Chapter 223: Look at Fermat's Last Theorem before committing suicide
The students were so fascinated by listening, and Teacher Kong spoke passionately.
"The game is over. In the next letter Germann gave to Gauss, she reluctantly revealed her true identity. Gauss was not angry at all because of being deceived. He happily wrote her a reply, and highly praised Germann's contribution to mathematics."
Such a woman has to be respected. She never gives up on the hardships she has endured in order to learn mathematics. Kong Jidao said with emotion: "When a woman who, from a secular and prejudiced perspective, will definitely encounter many more difficulties than men to understand these difficult studies, finally succeeds in overcoming obstacles and seeing the most puzzling part of it, then there is no doubt that she must have the highest courage, extraordinary intelligence and outstanding creativity."
"It was precisely because of German's initiative that in 1825, the work of two mathematicians Dilicre and Lejende, who were one generation apart, that German's method was the first perfect success. Lejende was an old man in his 70s and experienced the political turmoil of the French Revolution. By the time he made achievements on the Grand Theorem of Fermat, he was already in poverty."
"On the other hand, Dirichlet is a young number theorist with ambition and just 20 years old. They independently proved that there is no solution to the situation of power of five, but their proof was done on the basis of German, and their success was attributed to German. Fourteen years later, the French made another breakthrough work. Lame made some further and clever additions to German's approach and proved the situation of power of seven."
"After German's idea was proposed, the Fermat's theorem made significant progress one after another. At that time, the entire French mathematical community was excited again because everyone felt that the light of the day was ahead. The Fermat's theorem could be solved immediately. So at that time, the French Academy of Sciences allocated a large prize of 3,000 francs and gold medals, saying that since the breakthrough was already in sight, we would give some ruthlessness and a big temptation. As the saying goes, the eyes are black and the silver is white!"
"Now, in addition to enjoying the reputation of proving the Fermat's theorem, this challenge also has a huge bonus. So at that time, many people in the French mathematics community devoted their energy to the Fermat's theorem. Two of them were the best, one was Cosi and the other was Lame. These two people worked separately, but they both wrote their research results on paper and sealed them in an envelope. They sent them to the French Academy of Sciences."
"The incident originated from a mathematical salon in Paris. On March 1, 1847, the Academy held a dramatic meeting. The Academy's briefing described how Rame came to the podium, facing the most outstanding mathematicians of the era who announced that he had almost proved the Fermat's theorem. He admitted that his proof was incomplete, but he briefly described his method and confidently predicted that a few weeks later he would publish a complete proof in the journal of the Academy."
"The audience was stunned. But as soon as Rame left the podium, another best mathematician in Paris, Cauchy asked for permission to speak. Cauchy announced to the Academy of Sciences that he had been conducting research in a similar way as Rame, and that he was about to publish a complete proof."
"Both Cauchy and Rame realize that time is crucial. Whoever can hand over a complete proof first will receive the most authoritative and generous prize in mathematics. Although no one of them has a complete proof, both competitors are eager to set up stakes to indicate ownership. So after only three weeks they each declared that they had sealed envelopes in the Academy of Sciences."
"This is a common practice at the time, which allows mathematicians' thoughts to be recorded without revealing the exact details of their research. If later disputes arise about the source of the idea, the sealed envelope will provide the necessary evidence for judging who has the idea first."
"Through April, as Cauchy and Rame published their sultry but vague proof details in the Academy of Sciences bulletin, people's expectations became increasingly urgent. Although the entire mathematical community wanted to see the completed proof, many of them secretly hoped that Rame, not Cauchy, won the competition."
"According to various circulating sayings, Cauchy was a self-righteous man, an avid believer, especially unpopular with his colleagues. It was only because of his outstanding talents that he could stay in the Academy of Sciences. In addition to Gauss, two short-lived mathematics geniuses in the 19th century, Abel and Galois, both fell into Cauchy's hands. This man's contribution to mathematics is far less than that of an obstacle to mathematics."
Kong Jidao said this, his anger was uncontrollable. Liu Meng noticed that when he talked about Abel and Galois, Teacher Kong seemed to be very angry. This was the case when he talked about Gauss before, and now when talking about Cauchy, both of them turned a blind eye to Abel and Galois's talents.
"Then, on May 24, someone read a statement, ending all speculations. It was neither Cauchy nor Lame, but Liu Weir made a conversation at the Academy of Sciences. Liu Weir read out the contents of a letter from German mathematician Kummer, shocking the audience."
"Cumer was the most advanced number theorist, but over many years of his life, the intense patriotism that arose from his hatred of Napoleon led him to deviate from his true career. When Cuumer was a child, the French team invaded his hometown of Solau, causing them the epidemic of typhus."
"Cumer's father was a doctor in the town, and he died of this disease a few weeks later. This experience caused great spiritual trauma to Cummer. He vowed to do his best to protect his country from another blow. As soon as he finished college, he immediately used his knowledge to study the ballistic curve of the shells."
"End, he taught ballistics at the Berlin Military Academy. While working in his military profession, Cummer actively conducted pure mathematics research. He knew a series of events that occurred in the French Academy of Sciences. He read the Academy's bulletin from beginning to end and analyzed a few details that Cauchy and Lame dared to reveal. For Cummer, it was very clear that the two Frenchmen were heading towards the same logical dead end, and he briefly described his reasons in this letter to Liu Weir."
"Cumer said something and proved that you both were wrong. And Cuumer took a step forward. He proved accurately that with the mathematical tools at that time, humans could not prove the Fermat's Theorem at all. This was also a progress in mathematics, but for Fermat's Theorem, it was an unprecedented dark moment, because the dawn that had just lit up was extinguished."
"Time flies, and decades have passed. The problems that the French cannot solve are now the Germans' turn to promote. In the early 20th century, there was a German entrepreneur named Folfsk. When he was young, he was particularly passionate. He fell in love with a girl and confessed to him. But the girl ruthlessly rejected him. Folfsk couldn't stand it anymore. He actually wanted to commit suicide and put his gun here, saying that I would shoot myself at 12:00 tonight. Before I die, I would do some work and write a will."
"As a result, the Germans were very efficient in their work. As a result, they finished all the wills and arrangements behind them early. They had nothing to do. There was still a few hours before 12 o'clock, so they just grabbed a book by their side. What was this book? It was the book that Kossi and Lame solved the idea of Fermat's Grand Theorem half a century ago. As a result, they were interesting, and they became fascinated as they looked at it. As they looked at it, they missed the time at 12 o'clock in the middle."
Speaking of this, the students laughed. After listening to this long paragraph, I really think that the Fermat's theorem caused too many things, it's so fun. There are so many crazy things in mathematicians, and they don't think the look at Kong Jidao was strange.
Kong Jidao turned a blind eye and talked to himself.
"When he discovered this, Folfsk didn't want to die again. Because this problem is very interesting and I haven't solved it yet, so I forgot the girl and started to solve this problem from now on. Of course, he is an amateur, not as famous as Fermat's amateur mathematician as we mentioned earlier, so of course he did not help solving this problem."
"But he was grateful for the life-saving grace given to him by Fermat's Grand Theorem, so when he died in 1908, Ferfsk established a fund for all his life's assets of 100,000 marks. Within a hundred years after his death, whoever proves Fermat's Grand Theorem will be the money."
"So at the beginning of the 20th century, another craze arose in the mathematical community around the world to solve the Fermat's theorem, and since then, it has made the Fermat's theorem the most famous problem in the history of mathematics, because there is money behind it. So many people around the world wrote letters to this committee at that time, and I solved it! I solved it!"
"So at that time, math amateurs and some people around the world tried to solve this problem, but unfortunately, although this problem is becoming more and more famous, it seems that it is still far away from its solution."
"Because there are so many people who have sent letters that the professor who chaired the entire committee had to print a special postcard later, saying that the paper you sent was wrong on a certain page and a certain line, so your proof was wrong, so you take it back, the bonus has nothing to do with you. It is said that this kind of postcard is three meters high, just as high as a floor."
The students who listened were really anxious and shouted, "How did the Fermat's theorem solve? Who solved it? What method was used? Even Gauss and Euler couldn't handle it, so who else could succeed?"
Kong Jidao smiled and kept it a secret, saying: "The solution to Fermat's theorem is actually not far away. In 1995, the person who solved it was neither French nor German, but a British man living in the United States. His name is Wiles." (To be continued...)
ps: Perhaps only Germans can do such a thing.
Chapter completed!