Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion

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Society for Industrial and Applied Mathematics
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I am an applied mathematician who has worked on inverse problems for 10 years. I used this book for my graduate class and it has proved to be a disaster. In hindsight, I should have read it very carefully before I chose this book. It does have a very nice List of Contents part.
The problem of this book is that it tries to cover almost everything in discrete inverse problems that has happened in the last 4 decades without mathematical details. Its style reminds me of all the Handbooks of formulas used in engineering communities. Even though it does provide numerical examples but it does not really show you much insights as to which regularization method is better to what problem.
The most frustrating part of this book is that it appears to include lots of references (well, it's normal for a book with most crucial details lacking ) but when you finally get the reference paper, mostly through InterLibrary Loan, the theorem or proof claimed to be there by the author is actually not there. Instead, the paper the author refers to in the book only contains yet another reference to the theorem of the proof you're looking for.
It also contains many inconsistent notations that I presume to be the consequence of lots of copy-and-paste between many papers when this book was written.
In conclusion, this is definitely not a book that can be used as the main textbook for any class. The only use I see fit for this book is to be used as a collection of references and even this is a stretch.
With the author's reputation in this field, I had expected much more than the lousy job he has done in writing this book. I suggest him to spend at least a summer to proofread the book and publish a erratum for it or even rewrite it. With the current edition, I will not recommend it to anyone.
 

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