复分析
Complex Analysis
Lars Valerian Ahlfors · 初版 1953 年
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作为单复变函数的标准信息来源，本书凭借始终严谨而不必无谓地涉足高深或过度专门的材料，在这一领域保持了广泛的受欢迎程度。难点已得到澄清，全书经过准确性审校，符号与术语也已现代化。第 2 章“复函数”包含一节简述共形映射下长度与面积的变化，第 8 章“全局解析函数”的大部分内容已重写，以便向读者介绍术语……
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Lars Ahlfors 的《Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable》让我读得很享受。不过，我是在已经懂复分析之后才读的。
"Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable" By Lars Ahlfors was very enjoyable to me. However, I read it after I already knew Complex Analysis.
……与代数几何的依赖关系，而不是硬性依赖。入门时具备这方面知识是好的，但现实地说，不懂代数几何就无法掌握这门学科。你还需要分析，特别是曲线所需的复分析。实分析和拓扑学也应该覆盖，但我猜凭着一股韧劲，没有它们你也能应付过去。把这些转化为具体建议，以你的情况，我会试着去……
…dependency with algebraic geometry than a hard one. It's good to have walking in, but realistically you can't master the subject without knowing algebraic geometry. You'll also need analysis, in particular complex analysis for curves. Real analysis and topology should also be covered but I suppose with tenacity you could get by without them. To translate these into concrete suggestions, in your position I'd try to work…
……选。4. [Gilbert_Strang]_Introduction_to_Linear_Algebra —— 本科水平的线性代数。同一个人有 MIT OCW 的讲座。5. [Peter_D._Lax]_Linear_Algebra_and_Its_Applications 复变量/复分析：1. [John_Conway]_Functions_of_One_Complex_Variable_I —— 我的首选 2. [Lars_Ahlfors]_Complex_Analysis_(Third_Edition) —— 经典。不过我不是它的铁杆粉丝。
…pick. 4. [Gilbert_Strang]_Introduction_to_Linear_Algebra - Undergraduate level linear algebra. Same guy has MIT OCW lectures. 5. [Peter_D._Lax]_Linear_Algebra_and_Its_Applications Complex Variables/Complex Analysis: 1. [John_Conway]_Functions_of_One_Complex_Variable_I - My top pick 2. [Lars_Ahlfors]_Complex_Analysis_(Third_Edition) - Classic. Not a big fan though.