On continuous dependence of roots of polynomials on coefficients

@inproceedings{Alexanderian2013OnCD,
  title={On continuous dependence of roots of polynomials on coefficients},
  author={Alen Alexanderian},
  year={2013}
}
It is a well know result that roots of a polynomial depend continuously on its coefficients. Here we review this basic result and produce a proof via the use of Rouché’s Theorem. We also provide a simple result regarding real simple roots of polynomials with real coefficients. 

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