Metric Spaces

Encouraged by the response to the first edition the authors have thoroughly revised Metric Spaces by incorporating suggestions received from the readers. Table Of Contents: Preface / Preliminaries / Introductory Concepts / Completeness / Continuous Functions / Compactness / Connectedness / Fixed Point Theorems & Their Applications Audience Honours and Postgraduate Students Special Features: Illustrates the concept of neighborhood in the beginning, open sets and interior points are defined via neighborhood. The proofs of results relating to open sets and interior points are modified accordingly. Closed sets are defined as the complement of an open set and the necessary changes in the statements of the results and their proofs on closed sets are made ? The concept of equivalent metrics has been introduced in Chapter 2 ? Motivation for homeomorphism ? A number of results, examples and counter examples along with examples of non-Metric Spaces Included ? Problems solved ? Numerous problems ? Geometrical interpretation of open spheres in R and their figures are added