Complex variables and analytic functions : an illustrated introduction Complex numbers Functions of a complex variable Analytic continuation Introduction to complex integration Residue calculus Gamma zeta and related functions Elliptic functions Conformal mappings Transforms Wiener Hopf and Riemann Hilbert methods Special functions defined by ODEs Steepest descent for approximating integrals. This book is the first primary introductory textbook on complex variables and analytic functions to use predominantly functional illustrations