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Complex Function Theory: Second Edition
About this Title
Donald Sarason, University of California, Berkeley, Berkeley, CA
Publication: Miscellaneous Books
Publication Year:
2007; Volume 49
ISBNs: 978-0-8218-4428-1 (print); 978-1-4704-1199-2 (online)
DOI: https://doi.org/10.1090/mbk/049
MathSciNet review: MR2368077
MSC: Primary 30-01
Table of Contents
Front/Back Matter
Chapters
- 1. Complex numbers
- 2. Complex differentiation
- 3. Linear-fractional transformations
- 4. Elementary functions
- 5. Power series
- 6. Complex integration
- 7. Core versions of Cauchy’s theorem, and consequences
- 8. Laurent series and isolated singularities
- 9. Cauchy’s theorem
- 10. Further development of basic complex function theory
- Appendix 1. Sufficient condition for differentiability
- Appendix 2. Two instances of the chain rule
- Appendix 3. Groups, and linear-fractional transformations
- Appendix 4. Differentiation under the integral sign