Domain Coloring and the Argument Principle

Autor/in	Farris, Frank A.
Titel	Domain Coloring and the Argument Principle
Quelle	In: PRIMUS, 27 (2017) 8-9, S.827-844 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Farris, Frank A.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2016.1234526
Schlagwörter	Color; Mathematical Concepts; Mathematical Logic; Plane Geometry; Predictor Variables; Scientific Concepts; Scientific Principles; Mathematical Formulas + Suchen Sie Ihr Suchwort? Colour; Farbbezeichnung; Farbe; Mathematical logics; Mathematische Logik; Planimetrie; Prädiktor; Mathematische Formel
Abstract	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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01