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Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory by Habib Ammari 9780387715650
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Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory by Habib Ammari 9780387715650

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Description

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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From the reviews:

"The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. ... This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements." (Guillaume Bal, Mathematical Reviews, Issue 2009 f)

"The present book deals with one of the most interesting topics in the theory of inverse problems ... . any chapter of the volume contains an interesting section devoted to 'Further results and open problems'. ... the volume is extremely well-written and organized, as well as (reasonably) self-contained, so that any reader with a good knowledge in elliptic PDE's and interest in inverse problems will enjoy it ... ." (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1220, 2011)





Book Information
ISBN 9780387715650
Author Habib Ammari
Format Hardback
Page Count 314
Imprint Springer-Verlag New York Inc.
Publisher Springer-Verlag New York Inc.

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