Preface. Introduction. Chapters: 1. Introduction to Linear Elastodynamics. 2. The Fundamental Waves of Elastodynamics and their Representations. 3. Reflection and Refraction of Time Harmonic Waves at an Interface. 4. Time Harmonic Waves in Elastic Waveguides. 5. Integral Transforms, Related Asymptotics, and Introductory Applications. 6. Transient Waves in an Elastic Half Space. 7. Transient Waves in Waveguides. 8. Pulse Scattering by Half-Plane, Cylindrical and Spherical Obstacles. Indices.