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ERIC Number: EJ1163226
Record Type: Journal
Publication Date: 2017
Pages: 18
Abstractor: As Provided
ISSN: ISSN-1051-1970
Domain Coloring and the Argument Principle
Farris, Frank A.
PRIMUS, v27 n8-9 p827-844 2017
The "domain-coloring algorithm" allows us to visualize complex-valued functions on the plane in a single image--an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the Argument Principle, which relates the count of poles and zeros of a meromorphic function inside a contour to the accumulated change in argument of the function around the contour. Throughout, I offer connections to standard learning goals of courses in complex variables.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A