Exposition on a fundamental theorem of calculus that applies to a class of Riemann integrable functions

Date of Publication

1998

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This study provides an extensive exposition on a fundamental theorem of calculus that applies to a class of Riemann integrable functions. The thesis includes elementary calculus, mainly integral calculus. The main results in this thesis are contained in the article by Michael W. Botsko entitled "A Fundamental Theorem of Calculus that Applies to All Riemann Integrable Functions". The researchers provided a summary of the preliminary concepts in calculus that are necessary to understand the concepts discussed in the article. The proofs of the major results were expanded to facilitate comprehension. Some examples were also given to illustrate and clarify the concepts that were presented.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08768

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

46 leaves

Keywords

Calculus; Functions; Geometry, Infinitesimal; Riemann surfaces

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