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
William Menke is a Professor of Earth and Environmental Sciences at Columbia University, USA. 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.