Complex variables are arbitrary complex numbers, and you need to know how they work if you want to learn an important area of mathematics. David C. Kay, a longtime college professor who has written several books geared for college students, explains what complex variables are and how to use them in this textbook written for those with a working knowledge of algebra and calculus. You'll review basic concepts from calculus and gradually discover more sophisticated ideas, such as differentiation and integration in complex variables, which are clearly explained with numerical examples. Other topics include infinite series of complex variables, uniform convergence, the Taylor and Laurent series, and methods for evaluating difficult integrals. Charts, tables, and drawings throughout the book make even tough concepts easy to understand, and problems have been carefully crafted to cover the main concepts while maintaining your interest. Whether you're an educator seeking to provide an additional resource for your students or a student seeking a self-help guide to understand complex variables, this basic course is a refreshing treatment that can be a stand-alone tutorial or companion guide to another textbook.