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Functions of a Complex Variable

Functions of a Complex Variable

Functions of a Complex Variable

By Adaptive Books

Table of Contents

Introduction. The Complex Variable

Elementary Functions of a Complex Variable

Analytic functions of a complex variable

Line Integrals of Complex Functions

Cauchy's Integral Theorem

Taylor series

Laurent Series

Singularities of analytic functions

Singularities at infinity

Significance of singularities

Residues

Evaluation of real definite integrals

Theorems on limiting contours

Indented contours

Conformal mapping

Application to two-dimensional fluid flow

Other applications of conformal mapping

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