A Qualitative Approach to Inverse Scattering Theory / (Record no. 5560)

MARC details
000 -LEADER
fixed length control field 03434cam a22002895i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240312161511.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131028s2014 xxu|||| o |||| 0|eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781489979605
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Item number CakQ
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Cakoni, Fioralba
245 ## - TITLE STATEMENT
Title A Qualitative Approach to Inverse Scattering Theory /
Statement of responsibility, etc Fioralba Cakoni and David Colton
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Newyork :
Name of publisher Springer,
Year of publication c2014.
300 ## - PHYSICAL DESCRIPTION
Number of Pages x, 297p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Applied Mathematical Sciences
Volume number/sequential designation 188
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Functional Analysis and Sobolev Spaces -- 2. Ill-Posed Problems -- 3. Scattering by Imperfect Conductors -- 4. Inverse Scattering Problems for Imperfect Conductors -- 5. Scattering by Orthotropic Media -- 6. Inverse Scattering Problems for Orthotropic Media -- 7. Factorization Methods -- 8. Mixed Boundary Value Problems -- 9. Inverse Spectral Problems for Transmission Eigenvalues -- 10. A Glimpse at Maxwell's Equations.
520 ## - SUMMARY, ETC.
Summary, etc Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included background material on functional analysis, Sobolev spaces, the theory of ill posed problems and certain topics in in the theory of entire functions of a complex variable. This book is an updated and expanded version of an earlier book by the authors published by Springer titled Qualitative Methods in Inverse Scattering Theory Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical material and in presenting it in a well-organized and easy-to-follow fashion. This text certainly complements the growing body of work in inverse scattering and should well suit both new researchers to the field as well as those who could benefit from such a nice codified collection of profitable results combined in one bound volume. SIAM Review, 2006.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Electrical Engineering
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Fourier Analysis
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical Physics
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Partial Differential Equations
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Partial Differential Equations
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Electrical Engineering
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Theoretical, Mathematical and Computational Physics
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Colton, David
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Source of acquisition Purchase Price Bill number Full call number Accession Number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 06/03/2024 Shankar's Book Agency Pvt. Ltd. 4515.91 IN33416/23-24 515.353 CakQ 10242 7745.99 20/12/2023 Books