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A computer verification of a pretty mathematical result

Published online by Cambridge University Press:  01 August 2016

Bill Leonard  and
Harris S. Shultz
Bill Leonard
Affiliation:
Department of Mathematics, California State University, Fullerton, California 92634, U.S.A.
Harris S. Shultz
Affiliation:
Department of Mathematics, California State University, Fullerton, California 92634, U.S.A.
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Extract

A very appropriate use of a computer in a mathematics class is to provide investigation vehicles for formulating conjectures to be verified theoretically. In other words, first we notice something and then we try to prove it. In this paper we shall reverse the process, first arguing the plausibility of a very fascinating result and then obtaining confirmation by looking at some computer generated data. The argument is based on the work of the eighteenth century mathematical giant, Leonhard Euler (1707-1783).

Type
Research Article
Information
The Mathematical Gazette , Volume 72 , Issue 459 , March 1988 , pp. 7 - 10
Copyright
Copyright © Mathematical Association 1988

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