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A Brief History of Geometry - Sociology and Pure Mathematics

Offered By: Insights into Mathematics via YouTube

Tags

Mathematics Courses Astronomy Courses Construction Courses Platonic Solids Courses

Course Description

Overview

Explore the fascinating evolution of geometry in this 27-minute video lecture from the Insights into Mathematics series. Trace the development of geometric concepts from Mesolithic times through ancient Greek, Indian, and Islamic contributions up to 1400 A.D. Discover key theorems and their historical significance, including the often-underappreciated Islamic studies of spherical geometry. Examine both applied and theoretical aspects of geometry, with particular emphasis on its connections to astronomy, surveying, and construction. Gain insights into the Platonic solids and their role in geometric understanding. Follow the chronological progression through various civilizations' contributions, from early practical applications to more abstract Greek concepts, and finally to advanced Islamic developments in spherical geometry.

Syllabus

Introduction
Earliest theoretical result in geometry
Early geometry is applied!
Greek period: pure /abstract geometry
Greek period: applied / astronomical
Indian geometry
Islamic / Arabic period 800-1500 A.D.


Taught by

Insights into Mathematics

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