M.M. Lavrentiev, A.V. Avdeev, M.M. Lavrentiev, Jr. and V.I. Priimenko
The theory of Inverse Problems of Mathematical Physics is a vastand intensively developing field of modern mathematics. This book dealsmostly with the theoretical aspects and treats some applications, aswell as numerical methods of solving problems.
In the introductory chapter the concept of mathematical modelling isgiven, the general differences between direct and inverse problems areoutlined and strict mathematical definitions of correct and ill-posedproblems are given. The following chapters deal with:
-- Approximate methods of solution of ill-posed problems
-- Integral geometry problems
-- One dimensional inverse problems
-- Inverse problems for the coupled Maxwell and Lamé systems
-- Numerical solution of inverse problems: some examples
This books is intended to serve as an introduction for specialists inother fields, and thus emphasizes the basic general principles andapproaches to the solution of various problems, whereby concreteexamples of results obtained are given.
2003; x+276 pages ISBN 90-6764-396-3 Price (all prices are subject to change without notice): EUR 159/US$ 227