Mathematician's childhood story-Gauss once heard a story in his impression: Gauss is a second-grade primary school student. One day, his math teacher wanted to finish it because he had handled more than half of the things. Therefore, he intends to give students a math problem to practice. His topic is: 1+2+3+4+5+6+7+8+9+60. Because addition has just been taught for a long time, the teacher thinks it will take a long time for students to work it out, so that they can use this time to deal with unfinished things. But in the blink of an eye, Gauss had stopped writing and sat there doing nothing. The teacher was very angry and scolded Gauss, but Gauss said he had worked out the answer, which was 55. The teacher was shocked and asked how Gauss worked it out. I just found that the sum of 1 and 10 is the sum of1,2 and 9, 1 1, 3 and 8, 1 1, 4 and 7. And11+1+1+1+11= 55, which is how I calculated it. Gauss became a great mathematician when he grew up. When Gauss was young, he could turn difficult problems into simple ones. Of course, qualification is a big factor, but he knows how to observe, seek the law, simplify the complex, and is worth learning and emulating. 2. Archimedes by the Sea 2005-5-2918: 21:39 Source: China After-school Education Network Resources Reading 5 17 times Archimedes left his parents at the age of1/KLOC-0 to study in Alexandria, one of the largest cities in ancient Greece. At that time, Alexandria was a world-famous trade and cultural exchange center, and the library in the city was extremely rich in books, which deeply attracted the hungry Archimedes. At that time, books were bound with sheepskin, and sedge stems were sliced and flattened as paper. Tie it up, glue it into a big sheet and roll it on a round stick. At that time, before printing was invented, books were copied word by word, which was very valuable. Archimedes didn't have a pen and paper, so he memorized the theorems and formulas he learned from books bit by bit in his mind. Archimedes studied mathematics and needed to draw pictures, deduce formulas and calculate. Without paper, he used branches as pens and the ground as paper. Because the ground was too hard to read the handwriting clearly, Archimedes struggled for several days and invented a kind of "paper". He scraped the ash out, spread it evenly on the ground, and then calculated it on it. But sometimes when the weather is bad and the wind blows, this kind of "paper" flies. One day, Archimedes came to the seaside for a walk. As he walked, he thought about math problems. On the endless beach, the soft sand grains spread evenly under your feet and extend into the distance. He used to squat down and pick up a shell on the beach to calculate, which was good and convenient. When Archimedes returned to his residence, he excitedly told his friends, "The beach, I found that the beach is the best place to study. It is so vast and quiet that your mind can fly far away, just like a seagull flying on the sea. " The magical beaches and vast oceans give people wisdom and strength. Since then, Archimedes likes to walk, think and study on the beach. From childhood at school to the last breath of life. In 2 12 BC, Roman troops captured Archimedes' hometown of Syracuse. At that time, Archimedes, who was 75 years old, was absorbed in studying mathematics on the beach, but he was unaware of the enemy's invasion. When Roman soldiers drew their swords to kill him, Archimedes said quietly, "Give me some time to finish this unsolved problem, so as not to leave an unsolved problem for the world in the future." ? Because of his tireless and diligent study, Archimedes eventually became a great mathematician, physicist, astronomer and inventor in ancient Greece. Later generations called him, Newton, Euler, and Gauss "four outstanding figures in mathematics" and "God of mathematics". China mathematician Hua said: "Genius lies in accumulation. Cleverness lies in diligence. " Facing the sea of knowledge, people should, like Archimedes, take faith as a compass, persevere, forge ahead, pursue unremittingly and explore for life. Sail and sail! 3, chess inventor's remuneration 2004-11-231:40: 32 from "The Rise and Fall of Several Seas-Selected Topics of World Mathematics" Author: read 4 19 times. This is an ancient legend in India, she The wise minister seems to have little appetite. He knelt before the king and said, "Your Majesty, please give me one wheat in the first box, two in the second box and four in the third box." . If this continues, each compartment will be twice as big as the previous one. Your majesty, give all 64 grains of wheat on the chessboard to your servant like this! Aiqing, you don't ask much. The king said with joy that he would not spend too much money on such a great invention to fulfill his promise. Of course you will get what you want, "the king ordered to pay Dahir in full. The work of counting wheat grains has begun. There are 1 grain in the first unit, 2 grains in the second unit and 2' grains in the third unit ... Before the twentieth cell, a bag of wheat was empty. Bags of wheat were sent to the king. However, the number of wheat grains increased rapidly one after another, and the king soon saw that even if he had all the food in India, he could not fulfill his promise to Dahl. At first, the total number of wheat grains needed was1+2+22+23+24+...+263 = 264-1=1844674073709551665438+How many wheat are there? For example, if you build a warehouse to store these wheat, the warehouse is 4 meters high and 10 meters wide, then the length of the warehouse is equal to twice the distance from the earth to the sun. It takes two thousand years for the world to produce so much wheat. Although Xie Hanwang of India is rich, he can't get so much wheat. In this way, She Hanwang owed a large debt to the Prime Minister. Either put up with Doyle's endless debt collection or cut off his head. What is the result? Unfortunately, it is not recorded in the history books. From this story, it is not difficult to see that ancient India has made considerable research on equivalence ratio series. The problem of "chess inventor's remuneration" similar to India has also appeared in other countries. /kloc-At the beginning of the 8th century, the problem of "selling horses" in Magney's arithmetic was similar to "the remuneration of chess inventors", which had the same effect. The original title of "Selling Horses" is as follows: Someone sold a horse and got 156 rubles. But the buyer repented after buying the horse and wanted to return it to the seller. He said the horse was not worth so much money at all. So the seller put forward another plan to calculate the price of the horse to the buyer, saying, if you think Ma Xiugui is expensive, buy the nails on the horseshoe and the horse will be given to you for nothing. There are six nails on each horseshoe. The first nail only needs 1/4 kopeck (1 ruble equals 100 kopeck), the second one needs half kopeck, and the third one needs one kopeck. The price of each nail in the future depends on this spine. The buyer thought that the total value of nails would not cost 10 rubles, and he could get a good horse without spending money, so he readily agreed to Ding. As a result, the buyer realized that he had been cheated when he checked out. How much will the buyer lose in this transaction?
The mathematician's story-Su 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, Sue's answer is, "Suffering is nothing, I am willing, because I have chosen a correct road, which is a patriotic and bright road! "This is the patriotism of the older generation of mathematicians (1596- 1650), a French philosopher, mathematician and physicist, and one of the founders of analytic geometry. He believes that mathematics is the theory and model of all other sciences, and puts forward a methodology based on mathematics and centered on deduction, which is a philosophy left to future generations. The development of mathematics and natural science has played a great role. Descartes analyzed the advantages and disadvantages of geometry and algebra, and showed that he wanted to find a method that included the advantages of these two sciences without their disadvantages. This method is to study the geometric problem-analytic geometry by algebraic method. Geometry confirmed Descartes' position in the history of mathematics, and geometry put forward the main ideas and methods of analytic geometry, marking the birth of analytic geometry. Sigmund called it a turning point in mathematics, and later mankind entered the stage of variable mathematics. Descartes also improved the Vedic symbols. He used A, B, C ... to represent known numbers, and X, Y, Z ... to represent unknown numbers, creating symbols such as "=" and ",",which are still used by Descartes in physics. The adoption rate of oblique answers:14.3% 2009-01-26 09: 29 You have already evaluated it! Ok: 14 You have already evaluated it! Bad: 1 1 von Neumann, one of the most outstanding mathematicians in the 20th century. As we all know, the electronic computer invented by 1946 has greatly promoted the progress of science and technology and social life. In view of von Neumann's key role in the invention of electronic computers, he is called "the father of computers" by westerners. From 19 1 1 to 192 1, von Neumann got ahead when he was studying in Lu Se Lun Middle School in Budapest, and was highly valued by teachers. Under the individual guidance of Mr. Fichte, von Neumann published his first mathematical paper in cooperation. The influence of family makes Galois always brave and fearless. 1823, 12-year-old galois left his parents to study in Paris. Not content with boring classroom indoctrination, he went to find the most difficult mathematics original research by himself. Some teachers also helped him a lot. Teachers' evaluation of him is "only suitable for working in the frontier field of mathematics". Archimedes was born in Syracuse, Sicily, at the southern tip of the Italian peninsula in 287 BC. Father is a mathematician and astronomer. Archimedes had a good family upbringing since childhood. 1 1 years old, was sent to study in Alexandria, the cultural center of Greece. In this famous city known as the "Capital of Wisdom", Archimedes Job collected books and learned a lot of knowledge, and became a protege of Euclid students erato Sese and Cannon, studying geometric elements. Zu Chongzhi's outstanding achievement in mathematics is about the calculation of pi. Before the Qin and Han Dynasties, people used "the diameter of three weeks a week" as pi, which was called "Gubi". Later, it was found that the error of Gubi was too large, and the pi should be "the diameter of a circle is greater than the diameter of three weeks". However, there are different opinions on how much is left. Until the Three Kingdoms period, Liu Hui put forward a scientific method to calculate pi-"secant" which approximated the circumference of a circle with the circumference inscribed by a regular polygon. Liu Hui calculated the circle inscribed with a 96-sided polygon and got π=3. 14, and pointed out that the more sides inscribed with a regular polygon, the more accurate the π value obtained. On the basis of predecessors' achievements, Zu Chongzhi devoted himself to research and repeated calculations. It is found that π is between 3. 14 15926 and 3. 14 15927, and the approximate value in the form of π fraction is obtained as the reduction rate and density rate, where the six decimal places are 3. 14 1929. There's no way to check now. If he tries to find it according to Liu Hui's secant method, he must work out 16384 polygons inscribed in the circle. How much time and labor it takes! It can be seen that his tenacious perseverance and intelligence in academic research are admirable. Foreign mathematicians have obtained the same result from Zu Chongzhi's calculation, which is more than 1000 years ago. In order to commemorate Zu Chongzhi's outstanding contribution, some mathematicians abroad suggested that π = be called "ancestral rate". Born in 624 BC, Ju Lushi was the first great mathematician in ancient Greece. He used to be a shrewd businessman. After he accumulated considerable wealth by selling olive oil, Cyrus devoted himself to scientific research and travel. He is diligent and studious, at the same time, he is not superstitious about the ancients, and he is brave in exploration, creation and positive thinking. His hometown is not too far from Egypt, so he often travels to Egypt. There, Ju Lushi learned about the rich mathematical knowledge accumulated by ancient Egyptians for thousands of years. When he traveled in Egypt, he calculated the height of the pyramids in a clever way, which made the ancient Egyptian king Amerasis admire him very much.