Potential Theory in Applied Geophysics
Springer Berlin (Verlag)
978-3-642-09125-4 (ISBN)
This book 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. Discussion includes behaviours of the scalar and vector potential and the nature of the solutions of these boundary value problems, along with the use of complex variables and conformal transformation, Green's theorem, Green's formula and Green's functions.
Elements of Vector Analysis.- Introductory Remarks.- Gravitational Potential and Field.- Electrostatics.- Magnetostatics.- Direct Current Flow Field.- Solution of Laplace Equation.- Direct Current Field Related Potential Problems.- Complex Variables and Conformal Transformation in Potential Theory.- Green's Theorem in Potential Theory.- Electrical Images in Potential Theory.- Electromagnetic Theory (Vector Potentials).- Electromagnetic Wave Propagation Problems Related to Geophysics.- Green's Function.- Numerical Methods in Potential Theory.- Analytical Continuation of Potential Field.- Inversion of Potential Field Data.
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)
| Erscheint lt. Verlag | 15.10.2010 |
|---|---|
| Zusatzinfo | XXIV, 651 p. 268 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1003 g |
| Themenwelt | Naturwissenschaften ► Geowissenschaften ► Geologie |
| Naturwissenschaften ► Geowissenschaften ► Geophysik | |
| Schlagworte | electromagnetics • electromagnetic wave • FD/FEM • Geophysics • Green's Theorem • Inversion • Potential • Potential Theory |
| ISBN-10 | 3-642-09125-3 / 3642091253 |
| ISBN-13 | 978-3-642-09125-4 / 9783642091254 |
| Zustand | Neuware |
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