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

YouTube

Examples of Curvatures of Surfaces - Differential Geometry Lecture 30

Insights into Mathematics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the intricacies of surface curvature in this comprehensive differential geometry lecture. Delve into various formulas for calculating surface curvature, including those for normal paraboloids, functions passing through the origin, and general conics. Examine practical examples such as spheres, ellipsoids, and the ellipson cubic surface from Rational Trigonometry. Gain insights into the calculation of curvatures for parametric surfaces, following C. F. Gauss's approach. Perfect for mathematics enthusiasts and students looking to deepen their understanding of differential geometry and surface analysis.

Syllabus

Introduction
Normal paraboloid
Hessian
A function
Generali conic formula
EX. Sphere through 0,0,0 and its equation
The Ellipsoid
The Ellipsoid cubic from Rational Trigonometry
Parametric surfaces

Taught by

Insights into Mathematics

Reviews

Start your review of Examples of Curvatures of Surfaces - Differential Geometry Lecture 30

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.