Other books for Math 525a

• The text for the course is Introduction to Real Analysis by William F. Trench (2013). It can be downloaded for free here.
  
  
• Principles of Mathematical Analysis by Walter Rudin. More advanced and possibly harder to read (it is terse) than the text. Covers more advanced topics than the text.
  
  
• Real analysis and foundations by Steven Krantz. Similar to Rudin in topics, but considered to be more accessible.
  
  
• Understanding analysis by Stephen Abbott. Available as an ebook from UA library. This only covers the material for 525a, not 525b.