"Topology Of Metric Spaces" gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis. In this second revised and enlarged edition, based on the extensive feedback sent by the readers, some material has been removed, some new material included and nearly all problems are given comments, hints and solutions.