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Potential Theory in Applied Geophysics de Kalyan Kumar Roy

Potential Theory in Applied Geophysics

Autor Kalyan Kumar Roy
en Limba Engleză Hardback – 8 noi 2007
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.
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Specificații

ISBN-13: 9783540720898
ISBN-10: 3540720898
Pagini: 702
Ilustrații: XXIV, 651 p. 268 illus.
Dimensiuni: 155 x 235 x 30 mm
Greutate: 2.46 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Descriere

"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.

Cuprins

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.

Recenzii

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)

Caracteristici

New kind of approach to basic topics on potential theory for postgraduate students and geophysicists