Overview
Classic Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions.
ShowKey Features
- PowerSeries approach gives students a chance to review calculus and discover complex analysis is a natural extension of calculus.
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ShowTable of Contents
Preface
1. Complex Numbers
2. Power Series
3. Analytic Functions
4. The Cauchy Theorem
5. Singularities and Residues
6. The Maximum Modulus Principle
7. Entire and Meromorphic Functions
8. Analytic Continuation
9. Normal Families
10. Conformal Mappings
11. Harmonic Functions
12. The Picard Theorems
Appendix- Unsolved Problems
Index
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ShowAbout the Author(s)
Liang-shin Hahn-University of New Mexico, Albuquerque, New Mexico
Bernard Epstein-Emeritus, University of New Mexico, New Mexico
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ShowAppropriate Courses
- Introduction to Complex Analysis- advanced undergraduate or graduate level
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