485 ريض

Complex number, Polar and Cartesian representation of Complex number,   Continuity, Limits of Complex functions, Analytic functions, Cauchy-Riemann Theory, Harmonic functions, exponential, trigonometric, hyperbolic and logarithmic functions. Complex integration, path integration , Cauchy theory, integral Cauchy formula, boundness of abstract value of the analytic function, representation of an analytic function by series, Taylor and Laurant Series, Zeros, Singular points, Residue Theorem, Applications in real and improper integrals calculations.