Mathematical geometry
Mathematical geometry is the branch of mathematics that studies the properties and relationships of geometric objects, such as points, lines, curves, and surfaces. It is a fundamental area of study that has numerous applications in physics, engineering, and computer science. The field of mathematical geometry is closely related to topology, differential geometry, and geometric algebra. Key concepts in mathematical geometry include distance metric, geodesic, and curvature. Mathematicians such as Albert Einstein and Henri Poincaré have made significant contributions to the development of mathematical geometry.