In particular, the methods of zeta function regularization and ramanujan summation assign the series a value of. James grime website includes a section to book his talks a selection of james videos on numberphile james own channel singing banana james discusses the little professor the first proper numberphile video from 2011 filming at a gritty, urban underpass status. The sum of all natural numbers from 1 to infinity produces an astounding result. Numberphile is an educational youtube channel featuring videos that explore topics from a variety of fields of mathematics. Videos featuring neil on numberphile neil sloane homepage traralgon and bradys podcast with tim from traralgon 1956 melbourne olympics neils works on amazon neils phd thesis sloanes gap numberphile the slightly spooky recaman sequence numberphile guardian article on neil sloane works citing the oeis oeis foundation and donations. A recent video purported to prove that adding an infinite series of natural. The josephus problem numberphile golectures online lectures.
Id also like an explanation of how this isnt hokuspokus. It seems fairly intuitive that the geometric series above should converge to 1. The problem with this reasoning is that it assumes. The idea featured in a numberphile video see below, which claims to prove the result. Why 112 is a gold nugget riemann hypothesis numberphile. Bid proposal is a complete and properly signed proposal to do the work of an individual bid. The josephus problem, featuring daniel erman from university of wisconsinmadison. Recently a very strange result has been making the rounds. Why 1 12 is a gold nugget followup numberphile video with edward frenkel.
Listen to a podcast, please open podcast republic app. Black eagle james talks about enigma bradys bibledex with thanks to msri. Why 112 is a gold nugget followup numberphile video with edward frenkel. Apr the legendary john conway 19372020 brady haran. For many years i have been saying that i would like to write a book or series of. Edwards book via amazon edward on twitter his videos on numberphile artificial intelligence. Fair dice part 1 numberphile a hole in a hole in a hole numberphile. In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, featuring videos on more advanced mathematical concepts such as fermats last theorem and the riemann hypothesis.
When he got to the end of the notebook, he vaguely understood the symbols outlined, but concluded the book was nonsense. Preparing y11 students for the new 91 gcse exams meet the waff. In modern mathematics, the sum of an infinite series is defined to be the limit of the sequence of its partial sums, if it exists. Hosted by brady haran, maker of the numberphile series on youtube. Numberphile is supported by the mathematical sciences research. Jan 31, 2014 so there you are living your life, content in your grasp on how the world works. Im just an undergrad, but ive been taught that rearranging nonabsolutelyconvergent series, let alone divergent series, is a big nono because you can make it equal whatever you want. Dr james grime discusses a couple of clever formulas which are pandigital using all the numbers from 19. In our digital age, coding has become a basic literacy skill which gives us a deeper understanding of the technology we use everyday.
Nov 20, 2012 this website and its content is subject to our terms and conditions. The latter series is an example of a dirichlet series. For me it was the teachers, with their leaps of faith, blasting through the set books and omitting whole chapters. This website and its content is subject to our terms and conditions. Edge of eternity by ken follett, the long way home by louise penny, the chalk girl by carol oconnell. It is impossible to claim that mathematics is boring after reading this wonderful book.
As he read the book, he found the notes documenting symbology for a proposed language to communicate thought. We mainly post videos about mathematics and just numbers in general. Mar 31, 2020 hosted by brady haran, maker of the numberphile series on youtube. Infinite series numberphile whats special about 277777788888899. I will also never look at a pineapple in the same way again. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq. This lead to discussion, he thought, of some kind of experiment to pass ideas to others without speaking. Apr 10 crystal balls and coronavirus with hannah fry brady haran. Incorrect book the list contains an incorrect book please specify the title of the book. Spam or selfpromotional the list is spam or selfpromotional.
If you take the sequence of partial sums as we did above. Think like a coder is a 10episode series that will challenge viewers with programming puzzles as the main characters a girl and her robot companion attempt to save a world that has been plunged into turmoil. This is not a duplicate question because i am looking for an explanation directed to a general audience as to the mistakes if any in numberphiles proof reproduced below. For many years i have been saying that i would like to write a book or series of books called physics for mathematicians. Interviews with people who love numbers and mathematics. Numberphile is a series of numbery videos by brady haran the guy behind projects like periodicvideos and sixty symbols. Mar 25, 2016 the sum of all natural numbers from 1 to infinity produces an astounding result. It is a divergent series, meaning that it lacks a sum in the usual sense. The josephus problem numberphile golectures online. In the end, it all adds up to 112 the new york times. I would open something like an introductory quantum mechanics book and they would just lay out the mathematical formulation of things without giving any or, i guess, not satisfactory motivation about it. Finally and this really is just about the last page of the book section. Incredible formula numberphile safe videos for kids.
Help has arrived this is a post that a homeschooling mom. Hardys excellent book on the subject explains the rights and wrongs. Tes global ltd is registered in england company no 02017289 with its registered office. Random fibonacci numbers numberphile golectures online. November 18, 20 section 00015 listing of documents.
His second book, humble pi, was released in march 2019. Score a books total score is based on multiple factors, including the number of people who have voted for it and how highly those voters ranked the book. Edwards website love and math edwards book via amazon edward on twitter his videos on numberphile artificial intelligence. The numberphile infinite series video mikes math page. Whenever i would tell people that, they would say, oh good, youre going to explain quantum mechanics, or string theory, or something like that. That is proof that this series does not converge, or have a definite sum. Project euler get students coding to solve maths problems 02102016. The sequence of partial sums of grandis series is 1, 0, 1, 0. Numberphile is a youtube channel devoted to popmath and this particular video has garnered over 3m views. Number ninja finished in july 20, while his second solo tour matt parker. He has written the book things to make and do in the fourth dimension. Prodigies is a colorful music curriculum for kids 112 that will teach your kids how to play their first instrument. James grime website includes a section to book his.
Not in a numberphile video, or some other internet video, but in a math textbook by g. That series, while not convergent, is still cesaro summable which. Ben uses one over a number quite often during the video to make a fraction of a turn between 0 and 1, but the same effects apply if you turn more than a complete turn e. People usually recommend hardys book, divergent series, but id. Matt parker discusses tuppers selfreferential formula. So you watch the rest of the video above, made by numberphile, a bunch of math wonks with a.
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