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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Aigner, M., Ziegler, G.M. (2018). The fundamental theorem of algebra. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-57265-8_21
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DOI: https://doi.org/10.1007/978-3-662-57265-8_21
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