Section 2.1 Functions of a Complex Variable - Maple Application Center
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## Section 2.1 Functions of a Complex Variable

Authors
: Dr. John Mathews
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A complex valued function f of the complex variable z is a rule that assigns to each complex number z in a set D one and only one complex number w . We write w = f(z) and call w the image of z under f . The set D is called the domain of f , and the set of all images {w = f(z), z*epsilon*D} is called the range of f . As we saw in section 1.6, the term domain is also used to indicate a connected open set. When speaking about the domain of a function, however, mathematicians mean only the set of points on which the function is defined. This is a distinction worth noting.

#### Application Details

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

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