Bridging the gap between introductory textbooks and advanced monographs, this book provides the necessary mathematical tools to tackle seismological problems and demonstrates how to apply them. Including student exercises, for which solutions are available on a dedicated website, it appeals to advanced undergraduate and graduate students. It is also a useful reference volume for researchers wishing to "brush up" on fundamentals before they study more advanced topics in seismology.
Bridging the gap between introductory textbooks and advanced monographs, this book provides the necessary mathematical tools to tackle seismological problems and demonstrates how to apply them. Including student exercises, for which solutions are available on a dedicated website, it appeals to advanced undergraduate and graduate students. It is also a useful reference volume for researchers wishing to "brush up" on fundamentals before they study more advanced topics in seismology.
Preface 1. Introduction to tensors and dyadics 2. Deformation: strain and rotation tensors 3. The stress tensor 4. Linear elasticity: the elastic wave equation 5. Scalar and elastic waves in unbounded media 6. Plane waves in simple models with plane boundaries 7. Surface waves in simple models: dispersive waves 8. Ray theory 9. Seismic point sources in unbounded homogeneous media 10. The earthquake source in unbounded media 11. Anelastic attenuation Appendix A. Introduction to the theory of distributions Appendix B. The Hilbert transform Appendix C. Green's function for the 3-D scalar wave equation Appendix D. Proof of equation (9.5.12) Appendix E. Proof of equation (9.13.1) References Index.
Preface 1. Introduction to tensors and dyadics 2. Deformation: strain and rotation tensors 3. The stress tensor 4. Linear elasticity: the elastic wave equation 5. Scalar and elastic waves in unbounded media 6. Plane waves in simple models with plane boundaries 7. Surface waves in simple models: dispersive waves 8. Ray theory 9. Seismic point sources in unbounded homogeneous media 10. The earthquake source in unbounded media 11. Anelastic attenuation Appendix A. Introduction to the theory of distributions Appendix B. The Hilbert transform Appendix C. Green's function for the 3-D scalar wave equation Appendix D. Proof of equation (9.5.12) Appendix E. Proof of equation (9.13.1) References Index.
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