Designed for the full-time analyst, physicist, engineer, or economist, this book attempts to provide its readers with most of the measure theory they will ever need. The author has consistently developed the concrete rather than the abstract aspects of topics treated. The major new feature of this third edition is the inclusion of a new chapter in which the author introduces the Fourier transform. Solutions to all problems are provided. As a self-contained text, this book is excellent for both self-study and the classroom.
"synopsis" may belong to another edition of this title.
"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 flavor of all these subjects is brought out in the book, especially in chapters V-VII...[the] book can be highly rewarding, serving as a launching pad for an intensive study of any branch of analysis including probability theory."
--Current Science (review of the third edition)
"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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