Complex Analysis

Catalog description

Functions of complex variables are of surprisingly great importance in numerous branches of pure mathematics. Analysis of such functions is a key tool in the proofs of many theorems concerning seemingly unrelated branches of mathematics, such as the famous Prime Number Theorem regarding the distribution of the prime numbers. Complex Variables also play a crucial role in a number of branches of science, including physics and engineering. This course touches upon the purely mathematical aspects of complex analysis while also applying the concepts to a wide array of real-world problems in the sciences. Prerequisite(s): MS 182 and MS 230 .