Advice needed on learning measure theory.

[funcalys]

Do you think having Bogachev's Measure Theory (vol. I) as a first exposure to measure theory sounds a good idea?
I mean while I can understand well the concepts presented in the book, I find some techniques used in the proof section quite hard to follow.

 

[justinmir]

FYI - http://www.essex.ac.uk/maths/people/fremlin/mt.htm - I have not read it myself and don't know how well it is written.
I read "Measure Theory" by Paul Halmos and found it extremely well written.

 

[homeomorphic]

Try A Radical Approach to Lebesgue's Theory of Integration. It has a very good historical prelude to measure theory, going up to Chapter 7, after which you can read other textbooks and it will be much better motivated.

 

[Jorriss]

Try A Radical Approach to Lebesgue's Theory of Integration. It has a very good historical prelude to measure theory, going up to Chapter 7, after which you can read other textbooks and it will be much better motivated.

That book looks awesome. I think I'm going to get that too.