“This book treats the theory of seismic waves by using various models of elastic media, and gives analytical and numerical solutions for problems with boundary conditions prescribed at two-dimensional domains, applying the boundary integral equation method (BIEM) AND Fourier-Laplace and Radon transforms. The book covers the state-of-the-art of the BIEM in the field of elastodynamics and can be considered a useful reading for researchers and graduate students in seismology.” (Vladimir Čadež, zbMATH 1365.74002, 2017)

• Introduction.- Theoretical foundations.- Elastodynamic problem formulation.- Fundamental solutions.- Green's function.- Free-field motion.- Time-harmonic wave propagation in inhomogeneous and heterogeneous regions: The anti-plane strain case.- The anti-pane strain wave motion.- Anti-plane strain wave motion in finite inhomogeneous media.- In plane wave motion in unbounded cracked inhomogeneous media.- Site effects in finite geologicall region due to wave path inhomogeneity.- Wave scattering in a laterally inhomogeneous, cracked poroelastic finite region.- Index.