Assorted notes on complex function theory

Notes created for a course on Differential equations and complex function theory. I wrote these up as separate notes for the fall term of 2006; for the fall term of 2007, I have collected the notes into one document.

The main book for the course is Asmar's Applied Complex Analysis with Partial Differential Equations. These notes serve as a supplement.

Version history

• The current version is dated 2007-09-20. There are various minor edits, none too serious – with one exception: On the middle of page 15 (A5 version) I had used the index j with different meanings in the same formula. The result is nonsense of course. To update your copy, you could print just page 8 (or 7–8 if you print double sided) of the A4 version.
• Version dated 2007-09-12: The only difference from version 2007-09-11 is a much improved proof of the generalized Cauchy formula. Only pages 27–28 in the A5 version are changed. In the A4 version, that is page 14. (Print pages 13–14 to update a twosided A4 copy.)

To view or download

Best for on-screen viewing: A5 size (PDF).

Best for printing: A4 size (PDF).
(If you need to print on US letter paper, be sure to ask your printer driver to reduce the size to fit the paper.)

Please respect the copyright

The notes may be freely copied for personal or classroom use; contact me if you wish to copy them for any other reason.