In this paper advances in mathematical geology during period of 1997～1999 are introduced. Establishment of the concept of “The Digital Earth” and introducing its technology into mathematical geology are a new enlightenment for geomathematicans.During the abovementioned period many new branches and subjects of mathematical geoloyy such as: geostatistics, computerized geocartography, geographic information systems, Artificial neural network, grey system theories, catastrophic theories, wavelet analysis, genelic algorithm and genetic programming have been used ingeology and many valuable results have been obtained. Finally, brief conclusions are given