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Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.
Table of Contents
Chapter 1. Complex Numbers
Chapter 2. Analytic Functions
Chapter 3. Elementary Functions
Chapter 4. Integrals
Chapter 5. Series
Chapter 6. Residues and Poles
Chapter 7. Applications of Residues
Chapter 8. Mapping by Elementary Functions
Chapter 9. Conformal Mapping
Chapter 10. Applications of Conformed Mapping
Chapter 11. The Schwarz-Christoffel Transformation