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"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.
Geophysics. --- Potential theory (Mathematics) --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Physical geography. --- Potential theory (Mathematics). --- Geography. --- Mathematics. --- Geophysics/Geodesy. --- Theoretical, Mathematical and Computational Physics. --- Potential Theory. --- Earth Sciences, general. --- Applications of Mathematics. --- Math --- Science --- Geography --- Cosmography --- World history --- Mathematical physics. --- Earth sciences. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Geosciences --- Environmental sciences --- Physical sciences --- Physical mathematics --- Mathematics
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