# Proof of equality of the integral and differential form of Maxwell's equation

Just curious, can anyone show how the integral and differential form of Maxwell's equation is equivalent? (While it is conceptually obvious, I am thinking rigorous mathematical proof may be useful in some occasions..)

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Are you familiar with Green's and Stoke's theorems? –  Jerry Schirmer Oct 9 '12 at 16:48
@JerrySchirmer yes. (and I just want to see more rigorous proof; conceptually, this is somehow obvious, I guess.) –  Paul Reubens Oct 9 '12 at 17:05
Just integrate the divergences and the curls using green's and stokes theorems and you will get the integral form. –  Prathyush Oct 9 '12 at 19:16
Comment to the question(v2): Could you narrow down which part of the standard textbook treatment you don't find rigorous? –  Qmechanic Oct 9 '12 at 22:36