Analysis 3: Complex Analysis

Description

This is a course on complex functions. The treatment is rigorous. Starting from complex numbers, we study some of the most celebrated theorems in analysis, for example, Cauchy’s theorem and Cauchy’s integral formulae, the theorem of residues and Laurent’s theorem. The course lends itself to various applications to real analysis, for example, evaluation of definite integrals and finding the number of zeros of a complex polynomial in a region.