Invent a transformation that transforms $\displaystyle x^2 + y^2$ < 1 onto the rectangle 0 < u < 2, 0 < v < 1 . Maybe even just a start on it would be helpful.
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Originally Posted by actsci231 Invent a transformation that transforms $\displaystyle x^2 + y^2$ < 1 onto the rectangle 0 < u < 2, 0 < v < 1 . Maybe even just a start on it would be helpful. You can use polar coordinates: $\displaystyle (x,y)\mapsto (r,\theta)$ (radius and angle).
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