

IntroductionComplex numbers, their representation as points in the complex plane, and functions defined on the complex plane are of great importance in many subjects. Basic properties are reviewed. Topics18.1 Notations, Representation of a Complex Number by Magnitude and Angle, Real and Imaginary Parts 18.2 Functions of a Complex Variable 18.3 Functions of z, z = x + iy, have no Curl 18.4 De Moivre's Theorem 18.5 The Logarithm and the Problem of the Multivalued Nature of Angles 