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Author Krarup, Torben.
Title Mathematical foundation of geodesy : selected papers of Torben Krarup / Kai Borre (editor).
Imprint Berlin ; New York : Springer, 2006.

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Author Krarup, Torben.
Subject Geodesy -- Mathematical models.
Geodesy -- Mathematics.
Alt Name Borre, K. (Kai)
Description 1 online resource (xii, 416 pages) : illustrations
Note Collection of texts partly published previously.
Bibliography Note Includes bibliographical references.
Contents Machine generated contents note: 1. Linear equations -- 2. adjustment procedure in tensor form -- 3. theory of rounding errors in the adjustment by elements -- 4. contribution to the mathematical foundation of physical geodesy -- 5. remark on approximation of T by series in spherical harmonics -- 6. On the geometry of adjustment -- 7. Remarks to the discussion yesterday -- 8. Letters on Molodenskiy's problem -- 9. On the spectrum of geodetic networks -- 10. Mathematical geodesy -- 11. Foundation of a theory of elasticity for geodetic networks -- 12. Integrated geodesy -- 13. On potential theory -- 14. La Formule de Stokes Est-Elle Correcte? -- 15. Some remarks about collocation -- 16. Apropos some recent papers by Willi Freeden -- 17. S-transformation -- 18. Integrated geodesy -- 19. measure for local redundancy -- 20. convergence problem in collocation theory -- 21. Non-linear adjustment and curvature -- 22. Mechanics of adjustment -- 23. Angelica returning or the importance of a title -- 24. Evaluation of isotropic covariance functions -- 25. Contribution to the geometry of the Helmert transformation -- 26. Letter on a problem in collocation theory -- 27. Approximation to the Earth potential -- 28. Relative orientation in photogrammetry.
Summary 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contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974,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.
Note Print version record.
ISBN 3540337652 (hd. bd.)
3540337679 (electronic bk.)
9783540337676 (electronic bk.)
ISBN/ISSN 10.1007/3-540-33767-9
OCLC # 75960347
Additional Format Print version: Krarup, Torben. Mathematical foundation of geodesy. Berlin ; New York : Springer, 2006 3540337652 (DLC) 2006923696 (OCoLC)70178006

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