Course literature

• If you cannot come to the first lecture, send me an email to get information about lecture notes for the course.
• Recommended textbook is E. Kreyszig: Introductory Functional Analysis with Applications, Wiley 1989.
  At the university, the textbook can be bought at Bokakademin. It is also sold by various internet book stores and is in the LiU library.
• The part on Integration theory is based on Chapters 10-12 in R. Beals: Analysis , Cambridge University Press, Cambridge, 2004.
  The book is in the LiU library.
• The following texts found online also deal with Integration theory:
  • Weeks 8-10 in a UCLA course
  • Chapter 11 in W. Rudin: Principles of Mathematical analysis.
  • S. Wang: Another Method of Integration (mainly for the Lebesgue measure),
  • Lebesgue integral from "https://blog.sciencenet.cn/blog-313333-741895.html"
  • Lebesgue integral from "http://www2.math.uu.se/~rosko894/teaching/Part_02_Integration_ver_1.0.pdf"
• Bengt-Ove Tureson's older notes on Functional analysis and Lebesgueintegralen.
• An older collection of problems is here.



Sidansvarig: jana.bjorn@liu.se
Senast uppdaterad: 2025-08-28