<!doctype html public «-//w3c//dtd html 4.0 transitional//en»> http-equiv=content-type> This book is an introduction to the arithmetic of complex numbers, and explains their role in solving equations in both plane and non-Euclidean geometry. Exercises with solutions are included in every chapter and the textbook is rounded out with an appendix on calculating with complex numbers and conformal transformations in MAPLE and Cinderella.