Complex Analysis: A First Course with Applications 3rd Edition by Dennis G. Zill (PDF)

Description

Complex Analysis: A First Course with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. New and Key Features: Clarity of exposition supported by numerous examples Extensive exercise sets with a mix of computational and conceptual problems Applications to science and engineering throughout the text New and revised problems and exercise sets throughout Portions of the text and examples have been revised or rewritten to clarify or expand upon the topics at hand The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software.

User’s Reviews

Editorial Reviews: About the Author Dennis Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. He is also the former chair of the Mathematics department at Loyola Marymount University, where he currently holds a rank as Professor Emeritus of Mathematics. Zill holds interests in astronomy, modern literature, music, golf, and good wine, while his research interests include Special Functions, Differential Equations, Integral Transformations, and Complex Analysis.Patrick Shanahan received his Ph.D. from the University of California, Santa Barbara, 1996; his M.A. from the University of California, Santa Barbara, 1992; and his B.A. from California State University, Long Beach, 1990. Currently Patrick’s research interests include Geometric topology, knot theory, hyperbolic geometry, and representation theory.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Product is fine, it is the rental terms that need adjusting. My son’s semester isn’t over, yet his rental period is up because it is based on when he originated the rental. I don’t feel you should have to pay for an extension, while still in the same “period of use”.

⭐Very good book. It teaches me all aspects of complex numbers I need to learn for my study of differential equations, I like the large amount of problems and the solutions. I would find it better if there were all solution in the book not just 50%. The author also took care to show the applications sometimes for example in chapter 5 the visualization of what the line integrals mean is a bit weak. I can recommend this book for someone who wants to have a good overview over complex numbers their applications and properties.

⭐This is really a nice book for the subject. Literally takes you step-by-step through most of the first chapter. I would suggest having some experience up through Multivariable Calculus. The reason being, there are a lot of correlations between vectors and complex analysis. Complex analysis shows how operating on complex numbers are more versatile than trying to operate on vectors, but on the flip-side, there are some vectors in 3D that work much better than complex numbers. If you are definitely interested in complex analysis, get this book. You won’t be disappointed.

⭐This is THE book for self study. At close to 400 pages it’s bigger than your typical book because more time is spent explaining the material. The “Remarks” sections help draw your attention to important information for the section. There are typically 30-50 problems in each section, some on skills and some on concepts. The odd answers to, say, problem 25 are in the back. If you need more than that there’s supposed to be a student solutions manual for the book.

⭐I’m very pleased with my rental!

⭐Great for self teaching!~~The book serves its purpose greatly as the first book on the subject. No complaint at all. One of the best on the market.

⭐I just bought this book for a class. It is low priced, and a quick flip through the book looks like it will cover many useful topics that likely will be useful in other math courses.

⭐It was a great book, exactly what I needed for my class. Easy to understand, good examples. Delivered on time and in perfect condition

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