Polarization and Moment Tensors

With Applications to Inverse Problems and Effective Medium Theory

  • Habib Ammari
  • Hyeonbae Kang

Part of the Applied Mathematical Sciences book series (AMS, volume 162)

Table of contents

  1. Front Matter
    Pages I-X
  2. Habib Ammari, Hyeonbae Kang
    Pages 1-6
  3. Habib Ammari, Hyeonbae Kang
    Pages 7-66
  4. Habib Ammari, Hyeonbae Kang
    Pages 67-74
  5. Habib Ammari, Hyeonbae Kang
    Pages 75-127
  6. Habib Ammari, Hyeonbae Kang
    Pages 129-144
  7. Habib Ammari, Hyeonbae Kang
    Pages 145-160
  8. Habib Ammari, Hyeonbae Kang
    Pages 161-194
  9. Habib Ammari, Hyeonbae Kang
    Pages 195-210
  10. Habib Ammari, Hyeonbae Kang
    Pages 211-235
  11. Habib Ammari, Hyeonbae Kang
    Pages 237-259
  12. Habib Ammari, Hyeonbae Kang
    Pages 261-268
  13. Habib Ammari, Hyeonbae Kang
    Pages 269-284
  14. Habib Ammari, Hyeonbae Kang
    Pages 285-289
  15. Back Matter
    Pages 291-312

About this book

Introduction

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.

Keywords

Mathematica Potential theory applied mathematics complex analysis electrostatics imaging

Authors and affiliations

  • Habib Ammari
    • 1
  • Hyeonbae Kang
    • 2
  1. 1.Center of Applied MathematicsÉcole PolytechniquePalaiseau CedexFrance
  2. 2.Department of MathematicsSeoul National UniversitySeoulKorea

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-71566-7
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-71565-0
  • Online ISBN 978-0-387-71566-7
  • Series Print ISSN 0066-5452
  • About this book