What is Evariste Galois known for?

Évariste Galois, (born October 25, 1811, Bourg-la-Reine, near Paris, France—died May 31, 1832, Paris), French mathematician famous for his contributions to the part of higher algebra now known as group theory.

What did Galois prove?

Using Galois theory, you can prove that if the degree of p(x) (i.e. the highest power of x in p(x)) is less than 5 then the polynomial is soluble by radicals, but there are polynomials of degree 5 and higher not soluble by radicals.

Why did Galois get in a duel?

There have been many accounts of the life of Galois and the duel. Most sources suggest that the duel was due to a failed love affair. It seems Galois fell in love with the physician’s daughter when he was in jail, but as happens most of the time, the girl was not in love with Galois but someone else.

What happened to Galois?

The only certainty is that at dawn, on 30 May 1832, Galois was shot in the abdomen during a duel. He lay abandoned for hours until he was found by a farmer, and was taken to Cochin Hospital, where he died the next day.

Why was Galois killed?

Early in the morning of 30 May 1832, he was shot in the abdomen, was abandoned by his opponents and his own seconds, and was found by a passing farmer. He died the following morning at ten o’clock in the Hôpital Cochin (probably of peritonitis), after refusing the offices of a priest.

What did Évariste Galois contribute to mathematics?

Évariste Galois ( /ɡælˈwɑː/; French: [evaʁist ɡalwa]; 25 October 1811 – 31 May 1832) was a French mathematician and political activist. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a problem standing for 350 years.

How old was Galois when he was born?

Early life. Galois was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie (née Demante). His father was a Republican and was head of Bourg-la-Reine’s liberal party. His father became mayor of the village after Louis XVIII returned to the throne in 1814.

How did Galois develop the group theory?

The French mathematician Évariste Galois (1811–32), motivated in part by Abel’s work, introduced certain groups of permutations to determine the necessary conditions for a polynomial equation to be solvable. These concrete groups soon gave rise to abstract groups, which were described axiomatically.

How did Galois get into the École Normale?

Having been denied admission to the École polytechnique, Galois took the Baccalaureate examinations in order to enter the École normale. He passed, receiving his degree on 29 December 1829.