Langbeschreibung
This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations - so-called phase portraits - which visualize functions as images on their domains.
Hauptbeschreibung
First introduction to complex functions systematically using phase portraits (which are expected to become an indispensable tool for exploring complex functions in teaching, mathematical research and applications alike)
Inhaltsverzeichnis
Preface.- 1. Getting Acquainted.- 2. Complex Functions.- 3. Analytic Functions.- 4. Complex Calculus.- 5. Construction Principles.- 6. Conformal Mappings.- 7. Riemann Surfaces