Complex variables and applications /

Brown, James Ward.

Complex variables and applications / James Ward Brown, Ruel V. Churchill. - 8th ed. - New York : London : McGraw-Hill Higher Education ; McGraw-Hill [distributor], 2009. - xi, 468 p. : ill. ; 24 cm.

Previous ed.: 2004.

Includes bibliographical references and index.

Complex Numbers -- Analytic Functions -- Elementary Functions -- Integrals -- Series -- Residues and Poles -- Applications of Residues -- Mapping by Elementary Functions -- Conformal Mapping -- Applications of Conformal Mapping -- The Schwarz?Christoffel Transformation -- Integral Formulas of the Poisson Type

Complex Variables and Applications, 8e 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

9780071263283 0071263284


Functions of complex variables.

Residues and Poles Elementary Functions Analytic Functions Complex Numbers

515.93