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

YouTube

The Magic and Mystery of Pi - Real Numbers and Limits

Insights into Mathematics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of pi in this 42-minute lecture from the MathFoundations series. Delve into the historical significance and mathematical complexity of this enigmatic number, tracing its evolution from ancient times to modern computations. Examine various formulas for calculating pi, including those developed by mathematical luminaries like Archimedes, Newton, and Ramanujan. Consider the logical challenges in rigorously defining pi and its relationship to real numbers and geometry. Reflect on the speaker's perspective regarding pi's nature as a "meta number" rather than a real number, and contemplate its future role in understanding the mathematical continuum.

Syllabus

Intro to the magic of "pi"
"Pi" is usually defined by area or circumference
Logical difficulty
Brief history of "pi"
The first formulas of "pi"
Formulas for "pi" discovered by Newton
"Pi" formula by S. Ramanujan 1914
Page 269 of 'Divine Proportions'
Irrational real numbers
My attitude to "pi"
"Pi" is not a real number, it's a meta number

Taught by

Insights into Mathematics

Reviews

Start your review of The Magic and Mystery of Pi - Real Numbers and Limits

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.