000 | 03451nam a22005535i 4500 | ||
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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 |