This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Analytic number theory employs techniques from complex analysis to probe the distribution of prime numbers and related arithmetic sequences. Central to this discipline is the study of zeta and ...

Function spaces provide a rigorous environment for studying functions according to their magnitude and smoothness. Classical examples include Lebesgue Lp spaces and Sobolev spaces, which balance ...