Waves and Rays in Elastic Continua

Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.Contents: Elastic Continua:DeformationsForces and Balance PrinciplesStress-Strain EquationsStrain EnergyMaterial SymmetryWaves and Rays:Equations of Motion: Isotropic Homogeneous ContinuaEquations of Motion: Anisotropic Inhomogeneous ContinuaHamilton's Ray EquationsChristoffel's EquationsReflection and TransmissionLagrange's Ray EquationsVariational Formulation of Rays:Euler's EquationsVariational PrinciplesRay ParametersAppendices:Euler's Homogeneous-Function TheoremLegendre's TransformationList of Symbols
Readership: Students and researchers in continuum mechanics and mathematical physics.Seismology;Waves;Rays;Elastic Continua;Mathematical Physics0Key Features:The book is a carefully formulated document, whose clarity has been commented on by many readers and lecturersThe book contains many problems whose detailed solutions allow for a self study as well as a verification of understanding of the materialThe book is a result of many research collaborations with distinguished scientists. This is apparent within the book itself and in a selectively chosen references for a further enquiry