Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable 
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Review: Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics)
User Review  Ronald Lett  GoodreadsA beautiful exposition of complex analysis. One warning, though: you should have a good understanding of complex algebra and calculus before reading this text, as it is dense. Read full review
Review: Complex Analysis
User Review  Julia  Goodreadsextraordinary book for beginning through advanced complex analysis, with a focus on the geometric  but by no means lax. thoughtful, well paced, precise. Read full review
Contents
PREFACE  1 
The geometric representation of complex numbers  10 
Linear transformations  22 
Copyright  
20 other sections not shown
Common terms and phrases
algebraic analytic continuations analytic function angle applied arbitrary boundary bounded Cauchy's theorem choose circle closed curve coefficients compact set complement complex number condition conformal mapping conjugate consider constant contained corresponding cycle defined definition denote derivative differential equation direct analytic continuations end points entire function equal exists extended plane finite number follows formula function elements function f(z half plane harmonic function hence homotop imaginary inequality infinite initial branch integral interval lemma linear transformation mapping maximum principle multiple neighborhood notation obtain open sets pole polynomial proof prove radius of convergence rational function real axis real numbers rectangle region 12 removable singularity residue Riemann surface roots satisfies sequence simple simply connected simply connected region singlevalued singularity solution subharmonic subset sufficient Suppose symmetric tion topological uniform convergence uniformly vanishes variable whole plane zplane