Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I would like to study measure theory. Any idea on what I should learn before assuming I already know basic linear algebra (matrix) ?

Thx for

share|cite|improve this question
set theory...more set theory – user9352 Sep 16 '11 at 20:31
any good online tuto you can point me to ? – Stephane Kouakou Sep 16 '11 at 20:33
It might be a good idea to know some advanced calculus/basic analysis, just so you have something to "fall back on" (measure on the real line, Lebesgue integration). You should know a bit of basic set theory, and should be comfortable with proofs and mathematical arguments. Measure Theory can be very abstract, or reasonably down-to-earth, so that would also be a factor: the more abstract the viewpoint you follow, the more "mathematical maturity" you will need. – Arturo Magidin Sep 16 '11 at 20:34
If you can obtain a copy of "Measure Theory" by Paul Halmos, he has a "Chapter 0" in which he lists all the pre-requisites – Ishihara Sep 4 '12 at 10:47
up vote 16 down vote accepted

You should be comfortable with real analysis on the level of Rudin's Principles of Mathematical Analysis. Don't skimp on this; it's as much a maturity prerequisite as a prerequisite for actual concepts and techniques.

It might also help to study a little point-set topology, just so you're used to the idea of considering a collection of subsets of a set satisfying certain axioms.

share|cite|improve this answer
+1 I think chapters 1-7 of Rudin's Principles of Mathematical Analysis furnish sufficient preparation for measure theory. However, the notions of "pointwise convergence" and "uniform convergence" in chapter 7 of this publication are essential prerequisites that are often neglected by students intending to study measure theory. – Amitesh Datta Sep 17 '11 at 1:53

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.