Quaternions are amazing, they made modern vector mathematics. But how were they created and how do they work? In order to explain all that I am providing both a fun biography of Hamilton AND a biography of quaternions and the couplets that led to them.
My website: http://www.KathyLovesPhysics.com
My book "The Lightning Tamers" on Amazon: https://amzn.to/3I7N4mq
Patreon: https://www.patreon.com/user?u=15291200
AudioBook Go Fund Me: https://www.gofundme.com/f/donate-to-help-me-make-an-audiobook?utm_campaign=p_lico+share-sheet&utm_medium=copy_link&utm_source=customer
Anne van Weerden's Website:
https://annevanweerden.nl/Entrance.html
"A Victorian Marriage"
https://annevanweerden.nl/VictorianMarriage.html#Publications
Full song of "William Rowan Hamilton": https://youtu.be/SZXHoWwBcDc
Cover art uses (with permission) the amazing sand sculpture by Daniel Doyle.
I highly recommend glancing at his blog about it, just beautiful!
https://steemit.com/art/@ammonite/i-j-k-ijk-1-sand-sculpture
0:00 Why I made this video
2:08 Hamilton's Career (History)
6:46 Couple/Couplet Theory (Math)
10:28 Hamilton's Personal Life (History)
15:34 Quaternions (Math)
31:55 Hamilton's Legacy (History)
39:20 What's Next