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Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences)

Inverse Problems for Partial Differential Equations (Applied Mathematical Sciences)

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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: 3.0 out of 5 stars 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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  • Statistical and Computational Inverse Problems (Applied Mathematical Sciences)
  • Partial Differential Equations (Graduate Studies in Mathematics, V. 19) GSM/19 (Graduate Studies in Mathematics)

Editorial Reviews:

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.




Customer Reviews:

4 out of 5 stars 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.



2 out of 5 stars 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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