# The fundamental theorem of algebra before Carl Friedrich Gauss.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2B, page 879-911
- ISSN: 0214-1493

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topPla 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 -

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