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Chapter 7 "Solution to the Quintic Equation of Algebra"

"I like it." Yu Hua sat down generously, looked at the young and mature Hua Luogeng, and without changing his expression said something that a scumbag was not qualified to say.

Like mathematics.

Mathematics is not difficult.

These are exclusive quotes from top academics and academic gods.

"Boss, serve a bowl of wontons."

Hearing Yu Hua's answer, Hua Luogeng smiled and became more interested. He first called the boss for a bowl of wontons, and then turned to Yu Hua: "I just heard that you have read my first paper, so let me ask you,

Do you understand?"

"I understand a little bit, but not too much."

Yu Hua shook his head slightly and responded.

The paper "The Reasons Why Su Jiaju's Algebra's Solution to the Quintic Equation Cannot Be Established" was published in the "Science" magazine in Shanghai in 1930. Once published, it caused a sensation in the national mathematics community. Hua Luogeng, who was only twenty years old, became famous in the domestic mathematics community. In the same year, Hua Luogeng received

Invited by Xiong Qingzhi, dean of the Department of Mathematics at Tsinghua University, he joined the Tsinghua University Library as a librarian.

The entire paper mainly involves one content, which is to refute the "Solution of Algebraic Fifth Equation" proposed by Su Jiaju and support the theoretical proof of Abel and Galois - generally there is no radical solution to the fifth equation of one variable.

In the field of algebra, solving linear equations, quadratic equations, cubic equations, and quartic equations of one variable through radicals is the tireless goal of mathematicians engaged in algebra research. After generations of mathematics such as Tartaglia and Cardano,

The scientists worked tirelessly and finally solved the fourth-dimensional equation of one variable.

Then, mathematicians turned their attention to solving the root equation of the fifth degree. However, from the time when the problem was raised in the 16th century to the early 19th century, the solution to the radical form of the quintic equation had troubled the mathematical community for three hundred years.

Got the solution.

Later, the mathematician Niels Henrik Abel went against the grain and believed that the quintic equation and above algebraic equations did not have general radical solutions, and successfully proved it, which shocked the world. Just when people could not believe it,

The genius mathematician Gavarro also proved this theory, bringing an end to the problem of solving the roots of the fifth equation of one variable.

However, despite the iron-clad reality, some people still try to overturn this theory and find the radical solution to the quintic equation of one variable. This is the case for teacher Su Jiaju. In 1926, the Shanghai Stock Exchange "Xueyi" published "Solutions to the Quintic Equation of Algebra"

, 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 error. However, "Xueyi" magazine only published a brief correction statement in May 1929, acknowledging that "

Su Wen' made a mistake, he didn't apologize, he just brushed it off.

The young and energetic Hua Luogeng could not stand this attitude. With a wave of his hand, he wrote an article and sent it to the magazine "Science", pointing out the errors by name. This made Su Jiaju disgraced, caused a sensation in the country, and was finally invited to Tsinghua University.

Those who can work as librarians in Tsinghua University are not ordinary people.

My predecessor, Yu Hua, happened to like Hua Luogeng’s article very much.

"I have read a little bit. Please tell me, where is Su Wen's fallacy?" Hua Luogeng became more interested. With a smile on his face, he ate a wonton and set out a test question.

"Hua Zeng studied Mr.'s theory and knew that its fallacy lies in P3. (Ⅰ) cannot be equal to (Ⅱ). I want to find the undetermined coefficients a1,..., a24, a total of four categories: 1, a1a3=A1, a2a4=A2, a3a2

+a1a7=A5, a4a1+a2a7=A8. Two, a13a17=A3, a14a18=A4...a2a6+a14a23=A15." Yu Hua said respectfully, telling what he knew one by one, his words were calm and clear.

The biggest flaw in Su Wen's solution lies in the analysis of P3 in the full text.

This is extremely fatal, but non-senior scholars cannot see the problem. Even at the beginning of reading, Hua Luogeng thought that the fifth-order equation established by Abel and Gavarro had no radical solution. This mountain was overturned. However, after careful study,

But found the error.

Hearing what Yu Hua said, Hua Luogeng was a little surprised. He did not expect that the student in front of him could give a complete explanation of the fallacy. He nodded affirmatively, but did not continue to ask questions. He praised: "Not bad, Dashan, you are from Peking No. 4 Middle School."

What categories of students are there?”

It is not easy for ordinary students to understand the comprehensive contents of arithmetic textbooks, let alone study the algebraic analysis of quintic equations of one variable. Hua Luogeng published the first paper when he was young. This requires a professional scholar with a certain high level of mathematics to understand.

content.

High school students cannot read it.

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

This is a mathematical seedling.

"Mr. Hui, I am studying in the second category of Peking No. 4 Middle School. It is the end of the third school year. I came here to find you for no other reason than to witness your grace." Yu Hua was still respectful and sincere, and he always mentioned "Mr." in his words.

, at this time, the owner of the wonton stall brought a bowl of wontons over, thanked him, took it with both hands and put it on the table.

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

In this era, whether you are a primary school teacher, a middle school teacher, or a university lecturer, you are all called a teacher.

Hua Luogeng was very happy to see Yu Hua being so polite and courteous: "It's the end of the third academic year, so I will graduate this year. What is your attitude towards the student movement and party spirit?"

"Mr. Hui, Hua doesn't like these. Every time he sees such books, he gets a headache." Yu Hua shook his head. He didn't care about changes in the political situation or political parties, he just wanted to do science quietly.

As soon as this sentence came out, it immediately touched Hua Luogeng's heart. As a student, you should focus on learning and serve the country with your studies. Looking at Yu Hua in front of him, he became more and more satisfied: "Yu Hua, I see that your conversation is extraordinary, and you are good at mathematics."

You are very talented, but have you thought about which school to go to?"

"Mr. Hui, Hua hasn't thought about it yet. I just study on weekdays and haven't thought about which school to go to." Yu Hua answered truthfully, with a look of confusion on his face.

Hua Luogeng smiled and said, "What do you think of Tsinghua University in my country?"

It was rare to find a good seedling with some talent, and Hua Luogeng could not help but feel the desire to recruit apprentices and teach.

There were many great masters in the Republic of China, there were countless good articles in newspapers, and countless students were proud to write articles in newspapers. However, Hua Luogeng was deeply worried about this. There were too many masters who could use pens, and too few scholars who knew mathematics and natural sciences.

.

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

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

If you want to create high-quality firearms, develop aircraft and cannons with advanced performance, or move toward the future, you cannot rely on a pen that breaks when you break it. You can only rely on scientific methods based on mathematics.

However, there are less than a thousand knowledgeable people in the domestic mathematics community, less than a hundred people occupying a position, and only a handful of people are famous throughout the country. Students do not like seemingly meaningless and abstract mathematics.

Without students to add fresh blood, how can domestic mathematics develop?

In Hua Luogeng's opinion, today's prosperous domestic education and cultural fields can be described in one sentence -
Chapter completed!
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