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Author Roy, K. K. (Kalyan Kumar), 1940-

Title Potential theory in applied geophysics / Kalyan Kumar Roy
Published Berlin ; New York : Springer, ©2008


Description 1 online resource (xxiii, 651 pages) : illustrations
Contents Front Matter; 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
Summary "Besides introductory remarks on gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, this book contains detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables. Behaviors of the scalar and vector potential and nature of the solutions of these boundary value problems are shown, as also the use of complex variables and conformal transformation, Green's theorem, Green's formula and Green's functions. Finite elements 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 interpretation of potential field data, is demonstrated."--Jacket
Bibliography Includes bibliographical references (pages 625-639) and index
Notes Print version record
In Springer e-books
Subject Geophysics -- Mathematics
Potential theory (Mathematics)
SCIENCE -- Earth Sciences -- Geography.
SCIENCE -- Earth Sciences -- Geology.
Potential theory (Mathematics)
Geophysics -- Mathematics.
Sciences de la terre.
Geophysics -- Mathematics.
Potential theory (Mathematics)
Form Electronic book
ISBN 9783540723349