Her most memorable program for me was her 2018 program "Contagion" which modelled a virus outbreak among volunteers in the town of Haslemere, UK, using an app measuring Bluetooth proximity.
Guess which town contained the UK's Covid patient zero a year later!
And on her podcast with Vsauce she said the reason they chose that town was because their budget was so low and they could sleep over at a crew member's family there.
I thought our first confirmed case was in York, very late in January 2020, who was staying at the Staycity hotel while visiting a family member attending the University here. That hotel is just around the corner from where we do martial arts of an evening, so we were acutely aware of that bit of news. Though IIRC they were from another country, so might not count depending on how "UK's Covid patient zero" is defined.
Yeah, you're probably right. Looking back at news reports, it looks like the Haslemere case may have been the first person infected within the UK, ie they hadn't been abroad.
And didn't the NHS app use Bluetooth proximity to alert you if you'd been in contact with a COVID case early in the pandemic? A nice case of life imitating art.
It's not prophetic. Prophetic means it predicts the future, this is epidimlogical science being applied as intended. It didn't predict the future it designed it because we applied it.
Contagion used GPS logging to predict who was where an applied a random transmission risk based on that.
The actual origin of the Bluetooth proximity and duration tracking was from FluPhone back in 2010 or so[0]
Human contact networks, and epidemiology is a long standing science COVID just made that apparent for the lay public.
Quarantines have existed for centuries, contact tracing is Victorian (smallpox mostly),social distancing, It was all application of research that largely already existed.
Yes:
* That you sell a six month lockdown by saying it will take two or three weeks. You can do this several times.
* That censorship is essential.
* That any public disagreement will be responded to with terms of personal abuse.
* That you can use it to introduce/try out all kinds of other long-desired schemes like digital ID (so called passports) or increasing working from home.
It's been fun to see her steady rise since she first appeared on Numberphile more than ten years ago. She's a really excellent communicator of math and science.
Congrats Hannah. I'll pile on with my own anecdote; I've run an internal conference at work for several years and we always book an external speaker.
She remains my (close) second favourite[1], with a choose your own adventure talk about algorithms. It was genuinely great, and warm, and thoughtful (a lot of it was about the risks of algorithms, which is very relevant for us).
This was... 2021 so mid COVID (yep it was remote) and so just before she became really big. We've worked with a lot of external speakers since, many of them very good or very slick, but she was the only one that was clearly both brilliant at her topic(s) and also an exceptional communicator.
[1] For the record my favourite is Clifford Agius who is some guy I saw at a local conference who in his spare time from being a commercial pilot builds fully robotic arms for kids - he even lets them give the finger. Great guy and refused to charge us more than a few hundred quid.
> As Fry says, the limit to someone's understanding is never their ability to understand. The limit is always in their motivation to care. And she sees her role as being to provide that motivation.
> "I think what you need to do," she says about the key to connecting with a wide audience, "is to create a hole in people’s imagination. If I can create just a moment where you want to know the next bit – you know exactly the size and shape it needs to be to fulfill your craving for that exact piece of information – then everybody's in."
I wish we had more teachers that thought like this.
What I love most is that Hannah Fry didn't get into the Cambridge undergraduate(?) math program (maths programme for you Brits) but became a math professor at Cambridge. Go Hannah!
Oxford & Cambridge are very selective and entry is very competitive. Unusually for UK universities they hold a separate entrance exam for all courses. (Information about the extra admissions tests done by some universities and some courses: https://www.ucas.com/applying/before-you-apply/what-and-wher....)
Fun fact: When I applied to Cambridge I was interviewed by Mary Beard.
In maths, if you do well enough in the exam, you have to really mess up the interview to not get in though I would say. If you're borderline, the interview is important though - the interviews will usually be 95% maths questions so it's more like doing an oral exam where you have to explain your thinking process and answers.
I'm sure it probably depends on the discipline (and indeed the college, since some are harder to get into than others). I can see how this would be important in mathematics where it is hard to avoid rules and structure. In other areas, the decisions will be much more subjective.
Any elite selection process has high risk for not selecting the best people.
Either due to corruption or, even more likely, institutional biases.
Malcolm Gladwell has a few episodes of revisionist history that looks at some US universities who fall into this trap.
Even with all that said; the chances of a selection process for 17/18 year olds being able to correctly select the best future adults in their field is very low.
Another good example; the number of young geniuses or prodigies (whether maths, chess, acting etc.) who don't make anything of themselves.
Having interviewed maths applicants for Oxford, I don't think it's just corruption or biases - there are just more really bright students that you have places for and have to reject some people! We all tried really hard not be biased but I don't think there is any way to guarantee that you aren't somehow, however hard you try.
It's very hard to predict from a half hour interview precisely who will do well in future, and in fact some people might do better having gone to other universities. Oxford and Cambridge aren't the best choice for everybody - I'm sure being a bigger fish in a smaller pond suits some people better.
No judgement here. And you are right btw; we are biased constantly in everything we do, and it's a better person than you our me that can truly dodge it!
I read a study a while ago (sorry Google didn't find it again) that said a lot of exceptionally gifted people just don't apply to elite universities. Instead, the main characteristic of applicants tends to be that they are extremely driven.
Drive tends to not correlate well to long term success without talent as a companion. Therefore a lot of people at Cambridge (which I think was the example) tend to do no better than the average in later life (notably wasn't true for PPE grads obviously)
Did Malcolm Gladwell ever address the lack of scientific rigor in his work, or does he still roll with whatever narrative he thinks will entertain and sell?
She is great at popularity regarding mathematics, but her achievements do not seem to be primarily within hardcore mathematical research, more within popularity and communication.
> She is the first Professor of the Public Understanding of Mathematics at the University of Cambridge,
I am not sure that she is a "math professor", but that she is a "professor of the public understanding of mathematics". The latter seems softer.
She was a professor in the mathematics of cities (applied spatial mathematics) before that — in her early thirties.
She is an expert in applied mathematics (president of the applicable UK institute, actually) and this is absolutely of a piece with that; it's not some wishy-washy thing that she does.
Public understanding of science has proved to be a valuable field, and I think this will be important. Her Oxford opposite number, arguably, is Marcus du Sautoy, who has the Public Understanding of Science professorship that was originally created for Dawkins.
> She was a professor in the mathematics of cities (applied spatial mathematics) before that — in her early thirties.
But, that was not at Cambridge, which is what the original post by vgivanovic claimed, right? It was at University College London.
> Public understanding of science has proved to be a valuable field,
I never contested that, assuming that it is done responsibly and well. But that field, as well as a large proportion of her activities and work, as well as the title "Professor of the Public Understanding of Mathematics", seem softer and less hardcore than many other titles for professors regarding mathematics.
A field can be both soft and valuable, assuming the field is handled responsibly and well.
> president of the applicable UK institute
A president is not primarily a researcher, right? More about external relations, strategy, management, etc., as far as I know. Mentioning her being a president weakens your argument, and strengthens my argument, as far as I can tell. There are other former presidents of that institute that likewise have had a more educational focus instead of hardcore research focus, like Celia Hoyles as far as I can tell.
> She is an expert in applied mathematics
She does have a PhD, but apart from that, her research work has been more focused on softer topics as far as I can tell. Do you know of any work after her PhD that was more hardcore research? The publications I found were more soft, like "The Indisputable Existence of Santa Claus (2015)", a few years after completing her PhD.
Do you know if she has been employed in the private sector regarding what one could perceive as more hardcore research or engineering? She seems to be very hardworking and active, and have written a lot of books and worked with a lot of movies and other media, apart from being a president of an institute and being a professor, so it would be impressive if she also found both time and energy for hardcore research. I don't know if other professors would be able to take on that many challenges at once. She cannot be described as lazy by any means.
Etc etc. That’s papers in Nature, The Lancet, The European Journal of Applied Mathematics etc. If you actually searched you would have found tons and tons of papers and citations. She clearly does “hardcore” research by any reasonable definition as you would expect given she has been for some time a professor at UCL which is a top-tier university.
There are examples like Stephen Hawking, and he did truly impressive work in hardcore science as far as I know, despite the challenges and obstacles that he had in life. Hannah Fry has done a lot of soft work, lots of books and other media, lots of activity, a very hardworking person, and very skilled at popularity work. But that does not change my impression that her focus is not really on hardcore science.
The medrxix example is a preprint, not peer-reviewed. Why did you not point that out? And her name appears second-to-last in the authors' list.
The Lancet example is some BBC stuff, and has her name appear down near the end of the authors' list. And the contributors' section does not seem to list her as a primary author, she did not design the analysis, nor develop the model.
The Nature example indicates in the Author Contributions section that she only did some additional contributions, nothing core. Her name is not near the start of the long list of authors.
That leaves the 2 papers from 2013 and 2016, closer to the beginning of her career. Her name does not appear first in either, but she was presumably a major author in both.
The spatio-temporal aspects of some of the papers seem neat.
There is an annoyingly large amount of statistics involved, and statistics is again one of those fields that do not always have the best of reputations ("lies, damned lies, and statistics"). In part because statistical models, results, etc. can be difficult to verify the correctness of. Unlike for instance some kinds of experimental physics, where if something is wrong, the experiment can easily fail in many cases. Or in multiple kinds of engineering, where if something is wrong, there can be very practical consequences, and those consequences are often encountered sooner rather than later. In my experience, physicists are often better than mathematicians at mathematics, in part because phycisists cannot as often bullshit their way through things, which filters people and also lets phycisists test, train and improve themselves. Ironically, proper statistics is in some ways harder because of this than some other disciplines, because statistics requires greater honesty, discipline and competence due to statistics often being difficult to verify correctness of.
Also consider stuff like the reproducibility crisis and various scandals:
Nothing among the papers you listed that really seems to push the boundaries of science. A lot of models, statistics, data gathering and such.
Do you have more papers? With this admittedly tiny selection, excluding the preprint stuff, she seems to have done more research work earlier in her career, and none of the examples list her as the first author.
I actually have a worse impression of her now that I have seen the papers you listed. Ignoring the preprint paper you listed.
You’re not exactly making the best impression here. This is such a bizarre thread. You have nit-picked someone’s choice of words into an extraordinary series of implicit slights against someone who has won a prize for the very thing at which she excels, and you really are inviting a lot of theories as to why; very few of them favourable.
I believe that most or all of your comment is completely wrong, sorry.
Either way, do you really believe that her achievements are primarily within hardcore mathematical research, and not more within popularity and communication? As I was skeptical about in the first post? There are also other arguments that I made that have not been addressed as far as I can tell.
I’m a big fan of her current podcast - The Rest Is Science. Informative and entertaining as well as being easy to listen to (I’m not a fan of many audio-only shows, so listenability is a big factor for me)
I really like her, but man I find Michael unbearable.
It also just feels too fake to me. I know they already knew the info they just had a strong reaction to, but they're reacting strongly on purpose for the sake of being engaging. I didn't find it annoying to start with, but it got more grating as I tried more episodes.
I recall in one episode she says "That's amazing" or something to that effect, to a fact regarding fluid dynamics. She has a PhD in fluid dynamics. She already knew whatever that fact was.
But I mean, fluid dynamics is amazing. It still gives me frisson when certain ideas are reminded to me. I think she's completely honest with reactions, she loves science. Many of us share her enthusiasm and I love seeing hers.
I really love Hannah, great communicator and keeps it interesting. If you're interested, I'd also recommend Brian Cox as a similarly fantastic representative for maths & science.
Completely agree. I’d recommend her book “Hello world: How to be human in the age of the machine” to anyone who isn’t familiar. It’s one of those books where even if you know about programming, AI etc it’s worth reading because she hasn’t dumbed down the content even though she’s made it accessible to folks who don’t.
Fun fact: I heard an interview with her and she said she got into maths because her family are all crazy about Formula One racing and she thought working on the aerodynamics etc would be interesting. She eventually got her “dream job” working on aerodynamics of F1 cars and found it really boring because she didn’t really get to do maths, all she did was write python simulations, leave them to run overnight and read the results in the morning, so she phoned her supervisor (who had worked his personal contacts to introduce her for the F1 job) and went back to working in his lab.
I met her when she gave a lecture in London about algorithms as part of a promotional tour for the book.
We chatted about Ada Lovelace (a topic she also did a documentary about for the BBC) and she was exactly the same in person as her personality is on the TV / Radio / Podcasts.
That was definitely a highlight of that year for me.
Curious cases with Adam rutherford was most excellent. They appeared to be great friends and spent a lot of the time taking the piss out of each other and doing great explanations. The ones with Dara are ok, but not as good.
She has an actor's control of her countenance, which allows her control over that mischievous, slightly conspiratorial tone she uses when she wants you to know something really fun, or be excited by some knowledge.
I love to recommend this charming little clip from a fun sort of "science of Christmas" short film for kids she appeared in with the brilliant Lenny Rush:
She is one of my favourite humans. Clever, witty, funny, hot and on the top I love the (timbre of) her voice. I listen to it on the podcast that she does with Michael Steven (The Rest is Science).
The Leelavati Award is an award for outstanding contribution to public outreach in mathematics. It is named after the 12th-century mathematical treatise "Lilavati" devoted to arithmetic, algebra, and the decimal system written by the Indian mathematician Bhāskara II, also known as Bhaskara Achārya. In the book the author posed, in verse form, a series of problems in (elementary) arithmetic to one Leelavati (perhaps his daughter) and followed them up with hints to solutions. This work appears to have been the main source of learning arithmetic and algebra in medieval India. The work was also translated into Persian and was influential in West Asia
interestingly you are starting to see a similar emphasis on outreach in tech these days with "forward deployed engineers" and "ai developer relations". Good to know people realize outreach is important. cheers and celebrations to professor fry!
Her tiktok channel is one of my favorites. Her ability to tell a maths story in such a clever way has always given me pause to watch. Congratulations to such a gifted communicator!
Her most memorable program for me was her 2018 program "Contagion" which modelled a virus outbreak among volunteers in the town of Haslemere, UK, using an app measuring Bluetooth proximity.
Guess which town contained the UK's Covid patient zero a year later!
Edit: found it here https://youtu.be/yISdMLbO0Wc?is=T-Tq9LwzLgbusuoe
Hannah Predicted a Pandemic | The Rest Is Science
The second one also managed to predict the use of trusted media and keeping intercontinental flights going throughout the pandemic.
I thought our first confirmed case was in York, very late in January 2020, who was staying at the Staycity hotel while visiting a family member attending the University here. That hotel is just around the corner from where we do martial arts of an evening, so we were acutely aware of that bit of news. Though IIRC they were from another country, so might not count depending on how "UK's Covid patient zero" is defined.
Contagion used GPS logging to predict who was where an applied a random transmission risk based on that.
The actual origin of the Bluetooth proximity and duration tracking was from FluPhone back in 2010 or so[0]
Human contact networks, and epidemiology is a long standing science COVID just made that apparent for the lay public.
Quarantines have existed for centuries, contact tracing is Victorian (smallpox mostly),social distancing, It was all application of research that largely already existed.
[0] https://www.cl.cam.ac.uk/research/srg/netos/projects/archive...
The hardest part of a 5 day snap lockdown are the first 10 weeks.
* That censorship is essential.
* That any public disagreement will be responded to with terms of personal abuse.
* That you can use it to introduce/try out all kinds of other long-desired schemes like digital ID (so called passports) or increasing working from home.
https://www.youtube.com/watch?v=rudzYPHuewc
https://www.youtube.com/watch?v=yFVXsjVdvmY
And when she straight laughs in Michael Steven's face about the price of a pencil.
https://youtu.be/SfY2JACiDGU?si=fKSkb3zpjZUQqUTx&t=1629
She remains my (close) second favourite[1], with a choose your own adventure talk about algorithms. It was genuinely great, and warm, and thoughtful (a lot of it was about the risks of algorithms, which is very relevant for us).
This was... 2021 so mid COVID (yep it was remote) and so just before she became really big. We've worked with a lot of external speakers since, many of them very good or very slick, but she was the only one that was clearly both brilliant at her topic(s) and also an exceptional communicator.
[1] For the record my favourite is Clifford Agius who is some guy I saw at a local conference who in his spare time from being a commercial pilot builds fully robotic arms for kids - he even lets them give the finger. Great guy and refused to charge us more than a few hundred quid.
> "I think what you need to do," she says about the key to connecting with a wide audience, "is to create a hole in people’s imagination. If I can create just a moment where you want to know the next bit – you know exactly the size and shape it needs to be to fulfill your craving for that exact piece of information – then everybody's in."
I wish we had more teachers that thought like this.
Fun fact: When I applied to Cambridge I was interviewed by Mary Beard.
Either due to corruption or, even more likely, institutional biases.
Malcolm Gladwell has a few episodes of revisionist history that looks at some US universities who fall into this trap.
Even with all that said; the chances of a selection process for 17/18 year olds being able to correctly select the best future adults in their field is very low.
Another good example; the number of young geniuses or prodigies (whether maths, chess, acting etc.) who don't make anything of themselves.
It's very hard to predict from a half hour interview precisely who will do well in future, and in fact some people might do better having gone to other universities. Oxford and Cambridge aren't the best choice for everybody - I'm sure being a bigger fish in a smaller pond suits some people better.
I read a study a while ago (sorry Google didn't find it again) that said a lot of exceptionally gifted people just don't apply to elite universities. Instead, the main characteristic of applicants tends to be that they are extremely driven.
Drive tends to not correlate well to long term success without talent as a companion. Therefore a lot of people at Cambridge (which I think was the example) tend to do no better than the average in later life (notably wasn't true for PPE grads obviously)
that's a complete sentence already
https://www.quora.com/What-are-some-claims-by-Malcolm-Gladwe...
> She is the first Professor of the Public Understanding of Mathematics at the University of Cambridge,
I am not sure that she is a "math professor", but that she is a "professor of the public understanding of mathematics". The latter seems softer.
She is an expert in applied mathematics (president of the applicable UK institute, actually) and this is absolutely of a piece with that; it's not some wishy-washy thing that she does.
Public understanding of science has proved to be a valuable field, and I think this will be important. Her Oxford opposite number, arguably, is Marcus du Sautoy, who has the Public Understanding of Science professorship that was originally created for Dawkins.
But, that was not at Cambridge, which is what the original post by vgivanovic claimed, right? It was at University College London.
> Public understanding of science has proved to be a valuable field,
I never contested that, assuming that it is done responsibly and well. But that field, as well as a large proportion of her activities and work, as well as the title "Professor of the Public Understanding of Mathematics", seem softer and less hardcore than many other titles for professors regarding mathematics.
A field can be both soft and valuable, assuming the field is handled responsibly and well.
> president of the applicable UK institute
A president is not primarily a researcher, right? More about external relations, strategy, management, etc., as far as I know. Mentioning her being a president weakens your argument, and strengthens my argument, as far as I can tell. There are other former presidents of that institute that likewise have had a more educational focus instead of hardcore research focus, like Celia Hoyles as far as I can tell.
> She is an expert in applied mathematics
She does have a PhD, but apart from that, her research work has been more focused on softer topics as far as I can tell. Do you know of any work after her PhD that was more hardcore research? The publications I found were more soft, like "The Indisputable Existence of Santa Claus (2015)", a few years after completing her PhD.
Do you know if she has been employed in the private sector regarding what one could perceive as more hardcore research or engineering? She seems to be very hardworking and active, and have written a lot of books and worked with a lot of movies and other media, apart from being a president of an institute and being a professor, so it would be impressive if she also found both time and energy for hardcore research. I don't know if other professors would be able to take on that many challenges at once. She cannot be described as lazy by any means.
https://www.nature.com/articles/srep01303
https://www.thelancet.com/article/S1473-3099(20)30457-6/full...
https://www.nature.com/articles/s41591-024-03164-7
https://www.medrxiv.org/content/10.1101/2020.02.16.20023754v...
https://www.cambridge.org/core/journals/european-journal-of-...
Etc etc. That’s papers in Nature, The Lancet, The European Journal of Applied Mathematics etc. If you actually searched you would have found tons and tons of papers and citations. She clearly does “hardcore” research by any reasonable definition as you would expect given she has been for some time a professor at UCL which is a top-tier university.
She is a properly impressive person who warrants no shade, but it never surprises me to see it.
The Lancet example is some BBC stuff, and has her name appear down near the end of the authors' list. And the contributors' section does not seem to list her as a primary author, she did not design the analysis, nor develop the model.
The Nature example indicates in the Author Contributions section that she only did some additional contributions, nothing core. Her name is not near the start of the long list of authors.
That leaves the 2 papers from 2013 and 2016, closer to the beginning of her career. Her name does not appear first in either, but she was presumably a major author in both.
The spatio-temporal aspects of some of the papers seem neat.
There is an annoyingly large amount of statistics involved, and statistics is again one of those fields that do not always have the best of reputations ("lies, damned lies, and statistics"). In part because statistical models, results, etc. can be difficult to verify the correctness of. Unlike for instance some kinds of experimental physics, where if something is wrong, the experiment can easily fail in many cases. Or in multiple kinds of engineering, where if something is wrong, there can be very practical consequences, and those consequences are often encountered sooner rather than later. In my experience, physicists are often better than mathematicians at mathematics, in part because phycisists cannot as often bullshit their way through things, which filters people and also lets phycisists test, train and improve themselves. Ironically, proper statistics is in some ways harder because of this than some other disciplines, because statistics requires greater honesty, discipline and competence due to statistics often being difficult to verify correctness of.
Also consider stuff like the reproducibility crisis and various scandals:
https://news.ycombinator.com/item?id=48568058
https://news.ycombinator.com/item?id=42284173
Nothing among the papers you listed that really seems to push the boundaries of science. A lot of models, statistics, data gathering and such.
Do you have more papers? With this admittedly tiny selection, excluding the preprint stuff, she seems to have done more research work earlier in her career, and none of the examples list her as the first author.
I actually have a worse impression of her now that I have seen the papers you listed. Ignoring the preprint paper you listed.
You’re not exactly making the best impression here. This is such a bizarre thread. You have nit-picked someone’s choice of words into an extraordinary series of implicit slights against someone who has won a prize for the very thing at which she excels, and you really are inviting a lot of theories as to why; very few of them favourable.
Either way, do you really believe that her achievements are primarily within hardcore mathematical research, and not more within popularity and communication? As I was skeptical about in the first post? There are also other arguments that I made that have not been addressed as far as I can tell.
It also just feels too fake to me. I know they already knew the info they just had a strong reaction to, but they're reacting strongly on purpose for the sake of being engaging. I didn't find it annoying to start with, but it got more grating as I tried more episodes.
I recall in one episode she says "That's amazing" or something to that effect, to a fact regarding fluid dynamics. She has a PhD in fluid dynamics. She already knew whatever that fact was.
The video version is also a lot of fun to watch while doing dishes
Correction: $292 less than the Fields, I went through too many layers of currency conversion. Still, it's nearly the same.
Fun fact: I heard an interview with her and she said she got into maths because her family are all crazy about Formula One racing and she thought working on the aerodynamics etc would be interesting. She eventually got her “dream job” working on aerodynamics of F1 cars and found it really boring because she didn’t really get to do maths, all she did was write python simulations, leave them to run overnight and read the results in the morning, so she phoned her supervisor (who had worked his personal contacts to introduce her for the F1 job) and went back to working in his lab.
We chatted about Ada Lovelace (a topic she also did a documentary about for the BBC) and she was exactly the same in person as her personality is on the TV / Radio / Podcasts.
That was definitely a highlight of that year for me.
https://www.bbc.co.uk/programmes/m001qw8x/episodes/downloads Is really rather good, its a long form version of her corporate speeches
https://www.bbc.co.uk/programmes/b07dx75g/episodes/downloads...
Curious cases with Adam rutherford was most excellent. They appeared to be great friends and spent a lot of the time taking the piss out of each other and doing great explanations. The ones with Dara are ok, but not as good.
https://www.youtube.com/watch?v=rudzYPHuewc
https://www.youtube.com/watch?v=_q4DrUHKC0Q
https://www.youtube.com/show/VLPLqq4LnWs3olV_z1ZXBSDTbcXEBNO...
She has an actor's control of her countenance, which allows her control over that mischievous, slightly conspiratorial tone she uses when she wants you to know something really fun, or be excited by some knowledge.
I love to recommend this charming little clip from a fun sort of "science of Christmas" short film for kids she appeared in with the brilliant Lenny Rush:
https://www.youtube.com/shorts/MMZ_FCIgEEo
I did like a quadruple-take then totally non-covertly took a photo to add their life-essence to my celebrity collection.
* Google DeepMind in LON
1) Leelavati Award - https://en.wikipedia.org/wiki/Leelavati_Award
The Leelavati Award is an award for outstanding contribution to public outreach in mathematics. It is named after the 12th-century mathematical treatise "Lilavati" devoted to arithmetic, algebra, and the decimal system written by the Indian mathematician Bhāskara II, also known as Bhaskara Achārya. In the book the author posed, in verse form, a series of problems in (elementary) arithmetic to one Leelavati (perhaps his daughter) and followed them up with hints to solutions. This work appears to have been the main source of learning arithmetic and algebra in medieval India. The work was also translated into Persian and was influential in West Asia
2) Līlāvatī (the work itself) - https://en.wikipedia.org/wiki/L%C4%ABl%C4%81vat%C4%AB