Mathematical Foundation of Geodesy

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "e;A Contribution to the Mathematical Foundation of Physical Geodesy"e; from 1969, the unpublished "e;Molodenskij letters"e; from 1973, the final version of "e;Integrated Geodesy"e; from 1978, "e;Foundation of a Theory of Elasticity for Geodetic Networks"e; from 1974, as well as trend-setting papers on the theory of adjustment.

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.