👉 Turn math, also known as differential geometry or smooth geometry, is a branch of mathematics that studies the properties of curves and surfaces using calculus and differential equations. It focuses on understanding how these geometric objects change continuously, much like how a smooth function changes its value at every point. The core concept involves the use of derivatives to measure rates of change and slopes, which are then generalized to higher dimensions through tangent vectors and differential forms. This allows mathematicians to describe and analyze the behavior of curves and surfaces in a very precise and powerful way, leading to applications in physics, engineering, and computer science, particularly in areas like general relativity, robotics, and computer graphics.
