The fundamental theorem of algebra before Carl Friedrich Gauss.

Pla i Carrera, Josep. "The fundamental theorem of algebra before Carl Friedrich Gauss.." Publicacions Matemàtiques 36.2B (1992): 879-911. <http://eudml.org/doc/41758>.

@article{PlaiCarrera1992,
abstract = {This is a paper about the first attemps of demonstration of the fundamental theorem of algebra.Before, we analyze the tie between complex numbers and the number of roots of an equation of n-th degree.In the second paragraph, we see the relation between integration and the fundamental theorem.Finally, we observe the linear differential equation with constant coefficients and Euler's position about the fundamental theorem, and then we consider d'Alembert's, Euler's and Laplace's demonstrations.It is a synthesis paper dedicated to Pere Menal, a colleague and a friend.},
author = {Pla i Carrera, Josep},
journal = {Publicacions Matemàtiques},
keywords = {complex numbers; Cardano; d'Alembert; Leibniz; Bombelli; Viète; Girard; Descartes; Wallis; Johann Bernoulli; Euler; Lagrange},
language = {eng},
number = {2B},
pages = {879-911},
title = {The fundamental theorem of algebra before Carl Friedrich Gauss.},
url = {http://eudml.org/doc/41758},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Pla i Carrera, Josep
TI - The fundamental theorem of algebra before Carl Friedrich Gauss.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 879
EP - 911
AB - This is a paper about the first attemps of demonstration of the fundamental theorem of algebra.Before, we analyze the tie between complex numbers and the number of roots of an equation of n-th degree.In the second paragraph, we see the relation between integration and the fundamental theorem.Finally, we observe the linear differential equation with constant coefficients and Euler's position about the fundamental theorem, and then we consider d'Alembert's, Euler's and Laplace's demonstrations.It is a synthesis paper dedicated to Pere Menal, a colleague and a friend.
LA - eng
KW - complex numbers; Cardano; d'Alembert; Leibniz; Bombelli; Viète; Girard; Descartes; Wallis; Johann Bernoulli; Euler; Lagrange
UR - http://eudml.org/doc/41758
ER -