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