Ebook: Mathematical Foundation of Geodesy: Selected Papers of Torben Krarup
Author: Prof. Dr. Kai Borre (eds.)
- Tags: Geophysics/Geodesy, Math. Applications in Geosciences, Computer Applications in Geosciences, Potential Theory, Linear and Multilinear Algebras Matrix Theory
- Year: 2006
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974,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.
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contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974,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.
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.
Content:
Front Matter....Pages I-XII
Linear Equations....Pages 1-15
The Adjustment Procedure in Tensor Form....Pages 17-21
The Theory of Rounding Errors in the Adjustment by Elements of Geodetic Networks....Pages 23-28
A Contribution to the Mathematical Foundation of Physical Geodesy....Pages 29-90
A Remark on Approximation of T by Series in Spherical Harmonics....Pages 91-92
On the Geometry of Adjustment....Pages 93-100
Remarks to the Discussion Yesterday....Pages 101-103
Letters on Molodenskiy’s Problem....Pages 105-134
On the Spectrum of Geodetic Networks....Pages 135-151
Mathematical Geodesy....Pages 153-157
Foundation of a Theory of Elasticity for Geodetic Networks....Pages 159-178
Integrated Geodesy....Pages 179-206
On Potential Theory....Pages 207-255
La Formule de Stokes Est-Elle Correcte?....Pages 257-259
Some Remarks About Collocation....Pages 261-272
Apropos Some Recent Papers by Willi Freeden on a Class of Integral Formulas in the Mathematical Geodesy....Pages 273-280
S-Transformation or How to Live Without the Generalized Inverse—Almost....Pages 281-288
Integrated Geodesy....Pages 289-299
A Measure for Local Redundancy—A Contribution to the Reliability Theory for Geodetic Networks....Pages 301-307
A Convergence Problem in Collocation Theory....Pages 309-322
Non-Linear Adjustment and Curvature....Pages 323-331
Mechanics of Adjustment....Pages 333-339
Angelica Returning or The Importance of a Title....Pages 341-346
Evaluation of Isotropic Covariance Functions of Torsion Balance Observations....Pages 347-358
Contribution to the Geometry of the Helmert Transformation....Pages 359-374
Letter on a Problem in Collocation Theory....Pages 375-377
Approximation to The Earth Potential From Discrete Measurements....Pages 379-393
An Old Procedure for Solving the Relative Orientation in Photogrammetry....Pages 395-412
Back Matter....Pages 413-416
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.
Content:
Front Matter....Pages I-XII
Linear Equations....Pages 1-15
The Adjustment Procedure in Tensor Form....Pages 17-21
The Theory of Rounding Errors in the Adjustment by Elements of Geodetic Networks....Pages 23-28
A Contribution to the Mathematical Foundation of Physical Geodesy....Pages 29-90
A Remark on Approximation of T by Series in Spherical Harmonics....Pages 91-92
On the Geometry of Adjustment....Pages 93-100
Remarks to the Discussion Yesterday....Pages 101-103
Letters on Molodenskiy’s Problem....Pages 105-134
On the Spectrum of Geodetic Networks....Pages 135-151
Mathematical Geodesy....Pages 153-157
Foundation of a Theory of Elasticity for Geodetic Networks....Pages 159-178
Integrated Geodesy....Pages 179-206
On Potential Theory....Pages 207-255
La Formule de Stokes Est-Elle Correcte?....Pages 257-259
Some Remarks About Collocation....Pages 261-272
Apropos Some Recent Papers by Willi Freeden on a Class of Integral Formulas in the Mathematical Geodesy....Pages 273-280
S-Transformation or How to Live Without the Generalized Inverse—Almost....Pages 281-288
Integrated Geodesy....Pages 289-299
A Measure for Local Redundancy—A Contribution to the Reliability Theory for Geodetic Networks....Pages 301-307
A Convergence Problem in Collocation Theory....Pages 309-322
Non-Linear Adjustment and Curvature....Pages 323-331
Mechanics of Adjustment....Pages 333-339
Angelica Returning or The Importance of a Title....Pages 341-346
Evaluation of Isotropic Covariance Functions of Torsion Balance Observations....Pages 347-358
Contribution to the Geometry of the Helmert Transformation....Pages 359-374
Letter on a Problem in Collocation Theory....Pages 375-377
Approximation to The Earth Potential From Discrete Measurements....Pages 379-393
An Old Procedure for Solving the Relative Orientation in Photogrammetry....Pages 395-412
Back Matter....Pages 413-416
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