Written for geodesists using computers of modest capacity, the book reviews the latest development in geodetic computation techniques. The aim is to take stock of available data (datums, ellipsoids, units etc.), to focus on applications and to illuminate spatial developments. Topics cover datums and reference systems, geodetic arc distances, different projections and coordinate systems. The material has been specially chosen and covers the practical aspect of geodesy, including the demonstration of global examples. Stressing the how-to-do approach, the book is of interest to students in geodesy, GIS consultants, hydrographers and land surveyors.

This book gives a systematic overview of the fundamental theories, frameworks and methods for measurement and evaluation applying to geodesy, though the contribution of geodetic spatial techniques for positioning and for establishing the gravitational field receives particular emphasis. These methods have led to a change in the setting up of geodetic basic networks that is also of importance in practical terms; for interdisciplinary geodynamics research geodesy can likewise make major contributions with their assistance. The current status of geodesy is illustrated by numerous examples from survey, evaluation and analysis; an extensive literature list makes further study all the easier. The book conveys an extensive overview of the profound changes that geodesy has undergone in the past twenty years.

Geodesy: The Concepts, Second Edition focuses on the processes, approaches, and methodologies employed in geodesy, including gravity field and motions of the earth and geodetic methodology. The book first underscores the history of geodesy, mathematics and geodesy, and geodesy and other disciplines. Discussions focus on algebra, geometry, statistics, symbolic relation between geodesy and other sciences, applications of geodesy, and the historical beginnings of geodesy. The text then ponders on the structure of geodesy, as well as functions of geodesy and geodetic theory and practice. The publication examines the motions, gravity field, deformations in time, and size and shape of earth. Topics include tidal phenomena, tectonic deformations, actual shape of the earth, gravity anomaly and potential, and observed polar motion and spin velocity variations. The elements of geodetic methodology, classes of mathematical models, and formulation and solving of problems are also mentioned. The text is a dependable source of data for readers interested in the concepts involved in geodesy.

Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression. Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.