TY  - BOOK
AU  - Rao, Murali
AU  - Stetkaer, Henrik
AU  - Fournais, Soren
AU  - Mollar, Jacob Schach
TI  - Complex Analysis: : An Invitation
SN  - 9781944659943 (PB)
PY  - 2022///
CY  - Singapore
PB  - World Scientific
KW  - Harmonic functions
KW  - Global theory
N1  - 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
N2  - 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
ER  -