From Riemann manifolds to Riemann manifolds -- From Riemann manifolds to Euclidean manifolds -- Coordinates -- Surfaces of Gaussian curvature zero -- “Sphere to tangential plane”: polar (normal) aspect -- “Sphere to tangential plane”: transverse aspect -- “Sphere to tangential plane”: oblique aspect -- “Ellipsoid-of-revolution to tangential plane” -- “Ellipsoid-of-revolution to sphere and from sphere to plane” -- “Sphere to cylinder”: polar aspect -- “Sphere to cylinder”: transverse aspect -- “Sphere to cylinder”: oblique aspect -- “Sphere to cylinder”: pseudo-cylindrical projections -- “Ellipsoid-of-revolution to cylinder”: polar aspect -- “Ellipsoid-of-revolution to cylinder”: transverse aspect -- “Ellipsoid-of-revolution to cylinder”: oblique aspect -- “Sphere to cone”: polar aspect -- “Sphere to cone”: pseudo-conic projections -- “Ellipsoid-of-revolution to cone”: polar aspect -- Geodetic mapping -- Datum problems.

In the context of Geographical Information Systems (GIS) the book offers a timely review of map projections (sphere, ellipsoid, rotational surfaces) and geodetic datum transformations. For the needs of photogrammetry, computer vision, and remote sensing space projective mappings are reviewed.