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God created integers, and the rest are man-made. Cloned neck

Pure mathematics, in its modern development stage, can be said to be the most primitive creation of human spirit. -Baishihai

Infinite! No other problem has touched the human mind so deeply. -Hilbert

It is found that every new group is mathematical in form, because we can't have other guidance. -Darwin

Give me five coefficients and I'll draw an elephant. Give me six coefficients and the elephant will wag its tail. -Cauchy

If anyone does not know that the diagonal side of a square is an incommensurable quantity, then he is not worthy of the title of owner. -Plato

The incomparable eternity and omnipotence of mathematics and its independent effect on time and cultural background are the direct consequences of its essence. -Ebou

I have heard people say that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished what I have never done. -Goethe

The essence of mathematics lies in freedom. -Cantor

In the field of mathematics, the art of asking questions is more important than the art of answering questions. Cantor numbers rule the universe. Pythagoras

Mathematics, the queen of science; Number theory, the queen of mathematics. ——C？ f？ Gauss

God created integers, and the rest are man-made. ——L？ leopold kronecker

God is a mathematician-jacoby.

A mathematician who is not a poet will never be a complete mathematician. -Wilstes

Pure mathematics, in its modern development stage, can be said to be the most primitive creation of human spirit. -Baishihai

Countable genus rules the whole world of quantity, and four operations can be regarded as all the equipment of mathematicians. Maxwell

Number theory is the oldest branch of human knowledge, but some of his deepest secrets are closely related to his most common truth. A professional who is good at creating with a certain material: goldsmith | wordsmith.

Infinite! No other problem has touched the human mind so deeply. ——D？ Hilbert

It is found that every new group is mathematical in form, because we can't have other guidance. ——C？ g？ Darwin

The great structure of the universe is now beginning to appear as a pure mathematician. ——J？ h？ reflect quietly

This is a reliable rule. When the author of a mathematical or philosophical work writes with vague and abstruse words, he is talking nonsense. ——A？ n？ Huaidehai

Give me five coefficients and I'll draw an elephant. Give me six coefficients and the elephant will wag its tail. ——A？ l？ Cauchy

Pure mathematics is a magician's real wand. Novalis

If anyone does not know that the diagonal side of a square is an incommensurable quantity, then he is not worthy of the title of owner. -Plato

For centuries, the simple combination of integers has been the source of new students in mathematics. ——G？ d？ George David Birkhoff

The more detached a mathematician is, the better-anonymity.

The incomparable eternity and omnipotence of mathematics and its independent effect on time and cultural background are the direct consequences of its essence. ——A？ Ebou

This is a reliable rule. When the author of a mathematical or philosophical work writes with vague and abstruse words, he is talking nonsense. -Ann whitehead.

I have heard people say that I am an opponent and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished what I have never done. -Goethe

Mathematics is the queen of science and number theory is the queen of mathematics. Gauss music can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can impress people, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all of the above. Klein

The essence of mathematics lies in freedom. -Cantor.

In the field of mathematics, the art of asking questions is more important than the art of answering questions. A poet and lead singer

No problem can touch people's emotions as deeply as infinity, and few other concepts can stimulate reason to produce rich ideas as infinity, but no other concepts need to be clarified as infinity. -Hilbert (Hilbert)

Mathematics is an infinite science. Herman Weil

The problem is the core of mathematics. -P.R halmos

As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development. -Hilbert

Some beautiful theorems in mathematics have such characteristics: they are easy to be summarized from facts, but the proofs are extremely profound. Gauss

Philosophers should also study mathematics, because he must jump out of the vast phenomenon and grasp the real essence. ..... and because it is a shortcut for the soul to transition to truth and eternity. -Plato

Gauss (Prince of Mathematics) said, "Mathematics is the king of science."

Russell said, "Mathematics is symbol plus logic."

Pythagoras said, "Numbers dominate the universe."

Halmos said, "Mathematics is a unique art."

Misra said: "Mathematics is the highest achievement of human thinking."

Bacon (English philosopher) said, "Mathematics is the key to science."

Bourbaki School (a French mathematical research group) holds that "mathematics is a theory to study abstract structures".

Hegel said: "Mathematics is the symbol that God describes nature."

Oscar Wilde (president of the American Mathematical Society) said: "Mathematics is a culture that will continue to evolve."

Plato said, "Mathematics is the highest form of all knowledge."

Court said: "Mathematics is the brightest pearl in the crown of human wisdom."

Descartes said: "Mathematics is the tool of knowledge and the source of other knowledge tools. All the sciences that study order and measurement are related to mathematics. "

Engels (philosopher of dialectics of nature) said: "Mathematics is mathematics that studies the quantitative relationship and spatial form in real life.

Klein (American mathematician) said: "Mathematics is a rational spirit, which enables human thinking to be applied to the most perfect degree."

Galileo said, "Give me space, time and logarithm, and I can create a universe." Newton said, "Without bold guesses, great discoveries are impossible." Halmos said, "The creation of mathematics can never be realized by inference alone. First, it's usually some vague guesses, trying to figure out the possible promotion, and then drawing an uncertain conclusion. Then sort out the train of thought until you see the clues of the facts, and it often takes a lot of effort to put everything into logical proof. This process cannot be accomplished overnight. It is common to experience many failures and setbacks, guess and imitate again and again, and spend a few months in temptation. "

Laplace said: "In mathematics, the main tools for us to find truth are induction and simulation."

Wittgenstein said: "Mathematics is all kinds of proof skills."

Hua said: "New mathematical methods and concepts are often more important than solving mathematical problems themselves."

Napier said: "I always try my best to get rid of that heavy and monotonous calculation."

Kepler said, "Pursuing that goal in the best time of my life ... the book has been written. It doesn't matter whether modern people read it or future generations read it. It may take a hundred years to have readers. "

Napoleon said: "Only by vigorously developing mathematics can a country show its national strength. The development and perfection of mathematics is closely related to the prosperity of the country. "

Eight-year-old Gauss discovered mathematical theorems.

The famous German scientist Gauss (1777 ~ 1855) was born in a poor family. Gauss learned to calculate by himself before he could speak. When he was three years old, he watched his father calculate his salary one night and corrected his father's calculation mistakes.

When he grew up, he became the most outstanding astronomer and mathematician of our time. He made some contributions to physics electromagnetism, and now a unit of electromagnetism is named after him. Mathematicians call him "the prince of mathematics".

He entered a rural primary school at the age of eight. The teacher who teaches mathematics is from the city. He feels that teaching a few little lynx in remote places is really overqualified. Moreover, he has some prejudices: children from poor families are born fools, and there is no need to teach these stupid children to study hard. If there is an opportunity, they should be punished to add some fun to this boring life.

This day is a depressing day for the math teacher. The students cringed when they saw the teacher's depressed face, knowing that the teacher was going to arrest these students again today and punish them.

"You calculate for me today, from 1 plus 2 plus 3 to 100. Whoever can't figure it out will be punished for not going home for lunch. " The teacher said this, picked up a novel, sat in a chair and read it without saying a word.

The children in the classroom picked up the slate and began to calculate: "1 plus 2 equals 3, 3 plus 3 equals 6, 6 plus 4 equals10 …" Some children added a number to the slate and then erased the result. After adding it, the number is getting bigger and bigger, which is difficult to calculate. Some children's little faces turned red, and some children's palms and foreheads oozed sweat.

Less than half an hour later, little Gauss picked up the slate and stepped forward. "Teacher, is this the answer?"

Without looking up, the teacher waved his thick hand and said, "Go, go back!"! Wrong. " He thought it impossible to have an answer so soon.

But Gauss stood still and put the slate in front of the teacher: "Teacher! I think this answer is correct. "

The math teacher wanted to shout, but when he saw the number written on the slate: 5050, he was surprised because he calculated it himself and got the number of 5050. How did this 8-year-old child get this value so quickly?

Gauss explained a method he discovered, which was used by the ancient Greeks and China people to calculate the sequence1+2+3+…+n. Gauss's discovery made the teacher feel ashamed, and felt that his previous view of being arrogant and belittling poor children was wrong. He also taught seriously in the future, and often bought some math books from the city for his own study and lent them to Gauss. With his encouragement, Gauss later did some important research in mathematics.

For the prosperity of the Chinese nation-Su's story.

Su Yu 1902 was born in a mountain village in Pingyang County, Zhejiang Province in September. Although the family is poor, his parents scrimp and save, and they have to work hard to pay for his education. When he was in junior high school, he was not interested in mathematics. He thinks mathematics is too simple, and he will understand it as soon as he learns it. It can be measured that a later math class influenced his life.

That was when Su was in the third grade. He was studying in No.60 Middle School in Zhejiang Province. Teacher Yang teaches mathematics. He has just returned from studying in Tokyo. In the first class, Mr. Yang didn't talk about math, but told stories. He said: "In today's world, the law of the jungle, the world powers rely on their ships to build guns and gain benefits, and all want to eat and carve up China. The danger of China's national subjugation and extinction is imminent, so we must revitalize science, develop industry and save the nation. Every student here has a responsibility to' rise and fall in the world'. " He quoted and described the great role of mathematics in the development of modern science and technology. The last sentence of this class is: "In order to save the country and survive, we must revitalize science. Mathematics is the pioneer of science. In order to develop science, we must learn math well. "I don't know how many lessons Sue took in her life, but this lesson will never be forgotten.

Teacher Yang's class deeply touched him and injected new stimulants into his mind. Reading is not only to get rid of personal difficulties, but to save the suffering people in China; Reading is not only to find a way out for individuals, but to seek a new life for the Chinese nation. That night, Sue tossed and turned and stayed up all night. Under the influence of Teacher Yang, Su's interest shifted from literature to mathematics, and since then, she has set the motto "Never forget to save the country when reading, and never forget to save the country when reading". I am fascinated by mathematics. No matter it is the heat of winter or the snowy night in first frost, Sue only knows reading, thinking, solving problems and calculating, and has worked out tens of thousands of math exercises in four years. Now Wenzhou No.1 Middle School (that is, the provincial No.10 Middle School at that time) still treasures a Su's geometry exercise book, which is written with a brush and has fine workmanship. When I graduated from high school, my grades in all subjects were above 90.

/kloc-At the age of 0/7, Su went to Japan to study, and won the first place in Tokyo Technical School, where she studied eagerly. The belief of winning glory for our country drove Su to enter the field of mathematics research earlier. At the same time, he has written more than 30 papers, and made great achievements in differential geometry, and obtained the doctor of science degree in 193 1. Before receiving her doctorate, Su was a lecturer in the Department of Mathematics of Imperial University of Japan. Just as a Japanese university was preparing to hire him as an associate professor with a high salary, Su decided to return to China to teach with his ancestors. After the professor of Zhejiang University returned to Suzhou, his life was very hard. In the face of difficulties, Su's answer is, "Suffering is nothing, I am willing, because I have chosen the right road, which is a patriotic and bright road!" "

This is the patriotism of the older generation of mathematicians.

Determined to save the country by science since childhood —— The story of Xiong Qinglai.

Xiong Qinglai (1893- 1969), a native of Mile County, Yunnan Province, was a pioneer of modern mathematics in China and made outstanding contributions to the development of mathematics in China.

Xiong Qinglai's father Xiong Guodong is proficient in Confucianism, but he prefers new learning. He is very open-minded and has a great influence on Xiong Qinglai. As a teenager, Xiong Qinglai often heard about Sun Yat-sen's democratic revolution from his father, which planted the seeds of patriotism in his childhood.

1907, Xiong qinglai was admitted to Kunming Yunnan dialect school and soon went to Yunnan higher education school. At that time, the Manchu dynasty was dying, and anti-Qing struggles were surging everywhere. Anti-donation, anti-tax, strike, strike and mutiny spread all over the country, and the Qing government was caught in a storm. Xiong Qinglai was punished by the school for participating in the anti-French and anti-Qing demonstrations of "recovering mining rights". Xiong Qinglai, named after his real life and struggle, realized that to make the country rich and strong, he must master science, and science can make the country rich and strong.

19 13, Xiong Qing went to study in Europe. 19 14. When World War I broke out, he moved from Belgium to Paris, France via the Netherlands and Britain. In the past eight years, he has successively obtained certificates in advanced mathematics, mechanics and astronomy, and obtained a master's degree in science. 192 1 year, 28-year-old Xiong Qinglai returned to China, bent on applying what he had learned to save the people in from the mire. 1in June, 949, the reactionary Kuomintang government took advantage of Xiong qinglai's attendance at an international conference in Paris and dissolved Yunnan university, which Xiong qinglai painstakingly managed in 12. Xiong Qinglai, who is nearly sixty years old, decided to stay in France to continue the study of function theory with the feeling that his ambition is hard to pay and there is no way to serve the country.

"... the motherland welcomes you and the people welcome you! Welcome you back to the great cause of socialist construction ... "1In April 1957, Premier Zhou wrote to Xiong Qinglai to mobilize him to return home. In June of the same year, after completing the monograph on function theory, Xiong Qinglai resolutely set out and returned to the embrace of the motherland. He expressed his willingness to devote himself to the academic construction of the motherland in accordance with the requirements of socialism. In the seven years after returning to China, he published nearly 20 world-class mathematical papers in academic magazines at home and abroad. It has also trained a number of mathematical talents such as Yang Le and Zhang Guanghou, winning glory for the motherland, showing the childlike innocence of the 70-year-old man who loves the motherland.

1969, Mr. Xiong Qinglai, a great master and mathematician, passed away. Before he died, he said that he would do his best for the people and die.

1. Xiaohua's father can cut off five of his own nails in 1 minute. How many nails can he cut in five minutes?

Xiaohua took 50 yuan's money to the store and bought a car worth 38 yuan, but the salesman only gave him 2 yuan money. Why?

Xiaojun said: "I went fishing yesterday and caught a tailless fish, two headless fish and three half-baked fish." Guess how many fish I caught? " Students, guess how many fish Xiaojun caught?

4.6 horses and a cart ran six miles. How many miles did each horse run? How many miles did six horses run at a time?

5. A puppy tied to a tree trunk greedily eats a bone on the ground, but the rope is not long enough, which is 5 cm shorter. How do you teach dogs to scratch bones?

6. Wang walks from place A to place B. 1 minute later, Li walks from place B to place A. When Wang and Li meet on the road, who is farther from A?

7. The clock just struck 13. What should you do now?

8. On the vast grassland, there is a cow eating grass. This Niu Yi only ate half of the grass on the grassland in 2008. Q: How many years does it take to eat all the grass on the lawn?

9. Mom has seven pieces of candy. She wants to give them to the three children equally, but she doesn't want to cut the remaining candy. What should mom do?

10. There is a row of trees along the road in the park, and the distance between each tree is 3 meters. What is the distance between the first tree and the sixth tree?

1 1. Divide 8 in half, as shown below. How much is each half? The average score of arithmetic method is _ _ _ _ points, from which the horizontal score is _ _ _ _ points, and from which the vertical score is _ _ _ _ _ points.

12. A house has four corners, one corner has a cat, and there are three cats in front of each cat. How many cats are there in the room?

13. The house has four corners. There is a cat in a corner. There are four cats in front of each cat. How many cats are there in the room?

14. Xiaojun, Xiaohong and Xiaoping play chess. They always play three sets. Ask them how many games they played. (Every chess game is played by two people)

Chungchi Tsu

Zu Chongzhi (AD 429-500), a native of Laiyuan County, Hebei Province, was an outstanding scientist in the Southern and Northern Dynasties. He is not only a mathematician, but also familiar with astronomical calendar, machinery manufacturing, music and other fields, and is an astronomer.

Zu Chongzhi's main achievement in mathematics is the calculation of pi, which is 3. 14 15926.

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