Teaching & Materials

Exercise Classes

• Linear Algebra I + II, ETH Zurich (2023/24)
• Linear Algebra I + II, ETH Zurich (2022/23)

I am working on linking materials that I enjoyed when studying the various subjects of mathematics. The quest of linking materials will never be complete as there are too many fragments of mathematics which I will never come across, but once I put something on this site, you should consider it a recommendation.

Linear Algebra

Lecture notes

• Lineare Algebra I & II — Prof. Richard Pink's summary of his course at ETH Zurich (HS 2021 / FS 2022), the one I learned the subject from: complete, precise and remarkably compact; in German.

Books

• K. Jänich, Lineare Algebra — where to start. Short chapters, more motivation than machinery, and test questions at the end of each chapter; in German.
• S. Roman, Advanced Linear Algebra — for a second pass. It begins roughly where a first course ends and treats modules, tensor products and infinite-dimensional spaces.

Further resources

• P. R. Halmos, Linear Algebra Problem Book — the whole theory told as problems with hints and solutions. The fastest way to find out whether you really understood a definition.