An Introduction to The Gauge Integral
Library Home || Full Table of Contents || Suggest a Link || Library Help
|An introduction to the gauge integral (also known as the Henstock, Kurzweil, or generalized Riemann integral), comparing it with the Riemann and Lebesgue integrals. Historical and Bibliographical Overview; The Definition; Simplicity and Concreteness of the Definitions; A Simple Example; Generality: Existence of Integrals; Fundamental Theorems; Improper Integrals; Convergence Theorems; The role of the gauge integral in teaching analysis; Some remarks on the lack of pathological examples; Some Open Research Problems.|
|Math Topics:||Calculus (Single Variable), Calculus (Multivariable)|
© 1994- Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.