-Notation and synopsis of main results. -Problem of minimum resistance to translational motion of bodies. -Newton's problem in media with positive temperature. -Scattering in billiards. -Problems of optimal mass transportation. -Problems on optimization of mean resistance. -Magnus effect and dynamics of a rough disc. -On invisible bodies. -Retroreflectors.
Surveying the nature of dynamical systems, in which a point particle alternates between free motion and specular reflections from the boundary of a domain, this book assesses the ways in which they can be applied to aerodynamics as well as geometrical optics.
Examines properties of billiard dynamics outside bounded domains Includes topics such as scattering, resistance, invisibility and retro-reflection Useful for mathematicians working in dynamical systems