Évariste Galois

Évariste Galois was a math star.

He loved to solve hard puzzles. He found new ways to use numbers. He solved a problem that was open for many years.

Galois also cared about his land. He was part of a big change in France. This work led to him being sent to jail.

He kept working on math even in jail. He wrote many new ideas down. He wanted to share his work with the world.

His ideas helped start new ways of math.

He was a very smart man.

Évariste Galois was a brilliant French mathematician.

He loved solving deep puzzles. At age 14, he began studying math seriously. He read math books like they were novels. By age 15, he was reading papers for experts. He worked on how to solve equations. This work solved a problem that was 350 years old. His ideas helped start two big branches of math. These are called Galois theory and group theory.

Galois was also a political activist. He fought for a republic in France. This was a very loud and busy time. His actions led to many arrests. He even spent time in jail. He kept writing his math ideas while in prison.

One expert named Siméon Denis Poisson said his work was hard to understand.

Galois did not give up. He kept polishing his work. Sadly, Galois died very young. He died from wounds after a duel in 1832. He was only 20 years old. His math changed how we see the world.

Évariste Galois was a brilliant French mathematician and a passionate political activist.

He lived during a time of great change in France. He was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie. His mother taught him many things for the first twelve years of his life. By age 14, he was studying math with great focus. He once read a geometry book as if it were a novel. He was so smart that his teachers saw his brilliance early on.

Galois wanted to solve puzzles involving polynomial equations. These are math problems that have been studied for a very long time. He found a way to know if these equations could be solved using radicals. This discovery solved a problem that had been open for 350 years. His work helped create two new branches of math called Galois theory and group theory. These are parts of abstract algebra.

Even though he was young, his ideas were very deep and important.

His path to success was not easy or smooth. In 1828, he tried to enter the École Polytechnique. This was the most famous math school in France at the time. He failed the test because he did not prepare in the usual way. He then went to the École Normale instead. In 1829, he earned his degree through the Baccalaureate exams. His math teacher said he was very intelligent and loved to research.

Galois also cared deeply about politics in France. He was a strong supporter of the Republic. This led him to join the National Guard. He was involved in the July Revolution of 1830. Because of his political actions, he was arrested several times. He spent some time in the Sainte-Pélagie prison. He even continued to work on his math while he was in jail.

Some experts found his math very hard to follow. A mathematician named Siméon Denis Poisson called his work incomprehensible.

This did not stop Galois from trying to fix his papers. He worked hard to polish his ideas until his final days. Sadly, Galois died very young after a duel in May 1832. He was only 20 years old. Today, we remember him for his amazing mathematical mind.

Évariste Galois was a brilliant French mathematician and a passionate political activist.

He lived during a time of intense political change in France. Born on 25 October 1811, he was the son of Nicolas-Gabriel Galois and Adélaïde-Marie. His mother educated him for his first twelve years. By age 14, he began studying mathematics with extreme focus. He once read a geometry book by Adrien-Marie Legendre as if it were a novel. His brilliance was recognized early by his teacher at the Lycée Louis-le-Grand.

Galois focused his intellect on the theory of polynomial equations. These are mathematical expressions that had puzzled scholars for centuries. He discovered a necessary and sufficient condition for these equations to be solvable by radicals. This breakthrough solved a specific mathematical problem that had remained open for 350 years. His work laid the essential foundations for two major branches of abstract algebra. These branches are known as Galois theory and group theory.

His ideas changed how mathematicians understand the structure of equations.

His academic journey was marked by struggle and unconventional methods. In 1828, he attempted the entrance exam for the prestigious École Polytechnique. He failed because he lacked standard preparation and struggled with oral explanations. He instead entered the École Normale, which was a less prestigious institution at the time. In 1829, he passed his Baccalaureate examinations to enter the École normale. His examiner noted that while his expression was sometimes obscure, he showed a remarkable spirit of research.

Galois faced significant professional setbacks regarding the publication of his work. He submitted two papers on polynomial equations to the Academy of Sciences. The eminent mathematician Augustin-Louis Cauchy reviewed these papers. Cauchy recognized their importance but suggested combining them for a mathematics Grand Prize competition. Sadly, the memoir was lost after the Academy's secretary, Joseph Fourier, died. This prevented Galois from receiving the prize that went to Niels Henrik Abel and Carl Gustav Jacob Jacobi.

Political activism defined much of Galois's adult life. He was a staunch Republican during the political turmoil of the 1830 July Revolution. When the director of the École Normale prevented him from participating in the revolution, Galois wrote a critical letter. This led to his expulsion from the school in 1831. He joined the Republican artillery unit of the National Guard. His political involvement led to several arrests and a period of detention in Sainte-Pélagie prison.

Even in prison, Galois continued to refine his mathematical contributions. He responded to criticism from Siméon Denis Poisson, who called his work "incomprehensible."

Rather than giving up, Galois collected his manuscripts to polish his ideas. He sought to publish his work privately through his friend Auguste Chevalier. He continued this intense mathematical labor until his very end. His ability to maintain scientific focus during personal crisis was extraordinary.

His life ended abruptly due to a duel on 30 May 1832. The exact reasons for the duel remain obscure and subject to speculation. Some evidence suggests a broken love affair involving Stéphanie-Félicie Poterin du Motel. Galois died from the wounds he suffered during the fight. He was only 20 years old.

Although his life was short, his mathematical legacy is permanent. His theories remain central to modern algebra and higher mathematics today.