Knowra Geomathematics Geomathematics Geomathematics applies mathematical methods to Earth sciences, including geophysics, geology, geodesy, and the modeling of Earth's structure and processes.
Seismic tomography : A method that reconstructs images of Earth's interior from seismic-wave travel times. It turns earthquake-wave observations into mathematical images of subsurface structure.
Inverse problem : A problem that infers causes or structures from their observed effects. Many Earth-science measurements require inferring hidden structures from surface signals.
Linear algebra : The mathematics of vectors, matrices, and linear transformations. It underlies the large systems of equations used to fit and invert geoscience data.
Physical geography : The study of Earth's surface environments and the physical processes shaping them. It investigates many of the same systems, but emphasizes geographic patterns and processes rather than mathematical methods.
Gravity anomaly : A difference between measured gravity and a predicted reference value at a location. Gravity anomalies provide quantitative constraints on hidden variations in Earth's mass.
Finite element method : A numerical method that approximates solutions to differential equations by dividing a domain into elements. It models stress, heat flow, and deformation in irregular Earth geometries.
Fourier analysis : Methods for representing functions as combinations of sinusoidal components. Frequency-domain methods reveal patterns in seismic, magnetic, and gravity measurements.
Earth science : The study of Earth's physical, chemical, and biological systems and their history. Geomathematics is a quantitative approach spanning several Earth-science disciplines.
Geodetic surveying : The measurement of positions, distances, and elevations on Earth's surface. Geodetic measurements supply coordinates and deformation data for mathematical analysis.
Bayesian inference : A statistical framework that updates probability distributions using observed evidence. It combines prior geological knowledge with uncertain measurements to estimate Earth properties.
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