Accession Number : AD0743316

Title :   A Comparison of the Riemann and Lebesgue Integration Theories.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Clark,Charles Terrance

Report Date : MAR 1972

Pagination or Media Count : 101

Abstract : The treatment of Riemann integration presently found in the literature does not adequately describe the class of functions to which the concept of Riemann integration can be applied. Also, no adequate comparison of Riemann and Lebesgue integration theories exists in the literature. The second chapter in this thesis provides criteria for determining whether the Riemann integral of a function over an interval assumes a finite value. The third chapter reviews important facts concerning the class of Lebesgue integrable functions. In the final chapter Riemann and Lebesgue integration are compared. (Author)

Descriptors :   (*NUMERICAL INTEGRATION, THEORY), MEASURE THEORY, SET THEORY, FUNCTIONS(MATHEMATICS), THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE