B. Math Semester 6, 2023-'24

Notes & Problems by B. Sury

Notes

• Index & Taylor Series
• Two consequences of Maximum Modulus Principle
• Automorphisms of the unit disk & Elliptic Functions
• Bloch and Picard Theorems
• Arzela Ascoli and Riemann Mapping Theorem
• Complex logarithm
• Zero set of holomorphic functions on domains
• Global Cauchy Theorem

Problems

• Harmonic Functions
• Cauchy Integral Formula
• MMath Assignment 2
• Miscellaneous Problems
• MMath Assignment 3
• MMath Assignment 4
• Riemann Surfaces