The fundamental theorem of algebra before Carl Friedrich Gauss.
Pla i Carrera, Josep
Publicacions Matemàtiques, Tome 36 (1992), p. 879-911 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1992-01-01
DMLE-ID : 4248 
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     title = {The fundamental theorem of algebra before Carl Friedrich Gauss.},
     journal = {Publicacions Matem\`atiques},
     volume = {36},
     year = {1992},
     pages = {879-911},
     mrnumber = {MR1210025},
     zbl = {0776.01005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41758}
}

Pla i Carrera, Josep. The fundamental theorem of algebra before Carl Friedrich Gauss.. Publicacions Matemàtiques, Tome 36 (1992) pp. 879-911. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41758/