内容简介: 本书为山东省省级双语示范课程,省级精品课程教材,较全面、系统地介绍了复变函数的基础知识。全书共6章,主要内容包括:复数与复变函数、解析函数、复变函数的积分、级数、留数及其应用和共形映射等。内容处理上重点突出,叙述简明,每节末附有适量习题供读者选用。适合高等师范院校数学系及普通综合性大学数学系高年级学生使用。 目录: 前言 Chapter 1 Complex Numbers and Functions 1 Complex Numbers 1.1 Complex Number Field 1.2 Complex Plane 1.3 Modulus, Conjugation, Argument, Polar Representation 1.4 Powers and Roots of Complex Numbers Exercises 2 Regions in the Complex Plane 2.1 Some Basic Concept 2.2 Domain and Jordan Curve Exercises 3 Functions of a Complex Variable 3.1 The Concept of Functions of a Complex Variable 3.2 Limits and Continuous Exercises 4 The Extended Complex Plane and ...
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