000 03960nam a22005295i 4500
001 978-3-540-33767-6
003 DE-He213
005 20161121230824.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540337676
_9978-3-540-33767-6
024 7 _a10.1007/3-540-33767-9
_2doi
050 4 _aGA1-1776
072 7 _aRGW
_2bicssc
072 7 _aSCI030000
_2bisacsh
072 7 _aTEC036000
_2bisacsh
082 0 4 _a910.285
_223
245 1 0 _aMathematical Foundation of Geodesy
_h[electronic resource] :
_bSelected Papers of Torben Krarup /
_cedited by Kai Borre.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXII, 416 p. 15 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aLinear 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.
520 _aThis 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.
650 0 _aGeography.
650 0 _aEarth sciences.
650 0 _aGeophysics.
650 0 _aGeographical information systems.
650 0 _aMatrix theory.
650 0 _aAlgebra.
650 0 _aPotential theory (Mathematics).
650 1 4 _aGeography.
650 2 4 _aGeographical Information Systems/Cartography.
650 2 4 _aGeophysics/Geodesy.
650 2 4 _aEarth Sciences, general.
650 2 4 _aPotential Theory.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
700 1 _aBorre, Kai.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540337652
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-33767-9
912 _aZDB-2-EES
950 _aEarth and Environmental Science (Springer-11646)
999 _c504490
_d504490