Complex Variables and Analytic Functions: An Illustrated Introduction

Complex Variables and Analytic Functions: An Illustrated Introduction is an introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. The book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis, as well as covers several important topics, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. The book is primarily written for undergraduate students entering into the world of complex variables and analytic functions and presents current advances in research, highlighting the subject’s active and fascinating frontier. The book is also geared towards graduate students taking a second semester course on complex variables and analytic functions, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.

MATLAB is used to develop the figures used in the book, and the corresponding code is provided.