Literaturnachweis - Detailanzeige
| Autor/in | Gordon, Sheldon P. |
|---|---|
| Titel | Approximating Functions with Exponential Functions |
| Quelle | In: PRIMUS, 15 (2005) 4, S.349-362 (14 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 1051-1970 |
| Schlagwörter | Mathematics; Theories; Mathematics Education; Calculus; Equations (Mathematics); Graphs; College Mathematics; Undergraduate Students; Teaching Methods; Mathematics Instruction; Computation; Error Patterns |
| Abstract | The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x" are used as targets to assess how well the various approximations fit a given function. Some of the particularly nice properties of Taylor polynomials are shown not to apply to exponential approximations, a good lesson for students who can thereby gain a deeper appreciation of the power of Taylor approximations. (Contains 11 figures.) (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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