Master the foundations of complex analysis with this classic text. This comprehensive volume covers analytic functions, conformal mappings, and the general theory of functions of a complex variable, equipping readers with rigorous methods and clear explanations.
This edition presents the material in a way that fits introductory college courses, while preserving the depth that makes it a lasting reference. It guides you from basic definitions to powerful theorems, with careful development of key techniques used in complex analysis and its applications to geometry and beyond.
- Foundational definitions and properties of analytic and continuous complex functions
- Development of power series, Laurent series, and residue theory
- Conformal mappings and the geometric interpretation of complex functions
- Applications to integration, special functions, and the theory of equations
Ideal for readers of mathematical analysis, this book serves as a solid introduction and a reliable reference for further study in complex variables and related fields.