## The fundamental theorem of algebra: A visual approach

Amherst College Digital Collections > The Octagon

Creator | Velleman, Daniel J. (Department of Mathematics and Statistics, Amherst College) |
---|---|

Title | The fundamental theorem of algebra: A visual approach |

Abstract | The fundamental theorem of algebra says that for every nonconstant polynomial p with complex coefficients, there is a complex number z such that p(z) = 0. In this paper we present a method of visualizing functions on the complex plane, and use this method to illustrate why the fundamental theorem of algebra is true. We also discuss the history of the fundamental theorem of algebra and its proofs. |

Journal Title | Mathematical Intelligencer |

Publication Date | November 5, 2015 |

Identifier (DOI) | 10.1007/s00283-015-9572-7 |

Citation | Velleman, Daniel J. "The fundamental theorem of algebra: A visual approach." Mathematical Intelligencer 37.4 (2015): 12-21. |

Languages | English |

Genre | Article |

Subject | Fundamental theorem of algebra |

Subject | Numbers, Complex |

Subject | Equations, Roots of |

Subject | Polynomials |

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) |