The Calculus Controversy 

They pushed the "limits" of human comprehension

The reason why I'd be on "team leibniz" is that after Newton published the Principia, he basically just quit. He essentially said, "I'll never top this so I'm going to quit while I'm ahead." He then proceeded to try and defame leibniz for the rest of his life. But leibniz ignored Newton and his constant defamation attempts (this is after so long of course, leibniz also tried to defame newton but eventually quit) and continued to research mathematics. That's a real mathematician in my book.

Leibniz's notation is so much better than Newton's because it easily allows you to jump to multivariable calculus without any confusion.

Leibniz is incredibly underrated. He actually knows what he talks about, most likely borrowing from the Hermetic tradition

Leibniz gets my respect more now, He done stuff in electronics which I like, developed more or less the language for electronics (binary) has a brand of biscuits for himself, and played a role in calculus. Totally underrated.

This was great! I'm writing a big essay on Leibniz and his mathematic contributions to the modern world, and this really helped alot! Creds to you! :D

Great video!! I've been watching dozens of vids for my math project, but not many had made sense until now. Very clear and easy to understand.

This video was amazing Bro. Well done. It does speed volumes how back in the day the invention of calculus was one of the biggest controversies.

Leibniz' notation is what is used today

I invented Calculus

Thanks for this video. Really shed a little bit of light on my view of the entire dispute.

To me this proves one thing, which is that mathematics is the language of the universe or as Galileo put it, "the laws of nature are written in the language of mathematics". The fact that 2 guys in 2 different parts of Europe came to the same conclusions (using different notations) about the same mathematical concept is astounding.

Very interesting! Quite enjoyed this. I'll have to read more about this controversy, and the associated theories. Thanks!!! Etranger

Let us not forget that the vast majority of Newton's writings were on Alchemy and Biblical Chronology. In addition, Newton's metaphysical claims in the Principia are muddle-headed at best.

It did take a while, but it's crucial to understand Liebniz's notation in higher mathematics such as single/multi-variable Calculus

This video is very understandable and very well explained the dilemma. Great job!

The best part was of Charles Darvin after Newton's Book lol XD

Love the intro music. Great trip thru the history of the calculus.

Madhava of Sangamagrama discovered Taylor and Leibnitz series , differentiation , term by term integration and the theory that the area under a curve is its integral.

the question of "who made it" is a relic of a time long gone. Now what matters is how can we develop it further.

As for what everyone's saying about you talking too fast... You have good pacing, and the script as a whole was great, but you tend to rush some parts of sentences out, like halfway through saying them you think "Oh, screw it, I just wanna be done with it.". Looking over your lines and recognising where the syllable breaks are and if they are stressed or unstressed could help with that. At any rate, thanks so much! I'm working on a project that ties a bunch of major mathematical discoveries together in a giant web, but I didn't quite know what to put in regards to the comeabout of calculus. You've cleared up all the questions I've had up very straightforwardly. Nice job!

4:02 Both men's calculus work had problems *Only names what Newton lacks... :-)

Awesome video, mate!! I like your sense of humour.

I was wondering if you have any links where I can find this story? The story of Enland banesing Liebnitz's metod? :D

Super cool vid, mon. Please make more.

Great video, thanks for making this.

how resourceful and pleasant your are about your intellegence/you are alright thank you

Great final note by the way, I couldn't agree more. It's pathetic when people take sides on this issue.

5:30 "pressured" bernoulli, was that intentional?

Very interesting video, nice job with the explaination

leibniz also invented a mechanical calculator

Good video but one thing that should be clarified - the reason Newton didn't publish any of his papers till much later in his life was not because he wanted to keep his discoveries to himself but because he didn't have the money to publish them.

Leibniz's 1) calculus 2) differential equations 3) logic and mathematical logic/ discreet mathematics 4) topology 5) calculus application Newton's: 1) calculus based and calculus applied physics 2) some of calculus application 3) mathematics of fluxions ( now differential calculus )

Without exception, the calculus that all students learn in schools is Leibniz’s calculus. That makes Leibniz the world’s calculus teacher. I have never seen Newton’s fluxion in any textbooks. In England they teach Leibniz’s calculus in schools.

this is a really nice video. thankyou

Fluxions (BY IT, $ dime ; ) were central to the Leibniz-Newton calculus controversy, when Newton sent a letter to Gottfried Wilhelm Leibniz explaining them, but concealing his words in code due to his suspicion. He wrote: I cannot proceed with the explanations of the fluxions now, I have preferred to conceal it thus: 6accdæ13eff7i319n4o4qrr4s8t12vz The gibberish string was in fact an enciphered Latin phrase, meaning: "Given an equation that consists of any number of flowing quantities, to find the fluxions: and vice versa".

very interesting video thanks

Today we use the elegant and compact notation of Leibniz, which does not reference any of Newton's convoluted fluxion derivations. I guess being head of the Royal Society has its perks.

This is like asking which sole person created a particular language.

I just wish the audio was better, but other than that, the cartoons look awesome, and this was funny and very informative. Awesome!

Thanks for this great bit of history

Thank for enlightening me on this controversy. It was well presented and unbiased.

Well done. Good video.

Thank you! Well done!

Barrow, Fermat, Descartes, Cavalieri, Barrow and others had laid the foundations of calculus in the generation before Newton and Leibniz. Neither should be called the father of calculus. Building this branch of mathematics was the collaborative effort of many people over many hyears.

"Taking mathematics from the beginning of the world to the time of Newton, what he has done is much the better half." - Gottfried Wilhelm Leibniz

I use both methods when I write derivatives. Depends on if it's a time derivative.

The cookies were a continuation of the controversy. Both Fig Newton's & Leibniz Keks were first made in 1891. It is a question whether one of the names was given to one of the cookies to offset the fact that the honor had been given to one but not the other of the two mathematicians. (In fact, Fig Newtons were named after the town, Newton Massachusetts and so only indirectly to Sir Isaac.) The bottom line is that if you devise a new branch of mathematics, you can end up with a cookie named after you.

Why is this so loud at the begining?

Awesome! Thank you so much! I think Newton's physics is what has made him way more recognized than Leibniz.

Brilliant effort, thank you gotthegist

great job!

Thank you!

Newton's wig was way cooler

brilliant video

Great video. i love the little comments the mathematicians make!

why dont you use 3D studio or MAYA

Newton is to physics as Leibniz is to mathematics.

This is great!! Love it!

Awesome!

I´m from Veracruz Mexico and I make in a video about Calculus, I talk about Newton and Leibniz, and wander if I can use some of your cartoons to illustrate my video, the video has no economical intentions, is to make clear some of the concepts. Your cartoons are very fun,

One thing - Newton's "dot notation" is not the same thing Lagrange's "prime" notation. The dot notation puts dots above the dependent variable instead of using function notation.

Didn't think it was possible to think I was any dumber, then I watched this video.

Can someone name all the people named in the video? i am having a hard time figuring them out.

Great is the gravity of this controversy

The level of mathematics that we develop and use is limited by our ability to perceive higher dimensions. If we were able to see and perceive in higher dimensions, then the level of our math would reflect that reality.

You tell em' bro.

Calculus is easy, it's the trig and algebra that trip me up! Though, Calculus was when math REALLY got fun for me!

I donot like as we can not download videos directly we need to struggle hard to it

Good video, you forget to mention Alhazen (Ibn_al-Haytham) who also contribute in this. At the beginning of the video you mention the ancient greek, the indian, then the european. But you forget Alhazen. { Alhazen (c. 965 - c. 1040 ce) derived a formula for the sum of fourth powers. He used the results to carry out what would now be called an integration of this function, where the formulae for the sums of integral squares and fourth powers allowed him to calculate the volume of a paraboloid. } en.wikipedia.org/wiki/Calculus#History en.wikipedia.org/wiki/Ibn_al-Haytham

Sources please?

"Quite honestly, I don't even know who Sir Joseph Swan is!" Inventor of the light bulb :)

Really interesting :)

We Indians have contributed so much is field of science but we never get shout out for that.

Source please?

The key point is that these two geniuses worked together (inadvertently) through their correspondence, and building upon the works of those who came before (e.g., Pascal), discovered calculus independently - each approaching the work from his area of interest. The moral of the story is that a "careful analysis" of papers led to solving the controversy: always go to the primary source if you want the truth. Read the autobiography before the biography.

why they discovered

Gottfried Leibniz was the founder of Calculas. He used the signs of integration & Differentiation.

Both men were genius. However Leibniz produced more materials in all subjects and was much more prolific.

Man, I got short of breath just listening to this guy.

LEIBNIZ keks part was hilarious :D one of my favorite biscuit here in Germany

6:01 that's not Newton's dot notation, that's the Lagrange notation

aryabhatta of india does not use acrhemedies work on tangent at all.

aryabhatta of india does not use acrhemedies work on tangent at all. in fact his work is the first one which directly relates to calculus.

Das war großartig. Sehr schön.

Somethings to point out here, first, contemporary political circumstances greatly favored Newton as GB was a unified nation while german speaking world was divided into smaller less influential states with no concept of pangermanism. Secondly the following era was even more favourable to newton as GB was to become a super power with dominant culture and political influence. Thirdly how can we trust the mathematical intuition of people, thats is the anglosphere of concerned time, who had rejected a superior system proven by time.

Please put a pop filter (or a sock) over your mic next time. As an audiophile this is extremely hard to listen to. Great stuff though!

Whilst I think this is a great video and gets a lot of the fundamentals across. I think theres a key thing that needs to be discussed here. Newtons 'Principia' actually did not have any calculus in it and actually was very sparse in methodology (perhaps mirroring the ancient Greek way of keeping one's method to himself- we know he read the likes of Pappus and Euclid so this could be a reason as to why he didnt publish much of his earlier work until much later.) Leibniz's work was published "first" but at this point Leibniz and Newton had conversed via letter about calculus (see Newton's coded message to Leibniz) which is the true origin of the priority dispute. [you can see the stuff about Newton and the Greeks in Guicciardini's work in 'the Oxford Handbook of the history of mathematics'. Note this is not to dispute Newton's importance to calculus, I'm just very pro both of them being credited lol

Continued In fact Swan went into litigation against Edison who lost the court case, as it was Sir Joseph Swan’s design. In the end the pair come to an agreement and set up the Edison Swan Electric Co, in London.

Thanks, really neat! Nice!

Leibniz visited England and had many pieces of information that he likely based calculus on, come on, you really think 2 people by coincidence discovered the same thing within just a few years of each other, that no one else came up with in thousands of years of human mathematics? It's just like when the Wright Brother's wing designs got stolen or when some of Tesla's inventions were stolen, there are only some rare cases of the same invention or technique being done at the same time, but because we have a backwards peer review system that prioritizes who published first, Leibniz got credit for it, recently some notes have been discovered that directly show how Leibniz used Newton's work to create his version of calculus

Thanks, enjoyed it! :)

They both did, but Newton was known to be a complete and utter bastard.

@2:31 GASP!

ride of the valkeries

Why does he have only 450 subs?

The naturally occurring relationships "that had always been" were indeed discovered. However, mathematics consists of entirely human created systems, and as such calculus and all of mathematics is invented, not "discovered".

Your presentation does indeed make clear that Newton & Leibniz were links on a line of evolution in mathematical understanding, but you did unwittingly slip into crediting "discoveries" (of that which has always been) as "inventions". As implied in the video itsel, no-one invented Mathematics, they discovered it, then developed useful notation & codification for its full expression. Same as with any other branch of knowledge, which is universal.

People come up with the same ideas all the time.

Loved it ❤