Synopses & Reviews
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.
'This text bridges the gap between introductory textbooks and advanced monographs by providing the necessary mathematical tools to tackle seismological problems, and by demonstrating how to apply them. The text also includes student exercises, for which solutions are available on a dedicated website. This book will therefore find a receptive audience among advanced undergraduate and graduate students interested in developing a solid mathematical background from which to study more advanced topics in seismology. It will also form a useful reference volume for researchers wishing to brush up on the fundamentals.\n
A graduate-level textbook which takes a pedagogical and mathematical approach to seismology.
Table of Contents
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.