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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.
"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.
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