复积分的几种常用计算方法的研究

Research on Several Common Computational Methods of Complex Integral

本文主要研究复积分的几种常用计算方法,如参数方程法,Newton-Leibnitz公式,参数方程法的重要结论,Cauchy-Gusa定理,Cauchy积分公式,高阶导数公式,复合闭路定理,留数定理等.选取典型例题,针对每个例子给出相应的方法,比较、分析,归纳总结出不同类型复积分的解题技巧。

This paper mainly studies the complex integration of several common calculation methods,such as parametric equation method,Newton-Leibnitz formula, an important conclusion parametric equation method,Cauchy-Gusa theorem,Cauchy integral formula,higher derivative formula,complex closed circuit theorem, residue theorem,etc.Select typical examples and give the corresponding method for each example,comparison,analysis,then summarize the different types of complex integrals problem solving techniques.