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ERIC Number: EJ900044
Record Type: Journal
Publication Date: 2007-May
Pages: 13
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0746-8342
Newton's Method and the Wada Property: A Graphical Approach
Frame, Michael; Neger, Nial
College Mathematics Journal, v38 n3 p192-204 May 2007
Imagine trying to paint a picture with three colors--say red, blue, and yellow--with a blue region between any red and yellow regions, a red region between any blue and yellow regions, and a yellow region between any red and blue regions, down to infinitely fine details. Regions arranged in this way satisfy what is called the Wada property. At first thought, it may not be so clear that any regions at all satisfy the Wada property. Borrowing a simple geometrical construction from a first course on dynamical systems, we show that the Wada property arises naturally in Newton's method as introduced in first-semester calculus.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A