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![Hottest Mathematician ever… Évariste Galois :
taken from wikipedia:
(25 October 1811 – 31 May 1832) was a French mathematician born in Bourg-la-Reine. 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 long-standing problem. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra, and the subfield of Galois connections. He was the first to use the word “group” (French: groupe) as a technical term in mathematics to represent a group of permutations. A radical Republican during the monarchy of Louis Philippe in France, he died from wounds suffered in a duel under questionable circumstances[1] (IT WAS OVER A GIRL)at the age of twenty. Early in the morning of 30 May 1832 he was shot in the abdomen and died the following morning at ten o’clock in the Cochin hospital (probably of peritonitis) after refusing the offices of a priest. He was 20 years old. His last words to his brother Alfred were:
“Ne pleure pas, Alfred ! J’ai besoin de tout mon courage pour mourir à vingt ans !” (Don’t cry, Alfred! I need all my courage to die at twenty.)
Unsurprisingly, Galois’ collected works amount to only some 60 pages, but within them are many important ideas that have had far-reaching consequences for nearly all branches of mathematics.[17] His work has been compared to that of Niels Henrik Abel, another mathematician who died at a very young age, and much of their work had significant overlap.
Algebra:
n his last letter to Chevalier and attached manuscripts, the second of three, he made basic studies of linear groups over finite fields:
He constructed the general linear group over a prime field, GL(ν, p) and computed its order, in studying the Galois group of the general equation of degree pν.
He constructed the projective special linear group PSL(2,p). Galois constructed them as fractional linear transforms, and observed that they were simple except if p was 2 or 3. These were the second family of finite simple groups, after the alternating groups.
He noted the exceptional fact that PSL(2,p) is simple and acts on p points if and only if p is 5, 7, or 11.
[
Galois theory:
Galois’ most significant contribution to mathematics by far is his development of Galois theory. He realized that the algebraic solution to a polynomial equation is related to the structure of a group of permutations associated with the roots of the polynomial, the Galois group of the polynomial. He found that an equation could be solved in radicals if one can find a series of subgroups of its Galois group, each one normal in its successor with abelian quotient, or its Galois group is solvable. This proved to be a fertile approach, which later mathematicians adapted to many other fields of mathematics besides the theory of equations to which Galois originally applied it.
Analysis:
Galois also made some contributions to the theory of Abelian integrals and continued fractions.
HE WAS TWENTY YEARS OLD BY THE TIME HE DID ALL OF THIS.](http://25.media.tumblr.com/tumblr_m04xddBev41qzjzyyo1_500.jpg)
Hottest Mathematician ever… Évariste Galois :
taken from wikipedia:
(25 October 1811 – 31 May 1832) was a French mathematician born in Bourg-la-Reine. 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 long-standing problem. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra, and the subfield of Galois connections. He was the first to use the word “group” (French: groupe) as a technical term in mathematics to represent a group of permutations. A radical Republican during the monarchy of Louis Philippe in France, he died from wounds suffered in a duel under questionable circumstances[1] (IT WAS OVER A GIRL)at the age of twenty.
Early in the morning of 30 May 1832 he was shot in the abdomen and died the following morning at ten o’clock in the Cochin hospital (probably of peritonitis) after refusing the offices of a priest. He was 20 years old. His last words to his brother Alfred were:“Ne pleure pas, Alfred ! J’ai besoin de tout mon courage pour mourir à vingt ans !” (Don’t cry, Alfred! I need all my courage to die at twenty.)
Unsurprisingly, Galois’ collected works amount to only some 60 pages, but within them are many important ideas that have had far-reaching consequences for nearly all branches of mathematics.[17] His work has been compared to that of Niels Henrik Abel, another mathematician who died at a very young age, and much of their work had significant overlap.
Algebra:
n his last letter to Chevalier and attached manuscripts, the second of three, he made basic studies of linear groups over finite fields:
- He constructed the general linear group over a prime field, GL(ν, p) and computed its order, in studying the Galois group of the general equation of degree pν.
- He constructed the projective special linear group PSL(2,p). Galois constructed them as fractional linear transforms, and observed that they were simple except if p was 2 or 3. These were the second family of finite simple groups, after the alternating groups.
- He noted the exceptional fact that PSL(2,p) is simple and acts on p points if and only if p is 5, 7, or 11.
[
Galois theory:
Galois’ most significant contribution to mathematics by far is his development of Galois theory. He realized that the algebraic solution to a polynomial equation is related to the structure of a group of permutations associated with the roots of the polynomial, the Galois group of the polynomial. He found that an equation could be solved in radicals if one can find a series of subgroups of its Galois group, each one normal in its successor with abelian quotient, or its Galois group is solvable. This proved to be a fertile approach, which later mathematicians adapted to many other fields of mathematics besides the theory of equations to which Galois originally applied it.
Analysis:
Galois also made some contributions to the theory of Abelian integrals and continued fractions.
HE WAS TWENTY YEARS OLD BY THE TIME HE DID ALL OF THIS.
Why I should be excited for Paris next fall: My favourite philosopher and mathematician have monuments/memorials.
Ergh my internet is being retarded.
wrote “Candide”
Galois was 19 when he came up with the Fundamental Theorem of Algebra which states that there are just as many zeros as the degree of the polynomial. Insanely brilliant, his work was not appreciated until after his premature death at the age of 20 years-old because his work was incredibly complicated for many to understand. Galois died in a duel over a woman. The night before the duel he had an immense feeling that he may die, so he wrote a bunch of letters to people, and wrote down allt he important information about his mathematics findings and delivered it to a friend, whom he had promised him he’d attempt to publicize his work and allow someone to “finally understand him(and his work”. Well Galois did die from a gunshot wound to the stomach, and his work was proven and I’m studying it right now in my advanced Algebra class.
