Advice needed on learning measure theory.

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Discussion Overview

The discussion revolves around recommendations for learning measure theory, particularly focusing on the suitability of various textbooks for beginners in the subject. Participants share their experiences and opinions on different resources.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether Bogachev's Measure Theory (vol. I) is a good first exposure, noting difficulty in following some proof techniques.
  • Another participant mentions a resource link but expresses uncertainty about its quality, while recommending Halmos's "Measure Theory" as well-written.
  • A suggestion is made to read "A Radical Approach to Lebesgue's Theory of Integration," highlighting its historical context and motivation for studying measure theory.
  • A later reply echoes the recommendation for "A Radical Approach to Lebesgue's Theory of Integration," expressing enthusiasm about acquiring the book.

Areas of Agreement / Disagreement

Participants present multiple competing views on the best introductory resources for measure theory, with no consensus on a single recommended text.

Contextual Notes

Some participants express difficulty with specific techniques in proofs, indicating a potential gap in foundational understanding or pedagogical approach in certain texts.

Who May Find This Useful

Readers interested in learning measure theory or seeking recommendations for introductory textbooks in the subject.

funcalys
Messages
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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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