Analysis of the Gravity Field: Direct and Inverse Problems

Introduction.- Part I: Forward Modelling of the Gravity Field.- The Vertical Gravitational Signal of Homogeneous Bodies, Bounded in the Horizon Plane.- Fourier Methods.- Part II: The Preprocessing and Processing of Gravity Data: From Observations to a Gravity Map on a Local Horizontal Plane.- The Gravity Field of Earth.- Gravity Surveying and Preprocessing.- Gravity Processing.- Part III: Inverse Theory and Applications.- Elementary Inverse Theory.- On the Mathematical Characterization of the Inverse Gravity Problem.- General Inversion Approaches.- Some Conclusions.- Part IV: Appendices.- Mathematical Auxillia.- The Theory of Random Fields and the Wiener-Kolmogorov Prediction Method.- The Tikhonov Regularization and Morozov's Discrepancy Principle.