代数基本定理的初等证明

The Demonstration of a Basic Algobraic the orem

利用数学分析中在有界闭区域上二元连续函数的性质，首先证明ｆ（ｚ）＝ｚ~ｎ＋ｂ_１ｚ^（ｎ－１）＋…＋ｂ_ｎｚ_０∈Ｃ，使然后用反证法证明ｚ_０就是一根。

In this paper,using the property of continuous functions of two variables on bounded closed domains in mathematical analysis,we prove that for f(z)=zn+b1zn-1+...+bn-1,z+bn there exist z0 ∈C such that |f(z0)|=|f(z)|, then by the proof by contradiction,it is proved that z0 is the root of f(z) =0.