Borre K. (Ed.). Mathematical Foundation of Geodesy: Selected Papers of Torben Krarup

Springer, 2006. — 415 p. — ISBN13: 978-3-540-33765-2This book contains contributions from one of the outstanding geodesists of our time. From start to finish the reader will find wonderful insights and be stimulated by the manner in which the interdependence of various subjects emerge from these writings. The influence of Torben Krarup’s work has been tremendous, and by publishing this volume his achievements are made available to everyone.
Most of the material in the book has been hard to obtain. The idea of collecting it dates back to the 1980’s, when Helmut Moritz asked me if it were possible to publish Torben Krarup’s so-called Molodensky letters. At that time the difficulties of getting this project started prevented me from trying it.Linear Equations
The Adjustment Procedure in Tensor Form
The Theory of Rounding Errors in the Adjustment by Elements
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
S-Transformation
Integrated Geodesy
A Measure for Local Redundancy
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
Contribution to the Geometry of the Helmert Transformation
Letter on a Problem in Collocation Theory
Approximation to The Earth Potential
Relative Orientation in Photogrammetry
A Bibliography for Torben Krarup