复函数在代数基本定理证明中的应用

应用复变函数的知识，从复变函数的解析性出发，分别利用最大模、最小模原理和复积分的有关定理中的柯西积分定理、平均值定理对代数学基本定理给出了几种证明的方法，并进一步指出复变函数中儒歇定理和残数定理在解决根的存在性问题及在实函数中某些广义积分的应用。

The Application of Complex Function in Algebraic Basic Theory Proof

In this paper, the author, by using knowledge of complex function and the analytic of complex function, puts forward several means of algebraic basic theory proof with the maximal modular theory, the minimal modular theory, Cauchy integral theory and the average value theory. Then he points out that the application of Rouche theory and residue theory in settling the problem of radix existence and generalized integral.