Functions of complex variable. The exponential, logarithmic, trigonometric and hyperbolic functions. Infinite series with complex terms, power series, infinite products. General properties of analytic functions. rational functions. Cauchy’s theorem, Cauchy’s integral formula. Fundamental theorem of integral calculus, Laurent’s expansions, zeroes and singularities of analytic functions, mapping by rational functions, maximum and minimum principles, definite integrals, partial fractions, expansion of cot 2z, Riemann Surfaces. Contour integration.

Objective of this course is to enable the students to learn methods and technique with necessary analysis which are based on Complex system and useful while exploring the real life problem and studying universe.

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Book Title : Complex Variables and Applications

Author : J. W. Brown and R. V. Churchill

Edition :

Publisher : McGraw Hill

Book Title : Elements of Complex Variables

Author : Louis L. Pennisi

Edition :

Publisher : Linehart and Winston

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