Forty-seven, so terrifying!
Jiang Shuiyuan was shocked by Wu Zichen's horse fork worm operation! This left hand held the fat water and did not flow into the outside world (let his own people endorse his own company), and his right hand did not forget to pull out other people's wool (lifting the brocade clothes and clothing, shooting Alaska sports goods). It was a violation of the rules to be stingy.
"Disciplinary lawyer, is this possible?" Jiang Shuiyuan had met Ji Hong before and knew that he was the Pu family's private lawyer.
Ji Hongyan replied concisely: "There is no problem in law."
Since the lawyer said it was OK, Jiangshuiyuan was fine either. After all, no one’s money was not blown by the strong wind, so it would be best to save a little. So Jiangshuiyuan nodded: "Okay, wait for the end of July and early August, see when I have time and will take a week to deal with these things together."
"Uh...Boss, don't you have summer vacation?"
For Jiangshuiyuan, this thing is like a mathematical system with infinite size in the middle. It exists and does not exist. If Jiangshuiyuan needs it, then the summer vacation can start a month ago; if you don’t need it, even if you are busy until the New Year, you can find something to do! Jiangshuiyuan feels that what he needs most now is to complete the university courses as soon as possible, rather than take a vacation: "I have a few courses to study during the summer vacation, and I don’t necessarily have time to go back. Of course, since I have something to do, I will try my best to take time to go back for a week."
Wu Zichen couldn't speak out: "Boss, you are so awesome, you still need to make up for your lessons?"
As if to prove the river water source, Gao Bozhu pushed the door open and saw someone else in the room, he smiled and said hello, "Oh, these are all here to participate in today's "Ordinary Differential Equations"? There are quite a few people! I happened to bring someone here, our sophomore year in the department, named Yu Yong, has good grades, especially interested in geometry, and has also taught himself differential manifolds. You can learn about each other in the future."
Jiang Shuiyuan discovered that there was a tall and average-looking boy following Gao Bozhu: "Welcome Senior Brother Yu!" Then he pointed to Wu Zichen and explained: "This is my high school classmate, I took the time to come over and have fun. I will go out to say a few words to them and will come back later."
Wu Zichen waved his hands repeatedly: "No, no, I'm done with all my affairs. Boss, please be busy!"
"Then you go to the West Lake with the disciplinary agent, and I will treat you to dinner at noon." Since Wu Zichen came with the disciplinary agent, Jiang Shuiyuan didn't believe that he could explain clearly just to talk to him a few words to him.
"No, really, I have something to do when I go back. I'll come to see you next time."
Wu Zichen refused very simply, not at all like the dog skin plaster style that was once so that he could not be peeled off. Jiang Shuiyuan thought that something was really wrong when he went back, so he didn't insist on it even though he thought about it.
Only Jiang Shuiyuan and Yu Yong remained in the classroom. Gao Bozhu touched his radiant forehead: "Today is our first class, and we are taking "Ordinary Differential Equations". As we all know, Ordinary Differential Equations are the basic courses of our undergraduate mathematics major. They are also a theoretical synthesis, development and practice after learning basic courses such as number scores, high-generation, and solutions. They are important prerequisite courses for future functional analysis, partial differential equations, differential geometry, etc., so generally schools open this course in the first semester of sophomore year. Of course, there are also some schools, such as Jingshi University, who started to learn in the first semester of their senior year. The importance of learning the Ordinary Differential Equations well is self-evident. And you two, Yu Yong has already learned "Ordinary Differential Equations"--"
When Yu Yong heard Teacher Gao click his name, he felt so guilty that he almost stuffed his head under the table.
As the exam week was about to come to an end, he was planning to take a girl ticket to *** or Lushan to escape the summer heat, and enjoy the sweet world of two people. Unexpectedly, he was taken to the office by phone by Gao Bozhu: Boy, I see that you have a wonderful bones and are a mathematical genius in thousands. The important task of the development of Chinese mathematics in the future will be given to you. I have this secret book, no, I am going to hold a workshop during the summer vacation, about differential geometry, come and participate!
Teacher, this, I still have something to do during the summer vacation...
Participate in the workshop, and I will give you full marks in the "Differential Geometry" class in the future!
As for the consequences of not participating, Gao Bosuke did not say anything, and Yu Yong did not dare to ask, all based on his own understanding. In the end, he was still timid: OK, I will participate. After all, I would come back with tears in my eyes. When he borrowed the three-volume version of Dubrouwen's "Modern Geometry" designated by Gao Bosu from the library, he immediately cried out "wow", like a child of 300 pounds: I am already difficult enough, but I didn't expect this set of "Modern Geometry" to be more difficult than me!
In a short period of time, it involves mathematical form transformation, Xin geometry, complex geometry, demonstration, Li Qun, Li algebra, and physical point groups, Hamiltonian mechanics in the form of Xin geometry, general relativity, Dirac equation, quantum field theory, gauge theory, and even quantum gravity theory. I have seen it almost pull out my hair in the past few days. I didn't understand much in the book, but he understood another thing: Teacher Gao's hair should be like this, right?
Gao Bosuke didn't expect that Yu Yong had so many dramas in his heart, and then said: "And Xiaojiang also taught himself the content of "Ordinary Differential Equations", counting, high-generation, and solving the three basic courses are all full marks--"
Jiang Shuiyuan was slightly surprised: Hey, the analytical geometry actually got full marks!
The examination of "Analysis Geometry" ended as early as the day of the graduation party of the Department of Mathematics. The questions are very difficult, but they are all within the cognitive scope. How to make the marking teacher deduct 1 point reasonable without expanding it became Jiang Shuiyuan's main task when he was about to finish the question. Finally, he was inspired and came up with a good idea: cut corners on the last few unimportant steps, used "obviously" and skipped directly, which was a chance to pick the marking teacher.
Unexpectedly, no points were deducted in the end!
"In addition, the content of "Ordinary Differential Equations" is relatively simple, so this course has three purposes. First, review the relevant content and lay a solid foundation for the next study of "Diffinary Geometry"; second, study some problems in ordinary differential equations in depth. At that time, I will give you a few questions. If you do well, you can recommend them to the journal of our school. Finally, we will continue to work together and find the most suitable communication method. Do you have any opinions?"
"No." The two answered in unison.
Gao Bozhu nodded with satisfaction. In fact, this was the most satisfying moment he had since entered Liangjiang University. Even if the school promised to give him an annual salary of 400,000 yuan, the 120-square-meter housing was not as satisfied now. After all, the two most talented seedlings in the entire mathematics department were all taken into the bag by themselves. He grinned: "Okay, let's take our course in turn and I'll ask questions and comments. Since it's the first class, let's start with the youngest Xiaojiang."
Yu Yong secretly breathed a sigh of relief.
Jiang Shuiyuan was not at all stage frightened, and walked to the front of the whiteboard to pick up the marker pen: "If you want to talk about ordinary differential equations, you have to talk about differential equations first. After all, ordinary differential equations are a category that originated earlier, developed relatively well, and had relatively simple content. The theory of differential equations began at the end of the 17th century. As early as 1676, Leibniz told Newton that the term "differential equation" was mentioned for the first time, and it quickly grew into a powerful tool for studying natural phenomena. It is also one of the main ways for mathematical science to connect with practice. In this process, many famous mathematicians such as Newton, Leibniz, Bernoulli, Cauchy, Euler, Taylor, Poincaré and many other famous mathematicians made important contributions.
"From a macroscopic perspective, the development of differential equation theory has gone through three stages, namely finding solutions to differential equations; qualitative theory and stability theory; modern branch theory of differential equations. The development of ordinary differential equations can also be divided in this way. This is the basic idea of many textbooks for ordinary differential equations, such as Pontriakin's "Ordinary Differential Equations".
"If I were to teach this course, I would focus on three aspects, first of all, concepts, which reflects the most basic and most important content of the field of ordinary differential equations by predecessors; secondly, theorems, which show the level of understanding of the laws of predecessors in the field of ordinary differential equations and the heights that can be achieved; finally, theory, which is the ideas, history and direction of the field of ordinary differential equations by predecessors.
"Next, I will list the concepts and theorems involved in the course according to the trajectory of the discipline's development..."
In the next three lessons, Jiang Shuiyuan listed from the most basic differential equations, the order definitions of the ordinary differential equations, to the stability of the Lyapunov, the comparison theorem of the sturm, and the expressions of each knowledge point in which textbook are all well-known. The key is that he did not bring a note or read a page of the textbook!
Yu Yong was like a mistress being taken by the main wife and Xiao Si arrested the current female secretary and hid in the corner and shivered. If he had read the online article, he would definitely shout out four words: It was so scary!
Even Gao Bosu was stunned by Jiang Shuiyuan's magical performance. When Jiang Shuiyuan threw down the marker and said, "This is my sorting out the content of the ordinary differential equations." He came back to his senses for a long time and said with a stern smile: "It seems that Xiaojiang has a very solid foundation and has a very thorough grasp of the course content. What supplements do you have, Yu Yong?"
Yu Yong looked like a cute newbie: "I don't."
Gao Bozhu nodded: "I originally thought that the course "Ordinary Differential Equations" would take at least three or four times, but I didn't expect to finish it in one class! But this is good, we can have more time to learn the content of "Diffinary Geometry". As for the exercises of common differentials, I will send them to you via email after class. The questions are difficult. You try to do them and try to get more than one question for each person. Next class, let's take "Number Theory". This time, Yu Yong will talk about it, and Jiang Shuiyuan will ask questions and comments. Is it okay?"
Yu Yong suddenly shook even harder, as if he was talking to a female technician about life and was suddenly surrounded by a patrol policeman holding a camera.
Chapter completed!