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Complex Mapping And Transformation of Z-plane Onto W-plane I
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A complex function W=f(Z) is hard to graph because it takes 4 dimensions: 2 for Z and 2 for W. So, to visualize them we will think of complex functions as mappings.
That is we will think of W=f(Z) as taking a point in the complex Z-plane and mapping (sending) it to a point in the complex W-plane.
We will use the following terms and symbols to discuss mappings.
A function W=f(Z) will also be called a mapping of Z to W or the transformation equation.
That is we will think of W=f(Z) as taking a point in the complex Z-plane and mapping (sending) it to a point in the complex W-plane.
We will use the following terms and symbols to discuss mappings.
A function W=f(Z) will also be called a mapping of Z to W or the transformation equation.
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