Following.

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

Compared with Professor Tan Jun I saw yesterday, Professor Mei Mengyuan looked thinner and taller. He didn't have eyes, his eyesight was good, and his hair was quite adequate.

It's just that this abundant amount of hair is not as delicately groomed as young people, otherwise it would look more energetic.

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

"You are?"

Professor Mei didn't look busy, she was pouring water with a glass of water, and the expression on her face looked very laid-back, and she didn't have the feeling of being bothered by math problems.

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

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

"I am Mu Jingchi, introduced by Professor Yang of the School of Materials. ”

Mu Jingchi hurriedly took the initiative to introduce himself, but he was very open to Professor Mei who didn't know him. It's not a person who often shows his face, nor is he a student or faculty member who often comes to the Faculty of Science, and it's normal for the other party not to know him.

Professor Mei was stunned.

Standing up, while picking up the lid of the water cup to seal the heat of the boiling water to make tea, he laughed, "You are the young man who is in the limelight in the School of Materials, and many people in our college admire you very much, but they have never met." ”

"Lao Yang called me, I forgot about it. ”

"Come in. ”

Professor Mei put down his cup with tea leaves, took out a disposable paper cup, and made tea for Mu Jingchi.

"Thank you. ”

Mu Jingchi, who was sitting on the sofa, took the hot tea with both hands, then took a small sip, and praised it unnaturally, "I don't know much about the tea ceremony, but this tea smells fragrant and fragrant when you drink it." ”

The taste of tea is generally very felt by the elderly, because they drink not only tea, but also the kind of aftertaste in it, just like their own life experience.

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

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

"It's delicious!" Professor Mei smiled, "This is the tea leaves I have plucked from the tea trees I have grown, and the tea trees that I have carefully maintained." ”

It can be seen that Professor Mei really likes tea very much, and Mu Jingchi also followed the topic of tea.

He really doesn't understand tea, but Lao Ji has a hobby of drinking tea, and he occasionally chats in his spare 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 about the hobbies they like and are good at.

In this way, the topic will be smooth, and it will also satisfy the desire of the big guy to express himself.

···

"You're studying math more deeply for the sake of materials research, right?"

The topic finally came to what Mu Jingchi was thinking, and when he heard Professor Mei ask, he nodded again and again.

"Although we also received relevant knowledge of mathematics and physics in our freshman and sophomore years, with the deepening of materials 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 used to borrow some math books from the library, but I always felt that the progress of self-study was not smooth, and sometimes I was even a little lost. ”

Mu Jingchi told Professor Mei about his confusion.

"It's quite normal. Professor Mei Mengyuan said this sentence with a smile on his face, and he was not surprised by Mu Jingchi's confusion, "Learning mathematics is also methodical, and the foundation is very important, it is progressive layer by layer." ”

"I can't learn on the first floor, and the next layer is to read the book from heaven. ”

"There are also a lot of types of mathematics, and you're not a major mathematics student. It is not surprising to look at the mathematical system in terms of the material knowledge system. ”

"Then tell me, how should I learn?" Mu Jingchi saw that the dry goods would come immediately, and he also followed the words and asked.

"Let's start with linear algebra, mathematical analysis, probability theory, which are the basic theories of analysis, algebra, and geometry. With these foundations in place, the foundations, abstractions, and generalizations of the fundamentals are followed, including measure theory, modern algebra, topology, functional analysis, complex variable functions, mathematical statistics, constant/partial differential equations, stochastic processes, differential geometry, etc. ”

Then there's differential manifolds, algebraic geometry, stochastic dynamics, and so on. When you learn this level, you will almost have your own mathematical system, and choose a more in-depth mathematical direction according to your needs and hobbies. ”

Professor May pointed to the bookcase erected next to his office, on which were volumes of math books, most of them in foreign languages, English, French and Russian.

"This is your direction of study, and 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 six mathematical analysis workbooks from Jiminovic, but you don't really need to do too much. ”

"The purpose of the exercises is to help you revise, think and keep your brain running, and what you need to do is keep learning backwards. If you don't understand it at all, come back and do the exercises to help you figure it out. ”

"The second is to understand the mind. ”

"The essence of mathematics is not the number of problems to be done, but the mastery of ideas. Each branch of mathematics has its own main line of ideas and methodology, and different branches also have ways of thinking that can be compared and borrowed from each other. ”

"The third is roundabout learning, comparative learning. ”

"A lot of times, if you only read a book or a textbook, maybe because the author has a jump in his mind somewhere, you may not be able to keep up with it later. Therefore, one of the tricks to learning mathematics is to take several internationally renowned textbooks at the same time, compare them with each other, or read one book on the same topic after reading another. ”

"If you don't understand something, stop thinking or do exercises, and if you still don't understand, you take a step back, and move forward from the part that you can understand, and when you see more, you will find that something appears in many places, and your understanding of it will be deepened. ”

"The fourth and last point is to establish a connection with applied disciplines. ”

Speaking of this last point, Professor Mei's gaze at Mu Jingchi was full of joy, "You should understand this very well. ”

"Many basic disciplines are intertwined, mathematics, physics, chemistry, biology, etc., and materials are also interdiscursive, and you should be deeply aware of them. But the basic discipline can sometimes seem boring and boring, and you can't see what it shows because there's no concrete application. ”

"But if you can connect with applied disciplines and turn theories from basic disciplines into applications, then you will have a strong interest in mathematics, physics, and other knowledge. ”

"If you're interested, then you can dive into it. ”