Part I: 1. The forward modelling of the gravity field.- 2. Observable of physical geodesy and their analytical representation.- 3. Harmonic calculus and global gravity models.- 4. The local modellling of the gravity field: terrain effects.- 5. The local modelling of the gravity field by collocation.- Part II: 6. Global gravitational Models.- 7. Geoid determination by 3D least squares collaction.- 8. Mass reductions in geoid modelling.- 9. Marine gravity and geoid from satellite altimetry.- 10. Geoid determination by fast Fourier transform techniques.- 11.- Combination of heights.- Part III: 12. Hilbert spaces and deterministic collacation.- 13. On potential theory and HS of harmonic functions.- 14. A quick look to classical BVP solutions.- 15. The analysis of geodetic boundary value problems (BVP) in linear form.