Geophysical data analysis : discrete inverse theory /

"The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are and what constitutes their solution as well as reviewing some of the basic concepts from linear algebra and probability theory that will...

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Bibliographic Details
Main Author:	Menke, William (Author)
Format:	Book
Language:	English
Published:	Waltham, MA : Academic Press, 2012.
Edition:	Matlab ed., 3rd ed.
Subjects:	Geophysics > Measurement. Oceanography > Measurement. Inverse problems (Differential equations) > Numerical solutions. Problèmes inverses (Équations différentielles) > Solutions numériques.

Table of Contents:

Chapter 1: Describing Inverse Problems
Chapter 2: Some Comments on Probability Theory
Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method
Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses
Chapter 5: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods
Chapter 6: Nonuniqueness and Localized Averages
Chapter 7: Applications of Vector Spaces
Chapter 8: Linear Inverse Problems and Non-Gaussian Statistics
Chapter 9: Nonlinear Inverse Problems
Chapter 10: Factor Analysis
Chapter 11: Continuous Inverse Theory and Tomography
Chapter 12: Sample Inverse Problems
Chapter 13: Applications of Inverse Theory to Solid Earth Geophysics
Appendices.