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Basic measure theory for physics students

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  • Thread starter lizzie96'
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  • #1
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Main Question or Discussion Point

I'm trying to read Brian Hall's book "Quantum Theory for Mathematicians". While (I think) I have a basic grasp of most of the prerequisites, I don't know any measure theory. According to the appendix, presumed knowledge includes "the basic notions of measure
theory, including the concepts of σ-algebras, measures, measurable functions, and the Lebesgue integral". Could anyone recommend a short book/ online notes that give me just enough knowledge of measure theory for QM?
 

Answers and Replies

  • #3
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This book has a brief chapter on measure theory.
 
  • #4
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A quite short and good book is Bartle: https://www.amazon.com/dp/0471042226/?tag=pfamazon01-20 You only need to read the first 6 chapters, the other chapters are nice, but not as important for your goal.

A very nice and more geometrical book is Jones, but this is longer than Bartle, so it would take more time: https://www.amazon.com/dp/0763717088/?tag=pfamazon01-20

If you're into functional analysis (like your post suggests), you could try the book by Conway: The first four chapters are enough, and it will additionally do some things with Hilbert spaces (using measure theory): https://www.amazon.com/dp/0821890832/?tag=pfamazon01-20
 
  • #5
verty
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Are you actually running into problems? You may find that it's not such a big deal.
 

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