Polarization and Moment Tensors : With Applications to Inverse Problems and Effective Medium Theory - Ammari, Habib

Polarization and Moment Tensors : With Applications to Inverse Problems and Effective Medium Theory

Habib Ammari

Yayınevi: Springer

Yayın tarihi: 08/2007

ISBN: 9780387715650

Yazar : Hyeonbae Kang

Ciltli | İngilizce | 316 Sayfa | 155 mm x 234 mm

Tür: Matematik-İstatistik

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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.

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