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 twodimensional 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 625639) and index 
Notes 
Print version record 
In 
Springer ebooks 
Subject 
Geophysics  Mathematics


Potential theory (Mathematics)


Geophysics.


geophysics.


SCIENCE  Earth Sciences  Geography.


SCIENCE  Earth Sciences  Geology.


Potential theory (Mathematics)


Geophysics.


Geophysics  Mathematics.


Environnement.


Sciences de la terre.


Geophysics.


Geophysics  Mathematics.


Potential theory (Mathematics)

Form 
Electronic book

ISBN 
9783540723349 

354072334X 

3540720898 

9783540720898 
