Potential theory.- Boundary value problems for harmonic random fields.- Free boundary problems.- Formulation and linearization of boundary value problems: From observables to a mathematical model.- The hierarchy of geodetic BVPs.- GBVP-Classical solutions and implementation.- Topographic effects in gravity field modelling for BVP.- Global models for the 1cm geoid - Present status and near term prospects.- An introduction to airborne gravimetry and its boundary value problems.- Spherical spectral properties of the earth's gravitational potential and its first and second derivatives.- Satellite altimetry, ocean dynamics and the marine geoid.- Stochastic boundary value problem theory: An elementary example.- Variational methods for geodetic boundary value problems.- Topics on boundary element methods.- Solving geodetic boundary value problems with parallel computers.- Application of boundary value techniques to satellite gradiometry.- The polar gap.- European capabilities and prospects for a spaceborne gravimetric mission.