👉 Development math, also known as differential geometry or geometric analysis, is a branch of mathematics that studies the properties of curves and surfaces using tools from calculus and differential geometry. It focuses on understanding how geometric objects, like manifolds, change and evolve over time or space. The core development in this field involves the introduction of concepts such as tangent vectors, curvature, and geodesics, which describe how these objects behave locally and globally. Key mathematical tools include differential forms, Lie derivatives, and the calculus of variations, which help in analyzing the intrinsic and extrinsic properties of geometric objects. This field has evolved significantly since its inception, with major contributions from mathematicians like Bernhard Riemann, Henri Poincaré, and Gregorio Ricci-Curbastro, leading to applications in theoretical physics, particularly in general relativity and string theory.
