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The Heat Equation + Special Announcement! | Infinite Series

2017-11-17

[public] 153K views, 7.23K likes, 104 dislikes audio only

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What is the heat equation? And find out who the two new hosts of Infinite Series are!

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Hilbert's 15th Problem: Schubert Calculus | Infinite Series

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Imagine a giant -- endless, infinite -- sheet of metal. For mathematical convenience, let’s overlay a grid. Now, imagine you light a very tiny and very powerful match directly underneath the origin, the point (0,0). This super special match instantaneously creates infinite heat at the origin, and zero heat everywhere else. Immediately remove the match and watch the heat diffuse along the surface, radiating out from the origin.

Links to Resources:

Distribution of Heat Graph

https://www.youtube.com/watch?v=twBcpxrWm5E

Normal Distribution Graph

http://www.statisticshowto.com/wp-content/uploads/2013/09/normal-distribution-probability.jpg

3D Plot Heat Graph

https://www.mathworks.com/help/examples/matlab/win64/ThreeDPlotsGSExample_01.png

Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Mike Petrow

Made by Kornhaber Brown (www.kornhaberbrown.com)

Thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level!

And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!


What Is the Heat Equation
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Idealized Model of Heat Diffusion
/youtube/video/NHucpzbD600?t=89.408997
Hilbert's 15th Problem: Schubert Calculus | Infinite Series 139,252 views
/youtube/video/U8sq3BplCfI
PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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