Complex Variables and Applications – James W. Brown, Ruel V. Churchill – 8th Edition


and Applications, 8E” will serve, just as the earlier editions did, as a for an introductory in the theory and application of functions of a . 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 backgrounds of , footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in . Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.

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Table of Contents

1 Complex Numbers
2 Analytic Functions
3 Elementary Functions
4 Integrals
5 Series
6 Residues and Poles
7 Applications of Residues
8 Mapping by Elementary Functions
9 Conformal Mapping
10 Applications of Conformal Mapping
11 The Schwarz–Christoffel Transformation
12 Integral Formulas of the Poisson Type
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