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Function Theory of One Complex Variable, Third edition
About this Title
Robert E. Greene, University of California, Los Angeles, CA and Steven G. Krantz, Washington University, St. Louis, MO
Publication: Graduate Studies in Mathematics
Publication Year:
2002; Volume 40
ISBNs: 978-0-8218-3962-1 (print); 978-1-4704-1148-0 (online)
DOI: https://doi.org/10.1090/gsm/040
MathSciNet review: MR1871333
MSC: Primary 30-01
This volume is not part of this online collection.
Table of Contents
Chapters
- Chapter 1. Fundamental concepts
- Chapter 2. Complex line integrals
- Chapter 3. Applications of the Cauchy integral
- Chapter 4. Meromorphic functions and residues
- Chapter 5. The zeros of a holomorphic function
- Chapter 6. Holomorphic functions as geometric mappings
- Chapter 7. Harmonic functions
- Chapter 8. Infinite series and products
- Chapter 9. Applications of infinite sums and products
- Chapter 10. Analytic continuation
- Chapter 11. Topology
- Chapter 12. Rational approximation theory
- Chapter 13. Special classes of holomorphic functions
- Chapter 14. Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings
- Chapter 15. Special functions
- Chapter 16. The prime number theorem
- Appendix A. Real analysis
- Appendix B. The statement and proof of Goursat’s theorem