References
- Cucker, F., Corbalan, A. G. (1989). An alternate proof of the continuity of the roots of a polynomial. Amer. Math. Monthly 96:342–345. DOI: 10.2307/2324091.
- Harris, G., Martin, C. (1987). The roots of a polynomial vary continuously as a function of the coefficients. Proc. Amer. Math. Soc. 100:390–392. DOI: 10.2307/2045978.
- Henriksen, M., Isbell, J. R. (1953). On the continuity of the real roots of an algebraic equation. Proc. Amer. Math. Soc. 4:431–434. DOI: 10.1090/S0002-9939-1953-0055664-2.
- Hirose, K. (2020). Continuity of the roots of a polynomial. Amer. Math. Monthly 127:359–363. DOI: 10.1080/00029890.2020.1704166.
- Lutz, R., Goze, M. (1981). Nonstandard Analysis, Lecture Notes in Mathematics 881. Berlin: Springer-Verlag.
- Marden, M. (1966). Geometry of Polynomials. Mathematical Surveys, Vol. 3. Providence, RI: American Mathematical Society.
- Ostrowski, A. (1973). Solution of Equation in Euclidean and Banach Spaces. New York: Academic Press.
- Rahman, Q. I., Schmeisser, G. (2002). Analytic Theory of Polynomials. Oxford: Clarendon Press.
- Remm, E. Perturbations of polynomials and applications. arXiv:2208.09186.
- Ross, D. A. Yet another proof that the roots of a polynomial depend continuously on the coefficients, arXiv:2207.00123.
- Whitney, H. (1972). Complex Analytic Manifolds. Reading: Addison-Wesley.