Speaking of Gauss, Kong Jidao didn't like it very much. He glanced at him and said, "Gauss has a mathematician who is in his veil, saying that this person is so annoying. Every time he proves a theorem, he will walk through the forest like the old fox and use his big tail to clean the traces behind it. You can see that he proves so beautifully, but he will never tell you his ideas! This is very bad. His ideas will inspire others a lot, but instead prove the steps, which are much less useful."

"The other is that Gauss has never done anything to support his youth, which is not conducive to other people's growth. When others want to ask him for advice, he either ignores it or is cold. Abel sent his results to Gauss and asked Gauss to throw them away. Gauss did not forget to send a copy of what Gauss wrote before his death. Gauss probably didn't read it either. Boeryo's results in studying non-European geometry and wanted to get his support, he said that he had studied it a long time ago, and Boeryo was discouraged."

"Abel and Galova, two tragic mathematicians, are both founders of group theory, and have made similar contributions and experiences. They can only be said to be jealous of talented people. Let's talk about these two people in detail later, because the group theory they created is crucial to the solution of Fermat's theorem."

"By the way, Gauss is a man who is too arrogant and most disdainful to other mathematicians. The only exception is because of the Fermat's theorem. The younger generation whom he promoted and affirmed was a woman, a French girl named German. Haha, don't think Gauss so badly, and his attitude changes when he meets a beautiful woman."

"German was not interested in mathematics. What changed her life happened one day when she was reading casually in her father's library. She accidentally flipped through the chapter about Archimedes' life written in History of Mathematics and triggered her fantasy. His description of Archimedes' various discoveries was undoubtedly interesting. But what fascinated German was the plot surrounding Archimedes' death."

"Adhimed lived in Syracuse and studied mathematics in a relatively calm environment, but when he was nearly 80 years old, peace was destroyed by the invasion of the Roman army. The legend says that when the Roman army invaded, Archimedes was so focused on studying a geometric figure in the sand that he neglected to answer a question from a Roman soldier. He was stabbed to death by a spear."

"German came to the conclusion that if a person was so obsessed with a geometric problem that would result in his death, then mathematics must be the most fascinating subject in the world. She immediately began to learn the basics of math theory and calculus, and soon worked late into the night to study the works of Euler and Newton. Her sudden interest in such a subject that was not suitable for women worried her parents."

"Her father confiscated her candles and clothes. He moved away anything that could keep warm to prevent her from continuing to study. German's way of dealing with it was to use hidden candles and wrap herself in bed sheets. The winter night was so cold that the ink frozen in the ink bottle, but German insisted on watching it desperately. She was extremely determined, and eventually her parents were sympathetic and agreed to her continue to study."

Kong Jidao said here. Looking around, more and more students listening around, he scolded: "Compared with German, look at your children, the classroom and dormitory are full of heating, spacious and bright. How do you study? If I still give this semester exam paper, it will definitely be more difficult than last time. It is shameful to just deal with the exam. It is a waste of intelligence and resources."

After speaking, Kong Jidao was very angry. "We in China have Olympiad medal winners every year, but no one can achieve outstanding achievements like Tao Zhexuan or Perelman, and some people are even away from mathematics."

"In China, many middle schools and middle school students regard Mathematical Olympiad as a shortcut to entering university and devote a lot of time to training. If participating in Mathematical Olympiad is just to enter a good university, this goal is too short-short. Many parents hope that their children will become successful and push their children too fast. Learning from elementary school has wasted too much interest and spirit of exploration."

"The environment required for mathematical research and mathematics is different from that required for Olympiad. Mathematical research is like a sprint race under predictable conditions, while mathematical research is a marathon under unpredictable conditions in real life. It requires more patience and the willingness to first study small problems before solving big problems."

"In 1972, Klein wrote a famous book on the history of mathematics called "Ancient and Modern Mathematical Thoughts". He actually said this in the preface, saying that in order not to make the material of this book aimlessly extravagant, we automatically ignore the mathematics of some ethnic groups. Which ethnic groups? For example, Huaxia! He said that our mathematics has no contribution to the mainstream thoughts of human beings in the world."

Unexpectedly, Teacher Kong was so cynical. Liu Meng persuaded: "Teacher Kong, this was not formed overnight. It is not easy to change the overall environment. We can only be ourselves first. Let's tell us the story of German and Gauss first. It is said that German has not married in his life. I wonder if it has anything to do with Gauss?"

Liu Meng had a feeling that Teacher Kong seemed to be sharper and less peaceful than before.

Kong Jidao vented all the time before he calmed down. After hearing what Liu Meng said, he teased: "You kid can really gossip. German once said a famous saying, "Don't think I'm not married. I'm engaged long ago. I've married the truth! This is a pursuit, this is a state of life."

Liu Meng looked at the expression on Kong Jidao's face and felt a strange feeling. Why did Teacher Kong say that he was talking about himself? Who said that he was not married and had already married Mathematics?

Kong Jidao was a little scared by Liu Meng's eyes and continued: "The real difficulty of Fermat's Theorem is that no matter how many numbers you solve, it is useless to solve them. Because there is a devil in mathematics called infinite, which means that no matter how many numbers you prove, what if you add 1? Is that number still valid? In recent history of mathematics, such a thing happened. When a large and large number suddenly proves that a formula is not valid, so the entire formula is overturned. Such a thing is not uncommon in the history of mathematics. So if Fermat's Theorem continues to prove one by one, which will it end on a day?"

"In 1794, the School of Integrated Engineering was born in Paris. It was established as an excellent school for the country to train mathematicians and scientists. It could have been the ideal place for German to develop her mathematical talent, but it was a college that only accepted men. Her natural shyness made her afraid to go to the school's management, so she pretended to be a male student in the school, LeBron, and sneaked in the school."

"The school administration did not know that the real Mr. LeBron had left Paris, so he continued to print lecture materials and exercises for him. German managed to obtain the materials originally given to LeBron and gave answers to her exercises every week under her new alias. Everything went smoothly as planned until two months later, the instructor of the course, the famous Lagrangian, could no longer ignore the talent shown in LeBron's exercises."

"LeBron's solution is not only ingenious, but it shows profound changes in a student who was previously known for his terrible mathematical abilities. Lagrangie was one of the best mathematicians of the 19th century, and he asked the changed student to come to see him, so German was forced to reveal her true identity. Lagrangie was shocked and he was happy to meet the young female student and become her mentor and friend. German finally had a teacher who could inspire her to show her talents and ambitions honestly to him."

"Germann became more and more confident, and she changed from answering exercises in class assignments to studying unexplored fields in mathematics. What was particularly important was that she became interested in number theory, which made her inevitably know the Fermat's theorem. She studied this problem for several years and finally reached the stage when she had made an important breakthrough in confidence. She needed to discuss her ideas with a male mathematician and decided to directly find the best mathematician to discuss it. So she went to ask Gauss, the most outstanding number theorist in the world at that time.

"Germann adopted a new strategy, and she described the so-called general approach to this problem to Gauss. In other words, her direct goal was not to prove a special case, but to come up with solutions that suit many cases at once. It was to find a unified solution, and once proved, all numbers could prove it, and all Germann actually proposed a new idea to prove the Fermat's theorem."

"When German wrote to Gauss, she was still in her 20s. Although she had become famous in Paris, she was still afraid that this big man would not take her seriously because of her gender. In order to protect herself, German once again used her pseudonym, which was signed as LeBron. Gauss did not know the true identity of his correspondent. He tried to comfort German and replied: I am very happy that arithmetic has found a talented friend like you."

"If it weren't for Emperor Napoleon, German's contribution might have been wrongly attributed to the mysterious LeBron forever. In 1806, Napoleon invaded Prussia, and the French teams attacked the German cities one by one. German was worried that the fate that fell on Archimedes would take the life of another object of worship, Gauss, so she wrote a letter to her friend General Joseph, who was in charge of commanding the advancement of the army."

"She asked him to ensure Gauss' safety, and the general gave special care to the German mathematician and explained to him that Miss German saved his life. Gauss was very grateful and surprised because he had never heard of Sophie German." (To be continued...)

ps: Gauss is indeed a genius, and geniuses always have tempers.
Chapter completed!