On Gauss's first proof of the fundamental theorem of algebra

2017/04/21 by Basu, Soham, Velleman, Daniel J.
#01A50 #12D10 #30C15 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.06585

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.

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