Sibling Curves 3: Imaginary Siblings and Tracing Complex Roots

Autor/inn/en	Harding, Ansie; Engelbrecht, Johann
Titel	Sibling Curves 3: Imaginary Siblings and Tracing Complex Roots
Quelle	In: International Journal of Mathematical Education in Science and Technology, 40 (2009) 7, S.989-996 (8 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Mathematics Activities; Mathematics Instruction; Equations (Mathematics); Problem Solving; Computation; Algebra; Mathematical Concepts; Calculus + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Problemlösen; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung
Abstract	Visualizing complex roots of a quadratic equation has been a quest since the inception of the Argand plane in the 1800s. Many algebraic and numerical methods exist for calculating complex roots of an equation, but few visual methods exist. Following on from papers by Harding and Engelbrecht (A. Harding and J. Engelbrecht, "Sibling curves and complex roots 1: looking back", Int. J. Math. Educ. Sci. Technol. 38(7) (2007), pp. 963-974; A. Harding and J. Engelbrecht, "Sibling curves and complex roots 2: looking ahead", Int. J. Math. Educ. Sci. Technol. 38(7) (2007), pp. 975-985), where the existence and properties of sibling curves for the well-known functions were described, we introduce imaginary sibling curves. We then focus on the domain curves of siblings and their imaginary counterparts to trace and visualize the complex roots. (Contains 9 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10