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**About this book :- **
**Integral Equation Methods in Scattering Theory ** written by
** David Colton, Rainer Kress**.

This classic book provides a rigorous treatment of the Riesz-Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations.

Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Audience: Integral Equation Methods in Scattering Theory can be used as a supplemental text in a graduate course on scattering theory or inverse problems and will also be of interest to research scientists in mathematics, physics, and engineering.

**Book Detail :- **
** Title: ** Integral Equation Methods in Scattering Theory
** Edition: **
** Author(s): ** David Colton, Rainer Kress
** Publisher: ** SIAM-Society for Industrial and Applied Mathematics
** Series: ** Classics in Applied Mathematics
** Year: ** 2013
** Pages: ** 286
** Type: ** PDF
** Language: ** English
** ISBN: ** 1611973155,978-1-611973-15-0,117-911-129-X
** Country: ** US

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**About Author :- **

The author Rainer Kress was born 1941 in Kassel, Germany. After studying mathematics and physics at the Technische Hochschule Darmstadt he received his doctorate in 1968 and his habilitation in 1969. From 1970 until 1971 he served as a research fellow at the Max-Planck-Institut for Physics and Astrophysics in Munich. He has been a full professor of numerical and applied mathematics in Göttingen since 1971. At the University of Göttingen, from 1974 until 1975 he served as chairman of the Fachbereich Mathematik, from 1978 until 1981 as dean of the Mathematisch Naturwissenschaftliche Fakultät, and from 1993 until 1995 as vice president. Since 1995 he is a member of the Göttingen Academy of Sciences. In 1975 he declined an offer for a full professorship at the Technical University in Berlin. Since 2010 he is professor emeritus.

The main research interests of Rainer Kress are in integral equations with emphasis on numerical methods and in direct and inverse boundary value problems in scattering theory. He is on the editorial board of two international journals in the above areas, that is, Journal of Integral Equations and Applications, and Journal of Inverse and Ill-posed Problems. He has resigned from the editorial board of Inverse Problems, Mathematical Methods in the Applied Sciences, and SIAM Journal on Numerical Analysis. He is author of five books. The second and forth book were jointly written with David Colton from the University of Delaware, the second book was translated into Russian by Mir (Moscow, 1987), and authorized reprints of the third and fifth book were made in China. Since 1971 he was adviser of 31 PhD students and around 100 diplom students.

Rainer Kress had appointments as a visiting professor at the University of Strathclyde in Scotland, the University of Delaware in the US and the University of New South Wales in Australia. Current and active international contacts are with the University of Delaware (USA), the Texas A&M University (USA), the Rutgers University (USA), Inria-Rocquencourt (France), and the Izmir Institute of Technology (Turkey). He was co-organizer of the annual GAMM meetings 1975 and 2000 in Göttingen and of five workshops at the mathematical research institute in Oberwolfach between 1980 and 2000. Since around 1995 he was on the organizing committee of more than 10 international conferences on inverse problems.

**Other famous books of similar Author :- **

Here is list all books avaliable of this author.

** • Download PDF Linear Integral Equations (3E) by Rainer Kress **

** • Download PDF Integral Equation Methods in Scattering Theory by David Colton, Rainer Kress **

** • Download PDF Numerical Analysis by Rainer Kress, F. W. Gehring **

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**Book Contents :- **
**Integral Equation Methods in Scattering Theory ** written by
** David Colton, Rainer Kress**
cover the following topics.

1. The Riesz Fredholm Theory for Compact Operators

2. Regularity Properteis of Surfase Potentials

3. Boundary Value Problems for the Scalar Helmholtz Equation

4. Boudary Value Problems for the Time Harmonic Maxwell Equations and the Vector Helmholtz Equaqtion

5. Low Frequency Behavior of Solution to Boundary Value Problems in Scattering Theory

6. The Inverse Scattering Problem Exact Data

7. Improperly Posed Problems and Compact Families

8. The Determination of the Shape of an Obstacle from Inexact Far Field Data

9. Optimal Control Problems in Radiation and Scattering Theroy

Refrence

Index

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