Complex Analysis: A First Course with Applications / Edition 3

by Dennis G. Zill, Patrick D. Shanahan

Overview

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.

Product Details

ISBN-13:	9781449694616
Publisher:	Jones & Bartlett Learning
Publication date:	10/04/2013
Edition description:	New Edition
Pages:	444
Product dimensions:	10.90(w) x 8.60(h) x 1.20(d)

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.

Table of Contents

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