- Series: Dover Books on Mathematics
- Paperback: 448 pages
- Publisher: Dover Publications; 2 edition (February 16, 1999)
- Language: English
- ISBN-10: 0486406792
- ISBN-13: 978-0486406794
- Product Dimensions: 6.5 x 1 x 9.2 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 21 customer reviews
- Amazon Best Sellers Rank: #173,733 in Books (See Top 100 in Books)
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Complex Variables: Second Edition (Dover Books on Mathematics) 2nd Edition
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From the Back Cover
Prerequisites are minimal; a three-semester course in calculus will suffice to prepare students for discussions of these topics: 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.
Unabridged Dover (1999) republication of the work published by Wadsworth & Brooks, Pacific Grove, California, 1990.
Top customer reviews
However, if you're buying this book for a class, the price is unbeatable.
Reading the other reviews here, I have to say I'm surprised at the positivity. It may be that my difficulties were less the fault of the book and more the fault of me and/or the material and/or the course I was taking. But hey, I'll still chip in a data point on the negative side of the ledger. It can't hurt.
I gave this 3 stars because it does what it needs to with definitions and statements of propositions and theorems that are vital to any complex analysis class, but it barely does that. If you buy this book I'd strongly recommend the Schaum's outline.
For a first course on the subject, however, the textbook is woefully inadequate, focusing needlessly on intensive (and poorly-explicated) derivations of concepts like Cauchy's Theorem, while simultaneously failing to adequately explain or characterize integral transforms, arguably a more important subject for most users of this book. Problems are tricky and generally uninstructive.
The problem with the book is that it offers very little in the way of explanation or motivation for any of the concepts it introduces. It mostly follows the format of: 1) definition, 2) motivation-less symbol pushing proof, 3) several computational examples. Not enlightening. If you're interested in the applications, this book will motivate none of the concepts, so you'll wonder why complex analysis matters at all. For example, there is a section about the Fourier transform - an extremely useful concept; however what the Fourier transform can be used for is relegated to a scanty paragraph at the very beginning of the chapter, and it even fails to mention how it can be used to decompose signals into its component frequencies!! If you're interested in the mathematics behind it, you'll probably be frustrated for the same reason - no motivation anywhere in the book.
Its worth mentioning that almost everyone in my class did not like this book, even the instructor thought it was a terrible book! I think the positive reviews here may be from professors how already know the meaning behind the material, so the fact that this is just a reference book that does not really explain the significance of anything is lost on them.