Matches in SemOpenAlex for { <https://semopenalex.org/work/W4253420569> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4253420569 endingPage "415" @default.
- W4253420569 startingPage "414" @default.
- W4253420569 abstract "THE ancient Greeks determined various areas and volumes by a method known as that of exhaustion; but they had no integral calculus properly so called, any more, than (pace Prof. Burnet) they had a differential calculus, although they were familiar enough with the idea of a locus described by the motion (or flow) of a point. Even Fermat missed the analytical method devised by Barrow, Newton, and Leibniz. This was so rapidly developed as to assume a form which (except in notation) remained practically unaltered for a century and a half. The reason of this quiescence- a sort of dormant vitality was the neglect of function-theory, or, rather, its non-existence. The appearance of Fourier's work on the theory of heat compelled mathematicians to study the properties of trigonometrical series, and the conditions under which they could be used for the representation of so-called arbitrary functions. Dirichlet and Riemann shed a flood of light upon the matter; and Riemann gave a definition of a definite integral which could be applied to functions more general than those that could be integrated according to the older (say Newtonian) definition. In particular, the function to be integrated might have a finite number of isolated discontinuities in the range of integration; isolated, that is, in the sense of being separated by finite intervals. Thus a new type of integrals, the Riemann integrals, had come under observation." @default.
- W4253420569 created "2022-05-12" @default.
- W4253420569 creator A5053925260 @default.
- W4253420569 date "1918-01-01" @default.
- W4253420569 modified "2023-09-26" @default.
- W4253420569 title "The New Integral Calculus" @default.
- W4253420569 doi "https://doi.org/10.1038/100414b0" @default.
- W4253420569 hasPublicationYear "1918" @default.
- W4253420569 type Work @default.
- W4253420569 citedByCount "0" @default.
- W4253420569 crossrefType "journal-article" @default.
- W4253420569 hasAuthorship W4253420569A5053925260 @default.
- W4253420569 hasBestOaLocation W42534205691 @default.
- W4253420569 hasConcept C134306372 @default.
- W4253420569 hasConcept C14158598 @default.
- W4253420569 hasConcept C191832335 @default.
- W4253420569 hasConcept C199343813 @default.
- W4253420569 hasConcept C199479865 @default.
- W4253420569 hasConcept C202444582 @default.
- W4253420569 hasConcept C27016315 @default.
- W4253420569 hasConcept C2777686260 @default.
- W4253420569 hasConcept C33923547 @default.
- W4253420569 hasConcept C41833934 @default.
- W4253420569 hasConcept C71924100 @default.
- W4253420569 hasConcept C97985569 @default.
- W4253420569 hasConceptScore W4253420569C134306372 @default.
- W4253420569 hasConceptScore W4253420569C14158598 @default.
- W4253420569 hasConceptScore W4253420569C191832335 @default.
- W4253420569 hasConceptScore W4253420569C199343813 @default.
- W4253420569 hasConceptScore W4253420569C199479865 @default.
- W4253420569 hasConceptScore W4253420569C202444582 @default.
- W4253420569 hasConceptScore W4253420569C27016315 @default.
- W4253420569 hasConceptScore W4253420569C2777686260 @default.
- W4253420569 hasConceptScore W4253420569C33923547 @default.
- W4253420569 hasConceptScore W4253420569C41833934 @default.
- W4253420569 hasConceptScore W4253420569C71924100 @default.
- W4253420569 hasConceptScore W4253420569C97985569 @default.
- W4253420569 hasIssue "2517" @default.
- W4253420569 hasLocation W42534205691 @default.
- W4253420569 hasOpenAccess W4253420569 @default.
- W4253420569 hasPrimaryLocation W42534205691 @default.
- W4253420569 hasRelatedWork W16753908 @default.
- W4253420569 hasRelatedWork W1970788826 @default.
- W4253420569 hasRelatedWork W2159553138 @default.
- W4253420569 hasRelatedWork W2294317546 @default.
- W4253420569 hasRelatedWork W2324070114 @default.
- W4253420569 hasRelatedWork W2357700148 @default.
- W4253420569 hasRelatedWork W2369900558 @default.
- W4253420569 hasRelatedWork W4248085762 @default.
- W4253420569 hasRelatedWork W4300666405 @default.
- W4253420569 hasRelatedWork W93709235 @default.
- W4253420569 hasVolume "100" @default.
- W4253420569 isParatext "false" @default.
- W4253420569 isRetracted "false" @default.
- W4253420569 workType "article" @default.