【应用复变量】 Applied Complex Variables for Scientists and Engineers (2e)

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Applied Complex Variables for Scientists and Engineers
2nd Edition

AUTHOR: Yue Kuen Kwok



This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools 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 physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions 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.

• Treats applications in detail and uses them to illustrate mathematical points and techniques
• Does not get bogged down in proofs
• This new edition includes many more stimulating exercises and examples

Table of Contents

Preface
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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