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The fundamental theorem of algebra

  • Martin Aigner
  • Günter M. Ziegler
Chapter

Abstract

Gauss called this theorem, for which he gave four different proofs, the “fundamental theorem of algebraic equations.” It is without doubt one of the milestones in the history of mathematics. As Reinhold Remmert writes in his pertinent survey: “It was the possibility of proving this theorem in the complex domain that, more than anything else, paved the way for a general recognition of complex numbers.”

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Martin Aigner
    • 1
  • Günter M. Ziegler
    • 1
  1. 1.Institut für MathematikFreie Universität BerlinBerlinGermany

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