The first part of this introduction to ergodic theory addresses measure‎-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem‎.‎ The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces‎.‎ Several examples are detailed‎,‎ and the final chapter outlines results and applications of ergodic theory to other branches of mathematics‎.‎