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Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics (3rd Edition) 3rd Edition

4.2 out of 5 stars 26 customer reviews
ISBN-13: 978-0139078743
ISBN-10: 0139078746
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Editorial Reviews

From the Publisher

This book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and up-dated presentation that reflects contemporary theories and their applications to current engineering problems. --This text refers to an alternate Hardcover edition.

From the Back Cover

This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems and is designed to make the fundamentals of the subject more easily accessible to readers who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout, so that the mathematical methodology appears less sterile to engineers. It makes frequent use of analogies from elementary calculus or algebra to introduce complex concepts, includes fully worked examples, and provides a dual heuristic/analytic discussion of all topics. A downloadable MATLAB toolbox--a state-of-the-art computer aid--is available. Complex Numbers. Analytic Functions. Elementary Functions. Complex Integration. Series Representations for Analytic Functions. Residue Theory. Conformal Mapping. The Transforms of Applied Mathematics. MATLAB ToolBox for Visualization of Conformal Maps. Numerical Construction of Conformal Maps. Table of Conformal Mappings. Features coverage of Julia Sets; modern exposition of the use of complex numbers in linear analysis (e.g., AC circuits, kinematics, signal processing); applications of complex algebra in celestial mechanics and gear kinematics; and an introduction to Cauchy integrals and the Sokhotskyi-Plemeij formulas. For mathematicians and engineers interested in Complex Analysis and Mathematical Physics.
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Product Details

  • Hardcover: 563 pages
  • Publisher: Pearson; 3 edition (January 10, 2003)
  • Language: English
  • ISBN-10: 0139078746
  • ISBN-13: 978-0139078743
  • Product Dimensions: 7.4 x 1.4 x 9.3 inches
  • Shipping Weight: 2.5 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (26 customer reviews)
  • Amazon Best Sellers Rank: #210,924 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

Format: Hardcover
This was the book that I learned Complex Analysis from. Definitely made the subject accessible to pretty much any reader. Plenty of exercises: some more theoretical, some more applied. It skillfully straddles the gap between being a theoretical math book and a math book for people with more applied aims (such as engineers). Most topics are covered thoroughly, though certain more complicated subjects such as winding number are left out for simplicity.
This book definitely prepared me for tackling the dense, theoretical, and exceptional "Complex Analysis" by Ahlfors. I'd recommend it as an introductory book for anyone trying to get into the subject who is intimidated by Ahlfors, as well as for anyone who is only interested in the essential commonly-applied tools.
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Format: Hardcover
First let me say that this book was an introduction to the subject for me. After reading the first six chapters, and working through most of the problems, I have to say this book is great. I highly recommend this to anyone who is learning on there own. In particular, the chapter on residues is excellent. The chapter on series is also good, although I would have liked more worked examples for proofs involving uniform convergence. Also, a little more emphasis on the Arguement would have been nice. Nevertheless, 5/5 for this one, it is extremely well written and the authors really provide motivation for the theorems to come. This is definitely one of the best math books I have read. Great buy, worth every penny.
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Format: Hardcover
Complex Analysis is always there in every applied math document of engineering context. The reason I bought the particular book was that I stumbled on some old forgotten Conformal Mapping techniques in Digital Filter Design and needed some good reference to go through...I ended up reading the whole book from first to last page as it managed to capture my interest and distract me from my original purpose for a couple of happy months. So if you are planning to stick to the foundations beyond your studies and course exams, then THIS BOOK IS FOR LIFE...the subject is very extensive and tricky but the book manages to present completely all the necessary elements in the right pace and volume that keeps the application-oriented reader's attention focused while keeping at the same time -in my opinion- the right level of mathematical strictness. All the most essential theorems and formulas are nicely placed intro frames so underlining is not that necessary. Last but not least there is a wealth of examples and illustrations that make it a very friendly tool for anyone about to take course exams or some old engineering graduate seeking a quick reference like myself.
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Format: Hardcover
I have just finished a class using this book, and on the whole its done a good job. I didn't find it in any way super special or anything, but I could read it and understand it. As far as math books go that is pretty good. Lots of exercises with answers in the back, which is what you need. Usually there are worked out examples of the most standard problems, but not always, e.g. there is no example of residue calculus with a Log function.
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Format: Hardcover
This book was not exactly introductory level but if you have some familiarity with concepts, it will serve as a good reference book. Very concise but contains many good examples.

I used this book in conjunction with "A First Course in Complex Analysis"
by Dennis Zill for a graduate level course, which is more of an introductory text than this book.

I recommend using both for your first course.

Another reference: Search for "Complex Analysis Modules by Mathews") on google. This served as a great online reference and has a corresponding book: COMPLEX ANALYSIS: for Mathematics and Engineering, Fifth Edition, 2006 by John H. Mathews and Russell W. Howell. Although I did not read this book, the author has put up wonderful online notes from this book, which I did use.
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Format: Hardcover
There are many books on complex variables, but this surely rates well as an introduction. It is great for self study. It bridges the gap nicely from calculus. The problems at the end of the sections are of a rich and varied type and do enhance your learning experience. This book deserves a second look.
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Format: Hardcover
Such a excellent book. Explain the theory in a clear and concise way. I think this book is suitable for a engineering Ph.D student to learn complex analysis.
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Format: Hardcover
this book is superbly clear and as others have said very down to earth. i bought it out of curiosity beside my course book for complex analysis. I have gone through other books in this field and all of them misses the clarity that this book has. I would recommend it for anybody who is interested in both theory and application of complex variables. I think 5 stars are quite small a number for the quality, clarity and nature of the book.
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Fundamentals of Complex Analysis  with Applications to Engineering,  Science, and Mathematics (3rd Edition)
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