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Discovering Binomial Identities with PascGaloisJE.

Authors :
Evans, Tyler J.
Source :
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies. Jul/Aug2008, Vol. 18 Issue 4, p361-369. 9p. 3 Diagrams, 1 Chart.
Publication Year :
2008

Abstract

We describe exercises in which students use PascGaloisJE to formulate conjectures about certain binomial identities which hold when the binomial coefficients are interpreted as elements in the cyclic group [image omitted] of integers modulo a prime integer p. In addition to having an appealing visual component, these exercises are open-ended and expose students to the investigative nature of mathematical discovery. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10511970
Volume :
18
Issue :
4
Database :
Academic Search Index
Journal :
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies
Publication Type :
Academic Journal
Accession number :
33468336
Full Text :
https://doi.org/10.1080/10511970701299492