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Poisson’s fundamental theorem of calculus via Taylor’s formula
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering.ORCID iD: 0000-0001-6594-7041
2019 (English)In: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, E-ISSN 1464-5211Article in journal (Refereed) Epub ahead of print
Abstract [en]

We use Taylor’s formula with Lagrange remainder to make a modern adaptation of Poisson’s proof of a version of the fundamental theorem of calculus in the case when the integral is defined by Euler sums, that is Riemann sums with left endpoints which are equally spaced. We discuss potential benefits for such an approach in basic calculus courses. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Place, publisher, year, edition, pages
2019.
Keywords [en]
Reimann sums, Taylor´s formula, the fundamental theorem of calculus
National Category
Other Mathematics
Research subject
ENGINEERING, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-14871DOI: 10.1080/0020739X.2019.1682699ISI: 000494895600001Scopus ID: 2-s2.0-85074977999OAI: oai:DiVA.org:hv-14871DiVA, id: diva2:1389169
Available from: 2020-01-29 Created: 2020-01-29 Last updated: 2020-01-29Bibliographically approved

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Nystedt, Patrik

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