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Theories of surface waves develop since the end of XIX century and many fundamental problems like existence, phase and group velocities, attenuation (quality factor), mode conversion, etc. have been, in part successfully, solved within the framework of such simple models as ideal fluids^ or linear elasticity. However, a sufficiently complete presentation of this subject, particularly for solids, is still missing in the literature. The sole exception is the book of I. A. Viktorov^ which contains an extensive discussion of fundamental properties of surface waves in homogeneous and stratified linear elastic solids with particular emphasis on contributions of Russian scientists. Unfortunately, the book has never been translated to English and its Russian version is also hardly available. Practical applications of surface waves develop intensively since a much shorter period of time than theories even though the motivation of discoverers of surface waves such as Lord Rayleigh stems from their appearance in geophysics and seismology. Nowadays the growing interest in practical applications of surface waves stem from the following two main factors: surface waves are ideal for developing relatively cheap and convenient methods of nondestructive testing of various systems spanning from nanomaterials (e.g.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Applied Geosciences. --- Mechanics. --- Granular Media. --- Acoustics. --- Software Engineering. --- Software engineering. --- Physics. --- Materials. --- Ingénierie --- Génie logiciel --- Mécanique --- Physique --- Acoustique --- Matériaux --- Rayleigh waves. --- Rock mechanics. --- Soil mechanics. --- Surface waves. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Soil engineering --- Soils --- Soils (Engineering) --- Mechanics --- Geotechnical engineering. --- Amorphous substances. --- Complex fluids. --- Continuum mechanics. --- Geotechnical Engineering & Applied Earth Sciences. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Geotechnical engineering --- Acoustic surface waves --- Elastic waves --- Fluid dynamics --- Geodynamics --- Seismic waves --- Foundations --- Soil physics --- Surface waves (Oceanography) --- Gravity waves --- Surface energy --- Mechanics, Applied. --- Solid Mechanics. --- Classical Mechanics. --- Computer software engineering --- Engineering --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology