Complex analysis /
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Author / Creator: | Lang, Serge, 1927-2005 |
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Edition: | 3rd ed. |
Imprint: | New York : Springer-Verlag, c1993. |
Description: | xiv, 458 p. : ill. ; 25 cm. |
Language: | English |
Series: | Graduate texts in mathematics. 103 |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1426497 |
Table of Contents:
- I. Basic Theory
- 1. Complex Numbers and Functions
- 2. Power Series
- 3. Cauchy's Theorem, First Part
- 4. Winding Numbers and Cauchy's Theorem
- 5. Applications of Cauchy's Integral Formula
- 6. Calculus of Residues
- 7. Conformal Mappings
- 8. Harmonic Functions
- II. Geometric Function Theory
- 9. Schwarz Reflection
- 10. The Riemann Mapping Theorem
- 11. Analytic Continuation Along Curves
- III. Various Analytic Topics
- 12. Applications of the Maximum Modulus Principle and Jensen's Formula
- 13. Entire and Meromorphic Functions
- 14. Elliptic Functions
- 15. The Gamma and Zeta Functions
- 16. The Prime Number Theorem