An Illustration of the Argument Principle
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In the complex plane, consider the image of the contour 
under the map 
. The argument principle states that the number of roots of 
enclosed by 
is equal to the winding number of the origin in the image. As you vary 
you can see how this winding number changes.
Contributed by: Keith Schneider (March 2011)
Open content licensed under CC BY-NC-SA
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"An Illustration of the Argument Principle"
http://demonstrations.wolfram.com/AnIllustrationOfTheArgumentPrinciple/
Wolfram Demonstrations Project
Published: March 7 2011
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