\(\underline{Def:}\)A func \(U(\subset \mathbb{C}) \stackrel{f}\longrightarrow \mathbb{C}\)is (complex) differentiable at a point \(z_0 \in intU\)(int:内部) If f is cpx diff at \(z_0\),we call the limit the (cpx) derivative of f at \(z_0\) and devote i…

Exercises 3.2 21. (a). For $\omega = sinz$, what is the image of the semi-infinite strip $S_1 = \{x+iy|-\pi<x<\pi,y>0\}$ (b). what is the image of the smaller semi-infinite strip $S_2 = \{x+iy|-\frac{\pi}{2}<x<\frac{\pi}{2},y>0\}$ Soluti…

List of mathematical abbreviations From Wikipedia, the free encyclopedia 数学缩写列表 维基百科,自由的百科全书 This article is a listing of abbreviated names of mathematical functions, function-like operators and other mathematical terminology. 这篇文章是一个数学函数,类似于函数的操作符和其…

<国外优秀数学教材选评>推荐书目下载 具体内容请查看原内容: http://www.library.fudan.edu.cn/wjzx/list/373-1-20.htm 或者http://202.120.227.7/wjzx/list/373-1-20.htm 注: 由于国外教材更新频繁,其中非数学专业教材尤为显著,相较于原版本,其中有部分版本已经更新,以下提供的是尽所能搜索到的最新版本 所有文件都来源网络,余不敢独享,特整理发布.尽力择高质量版本分享,但难免有所疏漏,烦请提出宝贵意见 由于…

1.老老实实把课本上的题目做完.其实说科大的课本难,我以为这话不完整.科大的教材,就数学系而言还是讲得挺清楚的,难的是后面的习题.事实上做1道难题的收获是做10道简单题所不能比的. 2.每门数学必修课至少要看一本参考书,尽量做一本习题集. 3.数学分析别做吉米,除非你太无聊,推荐北大方企勤的习题集.此外注意一下有套波兰的数学分析习题集,是不是搞得到中文或英文版. 4.线性代数推荐普罗斯库列科夫的<<线性代数习题集>>和法捷耶夫的<<高等代数习题集>>.莫斯科…

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For every matrix $A$, the matrix $$\bex \sex{\ba{cc} I&A\\ 0&I \ea} \eex$$ is invertible and its inverse is $$\bex \sex{\ba{cc} I&-A\\ 0&I \ea}. \eex$$ Use this to show that if $A,B$ are any two $n\times n$ matrices, then $$\bex \sex{\ba{c…

I find it may cost me so much time in doing such solutions to exercises and problems....I am sorry that I could not be persistent in doing it...Wish I could just recover it later on. [Bhatia.Matrix Analysis.Solutions to Exercises and Problems]PrI.6.1…

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About SQLite See Also... Features When to use SQLite Frequently Asked Questions Well-known Users Books About SQLite Getting Started SQL Syntax Pragmas SQL functions Date & time functions Aggregate functions C/C++ Interface Spec Introduction List of C…