Volume 1: Student Life Chapter 90: Foundations of Number Theory
Coming out of the counselor's office, Chen Zhou held a pile of books and walked through a sea of strange looks before finally returning to the dormitory.
Chen Zhou guessed that they had never seen so many books...
After pushing open the dormitory door, Chen Zhou took two steps at a time, walked to the table, and put the pile of books on the desk.
Zhao Qiqi, Zhu Mingli and Li Li immediately surrounded them, all with many questions in their minds.
Zhao Qiqi asked: "Chen Zhou, where did you get so many books?"
Chen Zhou replied, "I asked my counselor to buy it for me. If you want to read basic math textbooks in the future, you can get them from me."
Zhao Qiqi glanced at the pile of books and said, "No way, these books are all basic mathematics textbooks?"
"Yeah." Chen Zhou nodded and began to organize the teaching materials.
"Okay, are you planning to study on your own in advance?" Zhao Qiqi also helped Chen Zhou organize.
"This is the current plan." Chen Zhou replied honestly.
"But some of these seem to be in the curriculum?" Li Li has been paying attention to these teaching materials.
"Well, I have picked out all the courses." Chen Zhou nodded. He had divided the teaching materials into two parts, one for what he would learn immediately, and the other for self-study.
The textbooks that I will soon study include "Mathematical Analysis 1", "Advanced Algebra 1" and so on.
The textbooks I plan to study on my own include "Foundations of Number Theory", "Basic Algebraic Geometry", "Topology", "Differential Geometry", "Partial Differential Equations", "Functional Analysis" and so on.
Li Li glanced at the two piles of textbooks of completely different heights and said, "Chen Zhou, if you really want to learn so much by yourself, it will take a lot of time."
Chen Zhou smiled faintly and said, "It will take quite a while."
After sorting out the teaching materials , Chen Zhou went out again, called Yang Yiyi to have dinner together, and then bought some daily necessities.
While eating, Chen Zhou thought of the pile of math books again, so he asked, "Yiyi, do you have many basic courses in the physics department?"
"Looking at the course schedule, it doesn't seem like much. It's mainly modern physics, theoretical mechanics, general physics, etc." After a pause, Yang Yiyi thought Chen Zhou was worried that his courses were difficult, so she continued, "With the physics and advanced mathematics I studied with you during the summer vacation as a foundation, the courses shouldn't be difficult."
"Uh...that's good. Well, please lend me your textbooks later." After saying this, Chen Zhou took a bite of rice.
"Well, okay." Yang Yiyi said and glanced at Chen Zhou.
After dinner, the two went to buy daily necessities.
There were a lot of big and small basins, and this time no one paid attention to Chen Zhou. This was the normal state at the beginning of the school year.
After returning to the dormitory and putting everything in order, Chen Zhou’s university life officially began.
Sitting at the desk, Chen Zhou took out "Foundations of Number Theory" and started flipping through it.
Number theory is also known as the "Queen of Mathematics". It is a type of pure mathematics that mainly studies the properties of integers.
Pure mathematics is the study of the laws of mathematics itself, not for the purpose of practical application.
Number theory was called arithmetic in the early days. It has a very early origin, but after a long period of blankness, it was not until the development of Fermat, Mersenne, Euler, Gauss, Riemann, Hilbert and others that number theory gradually became richer.
In fact, everyone has come into contact with number theory a long time ago, but no one knew that it was called number theory.
For example, a number has a remainder of 1 when divided by 5 and a remainder of 2 when divided by 3. What is the smallest number?
The question is very simple. Use the general step-by-step satisfaction method to arrange the numbers that have a remainder of 1 when divided by 5 from small to large, and then find the smallest number that has a remainder of 2 when divided by 3.
This is a number theory problem, which involves Sun Tzu's theorem in number theory, also known as the Chinese Remainder Theorem.
The book "Foundations of Number Theory" that Chen Zhou was reading was published by Higher Education Press and written by Mr. Pan, a famous Chinese mathematician.
It mainly includes the divisibility of integers, number theoretic functions, some elementary results of prime number distribution, congruence and other contents.
Starting from the basic properties of divisibility, Chen Zhou was fascinated.
For theorems that can be easily mentioned, such as the fact that there are infinite prime numbers, the book also provides corresponding proofs.
The learning of knowledge needs to start from the shallower to the deeper. First understand the most basic ones, and then study the deeper ones.
Chen Zhou was watching with great interest, but his thoughts were interrupted by a voice beside him.
Chen Zhou turned his head and saw that Zhao Qiqi and Zhu Mingli were playing passionately, communicating frequently, and preparing to cross the tower.
Both of them, no, all three of them brought their notebooks.
Chen Zhou looked at it for a few seconds, then retracted his gaze and focused on the textbook in front of him again.
After reading for a while, Chen Zhou closed the textbook and went to wash up with the basin.
When he came back, he found that Zhao Qiqi and his partner had started a new game.
Chen Zhou asked: "Did you win just now?"
Zhao Qiqi replied while controlling the hero: "Of course, I will always win. My output is invincible!"
Zhu Mingli exposed him: "It's my top laner who can handle it, you can just focus on output under my crotch..."
Zhao Qiqi: "Yes, yes, yes... Big Brother is invincible... Hey, be careful of the hook..."
Chen Zhou smiled and stood behind the two of them and watched for a while.
After the game was over, Zhao Qiqi turned around and asked, "Chen Zhou, do you want to play League of Legends? Quickly fix the computer so we can play together later?"
Chen Zhou replied, "I used to play, but now I hardly play. You guys play, I'm going to bed first. I've been sitting in the car all day and I'm very tired."
After saying that , Chen Zhou climbed onto his upper bunk.
Lying on the bed, Chen Zhou glanced at Zhao Qiqi and the other person who were fighting vigorously, and then silently planned the study time of the textbooks.
At about 9 o'clock in the evening, Zhao Qiqi and his partner finished their last game and did not play again.
Instead, he turned off the computer, quickly washed up, and went to bed.
Chen Zhou noticed that they lost the last round.
The new students’ registration lasted for two days, and then the counselor Huang Yemei held their first class meeting.
The School of Mathematical Sciences of Yanda University has a total of five departments. Only the Department of Mathematics can be considered as basic mathematics. The other four departments, namely the Department of Probability and Statistics, the Department of Information Science, the Department of Scientific and Engineering Computing, and the Department of Financial Mathematics, basically belong to the category of applied mathematics.
There are nearly 200 freshmen in the 2014 class of the School of Mathematics, but there are only about 30 students in the Department of Mathematics, in one class.
When introducing himself at the class meeting, Chen Zhou discovered that most of the students in this class were admitted through competitions.
It can be said that it is a gathering place of talented people.
After everyone introduced themselves, the counselor briefly talked about the school rules and regulations.
After the class meeting, the school will hold various welcome activities for new students in the next few days.
Such as the opening ceremony, visiting the school history museum, admission lectures, welcome party and so on.
It is mainly to help freshmen understand the school, become familiar with the campus, and get to know new classmates.
Amidst these activities, Chen Zhou’s first class at Yanda University also arrived.
