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How to Differentiate Any Real Function

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Hypernumbers and Extrafunctions

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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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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Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90095, USA

    Mark Burgin

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  1. Mark Burgin
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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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