Inversion Theory and Its Applications: Key Textbook for Higher Education in Seismology under the "Nineteen-Ninety-Five" Provincial and Ministerial Level Key Program

Author: Xu Guoming
Publisher:
Publish Date: 2003-06-01
Features: The core content discussed in this book is based on the concept of probabilistic inversion, as well as other aspects of inversion theory. The examples primarily involve geophysics, but the fundamental essence can be applied to other disciplines. The book does not focus on inversion methods for specific specialized cases, but rather emphasizes the discussion of general-purpose inversion theory. The book is divided into eight chapters. Chapter 1 is an introduction; Chapters 2 to 4 discuss the concept and methods of probabilistic inversion; Chapter 5 explores direct inversion methods and inversion methods for nonlinear problems; Chapter 6 discusses inversion in continuous model spaces; Chapter 7 introduces some methods for inversion in linear systems; Chapter 8 discusses an important application of inversion—tomography. Some mathematical derivations are placed in the appendix. This book can serve as a textbook for graduate students in relevant disciplines at universities and colleges, as well as a reference book for scientific research and industrial personnel in related fields.