Read more
Informationen zum Autor William Menke is a Professor of Earth and Environmental Sciences at Columbia University. His research focuses on the development of data analysis algorithms for time series analysis and imaging in the earth and environmental sciences and the application of these methods to volcanoes, earthquakes, and other natural hazards. He has thirty years of experience teaching data analysis methods to both undergraduates and graduate students. Relevant courses that he has taught include, at the undergraduate level, Environmental Data Analysis and The Earth System, and at the graduate level, Geophysical Inverse Theory, Quantitative Methods of Data Analysis, Geophysical Theory and Practical Seismology. Geophysical Data Analysis, Fourth Edition, is a revised and expanded introduction to inverse theory and tomography as it is practiced by geophysicists. It demonstrates the methods needed to analyze a broad spectrum of geophysical datasets, with special attention to those methods that generate images of the earth. Data analysis can be a mathematically complex activity, but the treatment in this volume is carefully designed to emphasize those mathematical techniques that readers will find the most familiar and to systematically introduce less-familiar ones. Using problems and case studies along with MATLAB computer code and summaries of methods, Geophysical Data Analysis provides data scientists and engineers in geophysics with the tools necessary to understand and apply mathematical techniques and inverse theory.
List of contents
1. Describing Inverse Problems2. Some Comments on Probability Theory3. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method4. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses5. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods6. Nonuniqueness and Localized Averages7. Applications of Vector Spaces8. Linear Inverse Problems and Non-Gaussian Statistics9. Nonlinear Inverse Problems10. Factor Analysis11. Continuous Inverse Theory and Tomography12. Sample Inverse Problems13. Applications of Inverse Theory to Solid Earth Geophysics
