Revised and updated, the new Fifth Edition of Complex Analysis for Mathematics and Engineering presents a comprehensive, student-friendly introduction to Complex Analysis. It's clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible for students and proofs are presented at an elementary level that is understandable by students with a sophomore calculus background. Believing that mathematicians, engineers, and scientists should be exposed to a careful presentation of mathematics, attention to topics such as ensuring required assumptions are met before the use of a theorem or algebraic operations are applied. A new chapter on Z-Transforms and Applications provides students with a current look at Digital Filter Design and Signal Processing.
This book is a more problem oriented approach to complex analysis. It is pretty much just calculus on the complex numbers, and how that is different from and complementary to calculus on the real numbers.
This was the textbook for my first course on complex analysis. It is a good reference material for formulas and theorems. And has some good examples on how to solve problems. It also goes into some depth about applications. Which may be useful, but wasn't used in the class I took.
There were many typos and errors, so if something looks wrong in this book, it should be checked out.