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I have a problem. How can I convert a left part from picture which is in coordinate system

(r, s)to coordinate system(x, y)and then to coordinate system(ζ, η)(right part). I need Jacobian matrix because of integration some function above this region.

Any helpful links or answers are welcome.

http://img442.imageshack.us/img442/3074/20121122230303.jpg [Broken]

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# How change from one to another coordinate system

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