Incluye referencias bibliográficas e índice. CONTENIDO: Introduction to Inversion Theory. Forward and inverse problems in geophysics -- Ill-posed problems and the methods of their solution -- Methods of the Solution of Inverse Problems. Linear discrete inverse problems -- Iterative solutions of the linear inverse problem -- Nonlinear inversion technique -- Geopotential Field Inversion. Integral representations in forward modeling of gravity and magnetic fields -- Integral representations in inversion of gravity and magnetic data -- Electromagnetic Inversion. Foundations of electromagnetic theory -- Integral representations in electromagnetic forward modeling -- Integral representations in electromagnetic inversion -- Electromagnetic migration imaging -- Differential methods in electromagnetic modeling and inversion -- Seismic Inversion. Wavefield equations -- Integral representations in wavefield theory -- Integral representations in wavefield inversion -- A. Functional spaces of geophysical models and data -- B. Operators in the spaces of models and data -- C. Functionals in the spaces of geophysical models -- D. Linear operators and functionals revisited -- E. Some formulae and rules from matrix algebra -- F. Some formulae and rules from tensor calculus.