论文标题
多项式根的连续性
Continuity of the roots of a polynomial
论文作者
论文摘要
令$ k $为具有绝对值的代数封闭字段。本说明给出了经典结果的基本证明，即多项式（$ k $）的多项式根源是多项式系数的连续函数。
Let $K$ be an algebraically closed field with an absolute value. This note gives an elementary proof of the classical result that the roots of a polynomial with coefficients in $K$ are continuous functions of the coefficients of the polynomial.
