Metric Spaces and Complex Analysis

* Concept developed from the basics.
* Mathematical logic behind each result explained with simple examples and illustrations.
* Pictorial representation of main items for clarity of visualisation.

ABOUT THE BOOK:

The main purpose of this book Metric Spaces and Complex Analysis, is to provide a preliminary but comprehensive knowledge of metric spaces as well as complex analysis to the beginners. However, this work is expected to serve well as an aid to advanced graduate students studying these topics because the topological ideas dealt with here can be enjoyed with an elementary knowledge of real analysis and geometry. For clarity of visualisation, pictorial representation of main items has been given a priority, wherever necessary. The volume is enriched with numerous illustrations so as to make it user-friendly. It contains approximately fifty diagrams, and more than hundred examples and nearly one hundred fifty exercises.

CONTENTS:

* Metric Spaces: Basic Properties and Examples
* Open Sets, Closed Sets and Sub-spaces
* Complete Metric Spaces
* Continuity, Compactness and Connectedness
* Fixed Point Theorems and their Applications
* Complex Numbers
* Topology of Complex Plane and Complex Functions
* Limit, Continuity and Differentiability
* Conformal Mapping

READERSHIP:

* UG students and teachers of Mathematics, Computer Science/Engineering, Operations research, Electrical engineering and economics
* Scientists, Professionals and practising engineers
* University and college libraries.

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