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An Introduction to The Gauge Integral

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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)

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