复分析（第2版） [Complex Analysis(Second Edition)] pdf epub mobi txt 电子书 下载 2025

简体网页||繁体网页

☆☆☆☆☆

[德] 弗莱塔格 著

出版社： 世界图书出版公司

ISBN：9787510077838

版次：2

商品编码：11582550

包装：平装

外文名称：Complex Analysis(Second Edition)

开本：24开

出版时间：2014-07-01

用纸：胶版纸

页数：532

正文语种：英文

内容简介

　　This book is a translation of the forthcoming fourth edition of our German book "Funktionentheorie P' (Springer 2005). The translation and the LATEX files have been produced by Dan Fulea. He also made a lot of suggestions for improvement which influenced the English version of the book. It is a pleasure for us to express to him our thanks. We also want to thank our colleagues Diarmuid Crowley, Winfried Kohnen and Jorg Sixt for useful suggestions concerning the translation.

内页插图

目录

Differential Calculus in the Complex Plane C
Ⅰ.1 Complex Numbers
Ⅰ.2 Convergent Sequences and Series
Ⅰ.3 Continuity
Ⅰ.4 Complex Derivatives
Ⅰ.5 The CAUCHY-RIEMANN Differential Equations

Ⅱ Integral Calculus in the Complex Plane C
Ⅱ.1 Complex Line Integrals
Ⅱ.2 The CAUCHY Integral Theorem
Ⅱ.3 The CAUCHY Integral Formulas

Ⅲ　Sequences and Series of Analytic Functions, the Residue　Theorem
Ⅲ.1 Uniform Approximation
Ⅲ.2 Power Series
Ⅲ.3 Mapping Properties of Analytic Functions
Ⅲ.4 Singularities of Analytic Functions
Ⅲ.5 LAURENT Decomposition　A Appendix to III.4 and III.5
Ⅲ.6 The Residue Theorem
Ⅲ.7 Applications of the R,esidue Theorem

Ⅳ Construction of Analytic Functions
Ⅳ.1 The Gamma Function
Ⅳ.2 The WEIERs'rRASS Product Formula
Ⅳ.3 The MITrrAc_LEFFLER Partial FYaction Decomposition
Ⅳ.4 The RIEMANN Mapping Theorem
A Appendix : The Homotopical Version of the CAUCHY　Integral Theorem
B Appendix : A Homological Version of the CAUCHY
Integral Theorem
C Appendix : Characterizations of Elementary Domains

Ⅴ Elliptic Functions
Ⅴ.1 LIOUViLLE'S Theorems
A Appendix to the Definition of the Period Lattice
Ⅴ.2 The WEIERSTRASS -function
Ⅴ.3 The Field of Elliptic Functions
A Appendix to Sect. V.3 : The Torus as an Algebraic Curve
Ⅴ.4 The Addition Theorem
Ⅴ.5 Elliptic Integrals
Ⅴ.6 ABEL'S Theorem
Ⅴ.7 The Elliptic Modular Group
Ⅴ.8 The Modular Function j

Ⅵ Elliptic Modular Forms
Ⅵ.1 The Modular Group and Its Fundamental Region
Ⅵ.2 The k/12-formula and the Injectivity　of the j-function
Ⅵ.3 The Algebra of Modular Forms
Ⅵ.4 Modular Forms and Theta Series
Ⅵ.5 Modular Forms for Congruence Groups
A Appendix to V1.5 : The Theta Group
Ⅵ.6 A Ring of Theta Fhnctions

Ⅶ　Analytic Number Theory
Ⅶ.1 Sums of Four and Eight Squares
Ⅶ.2 DIRiCHLErr Series
Ⅶ.3 DIRICHLET Series with Functional Equations
Ⅶ.4 The RIEMANN <-function and Prime Numbers
Ⅶ.5 The Analytic Continuation of the <-function
Ⅶ.6 A TAUBERian Theorem

Ⅷ Solutions to the Exercises
Ⅷ.1 Solutions to the Exercises of Chapter Ⅰ
Ⅷ.2 Solutions to the Exercises of Chapter Ⅱ
Ⅷ.3 Solutions to the Exercises of Chapter Ⅲ
Ⅷ.4 Solutions to the Exercises of Chapter Ⅳ
Ⅷ.5 Solutions to the Exercises of Chapter Ⅴ
Ⅷ.6 Solutions to the Exercises of Chapter Ⅵ
Ⅷ.7 Solutions to the Exercises of Chapter Ⅶ
R/eferences
Symbolic Notations

前言/序言

评分☆☆☆☆☆

　　纽约时报畅销书

评分☆☆☆☆☆

一只小苍蝇的日记里都会写些什么呢？凯迪克大奖作者朵琳？克罗宁继《蚯蚓的日记》后又一经典佳作！人物造型可爱，语言简洁却不失幽默，知识性与趣味性，让孩子在笑声中了解苍蝇的生活习性，教给孩子敢于拥有梦想，激发孩子想象力和创作力，教孩子爱上写日记。

评分☆☆☆☆☆

　　图书感觉奖之最佳少儿绘本

评分☆☆☆☆☆

　　苍蝇的日记深受美国小朋友喜爱，至今已获奖项：

评分☆☆☆☆☆

　　奥普拉6～9岁少儿书单推荐童书　一只小苍蝇的日记里都会写些什么呢？凯迪克大奖作者朵琳？克罗宁继《蚯蚓的日记》后又一经典佳作！人物造型可爱，语言简洁却不失幽默，知识性与趣味性，让孩子在笑声中了解苍蝇的生活习性，教给孩子敢于拥有梦想，激发孩子想象力和创作力，教孩子爱上写日记。

评分☆☆☆☆☆

　　出版人周刊畅销书

评分☆☆☆☆☆

　　奥普拉6～9岁少儿书单推荐童书　一只小苍蝇的日记里都会写些什么呢？凯迪克大奖作者朵琳？克罗宁继《蚯蚓的日记》后又一经典佳作！人物造型可爱，语言简洁却不失幽默，知识性与趣味性，让孩子在笑声中了解苍蝇的生活习性，教给孩子敢于拥有梦想，激发孩子想象力和创作力，教孩子爱上写日记。

评分☆☆☆☆☆

　　图书感觉奖之最佳少儿绘本

评分☆☆☆☆☆

　　出版人周刊畅销书