Nepedia
Back to Discover
Advanced Reader
🔢

Évariste Galois

math Maturity 11-13 death dying Next article →

This article covers sensitive topics: death_dying. Parents can manage visibility in Parental Controls.

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

Louis-le-Grand--cour-honneur
Louis-le-Grand--cour-honneur

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.

Augustin Cauchy
Augustin Cauchy

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.

E. Galois Letter
E. Galois Letter

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.

Augustin Cauchy
Augustin Cauchy

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.

Augustin Cauchy
Augustin Cauchy

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.

Révolution de 1830 - Combat devant l'hôtel de ville - 28.07.1830
Révolution de 1830 - Combat devant l'hôtel de ville - 28.07.1830

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

Simeon Poisson crop
Simeon Poisson crop

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.

Tombe galois
Tombe galois

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

545 words

Where will your curiosity go next?

Keep exploring at your chosen reading level.

🖼️ Images & Media (6)
File:Louis-le-Grand--cour-honneur.jpg
Louis-le-Grand--cour-honneur.jpg
File:Augustin Cauchy.jpg
Augustin Cauchy.jpg
File:Révolution de 1830 - Combat devant l'hôtel de ville - 28.07.1830.jpg
Révolution de 1830 - Combat devant...
File:Simeon Poisson crop.jpg
Simeon Poisson crop.jpg
File:Tombe galois.JPG
Tombe galois.JPG
File:E. Galois Letter.jpg
E. Galois Letter.jpg
More to explore

What is Nepedia?

A free, ad-free encyclopedia for children. Every article is written at five reading levels, so the same page works for a five-year-old and a fifteen-year-old — use the level switcher above to see this one change. No account needed to read.