Complex Analysis pdf epub mobi txt 電子書下載2025

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出版者:McGraw-Hill Education

作者:Lars Ahlfors

出品人:

頁數:331

译者:

出版時間:1979-1-1

價格:USD 161.82

裝幀:Hardcover

isbn號碼:9780070006577

叢書系列:International Series in Pure and Applied Mathematics

圖書標籤:

數學
復分析
Mathematics
Analysis
分析
教材
Ahlfors
單復變函數
復分析
數學
高等數學
函數理論
復變函數
解析函數
積分理論
級數展開
留數定理
共形映射

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具體描述

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.