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Applied Mathematical Sciences

Polarization and Moment Tensors

With Applications to Inverse Problems and Effective Medium Theory

Authors: Ammari, Habib, Kang, Hyeonbae

  • Presents important developments in mathematical and computational methods used in impedance imaging and the theory of composite materials
  • Theory is illustrated through interesting practical examples and numerical illustrations
  • Open problems at the end of each chapter
  • Extensive bibliography enhances accessibility to specialized literature
see more benefits

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eBook $109.00
price for USA (gross)
  • ISBN 978-0-387-71566-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-387-71565-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4419-2449-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

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)


Table of contents (1 chapters)

  • Uniqueness for Inverse Conductivity Problems

    Habib Ammari, Hyeonbae Kang

    Pages 67-74

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-387-71566-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-387-71565-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4419-2449-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Polarization and Moment Tensors
Book Subtitle
With Applications to Inverse Problems and Effective Medium Theory
Authors
Series Title
Applied Mathematical Sciences
Series Volume
162
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-71566-7
DOI
10.1007/978-0-387-71566-7
Hardcover ISBN
978-0-387-71565-0
Softcover ISBN
978-1-4419-2449-0
Series ISSN
0066-5452
Edition Number
1
Number of Pages
X, 314
Topics