Overview
New kind of approach to basic topics on potential theory for postgraduate students and geophysicists
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
"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.
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)
Authors and Affiliations
Bibliographic Information
Book Title: Potential Theory in Applied Geophysics
Authors: Kalyan Kumar Roy
DOI: https://doi.org/10.1007/978-3-540-72334-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-72089-8Published: 08 November 2007
Softcover ISBN: 978-3-642-09125-4Published: 15 October 2010
eBook ISBN: 978-3-540-72334-9Published: 15 November 2007
Edition Number: 1
Number of Pages: XXIV, 651
Number of Illustrations: 268 b/w illustrations
Topics: Geophysics/Geodesy, Theoretical, Mathematical and Computational Physics, Potential Theory, Earth Sciences, general, Applications of Mathematics