A Proof of Descartes’ Rule of Signs

In 1637 Descartes, in his famous Géométrie, gave the rule of the signs without a proof. Later many different proofs appeared of algebraic and analytic nature. Among them in 1828 the algebraic proof of Gauss. In this note we present a proof of Descartes’ rule of signs that uses the roots of the first...

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Bibliographic Details
Main Author: Antonio Fontana
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2018-12-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/425