The discussion centers on proving the identity div(curl A) = 0 using Gauss's and Stokes's Theorem. The participant expresses difficulty in initiating the proof but acknowledges that both the Divergence Theorem and Stokes's Theorem are applicable. The proof requires understanding the definitions of the nabla operator, cross product, and dot product, particularly under the condition that A has continuous second-order derivatives.
PREREQUISITESStudents and educators in mathematics, particularly those focusing on vector calculus and differential equations, will benefit from this discussion.
Oh and I misstated the equality above, it specifies that the div(curlA)=0 then it has continuous second-order derivatives.ehild said: