What if We Define 1-0 = Infinity - Möbius Transformations Visualized

Explore the fascinating world of Möbius transformations and the concept of defining 1/0 as infinity in this 25-minute video lecture. Delve into the Riemann sphere perspective, where infinity is treated as an ordinary point. Learn about circular and spherical inversion as powerful tools in Euclidean geometry. Discover the connections between Möbius maps and various mathematical concepts, including spinors, space-time, hyperbolic geometry, and conformal mapping in fluid mechanics. Follow along as the lecture progresses through 2D and 3D perspectives, offering a comprehensive understanding of these complex mathematical ideas.

Intro.
Chapter 1: The 2D perspective.
Chapter 2: More about inversion.
Chapter 3: The 3D perspective (1/z).
Chapter 4: The 3D perspective (general).