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Double Calculus
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering.ORCID iD: 0000-0001-6594-7041
2023 (English)In: Surveys in Mathematics and its Applications, ISSN 1843-7265, E-ISSN 1842-6298, Vol. 18, p. 27-48Article in journal (Refereed) Published
Abstract [en]

We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by Bögel [1, 2], already from the 1930s, on an alternative higher dimensional calculus of real functions, a double calculus, which includes many two-variable extensions of classical results from single variable calculus, such as Rolle’s theorem, Lagrange’s mean value theorem, Cauchy’s mean value theorem, Fermat’s extremum theorem, the first derivative test, and the first and second fundamental theorems of calculus. 

Place, publisher, year, edition, pages
2023. Vol. 18, p. 27-48
Keywords [en]
continuous function; differentiable function; Riemann integral; the fundamental theorem of calculus
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hv:diva-20894Scopus ID: 2-s2.0-85173464276OAI: oai:DiVA.org:hv-20894DiVA, id: diva2:1822842
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CC BY 4.0

Available from: 2023-12-28 Created: 2023-12-28 Last updated: 2023-12-28

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Lundström, Patrik

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CiteExportLink to record
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  • apa
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