Évariste Galois

Évariste Galois was a French mathematician who lived from 25 October 1811 to 31 May 1832. Even as a teenager, he made an amazing discovery in math. He figured out a special rule that tells us when a certain kind of math problem, called a polynomial, can be solved in a particular way. This solved a puzzle that had puzzled mathematicians for over 350 years!

His ideas became the basis for two big parts of modern math: Galois theory and group theory. These help us understand patterns and relationships in many areas of mathematics.

Galois was also very interested in politics. He supported the Republican cause and was caught up in busy times after the French Revolution of 1830. Because of his strong political views, he was arrested many times and spent several months in jail. Sadly, he died not long after he was released.

Life

Évariste Galois was born on 25 October 1811. His father was a leader in local government and became mayor. His mother was good with languages and taught him when he was young.

Galois loved mathematics. When he was 14, he began studying it seriously. He read advanced books and thought deeply about solving equations. Later, he tried to join a top school for math but did not pass the test. Even though his work was not published during his life, he made big discoveries that helped create a new area of math called Galois theory.

Galois was also interested in politics during a time of change in France. He spent time in prison for his strong opinions but kept working on his math. Sadly, he died at the age of 20. Many years later, his work was recognized as very important and changed how mathematicians understand equations.

Contributions to mathematics

Évariste Galois made important ideas in math. He was one of the first to use the word "group" in a special math way, helping start a part of math called group theory. He studied how to solve hard math puzzles called equations and showed when they can be solved using special steps.

Galois also worked on other math areas, like special kinds of numbers and patterns. Even though his life was short, his ideas helped shape many parts of math today.