Publication Date

Spring 4-29-2026

School

College of Arts and Sciences

Major

Mathematics

Keywords

Lebesgue, Integral, Riemann, Analysis, Measure, Functions

Disciplines

Analysis

Abstract

The depth and richness of integration theory far surpasses the introductory material presented in an elementary calculus classroom. The work of Bernhard Riemann and Henri Lebesgue demonstrates just a small sample of the richness of the field of analysis. In formulating and contrasting the Riemann and Lebesgue integrals, students can gain an enriched and well-rounded introduction to integration theory. This not only deepens understanding and love for previously learned material, but also enables further study within the fields of analysis and measure theory. An introductory primer to integration theory equips students with the tools needed to continue their exploration of the beauties God has instilled within mathematics.

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Included in

Analysis Commons

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