英语翻译摘要：留数定理是复变函数中重要的工具与概念

1个回答

The residue theorem of complex variable function is an important tool and concept, need to understand the concept of the isolated singularity and isolated singularity classification and function in the isolated singularity of the residue concept. Master residue calculation method, especially a pole residue and, actually using the residue of some real integrals. The residue is of complex variable function one of the important concept, it and analytic function in isolated singular point Laurent expansion, Cauchy composite closed theorem are closely linked. Now the study of residue theory are Cauchy integral theory continued, inserted in the middle of the Taylor series and Laurent series is a powerful tool in studying the analytic function. In the calculation of complex functions along the closed curve points, often converted to function in various isolated singular point residue, so in practical and theoretical research have very extensive application. Calculation and application of the residue itself is always the emphasis and difficulty in learning, there are simple summary and promotion