@@thespectrum630 I didn't want to say better or more influential, but impressive because the rare it is, there is a lot of mistery, it function like nothing else or it appears. Of course i value more the weight of Newton, Socrates, Einstein, Kant, etc.
@@thespectrum630 Gauging minds is a foolish concepts as there is no deterministic metric to say what is a "greater" mind, at the end of the day what you find impressive is subjective furthermore what people pursue is based on their ambitions, passions, dreams and not something as meaningless as fame seeker.
After seeing this book, I am just blown away by how Ramanujan was able to teach himself! I would have no hope! The talent and genius of some people will always amaze me. Thanks for sharing.
@@sumdumbmick I think he meant that a normal human would be able to learn a good amount of math from this book but wouldn't get Ramanujan level math skills and invent formulas which coulf be used to calculate black holes' behaviors before the discovery of black holes lol. I mean some people are just absurd, look at Newton, that man spent basically all of his life studying everything from philosophy and science, and 3 centuries later basically all of high school level physics is Newtonian physics, like wtf is your brain even running on neurons or is it made of alien strata lol.
Actually Ramanujan dedicated his mathematical contribution to his ishta devi( local deity/goddess of that area) Mahalakshmi of Namakkal. He claimed that it was her who showed him glimpses of mathematical equations in dreams. That's why Ramanujan also said that an equation which doesn't represent the idea of God isn't worth it.
@@vaibhavyadav9912 Yeah if you look at most mathematical great thinkers they were also philosophers and mystics. That's were we get the Indo-Arabic number system from mostly Sufi philosophers and Hindu Philsophers. Also Pythagoras spent time learning in Egypt (some also say babylon) like most greek philosophers, that's were the hermetic tradition of philosophy comes from and great greek philosophers also spent time in Egypt, like Plato, and egypt had to have some pretty great math to build pyramids which stand till this day, so that's probably were Pythagoras got the theorem which we attribute to him. And the figure of Pythagoras is riddled with mysteries, some historians even think he wasn't even a person because he was considered to be a leader of an order (kinda like freemasonry but greek lol) so Pythagoras might be a group of people under an initiatic name. I've talked about Plato and he also was a mystic and he made some math with the Platonic solids etc... If you look closely at for example the middle ages university course it was composed of the trivium (logic rhetoric and grammar) and the quadrivium (geometry, arithmetic, harmonics/music and astronomy) and as hermetic philosophy was pretty significant they would have a type of knowledge called "Sacred knowledge" (because the hermetics believed "As Above so Below" so we humans are made in the image of god, and the methods we use to measure the earth can be used to experience divinity) so they would have things like Sacred Geometry, Sacred Astronomy (astrology the like) etc... Going more modern, Newton was a christian, he was obsessed with rebuilding the temple of solomon and studied closely the measures of the temple described in the bible (sacred geometry), he also was apperently into kabbalah and more mystical things, and he was working on a second book on philosphy while doing his book on math. All this to say that math probably has some mystic origins on some guys who would go into deep meditation and come out with some cool numbers which described the universe, which is quite indicative of the way Pythagoras thought, that numbers were gods and holy in and of themselves.
DISCLAIMER: Individual mathematical prowess gained from reading this book may vary. The publishers in no way guarantee the ability to derive freakish mathematical identities after use.
But Prowess gained from reading "Vedas" don't vary. The publishers (bra hmins) of "Vedas" guarantee ability to derived freakish "all Inventions" after used!
@@jkshallinheritearth3883 Studying Vedas definitely activates both sides of the brain equally well and learning a musical instrument also helps in thid process like piano, Violin and percussion instruments like Mridangam,a South Indian Drum
Stealing his work was impossible because his notebook came without the proofs. 😄 If Hardy steals Ramanujan's notebook and claims it as his own, then people will ask Hardy for proof.😆 Ramanujan held the proof in his head, and he wrote only the final result in his notebook.
Ramanujan was much more than genious ,its like mathematics was generating in his mind .His many theorem are still beyond understanding of us.i wonder what more he would have come up with if lived more .He is definitely pride of my country India.
India has many great mathematicans and physicists, also programmers, engineers. From Ireland, I watch their channels. I might not understand their languages, but I can see what they are doing on boards.
@@pinklady7184 Actually i like engineering videos america and europe based. They look more interesting. I prefer to attend engineering classes offline from the professors in India.
He is followed three books which I came to know when I visited Pachayapasa College, where he was once lecturer. All the three books by SL Loney. The same SL Loney books were prescribed in Madras University upto 1943. The same was adopted by Berhampur University upto 1984.
The beauty of the book is it gives explicit proofs and doesn't waste time. BEAUTIFUL geometric picts as well. Most modern math texts dumb down content, or go too advanced to show off without proofs they leave as exercises (and probably are too lazy to show and know), pad paper to fill some administrative quota by a cynical publisher caring only about profit, and bore students before they have a chance to learn the good stuff that would inspire.
I've got that book (BOTH volumes of it) in my collection of historically significant mathematical works here at home. I bought it online from a book dealer in India--from whence Ramanujan came and he's one of my all-time math heroes from history!! 🙂 Thank you, MS, for discussing it on your channel, MS!! ❤
It is quite amazing how anyone born in this day and age, if they want to learn something, not just math ... absolutely anything, the sheer amount of information resources we have and the access to it because of how long civilisation has been in existence etc.
The big catch is "if they want to learn something" ... I call them "nuggets on CZcams" ... basically free gold ... "if you want to learn something". BTW: was all thumbs at one point ... now a pretty good handyman thanks to CZcams (non mathematical nugget ... but I do math too).
As a university level mathematician myself, I have to emphasize just how insanely genius you need to be in order to not only understand high level pure maths but be making breakthroughs in the fields, all without any formal education or access to mathematical textbooks. Its almost more impressive than anyone else because he did everything solely based on his own brainpower.
Ramanujan was a devout Hindu, one of the things he suposedly said was:" my godess bleeds mathematics". I heard that some of the mathematics that he came up were fundamental for the understanding of blackholes.
I stay near to his place. He is a whole another level genius who lived a short life. I treat him as an idol. He is my biggest motivation to pursue pure science. Great respect to you for telling us about this legendary book
The movie "The Man Who Knew Infinity" was great. Very moving story and really gives you an appreciation for just what a genius Ramanujan really was. I'd say calling him a "genius" is under-stating things, TBH. Anyway, if you like math and mathematicians, I'd put "The Man Who Knew Infinity" right up there with "A Beautiful Mind" as a must-watch movie.
I think he used the book to come up with self made questions and solutions on his own. He had a affinity for pattern pathfinder and not being intitutionalised he could take the book at his pace. But really, he just loved numbers so much it was like a fun activity. All the wonderful number patterns he might have found had his health not worsened.
Spherical trigonometry is still taught in certain programs, for example in nautical academies. I did my bachelor's thesis on the applications of spherical trigonometry in navigation.
Dear Professor thank you for sharing this video. Your review of this book has refreshed some good old mathematical memories: Cardan's method of solving a general cubic equation, arithmetic/geometric/harmonic progressions and tables of logarithms/trigonometric/exponential and other functions. I studied Cardan's method in first semester of my B.E. (Computer Systems Engineering) here in Karachi, Pakistan in 1986. I was intrigued when I heard your comment that it is no longer taught in college courses. The arithmetic/geometric/harmonic progressions and tables of mathematical functions were part of our Mathematics courses in high school. Although the use of electronic calculators were allowed but we were taught about the use of these tables of mathematical functions also.
I looked through this book years ago when I found a copy in the UK and bought it. Ramanujan said he got his ideas from a deity and I believe that as much as he learned it all through this book. In the old days in India there were multitudes of English bookstores full of university press books. While he may have got his early education from this little volume, I suspect he went much further in his reading and studies before he wrote Hardy his famous letter.
could be. He may be belong to ancient builder class of people, who are the architects of ancient temples in India. Their mathematical formulations are different than modern mathematics. Those were probably like mantras of different God.
Very well reviewed ….nothing much to add about Ramanujan than what has already been said in the literature, among the greatest geniuses of Math across history and sadly deserves more celebration in India than he gets, probably because he was and continues to be so esoteric and little understood except by mathematicians….so definitely credit to GH Hardy too, for getting him over to England and letting his light shine out to the whole world…..definitely qualifies for among the good things the Brits did in India….
When Hardy & Littlewood received that first incredible letter from Ramanujan they were astonished not only at it's brilliance (the theorems were created either by a conman or a true genius!), but at the complete lack of proofs for the theorems. This lay in the fact that Carr's book was really nothing more than a large, disparate collection of theorems with little or no proofs. Also, Ramanujan seemed to be entirely deficient in his knowledge of Real or Complex Analysis; again, which related back to Carr, or indeed, even the concept of a proof! What is astonishing about Ramanujan is were on earth did he get his strange "mathematical poems" from? He claimed it was from the Goddess Namagiri, but surely that belittles himself but also humanity in general for being able to produce such true unadorned genius. The big question which forever remains, and is as true of Mozart - what would they have produced if they had lived beyond their criminally short life spans? We shall never know! Much effort has been spent over the ensuing 100 years to prove some of his most intractable theorems, with the mathematician Bela Bollobas probably spending too much time on the task. There was even a journal which specialised in analysing & developing his theorems, but I think that journal folded!
RAMANUJAN was not just a GREAT mathematician but also he was such a HUMBLE and HONEST man , he was always DOWN to earth...... thank you SIR for sharing this one .......👍
Greetings Mr.Professor, Thanks for the Wonderful Share of Ramanujan,The Magnanimous Mathematician who is Way Ahead in Past, Present & Future Period in The Mathematical Expertise in all aspects. With regards, RanjithJoseph (R.J)
i recently published a very brief biography of Ramanujan on Medium (not a plug). One of the things that struck me is that, outside of the Mathematics World, he's not well known. I learned of him through reading about the Interesting Number paradox and the reference mentioned his conversation with Hardy about the Taxi Cab Number. Amongst the tragedies of his life (other than his death at just 32 from complications of tuberculosis) that, because he could only access older books (Carr's book was half a century out of date when he was given it), he often expended a lot of time and effort proving things that had already been proven or going down blind alleys that others had thoroughly explored decades before. Coming to the notice of the Indian Mathematical Society certainly seems to have helped him , even if one of the founders, Ramachandra Rao, did describe him as "uncouth and not overly clean, with one conspicuous feature, shining eyes" (bear in mind that this is from someone who liked him and helped him to find work and mentors). This led to working along side people with ties to English universities who shared his work with their own mentors and eventually led to him sending his work to Hardy. Ramanujan seemed very focused on mathematics to the exclusion of all else, this lead to him losing two university places in his teens because, whilst he aced the mathematics exams, he barely studied for the other subjects. Reading between the lines of what I could find on him, I did wonder if he was neurodiverse (I'm neurodiverse myself). That total focus on one topic and becoming expert is a classic feature of many neurodiversities, as is high intelligence.
I am an 11 grader and facing difficulties in maths plz make a separate video for how can develope problem solving skill and when I understand the concept and easily solve the problem but after some days I forget the concept and the numerical . So how can retain not memorise after understanding the concepts
Hello to the great math sorcerer. Can you make a video on financial mathematics? I mean the great books we can read to reach 100. Many thanks to you for all the great content that you put out.
Great video! I'm a fan of Ramanujan, this really helps me understand the mysterious genius. ALSO: I'm an ameteur used book dealer, I can't find ANY first edition examples of this book for sale anywhere, even using the dedicated book search engine ADDDALL or eBay, even in completed sales. Of course there are some examples in libraries, but dang! Rarity usually correlates with price. Now I want to find one in a rummage sale xD
All of Ramanujan's theorems have now been established. In 2018 Andrews and Berndt published "Ramanujan's Lost Notebook, Part V" which completed the publication of theorems left by Ramanujan. (The only results of Ramanujan not proved are those that are false.🤣)
Dear Sir, excellent introduction. These two volumes have very original tastes. Have you ever also come across anything parallel but in Physics? Please advise.
This book is also a download on Internet Archive in several formats. Completing the square is so much easier. I found out about it from one of the numerous books I studied from in the library after class.
I always think he belongs to temple building community. If you visit his birth city Trichy, you will see the very mathematically perfect temples with unique properties. For example, Sri Ranganathaswamy Temple. People just ignore these facts that ancient people were mathematically fantastic. They may have used mantras for formulation rather than the modern techniques.
haha, literally just got negative 3 marks in maths (of this year Jee adv ..) !! I just thought I was gonna clear the cutoff at least !! Studied for 2 years from sets & functions to differential eq^n , from straight line to hyperbola, from P&C to probability ..... but just messed up everything !!
You don't just pick up a serious textbook with zero foundation and just manage to crank through it successfully. Ramanujan must've gotten a solid mathematical foundation from a great teacher, no one can convince me otherwise. No one is born with knowledge. Raw intelligence, does not equal knowledge, it's only useful if some means of initial rudimentary teaching gets the ball rolling first. This teacher can very well be some super didactic text, rather than an actual human teacher, but textbooks of high math/science, are definitely not great teachers for the complete beginner. He had another teacher who got the ball rolling first, I'm convinced of it.
He repeatedly and adamantly maintained the claim that his intuition was because of his goddess Namagiri that helped him through his dreams. He was adamant with this, but most people overlook this supernatural side of his story because their brains can't rationalize it.
@@Ghostrider-ul7xn well Georg Cantor too, as great as he was, said some pretty weird stuff as well. Even went to the nuthouse. But this may be different, he might just be simply religious. Lord Kelvin, was also like that, and no one can deny his scientific prowess. Heck so was Isaac Newton. Or a modern example, James Tour. Religious belief and motivation seriously aids in scientific discovery, way more often than not apparently.
@@AhirZamanSairi I don't think we are in a position to simply brush off his claims as him simply being "religious". There's literally no other way you can explain the source of his knowledge, especially with little to no proofs. I'm not sure why people have this knee jerk reaction to completely dismiss any extraordinary cases just because they didn't get to experience it. Why do we have this implicit assumption that the reality as we know it doesn't involve the supernatural? That's a flawed assumption.
I totally agree with you 👍 Without someone teaching you the basics you can't and won't understand further cuz math is a chain knowledge. Everything else is pure bs.
One who knows the "abc.." of things, can write ✍️ stories easily. As larger or more complex problems are just built up of simpler one's! So mastered this book 📚 problems... N others... Rest is history! Jai hind 🙏🏼
Hi, math sorcerer i hope you haven't forgotten about my request on book for learn math start to finish but more affordable line of books elsewhere especially in india
What are we to make of Ramanujan's claim that mathematical ideas were sent to him in his sleep by the Goddess? That was the conventional wisdom of his time and place (19th century Madras), when the concept of the unconscious mind had not yet become part of popular culture. Other great and not so great thinkers have had the experience of sleeping on a problem and waking with a solution, or working it out during a dream. Depending on your world-view (or religion) you can explain it as a gift from the gods, a infusion from the collective unconscious or the product of your own mind. Mathematical reasoning during sleep fits better with J F Herbart's ideas of different perceptions combining with existing ideas to become strong enough to break through into conscious awareness than Freud's and Jung's schemata.
Looking at this book it seems like a lot of knowledge is presented, but not much of it is proven. That's of course fine, since this appears to be a reference book and not a school book, but it goes some ways to explain how Ramanujan managed to get his in-depth knowledge and intuition without learning how to prove.
I am an Indian and I have become a fan of you really and I am a teen I would like to suggest a book review of 'Class 11th mathematics Of NCERT'. This is an Indian maths government textbook and it is the most basic book in our country for starting with differentiation. After that you can give a book review of class 12 NCERT maths textbooks part 1 and 2, that introduce basics of calculus to Indian students in School
I think this book was written with no pedagogic purpose in mind and is really a relic of its times... It looks like a directory of known results in an age when Wolfram MathWorld, Google Scholar, and Wikipedia didn't exist : )
Not quite college. THe content is rather high-school leveled. The volume two, however, is college leveled. The second part of the book is mostly about calculus.
Libro notevole per la difesa dei diritti civili e umani penso che la dignità delle persone sia piu importante come la libertà e la democrazia. La casa democratica super forte . Potente e passionale.
Ramanujan did most of the work on his own ingenuity, this book simply happens to be a gateway to teach him a couple techniques, which he expounded on and even worked on other problems later.
Thanks man ❤️❤️❤️🙏🙏 you have done a great review far beyond my expectations great job always grow( y=e^x) I mean exponentially 😂❤️❤️❤️❤️ love from india brother👍👍👍👍🙏🙏🙏❤️❤️🔥🔥
A friend sent me a link to a vid about Ramanujan. I laughed because as far as I knew at the time, there was no method to his genius. What is there to imitate, but this anecdotal history?! So I watched it anyway. I am glad I did. As far as Ramanujan himself was concerned, his mathematical I sights were gleaned from dreams and visions associated with his devotion to the Goddess, Namagiri Laxshmi, the consort of Vishnu the Preserver. In contrast, most modern mathematics is developed in the service of Shiva, the Destroyer. Or perhaps the demons in his entourage. Ballistic trajectories and atomic physics being what they are. Not that this is intentional, just inevitable. As a devotee of Shiva I have no interest in contributing to the construction of offensive weapons of mass destruction. Shiva himself being a devotee of Vishnu and Brahma the Creator, his destructive power is not about greed or empire, but the balance of life and creation. I have always thought of maths as a contemplation of the world, and yoga has taught me how to concentrate without writing every detail down. While the world itself is thoroughly corrupt even to the foundations of academia itself, spiritual devotion is the key to Ramanujan's mathematical vision. We stand to benefit by his example, if we are interested at all in his perspective and not just his incredible results. Thanks for the video!
Using this book to do math is like using a dictionary without knowing English to create master philosophy. Purely Genius Ramanujan.
Good metaphor. Ramanujan is the most impressive mind ever maybe.
@@thespectrum630 i prefer oldtown
@@thespectrum630 I didn't want to say better or more influential, but impressive because the rare it is, there is a lot of mistery, it function like nothing else or it appears. Of course i value more the weight of Newton, Socrates, Einstein, Kant, etc.
@@thespectrum630 Gauging minds is a foolish concepts as there is no deterministic metric to say what is a "greater" mind, at the end of the day what you find impressive is subjective furthermore what people pursue is based on their ambitions, passions, dreams and not something as meaningless as fame seeker.
Hey don't comment on them like this it will hurt their sentiments 😂
After seeing this book, I am just blown away by how Ramanujan was able to teach himself! I would have no hope! The talent and genius of some people will always amaze me. Thanks for sharing.
are you incapable of reading? explanations for everything are provided.
@@sumdumbmick 😂 yes this book has very clear explanations, I'll give it a shot, should be easier than my Calculus class
@@sumdumbmick I think he meant that a normal human would be able to learn a good amount of math from this book but wouldn't get Ramanujan level math skills and invent formulas which coulf be used to calculate black holes' behaviors before the discovery of black holes lol.
I mean some people are just absurd, look at Newton, that man spent basically all of his life studying everything from philosophy and science, and 3 centuries later basically all of high school level physics is Newtonian physics, like wtf is your brain even running on neurons or is it made of alien strata lol.
Actually Ramanujan dedicated his mathematical contribution to his ishta devi( local deity/goddess of that area) Mahalakshmi of Namakkal. He claimed that it was her who showed him glimpses of mathematical equations in dreams.
That's why Ramanujan also said that an equation which doesn't represent the idea of God isn't worth it.
@@vaibhavyadav9912 Yeah if you look at most mathematical great thinkers they were also philosophers and mystics. That's were we get the Indo-Arabic number system from mostly Sufi philosophers and Hindu Philsophers. Also Pythagoras spent time learning in Egypt (some also say babylon) like most greek philosophers, that's were the hermetic tradition of philosophy comes from and great greek philosophers also spent time in Egypt, like Plato, and egypt had to have some pretty great math to build pyramids which stand till this day, so that's probably were Pythagoras got the theorem which we attribute to him. And the figure of Pythagoras is riddled with mysteries, some historians even think he wasn't even a person because he was considered to be a leader of an order (kinda like freemasonry but greek lol) so Pythagoras might be a group of people under an initiatic name.
I've talked about Plato and he also was a mystic and he made some math with the Platonic solids etc... If you look closely at for example the middle ages university course it was composed of the trivium (logic rhetoric and grammar) and the quadrivium (geometry, arithmetic, harmonics/music and astronomy) and as hermetic philosophy was pretty significant they would have a type of knowledge called "Sacred knowledge" (because the hermetics believed "As Above so Below" so we humans are made in the image of god, and the methods we use to measure the earth can be used to experience divinity) so they would have things like Sacred Geometry, Sacred Astronomy (astrology the like) etc...
Going more modern, Newton was a christian, he was obsessed with rebuilding the temple of solomon and studied closely the measures of the temple described in the bible (sacred geometry), he also was apperently into kabbalah and more mystical things, and he was working on a second book on philosphy while doing his book on math.
All this to say that math probably has some mystic origins on some guys who would go into deep meditation and come out with some cool numbers which described the universe, which is quite indicative of the way Pythagoras thought, that numbers were gods and holy in and of themselves.
DISCLAIMER: Individual mathematical prowess gained from reading this book may vary. The publishers in no way guarantee the ability to derive freakish mathematical identities after use.
Haha
Who knows? No harm in trying!
But Prowess gained from reading "Vedas" don't vary. The publishers (bra hmins) of "Vedas" guarantee ability to derived freakish "all Inventions" after used!
@@jkshallinheritearth3883 well we Hindus don't need reservation like your family 😂
Because we read Vedas....
@@jkshallinheritearth3883 Studying Vedas definitely activates both sides of the brain equally well and learning a musical instrument also helps in thid process like piano, Violin and percussion instruments like Mridangam,a South Indian Drum
Great respect to Mr Hardy that he recognised and supported the talent unlike many who would have stolen the work
It would be a respect to mention The DOCTOR instead of Mr
@Factual History Of British Raj & BEICidiot , it was not Oxford University
@Factual History Of British Raj & BEIC yes but why the latter sentence?? Your account seems like a troll lol
Stealing his work was impossible because his notebook came without the proofs. 😄
If Hardy steals Ramanujan's notebook and claims it as his own, then people will ask Hardy for proof.😆
Ramanujan held the proof in his head, and he wrote only the final result in his notebook.
@Factual History Of British Raj & BEIC thats what you meant? "Thanks british" kind of sounds sarcastic which you did not intend.
Ramanujan was much more than genious ,its like mathematics was generating in his mind .His many theorem are still beyond understanding of us.i wonder what more he would have come up with if lived more .He is definitely pride of my country India.
India has many great mathematicans and physicists, also programmers, engineers.
From Ireland, I watch their channels. I might not understand their languages, but I can see what they are doing on boards.
@@pinklady7184 Actually i like engineering videos america and europe based. They look more interesting. I prefer to attend engineering classes offline from the professors in India.
He is followed three books which I came to know when I visited Pachayapasa College, where he was once lecturer. All the three books by SL Loney. The same SL Loney books were prescribed in Madras University upto 1943. The same was adopted by Berhampur University upto 1984.
He died too young.
@SnIpeR.7809 ur high on cow dung
The beauty of the book is it gives explicit proofs and doesn't waste time. BEAUTIFUL geometric picts as well. Most modern math texts dumb down content, or go too advanced to show off without proofs they leave as exercises (and probably are too lazy to show and know), pad paper to fill some administrative quota by a cynical publisher caring only about profit, and bore students before they have a chance to learn the good stuff that would inspire.
I've got that book (BOTH volumes of it) in my collection of historically significant mathematical works here at home. I bought it online from a book dealer in India--from whence Ramanujan came and he's one of my all-time math heroes from history!! 🙂 Thank you, MS, for discussing it on your channel, MS!! ❤
Oh wow !!
please give me all books name
It is quite amazing how anyone born in this day and age, if they want to learn something, not just math ... absolutely anything, the sheer amount of information resources we have and the access to it because of how long civilisation has been in existence etc.
The big catch is "if they want to learn something" ... I call them "nuggets on CZcams" ... basically free gold ... "if you want to learn something". BTW: was all thumbs at one point ... now a pretty good handyman thanks to CZcams (non mathematical nugget ... but I do math too).
Imagine a ramanujan is born again today. He would learn so much from internet and would have a much healthier life with so many cures around us.
The abundance of resources also leads to distractions 😢.
As a university level mathematician myself, I have to emphasize just how insanely genius you need to be in order to not only understand high level pure maths but be making breakthroughs in the fields, all without any formal education or access to mathematical textbooks. Its almost more impressive than anyone else because he did everything solely based on his own brainpower.
Diligence is the key to success and Srinivasa Ramanujan Sir is an epitome of regular intense Sadhana Sessions in Mathematics
Ramanujan was a devout Hindu, one of the things he suposedly said was:" my godess bleeds mathematics". I heard that some of the mathematics that he came up were fundamental for the understanding of blackholes.
I stay near to his place. He is a whole another level genius who lived a short life. I treat him as an idol. He is my biggest motivation to pursue pure science. Great respect to you for telling us about this legendary book
The movie "The Man Who Knew Infinity" was great. Very moving story and really gives you an appreciation for just what a genius Ramanujan really was. I'd say calling him a "genius" is under-stating things, TBH. Anyway, if you like math and mathematicians, I'd put "The Man Who Knew Infinity" right up there with "A Beautiful Mind" as a must-watch movie.
Srinivasa Ramanujan Sir is a divine representative of God to be better
I think he used the book to come up with self made questions and solutions on his own. He had a affinity for pattern pathfinder and not being intitutionalised he could take the book at his pace. But really, he just loved numbers so much it was like a fun activity. All the wonderful number patterns he might have found had his health not worsened.
I strongly agree.
Spherical trigonometry is still taught in certain programs, for example in nautical academies. I did my bachelor's thesis on the applications of spherical trigonometry in navigation.
Dear Professor thank you for sharing this video. Your review of this book has refreshed some good old mathematical memories: Cardan's method of solving a general cubic equation, arithmetic/geometric/harmonic progressions and tables of logarithms/trigonometric/exponential and other functions. I studied Cardan's method in first semester of my B.E. (Computer Systems Engineering) here in Karachi, Pakistan in 1986. I was intrigued when I heard your comment that it is no longer taught in college courses. The arithmetic/geometric/harmonic progressions and tables of mathematical functions were part of our Mathematics courses in high school. Although the use of electronic calculators were allowed but we were taught about the use of these tables of mathematical functions also.
Lucky u in India we aren't allowed to use calculators even now until we reach university.
Ramanujan is one of the only mathematicians who is referred to by his first name (Ramanujan) rather than his surname (Aiyangar).
I looked through this book years ago when I found a copy in the UK and bought it. Ramanujan said he got his ideas from a deity and I believe that as much as he learned it all through this book. In the old days in India there were multitudes of English bookstores full of university press books. While he may have got his early education from this little volume, I suspect he went much further in his reading and studies before he wrote Hardy his famous letter.
could be. He may be belong to ancient builder class of people, who are the architects of ancient temples in India. Their mathematical formulations are different than modern mathematics. Those were probably like mantras of different God.
Very well reviewed ….nothing much to add about Ramanujan than what has already been said in the literature, among the greatest geniuses of Math across history and sadly deserves more celebration in India than he gets, probably because he was and continues to be so esoteric and little understood except by mathematicians….so definitely credit to GH Hardy too, for getting him over to England and letting his light shine out to the whole world…..definitely qualifies for among the good things the Brits did in India….
Thank you for providing access to a book that so profoundly influenced a great thinker. We should all aspire to such greatness!
When Hardy & Littlewood received that first incredible letter from Ramanujan they were astonished not only at it's brilliance (the theorems were created either by a conman or a true genius!), but at the complete lack of proofs for the theorems. This lay in the fact that Carr's book was really nothing more than a large, disparate collection of theorems with little or no proofs. Also, Ramanujan seemed to be entirely deficient in his knowledge of Real or Complex Analysis; again, which related back to Carr, or indeed, even the concept of a proof!
What is astonishing about Ramanujan is were on earth did he get his strange "mathematical poems" from? He claimed it was from the Goddess Namagiri, but surely that belittles himself but also humanity in general for being able to produce such true unadorned genius. The big question which forever remains, and is as true of Mozart - what would they have produced if they had lived beyond their criminally short life spans? We shall never know!
Much effort has been spent over the ensuing 100 years to prove some of his most intractable theorems, with the mathematician Bela Bollobas probably spending too much time on the task. There was even a journal which specialised in analysing & developing his theorems, but I think that journal folded!
Most of the topic in this book is taught in high school in India.
that's awesome:)
some are born talented called geniuses and some do hard work to reach great places and ramanujan was simply genius
RAMANUJAN was not just a GREAT mathematician but also he was such a HUMBLE and HONEST man , he was always DOWN to earth...... thank you SIR for sharing this one .......👍
Greetings Mr.Professor,
Thanks for the Wonderful Share of Ramanujan,The Magnanimous Mathematician who is Way Ahead in Past, Present & Future Period in The Mathematical Expertise in all aspects.
With regards,
RanjithJoseph (R.J)
He told maths is running like blood in his vien and goddess is teaching him ..no one can beat this 🙏🏼
WTF. Now I believe genius is born.
I seen this book. Its really good one. His old house is open for public to visit.
Ramanujan came from a humble background.
i recently published a very brief biography of Ramanujan on Medium (not a plug). One of the things that struck me is that, outside of the Mathematics World, he's not well known. I learned of him through reading about the Interesting Number paradox and the reference mentioned his conversation with Hardy about the Taxi Cab Number. Amongst the tragedies of his life (other than his death at just 32 from complications of tuberculosis) that, because he could only access older books (Carr's book was half a century out of date when he was given it), he often expended a lot of time and effort proving things that had already been proven or going down blind alleys that others had thoroughly explored decades before. Coming to the notice of the Indian Mathematical Society certainly seems to have helped him , even if one of the founders, Ramachandra Rao, did describe him as "uncouth and not overly clean, with one conspicuous feature, shining eyes" (bear in mind that this is from someone who liked him and helped him to find work and mentors). This led to working along side people with ties to English universities who shared his work with their own mentors and eventually led to him sending his work to Hardy.
Ramanujan seemed very focused on mathematics to the exclusion of all else, this lead to him losing two university places in his teens because, whilst he aced the mathematics exams, he barely studied for the other subjects. Reading between the lines of what I could find on him, I did wonder if he was neurodiverse (I'm neurodiverse myself). That total focus on one topic and becoming expert is a classic feature of many neurodiversities, as is high intelligence.
Ramanujan was a priceless genius
If you liked the movie, I highly recommend the book it was based on -- "The Man Who Knew Infinity" by Robert Kanigel
I ordered this book with your affiliate link
1 week ago.
This book arrived today
It was good , Thanks ..
Great 👍
I am an 11 grader and facing difficulties in maths plz make a separate video for how can develope problem solving skill and when I understand the concept and easily solve the problem but after some days I forget the concept and the numerical . So how can retain not memorise after understanding the concepts
I think the best advice for everyone who wants to do anything is : "Just start with anything. stop asking more and more questions!"
Hello to the great math sorcerer.
Can you make a video on financial mathematics? I mean the great books we can read to reach 100. Many thanks to you for all the great content that you put out.
Only the great die young...
RIP Ramanujan🕯️
Thank you, professor! 🙏
Great commentary! Thanks Prof!
Great video! I'm a fan of Ramanujan, this really helps me understand the mysterious genius. ALSO: I'm an ameteur used book dealer, I can't find ANY first edition examples of this book for sale anywhere, even using the dedicated book search engine ADDDALL or eBay, even in completed sales. Of course there are some examples in libraries, but dang! Rarity usually correlates with price. Now I want to find one in a rummage sale xD
Great video. Your review of relevant material is so unlike typical channels pandering to foolishness.
😀
@@TheMathSorcerer please review ramanujan notebook.
he has developed over 4000 new theorems which was still not proved by many great mathematician
Wow
4000 theorems ??
@@augm3nt384 yea i just checked on google and it's true😯
All of Ramanujan's theorems have now been established. In 2018 Andrews and Berndt published "Ramanujan's Lost Notebook, Part V" which completed the publication of theorems left by Ramanujan. (The only results of Ramanujan not proved are those that are false.🤣)
@@Blitnock nopes bro he didn't formulated any formulla wrong because for an ordinary man it's impossible to create such equations and theorems
He was ahead of his time.
I just love your videos. Specially about interesting books. Keep it up. You are the Math Sorcerer.
Great video, I love all your book reviews!!!!!
Thanks so much!
Oh wow the Ramanujan whose math formulas I love so much?!!
Dear Sir, excellent introduction. These two volumes have very original tastes. Have you ever also come across anything parallel but in Physics? Please advise.
Where to download the two volumes ? Does the website provided in the video provide just one volume ?
@@7years6months3days5hours7min patiently surf through website.
This book is also a download on Internet Archive in several formats. Completing the square is so much easier. I found out about it from one of the numerous books I studied from in the library after class.
Nice video! That film inspired me to take up math again! Great stuff
I always think he belongs to temple building community. If you visit his birth city Trichy, you will see the very mathematically perfect temples with unique properties. For example, Sri Ranganathaswamy Temple. People just ignore these facts that ancient people were mathematically fantastic. They may have used mantras for formulation rather than the modern techniques.
he was one of the finest mathematician of all over the world and one of the self taught mathematician
@Abu Saleh yeah
“I kept stopping the movie and rewinding it…it was a little slow” 👌
Euler's constant is irrational -- I have found a truly wonderful proof, but the comment space is too small to contain it
I'm not sure if it's still offered, but I did a spherical trig unit at Melbourne Uni back in 1981. And thanks for the link to the book!
6:17.Don't forget to smell the book.
Love from India 💓💗
My devi bleeds mathematics- Ramanujan
haha, literally just got negative 3 marks in maths (of this year Jee adv ..) !! I just thought I was gonna clear the cutoff at least !! Studied for 2 years from sets & functions to differential eq^n , from straight line to hyperbola, from P&C to probability ..... but just messed up everything !!
Euler's constant is rational, but I can't find enough space in the comment section to paste my demonstration.
When do you plan to review the Math-Physics books.?
You don't just pick up a serious textbook with zero foundation and just manage to crank through it successfully. Ramanujan must've gotten a solid mathematical foundation from a great teacher, no one can convince me otherwise. No one is born with knowledge. Raw intelligence, does not equal knowledge, it's only useful if some means of initial rudimentary teaching gets the ball rolling first. This teacher can very well be some super didactic text, rather than an actual human teacher, but textbooks of high math/science, are definitely not great teachers for the complete beginner. He had another teacher who got the ball rolling first, I'm convinced of it.
He repeatedly and adamantly maintained the claim that his intuition was because of his goddess Namagiri that helped him through his dreams. He was adamant with this, but most people overlook this supernatural side of his story because their brains can't rationalize it.
@@Ghostrider-ul7xn well Georg Cantor too, as great as he was, said some pretty weird stuff as well. Even went to the nuthouse. But this may be different, he might just be simply religious. Lord Kelvin, was also like that, and no one can deny his scientific prowess. Heck so was Isaac Newton. Or a modern example, James Tour. Religious belief and motivation seriously aids in scientific discovery, way more often than not apparently.
@@AhirZamanSairi I don't think we are in a position to simply brush off his claims as him simply being "religious". There's literally no other way you can explain the source of his knowledge, especially with little to no proofs. I'm not sure why people have this knee jerk reaction to completely dismiss any extraordinary cases just because they didn't get to experience it. Why do we have this implicit assumption that the reality as we know it doesn't involve the supernatural? That's a flawed assumption.
I believe him. It's all within us already, he tapped into it using the symbiology he was familiar with and dreams.
I totally agree with you 👍
Without someone teaching you the basics you can't and won't understand further cuz math is a chain knowledge. Everything else is pure bs.
One who knows the "abc.." of things, can write ✍️ stories easily. As larger or more complex problems are just built up of simpler one's!
So mastered this book 📚 problems... N others... Rest is history!
Jai hind 🙏🏼
Hi, math sorcerer i hope you haven't forgotten about my request on book for learn math start to finish but more affordable line of books elsewhere especially in india
Yes specially for jee aspirants
He was mathematician from atleast 250years forward....
So great
Ramanujan sir great
What are we to make of Ramanujan's claim that mathematical ideas were sent to him in his sleep by the Goddess? That was the conventional wisdom of his time and place (19th century Madras), when the concept of the unconscious mind had not yet become part of popular culture.
Other great and not so great thinkers have had the experience of sleeping on a problem and waking with a solution, or working it out during a dream. Depending on your world-view (or religion) you can explain it as a gift from the gods, a infusion from the collective unconscious or the product of your own mind.
Mathematical reasoning during sleep fits better with J F Herbart's ideas of different perceptions combining with existing ideas to become strong enough to break through into conscious awareness than Freud's and Jung's schemata.
I agree .
Srinibasa Ramanujan 💝
Imagine how much Ramanujan and Euler could have accomplished with the technology today.
They will be bsy chatting girl tru social media🤣
Significantly less than if they were alive when they were because mathematics is immensely more advanced today
I wonder if they would have got sidetracked
Thank u so much for sharing it
Paper was too costly for him at that time in India. He used to practice on temple floor with a chalk.
How did he even afford a book?
I was smiling when I saw your fountain pen
Finally the book came which I want
Genius can use it to go through a lot.
Thanks for another interesting review 🙂
Looking at this book it seems like a lot of knowledge is presented, but not much of it is proven. That's of course fine, since this appears to be a reference book and not a school book, but it goes some ways to explain how Ramanujan managed to get his in-depth knowledge and intuition without learning how to prove.
Yeah it's like a list of results/procedures/theorems, with not much proof. I like it, it's so different from other books:) Fun to look at!
Felt like u r sitting beside and explaining
I am an Indian and I have become a fan of you really and I am a teen
I would like to suggest a book review of 'Class 11th mathematics Of NCERT'. This is an Indian maths government textbook and it is the most basic book in our country for starting with differentiation. After that you can give a book review of class 12 NCERT maths textbooks part 1 and 2, that introduce basics of calculus to Indian students in School
I think this book was written with no pedagogic purpose in mind and is really a relic of its times... It looks like a directory of known results in an age when Wolfram MathWorld, Google Scholar, and Wikipedia didn't exist : )
You can see the movie The man who knew Infinity, based on Ramanujan.
I brought this book! This book is really 💀💀💀💀 God level!
thank you
Not quite college. THe content is rather high-school leveled. The volume two, however, is college leveled. The second part of the book is mostly about calculus.
The font used for 'x' resembles infinity. Unknown and infinity.
I actually have the movie and the book.
I clicked on this because the book's font is the same as The Elder Scrolls lol
Lol
Finally you listened me.
Thanks..
Ramanujan learned math with this book
I read : ramanujan learned math with tiktok
Libro notevole per la difesa dei diritti civili e umani penso che la dignità delle persone sia piu importante come la libertà e la democrazia. La casa democratica super forte . Potente e passionale.
Interesting! Does it just spit out the techniques os does it also explain the whys behind it ?
Ramanujan did most of the work on his own ingenuity, this book simply happens to be a gateway to teach him a couple techniques, which he expounded on and even worked on other problems later.
This book is real good
thanks a lot sir
If you do noti mind. I saw the Beautiful.Mind. I cry at that the end of it. When Nash win the Nobel.prize for economics
Ran is our pride!
From BD🇧🇩
Ran who?
Thanks man ❤️❤️❤️🙏🙏 you have done a great review far beyond my expectations great job always grow( y=e^x) I mean exponentially 😂❤️❤️❤️❤️ love from india brother👍👍👍👍🙏🙏🙏❤️❤️🔥🔥
A friend sent me a link to a vid about Ramanujan. I laughed because as far as I knew at the time, there
was no method to his genius. What is there to imitate, but this anecdotal history?! So I watched it anyway.
I am glad I did. As far as Ramanujan himself was concerned, his mathematical I sights were gleaned from dreams and visions associated with his devotion to the Goddess, Namagiri Laxshmi, the consort of Vishnu the Preserver. In contrast, most modern mathematics is developed in the service of Shiva, the Destroyer. Or perhaps the demons in his entourage. Ballistic trajectories and atomic physics being what they are. Not that this is intentional, just inevitable.
As a devotee of Shiva I have no interest in contributing to the construction of offensive weapons of mass destruction. Shiva himself being a devotee of Vishnu and Brahma the Creator, his destructive power is not about greed or empire, but the balance of life and creation.
I have always thought of maths as a contemplation of the world, and yoga has taught me how to concentrate without writing every detail down. While the world itself is thoroughly corrupt even to the foundations of academia itself, spiritual devotion is the key to Ramanujan's mathematical vision. We stand to benefit by his example, if we are interested at all in his perspective and not just his incredible results.
Thanks for the video!
Not saying that his genius can be justified but this book has more stuff than any math book I’ve ever seen.
Sir can you suggests any books for graphical approach ?
Love from india
Bro if possible look for newton Principia mathematica book ❤️❤️🙏
What is the price of this book I shall purchase both the Volume.
In india we learn all these in 1st year college and in 10+2