Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Item added to bagSorry, there was a problem getting your bag informationItem cannot be purchased with the existing contents of your bagItem unavailable online
✕

was added to your bag.

Please try again.

Sorry, this item cannot be purchased in the same transaction as the existing items in your bag.

Please complete the purchase of the items currently in your bag and then add this item in a separate transaction or visit Shopping Help.

Sorry, this product is not currently available to buy online. Please visit Shopping Help.

View bag and checkout
Remove item
✕

Are you sure you want to remove from your bag?

Recommended product

Popular links

Popular links

Integral Equation Methods in Inverse Scattering Theory

All titles
Integral Equation Methods in Inverse Scattering Theory

Integral Equation Methods in Inverse Scattering Theory

David Colton, University of Delaware
Rainer Kress, University of Göttingen
March 2014
Paperback
9781611973150
£69.99
GBP
Paperback
    Description

    Scattering theory, a powerful method for the analysis of PDEs, represents one of the most important developments in mathematical physics of recent decades. This classic book is ideal 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. The exposition is based on a rigorous treatment of the Riesz–Fredholm theory of compact operators in dual systems, followed by a derivation of the jump conditions and mapping properties of scalar and vector potentials in spaces of continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. The reader will find 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 a function-theoretic approach.

    • A full discussion of the mapping properties of scalar and vector potentials in spaces of continuous functions
    • An in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves
    • An introduction to inverse scattering theory with an emphasis on a function-theoretic approach

    Product details

    March 2014
    Paperback
    9781611973150
    290 pages
    229 × 152 × 15 mm
    0.4kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Often bought together

    Fourier Integrals in Classical Analysis
    Fourier Integrals in Classical Analysis

    : Hardback

    Functional Analysis
    Functional Analysis

    : Paperback

    Geometric Scattering Theory
    Geometric Scattering Theory

    : Paperback

    An Introduction to Functional Analysis
    An Introduction to Functional Analysis

    : Paperback

    Often bought together

    cambridge core banner

    Related Journals

    Combinatorics, Probability and Computing
    Combinatorics, Probability and Computing

    : Journal

    Published bimonthly, Combinatorics, Probability & Computing is devoted to the three areas of combinatorics, probability theory and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial structures; combinatorial probability and limit theorems for random combinatorial structures; the theory of algorithms (including complexity theory), randomised algorithms, probabilistic analysis of algorithms, computational learning theory and optimisation.

    European Journal of Applied Mathematics
    European Journal of Applied Mathematics

    : Journal

    Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines.Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.

    Proceedings of the Royal Society of Edinburgh, Section: A Mathematics
    Proceedings of the Royal Society of Edinburgh, Section: A Mathematics

    : Journal

    A flagship publication of the Royal Society of Edinburgh, Proceedings A is a prestigious, general mathematics journal publishing papers of international standard across the whole spectrum of mathematics, but with the emphasis on applied analysis and differential equations.An international journal, publishing six issues per year, Proceedings A has been publishing the highest-quality mathematical research for nearly 70 years. Recent issues have included a wealth of key contributors and considered research papers.Please note that archives of the Proceedings from 1844 to 1940 are being digitised and will be hosted as the Proceedings of the Royal Society of Edinburgh

    Related Journals

    Also by this Author

    Contents

    Table of Contents

    • Preface to the Classics Edition
    • Preface
    • Symbols
    • 1. The Riesz–Fredholm theory for compact operators
    • 2. Regularity properties of surface potentials
    • 3. Boundary-value problems for the scalar Helmholtz equation
    • 4. Boundary-value problems for the time-harmonic Maxwell equations and the vector Helmholtz equation
    • 5. Low frequency behavior of solutions 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 theory
    • References
    • Index.
      • Show more
    Courses
    Resources
    Additional Information
    About the authors
      Authors
    • David Colton , University of Delaware

      David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk.

    • Rainer Kress , University of Göttingen

      Rainer Kress is a Full Professor of Numerical and Applied Mathematics at the University of Göttingen. He has been a member of the Göttingen Academy of Sciences since 1995 and Professor Emeritus since 2010. He is the author or coauthor of five books.

    Browse by related subject

     
    ✕

    Sorry, this item cannot be purchased in the same transaction as the existing items in your cart.

    Please complete the purchase of the items currently in your cart and then add this item in a separate transaction or contact

    Customer Services