# Math

The abc Conjecture may have been proven by a Japanese mathematician – but what is it? More links & stuff in full description below ↓↓↓ Feeling brave and want to read the papers by Shinichi Mochizuki – http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-english.html (scroll to the bottom) This video features Dr James Grime who tweets at https://twitter.com/jamesgrime NUMBERPHILE Website: http://www.numberphile.com/
0! = 1 Dr James Grime tries to explain why this is the case – follow James on Twitter at https://twitter.com/jamesgrime More links & stuff in full description below ↓↓↓ Regarding the equation at the end – James says it should be e^-t dt NOT e^-n dn … sorry for the mix-up! NUMBERPHILE Website: http://www.numberphile.com/
How accurately can we calculate Pi using hundreds of REAL pies? More links & stuff in full description below ↓↓↓ Extended version of this video (director’s slice) at http://www.youtube.com/watch?v=x4kyFKyCMv0 This video features Matt Parker: https://twitter.com/standupmaths Matt believes this is the world’s most accurate pie-based Pi calculation. More Pi videos: http://bit.ly/W4oDN1 Filmed and edited by Brady
How do we know there are an infinite number of primes? More links & stuff in full description below ↓↓↓ Dr James Grime explains, with a bit of help from Euclid. Follow James at https://twitter.com/jamesgrime 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 Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady’s videos
I have seen this puzzle in a few places. Most recently I came across it in Peter Winkler’s “Mathematical Puzzles: A Connoisseur’s Collection” http://amzn.to/1DcPE4V The Race to 15 Game Theory Puzzle. Alice and Bob take turns selecting cards numbered 1, 2, .., 9 without replacement. (Alice goes first, then Bob picks a remaining card, and
The Josephus Problem, featuring Daniel Erman from University of Wisconsin-Madison. Winning at Dots and Boxes: https://youtu.be/KboGyIilP6k More links & stuff in full description below ↓↓↓ Correction: Around 9:40 that should be L less than 2^a NOT 2a — Sorry, typo in editing! But you got the point hopefully. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website:
We now have a Tumblr: Tumblr: http://numberphile.tumblr.com This paper on ebay: http://www.ebay.co.uk/itm/221197137799? More links & stuff in full description below ↓↓↓ Just how hard was the second problem cracked by Will in Good Will Hunting? Matt Damon! And who doesn’t love Homeomorphically Irreducible Trees? This video features Dr James Grime – http://singingbanana.com/ Music by Alan
Happy Pi Day! At 3/14/15 at 9:26 the time will be accurate to pi for 7 decimal places. What’s your favorite fact about pi? Links to proofs and more below in the description. 1. The definition 00:10 Related: the area of circle intuitive explanation 2. Pi is irrational 00:47 Proof (video) Proof (blog post) http://mindyourdecisions.com/blog/2013/11/08/proving-pi-is-irrational-a-step-by-step-guide-to-a-simple-proof/
The AKS Test has been a major break-through in the search for Prime Numbers. More links & stuff in full description below ↓↓↓ See the previous video about Fermat’s Prime Test at: http://youtu.be/jbiaz_aHHUQ The video features Dr James Grime – http://singingbanana.com The AKS Test paper: http://bit.ly/primetest Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile
We mark the date 12/12/12 with a video about the merits of the dozenal/duodecimal system. More links & stuff in full description below ↓↓↓ Numberphile regular Dr James Grime makes the case. More about James at http://www.singingbanana.com/ 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 Videos by Brady Haran Patreon: http://www.patreon.com/numberphile
A chat about some of the ways legendary physicist Richard Feynman cracked safes (filing cabinets) at Los Alamos during the Manhattan Project. More links & stuff in full description below ↓↓↓ Discussed by Professor Roger Bowley. My Favourite Scientist on Feynman: http://www.youtube.com/watch?v=qoYWfytx5QA Feynman Diagrams: http://www.youtube.com/watch?v=3bbJeMBHq0g Enigma: http://www.youtube.com/watch?v=G2_Q9FoD-oQ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile