Stokes’s theorem

Stokes's theorem is a fundamental concept in vector analysis, named after British scientist Sir George G. Stokes. It relates the circulation of a vector field on a surface to the flux of its curl through that surface. Essentially, it generalizes the fundamental theorem of calculus to higher dimensions, stating that the integral of a derivative over a region is equal to the integral of the function over the boundary of that region.123

Stokes's law, also developed by Sir George G. Stokes, describes the drag force on a small spherical particle moving through a viscous fluid. This law is crucial in understanding phenomena like sediment settling and fluid viscosity measurements.45