This thesis provides a development of integration from two different points of view. In Chapter I, a measure and a measurable function are defined. A theory of integration is then developed in Chapter II based on the measure. In Chapter III, the integral is introduced directly without first going through the process of defining a measure, and a measure is developed from the integral. The concluding chapter shows the equivalence of the two integrals under rather general conditions.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc130681 |
| Date | 06 1900 |
| Creators | Chapman, John Barnes |
| Contributors | Cecil, David R., Bilyeu, Russell Gene |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 64 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Chapman, John Barnes |
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