Complex Variables and Applications – James W. Brown, Ruel V. Churchill – 9th Edition

1. Introduction
2. Complex Numbers
3. Functions of a Complex Variable
4. Elementary Functions
5. Integrals
6. Series
7. Residues and Poles
8. Applications of Residues
9. Mapping by Elementary Functions
10. Conformal Mapping
11. Infinite Series
12. Analytic Continuation
13. Convergence of Infinite Integrals
14. The Gamma and Zeta Functions
15. Applications of Analytic Continuation
16. Fourier Series and Laplace Transforms
17. Boundary Value Problems in Electromagnetics and Physics
18. Other Applications
19. Numerical Methods and Computation
20. Answers to Selected Problems
Appendix A. Complex Variables in Algebra and Geometry
Appendix B. List of Special Symbols
Appendix C. Table of Laplace Transforms
Appendix D. Table of Fourier Transforms and Properties
Appendix E. Vector Differential Operators
Appendix F. Vector Identities
Bibliography
Index