👍My teacher cites Ramanujan as an autodidact from last century, refusing to let adversity hold him back. Himself growing up during WWII, advised us "Never underestimate the resources of poverty". Unable to afford books, he hand copied borrowed books, the first such exposure not requiring any thinking, just verbatim copying, typos, other grammatical errors all included!. The second exposure, i.e. during reading his own handwriting took a lot of time, began liking it more and more. Like him, having to learn 2 Languages at the same time, many of his students found Mathematics easier to learn than English.
Ramanujan was of the Brahmin caste (the highest caste in India), which holds very significant privilege in Indian society, even in poverty. You conveniently omit that.
@@guild6343 see 😅don't bring religion in everything , I guess there's something wrong with you 😅 but anyways wishing you all the health wealth and success in the world.
@@guild6343 Yeah I get that, but that was during the old days though. And just because he was a Brahmin and he had privileges he could also have chosen otherwise - to leave the subject and be something else. Of course caste-based oppression could have happened to perhaps the many possible brilliant minds here back then but the choice is all ours - whether to embrace one's powers and utilize one's resources to rise above all, or to stay low and stay put. There are many of us who got an ample amount of resources and yet don't make it to where they wanted to and simply drop off from the path they were in. Not that I'm justifying the caste privileges Ramanujan got but that very fact that we choose our destiny, even when God can alter parts of our life just for our good.
Nah, don't worry, he just highlighted something from Ramanujan's life. I know that it's just not good to talk about caste and stuff when all of us Indians are striving to progress in life and that the Constitution has now made opportunities equally available to anyone from anywhere in India, but that's just a fact worth reading and letting go of (or you can just choose to believe that our caste system did oppress the many highly intelligent from the lower castes too, back then; not now because we got reservations for any one from the communities that were oppressed earlier.
Yep, Feynman has mentioned all that 'Practical Man ' books in his '92 book, "What Do You Care..... p17. He had mastered it when he was 13 & school librarian had questioned him why the book for a child. Feynman lied to the libraian that it's for his father.
At 43 and a a grade of a C in my last algebra class ( algebra 2 in 2000), I ended up going back to school and having to pass calculus for undergrad. Thanks to youtube, and the countless self study books out there I passed with an A. All the info in the world is out there for us to utilize. Just have to put in the study time. If I can somehow manage, anyone can!!
Some people are Math Intuitives, Feynman was as well as an absolute Genius. Some people can learn math by "rote", which Feynman said was the way it was mostly taught...and taught wrong! Then there are the rest of us who found math to be as comfortable as doing you own self-appendectomy without anesthesia of any type... I took a general aptitude test in the early 90's, found I was severely handicapped in abstractions like math. I'd like to have a long chat with the math teachers I had who said "he could do much better if he just applied himself"... most died many years ago so I can't have that particular pleasure. One of my actual strengths was understanding Concepts, this got me thru 3 collage Physics courses with at least a C or better, Math is a "tool" not an end in itself unless your're one of the lucky few who are are adept at it.
I was so mad at myself I found a complete set of these (Mathematics for self study) in a thrift store, somehow lost them, now they're near impossible to find and crazy expensive. Original printings I mean.
One of the reasons these books become expensensive is due to channels like this. With almost a million followers, when this channel focuses on a book that is already limited in availability...they go very quickly afterwards. I have seen this happen several times. Not sure if this is the effect that the Math Sorcerer intends or not, but it is a real effect of the channel.
Noticing that entry for "A Manual of the Slide Rule" leads me to wonder... do you own (a) slide-rule(s)? Do you know how to use one? If so, I'd encourage you to do a video on slide-rule usage! I bought one a few months ago off of Ebay, but honestly don't even know exactly how to use one yet. It's on my "todo list" to learn to use the darn thing. 🙂
I am curious about the introduction of rates as opposed to limits. This is the first Calculus book I have seen (I have about 20) that does not start out with limits in chapter one. I do understand that the instantaneous rate of change is also a limit, but I am intrigued by this approach in teaching Calculus. If the hardback version was not $3000 on Amazon I would order it now.
At first I wondered if this was going to be where he got the 'Feynman' integration method from; but I think that was 'Advanced Calculus', by Woods, mentioned at 4:00.
FOR a minute I thought Feynman wrote it and that would shock me..I believe he was a specific creature of a very special social time , the 50s..a TIME I'll defined and looking for what it was...
I think the key idea of this book is that in order to learn to use calculus, and use it regularly (the same way many people regularly use algebra or trig) that you don't have to get all wrapped up in limits and theories. You can just learn the mechanics of the process, the same way you learned multiplication or long division. Not everybody is going to be a math professor. Newton and Liebnitz and all the others were geniuses. Most people can simply accept that and just learn the mechanics of calculus without getting all bogged down in theories and abstractions. I've never met a math professor that could accept this. They always think that if a student can't do proofs and know theory, then the knowledge gained somehow doesn't count.
The main reason most calculus books and classes are so difficult to teach is that calculus is taught backwards. It is the introduction to the _integral_ calculus that must be taught _first,_ by showing the problem and how difficult it is to calculate certain varying quantities by a brute-force approximation. And only then a certain cool observation about areas can be introduced which involves another operation which is called _differentiation._ So the conclusion then is that integrating by brute force is extremely hard but it happens to be the inverse of a relatively easy operation (differentiation), so this can be used to do integration in a much easier way. It all then makes sense and follows a logical course. But it's invariably taught by pulling _differentiation_ out of thin air _first_ which to a newbie looks _completely_ whimsical, alien, incomprehensible, useless, and last but not least, impossible to understand how and why would anyone ever think of such a thing in the first place.
@@Treviscoe Yes but sometimes (in life in general 🙂) easier things are _much more confusing._ Another example of this is teaching the notion of limit using the epsilon-delta argument. It's VERY hard to explain it to most students because it's one-dimensional. It's MUCH easier to explain this concept using 2D (planar) drawings with no epsilon and no delta. And THEN one can show what it looks like in the 1D case. The reason this works much better is that everyone has a reasonably good graps of plane figures and drawings but doing the same in 1D is very opaque and weird to most people. It's just human psychology. And the reason it's not done in 2D is that it supposedly is "more difficult" to talk about functions of two variables. The trick is to introduce functions as acting on _points_ in _any space_ (or set) and proceed from there. Then the single real variable appears as a simple special case. I taught math for a couple of semesters and left as soon as I could because as a teacher you are terribly restricted by the syllabvus and the students are 100% focused on "passing tests", not on learning anything. Long story 😞
Excellent books--very nice that they're on the internet archive for free. It's kind of a bummer that you can't get modern copies. I'm not put off by the price of these books at all--but rather the condition. It would stink on ice to spend like $100 for a textbook only to have it fall apart on you due to age. Bummer. But, very cool that we have access to the internet archive. The internet is like the Library of Alexandra, but on steroids.
Would you recommend this as an easier way to learn calculus than other calculus textbooks, where they expect you to understand what they go over even if you don't fully understand everything they are going over? I know I had a very hard time understanding math in high school and the only thing that was really good was the trades, but I need to learn calculus 1 for the trade I need to go into.
Hello sir, recently Google has launched alpha geometry which could solve 25/30 rigorous and tough international mathematics Olympiad. So will AI replace mathematicians. Can AI do maths better than humans.
"he won the Nobel prize" -> "If he can do it, you can do it." that implication didn't work out. Maybe try: "he won the nobel prize" -> "If he can't do it, you definitely can't do it".
I am not sure that this kind of very old book is useful to learn calculus, because they use abreviations or notations which are not commonly accepted now.
What would be your recommendation for the calculus book for beginners.? Maybe let's skip the one where derivative concepts is mentioned afer 100 pages ;)
I would be surprised if this book is any different to all the other badly conceived tomes, written by "academics". I wonder if even one of them, ever consulted a novice for guidance on whatever subject.
Don't bring Ramanujam in this discussion. It is a distraction and religious mainly for some who want to defend reservation to Brahmins on education over 3000 years ago, and for little to no achievements other than superstitions which is being sold as probability.
👍My teacher cites Ramanujan as an autodidact from last century, refusing to let adversity hold him back. Himself growing up during WWII, advised us "Never underestimate the resources of poverty". Unable to afford books, he hand copied borrowed books, the first such exposure not requiring any thinking, just verbatim copying, typos, other grammatical errors all included!. The second exposure, i.e. during reading his own handwriting took a lot of time, began liking it more and more. Like him, having to learn 2 Languages at the same time, many of his students found Mathematics easier to learn than English.
That shows the "Nah I ain't gonna give up" side of our Indian prodigy :).
Ramanujan was of the Brahmin caste (the highest caste in India), which holds very significant privilege in Indian society, even in poverty. You conveniently omit that.
@@guild6343 see 😅don't bring religion in everything , I guess there's something wrong with you 😅 but anyways wishing you all the health wealth and success in the world.
@@guild6343 Yeah I get that, but that was during the old days though. And just because he was a Brahmin and he had privileges he could also have chosen otherwise - to leave the subject and be something else. Of course caste-based oppression could have happened to perhaps the many possible brilliant minds here back then but the choice is all ours - whether to embrace one's powers and utilize one's resources to rise above all, or to stay low and stay put. There are many of us who got an ample amount of resources and yet don't make it to where they wanted to and simply drop off from the path they were in. Not that I'm justifying the caste privileges Ramanujan got but that very fact that we choose our destiny, even when God can alter parts of our life just for our good.
Nah, don't worry, he just highlighted something from Ramanujan's life. I know that it's just not good to talk about caste and stuff when all of us Indians are striving to progress in life and that the Constitution has now made opportunities equally available to anyone from anywhere in India, but that's just a fact worth reading and letting go of (or you can just choose to believe that our caste system did oppress the many highly intelligent from the lower castes too, back then; not now because we got reservations for any one from the communities that were oppressed earlier.
I googled it straight and downloaded the PDF right away. So easy to get knowledge online
Yep, Feynman has mentioned all that 'Practical Man ' books in his '92 book, "What Do You Care..... p17.
He had mastered it when he was 13 & school librarian had questioned him why the book for a child. Feynman lied to the libraian that it's for his father.
There is something irresistible in the smell of old books! I used to hang out in big stores chockfull of old books.
Without a sniff, no book review is complete
The sniff of approval
😂😂😂
At 43 and a a grade of a C in my last algebra class ( algebra 2 in 2000), I ended up going back to school and having to pass calculus for undergrad. Thanks to youtube, and the countless self study books out there I passed with an A. All the info in the world is out there for us to utilize. Just have to put in the study time. If I can somehow manage, anyone can!!
Cool book! I like the visual style of older math books, without all of the colors and visual flourishes. It feels more "pure."
I have had this book since I was a child. Still have it. Classic.
Have you studied the whole book yet?
@@user-zt3yp4om7v I've had this book for 50 years and have read it periodically through that time.
Some people are Math Intuitives, Feynman was as well as an absolute Genius. Some people can learn math by "rote", which Feynman said was the way it was mostly taught...and taught wrong! Then there are the rest of us who found math to be as comfortable as doing you own self-appendectomy without anesthesia of any type... I took a general aptitude test in the early 90's, found I was severely handicapped in abstractions like math. I'd like to have a long chat with the math teachers I had who said "he could do much better if he just applied himself"... most died many years ago so I can't have that particular pleasure. One of my actual strengths was understanding Concepts, this got me thru 3 collage Physics courses with at least a C or better, Math is a "tool" not an end in itself unless your're one of the lucky few who are are adept at it.
I was so mad at myself I found a complete set of these (Mathematics for self study) in a thrift store, somehow lost them, now they're near impossible to find and crazy expensive. Original printings I mean.
Yeah the originals are kind of expensive and hard to find!
From time to time , I find some copies for 50 or less on eBay .
One of the reasons these books become expensensive is due to channels like this. With almost a million followers, when this channel focuses on a book that is already limited in availability...they go very quickly afterwards. I have seen this happen several times.
Not sure if this is the effect that the Math Sorcerer intends or not, but it is a real effect of the channel.
You sniffing the book had me laughing. I would so do that lol.
Like me the physics professor Feynman understood that self-study was more important than sleeping in class.
You're a great inspiration like Feynman ❤
It is almost $190 on Amazon. You'll probably want the pdf.
I have this book. It was my dad’s. He also has a multi-volume series along the same theme.
I don't think it would've mattered what book Feynman used.
Maybe if that Physics thing didnt pan out so well I thought Feynman had potential as a comedian.
Yeah he was an interesting guy lol
While studying at school I liked maths and physics lessons. Maths was for me like solving problems, physics - like explaining the wonders of the world
Noticing that entry for "A Manual of the Slide Rule" leads me to wonder... do you own (a) slide-rule(s)? Do you know how to use one? If so, I'd encourage you to do a video on slide-rule usage! I bought one a few months ago off of Ebay, but honestly don't even know exactly how to use one yet. It's on my "todo list" to learn to use the darn thing. 🙂
Richard Feynman was the guy playing bongos in the car in the movie.
I am curious about the introduction of rates as opposed to limits. This is the first Calculus book I have seen (I have about 20) that does not start out with limits in chapter one. I do understand that the instantaneous rate of change is also a limit, but I am intrigued by this approach in teaching Calculus. If the hardback version was not $3000 on Amazon I would order it now.
At first I wondered if this was going to be where he got the 'Feynman' integration method from; but I think that was 'Advanced Calculus', by Woods, mentioned at 4:00.
Yeah that's the Woods book.
I too learned from this book before I heard the Feynman story. It's great.
FOR a minute I thought Feynman wrote it and that would shock me..I believe he was a specific creature of a very special social time , the 50s..a TIME I'll defined and looking for what it was...
Amazon has one. Damned expensive though. Over $2600.00 I'm hoping to find one in a thrift store. Somewhere.
Sir,
Can you please share the Amazon 2,600 doller product link...
If your old books were cocaine, you'd be in some serious trouble... :)
Have the whole set.
I think the key idea of this book is that in order to learn to use calculus, and use it regularly (the same way many people regularly use algebra or trig) that you don't have to get all wrapped up in limits and theories. You can just learn the mechanics of the process, the same way you learned multiplication or long division. Not everybody is going to be a math professor. Newton and Liebnitz and all the others were geniuses. Most people can simply accept that and just learn the mechanics of calculus without getting all bogged down in theories and abstractions. I've never met a math professor that could accept this. They always think that if a student can't do proofs and know theory, then the knowledge gained somehow doesn't count.
Hello, I study in 8th grade and I dream of representing my country in the IMO. Do you have any suggestions, guides, or books?
ISBN number so we don't have to genuflect to Amazon?
The main reason most calculus books and classes are so difficult to teach is that calculus is taught backwards. It is the introduction to the _integral_ calculus that must be taught _first,_ by showing the problem and how difficult it is to calculate certain varying quantities by a brute-force approximation. And only then a certain cool observation about areas can be introduced which involves another operation which is called _differentiation._ So the conclusion then is that integrating by brute force is extremely hard but it happens to be the inverse of a relatively easy operation (differentiation), so this can be used to do integration in a much easier way. It all then makes sense and follows a logical course. But it's invariably taught by pulling _differentiation_ out of thin air _first_ which to a newbie looks _completely_ whimsical, alien, incomprehensible, useless, and last but not least, impossible to understand how and why would anyone ever think of such a thing in the first place.
'speed' is a pretty intuïtieve concept. This is where derivatives originate.
Interesting, but I'd assume the reason differentiation is taught first is because it's easier?
@@Treviscoe Yes but sometimes (in life in general 🙂) easier things are _much more confusing._ Another example of this is teaching the notion of limit using the epsilon-delta argument. It's VERY hard to explain it to most students because it's one-dimensional. It's MUCH easier to explain this concept using 2D (planar) drawings with no epsilon and no delta. And THEN one can show what it looks like in the 1D case. The reason this works much better is that everyone has a reasonably good graps of plane figures and drawings but doing the same in 1D is very opaque and weird to most people. It's just human psychology. And the reason it's not done in 2D is that it supposedly is "more difficult" to talk about functions of two variables. The trick is to introduce functions as acting on _points_ in _any space_ (or set) and proceed from there. Then the single real variable appears as a simple special case. I taught math for a couple of semesters and left as soon as I could because as a teacher you are terribly restricted by the syllabvus and the students are 100% focused on "passing tests", not on learning anything. Long story 😞
Excellent books--very nice that they're on the internet archive for free. It's kind of a bummer that you can't get modern copies. I'm not put off by the price of these books at all--but rather the condition. It would stink on ice to spend like $100 for a textbook only to have it fall apart on you due to age. Bummer. But, very cool that we have access to the internet archive. The internet is like the Library of Alexandra, but on steroids.
Back for the yearly upload 😂🙏🏼
Used to own the entire set.
And here I thought I was the only person who judged a book by its smell.
It is not just a good book, but a very good book for the beginners.
Old books are cool.
Really helpful book
This almost 100 year old text is still ahead of the need today for engineering.
Very interesting book. Could you show us 1 question in Chapter 1 or 2? Then at end of video show Answer at the back of book?
Great book !
super duper study material, it is
Bro sniffing the book ..... I'm changing my field to medicine..(well technically I'm in a medical course but I like maths)
In hindi, calculus do tarike higher calculus in search in one maths hostory ,even from plus minus include zero
This Book wasn't cheap on Ebay
Super cool!
The magic book, it fill lots of mantra.
Would you recommend this as an easier way to learn calculus than other calculus textbooks, where they expect you to understand what they go over even if you don't fully understand everything they are going over? I know I had a very hard time understanding math in high school and the only thing that was really good was the trades, but I need to learn calculus 1 for the trade I need to go into.
I like you Mr. Math Sorcerer. But I have to finish my Cancer Biology coursework!
I have the whole series (twenty second printing) 😊
i lol'd when you sniffed the book. i do that too!!!! ya just gotta do it. love that old smell lol.
Hello sir, recently Google has launched alpha geometry which could solve 25/30 rigorous and tough international mathematics Olympiad. So will AI replace mathematicians. Can AI do maths better than humans.
"he won the Nobel prize" -> "If he can do it, you can do it." that implication didn't work out. Maybe try: "he won the nobel prize" -> "If he can't do it, you definitely can't do it".
i learned calculus from purcell/varberg i think ...
Did he also write the book Calculus Made Easy? It has the same name!
Sylvanus Thompson wrote that. Not really easy to read at all.
Would you by chance have a copy of Disquisitiones Arithmeticae by Gauss? I’d like to see a review of that one.
When you smelled the book lmao
I mean you're just Awesome 👌
If u don't look out the box u will never learn kathematics
I am not sure that this kind of very old book is useful to learn calculus, because they use abreviations or notations which are not commonly accepted now.
7:40 could you cite the best book for beginners for self study with the Amazon buy link
Kleppner. "Quick Calculus"
Is this book great for someone who learn at an university? I study business economics but I‘m not sure if it‘s only for physics or math students.
Finally I can fall asleep
edit/ Burn that book!
By the look of your fingers, you have hypertension.
wow
Feynman was a genius and could have learned calculus from a dinner menu. Doesn't mean this is a good book.
I found this original on Amazon for $4,000!!
I, just bought a hardcover copy for $50. Lol.
Can i use this book for preparing JEE?
Love from india❤❤
What is the best book to learn calculus from no knowledge. Im an idiot and havent done maths for years.
"Quick Calculus" by Kleppner
@@markprange2430 thank you so much. I did a bit of trig and algebra 30 yrs at school.
@@creativesource3514: There are also other self-teaching books for calculus. The one by Sylvanus Thompson is hard to understand. Kleppner's is better.
Richard Feynman learned mathematics from this book, and so can you - even though your IQ is half of Feynman's.
Really? And what he LEARNED from that book. Since we don't see any result of that learning.
Your sentence does not make sense in english.
What would be your recommendation for the calculus book for beginners.? Maybe let's skip the one where derivative concepts is mentioned afer 100 pages ;)
Purched maths history in Indian edition ,it's suit me not
👍👍👍👍
I would be surprised if this book is any different to all the other badly conceived tomes, written by "academics". I wonder if even one of them, ever consulted a novice for guidance on whatever subject.
First? 😄
I am first
Hi first, I'm dad.
Sniffing books... 😏
calculus is a handy device for science and engineering, but really, can't you just ask chatgpt to do the work?
Don't bring Ramanujam in this discussion. It is a distraction and religious mainly for some who want to defend reservation to Brahmins on education over 3000 years ago, and for little to no achievements other than superstitions which is being sold as probability.