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001 978-1-4614-4942-3
003 DE-He213
005 20140220082817.0
007 cr nn 008mamaa
008 121026s2013 xxu| s |||| 0|eng d
020 _a9781461449423
_9978-1-4614-4942-3
024 7 _a10.1007/978-1-4614-4942-3
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aColton, David.
_eauthor.
245 1 0 _aInverse Acoustic and Electromagnetic Scattering Theory
_h[electronic resource] /
_cby David Colton, Rainer Kress.
250 _a3rd ed. 2013.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXIV, 405 p. 8 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v93
505 0 _aIntroduction -- The Helmholtz Equation -- Direct Acoustic Obstacle Scattering -- III-Posed Problems -- Inverse Acoustic Obstacle Scattering -- The Maxwell Equations -- Inverse Electromagnetic Obstacle Scattering -- Acoustic Waves in an Inhomogeneous Medium -- Electromagnetic Waves in an Inhomogeneous Medium -- The Inverse Medium Problem.-References -- Index.
520 _aThe 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
650 0 _aMathematics.
650 0 _aIntegral equations.
650 0 _aDifferential equations, partial.
650 0 _aVisualization.
650 0 _aAcoustics.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aIntegral Equations.
650 2 4 _aVisualization.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aAcoustics.
700 1 _aKress, Rainer.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461449416
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v93
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4942-3
912 _aZDB-2-SMA
999 _c95265
_d95265