Math 420/507: Some References

• G. Folland, Real Analysis: Modern Techniques and their Applications
  -- this is the main text for the course
  
• H. Royden, Real Analysis
  -- another standard text
  
• Lieb and Loss, Analysis
  -- Chapter 1 has a nice overview of measure theory (no proofs), then develops the Lebesgue integral in a slightly different (but of course equivalent) way than Folland or Royden
• Reed and Simon, Methods of Modern Mathematical Physics Vol I: Functional Analysis
  -- has a terse but useful summary of measures and integration at the beginning, then lots of functional analysis