Complex Variables and Applications [Hardcover]

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.

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

Chapter 12. Integral Formulas of the Poisson Type

Appendixes