Open AccessRiemann Integral: Significance and Limitations
Author(s) -
Laxman Bahadur Kunwar
Publication year - 2018
Publication title -
academic voices
Language(s) - English
Resource type - Journals
ISSN - 2091-1106
DOI - 10.3126/av.v7i0.21365
Subject(s) - riemann integral , lebesgue integration , daniell integral , riemann–stieltjes integral , mathematics , improper integral , riemann hypothesis , line integral , multiple integral , mathematical analysis , volume integral , calculus (dental) , integral equation , pure mathematics , singular integral , medicine , dentistry
This article basically defines the Riemann integral starting with the definition of partition of a closed interval. It throws a light on the importance and necessity of the Riemann condition of integralbility of a function and explains how the concept of R- integral only on the basis of upper and lower integral is not always practical. It has been suggested that a better rout is to abandon the Reimann integral for Lebesgue integral in real analysis and other fields of mathematical science.