Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences) | 
enlarge | Author: V. Isakov Publisher: Springer Category: Book
List Price: $79.95 Buy New: $36.68 You Save: $43.27 (54%)
New (26) Used (12) from $36.68
Rating: 2 reviews Sales Rank: 1477003
Media: Hardcover Edition: 2nd Pages: 262 Number Of Items: 1 Shipping Weight (lbs): 1.4 Dimensions (in): 9.3 x 6.3 x 0.9
ISBN: 0387253645 Dewey Decimal Number: 515.353 EAN: 9780387253640
Publication Date: December 22, 2005 Availability: Usually ships in 1-2 business days
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Product Description
The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems. This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.
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| Customer Reviews:
finding interiors of objects July 28, 2006 W Boudville (Terra, Sol 3) 4 out of 4 found this review helpful
Isakov describes various ways to solve the inverse problem. In simplest form, one might have, say, Poisson's equation. But whereas the conventional problem is to find the potential, given the source, the inverse problem involves knowing the potential, or its gradient, and having to find the source. The book draws together many results which thus far have mostly resided in maths journals. Isakov explains common themes to these research papers. Plus, and more importantly to some readers, he also gives the practical contexts in which the problems might arise. Such include determining the inside of a portion of a person's body, given various external measurements. Or finding structural data of a machine from external probes. The basic situation is that we are often outside something, and cannot physically go inside that object in a non-destructive manner. The level of maths is broadly accessible to a reader with an undergrad major in maths or physics.
Unreadable April 20, 2007 A Reader (Los Angeles, CA, USA) 2 out of 2 found this review helpful
One would think that Springer-Verlag would be able to afford an editor for the second edition of a book they charge $80 for. Apparently not. This book is so full of typos, misspellings, and bad grammar that it is essentially unreadable. The completely stochastic sprinkling of "the"'s and "a"'s throughout the text (a particular grammar difficulty of native Russian speakers) suggests that no editor has ever read this manuscript. On the positive side, the mathematical expertise of the author in PDE theory is not in question, and the book does contain useful technical information on inverse problems once you strip away the typos and decipher the grammar.
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