The Classical Theory.- Lebesgue's Measure.- Lebesgue Integration.- Products of Measures.- Changes of Variable.- Some Basic Inequalities.- A Little Abstract Theory.- Notation.- Solution to Selected Problems.
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"This is a very attractive textbook Unusual in many respects, [it] fully achieves its goal, a one-semester, concise but logically complete treatment of abstract integration. It is remarkable that [the author] has accomplished so much in so short a compass."- Mathematical Reviews (review of the first edition)"A number of valuable applications and a good collection of problems... A very interesting, well-informed book which draws on recent approaches not found in several commonly used texts."- Zentralblatt Math (review of the second edition) "The author succeeded in choosing the right level of generality and showed how a good combination of a measure and integration course and advanced calculus can be done. Strongly recommended to students as well as to teachers."- EMS Newsletter (review of the second edition)."..the author is a distinguished probabilist/analyst who has made seminal contributions to the interface of probability theory with PDEs/harmonic analysis/functional analysis; the
"This book, unusual in many respects, fully achieves its goal, a one-semester, concise but logically complete treatment of abstract integration. There are only 148 pages, making the book psychologically attractive and a price of $18..."
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