YoVDO

Non-Euclidean Geometry - Math History - NJ Wildberger

Offered By: Insights into Mathematics via YouTube

Tags

Non-Euclidean Geometry Courses Linear Algebra Courses Mathematical Modeling Courses Hyperbolic Surfaces Courses

Course Description

Overview

Explore the complex history and development of non-Euclidean geometry in this 51-minute lecture. Delve into the contributions of Gauss, Lobachevsky, and Bolyai, and examine the long-standing study of Euclid's parallel postulate. Discover how spherical geometry, known to astronomers for millennia, played a crucial role in this field. Learn about a novel interpretation of non-Euclidean geometry involving three-dimensional linear algebra and projective techniques, which anticipated Einstein's work on relativity. Gain insights into the connections between ancient mathematical knowledge and modern geometric concepts, challenging conventional narratives and offering a fresh perspective on this fundamental area of mathematics.

Syllabus

Introduction
Background
The parallel postulate
Sphere geometry
Hyperbolic surfaces
Pointer a model
Reflecting
tilings


Taught by

Insights into Mathematics

Related Courses

History of Non-Euclidean Geometry
Extra Credits via YouTube
Cool Math Series
YouTube
Preparing for Further Study in Mathematics
Manchester Grammar School via FutureLearn
An Introduction to Hyperbolic Geometry
Indian Institute of Technology Kanpur via Swayam
A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics
Insights into Mathematics via YouTube