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Galois theory
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=== Galois' writings === [[File:Evariste Galois.jpg|alt=Évariste Galois|thumb|A portrait of Évariste Galois aged about 15]] In 1830 Galois (at the age of 18) submitted to the [[Paris Academy of Sciences]] a memoir on his theory of solvability by radicals; Galois' paper was ultimately rejected in 1831 as being too sketchy and for giving a condition in terms of the roots of the equation instead of its coefficients. Galois then died in a duel in 1832, and his paper, "''Mémoire sur les conditions de résolubilité des équations par radicaux''", remained unpublished until 1846 when it was published by [[Joseph Liouville]] accompanied by some of his own explanations.<ref name="Tignol2001">{{cite book|first=Jean-Pierre|last=Tignol| author-link=Jean-Pierre Tignol |title=Galois' Theory of Algebraic Equations|url=https://archive.org/details/galoistheoryalge00tign_325|url-access=limited|year=2001|publisher=World Scientific|isbn=978-981-02-4541-2|pages=[https://archive.org/details/galoistheoryalge00tign_325/page/n242 232]–3, 302}}</ref> Prior to this publication, Liouville announced Galois' result to the Academy in a speech he gave on 4 July 1843.<ref>Stewart, 3rd ed., p. xxiii</ref> According to Allan Clark, Galois's characterization "dramatically supersedes the work of Abel and Ruffini."<ref name="Clark1984">{{cite book|first=Allan|last=Clark|title=Elements of Abstract Algebra|year=1984|orig-year=1971|publisher=Courier |isbn=978-0-486-14035-3|page=131}}</ref>
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