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Preface Preface
Chapter1 Complex Numbers and the Complex Plane
Chapter2 Complex Functions and Mapping
Chapter3 Analytic Functions
Chapter4 Elementary Functions
Chapter5 Integration in the Complex Plane
Chapter6 Series and Residues
Chapter7 Conformal Mapping

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.