Includes bibliographical references and index.

Differential calculus of vector fields and differential forms -- Foundations of field theory -- Electromagnetic field equations -- Models of electromagnetic induction in the Earth -- Electromagnetic fields in horizontally stratified media -- Electromagnetic fields in inhomogeneous media -- Principles of ill-posed inverse problem solution -- Electromagnetic inversion -- Electromagnetic migration -- Electromagnetic properties of rocks and minerals -- Generation and measurement of electromagnetic fields in geophysical applications -- Direct current and induced polarization methods -- Magnetotelluric and magnetovariational methods -- Electromagnetic methods in the frequency and time domains -- Marine electromagnetic methods -- Other platforms, other methodologies -- Algebra of differential forms -- Calculus of differential forms -- Mathematical notations -- Definition of fields and units -- Linear operators and their matrices.