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	Evariste Galois
		Evariste Galois (1811 — 1832) was a mathematician whose genius engendered innovative ideas and inventive approaches.
		Evariste was born in Bourg-La-Reine on the 25th of October in 1811 to Nicholas-Gabriel Galois and Adelaide-Marie Demante.
		However, Galois was arrested again on Bastille Day 1831 for possessing a weapon and wearing the uniform of the Guard, which had been ordered disbanded by a fearful Louis-Philippe.
	www.iscid.org /encyclopedia/Evariste_Galois (1902 words)

	Evariste Galois - Wikipedia, the free encyclopedia
		Galois at the age of fifteen from the pencil of a classmate.
		Galois revised his memoir and sent it to Fourier in early 1830, upon the advice of Cauchy, to be considered for the Grand Prix of the Academy.
		Galois' mathematical contributions were finally fully published in 1843 when Liouville reviewed his manuscript and declared that he had indeed solved the problem first proposed and also solved by Abel.
	en.wikipedia.org /wiki/Evariste_Galois (678 words)

	Kids.net.au - Encyclopedia Galois theory - (Site not responding. Last check: 2007-11-07)
		Galois theory is that branch of abstract algebra which studies the symmetries of the roots of polynomials.
		Symmetries are usually expressed in terms of symmetry groups, and in fact the abstract notion of group was invented by Evariste Galois for the very purpose of describing symmetries of roots.
		In the modern approach, the formalism is changed somewhat, in order to achieve a precise and more general definition: one starts with a field extension L/K and defines its Galois group as the group of all field automorphisms of L which keep all elements of K fixed.
	www.kids.net.au /encyclopedia-wiki/ga/Galois_theory (686 words)

	Evariste Galois (1811 - 1832) (Site not responding. Last check: 2007-11-07)
		Galois is one of the most tragic and romantic figures of mathematics.
		Galois proved that no polynomial of degree greater than five could be solved analyticaly, a great outsanding problem of the day.
		Galois' early schooling was at the infamous lycee of Louis Grande in Paris.
	www.scs.ryerson.ca /~danziger/labs/galois.htm (507 words)

	Evariste Galois
		Evariste Galois was born on the 25th of October 1811 in a small place called Bourg-la-Rei ne.
		Galois must have been interested in politics when he was still attending the Louis-le-Grand, because Dupuy says in his biography, that besides the excellent education provided at the Polytechnique, Galois hoped to participate in the various political activities of this school.
		Evariste Galois was expelled from school on the 9th of December - publicly announced on the 4th of January - because of an anonymous letter to the "Gazette des écoles".
	www.evariste-galois.net (2898 words)

	Evariste Galois (Site not responding. Last check: 2007-11-07)
		Evariste Galois' parents were both intelligent and well educated in philosophy, classical literature and religion.
		Galois' father was an important man in the community and in 1815 he was elected mayor of Bourg-la-Reine.
		Galois was deeply affected by his father's death and it greatly influenced the direction his life was to take.
	www.stetson.edu /~efriedma/periodictable/html/Ge.html (528 words)

	Evariste Galois
		Galois tried to start his own school of mathematics, but got no students, so he joined the National Guard -- "If a carcass is needed to stir up the people, I will donate mine." Galois was jailed for supposedly threatening the King, but was found 'not guilty' by a jury.
		Galois took it violently and was disgusted with love, with himself, and with his girl." A few days later Galois encountered some of his political enemies and "an affair of honor," a duel, was arranged.
		Galois was shot in the intestines, and was taken to the hospital.
	scidiv.bcc.ctc.edu /Math/Galois.html (653 words)

	galois
		The story of Evariste Galois (Oct 25, 1811 to May 31, 1832) is a tragic one.
		Evariste Galois was born to a well educated family near Paris.
		Galois was shot in the abdomen and died the next day, apparently from peritonitis.
	www.geocities.com /galois_e/page/galois.html (833 words)

	Tony Rothman's Article on Evariste Galois (Site not responding. Last check: 2007-11-07)
		Evariste Galois was born on October 25, 1811, not far from Paris in the town of Bourg-la-Reine, France.
		Galois was not among those expelled, nor is it known if he was even among the rebels, but we may guess that the arbitrariness of the provisor and the general severity of the school's regime made a deep impression on him.
		Galois was the hero of the moment, and the artillerists adjourned to the street to celebrate their exhuberance by dancing all night.
	godel.ph.utexas.edu /~tonyr/galois.html (13825 words)

	Galois theory (Site not responding. Last check: 2007-11-07)
		In mathematics, Galois theory is that branch of abstract algebra which studies the symmetries of the roots of polynomials.
		Symmetries are usually expressed in terms of symmetry groups, and in fact the very notion of a group was invented by Evariste Galois to describe symmetries of roots.
		In the modern approach, the setting is changed somewhat, in order to achieve a precise and more general definition: one starts with a field extension L/K and defines its Galois group as the group of all field automorphisms of L which keep all elements of K fixed.
	www.sciencedaily.com /encyclopedia/galois_theory (1068 words)

	Galois (Site not responding. Last check: 2007-11-07)
		Galois therefore resigned himself to enter the École Normale, which was an annex to Louis-le-Grand, and to do so he had to take his Baccalaureate examinations, something he could have avoided by entering the École Polytechnique.
		Galois was invited by Poisson to submit a third version of his memoir on equation to the Academy and he did so on 17 January.
		Galois was wounded in the duel and was abandoned by d'Herbinville and his own seconds and found by a peasant.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Galois.html (1959 words)

	Galois theory -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-07)
		In other words, the Galois theory is the study of solutions to polynomials and how the different solutions are related to each other.
		It is easy to construct field extensions with a given finite group as Galois group: Choose a field K and a finite group G.
		The Galois group of L over F is S, by a basic result of Artin.
	www.absoluteastronomy.com /encyclopedia/G/Ga/Galois_theory.htm (1239 words)

	Evariste Galois (Site not responding. Last check: 2007-11-07)
		Evariste Galois (October 25, 1811 – May 31, 1832) was a FranceFrench mathematician born in Bourg-la-Reine.
		Galois was a staunch RepublicanismRepublican, famous for having toasted Louis-Philippe of FranceLouis-Philippe/ with a dagger above his cup, which leads some to believe that his death in a duel was set up by the secret police.
		Galois' mathematical contributions were finally fully published in 1843 when Joseph LiouvilleLiouville reviewed his manuscript and declared that he had indeed solved the problem first proposed and also solved by Niels Henrik AbelAbel/.
	www.infothis.com /find/Evariste_Galois (653 words)

	.:: Galois Field Arithmetic Library ::.
		The branch in mathematics known as Galois theory (pronounced as "gal-wah") which is based on abstract algebra was discovered by a young brilliant french mathematician known as Evariste Galois.
		Galois field polynomials within the branch are seen as mathematical equivalents of Linear Feed-Back Shift Register (LFSR) and operations upon elements are accomplished via bitwise operations such as xor, and, or logic.
		Galois theory is used to describe and generalize results seen in these fields, for example the AES algorithm can be represented with just a few lines of mathematics using Galois theory and some other related abstract algebra.
	www.partow.net /projects/galois (689 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Evariste Galois (October 25, 1811-May 31, 1832) was a French mathematician born in Bourg-la-Reine.
		His work laid the fundamental foundations for Galois theory, a major branch of abstract algebra and of pseudorandom sequence (PN) and error-correction coding applications.
		The night before the duel, supposedly fought in order to defend the honor of a woman, he was so convinced of his impending death that he stayed up all night writing letters to his Republican friends and composing what would become his mathematical testament.
	www.informationgenius.com /encyclopedia/e/ev/evariste_galois.html (358 words)

	Evariste Galois' Biography (Site not responding. Last check: 2007-11-07)
		Galois theory is essentially the "complete" theory of the roots of polynomial equations in one variable.
		Galois' brilliant insight was that one can know essentially "everything" there is to know about the roots of polynomial equations by considering a new object, a group, namely the group of all "reasonable" permuations of those roots.
		Galois concluded that not all permutations of the roots of a polynomial may be reasonable.
	www.andrews.edu /~calkins/math/biograph/biogaloi.htm (1725 words)

	An introduction to EVARISTE
		EVARISTE (Etude et Valorisation des Activités de Recherche et d'Innovation Scientifique et Technique pour les Entreprises) is an official WWW site of the French Ministry of Industry, focused on innovation and technology transfer.
		EVARISTE opened on April 10th, 1996, and is continuously growing.
		Since it was opened, EVARISTE delivered an on-line version of the output of a recent work achieved by the French ministry of Industry, entitled "100 key technologies", which provides an analysis grid, for public authorities as well as for industrial managers, exploring forces and weaknesses of the French industry and research achievements.
	www.evariste.org /introeng.html (445 words)

	ÉVARISTE GALOIS
		Galois presentó a la Academia de Ciencias Francesa sus primeros artículos sobre lo que llegaría a ser teoría de grupos.
		Galois atribuiría su mala suerte a un malvado intento de la Academia, acusando al jurado de rechazar su trabajo de antemano, por ser su autor de nombre Galois, y además, tan sólo un estudiante.
		Galois había escrito una carta a su director, donde le llamaba traidor por su actitud durante la revolución de julio.
	thales.cica.es /rd/Recursos/rd97/Biografias/05-2-b-galois.html (2394 words)

	The life and times of Évariste Galois
		This article is not intended to examine the work of Galois but rather to consider the extraordinary times that Galois lived in and to show the influence of world events on mathematics.
		From this point the monarchy of Louis 16th was in major difficulties as the majority of Frenchmen composed their differences and united behind an attempt to destroy the privileged establishment of the church and the state.
		However in 1826 Galois was asked to repeat the year because his work in rhetoric was not up to the required standard.
	www.maths.tcd.ie /~butler/greats/galois.html (1999 words)

	American Mathematical Monthly, The: Evariste Galois, 1811-1832 (Site not responding. Last check: 2007-11-07)
		Galois plunged recklessly into a duel on May 30, 1832, apparently after losing the love of his Stephanie.
		The badly wounded Galois was discovered by either a passing peasant or a soldier and taken to hospital.
		(Fasquelle, Paris, 1956), says that Galois was killed by one of his fellow republicans and that the cause of the duel was a woman suspected of being an agent of the police.
	www.findarticles.com /p/articles/mi_qa3742/is_199803/ai_n8802254 (1085 words)

	Galois Groups
		The Galois group of the polynomial is then the group G of automorphisms of E that leave F fixed.
		The preceding definition of a Galois group is actually a modernized version introduced by Emil Artin in the late 1920's (based on the earlier ideas of Emmy Noether and Richard Dedekind).
		This, therefore, is the Galois group of the preceding polynomial relative to the coefficient field Q. One of the most important applications of Galois theory (indeed, the reason it was invented) is to provide the criterion for deciding when a polynomial is solvable by means of rational operations and root extractions.
	www.mathpages.com /home/kmath290/kmath290.htm (2218 words)

	No. 73: Evariste Galois
		variste Galois was the father of modern algebra.
		He was born in France in 1811, and he died of gunshot wounds 20 years and seven months later -- still a minor when his brief, turbulent life ended.
		Lines from the unpublished work: Antiphon for Evariste Galois (1957) are used with the permission of Carol Christopher Drake.
	www.uh.edu /engines/epi73.htm (578 words)

	Galois, Evariste -- Encyclopædia Britannica (Site not responding. Last check: 2007-11-07)
		More results on "Galois, Evariste" when you join.
		His theory provided a solution to the long-standing question of determining when an algebraic equation can be solved by radicals (a solution containing square roots, cube roots, and so on but no trigonometry functions or other nonalgebraic functions).
		Rather than establishing whether specific equations can or cannot be solved by radicals, as Abel had suggested, the French mathematician Évariste Galois (1811–32) pursued the somewhat more general problem of defining necessary and sufficient conditions for the solvability of any given equation.
	www.britannica.com /eb/article-9035928 (553 words)

	Evariste Galois: intro
		Evariste Galois is undoubtedly the father of modern algebra.
		But as soon as you start working seriously on the story of his life, you realize how many details are missing, blurred or in the worst case even distorted.
		Another problem lies in the fact, that most of the original texts of Evariste Galois are not easily available, if you are not in working distance of Paris or at least a university with a huge library.
	www.galois-group.net /g/EN/intro.html (385 words)

	AllRefer.com - Evariste Galois (Mathematics, Biography) - Encyclopedia
		Evariste Galois[AvArEst´ gAlwA´] Pronunciation Key, 1811–32, French mathematician.
		Galois was twice imprisoned for his republican sympathies.
		He was killed in a duel with a political opponent.
	reference.allrefer.com /encyclopedia/G/Galois-E.html (174 words)

	Davidson Mathematician's Book Tackles Complex Galois Theory
		But when he first encountered Galois theory as a Yale graduate student fourteen years ago, was overwhelmed by the degree of abstraction.
		Evariste Galois was a brilliant young French mathematician of the early 19th century, and his point of view on roots of polynomials inspired the theory that now bears his name.
		But with the increasing power of computing, Galois theorists gained the ability to perform calculations and understand examples that had been inaccessible with pencil and paper.
	www.collegenews.org /x3893.xml (818 words)

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