Évariste Galois was born on October 25, 1811, he was a French mathematician.

On this day (October 25), 1811, Évariste Galois was born, he was a French mathematician.

Her mother, the daughter of a jurist , was a fluent reader literature latin y classical y he was responsible for his son's education for his first twelve years. In October 1823 he entered the Lycée Louis-le-Grand , At the age of 14, he began to take a serious interest in mathematics .

he found a copy of Elements of Geometry by Adrien-Marie Legendre, which, it is said, he read 'like a novel'. At age 15, I was reading the original articles by Joseph-Louis Lagrange, such as the Réflexions sur la résolution algébrique des équations that probably motivated his later work on the theory of equations, and Leçons sur le calcul des fonctions, work intended for professional mathematicians. However, his classwork remained uninspired, and his teachers accused him of affecting ambition and originality in a negative way.

In 1828, he attempted the entrance exam to the École Polytechnique , the most prestigious mathematics institution in France at the time, without the usual preparation in mathematics, and failed for lack of explanations in the oral exam. In that same year, he entered École Normale (then known as l'École préparatoire), a very inferior institution for mathematical studies at the time, where he found some sympathetic teachers.

The following year, Galois's first paper, on continued fractions, was published. It was around the same time that he began to make fundamental discoveries in the theory of polynomial equations . He submitted two papers on this topic to the Academy of Sciences . Augustin-Louis Cauchy refereed these articles, but refused to accept them for publication for reasons that remain unclear. Cauchy, an eminent mathematician of the time, considered Galois's work a likely winner of the Academy Grand Prize in Mathematics,

His mathematics examiner at the Ecole Normale reported: "This student is sometimes obscure in expressing his ideas, but he is intelligent and shows a remarkable spirit of inquiry."

Galois's mathematical contributions cover various fields; Algebra, Galois Theory, Analysis , Continued fractions....

Galois was able to determine a necessary and sufficient condition so that a polynomial could solve using radicals , thus solving a problem that has persisted for 350 years.

As a curiosity to comment that in 1843, two years after his death at the age of 20 in a duel, Joseph Liouville reviewed his last manuscript and declared it solid. It was eventually published in the October-November 1846 issue of the Journal de Mathématiques Pures et Appliquées .

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