Course material

Here is a detailed description of the pensum.

Lecture notes

The course is based on lecture notes and not on any textbook: Final version uploaded 11.12.2017.

Based on the diverse student body taking this course it is a difficult task to recommend books for the material. Below are some suggestions but I encourage you to visit the library and browse through the available literature and look if there are sources on the web that you find helpful.

Set theory and functions

Peter J. Cameron. Sets, Logic and Categories. Springer.

Paul R. Halmos. Naive set theory. Springer.

Inequalities

J. Michael Steele. The Cauchy-Schwarz master class. Cambridge.

Linear algebra

Peter Lax. Linear Algebra and its Applications. Wiley.

Lorenzo Sadun. Applied Linear Algebra: The Decoupling Principle. Second Edition, AMS.

Helene Shapiro. Linear Algebra and Matrices. American Mathematical Society.

Normed vector spaces

Peter Lax. Linear Algebra and its Applications. Wiley.

Arch W. Naylor, George R. Sell. Linear Operator Theory in Engineering and Science. Springer.

Lorenzo Sadun. Applied Linear Algebra: The Decoupling Principle. Second Edition, AMS.

2017-12-19, Eirik Skrettingland