-
Srinivasa Ramanujan biography Part 1, Great mathematician of India who knew infinity
Click here https://bit.ly/2wJs0SV to Download our Android APP to have access to 1000's of #Smart_Courses covering length and breadth of almost all competitive exams in India.
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UPSC Optionals - We have covered almost all major UPSC Optionals. Download the app https://bit.ly/2wJs0SV to watch...
published: 18 Nov 2018
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Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function.
You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg
(quite large)
You c...
published: 22 Apr 2016
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163 and Ramanujan Constant - Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
More links & stuff in full description below ↓↓↓
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
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published: 02 Mar 2012
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The Man Who Knew Infinity(2015) Full Movie HD||Dev Patel,Jeremy Irons,Devika Bhise
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published: 31 Jan 2020
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Ancient Aliens: Ramanujan the Divine Mathematician (Season 11, Episode 5) | History
Join us at AlienCon to see your favorite experts from Ancient Aliens!
According to ancient astronaut theorists, Ramanujan, the mathematician who lived almost a hundred years ago and whose breakthroughs helped form the basis of superstring theory and multidimensional physics, claimed to have been influenced by otherworldly beings in this clip from Season 11, Episode 5, "The Visionaries." #AncientAliens
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published: 21 Dec 2018
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SRINIVASA RAMANUJAN: The Mathematician & His Legacy
Each year, December 22nd is celebrated as the National Mathematical Day in India to commemorate the birth anniversary of the self-taught genius – Srinivasa Ramanujan whose work continues to intrigue, inspire and challenge mathematicians around the world. His fertile mind envisioned a world where science and mathematics converge to uncover fundamental principles governing our universe. Nearly a hundred years after his death, mathematics has slowly developed tools that are unraveling some of the secrets behind his intuitive suppositions. His oeuvre has opened up new vistas of possibilities, new branches of mathematics have sprouted and proliferated and found application in different fields of sciences, implausible in his own times. The Film brings together his life on screen, with period e...
published: 26 Apr 2016
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"Gems of Ramanujan and their Lasting Impact on Mathematics", Ken Ono
Ramanujan's work has had a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and notebooks. In Ken Ono's lecture, some of the studies of Ramanujan that are most accessible to the general public will be presented and how Ramanujan's findings fundamentally changed modern mathematics, and also influenced his work, will be discussed.
published: 17 Oct 2017
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Unplug with Sadhguru: The secret of Ramanujan’s genius
Sadhguru Jaggi Vasudev was at SRCC for the inaugural session of Youth and Truth, a month-long traveling series that will take Sadhguru to college campuses around India including IITs, IIMs and JNU among others. Watch the Video where Sadhguru answers on The secret of Ramanujan’s genius.
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published: 06 Sep 2018
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The letter that revealed Ramanujan's genius
Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his remarkable ideas. In this video we take a look at that letter and at Hardy's initial response.
Further reading/watching:
Making sense of 1+2+3+... = -1/12: https://youtu.be/jcKRGpMiVTw
YouTube Ramanujan documentary: https://youtu.be/YSOYdsaTYBU
Wolfram blog: https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/
The distribution of prime numbers: https://medium.com/cantors-paradise/the-riemann-hypothesis-explained-fa01c1f75d3f
A Gentle Introduction to Analytic Continuation: https://medium.com/cantors-paradise/a-gentle-introduction-to-analytic-continuation-c1ab92fb2ba1
Images of Ramanujan's letter (on Twitter): https://twitter...
published: 14 Aug 2020
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Ramanujan, 1729 and Fermat's Last Theorem
Some things you probably did not know about 1729 and the Man Who Knew Infinity.
Scan of page from Ramanujan’s Lost Notebook
http://i.imgur.com/xsfXHUz.jpg
Fermat’s Last Theorem by Simon Singh:
https://www.amazon.co.uk/Fermats-Last-Theorem-Confounded-Greatest/dp/1841157910/ref=sr_1_1?_encoding=UTF8&tag=stanupmath-21
PDF of the first lecture from Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work
https://dl.dropboxusercontent.com/u/50166092/Ramanujan%20-%20G%20H%20Hardy%20-%201940.pdf
Imgur album: http://imgur.com/a/KJOuV
Plus magazine “Ramanujan surprises again”
https://plus.maths.org/content/ramanujan
“The 1729 K3 Surface” by Ken Ono and Sarah Trebat-Leder
http://arxiv.org/abs/1510.00735
Generating Function -- from Wolfram MathWorld
http://mathworld.wolfram.com/Ge...
published: 29 Apr 2016
19:53
Srinivasa Ramanujan biography Part 1, Great mathematician of India who knew infinity
Click here https://bit.ly/2wJs0SV to Download our Android APP to have access to 1000's of #Smart_Courses covering length and breadth of almost all competitive e...
Click here https://bit.ly/2wJs0SV to Download our Android APP to have access to 1000's of #Smart_Courses covering length and breadth of almost all competitive exams in India.
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https://wn.com/Srinivasa_Ramanujan_Biography_Part_1,_Great_Mathematician_Of_India_Who_Knew_Infinity
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SSC & Bank - This is our oldest Course, made by Founders of StudyIQ. 1000+ videos so far and new videos added every week. Download the app https://bit.ly/2wJs0SV to watch Demo Videos, Course Content, Authors, Etc.
UPSC Optionals - We have covered almost all major UPSC Optionals. Download the app https://bit.ly/2wJs0SV to watch Demo Videos, Course Content, Authors, Etc.
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- published: 18 Nov 2018
- views: 236472
34:31
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for thi...
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function.
You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg
(quite large)
You can access a scanned copy of Ramanujan's notebook here: http://http://www.imsc.res.in/~rao/ramanujan/NoteBooks/NoteBook1/chapterVIII/page3.htm
or check this out
https://books.google.co.uk/books?id=Of5G0r6DQiEC&pg=PA53&dq=gratified&redir_esc=y&hl=en#v=onepage&q=gratified&f=false
If you want to watch some other videos that deal with these strange identities I recommend the following:
https://youtu.be/0Oazb7IWzbA (a Numberphile video featuring the mathematician Edward Frenkel who is also talking about the connection between the Riemann Zeta function and Ramanujan's crazy identity.)
https://youtu.be/8hgeIDY7We4 (James Grime's video (singingbanana & Numberphile) which aims at making sense of the formula at the heart of Ramanujan summation which I only flash briefly in the last part of the video.)
https://youtu.be/XFDM1ip5HdU (a very nice 3Blue1Brown video that makes sense of the identity 1+2+4+8+ ... = –1 in a way that is totally different from the one I am talking about in this video.)
This week’s video is in response to a large number of you and my students at university asking me for my take on the whole 1+2+3+... =-1/12 business. Initially, the plan was to come up with one of my usual 15 minute long videos. However, after several unsuccessful attempts at not exceeding the magic Mathologer time limit, I realised that any “short” video like this would just be a clone of one of those wrong/misleading accounts of this topic that YouTube is full of. So, rather than just give up completely on this project I decided to do what you should never do if you actually want people to watch your videos, namely simply go for it and not look at the clock. The result – a video that is an insane 35 minutes long in which I say all the things that I think need to be said and can be said only using elementary math to (just barely) do this amazing topic justice.
Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.
Enjoy!
P.S.: If you know calculus and want to read up on all this some more, beyond what is readily available via the relevant Wiki pages and other internet resources, I recommend you read the last chapter of the book by Konrad Knopp, Theory and applications of infinite series, Dover books, 1990 (actually if you know German, read the extended version of this chapter in the original 1924 edition of the book). People usually recommend Hardy's book, Divergent series, but I'd say only look at this after you've looked at Knopp's book which I find a lot more accessible. The Hardy who wrote this book is the Hardy who I mention at the beginning of the video! Having said that, Hardy's book does have quite a bit of detail on how Ramanujan summation applies to the Zeta function; see chapters 13.10. and 13.17.
https://wn.com/Ramanujan_Making_Sense_Of_1_2_3_..._1_12_And_Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function.
You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg
(quite large)
You can access a scanned copy of Ramanujan's notebook here: http://http://www.imsc.res.in/~rao/ramanujan/NoteBooks/NoteBook1/chapterVIII/page3.htm
or check this out
https://books.google.co.uk/books?id=Of5G0r6DQiEC&pg=PA53&dq=gratified&redir_esc=y&hl=en#v=onepage&q=gratified&f=false
If you want to watch some other videos that deal with these strange identities I recommend the following:
https://youtu.be/0Oazb7IWzbA (a Numberphile video featuring the mathematician Edward Frenkel who is also talking about the connection between the Riemann Zeta function and Ramanujan's crazy identity.)
https://youtu.be/8hgeIDY7We4 (James Grime's video (singingbanana & Numberphile) which aims at making sense of the formula at the heart of Ramanujan summation which I only flash briefly in the last part of the video.)
https://youtu.be/XFDM1ip5HdU (a very nice 3Blue1Brown video that makes sense of the identity 1+2+4+8+ ... = –1 in a way that is totally different from the one I am talking about in this video.)
This week’s video is in response to a large number of you and my students at university asking me for my take on the whole 1+2+3+... =-1/12 business. Initially, the plan was to come up with one of my usual 15 minute long videos. However, after several unsuccessful attempts at not exceeding the magic Mathologer time limit, I realised that any “short” video like this would just be a clone of one of those wrong/misleading accounts of this topic that YouTube is full of. So, rather than just give up completely on this project I decided to do what you should never do if you actually want people to watch your videos, namely simply go for it and not look at the clock. The result – a video that is an insane 35 minutes long in which I say all the things that I think need to be said and can be said only using elementary math to (just barely) do this amazing topic justice.
Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.
Enjoy!
P.S.: If you know calculus and want to read up on all this some more, beyond what is readily available via the relevant Wiki pages and other internet resources, I recommend you read the last chapter of the book by Konrad Knopp, Theory and applications of infinite series, Dover books, 1990 (actually if you know German, read the extended version of this chapter in the original 1924 edition of the book). People usually recommend Hardy's book, Divergent series, but I'd say only look at this after you've looked at Knopp's book which I find a lot more accessible. The Hardy who wrote this book is the Hardy who I mention at the beginning of the video! Having said that, Hardy's book does have quite a bit of detail on how Ramanujan summation applies to the Zeta function; see chapters 13.10. and 13.17.
- published: 22 Apr 2016
- views: 3407707
11:30
163 and Ramanujan Constant - Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
More links & stuff in full description below ↓↓↓
Some slightly more...
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
More links & stuff in full description below ↓↓↓
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
NUMBERPHILE
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https://wn.com/163_And_Ramanujan_Constant_Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
More links & stuff in full description below ↓↓↓
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
NUMBERPHILE
Website: http://www.numberphile.com/
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Videos by Brady Haran
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- published: 02 Mar 2012
- views: 1772390
1:48:36
The Man Who Knew Infinity(2015) Full Movie HD||Dev Patel,Jeremy Irons,Devika Bhise
Copyright Disclaimer
Under Section 107 of the Copyright Act 1976, allowance is made for 'Fair Use' for purposes such as criticism, comment, news reporting, teac...
Copyright Disclaimer
Under Section 107 of the Copyright Act 1976, allowance is made for 'Fair Use' for purposes such as criticism, comment, news reporting, teaching, scholarship, and research, Fair use is a permitted by copyright statute that might otherwise be infringing, Non-profit, educational or personal use tips the balance in favor of fair use.
The man who knew infinity (2015) full movie HD||Dev patel,Jeremy Irons,Devika bhesi
Subscribe our channel for more videos!
Hii FRIENDS,
WELCOME TO THE PENTA FACTS 🎉
#Ramanujanfullmovie
#Themanwhoknewinfinity
#Ramanujan
#Devpatel
Ramanujan Full movie in english!
This movies is full of Ramanujan biography in english!
Here is the Movie of Ramanujan |This story is based on Real story of Ramanujan biography!
Ramanujan is the greatest mathematics | so Watch the Movie And Subscribe,Like👍And comment.
The Man Who Knew Infinity is a 2015 British biographical drama film about the Indian mathematician Srinivasa Ramanujan, based on the 1991 book of the same name by Robert Kanigel.
So subscribe The Channel And Like 👍, Comment,Share the video.
Until bye bye!
https://wn.com/The_Man_Who_Knew_Infinity(2015)_Full_Movie_Hd||Dev_Patel,Jeremy_Irons,Devika_Bhise
Copyright Disclaimer
Under Section 107 of the Copyright Act 1976, allowance is made for 'Fair Use' for purposes such as criticism, comment, news reporting, teaching, scholarship, and research, Fair use is a permitted by copyright statute that might otherwise be infringing, Non-profit, educational or personal use tips the balance in favor of fair use.
The man who knew infinity (2015) full movie HD||Dev patel,Jeremy Irons,Devika bhesi
Subscribe our channel for more videos!
Hii FRIENDS,
WELCOME TO THE PENTA FACTS 🎉
#Ramanujanfullmovie
#Themanwhoknewinfinity
#Ramanujan
#Devpatel
Ramanujan Full movie in english!
This movies is full of Ramanujan biography in english!
Here is the Movie of Ramanujan |This story is based on Real story of Ramanujan biography!
Ramanujan is the greatest mathematics | so Watch the Movie And Subscribe,Like👍And comment.
The Man Who Knew Infinity is a 2015 British biographical drama film about the Indian mathematician Srinivasa Ramanujan, based on the 1991 book of the same name by Robert Kanigel.
So subscribe The Channel And Like 👍, Comment,Share the video.
Until bye bye!
- published: 31 Jan 2020
- views: 4541688
4:49
Ancient Aliens: Ramanujan the Divine Mathematician (Season 11, Episode 5) | History
Join us at AlienCon to see your favorite experts from Ancient Aliens!
According to ancient astronaut theorists, Ramanujan, the mathematician who lived almost a...
Join us at AlienCon to see your favorite experts from Ancient Aliens!
According to ancient astronaut theorists, Ramanujan, the mathematician who lived almost a hundred years ago and whose breakthroughs helped form the basis of superstring theory and multidimensional physics, claimed to have been influenced by otherworldly beings in this clip from Season 11, Episode 5, "The Visionaries." #AncientAliens
Subscribe for more from Ancient Aliens and other great HISTORY shows: http://histv.co/SubscribeHistoryYT
Find out more about the show and watch full episodes on our site:
http://po.st/AncientAliens
Check out exclusive HISTORY content:
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"Ancient Aliens" explores the controversial theory that extraterrestrials have visited Earth for millions of years.
HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that connect viewers with history in an informative, immersive, and entertaining manner across all platforms. The network's all-original programming slate features a roster of hit series, epic miniseries, and scripted event programming. Visit us at http://www.HISTORY.com for more info.
https://wn.com/Ancient_Aliens_Ramanujan_The_Divine_Mathematician_(Season_11,_Episode_5)_|_History
Join us at AlienCon to see your favorite experts from Ancient Aliens!
According to ancient astronaut theorists, Ramanujan, the mathematician who lived almost a hundred years ago and whose breakthroughs helped form the basis of superstring theory and multidimensional physics, claimed to have been influenced by otherworldly beings in this clip from Season 11, Episode 5, "The Visionaries." #AncientAliens
Subscribe for more from Ancient Aliens and other great HISTORY shows: http://histv.co/SubscribeHistoryYT
Find out more about the show and watch full episodes on our site:
http://po.st/AncientAliens
Check out exclusive HISTORY content:
History Newsletter: http://po.st/HistoryNewsletter
Website - http://po.st/HistoryWeb
Facebook - http://po.st/HistoryFacebook
Twitter - http://po.st/HistoryTwitter
"Ancient Aliens" explores the controversial theory that extraterrestrials have visited Earth for millions of years.
HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that connect viewers with history in an informative, immersive, and entertaining manner across all platforms. The network's all-original programming slate features a roster of hit series, epic miniseries, and scripted event programming. Visit us at http://www.HISTORY.com for more info.
- published: 21 Dec 2018
- views: 3527693
50:43
SRINIVASA RAMANUJAN: The Mathematician & His Legacy
Each year, December 22nd is celebrated as the National Mathematical Day in India to commemorate the birth anniversary of the self-taught genius – Srinivasa Rama...
Each year, December 22nd is celebrated as the National Mathematical Day in India to commemorate the birth anniversary of the self-taught genius – Srinivasa Ramanujan whose work continues to intrigue, inspire and challenge mathematicians around the world. His fertile mind envisioned a world where science and mathematics converge to uncover fundamental principles governing our universe. Nearly a hundred years after his death, mathematics has slowly developed tools that are unraveling some of the secrets behind his intuitive suppositions. His oeuvre has opened up new vistas of possibilities, new branches of mathematics have sprouted and proliferated and found application in different fields of sciences, implausible in his own times. The Film brings together his life on screen, with period enactments, interviews and animation.
https://wn.com/Srinivasa_Ramanujan_The_Mathematician_His_Legacy
Each year, December 22nd is celebrated as the National Mathematical Day in India to commemorate the birth anniversary of the self-taught genius – Srinivasa Ramanujan whose work continues to intrigue, inspire and challenge mathematicians around the world. His fertile mind envisioned a world where science and mathematics converge to uncover fundamental principles governing our universe. Nearly a hundred years after his death, mathematics has slowly developed tools that are unraveling some of the secrets behind his intuitive suppositions. His oeuvre has opened up new vistas of possibilities, new branches of mathematics have sprouted and proliferated and found application in different fields of sciences, implausible in his own times. The Film brings together his life on screen, with period enactments, interviews and animation.
- published: 26 Apr 2016
- views: 1169574
21:30
"Gems of Ramanujan and their Lasting Impact on Mathematics", Ken Ono
Ramanujan's work has had a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and noteboo...
Ramanujan's work has had a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and notebooks. In Ken Ono's lecture, some of the studies of Ramanujan that are most accessible to the general public will be presented and how Ramanujan's findings fundamentally changed modern mathematics, and also influenced his work, will be discussed.
https://wn.com/Gems_Of_Ramanujan_And_Their_Lasting_Impact_On_Mathematics_,_Ken_Ono
Ramanujan's work has had a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and notebooks. In Ken Ono's lecture, some of the studies of Ramanujan that are most accessible to the general public will be presented and how Ramanujan's findings fundamentally changed modern mathematics, and also influenced his work, will be discussed.
- published: 17 Oct 2017
- views: 89746
9:31
Unplug with Sadhguru: The secret of Ramanujan’s genius
Sadhguru Jaggi Vasudev was at SRCC for the inaugural session of Youth and Truth, a month-long traveling series that will take Sadhguru to college campuses aroun...
Sadhguru Jaggi Vasudev was at SRCC for the inaugural session of Youth and Truth, a month-long traveling series that will take Sadhguru to college campuses around India including IITs, IIMs and JNU among others. Watch the Video where Sadhguru answers on The secret of Ramanujan’s genius.
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https://wn.com/Unplug_With_Sadhguru_The_Secret_Of_Ramanujan’S_Genius
Sadhguru Jaggi Vasudev was at SRCC for the inaugural session of Youth and Truth, a month-long traveling series that will take Sadhguru to college campuses around India including IITs, IIMs and JNU among others. Watch the Video where Sadhguru answers on The secret of Ramanujan’s genius.
►Subscribe to The Economic Times for latest video updates. It's free! - http://www.youtube.com/TheEconomicTimes?sub_confirmation=1
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- published: 06 Sep 2018
- views: 76909
11:43
The letter that revealed Ramanujan's genius
Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his rem...
Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his remarkable ideas. In this video we take a look at that letter and at Hardy's initial response.
Further reading/watching:
Making sense of 1+2+3+... = -1/12: https://youtu.be/jcKRGpMiVTw
YouTube Ramanujan documentary: https://youtu.be/YSOYdsaTYBU
Wolfram blog: https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/
The distribution of prime numbers: https://medium.com/cantors-paradise/the-riemann-hypothesis-explained-fa01c1f75d3f
A Gentle Introduction to Analytic Continuation: https://medium.com/cantors-paradise/a-gentle-introduction-to-analytic-continuation-c1ab92fb2ba1
Images of Ramanujan's letter (on Twitter): https://twitter.com/SrinivasR1729/status/1255366474467770369
A recent movie about Ramanujan is 'The man Who Knew Infinity' directed by Matthew Brown
0:00 - Intro
1:03 - Ramanujan's letter
8:56 - Hardy's reply
11:22 - Patron Cat of the Day
Hardy's reply letter is taken from 'Ramanujan, letters and commentary' - Bruce C. Burndt & Robert A. Rankin. Ramanujan's original letter is from the Cambridge University Archive.
Subscribe to my channel to see more videos like this: https://www.youtube.com/user/tibees
Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast: https://www.patreon.com/Tibees
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End music: Gymnopedie - Satie
✨ Music: Reconcile - Peter Sandberg
My fountain pen: https://amzn.to/338otuw
https://wn.com/The_Letter_That_Revealed_Ramanujan's_Genius
Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his remarkable ideas. In this video we take a look at that letter and at Hardy's initial response.
Further reading/watching:
Making sense of 1+2+3+... = -1/12: https://youtu.be/jcKRGpMiVTw
YouTube Ramanujan documentary: https://youtu.be/YSOYdsaTYBU
Wolfram blog: https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/
The distribution of prime numbers: https://medium.com/cantors-paradise/the-riemann-hypothesis-explained-fa01c1f75d3f
A Gentle Introduction to Analytic Continuation: https://medium.com/cantors-paradise/a-gentle-introduction-to-analytic-continuation-c1ab92fb2ba1
Images of Ramanujan's letter (on Twitter): https://twitter.com/SrinivasR1729/status/1255366474467770369
A recent movie about Ramanujan is 'The man Who Knew Infinity' directed by Matthew Brown
0:00 - Intro
1:03 - Ramanujan's letter
8:56 - Hardy's reply
11:22 - Patron Cat of the Day
Hardy's reply letter is taken from 'Ramanujan, letters and commentary' - Bruce C. Burndt & Robert A. Rankin. Ramanujan's original letter is from the Cambridge University Archive.
Subscribe to my channel to see more videos like this: https://www.youtube.com/user/tibees
Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast: https://www.patreon.com/Tibees
Buy me a coffee (one-off donation): https://ko-fi.com/tibees
Website: https://tobyhendy.com/
TikTok: https://www.tiktok.com/@tibees
Twitter: https://twitter.com/TobyHendy
End music: Gymnopedie - Satie
✨ Music: Reconcile - Peter Sandberg
My fountain pen: https://amzn.to/338otuw
- published: 14 Aug 2020
- views: 3135856
16:48
Ramanujan, 1729 and Fermat's Last Theorem
Some things you probably did not know about 1729 and the Man Who Knew Infinity.
Scan of page from Ramanujan’s Lost Notebook
http://i.imgur.com/xsfXHUz.jpg
Fer...
Some things you probably did not know about 1729 and the Man Who Knew Infinity.
Scan of page from Ramanujan’s Lost Notebook
http://i.imgur.com/xsfXHUz.jpg
Fermat’s Last Theorem by Simon Singh:
https://www.amazon.co.uk/Fermats-Last-Theorem-Confounded-Greatest/dp/1841157910/ref=sr_1_1?_encoding=UTF8&tag=stanupmath-21
PDF of the first lecture from Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work
https://dl.dropboxusercontent.com/u/50166092/Ramanujan%20-%20G%20H%20Hardy%20-%201940.pdf
Imgur album: http://imgur.com/a/KJOuV
Plus magazine “Ramanujan surprises again”
https://plus.maths.org/content/ramanujan
“The 1729 K3 Surface” by Ken Ono and Sarah Trebat-Leder
http://arxiv.org/abs/1510.00735
Generating Function -- from Wolfram MathWorld
http://mathworld.wolfram.com/GeneratingFunction.html
The Man Who Knew Infinity Official Trailer #1
https://www.youtube.com/watch?v=oXGm9Vlfx4w
Fermat's Last Theorem - Numberphile
https://www.youtube.com/watch?v=qiNcEguuFSA
Partitions - Numberphile
https://www.youtube.com/watch?v=NjCIq58rZ8I
James Grime: Knowing The Man Who Knew Infinity
https://www.youtube.com/watch?v=HMGZVKwYNfk
Mathologer: Making sense of 1+2+3+... = -1/12 and Co.
https://www.youtube.com/watch?v=jcKRGpMiVTw
Matt and Hugh play with a thing and then do some working out
https://www.youtube.com/watch?v=Q8b9r7forJA
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
Book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/
https://wn.com/Ramanujan,_1729_And_Fermat's_Last_Theorem
Some things you probably did not know about 1729 and the Man Who Knew Infinity.
Scan of page from Ramanujan’s Lost Notebook
http://i.imgur.com/xsfXHUz.jpg
Fermat’s Last Theorem by Simon Singh:
https://www.amazon.co.uk/Fermats-Last-Theorem-Confounded-Greatest/dp/1841157910/ref=sr_1_1?_encoding=UTF8&tag=stanupmath-21
PDF of the first lecture from Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work
https://dl.dropboxusercontent.com/u/50166092/Ramanujan%20-%20G%20H%20Hardy%20-%201940.pdf
Imgur album: http://imgur.com/a/KJOuV
Plus magazine “Ramanujan surprises again”
https://plus.maths.org/content/ramanujan
“The 1729 K3 Surface” by Ken Ono and Sarah Trebat-Leder
http://arxiv.org/abs/1510.00735
Generating Function -- from Wolfram MathWorld
http://mathworld.wolfram.com/GeneratingFunction.html
The Man Who Knew Infinity Official Trailer #1
https://www.youtube.com/watch?v=oXGm9Vlfx4w
Fermat's Last Theorem - Numberphile
https://www.youtube.com/watch?v=qiNcEguuFSA
Partitions - Numberphile
https://www.youtube.com/watch?v=NjCIq58rZ8I
James Grime: Knowing The Man Who Knew Infinity
https://www.youtube.com/watch?v=HMGZVKwYNfk
Mathologer: Making sense of 1+2+3+... = -1/12 and Co.
https://www.youtube.com/watch?v=jcKRGpMiVTw
Matt and Hugh play with a thing and then do some working out
https://www.youtube.com/watch?v=Q8b9r7forJA
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
Book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/
- published: 29 Apr 2016
- views: 597333