Home
:
Book details
:
Book description
Description of
Complex Analysis,6th Edition
SYLLABUS- COMPLEX ANALYSIS: Unit-1 Functions of a complex variable, Concepts of limit, continuity and differentiability of complex functions, Analytic functions, Cauchy-Riemann equations (Cartesian and polar form), Harmonic functions, Orthogonal system, Power series as an analytic function. Unit-2 Elementary functions, Mapping by elementary functions, Linear and bilinear transformations, Fixed points, Cross ratio, Inverse points and critical points, Conformal transformations. Unit-3 Complex Integration, Line integral, Cauchy's fundamental theorem, Cauchy's integral formula, Morera's theorem, Liouville theorem, Maximum Modulus theorem, Taylor and Laurent series. Unit-4 Singularities and zeros of an analytic function, Rouche's theorem, Fundamental theorem of algebra, Analytic continuation. Unit-5 Residue theorem and its applications to the evaluation of definite integrals, Argument principle.