The notes are still being written and edited. They will be made available as they become ready.

It would be most helpful if you would kindly point out any typographical errors or points of confusion. I don't guarantee that I will be able to incorporate all your corrections, comments, and sugestions immediately, but I will compile them for future use.

Full 554 Text (Oct. 2, 2014)

Notes:

• Table of Contents
• Chapter 1.1: Vector Spaces
• Chapter 1.2: Norms
• Chapter 1.3: Norms on Operators
• Chapter 1.4: Finite Dimensional Spectral Theory
• Chapter 1.5: Non-Square Matrices
• Chapter 1.6: The Resolvent
• Chapter 2.1: ODE's, Existence and Uniqueness
• Index
• Appendix on Complex Variables

Mathematics Department

University of Washington