Évariste Galois

Évariste Galois was a French mathematician and political activist 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 using radicals. 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 the busy and sometimes dangerous 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, not long after he was released, he was in a duel and died from the injuries he received.

Life

Galois was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie (née Demante). His father was a leader in the local government and became mayor after the king returned to power. His mother was very good with languages and taught him a lot when he was young.

Galois loved mathematics. When he was 14, he started studying it seriously. He read advanced books by himself and thought deeply about solving equations. Later, he tried to join a top school for math but did not pass the test because he explained his ideas in unusual ways. 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 also took part in politics during a time of change in France. He got into trouble for his strong opinions and spent time in prison, but he kept working on his math ideas. Sadly, he died very young at the age of 20. Many years later, his unpublished work was recognized as very important, and it changed how mathematicians understand equations.

Contributions to mathematics

Évariste Galois made big 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 math steps called radicals.

Galois also worked on other math areas, like special kinds of numbers and patterns called continued fractions. Even though he lived a short life, his ideas helped shape many parts of math today.