Introduction to the theory of complex functions
著者
書誌事項
Introduction to the theory of complex functions
（Series in pure mathematics, v. 25）
World Scientific, c2002
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内容説明・目次
内容説明
This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region — which is very useful in applications but not seen in textbooks written in English.
目次
- Complex numbers and complex functions
- fundamentals of analytic functions
- complex integrals
- theory of series for analytic functions
- theory of residue
- analytic extension
- conformal mapping
- harmonic functions
- analytic functions applied to planar flow.
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