Eisenstein and the quintic equation
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In a footnote to a short early paper (1844) G. Eisenstein gave an analytic solution of the general quintic equation as mentioned in this paper, and discussed this remark in relation to the well-known work of Hermite (1858) and Kronecker (1861).About:
This article is published in Historia Mathematica.The article was published on 1990-05-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Quintic function.read more
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Book
Beyond the Quadratic Formula
TL;DR: Beyond the Quadratic Formula as discussed by the authors is a self-study book on polynomial equations, with many results presented as exercises and some supplemented by outlines for solution, with a focus on the history of polynomials.
Journal ArticleDOI
On Klein's Icosahedral Solution of the Quintic
TL;DR: In this article, an exposition of the icosahedral solution of the quintic equation first described in Klein's classic work "Lectures on the icoshedron and the solution of equations of the fifth degree" is presented.
Book ChapterDOI
From Abel to Kronecker: Episodes from 19th Century Algebra
Birgit Petri,Norbert Schappacher +1 more
TL;DR: Theorem of Kronecker and Weber as discussed by the authors, which states that every abelian extension of Q is cyclotomic, has been shown to be true for Abelian extensions of Q as well.
Posted Content
On Klein's Icosahedral Solution of the Quintic
TL;DR: The icosahedral solution of the quintic equation first described in Klein's classic work "Lectures on the icosahedron and the solution of equations of the fifth degree" is presented.
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