Abstract
Here we explore what advantages hypernumbers and extrafunctions offer for differentiation of real functions. In Sect. 4.1, basic elements of the theory of approximations are presented. We consider approximations of two types: approximations of a point by pairs of points, which are called A-approximations and used for differentiation, and approximations of topological spaces by their subspaces, which are called B-approximations and used for integration.
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© 2012 Mark Burgin
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Burgin, M. (2012). How to Differentiate Any Real Function. In: Hypernumbers and Extrafunctions. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9875-0_4
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DOI: https://doi.org/10.1007/978-1-4419-9875-0_4
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