Academic Journal

We Can Differentiate Numbers, Too.

Bibliographic Details
Title: We Can Differentiate Numbers, Too.
Authors: Tossavainen, Timo (AUTHOR) timo.tossavainen@ltu.se, Haukkanen, Pentti (AUTHOR) pentti.haukkanen@tuni.fi, Merikoski, Jorma K. (AUTHOR) jorma.merikoski@tuni.fi, Mattila, Mika (AUTHOR) mika.mattila@tuni.fi
Superior Title: College Mathematics Journal. Mar2024, Vol. 55 Issue 2, p100-108. 9p.
Subject Terms: *DISCRETE mathematics, *NUMBER theory, *DIFFERENTIAL equations, *ARITHMETIC, *LOGICAL prediction
Abstract: We survey the history of the arithmetic derivative and more recent advances in research on this topic. Among other things, we discuss a few generalizations of the original arithmetic derivative and some arithmetic differential equations that are related to Goldbach's conjecture and the twin prime conjecture. Our primary purpose is to give an overview of this field, but we also aim at providing for an introductory course on discrete mathematics or number theory. Therefore, our survey contains ten exercises. [ABSTRACT FROM AUTHOR]
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Database: Academic Search Premier
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