Literaturnachweis - Detailanzeige
| Autor/inn/en | Yang, Yajun; Gordon, Sheldon P. |
|---|---|
| Titel | Finding the Best Quadratic Approximation of a Function |
| Quelle | In: International Journal of Mathematical Education in Science and Technology, 42 (2011) 6, S.812-823 (12 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0020-739X |
| DOI | 10.1080/0020739X.2011.562319 |
| Schlagwörter | Intervals; Concept Formation; Mathematics Instruction; Mathematical Concepts; Teaching Methods; Error Patterns; Mathematical Formulas; Calculus; College Mathematics |
| Abstract | This article examines the question of finding the best quadratic function to approximate a given function on an interval. The prototypical function considered is f(x) = e[superscript x]. Two approaches are considered, one based on Taylor polynomial approximations at various points in the interval under consideration, the other based on the fact that three non-collinear points determine a unique quadratic function. Three different techniques for measuring the error in the approximations are considered. (Contains 8 figures and 5 tables.) (As Provided). |
| Anmerkungen | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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