LEADER 01362nam 2200337 a 4500001 99125117890306421 005 20200520144314.0 006 m o d | 007 cr -n--------- 008 070322s2007 nyua ob 001 0 eng d 020 1-280-94363-7 020 9786610943630 020 0-387-71566-5 024 7 10.1007/978-0-387-71566-7 |2doi 035 (CKB)1000000000406734 035 (EBL)372516 035 (OCoLC)187082463 035 (SSID)ssj0000223201 035 (PQKBManifestationID)11172960 035 (PQKBTitleCode)TC0000223201 035 (PQKBWorkID)10175053 035 (PQKB)11271474 035 (DE-He213)978-0-387-71566-7 035 (MiAaPQ)EBC372516 035 (PPN)123146828 035 (EXLCZ)991000000000406734 040 MiAaPQ |beng |erda |epn |cMiAaPQ |dMiAaPQ 041 eng 050 4 QC610.4 |b.A66 2007 072 7 PBW |2bicssc 072 7 MAT003000 |2bisacsh 082 00 510 100 1 Ammari, Habib. 245 10 Polarization and moment tensors : |bwith applications to inverse problems and effective medium theory / |cHabib Ammari, Hyeonbae Kang. 250 1st ed. 2007. 260 New York : |bSpringer, |cc2007. 300 1 online resource (323 p.) 336 text |btxt 337 computer |bc 338 online resource |bcr 490 1 Applied mathematical sciences ; |vv. 162 500 Description based upon print version of record. 546 English 505 0 Layer 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 This 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. 504 Includes bibliography (p. [295]-310) and index. 650 0 Electric conductivity |xMathematics. 650 0 Polarization (Electricity) |xMathematics. 650 0 Tensor algebra. 650 0 Inverse problems (Differential equations) 760 0 |tApplied mathematical sciences |w(CKB)958480247491 |w(DLC)70022436 |w(OCoLC)1481724 |x2196-968X 776 |z1-4419-2449-3 776 |z0-387-71565-7 700 1 Kang, Hyeonbae. 830 0 Applied mathematical sciences (Springer-Verlag New York Inc.) ; |vv. 162. 906 BOOK