Mathematics Resources

On this page I collect various resources for mathematics produced by me. Some of it are my personal notes on various topics, while others are notes prepared for my teaching.

Personal notes

Personal LaTeX notes from my self-study of various mathematics texts. Organised by subject/author and focused on definitions (with occasional theorems), they're meant as a quick-reference while reading, proving, or working exercises–-reducing page-flipping and searching.

These notes usually aren't tied to any course, don't aim to be comprehensive, and follow my interests; expect gaps and a non-linear progression.

Browse the repository

Currently, there are, at least some notes on the following books/subjects:

• Measure Theory (Donald L.Cohn)

• Complex Analysis (Donald Marshall)

• Inverse Problems (Lecture notes for course given at KTH fall 2025)

• Functional Analysis, Sobolev Spaces, and Partial Differential Equations (Haim Brezis) *

• Advanced Linear Algebra (Steven Roman) **

* Under active development, I have just started.
** Currently not in active development as I have focused on other things instead.

Teaching notes

Here are notes for some of the courses that I've taught. They're all in Swedish, and the lessons take the form of tutorial sessions mainly, as such most of the notes are only exercises and how to solve them. There are some errors in the notes, you are most welcome to point them out, then I can change them if I ever teach the course again.

SF1633 Differential equations I

• Tutorial session 1

• Tutorial session 2

• Tutorial session 3

• Tutorial session 4

• Tutorial session 5

• Tutorial session 6

• Tutorial session 7

• Tutorial session 8

• Tutorial session 9

• Tutorial session 10

SF1632 Complementary Course in Differential Equations and Transforms

• Tutorial session 1

• Tutorial session 2

• Tutorial session 3

My bookcase :)