Summary: ON THE BUDAN-FOURIER CONTROVERSY in 1796, 1797, and in 1803.
Alkiviadis G. Akritas
University of Kansas
Department of Computer Science
Lawrence, Kansas 66045
In what follows we indicate that these
two theorems lead to two completely different
methods for the isolation of the real roots
In this short note we deal with the
theorems by Budan and Fourier regarding the
solution of polynomial equations with
rational coefficients [i].
Budan's theorem appeared in 1807 in the
"Nouvelle m~thode pour la resolution
des equatlons numerlques",
whereas, Fourier's theorem was first pub-
lished in 1820 in:
"Le Bulletin des sciences par la
Soci~t~ Philomatique de Paris"