Visual Complex Functions An Introduction with Phase Portraits /

• Main Author: Wegert, Elias (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Subjects: Mathematics.; Functions of complex variables.; Special functions.; Functions of a Complex Variable.; Special Functions.

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. Reading Visual Complex Functions requires no prerequisites e...

Table of Contents:

• Preface
• 1. Getting Acquainted
• 2. Complex Functions
• 3. Analytic Functions
• 4. Complex Calculus
• 5. Construction Principles
• 6. Conformal Mappings
• 7. Riemann Surfaces.