## On Gauss's First Proof of the Fundamental Theorem of Algebra

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Creator | Velleman, Daniel J. |
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Creator | Basu, Soham |

Title | On Gauss's First Proof of the Fundamental Theorem of Algebra |

Abstract | Carl Friedrich Gauss is often given credit for providing the first correct proof of the fundamental theorem of algebra in his 1799 doctoral dissertation. However, Gauss’s proof contained a significant gap. In this paper, we give an elementary way of filling the gap in Gauss’s proof. |

Publication Date | January 1, 2017 |

Identifier (DOI) | 10.4169/amer.math.monthly.124.8.688 |

Citation | Velleman, Daniel J. and Basu, Soham "On Gauss's First Proof of the Fundamental Theorem of Algebra." American Mathematical Monthly 124 (2017): 688-694 |

Languages | English |

Edition | Author's Final Version |

Genre | Articles |

Subject | Algebra |

Subject | Fundamental theorem of algebra |

Subject | Polynomials |

Subject | Equations, Roots of |

Subject | Numbers, Complex |

Part of | The Amherst College Octagon |

Repository | The Amherst College Octagon |

Access and Use | Creative Commons Attribution-NonCommercial-NoDerivatives license (CC BY NC ND 4.0) |