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ERIC Number: EJ857930
Record Type: Journal
Publication Date: 2009-Oct
Pages: 8
Abstractor: As Provided
Reference Count: 9
ISBN: N/A
ISSN: ISSN-0020-739X
Sibling Curves 3: Imaginary Siblings and Tracing Complex Roots
Harding, Ansie; Engelbrecht, Johann
International Journal of Mathematical Education in Science and Technology, v40 n7 p989-996 Oct 2009
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.)
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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