Dr James Grime discusses a type of number beyond the complex numbers, and why they are useful.
Extra footage:    • Quaternions (extra footage)  
More links & stuff in full description below ↓↓↓

Support us on Patreon:   / numberphile  

NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook:   / numberphile  
Numberphile tweets:   / numberphile  
Subscribe: http://bit.ly/Numberphile_Sub

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

Videos by Brady Haran

Brady's videos subreddit:   / bradyharan  

Brady's latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9

Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/n...

Special thanks to these supporters:
Jeff Straathof
Christian Cooper
Peggy Youell
Ken Baron
Today I Found Out
Roman Urbanovski
Mehdi Razavi
John Buchan
Bill Shillito
Andrzej 'Yester' Fiedukowicz
Susan Silver
Lê
OK Merli
Spiked Math
RexDex
Thomas Buckingham
Peter Kær
Henry Reich
George Greene
Arnas
Paul Bates
Michael Surrago
plusunim
Tracy Parry
Stan Ciprian
Mark Klamerus
Keith Vertrees
Tyler O'Connor
Kristian Joensen
Valentin
James P Buckley
Michael