Embedding a Torus (John Nash) - Numberphile

Video Description

This videos features James Grime with a little bit of Edward Crane. More links & stuff in full description below ↓↓↓ Ed's full discussion of Nash and embedding: https://youtu.be/5xQ4ePN79-M Nash shared both the Nobel and Abel Prizes. Full details. Nobel: http://www.nobelprize.org/nobel_prizes/economic-sciences/laureates/1994/ Abel: http://www.abelprize.no/c63466/seksjon/vis.html?tid=63467&strukt_tid=63466 Other mathematicians have done much work in this field (we have focused on Nash in these videos). Great summary here: http://math.univ-lyon1.fr/~borrelli/Hevea/Presse/index-en.html And top paper on the corrugated torus: http://www.pnas.org/content/109/19/7218.full.pdf James Grime: http://singingbanana.com Edward Crane at the University of Bristol: http://www.maths.bris.ac.uk/~maetc/ Twisted Torus video: https://youtu.be/3_VydFQmtZ8 Torus Balloon at Maths Gear: http://bit.ly/TorusBalloon Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/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: http://www.reddit.com/r/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/numberphile