The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging and geophysical exploration. This text is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)

Science & Math

Rainer Kress

David L. Colton

Physics

Springer, Verlag

<p>An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.</p>

Numerical Analysis (Graduate Texts in Mathematics, 181)

Mathematics

Springer

<p>The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.</p>

Linear Integral Equations (Applied Mathematical Sciences)

An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.

Numerical Analysis (Graduate Texts in Mathematics)

The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory.Review of earlier editions: “Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.”SIAM Review, September 1994  “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.”Mathematical Intelligencer, June 1994

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences Book 93)

David Colton

Numerical Analysis

This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton's method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.

David Colton Rainer Kress

See the best price to sell, buy, or rent books by Rainer Kress. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Rainer Kress

See the best price to sell, buy, or rent books by Rainer Kress. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)

Numerical Analysis (Graduate Texts in Mathematics, 181)

Linear Integral Equations (Applied Mathematical Sciences)

Numerical Analysis (Graduate Texts in Mathematics)

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences Book 93)

Numerical Analysis

Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)