This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. While there are many books on C*-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses. Topics include AF algebras, Bunce-Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group ...