© 1994

A Concise Introduction to the Theory of Integration


Table of contents

  1. Front Matter
    Pages i-viii
  2. Daniel W. Stroock
    Pages 1-18
  3. Daniel W. Stroock
    Pages 19-33
  4. Daniel W. Stroock
    Pages 34-67
  5. Daniel W. Stroock
    Pages 68-79
  6. Daniel W. Stroock
    Pages 80-113
  7. Daniel W. Stroock
    Pages 114-138
  8. Daniel W. Stroock
    Pages 139-158
  9. Back Matter
    Pages 159-184

About this book


This little book is the outgrowth of a one semester course which I have taught for each of the past four years at M. 1. T. Although this class used to be one of the standard courses taken by essentially every first year gradu­ ate student of mathematics, in recent years (at least in those when I was the instructor), the clientele has shifted from first year graduate students of mathematics to more advanced graduate students in other disciplines. In fact, the majority of my students have been from departments of engi­ neering (especially electrical engineering) and most of the rest have been economists. Whether this state of affairs is a reflection on my teaching, the increased importance of mathematical analysis in other disciplines, the superior undergraduate preparation of students coming to M. 1. T in mathematics, or simply the lack of enthusiasm that these students have for analysis, I have preferred not to examine too closely. On the other hand, the situation did force me to do a certain amount of thinking about what constitutes an appropriate course for a group of non-mathematicians who are courageous (foolish?) enough to sign up for an introduction to in­ tegration theory offered by the department of mathematics. In particular, I had to figure out what to do about that vast body of material which, in standard mathematics offerings, is "assumed to have been covered in your advanced calculus course".


Analysis Integration Theory calculus ksa mathematics

Authors and affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

Bibliographic information

  • Book Title A Concise Introduction to the Theory of Integration
  • Authors Daniel W. Stroock
  • DOI
  • Copyright Information Birkhäuser Boston 1994
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-8176-3759-0
  • Softcover ISBN 978-1-4757-2302-1
  • eBook ISBN 978-1-4757-2300-7
  • Edition Number 2
  • Number of Pages VIII, 184
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site


"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)