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Solutions Manual to A Modern Theory of Integration

Robert G. Bartle, Eastern Michigan University, Ypsilanti, MI, and University of Illinois, Urbana, IL

Graduate Studies in Mathematics
2001; 72 pp; softcover
Volume: 32
ISBN-10: 0-8218-2821-5
ISBN-13: 978-0-8218-2821-2
List Price: US$17
Member Price: US$13.60
Order Code: GSM/32.M

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A Modern Theory of Integration - Robert G Bartle

This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration (AMS Graduate Studies in Mathematics series, Volume 32).

Table of Contents

Gauges and integrals
Some examples
Basic properties of the integral
The fundamental theorems of calculus
The Saks-Henstock lemma
Measurable functions
Absolute integrability
Convergence theorems
Integrability and mean convergence
Measure, measurability and multipliers
Modes of convergence
Applications to calculus
Substitution theorems
Absolute continuity
Infinite integrals
Measurable sets
Measurable functions
Sequences of functions


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