Mathematical Foundation of Geodesy Selected Papers of Torben Krarup - Borre, Kai.; SpringerLink (Online service) (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006)
Linear Equations -- The Adjustment Procedure in Tensor Form -- The Theory of Rounding Errors in the Adjustment by Elements of Geodetic Networks -- A Contribution to the Mathematical Foundation of Physical Geodesy -- A Remark on Approximation of T by Series in Spherical Harmonics -- On the Geometry of Adjustment -- Remarks to the Discussion Yesterday -- Letters on Molodenskiy's Problem -- On the Spectrum of Geodetic Networks -- Mathematical Geodesy -- Foundation of a Theory of Elasticity for Geodetic Networks -- Integrated Geodesy -- On Potential Theory -- La Formule de Stokes Est-Elle Correcte? -- Some Remarks About Collocation -- Apropos Some Recent Papers by Willi Freeden on a Class of Integral Formulas in the Mathematical Geodesy -- S-Transformation or How to Live Without the Generalized Inverse-Almost -- Integrated Geodesy -- A Measure for Local Redundancy-A Contribution to the Reliability Theory for Geodetic Networks -- A Convergence Problem in Collocation Theory -- Non-Linear Adjustment and Curvature -- Mechanics of Adjustment -- Angelica Returning or The Importance of a Title -- Evaluation of Isotropic Covariance Functions of Torsion Balance Observations -- Contribution to the Geometry of the Helmert Transformation -- Letter on a Problem in Collocation Theory -- Approximation to The Earth Potential From Discrete Measurements -- An Old Procedure for Solving the Relative Orientation in Photogrammetry.
Keywords: Geographical information systems; Geophysics; Earth sciences; Potential theory (Mathematics).; Matrix theory; Algebra; Geographical Information Systems/Cartography.; Geophysics/Geodesy.; Earth Sciences, general; Potential Theory; Linear and Multilinear Algebras, Matrix Theory