## Fundamentals of Complex Analysis with Applications to Engineering and Science |

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### Contents

Analytic Functions | 53 |

Elementary Functions | 99 |

Complex Integration | 149 |

Copyright | |

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## What people are saying - Write a reviewWe haven't found any reviews in the usual places. ## Contents
8 other sections not shown ## Common terms and phrasesanalytic continuation analytic function analytic inside angle antiderivative boundary values Cauchy Cauchy-Riemann equations Cauchy's coefficients complex numbers complex plane compute conformal map constant Contour for Example defined Definition deformed depicted in Fig derivative differentiable essential singularity evaluate Exercises Figure Find function f(z given harmonic function Hence Hilbert transform HINT integral formula integrand interior inverse Laplace's equation Laurent series Lemma limit line segment loop Mobius transformation multiplication neighborhood nonzero one-to-one pole of order polygon polynomial positively oriented power series problem proof properties Prove rational function real and imaginary real axis real number removable singularity residue Riemann sphere satisfies Schwarz-Christoffel sequence Show simple closed contour simple pole simply connected simply connected domain sinusoid Solution solve Taylor series Theorem traversed once unit circle unit disk upper half-plane vector verify z-plane z-transform zero ## Bibliographic information |