Metric Spaces and Complex Analysis

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9781906574956: Metric Spaces and Complex Analysis
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KEY FEATURES:

* 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.

New Academic Science is a newly established Science, Technical and Medical publisher.

We offer high level text and reference titles to the academic community. Written by leading scientists and academic professionals affiliated to prestigious institutions worldwide, our books bring into focus innovative research and the latest teaching theories and concepts.

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About the Author:

Dr Amar Kumar Banerjee is presently working as a Reader in Department of Mathematics, Burdwan University, Kolkata. He has been awarded PhD in 2006 from Jadavpur University-the area of his research being based on Topology, Measure and Integration. He teaches Algebra, Real and Complex Analysis at the undergraduate level.

Anindya Dey is presently working as an Assistant Professor in Department of Mathematics, St. Xavier's College, Kolkata and also serves as a Guest Lecturer in Mathematics, St. Xavier's College, Kolkata. He was awarded MPhil in Applied Mathematics from the University of Calcutta and pursued his research in Indian Statistical Institute, Kolkata. His topic of interest being Differential Geometry, Supersymmetry and Topological Field Theory. He teaches Mechanics, Probability, Statistics and Differential Equations at the undergraduate level.

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