Curvature, Turning Numbers and Winding Numbers - Differential Geometry

Explore curvature, turning numbers, and winding numbers in this differential geometry lecture. Delve into the curvature of planar curves and their applications, examining irrational numbers and transcendental functions from an applied perspective. Learn about rational turn angles and their role in understanding curve properties. Gain insights into foundational mathematical concepts and their practical implications in geometry and topology.

Introduction
Introduction to applied mathematics
Gamma
Compute a square root
Infinite processes
Real numbers
Curves
Unit normal
Rational turn angles
Normal turn angles