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Introduction to Complex Analysis

Introduction to Complex Analysis
by W W L Chen

Publisher: Macquarie University 2008

A set of notes suitable for an introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series, uniqueness and the maximum principle; isolated singularities and Laurent series; Cauchy's integral theorem revisited; residue theory; evaluation of definite integrals; harmonic functions and conformal mappings; Möbius transformations; Schwarz-Christoffel transformations; uniform convergence.

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