This unit provides an introduction to the theory of functions of a complex variable, the geometry of complex numbers and conformal transformations. Applications include a discussion on fractals. The theory of functions of a complex variable is one of the most beautiful parts of mathematics which provides the foundations of very powerful techniques widely used in almost all areas of mathematics and physics and also in other science disciplines, engineering and technology. Topics include complex numbers and transformations in the complex plane; complex functions; analyticity; Cauchy's theorem; Cauchy's formula; method of residues; series expansion; conformal mappings; and dynamics of... -- Course Website
Instructor: Professor Gordon Royle
Prerequisites: MATH2209 Calculus and Probability or MATH2040 Engineering Mathematics
