Recent content by flooey.D

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    Differentiable functions in complex analysis

    Thank you everyone. I wish I would have thought of this in the first place; thanks for the extra tip.
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    Differentiable functions in complex analysis

    New CR equations are 1st set: \frac{\partial{u}}{\partial{r}} = -\frac{1}{r^2}\cos \theta and \frac{1}{r}\frac{\partial{v}}{\partial{\theta}} = \frac{1}{r^2}\cos \theta 2nd set: \frac{\partial{u}}{\partial{\theta}} = -\frac{1}{r}\sin \theta and -\frac{r\partial{v}}{\partial{r}} =...
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    Differentiable functions in complex analysis

    Ahh, I'm seeing that I should have written x+iy = re^{i\theta} , is this what you are hinting at? Re-working through it all I get down to similar expressions for the C-R conditions above with 2 changing to 1, and the powers of r decreasing by 1. My conclusion above is still the same.
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    Differentiable functions in complex analysis

    Well, it wasn't in terms of z. It was \frac{x+iy}{x^2 + y^2} which i thought would work better if I changed it to polar form.
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    Differentiable functions in complex analysis

    Hello all, I have the following problem from Complex Analysis that I would like for someone to check my understanding on: Homework Statement The problem is to find the derivative if it exists of f(z) = \frac{e^{i\theta}}{r^2} = r^{-2}\cos \theta + i r^{-2}\sin \theta where I have already...
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    Applied Mathematics vs Computational Finance

    I have received some admissions decisions from the graduate programs that I have applied to, and I am stuck with a tough decision to make. I am hoping to hear from those who may have found themselves in a similar situation or someone who may have relevant industry experience who can shed some...
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