Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

An Introduction to The Gauge Integral

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://www.math.vanderbilt.edu/~schectex/ccc/gauge/
Author:Eric Schechter
Description: 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.
Levels: College
Languages: English
Math Topics: Calculus (Single Variable), Calculus (Multivariable)

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2013 Drexel University. All rights reserved.
http://mathforum.org/
 The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.