On the history of the fundamental theorem of algebra: theory of equations and integral calculus
type: Item
instance of: scholarly article
title: On the history of the fundamental theorem of algebra: theory of equations and integral calculus
zbMATH Open document ID: 0766.01018
DOI: 10.1007/BF00496870
author: Christian Gilain
published in: Archive for History of Exact Sciences
publication date: 1993-04-01T00:00:00Z
review text: Cet article présente une histoire, marquée par trois moments principaux, du théorème fondamental de l'algèbre -- les premières formulations du théorème, sans démonstration, au début du \(\text{XVII}^ e\) siècle (Girard notamment); -- les premières tentatives de démonstration au milieu du \(\text{XVIII}^ e\) siècle (d'Alembert, Euler); -- la première démonstration rigoureuse (Gauss). L'auteur dissocie deux résultats: le théorème fondamental de l'algèbre, appelé encore théorème de d'Alembert (TFA), et le théorème de factorisation linéaire, nommé parfois théorème de Kronecker (TFL). Cette distinction mathématique qui apparaît entre TFA et TFL permet de reprendre l'analyse historique dans cet article.
Mathematics Subject Classification ID: 01A55
zbMATH DE Number: 148357
zbMATH Keywords: linear factorization
zbMATH Keywords: Girard
zbMATH Keywords: d'Alembert
zbMATH Keywords: Gauss
zbMATH Keywords: Euler
Wikidata QID: Q56091308
MaRDI profile type: Publication
cites work: Q5572275
cites work: Q4777247
cites work: Q4733840
cites work: Sur l'histoire des demonstrations analytiques du théorème fondamental de l'algèbre
cites work: Q3328492
cites work: Der Mathematiker Abraham de Moivre (1667--1754)
cites work: The fundamental theorem of algebra and complexity theory
cites work: Q5545492
cites work: On the Fundamental Theorem of Algebra
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description: scientific article; zbMATH DE number 148357