Vol 2 Chapter 1280: integral

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The core work of the Bulbaki School is the "Principles of Mathematics" that has been constantly updated and seems to be able to survive a generation.
Unfortunately, Russell also wrote a book called "Principles of Mathematics". These two different books are often confused. But in fact, this is the pot of translation-the Chinese translation of the two books is exactly the same. In addition to the original English and French, the two books are more different. Russell's "Principles of Mathematics" is very honestly named Principia Mathematica-literal translation is "the basic principles of mathematics." And the "Mathematical Principles" of the Burbaki school, literally written "basic elements of mathematics."
This name is a tribute to Euclid's "Geometry Original"-literal translation is "the basic element of geometry."
"Original Geometry" is the foundation of ancient European mathematics and present mathematics, the origin of geometry, and is hailed as "the most successful textbook in the world."
The Bulbaki school chose this name, and its mind is naturally self-evident.
The name of Wang Qi's "Original Calculation" also follows this line of thought.
Original calculation, to explore the basis of calculation, so that people know the foundation of mathematics.
"Next, let me talk about the plan. First of all, we should first clarify a direction." Wang Qidao said: "In what order should our original calculation be made? Because our final plan is a set of all Knowing arithmetic, so the first part is the most important ... "
Su Junyu interrupted: "Since you said that, you must have a plan. Just say it directly, we don't think it's appropriate."
Wang Qi nodded and pulled a book from his sleeve: "This is it. You have a good look."
Zhao Qingtan's face changed. He was in Nanming with Wang Qi, and he heard Chen Youjia mention it in a small discussion over there. Wang Qi was writing a book. He whispered: "Wang Qi, didn't you plan to take it out early next year? Finished writing now?"
"This kind of summative thing is the program of the future. There is only a summary of past achievements and immature ideas. As long as the ideas come, it will naturally be written quickly." Wang Qi responded calmly.
"Hmm ..." Pure Mathematics "? Poof." Su Junyu couldn't help laughing. This name really has Wang Qi's consistent madness style.
Read the book again. At the beginning of this manuscript, I divided the mathematics into four categories: "A, B, B, D". Among them, Class A is called by Wang Qi as "the most active ten branches of arithmetic", namely algebraic topology and differential topology, differential equations, traversal theory, partial differential equations, non-commutative harmonic analysis, automorphic forms and modules Form, analytic geometry, algebraic geometry, number theory. These are the top-level existence of mathematics. Below category A is category B. This category is referred to by Wang Qi as "developed and mature, and the relationship with other branches is not as close as before". This category includes homology algebra, Li Qun, abstract transposition and analysis, Feng algebra, mathematical logic. Category C is more basic, including: categories and variants, commutative algebra, and operator spectrum theory.
The three categories of A, B and C contain a total of 20 disciplines, which is the mainstream of the Ten Thousand Fa School.
The D category is the foundation of all disciplines in the first three categories.
There are six branches in category D: set theory, general algebra, general topology, analysis, topological vector space, and integration.
This arrangement is quite interesting. It includes not only the areas where Wang Qi is best at, but also areas that he has never been involved in before. In the field of arithmetic logic that he is most famous for, he is only classified as Category B. The "number theory" that was once regarded as the basis of the study of mathematics can only be considered as the first category here-the most popular, but not basic.
This is completely different from the original concept of ancient mathematicians-the study of numbers and the study of graphics are two major parts of mathematics. However, this is one of the signs of the development of mathematics. More and more people have realized that arithmetic is not as intuitive and simple as they think. They also have some views on arithmetic.
However, like Wang Qi's "Pure Mathematics", from a clear conditioning and logic, there is very little to explain this relationship. What is even more rare is that Wang Qi did not deliberately ignore Lianzong's achievements because he was alienated.
This is the place where the fortune-teller has not escaped vulgarity. The fortuneteller is the leader of Lizong, and when his programmatic question Ximen asked 23 times, he deliberately ignored Lianzong's achievements.
This guy has great ambitions.
Although when listening to Wang Qi's elaboration of "structure" six months ago, everyone knew that he already had his own opinion on arithmetic, but today, this gave them another feeling.
Only Wei Cang smiled bitterly: "This kind of offending person, Wang Qi, can you write less in the future ... This is still a disguise of raising yourself?"
Wang Qi ’s previous statement about the
classification of arithmetic problems
has already caused some disturbances in Wanfamen. That speech undoubtedly irritated some mathematicians.
Why do the problems you study are considered to be "generating methods" and "generating general theories", and what we are studying is "trivial problems"?
Although these scholars have little say, they have some negative effects on Wang Qi ’s reputation.
Because of the Shenjing incident, Wang Qi is now suffering some setbacks. That part of the people jumped out, it was annoying.
Wang Qi shook his head: "If you go this way, don't be afraid of offending people. What we have to do is to change the whole mathematics, and we must offend people. Next, I will talk about our tasks this year and next year. I The plan is like this. The homology, homotopy, layer theory, etc. I studied with you before, and the pan-variant sky belong to the three fields of algebra, topology, and analysis. This is currently our focus. And some of them also involve 'points.' "
"In a short period of time, the predecessors of the Gotting School will continue to study. After losing the arithmetic logic, their focus should be inclined to algebra. Because ... Because of my relationship, will they study Set theory is hard to say, but my teacher, Feng Luoyi, and the Turing real person of Qianji Pavilion, due to the development of calculators, the research focus will always be on mathematical logic and set theory. These In the field, we must avoid competing with them. They are all accumulated pastimes and must not be underestimated. If we fail in the competition, our hard work may be lost. "
"So, I think that the" original calculation "we should first compile should include" general topology "," topological vector space "and" integration theory. "
The three volumes reported by Wang Qi are the second, fifth, and sixth of the first six volumes of the first part of Mathematics.
Everyone was silent.
Someone reminded: "Brother, that ... well, you said that we can't compete with Ge Ting Pai and other predecessors, but ... this ... you want us to compete with Shujun?"
The guy who counts seems to be more terrifying than the song court without the owner. The leader of the last generation's Geting faction was even abolished by him in the dispute!
"Bajun, the content of the Tao of Comparability has been revised recently, and there have been subtle changes to the elaboration of gravity. Bajun is very interested in this and intends to revise his calculation of the operation of celestial bodies based on this theory-in the end, The algebraic topology we mainly studied was just created by him to solve the ternary problem. He is probably still thinking about chaos arithmetic now ... I think, the multivariate autonomous movement can temporarily satisfy him. "
Moreover, it doesn't matter much even if Jun studies this aspect. Both Lizong and Lianzong studied mathematics, but at different angles. Even if they and Shujun have achieved the same results, most of them are expressed in completely different forms. At that time, just to prove that these two achievements are equivalent, we can open another subject. In the eyes of others, this school of school is indeed working.
Of course, this point of careful thinking is not enough for outsiders.
"Then, just for this, so we can take a little time and engage in points. Points are also very important."
In the end, Wang Qi bowed his head: "I'm sorry, all of you brothers and sisters, brothers and sisters, you are in the same way, because I am interested in myself, I just do it ..."
"Hey, tell me what to do."
"Yeah. Which of our schools does not set the research direction because of the leader's willfulness?"
"That's it!"
Everyone's enthusiasm is still very high.
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After nightfall, the crowd left quickly. It's just that they didn't go back to sleep. Monks didn't need much sleep, and now they are in extreme excitement. How can they sleep?
Go back now and pick the lights to fight at night!
Wang Qi has pointed out the bright future, how can we rest!
After the crowds walked away, Wang Qi turned over some of the spirit tea in his home, made a pot, and then handed it to Su Junyu on the opposite side, saying, "Brother Su, what's the problem?"
Su Junyu stared at Wang Qi and asked, "Your boy, honestly tell me, how are you going to bite back?"
"Bite it back?"
"If a dog bites you, you will definitely bite back." Su Junyu said: "Although I can guess, you plan to use ... statistics or probability, but how do you plan to bite? I still Very curious. "
Wang Qi sucked his tongue: "It was actually seen."
"'I'm sorry, you brothers and sisters, brothers and sisters, you are the same, because I am interested in me, I just do this ...'" Su Junyu scoffed: "You guys, the usual tone should not be 'Labor is to do big things Yes, just keep up if you're brave enough. "
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