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

Edward B. Saff (Author), Arthur David Snider (Author)

Book Description

Publication Date: January 10, 2003 | ISBN-10: 0139078746 | ISBN-13: 978-0139078743 | Edition: 3

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.

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 out of print or unavailable edition of this title.

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.

See all Editorial Reviews

Product Details

• Hardcover: 563 pages
• Publisher: Prentice Hall; 3 edition (January 10, 2003)
• Language: English
• ISBN-10: 0139078746
• ISBN-13: 978-0139078743
• Product Dimensions: 9.6 x 7.1 x 1.1 inches
• Shipping Weight: 2.2 pounds (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars  See all reviews (8 customer reviews)
• Amazon Best Sellers Rank: #195,173 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

30 of 31 people found the following review helpful:

4.0 out of 5 stars Good Introductory Book, January 27, 2004

By 

Paul "kras" - See all my reviews
(REAL NAME)   

This review is from: Fundamentals of Complex Analysis for Mathematics, Science And Engineering (2nd Edition) (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.

21 of 21 people found the following review helpful:

5.0 out of 5 stars Excellent Book!, April 23, 2006

By 

mathistheway (Exile) - See all my reviews

This review is from: Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics (3rd Edition) (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.

26 of 28 people found the following review helpful:

4.0 out of 5 stars down to earth book for people like you and me, December 9, 2001

By A Customer

This review is from: Fundamentals of Complex Analysis for Mathematics, Science And Engineering (2nd Edition) (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.