Complex Variables

by Stephen D. Fisher

The most important topics in the theory and application of complex variables receive a thorough, coherent treatment in this introductory text. Intended for undergraduates or graduate students in science, mathematics, and engineering, this volume features hundreds of solved examples, exercises, and applications designed to foster a complete understanding of complex variables as well as an appreciation of their mathematical beauty and elegance.
Prerequisites are minimal; a three-semester course in calculus will suffice to prepare students for discussions of these the complex plane, basic properties of analytic functions (including a rewritten and reorganized discussion of Cauchy's Theorem), analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Useful appendixes include tables of conformal mappings and Laplace transforms, as well as solutions to odd-numbered exercises.
Students and teachers alike will find this volume, with its well-organized text and clear, concise proofs, an outstanding introduction to the intricacies of complex variables.

Genres: Mathematics, Textbooks, Science, Reference

448 pages, Paperback

First published May 1, 1990

Reviews

[Mike · Rating 1 out of 5]

I most certainly did not like this book. I personally think that Complex Analysis at the undergraduate level is very easy once you understand what to do. But you most certainly can't expect this book to explain anything well enough for you to understand it. I studied chapters 1 to 3.1. Fisher tries to give proofs and examples with as little amount of steps as possible leaving the reader to fill in the rest. The steps he does show are awkward and if you try to solve it yourself you will use a different more simpler approach. Only a small amount of problems can be answered from reading this book alone. I had to use several books and I recommend them in this order. 1. Schaum's Complex Variables, 2. Antimirov's Complex Variables, 3. Gamelin's Complex Analysis and 4. Lang's Complex Analysis. You should use them together not independently. I had a third edition of Churchill's Complex Variables and found it useless as well. Dover books are either very old or poorly written books that no one wants to use. That's why they get the rights to them for next to nothing so they can sell them for under $20. This book was last printed in 1990 before Dover printed a copy in 1999. You figure it out!

[Erik]

CV starts out like a way harsh realm, but once you catch your first tube everything gets, like, totally tubular dude.