Statement of the Problem and Modern Examples. Low-Frequency Approximations. Long-Wave High-Frequency Approximations. Short-Wave Approximations: The Error Estimate in Dynamics of Thin Walled Bodies. Vibrations of a Body of Revolution. A Thin Walled Body under Surface Loading. Higher Order Theories of Plates and Shells. Long-Wave High-Frequency Vibrations of Thin Walled Body Immersed in Continuum. Radiation and Scattering by a Thin Walled Body. Non-Stationary Wave Propagation. General Notation. References. Subject Index.