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Interchange of limit operations and partitions of unity
Author
Lee, Sharon Foong Yee
Supervisor
Lee, Peng Yee
Abstract
This academic exercise attempts to express Riemann integration in terms of the generalized limit so that limit operations involving Riemann integration can be interchanged easily with the help of the limit theorem. Through the limit theorem we are also able to obtain the uniform convergence theorem and the equi-Riemann integrability theorem. In addition, this academic exercise looks into partition of unity (F'U) and how it can be used to define Riemann integration. An equivalence between Riemann integration and PU integration will also established.
Date Issued
1998
Call Number
QA311 Lee
Date Submitted
1998