Recent content by gamitor

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    Differentiability of xy function

    The definition is in that link http://en.wikipedia.org/wiki/Derivative at the 4.4 section "The total derivative, the total differential and the Jacobian" The first at 4.4 that appears Thanks
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    Differentiability of xy function

    I have the definition of differentiability in the pdf file. Thanks
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    Differentiability of xy function

    Homework Statement Dear all, How can I show that the function f(x,y)=xy is differentiable? Thanks Dimitris Homework Equations The Attempt at a Solution
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    Boundary and closure relationship

    The definitions are in the following images. I tried to do it by the definitions or by the Boundary=Closure\Interior but I couldn't. Any help would be highly appreciated
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    Boundary and closure relationship

    Dear all, How can I show that: The boundary of a set S is equal to the intersection of the closure and the closure of the complement of S ? Thanks a lot in advance
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    Inverse function theorem for 1 variable

    Thanks a lot!
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    Inverse function theorem for 1 variable

    yes, exactly, but I cannot find anywhere the proof for single variable functions, do you know where it is?
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    Inverse function theorem for 1 variable

    Dear all, Does anybody knows any the proof for Inverse Function Theorem for single variable function or link where I can find that proof? Thank you in advance