Metric Spaces and Complex Analysis

Learners having idea of fundamental Mathematics can easily understand the fundamentals of functions of a complex variable, metric spaces, and various theorems like Cantor’s theorem, Banach Fixed point Theorem, Cauchy-Riemann equations, Cauchy-Goursat theorem, Cauchy integral formula, Liouville’s theorem and the fundamental theorem of algebra.

The main objectives are 

To understand the concept of a metric space, to familiarize the ideas of open and closed sets, to learn the concept of continuity, homeomorphism and connectedness, to provide a foundation for more advanced courses in Mathematical analysis, to provide a new perspective on many of the ideas studied in Real Analysis, to study the techniques of complex variables and functions together with their derivatives, Contour integration and transformations and  developing a clear understanding of the fundamental concepts of Complex Analysis