The Book
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).
The Author(s)
Robert G. Bartle, Eastern Michigan University, Ypsilanti, MI, and University of Illinois, Urbana, Illinois, USA
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