Curriculum

In this course we will follow the book Spaces - An Introduction to Real Analysis by Tom L. Lindstr?m, ISBN 978-1-4704-4062-6. (There is only one edition of the book, so feel free to buy a used copy.) Chapter 10 is available online.

Here is an errata to the current printing. Please feel free to inform us if you find further errors.

Final curriculum

  • Chapters 1, 2
  • Chapter 3: Sections 1–6
  • Chapter 4: Sections 1–10
  • Chapter 5: Sections 1–5. For background material, see my notes on the \(\ell^p\) spaces.
  • Chapter 6: Sections 1–3, 6–8.
  • Chapter 10: Sections 1–4.
  • This note on multiindices and the multivariate Taylor theorem.
  • For Norwegian speaking students: This list of Norwegian translations of mathematical terms.

Background material

Many of the concepts in this course draw from finite-dimensional linear algebra (i.e., MAT1120). David Lay's Linear Algebra and Its Applications can be consulted if you need to revise this material. A more rigorous alternative to Lay is Friedberg, Insel, Spence: Linear Algebra.

Published Feb. 15, 2021 3:36 PM - Last modified May 7, 2021 12:52 PM