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Geophysical Data Analysis: Discrete Inverse Theory. MATLAB Edition. International Geophysics Volume 45

  • ID: 5341925
  • Book
  • August 2016
  • Region: Global
  • Elsevier Science and Technology
Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of:

- 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

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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

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William Menke Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY, USA.

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.
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