Module 1 : A Crash Course in Vectors
Lecture 5 : Curl of a Vector - Stoke's Theorem
Laplacian :
Since gradient of a scalar field gives a vector field, we may compute the divergence of the resulting vector field to obtain yet another scalar field. The operator div(grad) $= \nabla\cdot\nabla$is called the Laplacian and is written as $\nabla^2$.
If $V$is a scalar, then,
 
\begin{eqnarray*} \nabla^2 V &=& \nabla\cdot(\nabla V)\\ &=& \left(\hat\imath\... ...frac{\partial^V} {\partial y^2}+\frac{\partial^2V}{\partial z^2} \end{eqnarray*}
  Example 24
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