Complex analysis
Elias M. Stein & Rami Shakarchi.
Princeton, N.J. : Princeton University Press, ©2003.
xvii, 379 págs. : ilustraciones ; 24 cm.
Serie: Princeton lectures in analysis ; 2
ISBN: 0691113858
Incluye referencias bibliográficas (p. [369]-371) e índice.
Reseña: MathSciNet, 2004d:30002
Contenido
- 1. Preliminaries to Complex Analysis
- 2. Cauchy's Theorem and Its Applications
- 3. Meromorphic Functions and the Logarithm
- 4. The Fourier Transform
- 5. Entire Functions
- 6. The Gamma and Zeta Functions
- 7. The Zeta Function and Prime Number Theorem
- 8. Conformal Mappings
- 9. An Introduction to Elliptic Functions
- 10. Applications of Theta Functions
- Appendix A: Asymptotics
- Appendix B: Simple Connectivity and Jordan Curve Theorem.
