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I was reading the book "Mathematical Methods for Physicists", and in the first chapter, under Gauss's Theorem, the statement given was:

The surface integral of a vector over a closed surface equals the volume integral of the divergence of the vector over the entire closed surface.

But the in the mathematical form, ##\partial V## was used instead of ##S## to denote the surface integral.

I could understand that ##\partial V## is the same as ##S##. Can anyone explain how?

The surface integral of a vector over a closed surface equals the volume integral of the divergence of the vector over the entire closed surface.

But the in the mathematical form, ##\partial V## was used instead of ##S## to denote the surface integral.

I could understand that ##\partial V## is the same as ##S##. Can anyone explain how?