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ERIC Number: EJ882759
Record Type: Journal
Publication Date: 2010
Pages: 11
Abstractor: As Provided
Reference Count: 10
ISSN: ISSN-1051-1970
An Introduction to Differentials Based on Hyperreal Numbers and Infinite Microscopes
Henry, Valerie
PRIMUS, v20 n1 p39-49 2010
In this article, we propose to introduce the differential of a function through a non-classical way, lying on hyperreals and infinite microscopes. This approach is based on the developments of nonstandard analysis, wants to be more intuitive than the classical one and tries to emphasize the functional and geometric aspects of the differential. In the second part of the work, we analyze the results of an experiment made with undergraduate students who had been taught calculus by a non standard way for nearly two years. (Contains 1 table, 2 figures and 1 footnote.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A