An Introduction to The Gauge Integral
Library Home 
Full Table of Contents 
Suggest a Link 
Library Help
http://www.math.vanderbilt.edu/~schectex/ccc/gauge/  


Eric Schechter  
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]
© 19942014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.