Erland Samuel Bring's "Transformation of Algebraic Equations"
History and Overview
2017-12-29 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We translate Erland Samuel Bring's treatise Meletemata quaedam Mathematica circa Transformationem Aequationum Alebraicarum (Some selected mathematics on the Transformation of Algebraic Equations) written as his Promotionschrift at the University of Lund in 1786, from its Latin into English, with modern mathematical notation. Bring (1736 - 98) made important contributions to algebraic equations and obtained the canonical form x^5+px+q = 0 for quintics before Jerrard, Ruffini and Abel. In due course, he realized the significance of the projective curve which now bears his name: the complete intersection of the homogeneous Fermat polynomials of degrees 1,2,3 in CP^4.
Cite
@article{arxiv.1711.09253,
title = {Erland Samuel Bring's "Transformation of Algebraic Equations"},
author = {Alexander Chen and Yang-Hui He and John McKay},
journal= {arXiv preprint arXiv:1711.09253},
year = {2017}
}
Comments
21 pages