Richard C. Aster, Brian Borchers, Clifford H. Thurber Parameter Estimation and Inverse Problems

Annotation

Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology. It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples, and definitions; introductory chapter synopses; end-of-chapter exercises, both programming and theoretical; and suggestions for further reading. The text is designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background.Designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical backgroundIncludes three appendices for review of linear algebra and crucial concepts in statisticsBattle-tested in courses at several universitiesMATLAB exercises facilitate exploration of material