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The Geometry of Surfaces - Algebraic Topology Lecture 20

Offered By: Insights into Mathematics via YouTube

Tags

Algebraic Topology Courses Euclidean Geometry Courses Spherical Geometry Courses Hyperbolic Geometry Courses

Course Description

Overview

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Explore the connection between two-dimensional surfaces and the three classical geometries - Euclidean, spherical, and hyperbolic - in this 44-minute lecture on algebraic topology. Delve into a non-standard approach focusing on isometries rather than traditional distance and angle formulations. Learn about hyperbolic geometry through the lens of inversions in circles, specifically the Beltrami Poincare disk model. As the 20th lecture in a beginner's course on Algebraic Topology by Professor N J Wildberger at UNSW, gain valuable insights into the fascinating world of surface geometry and its relationship to fundamental geometric concepts.

Syllabus

The geometry of surfaces | Algebraic Topology | NJ Wildberger


Taught by

Insights into Mathematics

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