Omnipotent Data

Chapter 292

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

After spending a whole semester in college, Cheng Nuo finally had time to rest.

After lying in the house like a salted fish for several days, after feeling comfortable enough, Cheng Nuo had to get up again to start his learning process.

"Functions of Complex Variables" and "Ordinary Differential Equations" are two courses that need to be used in the mathematics competition of college students. Cheng Nuo also needs to complete self-study before the New Year.

After hitting a car, Cheng Nuo went straight to the largest bookstore in Qingcheng.

Originally thinking of buying only the two books of complex variable functions and ordinary differential equations, but thinking that they are all coming, it is better to buy more at one time, Cheng Nuo took a dozen books from the shelf and settled together.

"Real Variable Functions and Functional Analysis", "Abstract Algebra", "Probability Theory and Mathematical Statistics", "Topology", "Partial Differential Equations"...

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

He returned to his bedroom with a stack of books weighing more than ten kilograms.

The hundreds of high school review books on the bedroom bookshelf had been cleared by Jiang Lan, and it seemed a little empty at the moment. Cheng Nuo put a dozen books neatly on the shelf and smiled lightly.

With his learning speed, it is estimated that this bookshelf will soon be full again!

Learn, Sao Nian!

After making a cup of coffee, Cheng Nuo sat at the desk and opened the front page of the book "Functions of Complex Variables".

In terms of difficulty, functions of complex variables are naturally higher than those of high algebra and mathematics in the freshman year. Such a course is gradually developed with derivatives and integrals as the starting point.

As a branch of function theory, comparing real variable functions, complex variable functions take the complex number domain as an independent variable to perform various function operations.

And this textbook mainly explains the content of complex variable functions through three aspects.

Analytical function, common mapping, Riemann surface.

Cheng Nuo had draft paper on hand, reading the book, and calculating the theorems in the book.

For example, the Cauchy-Goursat (Cauchy-Goursat) theorem means that a function f(z) has a theorem on the area U, g(z) is called the analytic primitive function of f(z) on the area U, if g( z) parses on U and g\'(z)=f(z) holds everywhere on U.

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

[Suppose γ: [a, b]→C is a smooth curve piece by piece, the 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 the certification, Cheng Nuo opened the textbook and compared it. The idea is exactly the same.

wakaka! Sure enough, the great mathematician Cauchy had the same idea as mine!

With a happy mood, Cheng Nuo continued to look down.

…………

It took almost two days for Cheng Nuo to finally finish reading the two hundred-page book "Functions of Complex Variables". The contents of the book have all been integrated. Although there is still a lot of distance from being a big bull in the field of complex functions, it is enough to deal with math competitions.

Cheng Nuo didn't rush to teach himself another ordinary differential equation. The time agreed with Qingcheng No. 2 Middle School to hold a lecture is three days later, and today, Cheng Nuo intends to go to No. 2 Middle School to visit senior high school teacher Old Tang.

Stepping into the campus of the Second Middle School that had been away for half a year, Cheng Nuo felt quite like returning home.

The scenes of the past flashed in his mind. Today, a year ago, he was still an ordinary high school student, numbly accepting the six to nine study life, confused and at a loss for the future, and did not know what to do in the future. But now, he is different!

His clenched fingers were a little white, and his goal of becoming a king became firmer.

According to memory, Cheng Nuo came to the office of the math group.

Push the door to enter, the office is still familiar with the layout. However, after Cheng Nuo glanced around, he did not find the figure of Old Tang.

"Cheng Nuo, you are back!" Suddenly, a surprised voice attracted the attention of other math teachers in the office.

Especially when he heard the legendary name, his eyes swept across the office, and finally stopped on the boy.

This group of teachers in the math group is half of the people who watched Cheng Nuo grow up step by step. When they saw Cheng Nuo, they were naturally overjoyed.

"Cheng Nuo, if you kid got the top pick in the college entrance examination, you just forgot about our group of old guys. It's been more than half a year, and I didn't see you come back to see us once." The man with eyes always asked Cheng Nuo to help. Teacher Zhang, who was doing the question, turned his chair and joked with a smile.

"No, no, how dare I." Cheng Nuo smiled bitterly and waved his hands again and again, "You know, Tsinghua University is not much more relaxed than high school, it's not that I don't want to visit, I really can't spare time."

"It's okay, it's okay." Another math group teacher said, "Lao Zhang, this fellow just sees that you, the college entrance examination champion, was not taught by him. He has a deep resentment. You are here to find Lao Tang, right, he is now Just in your original 18th class classroom to give students Orsay counseling."

"Then teachers~www.NovelMTL.com~I..."

"Go, go, I don't know what kind of blessing the old Tang guy has cultivated in his life and taught you such a good student." Amidst Teacher Zhang's laughter, Cheng Nuo closed the door and walked out of the math group office.

Since Cheng Nuo had only 16 classes in his third year of high school, that is, Cheng Nuo's second year of high school in his third year of high school, the original high school 38 class classroom became a math competition tutoring classroom. And because Lao Tang has trained Cheng Nuo as a champion in the college entrance examination, and his own mathematics is really sufficient, he became the tutor of this competition.

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

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

Not surprisingly, these 30 students will participate in the unified high school math league next year. Then the first prize winners 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 had not participated in IMO, and had not even coached in competitions like this. This is no small regret for Cheng Nuo. I just don't know if any of my younger brothers and sisters can replace him to win the gold medal in the IMO finals.

Cheng Nuo gently opened the back door of the classroom, touched it quietly, and crept in, found an empty seat in the back row and sat down.

Old Tang on the podium was giving a serious lecture, and he did not notice that there was an extra "student" in the classroom.

Old Tang held a competition guide book and talked freely.

"Next, let’s look at the last question. This is the penultimate question in the second test of the Math League last year. I looked at your test paper and only Chen Gong did it. Let me tell you about this question. ..."

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