Book 2006

Mathematical Foundation of Geodesy

Selected Papers of Torben Krarup

Editors:

ISBN: 978-3-540-33765-2 (Print) 978-3-540-33767-6 (Online)

Table of contents (28 chapters)

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  1. Front Matter

    Pages I-XII

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    Chapter

    Pages 1-15

    Linear Equations

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    Chapter

    Pages 17-21

    The Adjustment Procedure in Tensor Form

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    Chapter

    Pages 23-28

    The Theory of Rounding Errors in the Adjustment by Elements of Geodetic Networks

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    Chapter

    Pages 29-90

    A Contribution to the Mathematical Foundation of Physical Geodesy

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    Chapter

    Pages 91-92

    A Remark on Approximation of T by Series in Spherical Harmonics

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    Chapter

    Pages 93-100

    On the Geometry of Adjustment

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    Chapter

    Pages 101-103

    Remarks to the Discussion Yesterday

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    Chapter

    Pages 105-134

    Letters on Molodenskiy’s Problem

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    Chapter

    Pages 135-151

    On the Spectrum of Geodetic Networks

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    Chapter

    Pages 153-157

    Mathematical Geodesy

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    Chapter

    Pages 159-178

    Foundation of a Theory of Elasticity for Geodetic Networks

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    Chapter

    Pages 179-206

    Integrated Geodesy

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    Chapter

    Pages 207-255

    On Potential Theory

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    Chapter

    Pages 257-259

    La Formule de Stokes Est-Elle Correcte?

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    Chapter

    Pages 261-272

    Some Remarks About Collocation

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    Chapter

    Pages 273-280

    Apropos Some Recent Papers by Willi Freeden on a Class of Integral Formulas in the Mathematical Geodesy

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    Chapter

    Pages 281-288

    S-Transformation or How to Live Without the Generalized Inverse—Almost

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    Chapter

    Pages 289-299

    Integrated Geodesy

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    Chapter

    Pages 301-307

    A Measure for Local Redundancy—A Contribution to the Reliability Theory for Geodetic Networks

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    Chapter

    Pages 309-322

    A Convergence Problem in Collocation Theory

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