From one to one hundred
Gauss has many interesting stories, and the first-hand information of these stories often comes from Gauss himself, because he always likes to talk about his childhood in his later years. We may doubt the truth of these stories, but many people have confirmed what he said.
Gauss's father works as a foreman in a tile factory. He always pays his workers every Saturday. When Gauss was three years old in the summer, when he was about to get paid, Little Gauss stood up and said, "Dad, you are mistaken." Then he said another number. It turned out that three-year-old Gauss was lying on the floor, secretly following his father to calculate who to pay. The results of recalculation proved that little Gauss was right, which made the adults standing there dumbfounded.
Gauss often joked that he had learned to calculate before he learned to speak, and often said that he learned to read by himself only after consulting adults about the pronunciation of letters.
At the age of seven, Goss entered St. Catherine's Primary School. When I was about ten years old, my teacher had a difficult problem in arithmetic class: "Write down the integers from 1 to 100 and add them up! Whenever there is an exam, they have this habit: the first person who finishes it puts the slate face down on the teacher's desk, and the second person puts the slate on the first slate, thus falling one by one. Of course, this question is not difficult for people who have studied arithmetic progression, but these children are just beginning to learn arithmetic! The teacher thinks he can have a rest. But he was wrong, because in less than a few seconds, Gauss had put the slate on the lecture table and said, "Here's the answer! Other students added up the numbers one by one, sweating on their foreheads, but Gauss sat quietly, ignoring the contemptuous and suspicious eyes cast by the teacher. After the exam, the teacher checked the slate one by one. Most of them were wrong, so the students were whipped. Finally, Gauss's slate was turned over and there was only one number on it: 5050 (needless to say, this is the correct answer. The teacher was taken aback, and Gauss explained how he found the answer:1+100 =1,2+99 =10/,3+98 =/kloc-. A * * * has 50 pairs, and the sum is 10 1, so the answer is 50 × 10 1 = 5050. It can be seen that Gauss found the symmetry of arithmetic progression, and then put the numbers together in pairs, just like the general arithmetic progression summation process.
For more information, you can pay attention to the story of Gauss, a mathematician of Science High Score Network.
(2) the mathematician gauss's short stories.
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.
③ The story of mathematician Gauss.
The task assigned by primary school teachers: the sum of natural numbers from 1 to 100 takes a short time to calculate. The method he used was: sum 50 pairs of sequences constructed as sum101(1+100, 2+99, 3+98 ...) and get the result: 5050. This year, Gauss was 9 years old.
When I was a child, Gauss's family was poor, and his father found it useless to study, but Gauss still liked reading. It is said that when he was a child, his father would tell him to go to bed after dinner in winter to save fuel, but when he went to bed, he would hollow out the inside of the radish and put it into a cotton roll, and then continue reading when the lamp was on.
When Gauss 12 years old, he began to doubt the basic proof in element geometry. When he was 16 years old, it was predicted that a completely different geometry would be produced outside Euclidean geometry, that is, non-Euclidean geometry. He derived the general form of binomial theorem, successfully applied it to infinite series and developed the theory of mathematical analysis.
(3) mathematician gauss story extended reading:
Major achievements:
In 1930s, Gauss invented the magnetometer. He quit his job at the observatory to study physics. He cooperated with Weber (1804- 189 1) in the field of electromagnetism.
He is 27 years older than Webb, and he is a teacher-friend relationship. 1833, he sent a telegram to Weber through a magnetic compass. This is not only the first telephone and telegraph system between Weber Laboratory and the Observatory, but also the first telephone and telegraph system in the world. Although the line is only 8 kilometers long.
1840, he and Weber drew the world's first map of the earth's magnetic field, and determined the positions of the earth's magnetic south pole and magnetic north pole. The following year, American scientists confirmed these views.
Gauss studied several fields, but only published what he thought was mature. He often told his colleagues that his conclusion had been proved by himself before, but it was not published because of the incompleteness of the basic theory. Critics say he did it because he likes to steal the limelight. In fact, Gauss recorded all his research results.
After his death, 20 notes recording his research results and thoughts were found, which proved that what Gauss said was true. It is generally believed that 20 notes are not all the notes of Gauss.
Libraries in Lower Saxony and the University of G? ttingen have digitized all Gauss's works and put them on the Internet.
The portrait of Gauss was printed on 10 yuan Deutsche Mark paper money, and the circulation time ranged from 1989 to 200 1.
④ 50-word short stories by Gauss mathematicians.
It has become an anecdote that Gauss was able to correct his father's debt account when he was three years old. He once said that he learned to calculate on Macon's pile of things. Being able to perform complex calculations in his mind is a gift from God for his life.
Goss started school at the age of 7. /kloc-at the age of 0/0, he entered the math class, which was the first class established. Children have never heard of such a course as arithmetic before. The math teacher is Butner, who also played a certain role in the growth of Gauss.
3. 1796 years old, Gauss 19 years old, he discovered the regular drawing method of regular heptagon, and solved an unsolved problem since Euclid. In the same year, the law of quadratic reciprocity was published and proved. This is his masterpiece, which has been proved in eight aspects in his life and is called "Huang Jinlv".
4. 1799, Gauss completed his doctoral thesis and obtained a doctorate from Helmstatt University, and returned to his hometown of Bren-Zwick. Although his doctoral thesis was successfully passed, he was awarded a doctorate and obtained a lecturer position, but he failed to attract students, so he had to go back to his hometown-the duke gave a helping hand again.
5. 1833, Gauss pulled an 8,000-foot-long wire from his observatory, passed through the roofs of many houses, and reached Weber's laboratory. Using Volt battery as power supply, he built the world's first telegraph.
(4) mathematician gauss's story extension reading:
1809, Gauss's first wife, johanna Osthoff, died young, and his child, Louis, also died, which eclipsed his personal life. Gauss fell into a melancholy abyss, and he never fully recovered. Later, he remarried a friend of his first wife. Her name was frederica Wilhelmin Waldeck, but she was usually called Mina.
When his second wife died in 183 1 after a long illness, one of his daughters Therese took over the whole family and took care of Gauss until the end of her life. His mother lived in his house from 18 17 until 1839 died.
Gauss has six children. Of all Gauss' children, Wilhelmina is said to be the closest to his talent, but she died when she was young. Gauss and Ming Na Waldeck also have three children: Eugene (1811896), William (1813–1879) and Therese. Therese took care of the whole family until Goss died and she got married.
Gauss finally clashed with his son. He doesn't want any of his sons to fall into the idea or worry of "being afraid of tarnishing the family reputation" in mathematics or science. Gauss wants Eugene to be a lawyer, but Eugene wants to learn languages. Another dispute between Eugene and Gauss is that Gauss refused to pay for Eugene's party.
Eugene was very angry, so he moved to America around 1832, where he was quite successful. William also settled in Missouri. At first, he was a farmer, and later he became a fairly wealthy shoe-making enterprise in St. Louis. Eugene's success, which took many years, offset his bad reputation among Gauss's friends and colleagues. I also saw a letter from Robert Goss to Felix Klein on September 3rd.
5] What are the stories about the mathematician Gauss?
biography
childhood
Gauss is the son of an ordinary couple. His mother is the daughter of a poor stonemason. Clever as she is, she has no education and is almost illiterate. Before becoming Gauss's father's second wife, she was a maid. His father used to be a gardener, a foreman, an assistant to a businessman and an appraiser of a small insurance company.
It has become an anecdote that Gauss was able to correct his father's debt when he was 3 years old. He once said that he learned to calculate on Macon's pile of things. Being able to perform complex calculations in his mind is a gift from God for his life.
When Gauss was 9 years old, he calculated the tasks assigned by primary school teachers in a short time: the sum of natural numbers from 1 to 100. His method is: sum 50 pairs of sequences with the structure of sum 10 1 to (1+ 100, 2+99, 3+98 ...), and get the result: 5050. However, according to a more detailed history of mathematics, Gauss solved not only 1 plus 100, but 81297+81495+...+100899 (tolerance10)
puberty
When Gauss 12 years old, he began to doubt the basic proof in element geometry. When he was 16 years old, it was predicted that a completely different geometry would inevitably be produced outside Euclidean geometry. He derived the general form of binomial theorem and successfully applied it to infinite series, and developed the theory of mathematical analysis.
Gauss's teacher Brutner and his assistant Martin bartels realized Gauss's unusual talent in mathematics very early, and Herzog Karl willem ferdinand von Brunswick also left a deep impression on this gifted child. Therefore, since Gauss 14 years old, they have sponsored his study and life. This also enabled Gauss to study at Carolyn College (the predecessor of Brunswick College today) in 1792- 1795. /kloc-At the age of 0/8, Gauss transferred to the University of G? ttingen. At the age of 19, he was the first to successfully construct a positive 17 angle with a ruler.
grow up
Gauss married Miss johanna Elizabeth Lin Xiawei Osthoff from Brunswick in 1805 (1780- 1809). On August 2nd1806, Yue Se, the first child in his life, was born. Since then, he has had two more children. Wilhelmin (1809- 1840) and Louis (1809- 18 10). 1807, Gauss became a professor at the University of G? ttingen and director of the local observatory.
Although Gauss is a famous mathematician, it doesn't mean that he loves teaching. Nevertheless, more and more of his students became influential mathematicians, such as Richard Dedekind and Riemann, who founded Riemann geometry.
From 65438 to the early 1940s, Gauss almost completely withdrew from the innovative research of physics, only engaged in routine astronomical observation, calculated the problems left over from Hanover geodetic work, and made some modifications to the old research topics, and made comments or reports. Solve some small math problems. Later publications reflected his status. There is no strong reaction to E.E. Cuomo's new idealism (1845), and he is indifferent to the discovery of Neptune (1846). C.g. Jacoby is attending the commemoration of Dr. Gauss's degree. It took several years to put the budget of the University Widowed Foundation on a reliable statistical basis. His interest in teaching is also stronger than before. (We noticed that most of the classes that Gauss taught in the university were about astronomy. Only in his first year as a professor did he talk about number theory once. His most frequent class was least square method and its application in science. ) Gauss in his later years is a miracle of science in the eyes of people outside the academic circle. Gauss himself is extremely keen on collecting all kinds of statistical data from newspapers, books and daily life. 1848 during the revolution, he went to the reading room attached to the literary society established by the old school (Gauss was a member) almost every day to find all kinds of materials. If the newspaper a student is reading is what he is looking for, Gauss will stare at him until the other party hands him the newspaper. Therefore, it was nicknamed "reading room tyrant" by students. It is said that this habit is of great benefit to his investment activities (mainly buying bonds, including bonds issued outside Germany), and his property left behind is almost 200 times his annual salary, which shows that he is an excellent financial manager.
In the last few years of his life, Gauss was still a scholar and never stopped reading and participating in academic activities within his power:
1850, aggravated heart disease, limited mobility.
There was a solar eclipse on July 185 1 day, and Gauss made his last astronomical observation.
185 1 year, Dr. G.F.B Riemann's thesis was approved and received rave reviews.
1852, Foucault pendulum was improved to solve some small mathematical problems.
1853, Riemann was selected as the defense topic (geometric basis) and obtained the qualification of lecturer.
1854+0 In June, a comprehensive physical examination diagnosed that Gauss's heart had enlarged and was about to die, but his condition was miraculously relieved.
1June, 854, listened to Riemann's defense report on geometric foundation and attended the opening ceremony of the railway from G? ttingen to Hanover.
1August, 854, the condition worsened and both lower limbs became edema.
1On the morning of February 3, 855, Gauss died in his sleep.
Gauss's funeral was attended by * * * and senior university officials, and his son-in-law praised Gauss as a rare and unparalleled genius in his eulogy. Among the mourners was 24-year-old J.W.R Dai Dejin, who adopted the Gauss least square method.
Gauss's brain has many deep gyrus, which are collected as anatomical specimens by the University of G? ttingen.
C.F.Gauss's "On Work" was published for 67 years (1863— 1929). With the participation of many famous mathematicians, it was finally completed under the guidance of F klein. The complete works are divided into 12 volumes. The first seven volumes are basically compiled by subject: the third volume, analysis; The fourth volume, probability theory and geometry; The fifth volume, mathematical physics; Volumes six and seven, astronomy. Other volumes are as follows: Volume 8, Addendum to Arithmetic, Analysis, Probability and Astronomy; Volume 9 is the continuation of volume 6, including geodesy; Volume 10 is divided into two parts: I, articles and diaries about arithmetic, algebra, analysis and geometry, II, comments by other authors on Gauss's work in mathematics and mechanics; Volume 1 1 is also divided into two parts: ⅰ, some articles on physics and astronomy, ⅱ, comments by other authors on Gaussian geodesy, physics and astronomy; 12, Miscellaneous Notes and Geomagnetic Map.
stop
Gauss cemetery: Gauss is very religious and conservative. His father died in April of 1808 and 14, and his first wife, johanna, died in June of 1809 and1. On August 4th of the following year, Gauss married his second wife, Frederick Wilhelmin (1788- 183 1). They also have three children: Eugen (181-kloc-0/896), William (18 13- 1883) and Therese (1883). 183 1 12 In September, his second wife also died. 1837, Gauss began to learn Russian. 1839 On April 8th, his mother died in G? ttingen at the age of 95. Gauss died in G? ttingen on the morning of February 23rd, 1985 1. Many of his discoveries scattered in letters or notes to friends were found in 1898.
Gauss's life is extraordinary, and almost every field of mathematics has his footprints. No wonder later generations often use his deeds and aphorisms to spur themselves. /kloc-In the past 0/00 years, many talented young people have grown into outstanding mathematicians under the influence of Gauss and made great contributions to human culture. Gauss's tombstone is unpretentious, and only the word "Gauss" is engraved. In memory of Gauss, his hometown of Brunswick was renamed Gauss Castle. A memorial statue was erected at the University of G? ttingen, with a positive 17 prism as the base. There is such a poem on the portrait of Gauss hanging in Munich Museum: His thoughts went deep into the mysteries of mathematics, space and nature, he measured the path of stars, the shape of the earth and natural forces, and he promoted the progress of mathematics until the next century.
The story of mathematician gauss.
When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to have a rest, he asked the students to do some calculations. These questions are:
1+2+3+ .....+97+98+99+ 100 = ?
The teacher is thinking, now the children must start class! I used this as an excuse to go out, but Gauss stopped me! ! It turns out that Gauss has worked it out. Little friend, do you know how he did it?
Gauss told everyone how he worked it out: add 1 to 100, and add 100 to 1, adding two lines, that is:
1+2+3+4+ .....+96+97+98+99+ 100
100+99+98+97+96+ .....+4+3+2+ 1
= 10 1+ 10 1+ 10 1+ .....+ 10 1+ 10 1+ 10 1+ 10 1
* * * There are one hundred sums 10 1, but the formula is repeated twice, so the answer is equal to < 5050 & gt.
Since then, the learning process of Gauss Elementary School has already surpassed other students, which laid the foundation for his future mathematics and made him a mathematical genius.
There was once a story about mathematician Gauss, which was 320 words.
The key is the story of building a highway, hurting others 320 times. I don't know that either. Please find a professional to understand.
The story of the mathematician Gauss (he calculated 1+2+3+4. . . . . . +99+ 100 story)!
Gauss's most famous story is that when he was ten years old, the primary school teacher gave an arithmetic problem: "Calculate 1+2+3 …+ 100 =?" . This is difficult for beginners of arithmetic, but Gauss solved the answer in a few seconds. He used the symmetry of arithmetic progression (arithmetic progression) and then put the numbers together like a general arithmetic progression sum: 1+ 100, 2+99, 3+98, ... 49+52.
The story of Gauss, a mathematical genius.
C.F. Gauss is a famous mathematician, physicist, astronomer and geodetic scientist in Germany. Known as the prince of mathematics, he is one of the greatest mathematicians in history, as well as Archimedes, Newton and Euler.
Gauss [1] (Johann Carl Friedrich Gauss) (1April 30, 777-1February 23, 855) was born in Brunswick and died in G? ttingen, a famous German mathematician, physicist, astronomer and geographer. Gauss 1977 was born in a craftsman's family in Brunswick on April 30th, and 1985 died in G? ttingen on February 23rd. When I was a child, my family was poor, but I was extremely smart. I was educated by a noble. From 1795 to 1798, he studied at the University of G? ttingen, transferred from 1798 to the University of Tate, Hemmes, and obtained his doctorate in proving the basic theorem of algebra the following year. From 1807, he served as a professor at the University of G? ttingen and director of the G? ttingen Observatory until his death. Gauss's achievements cover all fields of mathematics, and he has made pioneering contributions in number theory, non-Euclidean geometry, differential geometry, hypergeometric series, complex variable function theory, elliptic function theory and so on. He attached great importance to the application of mathematics, and emphasized the use of mathematical methods in the research of astronomy, geodesy and magnetism. 1792, 15-year-old Gauss entered Brunswick College. There, Gauss began to study advanced mathematics. The binomial theorem, quadratic reciprocity law, prime number theorem and arithmetic geometric average in number theory were independently discovered. 1795 Gauss entered the University of G? ttingen. 1796, 19-year-old gauss got a very important achievement in the history of mathematics, that is, the theory and method of drawing a regular heptagon ruler. Five years later, Gauss proved that a regular polygon with sides similar to Fermat prime number can be made with a ruler. 1On the morning of February 23rd, 855, Gauss died in his sleep.
⑽ The story of Gauss
Gauss is a Jew, a famous German mathematician, physicist, astronomer and geodetic scientist, and one of the founders of modern mathematics. Gauss is regarded as one of the most important mathematicians in history and is known as the "prince of mathematics".
It has become an anecdote that Gauss was able to correct his father's debt account when he was three years old. He once said that he learned to calculate on Macon's pile of things. Being able to perform complex calculations in his mind is a gift from God for his life.
In the process of growing up, Gauss mainly benefited from his mother Luo Jieya and his uncle Flier Ritchie when he was a child. Flier Ritchie is smart, enthusiastic, intelligent and capable, and has made great achievements in textile trade.
Goss started school at the age of seven. /kloc-at the age of 0/0, he entered the math class, which was the first class established. Children have never heard of such a course as arithmetic before. The math teacher is Butner, who also played a certain role in the growth of Gauss.
5. 1796 years old, Gauss 19 years old, he discovered the regular drawing method of regular heptagon, and solved an unsolved problem since Euclid. In the same year, the law of quadratic reciprocity was published and proved. This is his masterpiece, which has been proved in eight aspects in his life and is called "Huang Jinlv".
6. 1799, Gauss completed his doctoral thesis and obtained a doctorate from Helmstatt University, and returned to his hometown of Bren-Zwick. Although his doctoral thesis was successfully passed, he was awarded a doctorate and obtained a lecturer position, but he failed to attract students, so he had to go back to his hometown-the duke gave a helping hand again.
7. 1833, Gauss pulled an 8,000-foot-long wire from his observatory, passed through the roofs of many houses, and reached Weber's laboratory. Using Volt battery as power supply, he built the world's first telegraph.
8. 1837, Gauss began to learn Russian. 1839 On April 8th, his mother died in G? ttingen at the age of 95. Gauss died in G? ttingen on the morning of February 23rd, 1985 1. Many of his letters or notes scattered to friends were found in 1898.
9. Gauss has strong religious feelings, aristocratic demeanor and conservative tendencies. He has always been far away from the progressive political trend of his time. The contradiction shown by Gauss is combined with his actual harmony. As an outstanding mathematician, Gauss has an extraordinary memory for numbers. He is both a profound theorist and an outstanding mathematical practitioner.
(10) Extended reading of stories by mathematician Gauss;
1, Gauss once pointed out that geometric drawing of equilateral triangles, equilateral quadrangles, equilateral pentagons, equilateral pentagons and equilateral polygons can be realized with compasses and rulers, but the research on this issue has not made much progress since then. On the basis of number theory, Gauss put forward a criterion to judge whether a regular polygon with a given number of sides can be drawn geometrically.
2. Gauss was one of the first people who suspected that Euclidean geometry was inherent in nature and thought. Euclid was the first person to establish system geometry. Some basic ideas in his model are called axioms, which are the starting point of building the whole system through pure logic. Among these axioms, the parallel axiom stands out from the beginning.
3. Gauss has strong religious feelings, aristocratic demeanor and conservative tendency. He has always been far away from the progressive political trend of his time. The contradiction shown by Gauss is combined with his actual harmony. As an outstanding mathematician, Gauss has an extraordinary memory for numbers. He is both a profound theorist and an outstanding mathematical practitioner.