Ramanujan Learned Math With This Book
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- เผยแพร่เมื่อ 1 มิ.ย. 2024
- In this video I will show you the book that the legendary Indian Mathematician Srinivasa Ramanujan used used to learn math. This is a very interesting book with tons of results. The book is titled A Synopsis of Elementary Results in Pure and Applied Mathematics Volume 1 and it was written by George S. Carr. This book is in the public domain and is available for free, but you can also find various print versions.
Here is a print version of the book on amazon: amzn.to/3C9ASQD
(this is my affiliate link)
Here is a free version of the book online
www.google.com/books/edition/...
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Thank you:)
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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 😂
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
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.
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.
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.
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
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 TH-cam" ... basically free gold ... "if you want to learn something". BTW: was all thumbs at one point ... now a pretty good handyman thanks to TH-cam (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 😢.
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.
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
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
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.
Ramanujan is one of the only mathematicians who is referred to by his first name (Ramanujan) rather than his surname (Aiyangar).
Great commentary! Thanks Prof!
Most of the topic in this book is taught in high school in India.
that's awesome:)
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.
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)
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 just love your videos. Specially about interesting books. Keep it up. You are the Math Sorcerer.
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, professor! 🙏
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 .......👍
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.
some are born talented called geniuses and some do hard work to reach great places and ramanujan was simply genius
Great video, I love all your book reviews!!!!!
Thanks so much!
I seen this book. Its really good one. His old house is open for public to visit.
Ramanujan came from a humble background.
Thanks for another interesting review 🙂
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
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.
Thank u so much for sharing it
Nice video! That film inspired me to take up math again! Great stuff
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.
Ramanujan was a priceless genius
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!
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!
He was ahead of his time.
If you liked the movie, I highly recommend the book it was based on -- "The Man Who Knew Infinity" by Robert Kanigel
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
Great video. Your review of relevant material is so unlike typical channels pandering to foolishness.
😀
@@TheMathSorcerer please review ramanujan notebook.
Finally you listened me.
Thanks..
I think the best advice for everyone who wants to do anything is : "Just start with anything. stop asking more and more questions!"
Only the great die young...
RIP Ramanujan🕯️
So great
Finally the book came which I want
Love from India 💓💗
thanks a lot sir
When do you plan to review the Math-Physics books.?
I ordered this book with your affiliate link
1 week ago.
This book arrived today
It was good , Thanks ..
Great 👍
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.
“I kept stopping the movie and rewinding it…it was a little slow” 👌
thank you
Phenomenal
Interesting! Does it just spit out the techniques os does it also explain the whys behind it ?
Oh wow the Ramanujan whose math formulas I love so much?!!
Ramanujan sir great
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
Euler's constant is irrational -- I have found a truly wonderful proof, but the comment space is too small to contain it
Genius can use it to go through a lot.
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.
He was mathematician from atleast 250years forward....
My devi bleeds mathematics- Ramanujan
Euler's constant is rational, but I can't find enough space in the comment section to paste my demonstration.
Sir can you suggests any books for graphical approach ?
This book is real good
Felt like u r sitting beside and explaining
In all honesty there’s no book on Earth that can turn you into Ramanujan. He was just a once in a lifetime genius. I can’t believe someone actually basically made math on their own using the most fundamental building blocks of it to create something so complex
You should start a podcast!
Srinibasa Ramanujan 💝
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👍👍👍👍🙏🙏🙏❤️❤️🔥🔥
he was one of the finest mathematician of all over the world and one of the self taught mathematician
@Abu Saleh yeah
I was smiling when I saw your fountain pen
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 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.
You can see the movie The man who knew Infinity, based on Ramanujan.
glad to be named after him lol. indian hero!
Love from india
The font used for 'x' resembles infinity. Unknown and infinity.
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
Mister do you know any book about "solid geometry"
I actually have the movie and the book.
Where did you get that book and how to get it or where did you bought it
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 !!
Bro if possible look for newton Principia mathematica book ❤️❤️🙏
Please suggest a good book of number theory
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 🙏🏼
It's like learning programming by reading the standard of a language
This book is then, by difficulty and subject classified between Algebra, Trig and Calculus? Could A high school student pick up this book after completion of Algebra and Statistics>
cardan -Gerolamo Cardano , ferrari - Scipione del Ferro ?
Do you know a book sir that tackles base-12 math?
I thought it was called Cardano's method (named after the 16th century Italian mathematician). Or is "Cardan" the anglicised version of "Cardano"?
He published all of his books in Latin as "Hieronymus Cardanus." In those days it was customary to translate other European people's names into whatever language the writer was using. So famous people would be known by a different name in each country.
We see this in old legal and church records in England: a clerk recording court proceedings in Latin would convert an Englishman's name into its Latin equivalent. From another time you might see French translations of common English first names.
Is there a free version for volume 2 as well?
You will likely find exactly what you're looking for and many, many other books on libgen. I can't give you a link here because the comment will be deleted, but I trust that you know how to find a website.
Hey, I just watch a video you uploaded a year ago about learning math by yourself with books, do you think I'll could learn math by myself but from the internet?
Yup in theory it's all out there, so you could:)
@@TheMathSorcerer thank you so much
Any more math movies you'd like to recommend?
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.
It is only One Volume . Am I missing something ?
Where is volume 2 ? Why is it so obscure ?
I want to buy this book, from where can I buy it
In india we learn all these in 1st year college and in 10+2
Do we have examples of Ramanujan's proofs?