Function theory of one complex variable /
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| Author / Creator: | Greene, Robert Everist, 1943- |
|---|---|
| Edition: | 3rd ed. |
| Imprint: | Providence, R.I. : American Mathematical Society, c2006. |
| Description: | xix, 504 p. : ill. ; 27 cm. |
| Language: | English |
| Series: | Graduate studies in mathematics, 1065-7339 ; v. 40 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5895103 |
Table of Contents:
- Fundamental concepts
- Complex line integrals Applications of the Cauchy integral
- Meromorphic functions and residues
- The zeros of a holomorphic function
- Holomorphic functions as geometric mappings
- Harmonic functions Infinite series and products
- Applications of infinite sums and products
- Analytic continuation Topology
- Rational approximation theory
- Special classes of holomorphic functions
- Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings
- Special functions The prime number theorem
- Appendix A. Real analysis
- Appendix B. The statement and proof of Goursat's theorem
- References
- Index
