The book divided in ten chapters deals with:
• Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers and regions in the complex plane.
• Limit, continuity, differentiability.
• Different kinds of complex valued functions.
• Different types of transformations.
• Conformal mappings of different functions.
• Properties of bilinear and special bilinear transformation.
• Line integrals, their properties and different theorems.
• Sequences and series, Power series, Zero’s of functions, residues and residue theorem, meromorphic functions, different kinds of singularities.
• Evaluation of real integrals.
• Analytic continuation, construction of harmonic functions, infinite product, their properties and Gamma function.
• Schwarz-Christoffel transformations, mapping by multi valued functions, entire functions.
• Jenson’s theorem and Poisson-Jenson theorem.
The book is designed as a textbook for UG and PG students of science as well as engineering.

Algebra of Complex Numbers / Analytic Functions / Elementary Functions / Conformal Mappings / Complex Integration / Complex Sequences, Series and Power Series / Zeros Singularities and Residue / Special Topics / Mapping by Multivalued Functions and Schwarz-Christoffel Transformation / Growth of Entire Functions / Index.

UG and PG students of science and engineering.