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Chapter 90 Fundamentals of Number Theory



Chapter 90 Fundamentals of Number Theory
Coming out of the counselor's office, Chen Zhou carried a stack of books, walked through the strange eyes that looked at him, and finally returned to the dormitory.

Chen Zhou guessed that they had never seen so many books.
Bumping open the door of the dormitory, Chen Zhou took three steps and two steps, walked to the desk, and put the stack of books on the desk.

Zhao Qiqi, Zhu Mingli, and Li Li immediately surrounded him, and there were many question marks in their minds.

Zhao Qiqi asked: "Chen Zhou, where did you get so many books?"

Chen Zhou replied: "I asked the counselor to buy it. In the future, if you want to see basic mathematics textbooks, you can get them from me."

Zhao Qiqi glanced at the pile of books: "Isn't it right, your pile of books are all textbooks for basic mathematics?"

"Well." Chen Zhou nodded and began to sort out the textbooks.

"Okay, are you planning to teach yourself in advance?" Zhao Qiqi also helped Chen Zhou sort out.

"This is the plan for now." Chen Zhou replied honestly.

"But some of these seem to be in the course?" Li Li has been paying attention to these teaching materials.

"Well, I've picked out some of the courses." Chen Zhou nodded. He has divided the textbooks into two parts, one that will be learned soon, and the other that is ready for self-study.

There are several textbooks such as "Mathematical Analysis 1" and "Advanced Algebra 1" that will be learned soon.

For self-study, there are many textbooks such as "Fundamentals 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 study so much by yourself, it will take a lot of time."

Chen Zhou smiled lightly: "It takes a lot of time."

After finishing the textbooks, Chen Zhou went out again and called Yang Yiyi to have dinner together, and then buy some daily necessities.

While eating, Chen Zhou thought of the stack of math books again, and asked, "Yiyi, do you have many basic courses in your physics department?"

"Looking at the course schedule, it doesn't seem to be much. It's mainly modern physics, theoretical mechanics, and ordinary physics." After a pause, Yang Yiyi thought that Chen Zhou was worried that his courses would be difficult, and then said, "I have summer vacation with you. Self-taught big things and advanced mathematics are the foundation, and the courses should not be difficult."

"Uh, that's fine. Well, go back and lend me your textbook too." After Chen Zhou finished speaking, he took a mouthful of rice.

"Well, good." After Yang Yiyi finished speaking, she glanced at Chen Zhou.

After dinner, the two went to buy daily necessities.

There are big pots and small pots, and there is another big pile. This time, no one cares about Chen Zhou. This is the normal state of school.

After returning to the dormitory and putting everything in order, Chen Zhou's college life has officially begun.

Sitting at the desk, Chen Zhou took out "Basics of Number Theory" and flipped through it.

Number theory, also known as the "Queen of Mathematics", 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, and it originated very early, but after a long blank period, it was not until the development of Fermat, Mason, Euler, Gauss, Riemann, Hilbert and others that number theory gradually became richer. .

In fact, everyone has been exposed to the content of number theory a long time ago, but no one knows that it is called number theory.

For example, if a number is divided by 5 and the remainder is 1, when divided by 3, the remainder is 2. What is the smallest number?

The problem is very simple. Using the general step-by-step satisfaction method, divide the number of 5 with 1 and arrange it from small to small, and then find the smallest number divided by 3 with 2.

This is a number theory problem, which involves Sun Tzu's theorem in number theory, also known as the Huaguo remainder theorem.

The "Basics of Number Theory" that Chen Zhou read was published by the Higher Education Press, and was written by Mr. Pan, a famous mathematician in China.

It mainly includes the divisibility of integers, number theory functions, some elementary results of the distribution of prime numbers, and congruence.

Starting from the basic nature of divisibility, Chen Zhou was very fascinated by it.

For example, there are infinitely many prime numbers, these theorems can be said casually, and the corresponding proof methods are also given in the book.

The learning of knowledge needs to be from the shallower to the deeper, to understand the most basic first, and then to study the deeper level.

Chen Zhou was watching with relish, but his thoughts were interrupted by a voice next to him.

Chen Zhou turned his head and looked. Zhao Qiqi and Zhu Mingli were having a passionate affair, communicating frequently, and preparing to cross the tower.

The two of them, no, all three of them brought their notebooks.

Chen Zhou looked at it for a few seconds, then withdrew his gaze and focused on the textbook in front of him again.

After looking at it for a while, Chen Zhou put the textbook together and took the washbasin to wash.

When he came back, he found that Zhao Qiqi and the two had started a new round.

Chen Zhou asked, "Did you win just now?"

While manipulating the hero, Zhao Qiqi replied, "That's a must, keep winning. My output is invincible!"

Zhu Mingli spoke out to expose him: "It's not that my top laner brother can withstand it, you can feel at ease outputting under my crotch."

Zhao Qiqi: "Yes, yes, the eldest brother is invincible, be careful of the hook"

Chen Zhou smiled and stood behind the two and watched for a while.

At the end of the game, Zhao Qiqi turned his head and asked, "Chen Zhou, are you playing Lu Lu? Hurry up and turn on the whole computer and turn on the black together?"

Chen Zhou replied: "I used to play, but now I basically don't play. Let's play. I'm going to bed first. I've been in the car all day today, and I'm too tired."

After speaking, Chen Zhou climbed onto his upper bunk.

Lying on the bed, Chen Zhou glanced at Zhao Qiqi who were fighting vigorously, and then silently planned the study time of the textbook.

At about 9 o'clock in the evening, Zhao Qiqi and the two finished the last fight and did not start again.

Instead, he turned off the computer, washed quickly, and went to bed.

Chen Zhou noticed that the two of them lost the last one.

The registration of the freshmen lasted for two days, and then counselor Huang Yemei gave them their first class meeting.

The School of Mathematical Sciences of Yanda University has a total of five departments. Only the Department of Mathematics is considered as a category of basic mathematics. The other four departments, namely the Department of Probability and Statistics, the Department of Information Science, the Department of Science and Engineering Computing, and the Department of Financial Mathematics, basically belong to the category of applied mathematics. .

There are nearly 14 freshmen in this class of 200th grade math college, while there are only about 30 people in the mathematics department, all in one class.

When introducing himself at the class meeting, Chen Zhou found that most of the students in this class were recommended through competitions.

It can be said to be a gathering of talents.

After everyone introduced themselves, the counselor briefly talked about school rules and regulations.

The class meeting is over, and the next few days are the school's various orientation activities.

Like the opening ceremony, visiting the school history museum, entrance lectures, orientation meetings, etc.

Mainly to help new students understand the school, familiarize themselves with the campus, and familiarize themselves with new students.

Among these activities, Chen Zhou's first class at Yanda University also came.

(End of this chapter)


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