With this unique book, Scheinerman invites readers from a wide range of backgrounds with limited technical prerequisites to explore the beauty and excitement of dynamical systems in particular, and of mathematics in general. The book is designed for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material. Rather than taking a standard mathematical theorem-proof-corollary-remark approach to dynamical systems, it stresses the intuition, ideology, and appreciation that is open to everyone.