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Poisson’s fundamental theorem of calculus via Taylor’s formula
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avdelningen för Matematik, Data- och Lantmäteriteknik.ORCID-id: 0000-0001-6594-7041
2019 (engelsk)Inngår i: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, E-ISSN 1464-5211Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2019.
Emneord [en]
Reimann sums, Taylor´s formula, the fundamental theorem of calculus
HSV kategori
Forskningsprogram
TEKNIK, Matematik
Identifikatorer
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
Tilgjengelig fra: 2020-01-29 Laget: 2020-01-29 Sist oppdatert: 2020-01-29bibliografisk kontrollert

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