Potential Theory in Applied Geophysics

1. Elements of Vector Analysis
Kalyan Kumar Roy

2. Introductory Remarks
Kalyan Kumar Roy

3. Gravitational Potential and Field
Kalyan Kumar Roy

4. Electrostatics
Kalyan Kumar Roy

5. Magnetostatics
Kalyan Kumar Roy

6. Direct Current Flow Field
Kalyan Kumar Roy

7. Solution of Laplace Equation
Kalyan Kumar Roy

8. Direct Current Field Related Potential Problems
Kalyan Kumar Roy

9. Complex Variables and Conformal Transformation in Potential Theory
Kalyan Kumar Roy

10. Green’s Theorem in Potential Theory
Kalyan Kumar Roy

11. Electrical Images in Potential Theory
Kalyan Kumar Roy

12. Electromagnetic Theory (Vector Potentials)
Kalyan Kumar Roy

13. Electromagnetic Wave Propagation Problems Related to
Geophysics
Kalyan Kumar Roy

14. Green’s Function
Kalyan Kumar Roy

15. Numerical Methods in Potential Theory
Kalyan Kumar Roy

16. Analytical Continuation of Potential Field
Kalyan Kumar Roy

17. Inversion of Potential Field Data
Kalyan Kumar Roy

Keywords: Geosciences, Geophysics/Geodesy, Mathematical and Computational Physics, Potential Theory, Math. Applications in Geosciences, Applications of Mathematics