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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 engineeringISBN: 9789380026022
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Pages : 296
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