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TB Complex Analysis, Edition-2nd
SYLLABUS- COMPLEX ANALYSIS, Complex Variables: Functions of a complex variable Limit, continuity and differentiability. Analytic functions: Analytic functions, Cauchy and Riemann equations, Harmonic functions. Complex Integration: Complex integrals, Cauchy's theorem, Cauchy's integral formula, Morera’s Theorem, Liouville’s Theorem, Taylor's series, Laurent's series, Poles and singularities. Residues: Residues, the Residue theorem, the principle part of a function, Evaluation of Improper real integrals.