Complex Analysis In the Spirit of Lipman Bers
This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2013, 2013
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| Edition: | 2nd ed. 2013 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface to Second Edition
- Preface to First Edition
- Standard Notation and Commonly Used Symbols
- 1 The Fundamental Theorem in Complex Function Theory
- 2 Foundations
- 3 Power Series
- 4 The Cauchy Theory - A Fundamental Theorem
- 5 The Cauchy Theory - Key Consequences
- 6 Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions
- 7 Sequences and Series of Holomorphic Functions
- 8 Conformal Equivalence and Hyperbolic Geometry
- 9 Harmonic Functions
- 10 Zeros of Holomorphic Functions
- Bibliographical Notes
- Bibliography
- Index