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The Art of Mathematics
Carol Jacoby
72 episodes
2 days ago
Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.
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Mathematics
Science
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All content for The Art of Mathematics is the property of Carol Jacoby and is served directly from their servers with no modification, redirects, or rehosting. The podcast is not affiliated with or endorsed by Podjoint in any way.
Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.
Show more...
Mathematics
Science
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Egyptian Fractions
The Art of Mathematics
17 minutes 21 seconds
1 year ago
Egyptian Fractions

Neil Epstein, Associate Professor of Mathematics at George Mason University, introduces us to the fractions used by the ancient Egyptians, well before the Greeks and Romans. The Egyptian fractions all had a unit numerator. They could represent any fraction as a sum of unique unit fractions, a fact that was not proved until centuries later. These sums inspired conjectures, one of which was proved only recently, while others remain unsolved to this day. Recent work extends these concepts beyond fractions of integers. Human heritage goes way back, but is still inspiring modern research.

The Art of Mathematics
Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.