Applied Complex Variables for Scientists and Engineers – Yue Kuen Kwok – 2nd Edition

Description

This introduction to complex begins by carefully defining complex and analytic functions; and proceeds to give accounts of complex ; Taylor series; singularities; residues and mappings. Both algebraic and geometric are employed to provide the greatest understanding; with many diagrams illustrating the concepts introduced.

The emphasis is laid on understanding the use of methods; rather than on rigorous proofs. Throughout the text; many of the important theoretical results in complex function theory are followed by relevant and vivid examples in sciences.

This second edition now contains 350 stimulating exercises of high quality; with given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included; e.g. the Weierstrass-Casorati theorem.

The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Table of Contents

1. Complex numbers
2. Analytic functions
3. Exponential, logarithmic and trigonometric functions
4. Complex integration
5. Taylor and Laurent series
6. Singularities and calculus of residues
7. Boundary value problems and initial-boundary value problems
8. Conformal mappings and applications

Answers to problems
Index.

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