Advice needed on learning measure theory.

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The discussion centers on the suitability of Bogachev's Measure Theory (vol. I) as an introductory text for measure theory. While some participants acknowledge understanding the concepts, they express difficulty with the proof techniques presented in the book. A recommendation is made for Paul Halmos's "Measure Theory," praised for its clarity and writing quality. Additionally, "A Radical Approach to Lebesgue's Theory of Integration" is suggested for its historical context and motivation, particularly beneficial before tackling other textbooks. Overall, while Bogachev's text is recognized, alternative resources are highlighted for a more accessible introduction to the subject.
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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. :confused:
 
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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.
 
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.
 
homeomorphic said:
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.
 

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