PDF Download Parameter Estimation and Inverse Problems, Second Edition, by Richard C. Aster, Brian Borchers, Clifford H. Thurber
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Parameter Estimation and Inverse Problems, Second Edition, by Richard C. Aster, Brian Borchers, Clifford H. Thurber
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Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors’ treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics.
Parameter Estimation and Inverse Problems, Second Edition introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject.
- Includes appendices for review of needed concepts in linear, statistics, and vector calculus.
- Accessible to students and professionals without a highly specialized mathematical background.
- Sales Rank: #2476997 in Books
- Brand: Ingramcontent
- Published on: 2016-09-02
- Released on: 2016-06-30
- Original language: English
- Dimensions: 9.25" h x .85" w x 7.50" l, .0 pounds
- Binding: Paperback
- 376 pages
- Parameter Estimation and Inverse Problems
Review
"A few years ago, it was my pleasure to review for the TLE this book’s first edition, published in 2005…The present revised version is some 60 pages longer and contains several significant modifications. As is true of the original, the book continues to be one of the clearest as well as the most comprehensive elementary expositions of discrete geophysical inverse theory. It is ideally suited for beginners as well as a fine resource for those searching for a particular inverse problem. Each algorithm is presented in the form of pseudo-code, then backed up by a collection of MATLAB codes downloadable from an Elsevier Web site…All examples in the book are beautifully illustrated with simple, easy to follow "cartoon" problems, and all painstakingly designed to illuminate the details of a particular numerical method." --The Leading Edge, July 2012
About the Author
By Richard Aster, Brian Borchers and Cliff Thurber
Most helpful customer reviews
8 of 8 people found the following review helpful.
Solid, well-written text
By C. F. Waigl
This text was one of two books used for a graduate-level class iI attended for students of geophysics. The second textbook was Tarantola's.
Positive: The writing is very readable and the book is well organized. Prerequisite knowledge in statistics, linear algebra and vector calculus is summarised in appendices, which include exercises. The exercises throughout the book are well aligned with the difficulty level. Compared to Tarantola, the Aster et al. book is certainly more accessible for the novice, except for those with a background in pure mathematics. In addition to the exposition and exercises, the book also contains worked examples including, and this is a great plus, Matlab code that can be downloaded and run to follow along. The code is well written and comes with utility libraries that can then be used to work examples or even apply to research problems.
Neutral: The organisation of the material is very classical, starting with linear problems and treating non-linear problems. Some may prefer it this way. It happens that the class I attended used Aster et al. to cover the background material (ie, the appendices), then proceeded to general inverse problems through iterative methods using Tarantola, and finally returned to Aster to treat the linear case more in-depth. If I had to teach this class, I would probably do something similar and work through general, potentially non-linear problems before linear problems. The language and examples of Aster et al. are geared towards the seismologist or other solid-earth geophysicist, though there are some that allude to tomography.
Negative: The only potentially questionable choice is the total reliance on Matlab. I appreciate that this commercial software is widespread at least in US institutions, but the heavy use of custom-written Matlab code does reduce the usefulness of this book for those who don't have access to this programming environment.
I would give this text 4.5 points if I could. The 4-point score doesn't mean I'm not highly recommending it.
3 of 3 people found the following review helpful.
Good text
By Graduate Student
This book was required for my Inverse Theory class taught by Cliff Thurber, the 3rd author. Normally I don't like using the texts a professor has been a part of writing, but this text is very well written. It is easy to understand and gives many examples, which are nice when trying to do homework. The appendices also give a good background in information you will need to know for the class, which is much nicer than most texts that have no such information. Would suggest to anyone interested in parameter estimation.
0 of 0 people found the following review helpful.
Wish I found this book earlier
By orthogonal
I've spent the last year trying to teach myself inverse theory and wish I would have had this book from the beginning. Great explanations, logical progression of topics, good examples and sample MATLAB code. It has in my opinion the right amount of mathematical rigor for engineers and will get you going solving your own problems.
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