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Full Description
The main purpose of this book, based on undergraduate level courses in mathematics is to provide a preliminary but comprehensive knowledge of metric spaces as well as complex analysis for beginners. The volume is enriched with numerous illustrations to make it user-friendly. It contains approximately fifty diagrams, more than one hundred examples and nearly one hundred and 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