Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Where can I find a full proof of green theorem?

  1. Aug 11, 2011 #1
    Please , can any one recommend me to a reference containing Full proof of Green theorem.

    Thank you.
     
  2. jcsd
  3. Aug 11, 2011 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    The theorem that you actually want is the generalized Stokes theorem. Greens theorem is a simple corollary from that.

    There are several books out there that prove the generalized Stokes theorem. My favorite is "differential forms" by Weintraub.

    Other books are
    - "calculus on manifolds" by Spivak
    - "Principles of Mathematical Analysis" by Rudin
    - "Analysis on manifolds" by Munkres

    There are probably lots more of books out there that deal with Stokes theorem, but I don't know them...
     
  4. Aug 11, 2011 #3
    Thank you.
     
  5. Aug 12, 2011 #4
    Micromass: I don't mean to diss you, but I think Rudin's proof is way too
    ungeometric, in case Nanas wants a somewhat-geometric argument, i.e.
    Rudin axiomatizes diff. forms, and does not give much of what I would
    consider enough background. But that comes down to a matter of taste.

    Most books in advanced calculus should have a proof
     
  6. Aug 12, 2011 #5

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    I completely agree!! Rudin's proof is horrible. I just included it because it has a proof of it, and because some people do tend to like Rudin. Don't know why though...
     
  7. Aug 13, 2011 #6

    lavinia

    User Avatar
    Science Advisor
    Gold Member

    Green's theorem generalizes the fundamental theorem of calculus and if you give it a shot you will be able to prove it yourself. try it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Where can I find a full proof of green theorem?
Loading...