Mathematical Foundation of Geodesy

Selected Papers of Torben Krarup
2006
ISBN: 978-3-540-33765-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 416 Seiten, Format (B × H): 215 mm x 303 mm, Gewicht: 1384 g

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includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974,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

Zielgruppe

Research

Autoren/Hrsg.

Borre, Kai

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Geophysik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Geowissenschaften Geographie | Raumplanung Geodäsie, Kartographie, GIS, Fernerkundung
• Geowissenschaften Geologie Geodäsie, Kartographie, Fernerkundung
• Geowissenschaften Geologie GIS, Geoinformatik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Geowissenschaften Geologie Geophysik

Inhaltsverzeichnis

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.

Über Autor(innen)

Kai Borre has been a professor of geodesy at Aalborg University since 1976. His professional interests are geodesy and satellite based positioning and navigation. He is the (co)author of seven textbooks and has published numerous scientific reviewed papers. He is also an editor of GPS Solutions. Dr. Borre is renowned for having written several hundred Matlab scripts for positioning. He is honorary doctor of the Vilnius Gediminas Technical University.