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YouTube

The Bizarre Fractions of Ancient Egypt

Wrath of Math via YouTube

Overview

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Explore the fascinating world of ancient Egyptian mathematics in this 26-minute video that delves into their unique approach to fractions. Learn how Egyptians exclusively used unit fractions and 2/3 in their mathematical calculations, with methods based entirely on doubling. Discover the notation systems used for numbers and "parts" (fractions) in ancient Egypt, and understand the computational techniques they employed. The video demonstrates how modern mathematicians can convert contemporary fractions into Egyptian equivalents using a greedy algorithm, while highlighting that these conversions aren't always unique. Follow along as mathematical problems from the historic Rhind Papyrus are solved using authentic Egyptian methods, including practical applications like dividing loaves of bread. The presentation includes detailed explanations of notation systems, computational techniques, and even touches on open problems in this area of mathematical history.

Syllabus

0:00 Intro
2:00 Rhind Papyrus
3:04 Fraction Notation
6:20 Greedy Algorithm
9:16 No Uniqueness
11:05 An Open Problem
13:26 Some New Notation
14:18 Computation
18:12 The Table
20:32 Solving Problem 21
23:23 Loaves of Bread
25:14 Conclusion

Taught by

Wrath of Math

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