Murray, Christopher B.2022-06-222022-06-22196813683857https://hdl.handle.net/10657/9749In the following, we shall develop enough of the theory of Lebesgue-Stieltjes integration to define the measure of a number set with respect to a non-decreasing function. Our development partially parallels that of F. Riesz's development of the Lebesgue integral.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital