Functions of One and More Complex Variables

Abstract

A complex number z x + iy is often represented by a point with coordinates x y in the so-called complex (or Gaussian) plane (see § 1.6). We usually speak of the point z instead of the number z. If we speak of a region G of complex numbers, we mean the corresponding region of points (x y) in the plane. A similar meaning is to be given to the statement “the point z lies on the curve c”, etc.