Volume 1: Student Life Chapter 93: Mathematics that dominated the nineteenth century

Chen Zhou came out of the dormitory and originally planned to invite Li Li to have dinner together, but Li Li was too polite and refused to come.
Chen Zhou had no choice but to go to the next dormitory building alone and wait for Yang Yiyi .
Yang Yiyi lives on the third floor. The four girls in the dormitory are from four departments of the School of Physics.
I have to say that there are very few girls in the several major colleges of the Faculty of Science at Yenching University.
Among them, the School of Physics and the School of Mathematics are the worst hit.
If we compare the School of Physics and the School of Mathematics, the School of Physics is definitely the undisputed number one school.
There are two girls in Chen Zhou's mathematics department, but there is only one girl in Yang Yiyi's physics department.
"Yiyi, your boyfriend is here to see you. I'm leaving now." Yang Yiyi's roommate said, then walked to Chen Zhou and whispered, "Your girlfriend is very popular. You'd better keep an eye on her."
Chen Zhou glanced at the girl and smiled, indicating that he had no pressure at all.
"Okay..." The girl shrugged, said something to Yang Yiyi, and left with her luggage.
Yang Yiyi walked up to Chen Zhou and asked, "What did she say to you?"
Chen Zhou looked at Yang Yiyi and said softly, "Well, let me keep an eye on you. You are very important."
Hearing this, Yang Yiyi blushed: "This Li Jing..."
"What's her name?" Chen Zhou asked.
"Li Jing, what's wrong?"
"Ask some of my brothers in the dormitory."
"Hmm~" Yang Yiyi thought for a moment and said, "She is from the Department of Astronomy. There are only two girls in that department. You have to ask your roommate to be more careful."
"Well, I'll go back and tell them."
After Chen Zhou finished speaking, he took Yang Yiyi's hand and walked towards the Yanda cafeteria.
It seemed that the course was specially designed for the National Day Golden Week holiday, so Chen Zhou and Yang Yiyi had no classes in the afternoon.
After dinner, the two strolled around the Yanda campus for a while and then went to the library.
Although it's holiday, there are still many people in the library.
Chen Zhou and Yang Yiyi finally found two adjacent seats.
Yang Yiyi took out the "Mechanics" (Shu edition) textbook and handed it to Chen Zhou, then took the "Mathematical Analysis" (Volume 1) from Chen Zhou and prepared to study it by herself.
Chen Zhou looked at her skillful movements, smiled slightly, put the "Mechanics" aside, and took out the textbook "A Brief Tutorial on Complex Functions" (Yenching University Edition).
Yang Yiyi looked at the book "Complex Function" with some surprise and asked in a low voice: "Chen Zhou, is this the sixth textbook you have read?"
During the summer vacation, when she and Chen Zhou supervised each other's self-study, Yang Yiyi had already discovered that Chen Zhou was very fast at reading and studying, but she didn't expect Chen Zhou to be so fast.
In less than a month, Chen Zhou has taught himself five basic mathematics textbooks, including "Basic Number Theory", "Mathematical Models", "Probability Theory" and the last two volumes of "Mathematical Analysis".
The key point is that Yang Yiyi feels that these textbooks seem to have no connection with each other except that they all belong to the category of mathematics. How does Chen Zhou learn so quickly?
"Well, if we don't count the first volume of calculus in the course, this is the sixth volume." Chen Zhou nodded and opened the "Concise Tutorial of Complex Functions" in front of him.
"So you've studied all three textbooks for your math class by yourself? Add those three textbooks, that's a total of six textbooks, how did you do it?" Yang Yiyi was even more surprised when she heard Chen Zhou's words. After thinking for a while, she said, "Chen Zhou, do you stay up late every day to read books?"
Chen Zhou smiled, looked at Yang Yiyi and said, "Are you stupid? Studying requires a balance between work and rest, so how could you not sleep? I mainly studied the math and calculus books during class time. As for the other books, you know that I studied them by myself when I was studying with you."
After a pause, Chen Zhou said quietly: "As for why it's so fast..."
Yang Yiyi: “Why?”
"That's of course because I'm gifted." After Chen Zhou finished speaking, he smiled proudly at Yang Yiyi.
"cough!"
But the people around him obviously didn't buy it. The brief conversation between Chen Zhou and Yang Yiyi had already affected him.
This cough instantly silenced Chen Zhou and Yang Yiyi.
Yang Yiyi didn't ask any more questions, but made a silent decision in her heart that she had to study harder.
Yang Yiyi looked at the book "Mathematical Analysis" (Volume 1) in front of her, and her eyes became focused.
"This girl..." Chen Zhou shook his head slightly, collected his thoughts, and prepared to read the book "A Brief Tutorial on Complex Functions".
This book, like the mathematics and calculus textbook, was written by a teacher from Yan University and also uses yellow text.
Complex function refers to a function with complex numbers as independent and dependent variables, and its theory is called complex function theory.
As we all know, the concept of complex numbers originated from finding the roots of equations. When finding the roots of quadratic and cubic algebraic equations, the square root of negative numbers arises.
For a long time, people could not understand this situation. It was not until later, with the research of the mathematical god Euler and another great figure d'Alembert, that the discipline of complex variable functions was established.
Complex functions are also related to many famous mathematicians in history, such as Cauchy and Riemann, who have made certain contributions to the development of complex functions.
The most glorious period of complex variable functions was in the 19th century. Just as the direct extension of calculus dominated the mathematics of the 18th century, the new branch of complex variable functions dominated the mathematics of the 19th century.
Mathematicians at the time recognized that complex functions were the most fertile branch of mathematics and called it the mathematical enjoyment of this century. Some also praised it as one of the most harmonious theories in abstract science.
Chen Zhou looked at the development history of complex functions and felt a little emotional. The development of every era always requires someone to step forward and lead the way.
Back to the book "A Brief Tutorial on Complex Functions", Chen Zhou first read the table of contents. It is divided into eight chapters, including complex numbers and complex functions, analytic functions, Cauchy's theorem and Cauchy formula, Laurent series, residues, harmonic functions, analytic development and conformal mapping.
Chen Zhou was familiar with contents like complex numbers and power series, but it was the first time that he saw things like Cauchy's theorem and formula.
After thinking for a while, Chen Zhou made up his mind to study this textbook on complex functions within three days.
On the one hand, the collection of wrong questions will be upgraded soon.
On the one hand, it is to quickly gain mission experience.
Chen Zhou took a sip of the spiritual potion in the cup and began his journey of reading books.
"Chapter 1, Complex Numbers and Complex Functions"
"1.1 Complex Domains"
This section starts with the definition of complex numbers and introduces some basic properties of complex numbers.
Chen Zhou quickly memorized the contents of the book and did not choose to skip.
This is his usual habit. For knowledge points that he is already familiar with, reviewing them again does not waste much time and can also deepen his memory.
"Imaginary root i...complex number...real part...imaginary part...imaginary number..."
"The field of complex numbers... the complex plane... complex vectors..."
"Conjugate complex numbers..."
"1.2 Topology of the complex plane..."
Chen Zhou immersed himself in this ocean of knowledge, working hard to fill the gaps in his knowledge.
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