This book provides an essential introduction to chaotic maps in finite-dimensional spaces. The authors provide background on chaos as a highly interesting nonlinear phenomenon and explain why it is one of the most important scientific findings of the past three decades. The book covers key topics including one-dimensional dynamical systems, bifurcations, general topological, symbolic dynamical systems, and fractals. The authors also discuss a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps. This second edition includes updated and expanded chapters, as well as additional problems.