my scientific age

Chapter 148 Honor!

Hua Luogeng didn't ask any further questions. In the field of study, he never doubted Yu Hua's own strength. He took a sip from the teacup and said slowly.

With the completion of the 'basic' advanced mathematics course, Yu Hua's mathematics level has already begun to contact real mathematics.

the way.

Which path to choose for research is the core problem of being a beginner in mathematics.

Standing on the edge of the cliff, below is the bottomless mathematical abyss. Monsters of high information entropy such as number theory, topology, algebraic geometry, geometry, and fractions are constantly surging, staring at the mathematics beginners standing on the edge of the cliff.

In front of these monsters, there is only one path to choose from, and once it is determined, there is no turning back, either success or obscurity.

why?
Because of the limited time, energy, talent, talent, and efficiency of information reception, people are destined to choose only one direction.

After thousands of years of continuous development of mathematics, from the initial general arithmetic stage to today's dozens of mathematical branches and dozens of mathematical research fields, it covers so much content and covers a wide range of knowledge that ordinary people spend their entire lives. , it is extremely difficult to study one of these fields and obtain results.

Even those talented and intelligent geniuses are at most making waves in the main subject area, and they cannot make achievements in both fields across number theory and algebraic geometry.

This is impossible.

The abstraction and rigor of mathematics are like an incomparably solid cage. No matter how smart the human brain is, it cannot break free from this cage.

Of course, the existence of Euler, Newton, Gauss, and Archimedes does not feel any 'mathematical restraint'.

"Professor back, the students have already been selected." Yu Hua heard this, and without hesitation, gave a direct answer.

Regarding the development path in the field of mathematics, he has already determined.

Hua Luogeng said with concern: "What is it? You should understand the importance of the future path. I hope you choose carefully and don't worry. Once the direction is determined, it cannot be changed."

The meaning of unchangeable does not mean that someone forced Yu Hua not to contact other mathematics backbones, but... time.

When he took root in the first direction and devoted himself to research for more than ten years, he found that he could not get results.

It's too late to go back now.

The golden age of mathematicians has come to an end, and in middle age, people's energy and time will further decline, unable to support high-intensity mathematical research.

"Students are going to engage in number theory research and produce some results to lay the foundation. In the future...maybe want to prove Goldbach's conjecture." Yu Hua solemnly gave the path of his own choice, paused, and slowly said that he had conceived it at the beginning. good target.

Study number theory and prove Geguai.

This is the path that Yu Hua chose after several thoughts, and it is also the path of the current optimal solution.

The end of the advanced mathematics course does not mean that Yu Hua's mathematical journey has ended. The level of mathematics level determines the upper limit of the scientific research path.

If you want to achieve your goals, the main subject mathematics must not be left behind.

As the only queen of mathematics, the status and identity of number theory has never been shaken. The brilliance and profundity of number theory illuminate the spiritual world of the entire human civilization. Engaging in mathematical research in the field of number theory can greatly improve Yu Hua's own mathematical level. This is one of the .

Second, compared to studying topology and algebraic geometry, Yu Hua has a good basic environment for number theory. Hua Luogeng is a top leader in the field of analytic number theory, and there is also a strong domestic number theory research group, which can provide Yu Hua with Good research foundation and environment.

Third, after you have sufficient research level in number theory, you can enter Gechai and obtain academic honors and scholar status through the '5+5' proof process.

Achievement and identity, this is what Yu Hua lacks.

As for the fields of topology, algebraic geometry and mathematics, there is no rush for the time being.

These fields can be read as associative knowledge, but the main direction is best in number theory.

"The field of number theory is indeed easy to produce results, but number theory is not easy to study, especially if you want to prove Goldbach's conjecture. For now, Goldbach's conjecture is still in the unprovable stage, and the progress of the mathematical community's proof of Goldbach's conjecture is Stay at '5+7', as demonstrated by Mr Lacey this year."

Hearing Yu Hua's answer, Hua Luogeng was thoughtful. He was not particularly surprised that Yu Hua was going to enter the field of number theory, but he was a little unexpected about Yu Hua's guessing. He looked at Yu Hua and said slowly, "You want to prove that I guess. , you have to compete not only with yourself, but also with all mathematicians in the world, this is a long process, you must be mentally prepared."

"Students understand." Yu Hua nodded seriously, of course he knew the difficulty of number theory and guessing.

Classified according to the information entropy value, the information entropy value in the field of number theory can be regarded as the first among the main branches of mathematics.

If nothing else, Go guessing, twin prime numbers, and Riemann conjecture are the ultimate mathematical problems that have plagued human IQ for hundreds of years in the field of number theory.

The information entropy value is explosive, and the difficulty of understanding is so high that it is almost indescribable and unthinkable.

As for why the field of pure numbers should be regarded as the main direction of personal attack, it is really helpless.

There is no way to do physics, and it is too difficult to produce results. The academic level, equipment, and environment are all lacking. How can we do physics research?
Another point, the pressure of peer competition is too big.

The physics giants of this era are almost everywhere, Schrödinger, Planck and other first-line physics giants are all alive, and the physics emperor at the top of the pyramid in the field of physics - Einstein.

When Yu Hua goes to study in the United States, he will truly step into the door of world academia and face the pressure from these physics giants.

In the case of chemistry, let alone, Yu Hua's biggest problem is the lack of equipment and environment for chemical research.

The environment of the Republic of China was not suitable for chemical research. A small chemical laboratory that cost a thousand oceans to build had basically no research conditions. It was barely possible to carry out the three gunpowder techniques, and it was impossible to carry out other chemical research.

At this stage, for Yu Hua, the best results are obtained in the field of pure numbers.

"Don't worry about engaging in number theory research. Let's talk about it when you enter Tsinghua University. There are still ten days left until the joint entrance examination in May. After the joint entrance examination, there will be a recommended examination for students. During this time, you should consolidate your studies and don't lose the chain at a critical moment." Hua Luogeng slowly instructed, like an elder, that the study of number theory is not a one-day work, can't remember, the most important thing right now is the May joint entrance examination and the recommended student examination, and he does not want Yu Hua to have problems.

"Students understand." Yu Hua nodded.

"Okay, I'll be here today. I won't be going to Tsinghua Garden next week, so I'll stay in No. [-] Middle School. Remember to write an article about scoring. Journal, Master congratulates you on your manuscript." Hua Luogeng smiled.

"It's all master's teaching well." Yu Hua felt a little happy when he heard this, and then gave him a flattery.

"Let's go and have a look. This issue of the journal is in high demand, and it's already crazy outside the school." Hua Luogeng waved his hand with a smile.

Yu Hua packed up his things, bid farewell to Master Hua Luogeng, left the study, and came to the main room. There was a thick book on the dining table. When he got closer, the title of the Tsinghua Journal was written on the surface, and next to it was basic information such as the second issue of April 1937. .

"The mechanical drawing is actually all printed, and the name was changed to Zhonghua Mechanical Drawing. It's interesting. However, this is Zhang San's business and has nothing to do with me. As a high school student, I went to the Tsinghua Journal, which feels good." Yu Hua picked up the Tsinghua Journal carefully. Looking through the catalogue, I saw the journal articles that were placed in the first place, and I affirmed in my heart that Tsinghua University did not live up to his expectations.

After a brief look at the published mechanical drawing, I no longer pay attention, but turn to the sixth article "Reconstructing the Lebesgue Integral".

The mechanical drawing compiled by Zhang San has nothing to do with him, but this mathematical paper officially published in the Tsinghua Journal is different, which can bring him real honor and fame.

After all, he is one of the authors of the article appearing in this issue of the journal under his real name and identity.

A unique high school student whose articles were included in the top academic journal Tsinghua Journal, what is this honor?
(End of this chapter)