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Math Help - Conformal Mappings - Mobius Transformations

  1. #1
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    Conformal Mappings - Mobius Transformations

    Hi Guys, Any help with this greatly appreciated:
    Conformal Mappings - Mobius Transformations-q1a.jpg
    Note: Equation for part (ii) is "every line or circle has an equation of the form
    a(x^2+y^2)+bx+cy+d=0, where a,b,c,d are subset R and b^2+c^2>4ad

    Thank you
    The Moolimuncha
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  2. #2
    Super Member Rebesques's Avatar
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    ...The Moolimuncha?



    Anyway... f maps the circle C into either a circle or a line. One simple way to do this, is to find three points on C and their respective values through f. If these values are collinear, then f(C) is this line; If not, f(C) is a circle, whose equation can be found from those three points.
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  3. #3
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    Thanks Rebesques

    But I'm still confused. Can you expand please?

    Cheers
    Moolimuncha
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