Map Projections

1 From Riemann manifolds to Riemann manifolds.- 2 From Riemann manifolds to Euclidean manifolds.- 3 Coordinates.- 4 Surfaces of Gaussian curvature zero.- 5 Sphere to tangential plane" : polar (normal) aspect.- 6 Sphere to tangential plane" : transverse aspect.- 7 Sphere to tangential plane : oblique aspect.- 8 Ellipsoid-of-revolution to tangential plane.- 9 Ellipsoid-of-revolution to sphere and from sphere to plane.- 10 Sphere to cylinder : polar aspect.- 11 Sphere to cylinder : transverse aspect.- 12 Sphere to cylinder : oblique aspect.- 13 Sphere to cylinder : pseudeo-cylindrical projections.- 14 Ellipsoid-of-revolution to cylinder : polar aspect.- 15 Ellipsoid-of-revolution to cylinder : transverse aspect.- 16 Ellipsoid-of-revolution to cylinder : oblique aspect.- 17 Sphere to cone : polar aspect.- 18 Sphere to cone : pseudo-conic projections.- 19 Ellipsoid-of-revolution to cone : polar aspect.- 20 Geodetic mapping.- 21 Datum problems.- A. Law and Order.- B. The inverse of a multivariate homogeneous polynomial.- C. Elliptic integrals.- D. Korn-Lichtenstein and d'Alembert-Euler equations.- E. Geodesics.- F. Mixed cylindric map projections.- G. Generalized Mollweide projection.- H. Generalized Hammer projection.- I. Mercator projection and polycylindric projection.- J. Gauss surface normal coordinates in geometry and gravity space.- Bibliography.- Index.