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Multiple integral notation (or abuse of?)

  1. Jan 23, 2012 #1
    So I've seen quite a variety of notations that deviate from what we've learned in our "normal" math courses.

    In math classes we write a volume integral as:
    [tex]\iiint_W \rho\, d V[/tex]
    but somehow once we start doing E&M and QM, professors often just drop the extra integral signs:
    [tex]\int_W \rho\, d V[/tex]
    Is this justifiable? Or just a short-hand? I've seen this happen to both volume and surface integrals.

    Then there's this stranger notation which is more rarely used:
    [tex]\int \frac{1}{|\vec{r}-\vec{r'}|} \, d^3 r'[/tex]
    Is there some particular reason why this is used over something simpler [itex]dV'[/itex]?

    Maybe I'm just being too picky/OCD about notations, I dunno.
     
  2. jcsd
  3. Jan 23, 2012 #2

    mathman

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    It is just notation. There is no deep meaning to the differences. The important thing is the differential. dV means your integrating over volume. d3r implies 3 one-d differentials to get volume.
     
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