復分析（第2版） [Complex Analysis(Second Edition)] pdf epub mobi txt 電子書 下載 2025

簡體網頁||繁體網頁

☆☆☆☆☆

[德] 弗萊塔格 著

齣版社： 世界圖書齣版公司

ISBN：9787510077838

版次：2

商品編碼：11582550

包裝：平裝

外文名稱：Complex Analysis(Second Edition)

開本：24開

齣版時間：2014-07-01

用紙：膠版紙

頁數：532

正文語種：英文

內容簡介

　　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.

內頁插圖

目錄

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

評分☆☆☆☆☆

　　奧普拉6～9歲少兒書單推薦童書　一隻小蒼蠅的日記裏都會寫些什麼呢？凱迪剋大奬作者朵琳？剋羅寜繼《蚯蚓的日記》後又一經典佳作！人物造型可愛，語言簡潔卻不失幽默，知識性與趣味性，讓孩子在笑聲中瞭解蒼蠅的生活習性，教給孩子敢於擁有夢想，激發孩子想象力和創作力，教孩子愛上寫日記。

評分☆☆☆☆☆

This book is a translation of the forthcoming fourth edition of our German book &quot;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.

評分☆☆☆☆☆

　　紐約時報暢銷書

評分☆☆☆☆☆

　　蒼蠅的日記深受美國小朋友喜愛，至今已獲奬項：

評分☆☆☆☆☆

　　齣版人周刊暢銷書

評分☆☆☆☆☆

　　齣版人周刊暢銷書

評分☆☆☆☆☆

　　蒼蠅的日記深受美國小朋友喜愛，至今已獲奬項：

評分☆☆☆☆☆

　　紐約時報暢銷書

評分☆☆☆☆☆

　　2008年度美國銀行街教育學院最佳童書