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Rational, Irrational and Transcendental Numbers
Manage episode 427415771 series 3584634
Content provided by Carol Jacoby. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Carol Jacoby or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ro.player.fm/legal.
Joseph Bennish returns to take us beyond the rational numbers we usually use to numbers that have been given names that indicate they're crazy or other-worldly. The Greeks were shocked to discover irrational numbers, violating their geometric view of the world. But later it was proved that any irrational number can be approximated remarkably well by a relatively simple fraction. The transcendental numbers were even more mysterious and were not even proved to exist until the 19th century.
64 episoade
Distribuie
Manage episode 427415771 series 3584634
Content provided by Carol Jacoby. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Carol Jacoby or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ro.player.fm/legal.
Joseph Bennish returns to take us beyond the rational numbers we usually use to numbers that have been given names that indicate they're crazy or other-worldly. The Greeks were shocked to discover irrational numbers, violating their geometric view of the world. But later it was proved that any irrational number can be approximated remarkably well by a relatively simple fraction. The transcendental numbers were even more mysterious and were not even proved to exist until the 19th century.
64 episoade
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Similar cu The Art of Mathematics
Get in-depth coverage of current and future trends in technology, and how they are shaping business, entertainment, communications, science, politics, and society.
…
continue reading
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…
continue reading
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…
continue reading
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…
continue reading
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…
continue reading
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…
continue reading
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…
continue reading
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…
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