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

Section 2.1 Functions of a Complex Variable

: Dr. John Mathews
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
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



More Like This

Section 1.5 The Algebra of Complex Numbers, Revisited
Section 1.1 The Origin of Complex Numbers
Section 2.3 The Mappings w = z^n and w = z^`1/n`
Section 1.3 The Geometry of Complex Numbers
Section 2.4 Limits and Continuity
Section 1.4 The Geometry of Complex Numbers, Continued
Section 2.2 Transformations and Linear Mappings
Section 1.2 The Algebra of Complex Numbers
Section 2.6 The Reciprocal Transformation w = 1/z
Section 1.6 The Topology of Complex Numbers
Section 2.5 Branches of Functions
Section 3.1 Differentiable Functions