Complex Variables And Applications

By (author) Brown, James; By (author) Churchill, Ruel
Short description/annotation
Suitable for an introductory course in the theory and application of functions of a complex variable, this title is designed to develop the theory that is prominent in applications of the subject. It helps you find a special emphasis given to the application of residues and conformal mappings.
Description
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 NumbersChapter 2. Analytic FunctionsChapter 3. Elementary FunctionsChapter 4. IntegralsChapter 5. SeriesChapter 6. Residues and PolesChapter 7. Applications of ResiduesChapter 8. Mapping by Elementary FunctionsChapter 9. Conformal MappingChapter 10. Applications of Conformed MappingChapter 11. The Schwarz-Christoffel TransformationChapter 12. Integral Formulas of the Poisson TypeAppendixes
Biographical note
RUEL V. CHURCHILL (University of Michigan)