A Brief History of Geometry II: The European Epoch - From Cartesian to Differential Geometry

Explore the European epoch of geometry in this 23-minute video lecture. Gain insights into the development of various geometric disciplines from the 17th to the 19th century, including Cartesian, projective, descriptive, algebraic, and differential geometry. Learn about the contributions of key figures like Desargues, Monge, and Gauss. Discover how these advancements shaped the field of mathematics and why geometry's prominence in education has declined. Benefit from a concise overview suitable for both social scientists and mathematics students seeking to understand the historical context and significance of geometric developments in Europe.

Introduction
Cartesian geometry
Projective geometry Desargues
Descriptive geometry Monge
Algebraic geometry
Differential geometry Gauss