Lecture notes
- Harmonic functions
Updates:
- 09/27: Margins reduced.
- 09/26: Removed all mentions of the word "domain". Remark 5 added.
- Power series, analyticity and elementary functions
Updates:
- 09/27: Margins reduced. Corollaries 26 and 27 added.
- 09/26: Removed all mentions of the word "domain".
- Foundations of Cauchy's function theory
Updates:
- 10/25: Typos fixed in Definition 26.
- 10/20: Minor modification to Theorem 10.
- 10/20: Minor update to discussions concerning the homology group.
- 10/18: Some polishing.
- Isolated singularities and the residue theorem
Updates:
- 11/03: A paragraph added on page 10.
- 11/02: Minor correction in the proof of Theorem 12.
- The Riemann mapping theorem
Updates:
- 12/03: Blaschke factors are mentioned in Section 4.
- 12/01: Typos fixed.
- Picard's theorems
Updates:
- 12/07: Added Example 5. Moved Vitali's theorem to Section 2.