Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems and a member of both the National Academy of Sciences and the American Philosophical Society, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises.