Mathematical Foundation of Geodesy [electronic resource] : Selected Papers of Torben Krarup /
Krarup, Torben.
Borre, Kai.editor.
This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. His writings are mathematically well founded and scientifically relevant. In this impressive collection of papers he demonstrates his rare innovative ability to present significant topics and concepts. Modern students of geodesy can learn a lot from his selection of mathematical tools for solving actual problems. The collection contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as numerous trend setting papers on the theory of adjustment.
Description based upon print version of record.
Includes bibliographical references.
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.
This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. His writings are mathematically well founded and scientifically relevant. In this impressive collection of papers he demonstrates his rare innovative ability to present significant topics and concepts. Modern students of geodesy can learn a lot from his selection of mathematical tools for solving actual problems. The collection contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as numerous trend setting papers on the theory of adjustment.
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.