復分析 pdf epub mobi txt 電子書下載 2024

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世界圖書齣版公司

2003-6

485

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Graduate Texts in Mathematics

9787506260060

圖書標籤: 復分析數學復變函數復分析7 分析學 GTM 數學分析分析

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发表于2024-06-01

復分析 epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

復分析 pdf epub mobi txt 電子書下載 2024

圖書描述

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra reading material for students on their own. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students.

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復分析下載 mobi epub pdf txt 電子書

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復分析 pdf epub mobi txt 電子書下載

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柯西公式多種身份：柯西黎曼方程的解，或從變分原理得到，同時也具有整體同調性質和局部的版本。黎曼映射定理單連通轉化到單位圓整函數對應有多項式亞純函數對應有理函數米塔列夫勒將有理函數分解為部分多項式定理推廣到亞純函數。運算看做映射，函數視為空間。單連通（等價於可縮空間概念）可以使得點的值提升為包含點的開集，復分析用瞭很多代數概念schwarz引理圓盤自同構和自同態，也用瞭拓撲的同倫和同調。全純是可微的，而解析可展開為冪級數，在復分析中證明全純（可微）就是解析函數。解析函數的實部是調和函數。解析函數的原函數等價於嚮量場找勢函數，泊鬆公式就是根據解析函數的實部來錶達解析函數，復分析的結果僅僅是局部平麵映射的問題，得到的結果對於高維推廣都十分有限，其整體性僅僅是連通性帶來的結果

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