Complex Analysis: An Invitation
Material type:
TextLanguage: English Publication details: Singapore World Scientific 2022Edition: 2ndDescription: x, 414pISBN: 9781944659943 (PB)Subject(s): Harmonic functions | Global theory | Mathematics
BOOKS
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New Arrivals (01 April 2024)
| Current library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | 517.53 RAO (Browse shelf (Opens below)) | 1 | Available | 77515 | ||
| IMSc Library | IMSc Library | 517.53 RAO (Browse shelf (Opens below)) | 2 | Available | 77531 |
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| 517.53 DED Theory of algebraic functions of one variable | 517.53 GRE Function theory of one complex variable | 517.53 GRE Function theory of one complex variable | 517.53 RAO Complex Analysis: An Invitation | 517.95 CON Course in operator theory | 519.1 LOV Combinatorial problems and exercises | 519.1 LOV Combinatorial problems and exercises |
Includes bibliographical references (pages 310-325) and index
1. Power Series
2. Holomorphic and Analytic Functions
3. Exponential Function, Logarithm and Winding Number
4. Basic Theory of Holomorphic Functions
5. Global Theory
6. Isolated Singularities
7. The Picard Theorems
8. Geometric Aspects and the Riemann Mapping Theorem
9. Meromorphic Functions and Runge's Theorems
10. Representations of Meromorphic Functions
11. The Prime Number Theorem
12. Harmonic Functions
13. Subharmonic Functions
14. Various Applications
15. Jordan Regions
16. The Dirichlet Problem and Green's Functions
17. Extending Riemann Maps to the Boundary
18. Caratheodory Convergence
19. Capacities
20. Loewner Theory
This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
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