A graduate-level 2004 textbook introducing the theory of seismic wave propagation in acoustic, elastic and anisotropic media.Presenting a comprehensive introduction to the propagation of high-frequency, body-waves in elastodynamics. this volume develops the theory of seismic wave propagation in acoustic, elastic and anisotropic media to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. The book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.Presenting a comprehensive introduction to the propagation of high-frequency, body-waves in elastodynamics. this volume develops the theory of seismic wave propagation in acoustic, elastic and anisotropic media to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. The book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.Presenting a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics, this volume develops the theory of seismic wave propagation in acoustic, elastic and anisotropic media to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. The book is a text for graduate courses in theoretical seismology, and a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.Preface; Preliminaries; Nomenclature; Symbols; Special functions; Canonical signals; 1. Introduction; 2. Basic wave propagation; 3. Transforms; 4. Review of continuum mechanics and elastic waves; 5. Asymptotic ray theoryl*