Abel showed amazing mathematical talent at the age of 13. He studied the theories of famous mathematicians such as Newton and Euler since childhood, and even found many small flaws from them. He independently worked out the correct solution of the quintic equation. Prior to this, many mathematicians' more than 500 pages of problem-solving ideas were not enough to explain the problem. He explained everything perfectly in only 60 pages. However, this19th century Norway's greatest mathematician was born in poverty. Abel's father was a poor priest and died at the age of 18. Abel, who is studying in college, has taken on the responsibility of family since then. Fortunately, his teachers didn't give up the math genius and pay for his tuition. Abel, 22, published a paper entitled "One-variable quintic equation has no algebraic general solution". However, because he couldn't afford the printing fee, the paper was compressed into six pages. After hitting a wall countless times, Abel met Cauchy, who lost Abel's paper. Abel died of tuberculosis. It was not until his good friend Creaer helped him that his fame resounded through the mathematical world. Unfortunately, a generation of genius has been defeated by disease.
Galois was born in a small town near Paris. His father is the headmaster of this school. Galois left his parents to study abroad at the age of 65,438+02. At the age of 65,438+07, he began to study equation theory and created the concept of permutation group, which completely changed people's mathematical thinking. 1829 In May, Galois submitted a paper to the Paris academic community, but it was indeed slandered and attacked. In the July Revolution of 183 1, Galois led many people to the streets and was unfortunately infected with cholera. Later, he was arrested and imprisoned, and died in a duel after he was released from prison. It was after his death 16 years that his paper was published and his name spread in the scientific community.