There are inspirational stories about mathematicians, and insights

The story of the 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.