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arXiv · 1109.1459

The fundamental theorem of algebra: A most elementary proof

Oswaldo Rio Branco de Oliveira
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Abstract

This paper shows an elementary and direct proof of the Fundamental Theorem of Algebra, via Bolzano-Weierstrass Theorem on Minima and the Binomial Formula, that avoids: any root extraction other than the one used to define the modulus function over the complex plane, trigonometry, differentiation, integration, series, arguments by induction and arguments using epsilon's and delta's.

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BibTeXRIS

Oswaldo Rio Branco de Oliveira. 2011-09-07. The fundamental theorem of algebra: A most elementary proof. https://doi.org/10.4169/amer.math.monthly.119.09.753

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