During the last decades technological progress has changed completely the observational methods in all fields of geosciences and -engineering with a trend to achieve immediate results, thus reducing time and costs. Modern high speed computers and satellite based techniques are entering more and more disciplines like geodesy, geology, geophysics, meteorology, navigation and many others. The increasing observational accuracy demands adequate mathematical tools; mathematics concerned with geoscientific problems, i.e. geomathematics, is becoming more and more indispensable. Geomathematics offers appropriate means of assimilating, assessing and reducing to comprehensible form the readily increasing flow of data from geochemical, geodetic, geological, geophysical and satellite sources and providing an objective basis for scientific interpretation, classification, testing of concepts and solution of problems. Undoubtedly, the stage is set for geomathematics to play a major role in all earth's sciences.
A detailed report about the fields of research is available here