Introduction
Geometry is a branch of mathematics concerned with the properties and relationships of points, lines, angles, surfaces, and solids. Originating from the Greek words “geo” (earth) and “metron” (measure), it began as a practical tool for land measurement and construction. Over time, geometry evolved into a rigorous field of study, particularly through the work of ancient Greek mathematicians like Euclid, who systematized geometric principles in his work Elements. Today, geometry encompasses various subfields, including Euclidean geometry, which deals with flat spaces, and non-Euclidean geometries, which explore curved spaces, playing a crucial role in disciplines such as physics, engineering, architecture, and computer graphics.
Contents
Hyperbolic Geometry
Differential Geometry
Riemannian Geometry
Symplectic Geometry
Complex Geometry
Fractal Geometry