| Summary: | A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from�the boundary�of a domain.�Exterior Billiards presents billiards in the complement of� domains and their applications in aerodynamics and geometrical optics. �This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including scattering, resistance, invisibility and retro-reflection. It begins with an overview of the mathematical notations used throughout the book and a brief review of the main results. Chapters 2 and 3 are focused on problems of minimal resistance� and Newtons problem in media with positive temperature. In chapters 4 and 5, scattering of billiards by�nonconvex and rough domains is characterized and some related special problems of optimal mass transportation are studied. Applications in aerodynamics are addressed next and problems of invisibility and retro-reflection within� the framework of geometric optics conclude the text. �The book will appeal to mathematicians working in dynamical systems and calculus of variations.� Specialists working in the areas of applications discussed will also find it useful.
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