Book “Introducing Metric Spaces” provides a fairly detailed and reasonably rigorous introduction to Basics of elementary parts of the theory of Metric Spaces meant for the undergraduates. The major goal of this text is to help the reader digest the fundamental ingredient of this valuable aspects of Mathematical Analysis without much pain and effort. To achieve this objective, clear statements of pertinent definitions, principles, comments and theorems, together with large number of typical solved problems, are included.