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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$18
Member Price: US$14.40
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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