Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

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

Mathemaniac via YouTube

Overview

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.

Syllabus

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

Taught by

Mathemaniac

Reviews

Start your review of What if We Define 1-0 = Infinity - Möbius Transformations Visualized

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.