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International Journal of Mathematical Education in Science and Technology Volume 38, 2007 - Issue 2
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Original Articles

Differentiability in several variables revisited

K. Spindler Fachbereich 02/AB, Fachhochschule Wiesbaden, Kurt-Schumacher-Ring 18, D-65197 Wiesbaden, GermanyCorrespondence[email protected]
Pages 237-245 | Received 05 Jan 2006, Published online: 03 Jul 2007
 
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Abstract

This paper introduces a concept of differentiability for functions in several variables which has a very natural definition and shares all the properties one expects of a notion of differentiability, but is shown to be weaker than the usual concept of differentiability defined as local linearizability. The exact connection between the two different concepts is exhibited.

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