Stokes' Theorem

Stokes’ Theorem is a way to relate the twisting or swirling of a field (like a magnetic or fluid flow) along a surface to how that field behaves around the boundary of that surface. Specifically, it states that the total "curl" (rotation) of a vector field across a surface equals the line integral (sum along the boundary) of the field itself. This means instead of calculating the rotation inside, you can understand it by examining the boundary. It’s a fundamental principle connecting the behavior of a field over an area to its behavior along the edges.