Hidden lemmas in a early history of infinite series
type: Item
instance of: scholarly article
title: Hidden lemmas in a early history of infinite series
zbMATH Open document ID: 0631.01014
DOI: 10.1007/BF01830676
author: Detlef Laugwitz
published in: Aequationes Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137244
review text: Euler, Fourier, Poisson and Cauchy appear to have used, in a more implicit form, some facts on infinitely small quantities. The paper attempts to state and prove several lemmata and discusses their relationship to interchanges of limits in series and integrals. Early methods of summation for divergent series and integrals, including a conjecture of Poisson, are discussed.
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 26-03
zbMATH DE Number: 4025372
zbMATH Keywords: Euler
zbMATH Keywords: Fourier
zbMATH Keywords: Poisson
zbMATH Keywords: Cauchy
zbMATH Keywords: interchanges of limits
zbMATH Keywords: divergent series
reviewed by: Rainer Beedgen
MaRDI profile type: Publication
Wikidata QID: Q125029001
cites work: Q3274140
cites work: Q5617618
cites work: Q5788558
OpenAlex ID: W2064759532
description: scientific article; zbMATH DE number 4025372