研究和总结了用复变函数的观点与方法来证明代数基本定理。

This paper proves fundamental theorem of algebra with Liouville's theorem , logarithmic residue theorem , argument principle, Rouche theorem, maximum (minimum)modules principle and zero point theorem.

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代数体函数的第二基本定理是一个基本而重要的定理，但它是关于常数的，其适用范围有局限性。

The second fundamental theorem of algebraical functions is fundamental and important but it is about constant Numbers and its applicative area has a limit.

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从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。

This paper uses several methods of complex functions theorey to prove fundamental theorem of algebra by argument principle, maximum modulus principle and minimum modulus principle.

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后者以高斯的“代数方程的基本定理”作为结束。

The latter is concluded by Gauss's famous "Fundamental Theorem of Algebra".

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从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。

The minimum modulus principle is proved by using the preserving field theorem, and the span of minimum modulus point is discussed.

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从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。

The minimum modulus principle is proved by using the preserving field theorem, and the span of minimum modulus point is discussed.

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