Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory: 162 (Applied Mathematical Sciences) - Hardcover

Kang, Hyeonbae; Ammari, Habib

 
9780387715650: Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory: 162 (Applied Mathematical Sciences)

Inhaltsangabe

This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. 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. An extensive bibliography and open problems at the end of each chapter enhance the text.

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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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Weitere beliebte Ausgaben desselben Titels

9781441924490: Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory: 162 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  1441924493 ISBN 13:  9781441924490
Verlag: Springer, 2010
Softcover