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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

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Table of Contents

Front/Back Matter

• View this volume's front and 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

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