Section 2.2 Transformations and Linear Mappings - Maple Application Center
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Application Center Applications Section 2.2 Transformations and Linear Mappings

Section 2.2 Transformations and Linear Mappings

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: Dr. John Mathews
1
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We now take our first look at the geometric interpretation of a complex function. If D is the domain of definition of the real-valued functions u(x, y) and v(x, y) , then the system of equations u = u(x, y) and v = v(x, y) describes a transformation or mapping from D in the xy-plane into the uv-plane. Therefore, the function f(z) = u(x, y)+i*v(x, y) can be considered as a mapping or transformation from the set D in the z-plane onto the range R in the w-plane.

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English
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