Ebook: Applied Complex Variables

An Introductory textbook on Complex Analysis.
The book has been divided into two parts. The first part deals with the fundamentals of analytic function theory and should be studied sequentially before going on to the second part which deals with the applications of analytic function theory. The second part introduces five of the major applications, more or less independently of one another. In other words, once the first half of the book is mastered, one can pick any one of the five applications to study in detail. This makes it possible for the book to be used for a one-semester course, where one or more applications can be introduced, depending on the time available, or for a two-semester course, in which virtually all the applications are studied.
Although a fairly brisk pace is maintained throughout, I have assumed no advanced calculus background. A well-motivated student with a modern calculus course behind him should be able to study this material with profit. This should make it possible to use the book for a junior- or senior-level advanced engineering mathematics course or for an undergraduate
introduction to complex variables for mathematics majors.