Differential Geometry is a branch of mathematics that studies the properties and structures of curves and surfaces using techniques from calculus and linear algebra. It focuses on concepts such as curvature, which describes how a shape bends, and geodesics, which are the shortest paths between points on a surface. This field has applications in various areas, including physics, where it helps describe the shape of space in General Relativity, and computer graphics, where it aids in modeling and rendering surfaces. Notable figures in this field include Bernhard Riemann and Carl Friedrich Gauss, who contributed significantly to its development.