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© 2008

Potential Theory in Applied Geophysics

Book

Table of contents

  1. Front Matter
    Pages I-XXIII
  2. Kalyan Kumar Roy
    Pages 1-16
  3. Kalyan Kumar Roy
    Pages 17-42
  4. Kalyan Kumar Roy
    Pages 43-73
  5. Kalyan Kumar Roy
    Pages 75-89
  6. Kalyan Kumar Roy
    Pages 91-125
  7. Kalyan Kumar Roy
    Pages 127-150
  8. Kalyan Kumar Roy
    Pages 151-205
  9. Kalyan Kumar Roy
    Pages 207-262
  10. Kalyan Kumar Roy
    Pages 307-327
  11. Kalyan Kumar Roy
    Pages 329-347
  12. Kalyan Kumar Roy
    Pages 349-379
  13. Kalyan Kumar Roy
    Pages 445-469
  14. Kalyan Kumar Roy
    Pages 471-534
  15. Kalyan Kumar Roy
    Pages 535-560
  16. Kalyan Kumar Roy
    Pages 561-624
  17. Back Matter
    Pages 625-651

About this book

Introduction

"Potential Theory in Applied Geophysics" introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables. Behaviour of the scalar and vector potential and the nature of the solutions of these boundary value problems are shown along with the use of complex variables and conformal transformation, Green's theorem, Green's functions and its use in integral equation. Finite element and finite difference methods for two-dimensional potential problems are discussed in considerable detail. The analytical continuation of the potential field and inverse theory, used for the interpretation of potential field data, are also demonstrated.

Keywords

Electromagnetics FD/FEM Green's theorem Inversion Potential Potential theory electromagnetic wave geophysics

Authors and affiliations

  1. 1.Calcutta-700033India

Bibliographic information

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Reviews

From the reviews:

"With 17 chapters and more than 600 pages, this is a comprehensive M.Sc.-level textbook on potential theory and electromagnetic theory with particular emphasis on geophysical applications." (Sven Ivansson, Mathematical Reviews, Issue 2008 k)

"This book has been used as textbook teaching post-graduate students in India. The book introduces theory and computational methods applied to electrical and electromagnetic fields in geophysics. … The mathematics algorithms are discussed and they are related to boundary value problems, conformal transformation, Green’s theorem, Green’s functions, finite element and finite difference methods for two-dimensional potential problems." (Chengshu Wang, Zentralblatt MATH, Vol. 1152, 2009)