This text offers simultaneous treatment of the theory and numerical applications of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination; the downward continuation of a harmonic function; Stokes' problem formulated with ellipsoid of revolution; spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential; and the altimetry-gravimetry boundary-value problem. Answers to a...