Omnipotent Data

Chapter 289



Chapter 292

Cheng Nuo's winter vacation officially began in the quarrel with Mu Leng.

After a busy semester in college, Cheng finally had time to rest.

After several days of lying dead like salted fish at home, Cheng Nuo had to get up again to start his learning process.

"Complex function" and "ordinary differential equation" are two courses that need to be used in college students' mathematics competition, and Cheng Nuo should complete them by himself before the new year.

Taking a taxi, Cheng Nuo goes straight to the biggest bookstore in Qingcheng.

Originally, I wanted to buy only two books: complex variable functions and ordinary differential equations. However, I thought that all the things were coming. It was better to buy more books at one time. Cheng Nuo took more than a dozen books from the bookshelf and settled the account one by one.

Functions of real variables and functional analysis, abstract algebra, probability theory and mathematical statistics, topology, partial differential equations

These are the courses that mathematics department will learn in the four years of college.

He returned to his bedroom with a dozen books.

The hundreds of high school review books on the bedroom bookshelf have been cleaned up by Jiang LAN, and now it is a little empty. Cheng Nuo put more than a dozen books on the bookshelf in order and chuckled.

With his learning speed, it is estimated that the bookshelf will be filled again soon!

Study, Sao Nian!

After making a cup of coffee, Cheng Nuo sits at his desk and opens the title page of the book complex functions.

It is more difficult to learn a complex function than a natural function. This course is based on derivative and integral as the starting point, gradually developed.

As a branch of function theory, compared with real variable function, complex variable function takes complex field as an independent variable to carry out various function operations.

This textbook mainly explains the content of complex variable function through three aspects.

Analytic function, general mapping, Riemann surface.

Cheng Nuo had the manuscript in hand, reading and calculating the theorems in the book.

For example, Cauchy Goursat theorem means that a function f (z) has a theorem on the region u, G (z) is called the analytic primitive function of F (z) in the region u, if G (z) is analytic on u and G '(z) = f (z) holds everywhere on U.

After reading this theorem, Cheng Nuo did not directly look at the proof process of the theorem below, but directly proved it on the draft paper.

Let γ: [a, b] → C be a piecewise smooth curve with parameter equation γ (T), a ≤ t ≤ B. if f (x) is continuous on γ, then ∫ f (z) DZ = ∫ (a, b) f (γ (T) γ '(T) DT 】

after verification, Cheng Nuo opened the textbook for comparison. The idea is exactly the same.

Whoa, whoa, whoa! Sure enough, great mathematician Cauchy and I have the same idea!

Holding a happy mood, Cheng Nuo continues to look down.

…………

It took almost two days for Cheng Nuo to finish reading the 200 page book complex function. The contents of the book have been fully understood. Although there is still a long way to go in the field of distance becoming a function of complex variables, it is enough just to deal with the mathematical competition.

Cheng Nuo was not in a hurry to learn another book of ordinary differential equations. The time agreed with Qingcheng No.2 Middle School to hold the lecture is three days later. Today, Cheng Nuo plans to visit senior Tang, the head teacher of senior high school.

Stepping into the campus of No.2 Middle School, which has been separated for half a year, Cheng Nuo has a feeling of returning home in good clothes.

Scenes flashed in his mind, a year ago today, he is still an ordinary high school student, numb to accept the six to nine learning life, confused about the future and helpless, do not know what to do in the future. But now, he's different!

He clenched his fingers a little white, and the goal of becoming a king in his heart became more and more firm.

According to his memory, Cheng Nuo came to the math group's office.

Push the door in, the office is still familiar with the layout. However, Cheng Nuo glanced around and did not find the figure of Lao Tang.

"Chengnuo, you're back!" Suddenly, a voice of surprise, attracted the attention of other math teachers in the office.

Especially when I heard the legendary name, one by one, I scanned the office and finally stopped at the young man.

This group of teachers in the mathematics group are half of the people who watch Cheng Nuo grow up step by step. When they see Cheng Nuo, they are naturally overjoyed.

"Cheng Nuo, have you forgotten our group of old guys when you passed the first place in the college entrance examination. For more than half a year, I haven't seen you come back to see us once. " That with eyes, before often let Cheng Nuo help to do the problem of teacher Zhang turned the chair, smile jokingly way.

"No, I didn't Cheng Nuo wryly grinned and waved his hand. "You know, Tsinghua University's study is not much more relaxed than high school. It's not that I don't want to visit, but I can't find the time.""It's OK. It's OK." Another mathematics teacher said, "Lao Zhang, this guy is to see that you, the champion in the college entrance examination, was not taught by himself. He resented deeply. You're here to find Lao Tang, right? He's in the classroom of your original class 18 to give students Aosai guidance

"Well, teachers, I...."

"Go ahead, go ahead. I don't know what kind of luck the old Tang guy has cultivated in his life and taught you such a good student." In the laughter and abuse of teacher Zhang, Cheng Nuo closed the door and walked out of the mathematics office.

Because there are only 16 classes in senior three, that is, when Cheng Nuo was in senior three, class 18 of senior three has become a tutoring classroom for mathematics competition. Because of the training of Cheng Nuo, a champion in the college entrance examination, and his mathematics level is really enough, Lao Tang became the competition tutor of this session.

After arriving at the classroom door, Cheng Nuo looks inside through the glass window of the back door.

There are more than 30 students sitting in the classroom, most of them are boys, only a few girls. They look up at the blackboard and concentrate.

If no accident, these 30 students will participate in the unified high school mathematics league next year. Then the first prize winner will have the opportunity to sign up for the IMO to be held in March next year to win glory for the country.

Before, Cheng Nuo has not participated in IMO, and even has not participated in such competition coaching. This is Cheng Nuo a big regret. I just don't know if my group of younger students can replace him to win the gold medal in the IMO final.

Cheng Nuo gently pushed the back door of the classroom, touched it quietly, and crept in to find a seat in the back row.

Old Tang on the platform was giving a lecture seriously, but he didn't find a "student" in the classroom.

Old Tang took a competition tutorial book and talked about it.

"Next, let's look at the last question. This is the penultimate question in the second test of last year's mathematics league. I looked at your paper and only Chen Gong did it. Now I'll tell you about this question... "

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