The book entitled Complex Analysis - A Short Course contains five chapters. This book contains Power series representation of analytic function, zeros of an analytic function, the index of a closed curve, Cauchys theorem and integral formula, counting zeros, the open mapping Theorem. Classification of singularities, residues, the argument principle, the maximum principle, Schwarz Lemma, convex functions and Hadamards three circles theorem, Phragmen lindelof theorem. Spaces of analytical functions, Riemanns mapping theorem, Weierstrass factorization theorem, factorization of sine function, Gamma functions, Riemann zeta functions. Runges theorem, Mittag-Lefflers theorem, Schwarz reflection principle, analytic continuation along a path, Monodromy theorem, Basic properties of harmonic functions, harmonic functions on a disk, Greens functions. Entire functions, Jensens formula, Genus and order of an Entire functions, Hadamard Factorization theorem, Range of an analytic function, Blochs theorem, the little Picard theorem, Schottkys theorem, the great Picard theorem.

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Prof Dr N W Khobragade M.Sc (Stats) M.Sc (Maths) MBA, Ph.D (Maths), Ph.D (Stats), Dept. of Maths R.T.M Nagpur University, Nagpur. Seventeen students have been awarded Doctorate degree (Ph.D) under his supervision. He has more than 220 research publication and published 25 books.