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Solving a 3700-Year-Old Babylonian Compound Interest Problem from the Louvre Museum

Wrath of Math via YouTube

Overview

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Explore an ancient Babylonian mathematics problem preserved on a clay tablet in the Louvre Museum's collection. Discover how a 3,700-year-old tablet (AO6770) from around 1700 BC contains a sophisticated compound interest problem that demonstrates the mathematical prowess of ancient Babylonian civilization. Learn to solve this historical problem using both modern mathematical methods involving logarithms and the original linear interpolation technique employed by the Babylonians themselves. Examine the tablet's cuneiform inscriptions and understand how ancient mathematicians approached complex financial calculations without modern tools. Compare the efficiency and accuracy of contemporary mathematical approaches with the ingenious methods developed by Babylonian scholars, gaining insight into the evolution of mathematical problem-solving techniques across millennia. Delve into the historical context of Babylonian mathematics and appreciate how mathematical concepts like compound interest have remained relevant throughout human civilization.

Syllabus

0:00 Intro
2:05 The Tablet
3:03 mathshion
3:56 Modern Solution
5:02 Logarithms
8:16 Babylonian Solution
12:07 How it Looked
13:07 Conclusion

Taught by

Wrath of Math

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