We will mainly follow notes that I have written over the years for this course.

Lecture notes are going to be posted here.

You might for the linear algebra part have a look into

• Keith Nicholson: Linear algebra with applications.
• Sheldon Axler: Linear Algebra Done Right.

You might also find the following books useful and/or interesting:

• Friedberg et. al: Linear Algebra, 4th ed, Pearson.
• Heil: Metrics, Norms, Inner Products and Operator Theory, Birkhaeuser.
• Steele: The Cauchy-Schwarz Master Class, Cambridge Univ. Press.
• Strang: Linear algebra and its applications, 4th ed, Brooks/Cole