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).
Robert G. Bartle, Eastern Michigan University, Ypsilanti, MI, and University of Illinois, Urbana, Illinois, USA
• 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