Preface; 1. Sequences by iteration; 2. Metric spaces; 3. The three Cs; 4. The contraction mapping principle; 5. What makes analysis work?; Index.
An introductory text on metric spaces for students who are as interested in the applications as in the theory.
"...a fresh approach to a standard subject in topology and analysis...A healthy, vigorous introduction to analysis." American Scientist
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