This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and geometry of complex numbers, and then we will make our way via differentiation, integration, complex dynamics, power series representation and Laurent series into territories at the edge of what is known today.
Advanced topics in Complex Analysis,the theorems of Hurwitz and Rouche, the Open Mapping theorem, the Inverse and Implicit Function theorems, applications of those theorems, behaviour at a critical point, analytic branches, constructing Riemann surfaces for functional inverses, Analytic continuation and Monodromy, Hyperbolic geometry and the Riemann Mapping theorem
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e-book enables you to access interactive reading material to strengthen the skills learned in the sessions.
Online Lab enables you to practice the application of concepts you have learnt in the sessions in the virtual environment.
Tutorials enables you to get easy learning with clear, crisp, and to-the-point content on a wide range of technical and non-technical subjects without any preconditions and impediments.