复积分计算方法的探讨大学毕业论文（设计）.doc

分 类 号： TP391 学号： 学号：12345678910 本科毕业论文 复积分计算方法的探讨 Discussion on the calculation method of the complex integral （ 姓 名： 专 业： 指导教师姓名： 指导教师职称： （ 201 年 月 摘 要 复积分即是指复变函数积分.复变函数作为数学的一门基础课，在的分析理论中,复积分是解析函数.解析函数中的重要性质都要复积分来证明.在复积分的计算中柯西积分定理处于地位,就复积分计算方法进行总结和探讨是十分的柯西积分公式、高阶导数公式留数定理对复积分的计算起到很大的.本文将依次介绍复变函数积分的概念以及性质，然后对几种常见的计算复积分的方法作出了系统的归纳和总结，针对每一种计算方法给出例子，从中揭示诸多方法的内在联系，Abstract Complex integration entails Complex integration.Complex function as a basic course in mathematics, in its analysis theory, the main object is to study the complex integration of analytic functions.The most important analytic functions have to prove the nature and presentation through complex integration.In the calculation of complex integral Cauchy integral theorem in an important position, one of the key issues being undone Function Integral Integral theory calculation formula is relatively difficult problem.Therefore, the study of complex integration and its calculation method is very important. In everyday life, the importance of a strong complex function which is analytic function theory and practice have a wide range of applications, it can solve many practical problems in physics and the like.Therefore, the method of calculating the complex to summarize and discuss integration is very important.Cauchys integral formula, Newton - Leibniz formula, higher order derivatives of analytic functions and formulas remain integral theorem for complex calculations play a great help.This article will introduce the concept and the nature of turn complex function integration, and several common methods for calculating complex system integration made and summarized, examples are given for each calculation method, which reveals the internal relations of many methods, and also outlines some of solving complex function integral tips.So, when we re-encounter complex function