- MATLAB examples and problem sets - Advanced color graphics - Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals
- Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithm- Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies- Numerous examples and end-of-chapter homework problems help you explore and further understand the ideas presented- Use as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors
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1. Describing Inverse Problems 2. Some Comments on Probability Theory 3. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method 4. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses 5. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods 6. Nonuniqueness and Localized Averages 7. Applications of Vector Spaces 8. Linear Inverse Problems and Non-Gaussian Statistics 9. Nonlinear Inverse Problems 10. Factor Analysis 11. Continuous Inverse Theory and Tomography 12. Sample Inverse Problems 13. 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.