The Geometry of Surfaces - Algebraic Topology Lecture 20
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
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
Related Courses
An Introduction to Hyperbolic GeometryIndian Institute of Technology Kanpur via Swayam From Hyperbolic Geometry to Data Clustering
Open Data Science via YouTube Petrie Polygons of a Polyhedron - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube The Remarkable Platonic Solids I - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube