2 papers
math.CV2017
On Gauss's first proof of the fundamental theorem of algebra
Soham Basu, Daniel J. Velleman
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 con…
math.CA2017
Strictly Real Fundamental Theorem of Algebra
Soham Basu
Given any polynomial with real coefficients, the existence of a real quadratic polynomial factor is proven using only basic real analysis. The aim is to provide an approachable pro…