Metric Spaces

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This book treats material concerning Metric Spaces, which is crucial for any advanced level course in analysis. Usually this is taught in the latter years of an undergraduate course. Often books on functional analysis have to be used, because there are so few books specifically on metric spaces - a gap that needs to be filled in the literature. It is a comprehensive introduction, with applications, containing a large number of worked examples and exercises for real and complex analysis, sequence spaces and the space of continuous functions. Each concept is followed by a large number of examples, some satisfying the requirements and others not, so that the concept is well understood.