Literaturnachweis - Detailanzeige
Autor/in | Jones, Timothy W. |
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Titel | Euler's Identity, Leibniz Tables, and the Irrationality of Pi |
Quelle | In: College Mathematics Journal, 43 (2012) 5, S.361-364 (4 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0746-8342 |
DOI | 10.4169/college.math.j.43.5.361 |
Schlagwörter | Mathematics Instruction; College Mathematics; Validity; Mathematical Logic; Equations (Mathematics); Mathematical Concepts; Mathematical Formulas |
Abstract | Using techniques that show that e and pi are transcendental, we give a short, elementary proof that pi is irrational based on Euler's identity. The proof involves evaluations of a polynomial using repeated applications of Leibniz formula as organized in a Leibniz table. (As Provided). |
Anmerkungen | 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 |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |