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includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974,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.

Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.

Geodetic reference frames are the basis for The programme of the Symposium was divided three-dimensional, time dependent positioning according to the Sub-commissions, Projects in all global, regional and national networks, in and Study Groups of Commission 1 into eight cadastre, engineering, precise navigation, geo- general themes: information systems, geodynamics, sea level studies, and other geosciences. They are 1. Combination of space techniques necessary to consistently estimate unknown 2. Global reference frames and Earth rotation parameters using geodetic observations, e. g. , 3. Regional reference frames station coordinates, Earth orientation and 4. Interaction of terrestrial and celestial frames rotation parameters. Commission 1 “Reference 5. Vertical reference frames Frames” of the International Association of 6. Ionosphere modelling and analysis Geodesy (IAG) was established within the new 7. Satellite altimetry structure of IAG in 2003 with the mission to 8. Use of GNSS for reference frames study the fundamental scientific problems for the establishment of reference frames. One day of the Symposium was dedicated to a The principal objective of the scientific work joint meeting with the International Congress of the Commission is basic research on: of Federación Internationale des Géomètres - Definition, establishment, maintenance, and (FIG) and the INTERGEO congress of the improvement of geodetic reference frames. German Association of Surveying, Geo- - Advanced development of terrestrial and information and Land Management. The space observation techniques for this contributions presented at this meeting are purpose. integrated into these proceedings.

The 18 papers of the book give a comprehensive overview over recent advancesof geodetic research in Latin America. The book is divided in three parts: 1. Geodetic and gravimetric control in Latin America 2. Regional Gravity and Geoid Determination 3. Geodynamic Research Projects The Symposium was held in Vienna, August 1991, at the General Assembly of the International Union of Geodesy and Geophysics.

The third edition of this well-known textbook, first published in 1980, has been completely revised in order to adequately reflect the drastic changes which occured in the field of geodesy in the last twenty years. Reference systems are now well established by space techniques, which dominate positioning and gravity field determination. Terrestrial techniques still play an important role at local and regional applications, whereby remarkable progress has been made with respect to automatic data aquisition. Evaluation methods are now three-dimensional in principle, and have to take the gravity field into account. Geodetic control networks follow these developments, with far-reaching consequences for geodetic practice. Finally, the increased accuracy of geodetic products and high data rates have significantly increased the contributions of geodesy to geodynamics research, thus strengthening the role of geodesy within the geosciences. The present state of geodesy is illustrated by recent examples of instruments and results. An extensive reference list supports further studies.