Hua Luogeng couldn t help but look dumbfounded when he pondered the math problem

This is into the gods, wise and foolish.

Hua Luogeng couldn't help but look dumbfounded when he pondered the math problemAt the counter, he was doing math problems, and when customers came to ask for the price of the pen, he misreported the huge number he had calculated; Under the oil lamp, he did math problems, and the snot remained, but he didn't know it; In the cold winter, he did math problems, and his hands were frozen and he continued to calculate; In the sweltering heat, he did math problems and wrote sweaty, completely ignoring them.

The story of Hua Luogeng's childhood.

Hua Luogeng was born in a family that set up a grocery store and was frail and sickly since he was a child, but with his strong perseverance and noble pursuit, he finally became a generation of mathematics masters

When he was a teenager, Hua Luogeng was particularly fond of mathematics, but his mathematical achievements were not outstanding When he was 19 years old, an excellent article alarmed the famous mathematician Xiong Qinglai at that time Since then, under the guidance of Mr. Xiong Qinglai, he has embarked on the road of studying mathematics In his later years, for the sake of national economic construction, he popularized and applied pure mathematics to industrial and agricultural production, and fought for the cause of the motherland's construction for life! Grandpa Hua carefully cultivated the younger generation, let young mathematicians thrive and make them stand out, and did not forget to write some popular science books for young friends in his spare time

The following is an interesting math game that Grandpa Hua Luogeng once introduced to his classmates: There is a teacher who wants to identify which of his 3 students is smarter He uses the following method: prepare 3 white hats and 2 black hats in advance, let them see them, and then ask them to close their eyes, put on their hats respectively, hide the remaining 2 hats, and finally, ask them to open their eyes, look at other people's hats, and say the color of their hats The 3 students looked at each other and hesitated for a while. and said in unison that he was wearing a white hat.

Clever little readers, think about it, how do they know the color of the hat? In order to solve the above problem, let's first consider the problem of "2 people with 1 black hat, 2 white hats" Because, there is only 1 black hat, and I wear it, and the other party will immediately say that he is wearing a white hat But he hesitated for a while, and it can be seen that I am wearing a white hat In this way, the problem of "3 people with 2 black hats, 3 white hats" is easy to solve Suppose I am wearing a black hat, then the two of them become "2 people with 1 black hat, 2 white hats" question, they can answer it immediately, but they both hesitated for a while, which means that I was wearing a white hat, and all three of them thought about it in the same way, so they all came out that they were wearing white hats See here. Later, Grandpa Hua also complicated the original problem, how to solve the problem of "n people, n-1 black hats, and several (no less than n) white hats"?

Using the same method, we can easily solve it He also warned us that we should be good at "retreating" complex problems, and "retreating" enough to "retreat" to the most primitive place without losing their importance is a trick to learning mathematics well

He said, "How do you learn to learn?" I think that when you study every question and chapter in a book, you should first see not only what is written, but also what is behind the book. When we study certain principles, laws, and formulas in books, we should not only remember their conclusions and understand their principles, but also imagine how people came up with them, how many twists and turns, and how many keys they overcame before we came to this conclusion.

At the same time, I might want to think about how I would have come to this conclusion if I had not come to a conclusion in the book. That is to say, reading is not only to know what it is, but also to know why it is so; It is important not only to understand the conclusions, but also to understand how they came about. Ordinary people are prone to impatience when learning, pick up a book, read it in a few clicks, but actually do not understand it, and only when applying it do they find that they have eaten raw rice and cannot use it freely.

Learning should be like what Hua Luogeng said, make a few more assumptions, search deeply, and find out what is "behind" the book. This kind of learning is slower, but it can get good results.

Hua Luogeng also advocated that there should be two processes in learning: one is the process of "from thin to thick", and the other is the process of "from thick to thin". The former refers to learning in small increments, which is only the first step in the learning process.

If you stay at this stage, you won't make great progress in learning. The important thing is the second step, that is, on the basis of "from thin to thick", it must be returned, "from thick to thin".

Calculating, constantly overcoming difficult problems, his drafts have more than 10 square meters of room as many sacks.

That's the lesson you learned!

Usually, as soon as the customer who has finished buying the goods leaves, he buries his head in reading books and calculus. There was no paper, so he used waste paper wrapped in cotton to write and solve problems. When he was fascinated, the snot flowed down, and he didn't know it, and he kept counting and writing.

When night fell, he put the door panel on the small shop, ate a few bites of food, and hurriedly lit the small oil lamp, and continued to study mathematics. In the cold winter, he still read and wrote until late at night, and his hands and feet were so cold and stiff that he didn't care about it; In the hot season, the house was as hot as a steamer, and he still sweated like rain and read books, constantly calculating. After dropping out of school, he insisted on self-study for more than 10 hours a day throughout the year, sometimes sleeping only 4 hours a day.

You can also take a look here.

Do the questions seriously, plus good books.

………Hobbies + perseverance and hard work.

Hua Luogeng, a world-renowned mathematician, is the founder and pioneer of Chinese analytic number theory, matrix geometry, canonical groups, self-safety function theory and other researches. He was born on November 12, 1910 in Jintan County, Jiangsu, China, and died on June 12, 1985 in Tokyo, Japan. The mathematical research achievements named after Fahrenheit in the world include "Fahrenheit's theorem", "Wyyi-Wah inequality", "Fahrenheit inequality", "Prouwer-Cadanhua theorem", "Fahrenheit operator", "Whith-Wang method" and so on.

Hua Luogeng - the mathematical genius in the basket.

Hua Luogeng (1910-1985), a native of Jintan, Jiangsu, was a famous mathematician. In 1930, he published the mathematics that shocked the world's mathematical circles, "The Reason for the Untenable Solution of the Fifth Equation of Su Jiaju's Algebra". In 1950, he was appointed professor at Tsinghua University.

Under the Qinghe Bridge in Jintan County, Jiangsu, there is a small grocery store, and the owner Hua Laoqiang is an honest and honest vendor. On November 12, 1910, Hua Laoqiang had just returned from buying silkworm cocoons outside, and the midwife came to say hello

Congratulations, happy son! And he took his chubby son before him.

Hua Lao Qiang said happily: "You little guy is really here, your father still dreamed of you last night!" ”

As he spoke, he took his son and put it in the basket, and put another basket on it, and said to himself:

Enter the basket to avoid evil, the same age as Geng, and give you an auspicious name, just call Luo Geng. ”

The child in this tattered basket is the well-known mathematician Hua Luogeng.

In a blink of an eye, Hua Luogeng was already a second-year junior high school student. One day, the math teacher said to the students:

Today, I will give you a difficult problem to see who can solve it first. The students all opened their eyes and pricked up their ears.

Today, there are things that do not know their number, the remaining two of the three or three numbers, the remaining three of the five or five numbers, and the remaining two of the seven or seven numbers. The teacher shook his head and read the puzzle out of the way.

Teacher, the number is 23. Hua Luogeng immediately stood up.

The teacher asked in surprise, "Do you know Han Xin's soldiers?" ”

I don't know. "Hua Luogeng is honest.

The teacher explained to everyone: "This is a problem in ancient mathematics in China, and foreign textbooks name it 'Chinese Remainder Theorem' also called 'Sun Tzu's Theorem'. The students listened attentively one by one, and after the teacher finished speaking, they set their eyes on Hua Luogeng.

Hua Luogeng, can you tell you how you calculated it? ”

A number, 3 divided by 2, 7 divided by 2, then it must be 21 plus 2, 21 plus 2 equals 23, exactly 5 divided by 3. ”

After listening to Hua Luogeng's explanation, the teacher nodded and looked at him with approval.

Yes, the analysis makes sense, do you understand? The classmates all nodded.

After class, everyone discussed, "I didn't expect Luo Geng to solve the problem." ”

Look at his usual grades, don't you do well! ”

Hua Luogeng was silent, only he knew that in order to learn every homework well, he would forget to eat and sleep, which was the result of hard work.