my scientific age

Chapter 8 "Solution to the Quintic Equation of Algebra"

"I like it." Yu Hua sat down generously, looked at the young and mature Hua Luogeng, and said something that a scumbag was not qualified to say.

Like math.

Math is not difficult.

This is the exclusive quotation of scholars and scholars.

"Boss, have a bowl of wontons."

Hearing Yu Hua's answer, Hua Luogeng smiled and became more interested. He first shouted a bowl of wontons to the boss, and then turned to Yu Hua: "I just heard that you read my first paper, then I ask you, Can you read it?"

"I read a little, but I didn't understand much."

Yu Hua shook his head slightly and responded.

The paper "Reasons for the Inability to Solve the Algebraic Quintic Equation by Su Jiaju" was published in the Shanghai "Science" magazine in 1930. Once it was published, it caused a sensation in the national mathematics circle. Hua Luogeng, who was only 20 years old, was well-known in the domestic mathematics circle. In the same year, Hua Luogeng was accepted by Tsinghua University At the invitation of Xiong Qingzhi, the dean of the Department of Mathematics of the university, he entered the library of Tsinghua University as a librarian.

The whole paper mainly involves one content, refuting the "Solution of Algebraic Quintic Equations" proposed by Su Jiaju, and supporting the theoretical proof of Abel and Galois that there is no radical solution for general unary quintic equations.

In the field of algebra, solving linear equations, quadratic equations, cubic equations, and quadratic equations in one variable through radical formulas is the tireless goal of mathematicians engaged in algebra research. After Tatalia, Cardano and other generations of mathematics The scholars made unremitting efforts and finally completed the solution of the quadratic equation in one variable.

Afterwards, mathematicians turned their attention to solving the quintic radical of one yuan. However, from the time when the problem was raised in the 300th century to the early [-]th century, the solution of the quintic radical has troubled the mathematical community for [-] years. untie.

Later, the mathematician Niels Henrik Abel did the opposite, arguing that the quintic and above algebraic equations had no general form of radical solution, and successfully proved that, shocking the world, just when people couldn't believe it, The genius mathematician Gavaro also proved this theory, putting an end to the problem of solving the root formula of the quintic equation in one variable.

However, despite the iron-like reality, some people still try to overthrow this theory and find the root solution of the quintic equation in one variable. This is the case with the teacher Su Jiaju, who published "The Solution to the Quintic Equation in Algebra" in 1926 in the Shanghai Stock Exchange "Xueyi" , which caused an uproar in the country, and Su Jiaju became famous.

Hua Luogeng, who was extremely talented in mathematics, read this 'Su Wen' and immediately wrote to "Xueyi" to point out the errors, but "Xueyi" magazine only published a brief correction statement in May 1929, acknowledging that ' Su Wen' made a mistake, without apologizing, and lightly exposed it.

The young and vigorous Hua Luogeng could stand this attitude. With a big wave of his hand, he wrote a manuscript and sent it to Science magazine, pointing out the mistakes by name, which made Su Jiaju disgraced and caused a sensation in the country. He was finally invited to Tsinghua University.

People who can be librarians at Tsinghua University are not ordinary people.

And the predecessor Yu Hua happened to like Hua Luogeng's article very much.

"I understand a little bit, tell me, what is the point of Su Wen's fallacy?" Hua Luogeng became more interested, smiled, ate a wonton, and took the test.

“桦曾研读先生之论，知其谬误在P3，（Ⅰ）不能等于（Ⅱ）也，夫求未定系数a1，……，a24，共计四类：一，a1a3=A1，a2a4=A2，a3a2+a1a7=A5，a4a1+a2a7=A8。二，a13a17=A3，a14a18=A4……a2a6+a14a23=A15。”余华尊敬道，将自己知道的地方逐一说出，言辞平和，条理清晰。

The biggest loophole of Su Wenzhi's solution lies in the full text analysis of P3.

This is extremely fatal, but non-senior scholars cannot see the problem. Even at the beginning of Hua Luogeng's reading, he believed that the quintic equation established by Abel and Gavaro had no radical solution and was overthrown. However, after careful study, But found the error.

Hearing what Yu Hua said, Hua Luogeng was a little surprised. He didn't expect the student in front of him to be able to give a complete description of the error. He nodded affirmatively, but did not continue to ask questions, and praised: "Not bad, Dashan, you are Peking No. [-] Middle School. How many classes of students?"

It is not easy for ordinary students to understand the comprehensive content of arithmetic textbooks, not to mention the algebraic analysis of quintic equations in one variable. Hua Luogeng published the first paper when he was young. the content.

High school students can't read.

Not only did Yu Hua understand it, but he could even retell it clearly, which reflected his mathematical talent and memory.

This is a mathematical seedling.

"Mr. Hui, I am studying in the second-class class of Peiping No. [-] Middle School. It is the end of the third school year. This time I came to find Mr., not for other reasons, but just to witness the demeanor of Mr. Yu." Yu Hua is still respectful, with a sincere attitude, and must bring Mr. , At this time, the owner of the wonton stall brought a bowl of wontons over, thanked him, and took it with both hands and placed it on the table.

Sir, the master is the first, and the teacher is the original intention.

In this era, whether it is a primary school teacher, a middle school teacher, or a university lecturer, they are all teachers.

Hua Luogeng was very happy when he saw Yu Hua being so polite and disciplined: "It's the end of the third school year. If you say that, you will graduate this year. What is your attitude towards the student movement and the party's righteousness?"

"Mr. Hui, Hua doesn't like these things. Every time I read books like this, I get a headache." Yu Hua shook his head. He didn't care about any changes in the pattern or party, he just wanted to do science quietly.

As soon as this sentence came out, it immediately spoke to Hua Luogeng's heart. As a student, he should focus on his studies and serve the country with his studies. Looking at Yu Hua in front of him, he became more and more satisfied: "Yu Hua, I think that you speak well, and you are a mathematician. You are very talented, but which school do you want to get into?"

"Mr. Hui, Hua hasn't made up his mind yet. He only reads books on weekdays, and has never thought about which school to get into." Yu Hua answered truthfully, with a look of confusion on his face.

Hua Luogeng smiled and said, "What do you think of the National Tsinghua University where I am?"

It was rare to find a good seedling with some talent, and Hua Luogeng couldn't help but feel a sense of accepting apprentices and teaching.

There are many great masters in the Republic of China, there are countless good articles on the newspapers, and countless students are proud of writing articles in the newspapers. However, Hua Luogeng is deeply worried about this. There are too many masters who can play a pen, and too few scholars who can understand mathematics and natural science. .

No matter how sharp the pen is, it will never be able to compete with the Japanese gun.

No matter how sharp the words are, they can never be compared to other people's aircraft cannons.

If you want to create high-quality firearms, want to develop advanced aircraft cannons, and want to move into the future, it is not enough to rely on a pen that breaks when you break it. You can only rely on the scientific method based on mathematics.

However, there are fewer than [-] scholars in the domestic mathematics community, fewer than [-] people occupy a place, and only a handful of people are famous in the country. Students do not like mathematics that seems to be meaningless and abstract and obscure.

Without students to add fresh blood, what is the development of domestic mathematics?
Today's prosperous domestic education and cultural fields, in Hua Luogeng's view, can be described in one sentence -

The forest of literature, the desert of science.

(End of this chapter)