Complex Variables

Contents

--------------->>> Complex Numbers <<<--------------- Polar form Multiple comlex numbers De Moiver's theorem Exercise --------------->>> Complex Functions <<<--------------- Exponential functions Logarithmic functions Hyperbolic functions Trigonometric functions Analytic function Exercise --------------->>> Mapping <<<--------------- Mappinf by elementary functions Conformal mapping General transformation Bilinear transformation Exercise --------------->>>Integration of Complex Functions <<<--------------- Cauchy integral theorem Cauchy integral formula Cauchy theorem of residues Exercise --------------->>> Engineering Applications <<<--------------- Powers in dynamic systems i-operator (forward and backward) Parasetic networks Fluid flow D-decomposition theory Power series formulae Exercise