A Variational Definition for Limit and Derivative
American Journal of Applied Mathematics
Volume 4, Issue 3, June 2016, Pages: 137-141
Received: May 18, 2016; Published: May 22, 2016
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Authors
Munhoz Antonio Sergio, Center of Mathematics, Computation and Cognition, Federal University of ABC, Santo André, Brasil
Souza Filho, School of Arts, Sciences and Humanity, University of São Paulo, São Paulo, Brasil
Antonio Calixto, Center of Mathematics, Computation and Cognition, Federal University of ABC, Santo André, Brasil; School of Arts, Sciences and Humanity, University of São Paulo, São Paulo, Brasil
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Abstract
Using the topological notion of compacity, we present a variational definition for the concepts of limit and derivative of a function. The main result of these new definition is that they produce implementable tests to check whether a value is the limit or the derivative of a differenciable function.
Keywords
Variational, Limit, Derivative, Differenciation
To cite this article
Munhoz Antonio Sergio, Souza Filho, Antonio Calixto, A Variational Definition for Limit and Derivative, American Journal of Applied Mathematics. Vol. 4, No. 3, 2016, pp. 137-141. doi: 10.11648/j.ajam.20160403.14
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