{
  "id": "1110.0165",
  "version": "v1",
  "published": "2011-10-02T10:12:12.000Z",
  "updated": "2011-10-02T10:12:12.000Z",
  "title": "The Fundamental Theorem of Algebra: From The Four Basic Operations",
  "authors": [
    "Oswaldo Rio Branco de Oliveira"
  ],
  "comment": "6 pages",
  "journal": "The American Mathematical Monthly 119 no. 9 (2012) 753-758",
  "doi": "10.4169/amer.math.monthly.119.09.753",
  "categories": [
    "math.CA",
    "math.HO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-02T10:12:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12D05",
      "30A10"
    ],
    "keywords": [
      "fundamental theorem",
      "basic operations",
      "direct proof",
      "bolzano-weierstrass theorem",
      "root extraction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.0165R"
    }
  }
}