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 ...
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 ...
A POWER series of the form?an(z - z0)n which converges at more than one point, converges inside a circle centre z0 and coincides with the series obtained by applying Taylor's theorem to the ...