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Complex Analysis, Third Edition
A First Course with Applications

Author(s): Dennis G. Zill, Loyola Marymount University
Patrick D. Shanahan, Loyola Marymount University
  • ISBN-13: 9781449694616
  • ISBN-10:1449694616
  • Hardcover    444 pages      © 2015
Price: $215.95 US List
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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.

Features & Benefits

  • 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 help clarify the topics at hand
  • The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software.

Applicable Courses

Complex Analysis or Complex Variables courses in Mathematics and Engineering departments

Preface  Preface
  Chapter  1  Complex Numbers and the Complex Plane
  Chapter  2  Complex Functions and Mapping
  Chapter  3  Analytic Functions
  Chapter  4  Elementary Functions
  Chapter  5  Integration in the Complex Plane
  Chapter  6  Series and Residues
  Chapter  7  Conformal Mapping

Dennis G. Zill-Loyola Marymount University

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 D. Shanahan-Loyola Marymount University

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.

The following instructor resources are available to qualified instructors for download

ISBN-13: 9781449694616

Instructor's Solutions Manual

Student Solutions Manual to accompany Complex Analysis: A First Course with Applications (ExpressPDF)

ISBN-13: 9781284020830

The Student Solutions Manual to Accompany Complex Analysis: A First Course with Applications, Third Edition is designed to help you get the most out of your course Complex Analysis course. It provides the answers to every third exercise from each chapter in your textbook. This enables you to assess your progress and understanding while encouraging you to find solutions on your own.


Complex Analysis: A First Course with Applications, Third Edition with Student Study Guide in ePDF Format

Bundle ISBN: 9781284049107
This bundle includes a print copy of the text and the ePDF version of the Student Study Guide.