Infinity in Greek Mathematics - Math History - NJ Wildberger
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore the foundations of calculus and ancient Greek mathematics in this 54-minute lecture. Delve into the groundbreaking work of Eudoxus and Archimedes, examining their contributions to advanced calculus concepts. Discover Archimedes' formulas relating the volumes and surface areas of spheres and cylinders, his exploration of parabolic arcs, and the improved version of Heron's formula using Rational Trigonometry. Learn about Archimedes' contributions to hydrostatics and the Principle of the Lever, showcasing his true genius in mathematical and mechanical fields.
Syllabus
Introduction
The trajectory of mathematics
The ancient Greeks
Natural numbers
Archimedes
Eudoxus
Parabola
Archimede
Mechanical genius
Pi
Area and Volume
Herons Formula
Taught by
Insights into Mathematics
Related Courses
Advanced Machine LearningThe Open University via FutureLearn On-Ramp to AP* Calculus
Weston High School via edX Preparing for the AP* Calculus AB and BC Exams
University of Houston System via Coursera Calculus: Single Variable Part 4 - Applications
University of Pennsylvania via Coursera Applications of Calculus
Boxplay via FutureLearn