Riemannsche Zahlensphäre und Möbius-Transformationen (German Edition)
This German edition by Maximilian Wiecha introduces the Riemann sphere and Möbius transformations, essential tools in complex analysis. It covers their definitions, properties, and geometric interpretations, providing a solid foundation for advanced mathematical studies. Ideal for those exploring the intersections of algebra and geometry in the complex plane.
About This Book
The Riemann sphere, also known as the Riemannsche Zahlensphäre, extends the complex plane by adding a point at infinity, providing a compact model for complex numbers.
Möbius transformations are conformal mappings of the Riemann sphere, preserving angles and offering insights into hyperbolic geometry and group theory.
This work by Maximilian Wiecha presents these topics in a structured manner, suitable for students and researchers in pure mathematics.
Key properties and applications are discussed, emphasizing the sphere's role in understanding inversion and stereographic projection.
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