The majority of known methodologies for the quantitative analysis of magnetic anomalies (the most developed geophysical potential method) are based on the assumptions of vertical magnetization, flat relief, and a known level of the normal field (i.e., the absence of superposed magnetic anomalies). The developed methodologies for magnetic field analysis (improved methods for characteristic points, tangents, and specific areas) are free of these weaknesses. These methodologies were converted (with definite modifications) to other potential (gravity, magnetic, thermal, self-potential, and resistivity) and quasi-potential (Very Low Frequency (VLF), induced polarization, and piezoelectric) geophysical methods. An analogue of the magnetization vector is the polarization vector in other fields. These techniques were developed for the main interpretation models (both vertical and inclined): thin bed, thick bed, sphere, horizontal circular cylinder, vertical circular cylinder, thin horizontal plate, and an intermediate model between the thick bed and thin horizontal plate models. Clearly, the models, or their combination, cover most geological bodies in nature. In Israel, the developed interpretation techniques were successfully applied: (1) for geological-geophysical mapping using the magnetic field (Lake Kinneret, Dead Sea, Makhtesh Ramon, northern Israel, Eastern Mediterranean), (2) for studying deep structure using gravity and magnetic fields and accompanying the methodology of 3D combined gravity-magnetic modeling (Mt. Carmel, Rosh-HaAyin, Eastern Mediterranean), (3) on about forty five archaeological sites using magnetic (including remote operative technology), self-potential, temperature, resistivity, and piezoelectric methods, (4) for the localization of karst terranes in the Dead Sea region using gravity, magnetic, and thermal fields, (5) for the military purposes using magnetic field, (6) for solving different environmental problems using the VLF method and magnetics (Negev Desert), (7) for advanced analysis of thermal data observed in wells. For the quantitative integration of potential and quasi-potential, as well as other fields, a special procedure based on information theory has been developed.