The story of the great mathematician Gauss as a child

From one plus to one hundred.

Gauss has many interesting stories, and the first-hand accounts of the stories often come from Gauss himself, because in his later years he always liked to talk about the events of his childhood, and we may doubt the authenticity of the stories, but many people have confirmed the stories he told.

Gauss's father worked as a foreman in a masonry, and he always had to pay his workers every Saturday. In the summer when Gauss was three years old, one time when he was about to pay his salary, little Gauss stood up and said, "Dad, you are mistaken.

Then he said another number. It turned out that the three-year-old little Goss was lying on the floor, secretly following his father to calculate who to pay and how much to pay. The result of the recalculation proved that Gauss Jr. was right, which stunned the adults standing there.

Gauss often joked that he had learned to calculate before he learned to speak, and that he had learned to read the letters himself after asking adults how to pronounce them.

At the age of seven, Gauss entered StCatherine Elementary School. When I was about ten years old, my teacher had a difficult problem in my arithmetic class:

Write down integers from 1 to 100 and add them up! Whenever there is an exam, they have the following habits: the first one to finish the slate is put in use at that time, and the writing is placed face down on the teacher's desk, and the second one is done to put the slate on the first slate, and so on and so forth.

Of course, this is a difficult problem for those who have learned arithmetic series, but these children are just beginning to learn arithmetic! The teacher thought to himself that he could take a break. But he was wrong, because in less than a few seconds, Gauss had already placed the slate on the lectern and said at the same time

Here's the answer! The other students added up the numbers one by one, sweating on their foreheads, but Gauss sat quietly, unconcerned by the contemptuous, skeptical glances cast by the teacher. After the exam, the teacher examined the slate one by one.

Most of them were done wrong, and the students were flogged. Eventually, Gauss's slate was turned over, revealing 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: 1 100 101, 2 99 101, 3 98 101, ,......49 52 101, 50 51 101, there are 50 pairs and the number of 101, so the answer is 50 101 5050. It follows that Gauss found the symmetry of the arithmetic series, and then put the numbers together in pairs, just as in the process of finding the combination of ordinary arithmetic series.

Gauss was a German mathematician.

He is also a scientist, and he, along with Newton and Archimedes, is known as one of the three great mathematicians of all time. Gauss is one of the founders of modern mathematics, and his influence in history is great, and he can be ranked with Archimedes, Newton, and Euler, and is known as the "prince of mathematics".

He showed a superhuman mathematical genius at an early age. In 1795 he entered the University of Göttingen. The following year he discovered the method of drawing a ruler with a regular seventeen-sided shape. And the conditions for a regular polygon that can be made with a ruler are given, which solves the unsolved problem since Euclid.

Gauss's mathematical research has covered almost all fields, and he has made seminal contributions to number theory, algebra, non-Euclidean geometry, complex variable functions, and differential geometry. He also applied mathematics to the study of astronomy, geodesy and magnetism, and invented the principle of least squares. Gao Li's study of number theory.

Summary. In Arithmetic Studies (1801), this book laid the foundation for modern number theory, which is not only an epoch-making work in number theory, but also one of the rare classics in the history of mathematics. Gauss's important contribution to algebra was the proof of the fundamental theorems of algebra, and his proof of existence opened up new avenues for mathematical research.

Gauss arrived at the principles of non-Euclidean geometry around 1816. He also delved into complex variable functions, established some basic concepts, and discovered the famous Cauchy integral theorem. He also discovered the biperiodicity of elliptic functions, but none of this work was published during his lifetime.

In 1828, Gauss published "General Studies on Surfaces", which comprehensively and systematically expounded the differential geometry of spatial surfaces and proposed the theory of implicit surfaces. Gauss's surface theory was later developed by Riemann.

Gauss published 155 articles in his lifetime, and he was very rigorous in his approach to learning, publishing only works that he considered to be very mature. His books include "The Concept of Geomagnetism" and "On the Universal Law of Gravitation and Repulsion Inversely Proportional to the Square of Distance".

In 1801 Gauss had the opportunity to dramatically use his strength in his calculations. On New Year's Day of that year, an object that was later identified as an asteroid and named Ceres, was discovered, and it appeared to be approaching the Sun at that time, and although astronomers had 40 days to observe it, they could not yet calculate its orbit. After only three observations, Gauss proposed a method of calculating orbital parameters, and the accuracy achieved allowed astronomers to determine Ceres' position without difficulty in late 1801 and early 1802.

Gauss used in this calculation the method of least squares, which he invented around 1794 (a method for finding the best estimate from the sum of the smallest variances from a particular calculation), an achievement that was immediately recognized in astronomy. The methods he described in his Theory of Celestial Motion are still in use today and can be adapted to the requirements of modern computers with minor modifications. Gauss had similar success with the asteroid Homo sapiens.

For his outstanding research in mathematics, astronomy, geodesy and physics, Gauss was elected to many academies and academic societies. The title of "King of Mathematics" is a fitting tribute to his life.

The fact that Gauss was able to correct his father's debt accounts at the age of 3 has become an anecdote that has survived to this day. He once said that he learned to calculate on the Mai Xian Ong pile. Being able to make complex calculations in his head was a gift from God that he had given him a lifetime.

When Gauss was 9 years old, Gauss spent a very short time calculating the task assigned by his elementary school teacher: summing natural numbers from 1 to 100. The method he used was:

The sum of 50 pairs of numbers constructed into a sum of 101 is (1+100, 2+99, 3+98......).At the same time, the result is obtained: 5050. However, according to more elaborate mathematical history books, Gauss's solution is not as simple as adding 1 to 100, but 81297+81495+...

100899 (tolerance 198, number of terms 100).

By the time Gauss was 12 years old, he had already begun to doubt the fundamental proofs in elemental geometry. When he was 16 years old, a completely different geometry would inevitably arise outside of Euclidean geometry. He derived the general form of the binomial theorem, successfully applied it to infinite series, and developed the theory of mathematical analysis.

Gauss's teacher Bruettner with his assistants.

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Early recognition of Gauss's extraordinary talent for mathematics, while herzog

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Vonbraunschweig was also impressed by this gifted child. So they sponsored Gauss's studies and life from the age of 14. This also allowed Gauss to study at the Carolinum Academy (the predecessor of today's Braunschweig College) in 1792-1795 AD.

At the age of 18, Gauss transferred to the University of Göttingen. At the age of 19, he was the first to succeed in constructing a regular 17-angle shape with a ruler.

1. Gauss started school when he was 7 years old, and one day, the math teacher assigned a problem, 1+2+3··· So add it from 1 all the way up to 100. Gauss quickly figured out the answer, and at first Gauss's teacher, Buettner, did not believe that Gauss had calculated the correct answer. Gauss was very adamant and said that the answer was 5050, and Buettner was impressed with him.

The young Gauss entered a liberal arts school, and in his new school, all his homework was excellent. His teachers recommended him to the Duke of Berenswick, a simple, intelligent boy who won the Duke's sympathy, who generously offered to be Gauss's patron.

In 1807, Duke Carl Wilhelm Ferdinand was killed in the Battle of Jena while resisting the French army under Napoleon's command, which caused Gauss financial constraints, and in 1807 he went to Göttingen to take up the post of director of the Göttingen Observatory.

Nian Gauss pulled an eight-thousand-foot long wire from his observatory across the rooftops of many homes to Weber's laboratory, where he built the world's first telegraph using volt-powered batteries.

Gauss celebrated the 50th anniversary of his Ph.D., for which Gauss prepared a new version of his early proof of the fundamental theorems of algebra. As his health deteriorated, this became his last omen. The greatest joy and honour for him was the honorary title of citizen of Göttingen.