"How is it? Do you think it's okay?" Li Xuan asked casually.

"Good poems and good poems!" Gu Wenbai nodded.

Li Xuan narrowed his eyes and looked at Gu Wenbai, wondering if this person had a problem with his head. He just wrote three deviant poems to make Gu Wenbai give up, or it could not be called poetry, but it was a poetry, which was an insult to literature.

But unexpectedly, Gu Wenbai thought that the poems written by Li Xuan were very good, and he collected them carefully, which made Li Xuan a little drunk. Who could have the level of the literary club?

A fool.

"You don't really plan to publish these three poems of mine in your literary club, are you?" Li Xuan asked with a strange expression.

Gu Wenbai nodded with confidence and affirmation: "Of course, thank you, great master."

After saying that, Gu Wenbai packed his shirt and turned around and left the competition class. When he arrived at the door, he turned around and made a farewell gesture to Li Xuan. He was wearing glasses. According to the principle, he gave people a very smart look, but Li Xuan not only didn't feel it, but instead felt it stupid.

These three poems can also be published in the literary club magazine... Li Xuan remembered the scene and his mouth twitched, and he couldn't help but tremble, and then he felt a little powerless to complain. Anyway, the literary club is not his business.

...

...

For Li Xuan, it is meaningless to teach classes now. The teacher instilled them all in class. Most of the knowledge Li Xuan had understood a long time ago, and the rest was training to do the test.

After learning the knowledge of high school competitions, I have been working on competition questions because Li Xuan's number theory and combination are relatively weak, and he has more combination number theory questions. In addition, Li Xuan formally studied the next stage of knowledge and advanced mathematics.

Linear algebra, mathematical analysis, topology and probability statistics.

Li Xuan learned some of the basic courses of advanced mathematics in his previous life and also learned the basic knowledge of these courses at Chaoyang Cup Winter Camp. Now he mainly reads books more for understanding.

These are purely Li Xuan's interests. Compared with the time spent, it will definitely not be that helpful to the competition. But now experiencing the joy of learning mathematics is of great significance to Li Xuan. Curiosity is the source of human progress. He wants to know what the context of modern mathematics is. With this interest, the motivation for learning will never be exhausted.

Let’s look back at your career in mathematics, elementary school, junior high school, high school... These are the foundations of college mathematics.

You must first learn elementary school and then learn middle school mathematics. Mathematics is like this step by step and you cannot skip the grade. You will start to learn junior high school mathematics without learning elementary school mathematics.

When you get to college, you also have the same knowledge tree in advanced mathematics.

Level 1:

Linear algebra (geometric basis), mathematical analysis (analysis basis), modern algebra (algebraic basis), probability theory.

The second layer is built on the first layer:

Topology (geometry, sets, space), functional analysis (linear algebra is the basis), complex function (analysis is the basis), etc.

The third layer is that graduate students need to study, and combine the above geometric analysis algebraic topological probabilities:

Algebraic geometry, differential manifolds, etc.

Then Wiles used the method of algebraic arithmetic geometry to prove the world's difficult problem Fermat's theorem, and just proof the paper would be hundreds of pages.

Algebraic arithmetic geometry, simply put it, is the combination of number theory, algebra and geometry, which is the most cutting-edge and profound field of mathematics at present.

If you don’t learn one layer thoroughly, the next layer is like reading a heavenly book.

Although Li Xuan can rely on the system to significantly reduce his learning time, it is still very difficult to understand it thoroughly. Now, unlike Euler's era, mathematics is still very simple. There are many branches of mathematics now, and there are very few all-round mathematicians and do not have the energy. Every mathematician will choose a field to study.

Li Xuan felt more and more profound mathematics. The context of modern mathematics was too complicated. He wanted to finish everything, understand the work of a mathematician, and began to study global problems, which made him feel like he was in a distant way.

You have to learn it yet.

Because mathematicians have almost solved all the knowledge and problems that can be solved in the textbooks, and they must learn the most.

Mathematics Teaching and Research Department.

As usual, Li Xuan went to Lin Xuerui to ask questions about advanced mathematics.

Lin Xuerui knew that Li Xuan had finished learning the basics of advanced mathematics, so he gave Li Xuan a large and thick book "Feinman Physics Lecture Notes".

Li Xuan looked at the word physics on the title of the book and was a little confused, "Coach, is this a physics book?"

Lin Xuerui smiled and said, "Coach, I am a mathematics student, but I can't read this Feinman physics lecture notes and I'm so worried about eating and sleeping."

Li Xuan was a little suspicious: "Really?"

"Of course," Lin Xuerui nodded, "Slow down your learning speed, don't be impatient, don't rush to learn too profound mathematics, and learn the basics of advanced mathematics thoroughly. Mathematics is the language of other disciplines and is closely related to other disciplines. It is best to learn physics together. Now that you have studied calculus, this book "Feinmann Physics Lecture Notes" is no difficulty for you, and can let you understand the mystery of force, heat, light and time. This is how mathematics is. Just looking at abstract mathematics may feel boring, but when applying specific physics, you will feel that mathematics is very interesting."

Li Xuan nodded, knowing that studying physics is very helpful for learning mathematics.

Mathematics and physics are inseparable. Many of them have first developed a mathematical foundation and then related physics theories come up.

For example:

Electrodynamics of the wave equation.

Probability theory quantum mechanics.

Riemann's general theory of geometry.

Field theory thermodynamic electromagnetic field.

Modal analysis of complex variable functions.

If you don’t study mathematics well, advanced physics will have obstacles to reading it, making you want to die. If you can’t learn advanced mathematics well, you will basically not understand university physics. After reading physics, you can also understand how many concepts and theorems in mathematics were born and how mathematics is applied to other disciplines.

This book Feinman physics lecture notes allows Li Xuan to explore the joy of learning mathematics and the essence of thinking about mathematics.

Lin Xuerui emphasized again: "Now you are interested, you can take a look. Your progress is very early. I allow you to read it, but the math competition test questions cannot be missed. The National High School Mathematics League is about to begin, and you have to practice questions every day."

Li Xuan nodded.

Walking out of the office, Li Xuan communicated with the system: "System, do you say you are the future high-tech, what is the future human life like?"

System: [The host's problem is not within the query scope.]

Li Xuan didn't hear the system's answer, and it felt a pity. Now he suddenly wanted to know how humans would live in the future.

Now his brain is getting more and more knowledge, and his learning speed is getting faster and he is in the stage of integration.

Because of the acceleration of learning, the development of civilized science and technology should explode like an exponential, but humans have lifespan limits, limiting the speed of science and technology development. If a great scientist dies, the next generation of scientists will have to spend decades to learn the knowledge of the previous generation, which invisibly restricts the speed of human science and technology development.

You can imagine what happened to the physics society when Einstein lived young for hundreds of years and thousands of years.

Unlocking the secret of genes, humans may live forever, and the speed of technological development will explode. If that time really happened, what would human life be like?

Is the concept more open, the society more diverse, and women's clothing more common?

Humans are immortal? Li Xuan feels that he will probably not be able to see him in his lifetime.

The more knowledge you learn, the more small you feel.
Chapter completed!