experience and life perception, and cannot realize the way of life from tea.

But the tea is indeed fragrant, which can be perceived.

"It's delicious!" Professor Mei said with a smile on his face, "This is the tea I picked from the tea tree I planted myself, the tea tree I took good care of."

It can be seen that Professor Mei really likes tea very much, so Mu Jingchi continued to follow the topic of tea.

He really doesn't understand tea, but Lao Ji has a hobby of drinking tea, and occasionally chats a few words in his free time.Besides, just because I don't understand tea doesn't mean that I can't talk about this topic.

You can use your curiosity to ask questions, and the other party will answer your questions in terms of what they like and are good at.

In this way, the topic is on the right track, and it also satisfies the big brother's desire to express.

···
"You studied mathematics more deeply for materials research, right?"

The topic finally came to what Mu Jingchi was thinking about. Hearing Professor Mei's question, he nodded repeatedly.

"Although we also received relevant mathematics and physics knowledge when we were freshmen and sophomores, with the deepening of material research, the requirements for mathematics and physics knowledge have become higher and higher."

Professor Mei nodded, expressing her understanding of Mu Jingchi's thoughts.

"I also borrowed some related mathematics books from the library before, but I always feel that the progress of self-study is not smooth, and sometimes I am even a little confused."

Mu Jingchi told Professor Mei about his confusion.

"This is very normal." Professor Mei Mengyuan said this with a smile on his face, not surprised by Mu Jingchi's confusion, "Learning mathematics also pays attention to methods, and the foundation is very important. It is a Step by step."

"One level is impossible to learn, and the next level is to read heavenly books."

"There are also many types of mathematics, and you are not a professional mathematics student. It is not surprising to be confused when looking at the mathematics system from the material knowledge system."

"Then tell me, what should I learn?" Seeing that the dry goods will come soon, Mu Jingchi followed the words.

"Start with linear algebra, mathematical analysis, and probability theory, which are the basic theories of analysis, algebra, and geometry. After having these foundations, the foundation, abstraction, and extension of the foundation follow, including measure theory, modern algebra, topology, Functional analysis, complex variable functions, mathematical statistics, ordinary/partial differential equations, stochastic processes, differential geometry, etc."

"Then there are differential manifolds, algebraic geometry, stochastic dynamics, etc. After you have learned this level, you will almost have your own mathematical system, and you can choose a more in-depth mathematical direction according to your needs and hobbies."

Professor Mei pointed to the bookcase standing next to the office. On it were volumes of mathematics books, most of which were in foreign languages, including English, French and Russian.

"This is your learning direction. As for how to learn, I have four suggestions."

"One is to do the right amount of questions."

Speaking of the first point, Professor Mei glanced at Mu Jingchi, "Just now you said that you borrowed Jiminovic's six mathematical analysis problem sets, but you don't actually need to do too much."

"The function of the exercises is to help you review, think and maintain the functioning of your brain. What you need to do is to keep learning backwards. If you don't understand anything at all, go back and do the exercises to help yourself clear up."

"The second is to understand the mind."

"The essence of mathematics is not the number of questions to do, but the mastery of ideas. Each branch of mathematics has its own main line of thought and methodology, and different branches also have ways of thinking that can be compared and borrowed from each other. Pay attention to it, imitate it, trivial things Knowledge becomes a necklace, and you master a lesson."

"The third is roundabout learning, comparative learning."

"Many times, when you only read one book or one textbook, you may not be able to keep up with it because the author's thinking has jumped somewhere. Therefore, one of the tricks to learning mathematics is to take several internationally renowned textbooks at the same time. , read against each other, or read one book before reading another book on the same topic."

"Skip over the content you are already familiar with. If you don't understand it, stop and think or do exercises. If you still don't understand it, take a step back and move forward from the part you can understand. When you read more, you will When you find that something appears in many places, your understanding of it deepens.”

"The fourth and last point is to make connections with applied disciplines."

Speaking of the last point, Professor Mei looked at Mu Jingchi with a cheerful gaze, "You should understand this very well."

"Many basic subjects are intertwined. Mathematics, physics, chemistry, biology, etc., and materials are also interdisciplinary. You should have a deep understanding. But basic subjects are sometimes boring and boring, and you can't see what it shows. achievement because there is no specific application."

"But if you can establish a connection with applied disciplines and turn the theory of basic disciplines into applications, then you will have a strong interest in other knowledge such as mathematics and physics."

"If you are interested, then you can delve into it."

　Originally, I wanted to write it all at once and then post it, but the plan always couldn't keep up with the changes.But there are definitely four chapters, because you have obtained the boutique badge, so there are some updates, too late today, and will be added in tomorrow's update.

　　
　
(End of this chapter)