Presenting current approaches in observational and computational seismology, this book introduces advanced methods and techniques by means of case studies in earthquake research. Among others these include solving inverse seismologic problems, tomography for structure imaging, characterizing fault damage and healing, seismicity analysis for determining pre-shock moment release, and coupled solid-fluid models.

This graduate textbook begins by introducing Tensors and Riemannian Spaces, and then elaborates their application in solving second-order differential equations, and ends with introducing theory of relativity and de Sitter space. Based on 40 years of teaching experience, the author compiles a well-developed collection of examples and exercises to facilitate the reader s learning.