diff --git a/bs22b044.tex b/bs22b044.tex new file mode 100644 index 0000000..a19b0f7 --- /dev/null +++ b/bs22b044.tex @@ -0,0 +1,17 @@ +\section{BS22B044} +Stokes Theorem (also known as Generalized Stoke’s Theorem) is a declaration about the integration of differential forms on manifolds, which both generalizes and simplifies several theorems from vector calculus. As per this theorem, a line integral is related to a surface integral of vector fields. Learn the stokes law here in detail with formula and proof. +\\ +The Stoke’s theorem states that “the surface integral of the curl of a function over a surface bounded by a closed surface is equal to the line integral of the particular vector function around that surface.” +\begin{equation} + \oint_C \vec{F} \cdot d\vec{r} = \int_S \nabla \times \vec{F} \cdot d\vec{S} +\end{equation}\\ +Where, +C = A closed curve. \\ +S = Any surface bounded by C.\\ +F = A vector field whose components have continuous derivatives in an open region of $R^3$containing S.\\ +Stokes’ theorem provides a relationship between line integrals and surface integrals.Stokes’ theorem and the generalized form of this theorem are fundamental in determining the line integral of some particular curve and evaluating a bounded surface’s curl. Generally, this theorem is used in physics. +\footnote{REFERENCE:-https://byjus.com/maths/stokes-theorem/} +\\ +\\ +NAME:-Anchal Chinchkhede \\ +GITHUB ID:-AnchalChinchkhede