Inverse Problem Theory and Methods for Model Parameter Estimation, by Albert Tarantola, SIAM: Society for Industrial and Applied Mathematics, 2005. ISBN-10: 0898715725, ISBN-13: 978-0898715729

Tarantola's book is undoubtedly the most important work on probabilistic inverse theory. It presents a complete theory where a physical parameter is represented, not by a number, but by a probability distribution.’ Klaus Mosegaard, Niels Bohr Institute

The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as they may not have a unique solution. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems.

The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, including many heuristic arguments. Prompted by recent developments in inverse theory, this text is a completely rewritten version of a 1987 book by the same author, and includes many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions.

In addition, some notions are clarified, the role of optimization techniques is underplayed, and Monte Carlo methods are taken much more seriously.

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Pdf format, 20.5mb, 358pages.

Click here for the List of Errata.

"All scholars should make their work freely available on the web. I give my thanks to both, the Society of Industrial and Applied Mathematics (SIAM), and Springer-Verlag, for allowing me to post free PDF versions of my books.

Here are the rules: i) you are invited to download, view, and print the books; ii) if you work in a commercial company, or in a rich institution (like a university in the developed world), and your plan is to use one of the books from time to time, please purchase it."

Visit Albert Tarantola Official Website

About the Author:

Professor at the University of Paris. Doctor Honoris Causa by the University of Copenhagen. Silver medal of the French National Science Foundation. Author of a well-known book on Inverse Problem Theory.

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