0
Add your answer:
Earn +20 pts
Greek mathematician who discover radical expression?
It was Évariste Galois (1811 -- 1832) who discovered that there exists a radical expression for the roots if and only if the Galois group of the polynomial - initially a permutation group on the roots - is solvable Galois97. But the task itself was impractical in his days. This package is the first public tool which provides a practical method for solving a polynomial algebraically. The implementation is based on Galois' ideas and the algorithm is described in Distler05.Évariste Galois (French: [evaʁist ɡalwa]) (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] at the age of twenty.BY: JOEVANCANDIDO =)
Who discovered that there cannot be a quintic formula for solving quintic equations?
This was first discovered by Evariste Galois not long before his death at the age of 20 in 1832. He found that any polynomial of degree greater than 4 cannot have a general solution in terms of radicals. A field of abstract algebra evolved from his work, and is known as Galois theory.
Was Evariste Galois ever married?
was evariste galios married
What is an alternating group?
In group theory, an alternating group is a group of even permutations of a finite set.
Describe McGregor's Theory X and Theory Y assumptions about workers?
Theory X is a group of ideas created by Douglas McGreggor in the 1960's. It deals with human motivations. He also discussed theory
What was Evariste Galois known as?
Many consider him the father of modern algebra. Galois theory was named after him and is very important for many reasons one of which is it provides a connection between field theory in modern algebra and group theory.
When did Evariste Galois create the Galois Theory?
he discovered it in 1823
What is the Galois problem?
The galois theory is used to solve radicals. this is spectre, signing off
Who devolped group theory?
The initial work on Group Theory was carried out by Evariste Galois, but sadly heis work was not accepted by mathematicians of the time and was published only after his death (1832).
How did Galois arrived his theory?
1832 is when he wrote about the groupl theory.
What has the author Edgar Dehn written?
Edgar Dehn has written: 'Algebraic equations' -- subject(s): Dynamics, Galois theory, Group theory, Lagrange equations, Theory of Equations 'Prime numbers'
What has the author Stephen U Chase written?
Stephen U. Chase has written: 'Hopf algebras and Galois theory' -- subject(s): Galois theory, Hopf algebras
Which mathematician is credited for Group Theory?
Évariste Galois (October 25, 1811 -- May 31, 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, a major branch of abstract algebra, and the subfield of Galois connections. He was the first to use the word "group" as a technical term in mathematics to represent a group of permutations.
Is there any connection between Evariste Galois's group theory and symmetry?
There sure is, and a major connection at that.Consider a finite set of n elements. The symmetric group of this set is said to have a degree of n. The symmetric group of degree n (Sn) is the Galois group of the general polynomial of degree n. In order for there to be a formula involving radicals that solve the general polynomial of degree n, such as the quadratic equation when n = 2, that polynomial's corresponding Galois group must be solvable. S5 is not a solvable group. Therefore, the Galois group of the general polynomial of degree 5 is not solvable. Thus the general polynomial of degree 5 has no general formula to solve it using radicals.This was huge result, and one of the first real applications, for group theory, since that problem had stumped mathematicians for centuries.
What religion was evariste galois?
Evariste Galois was a French mathematician known for his contributions to group theory and understanding solvability of equations. He was not known to adhere to any specific religion, and his focus was primarily on mathematics rather than religious beliefs.
What has the author Patricia Margaret Pearson written?
Patricia Margaret Pearson has written: 'Cyclotomy in the Galois fields' -- subject(s): Galois theory, Cyclotomy
What has the author Lisl Gaal written?
Lisl Gaal has written: 'Classical Galois theory'
