As a boundary theory of quantum mechanics, classical dynamics encompasses a wide variety of phenomena, ranging from predictable to chaotic behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. It contains a wealth of fascinating examples from physics and offers not only an excellent selection of fundamental topics but also an introduction to several current research areas in classical mechanics. Thanks to its didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of basic mathematics courses. The book is aimed at the needs of doctoral candidates and advanced students in mathematics and physics, as well as researchers interested in a modern approach to classical mechanics.