English

The Fundamental Theorem of Algebra: From The Four Basic Operations

Classical Analysis and ODEs 2012-12-27 v1 History and Overview

Abstract

This paper presents an elementary and direct proof of the Fundamental Theorem of Algebra, via Bolzano-Weierstrass Theorem on Minima, that avoids: every root extraction, angle, non-algebraic functions, differentiation, integration, series and arguments by induction.

Keywords

Cite

@article{arxiv.1110.0165,
  title  = {The Fundamental Theorem of Algebra: From The Four Basic Operations},
  author = {Oswaldo Rio Branco de Oliveira},
  journal= {arXiv preprint arXiv:1110.0165},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T19:13:48.042Z