000 03451nam a22005535i 4500
001 978-0-387-71566-7
003 DE-He213
005 20161121231124.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387715667
_9978-0-387-71566-7
024 7 _a10.1007/978-0-387-71566-7
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aAmmari, Habib.
_eauthor.
245 1 0 _aPolarization and Moment Tensors
_h[electronic resource] :
_bWith Applications to Inverse Problems and Effective Medium Theory /
_cby Habib Ammari, Hyeonbae Kang.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aX, 314 p.
_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 ;
_v162
505 0 _aLayer Potentials and Transmission Problems -- Uniqueness for Inverse Conductivity Problems -- Generalized Isotropic and Anisotropic Polarization Tensors -- Full Asymptotic Formula for the Potentials -- Near-Boundary Conductivity Inclusions -- Impedance Imaging of Conductivity Inclusions -- Effective Properties of Electrical Composites -- Transmission Problem for Elastostatics -- Elastic Moment Tensor -- Full Asymptotic Expansions of the Displacement Field -- Imaging of Elastic Inclusions -- Effective Properties of Elastic Composites.
520 _aThis book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The methods involved come from various areas of pure and applied mathematics, such as potential theory, PDEs, complex analysis, and numerical methods. The unifying thread in this book is the use of generalized polarization and moment tensors. The main approach is based on modern layer potential techniques. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. With its extensive list of references and open problems, the book should enhance accessibility to specialized literature and stimulate progress in the fields of impedance imaging and composite materials. Graduate students and researchers in applied mathematics will benefit from this book. Researchers in engineering and physics might also find this book helpful.
650 0 _aMathematics.
650 0 _aRadiology.
650 0 _aPartial differential equations.
650 0 _aPotential theory (Mathematics).
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aBiomedical engineering.
650 1 4 _aMathematics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aBiomedical Engineering.
650 2 4 _aPotential Theory.
650 2 4 _aPartial Differential Equations.
650 2 4 _aImaging / Radiology.
700 1 _aKang, Hyeonbae.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387715650
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v162
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-71566-7
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508925
_d508925