History of Calculus - Animated

Everything you need to know about calculus... in 7 minutes.
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REFERENCES
[1] The birth of Calculus (1986): • The Birth Of Calculus ...
[2] Brief History of Calculus: www.wyzant.com/resources/less...
[3] Calculus History: www.math.uh.edu/~tomforde/cal...
[4] Timeline: www.math.uh.edu/~tomforde/tim...
[5] What is Calculus? Definition and History: study.com/academy/lesson/what...
[6] Controversy: www.fitchburgstate.edu/upload...
[7] Babylonian Calculus: • Math whizzes of ancien...
[8] Sexagesimal: en.wikipedia.org/wiki/Sexages...
[9] Nice video: • Introduction to Calcul...
[10] Timeline of Calculus: prezi.com/zp6jszu6xne8/timeli...
[11] India Vs Newton: www.manchester.ac.uk/discover...
[12] Madhava: www.storyofmathematics.com/in...
[13] Babylonia: www.ancient.eu/babylon/
[14] Science and Tech in India: web.archive.org/web/200608211...
[15] Article in language you don’t care about: web.archive.org/web/201407142...

[@harikrista]

Great presentation of calculus. Now we know calculus wasn’t an overnight discovery to explain gravity, motion of falling moon.

[@prabhulingayyahiremath6142]

Being an kannadiga(karnataka, india) ,I am very much happy that you have used our great mathematician BHASKARA 2 's epic book Leelavathi as an illustration in the middle of explanation, a big thank you, proud to be an kanndiga ಕನ್ನಡಿಗ

[@pj4314]

Kannada ❤️

[@Gaurav-do3im]

Proud to be an indian ❤️❤️

[@dilipharish9932]

Kannada ❤️

[@theimperfectguitarist974]

Nanuuu bro😁😁

[@It9LpBFS37]

Cool bro

[@superlambmilkshake4904]

3:55 Its actually really easy to understand, its like throwing a rock into the air, when the rock reaches its highest point, at that exact highest point before it starts falling becuase of gravity, its intantaneous speed it zero becuase it slowed down as it went up, stopped at its highest point, then started accelerating to the ground. Now imagine that but an elliptical path of a planet orbiting another object, the longest side of the oval is when it is the highest point

[@thegreatkeljb]

Doesn't that only apply to things that you throw in a straight line? If I throw a rock in a curve path, it's instantaneous speed will never reach 0 even on the peak of the curve.

[@npkpchannel4505]

I am indian too, don't just blindly defend , there is always a tangential velocity in an elliptical path, its a fact , and mistakes happen

[@paige6467]

it's easy to say this now because everyone knows it already...

[@amitpatil-zz6lz]

@@thegreatkeljb bro gravity?

[@pepperbytez8128]

@@thegreatkeljb its vertical speed will.

[@Nostradamus_Order33]

I learned something, I didn’t know. 🙏🏻

[@JustsomeSteve]

can you learn something you did already know? (Just being a smartass over here :) )

[@sameerkatte4895]

3 years and you still reply to comments. Tou are really hard working lol

[@DrumsTheWord]

This was well structured and well argued. Newton himself made the quote about "giants"...a clue perhaps to his insights. He may well of learned from the past rather than being a statement of humility.

[@gabem5635]

He was marking fun of Robert Hooke in that “quote”

[@fernandoraphael95]

Awesome video ahahahah thanks for the info!

[@mrscientist2511]

truely informative thanxx a lot.

[@anshumaan1024]

Atleast you showed other mathematicians !! Thank you

[@Shaeffen_]

Great summary. I'm surprised someone was able to aquire this information in order

[@clueless9447]

Instantaneous speed of the planet is 0 which means the velocity of the moving planet is uniform and if the uniform velocity changes then so will the value of zero which represents constant or neutral velocity

[@Nediler]

I did all Calcs in Engineering school - partical differential equations (PEDs) being the most brutal - but its crazy how people thought of this shit. Blows my mind....

[@nsiety]

Could you do a video on history of calc after Newton and leibnitz ...like the rigorous foundations done by Cauchy, weierstrass and riemann

[@rohitbobli2023]

Awesome video ⭐✔️

[@ShimoriUta77]

Before this video I only knew Renal Calculus. Ty for the enlightenment

[@anoopantony5072]

The Jyesthadeva's Ganita-Yukti-Bhasa (1530 CE) written in Malayalam that contains the proofs given by Madhava the first book of calculus even before Newton... After the Portugese came to Kerala and they passed the work into Europe. Unfortunately the Kerala school of Mathematics came to an end because of European invasions of Portugese, Dutch and English. Thus all the mathematical works were destroyed or we can say that the kings were in constant fight with these powers. It is said that father of father of malayalam language eEzhuthachan move to other part of Kerala as the place he lived was having constant fights for European forces.

[@karag4487]

Where's the proof?

[@mauryanempire7503]

Please provide evidence

[@wishfulthinking1530]

Yes you're right. Europeans and americans are thieves. They stole ancient knowledge works and claimed them to be invented by them!!!

[@bjornfeuerbacher5514]

That book contains some series. But calling it the first book of calculus would be quite a stretch. It contained neither something like integrals nor slopes of tangents, not even talking about the fundamental theorem of calculus.

[@Thanos-hp1mw]

When you can read and completely understand texts at 3:59: UNLIMITED POWER!!!

[@aakashtivari7828]

As an 12th class student I never get deferentiation & integration, always seemed a thing I cannot know, but now after learning their application I want to learn about this

[@nickharrison3748]

differention is rate of change between 2 quantities. e.g if you have a equation or a formula describing relation between 2 quantities and you want to know how one quantity varies when the other quantity is changed, then its called derivative

[@NeetAspirant-hc9gu]

​@@nickharrison3748then what is the integration I'D love to understand them with concepts rather than rote learning

[@HopDavid]

The foundations of modern calculus were laid in the generation before Newton and Leibniz. It was Fermat who first described how to find the slope of a tangent to a curve. And Cavalieri who figured how to calculate the area under a curve -- Google Cavalieri's quadrature. Neither would have been possible without the invention of graph paper with an x and y axis. Which was developed by Descartes and Fermat.

[@sebastianbalbo1906]

Nope aryabattha BRAHMAGUPTA BASHKARA SECONDO MANJULA MADHAVA

[@bjornfeuerbacher5514]

Actually, finding areas under a curve was done long before Cavalieri, already by Archimedes. And Descartes had a method for finding the slope of a tangent virtually at the same time as Fermat.

[@HopDavid]

@@bjornfeuerbacher5514 Thanks, you're correct. I believe Eudoxus was also calculating area within curves. I should have specified area under curves drawn on Cartesian coordinates. I was startled to see Cavalieri's quadrature. It was what I learned in freshman calculus, integral of x^n = 1/n x^(n-1) I didn't know that Descartes had also found a way to find slope of a tangent to a curve.

[@queensmate5224]

The language is kannada.. what it says is some what related to max and min kinetic energy of pendulum at extreme points middle point.

[@yoongles3722]

lmaoo the silence when Gottfried was introduced

[@mdmahfuzalamabir425]

which software did you use to make this video?

[@yungoz7608]

Bro i was high as a mf kite and asked myself how tf did calculus come to be.......now I am here.

[@CodeEmporium]

We have an intellectual in our midst. It's a shame you're going to forget about this tomorrow :/ oh well, you can watch it again

[@Sangeychhonjin]

Love from Tawang, Arunachal Pradesh, India.🙂🙏💜

[@Sangeychhonjin]

@it's oblivion haan ji zaroor

[@CASHSEC]

Now that's what I call a good factual video.

[@CodeEmporium]

Now this is what i call a great comment

[@soilmanted]

I love math history.

[@CodeEmporium]

Me too!

[@skysmirk1369]

I really appreciate the research you did to make this video! It is so rare to find math history that is not European/Greek-centered. Thank you for sharing the Indian mathematics and mathematicians that contributed so greatly to our calculus. Do you have any books to recommend a math history nerd that covers Indian contributions? And contributions from other areas of the world that isn't dominated by Western thought?

[@anirudh177]

_Indian Mathematics: Engaging With The World From Ancient To Modern Times_ en.wikipedia.org/wiki/Indian_mathematics#:~:text=From%20Wikipedia%2C%20the%20free%20encyclopedia%20Indian%20mathematics%20emerged,scholars%20like%20Aryabhata%2C%20Brahmagupta%2C%20Bhaskara%20II%2C%20and%20Var%C4%81hamihira.

[@mauryanempire7503]

Every civilization had contributed to some elements calculus which had led Newton and leitsberg in the creation of calculus

[@sampatkalyan3103]

@@mauryanempire7503 LOL the subject of calculus is it self a Indian thing. By saying this you are trying to lessen the credit which should belong to Indians.

[@karag4487]

@@sampatkalyan3103 you Indians are just begging too much

[@sampatkalyan3103]

@@karag4487 you westerners are the same ones who did the begging from the start of the civilization and also still doing it till now. Otherwise you people resort looting stealing and or putting your stupid name in everything which don't belong to you.

[@curtpiazza1688]

Cool video! 😂🎉

[@MK-lh3xd]

4:03 The language "you don't care about" is Kannada, the language of the state of Karnataka in India.

[@polaris1985]

Mughuls burned down the greatest library of mankind in Nalanda University 9 Million books were burned, I bet it had all the maths we use today.

[@yizhang7027]

The ancient Chinese did something similar to the ancient greeks for calculating PI.

[@StraightToTheAve]

My brain can’t comprehend how some things were created

[@theimperfectguitarist974]

4:00 I literally jumped seeing my language (kannada) in the video!!!

[@dinkarupadhyay7696]

It was originated in india India -----> Persia----> middle east------> Greece ----> whole europe

[@Newmoon19]

By Madhava?

[@jinmin3471]

Are the dates accurate? Thanks for answering 😁

[@anirudh177]

Nope, the Greeks and Indians developed it separately and Independently, around the same time.

[@prafful_sahu]

@@anirudh177 greeks learned it from india. europeans didnt invent anything all this knwledge was stolen fron india.. europeans themselves are descandants of indians who lost the war and were kicked out from india 5k yrs ago.

[@anirudh177]

@@prafful_sahu Lmao another anti-Indian distorting Bharat's history for his anti-Indian agenda. That also didn't happen, also you're doing the same thing as what Colonials did to Indian history, by claiming that they didn't invent anything. please learn Indian history, you anti-nationalist India hater.

[@w3dgeYT]

me curios how its made. After finally understanding the area bounded by the curve for almost 2 semesterr of tryinf

[@bharatmodi4860]

3:42 India comes into action

[@kaceobrwa7039]

The Babylonian tablet you are talking about is from 900 BCE , but in india you can find evidence of mathematics from atleast 2000 BCE

[@chutenderchodi7369]

@@descendedofrigvedicclans2216 ....lol, in a Bollywood movie??

[@rajneeshprasad9774]

Mathematics is not all about calculus it also has many other branches and the person is only telling about calculus not the whole mathematics

[@chutenderchodi7369]

Timmy can you quote that evidence of 2000 BCE? Ps note I am asking real reference not some mythology

[@ushasuresh8632]

3:40 🤣🤣 why you showing t series..??

[@roseescritor8894]

AHAHAHAHAHA 😂 I love your drawings!

[@CodeEmporium]

Finally someone who understands!

[@abeerfatima5389]

so true, it was entertaining and educational, watching the head of bhaskara 2 on stick figure, still crack me with laugh

[@yt-sh]

@@CodeEmporium you explained differential with banana, motion with tom and Jerry and its only been 30 sec, I subbed!

[@marktulo]

GOOD MORNING, SIRS

[@kingpin433]

Madahava is from malayalis place kerala

[@dwaipayandattaroy9801]

Summ xdx = intergrating = Collecting variable = it suppose my beads neckless broke and They need be re fixed but Sumthing is there that needs been aware of for collection . what is it. knowledge of how many beads were There in the unbroken Chain , is this making Sense .

[@zerotoinfinity8734]

❤️💯💯✔️

[@hummandstrum3624]

Harrapan civilization was the first to find calculus ..basic calculus ....

[@xy1877]

🤣🤣🤣

[@chutenderchodi7369]

Lol wow 😳

[@Rabiashah12345]

Respected sir .hope you are well. This is a great video. It tell us history of calculas. Thank you so much for your Precious effort....I am writing my math project about differential equations. I need history of calculas. Your this information about calculus is very useful. But can you tell me name of that book from which you have studied this history. Because if I will use it. I will need references of the book.

[@CodeEmporium]

Appreciated. Honestly, it's been a while since I made this video. But the information i used wasn't from a specific book. Just random knowledge I'd come across and decided to compile into this video.

[@Rabiashah12345]

@@CodeEmporium . Now what I 'll do😭😭😭😭

[@Rabiashah12345]

@@CodeEmporium OK. I can understand. But can you tell me any book contains history of calculas. Bcz. I have searched many books. But not a single book had this information that you have given with time record

[@CodeEmporium]

The best i can say is try using this video as a starting point. Google concepts that i mentioned here. Start reading material of these googled concepts from various sources. And if you follow that rabbit hole, your understanding of the field will be rock solid.

[@rithviktulasi5130]

The language of the written by Bhaskar is kannada A language of India

[@samdude2.o327]

As a guy whos mother tongue is kannada i fell proud😄

[@ayeayecaptain6249]

4:09 neutwan , laibineez - lolz.

[@kenesufernandez1281]

✨💖

[@turbogaming8808]

Whatttt new born in 1942 and conceived calculus in 1660's??? He must've been like 18-28 years old that's quite young.

[@indriyantoYin]

Teacher: Who invented calculus? me: I dont know... maybe a random Babylonian astronomers??

[@prafful_sahu]

indians. babylon like others were tiny pony civilizations compared to india. they are the descandants of indians who were kicked out from india 5k yrs ago

[@nsiety]

5:56 😂😂😂so funny

[@ardaehi]

My respect to Newton has been doubled since i learnt he invented the calculus

[@kaceobrwa7039]

He didn't invent calculus .

[@ardaehi]

@@kaceobrwa7039 well of course not completely but we can count him as a father of calculus

[@archivesoffantasy5560]

@@ardaehi and he was only 24

[@prafful_sahu]

lol europeans didnt invent anything all this knwledge was stolen fron india.. europeans themselves are descandants of indians who lost the war and were kicked out from india 5k yrs ago.

[@unitedstatesofamerica4737]

@@kaceobrwa7039 he invented the modern calculus indian version is not used during modern times

[@RajSingh-uv6eq]

i laughed so much when u symbolized india with tseries haha

[@hajiabdulaziz256]

what is the use of calculus in computer science

[@CodeEmporium]

At the moment, I use it a ton when dealing with machine learning (which is the rest of my channel )

[@yaminevire7854]

I am from Bangladesh ❤❤

[@____aneesh._]

Pls care abt kannada cause its my language🙏🙏

[@CodeEmporium]

Yep!

[@jaysoncruz1821]

Im doing my 1st year of aerospace engineering and ill tell y'all calculus ain't fun at the beginning for me. Takes time required to learn.

[@CodeEmporium]

But it's useful right? :)

[@Blooper17]

Its useful right...

[@merryhunt9153]

Leibnitz is pronounced Lipe-nits. Lipe rhymes with pipe.

[@lanziviersuson5288]

3:06

[@hidum5779]

you missed Seki Takakazu who also independently invented calculus. BTW Aryabhata (5th century CE) also had the idea of instantaneous velocity almost 1000 years before newton. He also gave numerical solutions which now are known as Euler's method. He pioneered in difference equations as well. Also, Aryabhata didn't invent zero, it was known before him.

[@bjornfeuerbacher5514]

I read up on Seki Takakazu, but didn't find anything about him inventing calculus. What do you mean? Also, I didn't find anything about Aryabhata already having the idea of instantaneous velocity or any connection to Euler's method.

[@ajokaefi]

... Leibnitz was the first to publish (that's how we know who does it first in Science)

[@randalthor647]

Published by stealing?

[@appleslover]

@@randalthor647 how would he steal something he hasn't seen from a guy in his twenties who he have never heard of?

[@burgerqueen1633]

@@spiderman-gt1mm typical indian mentality 😂

[@spiderman-gt1mm]

@@burgerqueen1633 my ancestors are from Iran.. However my ancestors were settled in India...

[@spiderman-gt1mm]

@@burgerqueen1633 Madhava of sangamgrama en.m.wikipedia.org/wiki/Madhava_of_Sangamagrama Bhaskarcharya II en.m.wikipedia.org/wiki/Bh%C4%81skara_II

[@SebastianSanchez65]

you know it’s pronounced LAIBNIZ

[@CodeEmporium]

And now I know

[@chethan9089]

yes he pronounced names-newton- leibnitz like a native kannadiga..so funny

[@adityakumarstuffdoer9591]

Actually a 14th century mathematician named madhava lived in kerala and used advanced calculus in his scriptures. Most of you don't know this and dont assume I'm lying you can look him up It's proved that he knew calculus before newton or lleibnez The mainstream just doesn't tell it to you cuz all books are written by westerns nowadays

[@simplepointstudio6210]

Most mathematicans knew calculus before Newton and Leibniz, they just made it "kinda" official. The video itself literally elaborated it.

[@Love_hardwork]

Iraq ❤ my country did a lot for the earth 🌎

[@murdock5537]

His name is Gottfried-Wilhelm Leibniz, not "Liebnitz" nor "Leibnitz".

[@lauziyi5728]

Why did they do this

[@sebastianbalbo1906]

Aryabattha BRAHMAGUPTA BASHKARA II MANJULA MADHAVA...eudosso archimedes never proofed to be existent for real..

[@sameerkatte4895]

Me who actually knows Kannada and is watching this: Ha, the cheek this guy has! Like and subscribe lol.

[@CodeEmporium]

Many thanks! :)

[@kaceobrwa7039]

I like how he completely ignores the 300 years of Kerala School of mathematics, from 1300 to 1600 , and gave credit to Newton . Anyways..

[@hardikmehta3087]

Ya man! Madhava ( actually invented calculus 300 years before newton) is underrated...😕😔

[@anirudh177]

how? didn't he just talk about Madhava?

[@garvs3thi]

@@hardikmehta3087 A) Calculus was not invented it was discovered lol B) madhava was a gr8 mathematician who made a lot of important contributions the bhasakara 2 guy also proved something which we prove today using Langrange's Mean value theorem(he didn't prove langrange's theorem just a result which is proved using langrange's theorem) but madhava and bhaskara both didn't discover calculus both put forward important stepping stones but at the end it was leibinz and newton who tied it all together mathematically

[@vaibhavkrupakar240]

@@garvs3thi he stated rolle's theorem- directly and mean value theorem indirectly, neelakanta states it exquisitely

[@garvs3thi]

@@vaibhavkrupakar240 Using a theorem or stating it is not same as proving it my friend the person who proves a theorem is the one who it credited with it him using it doesn't mean he invented it because there is no proof he derived it like I can state the unproven collatz conjecture but it doesn't mean that i can be credited for it's proof

[@anirudh177]

the Greeks and Indians developed it separately and Independently, around the same time.

[@johnconstantine8574]

Greek never developed the idea “0” Basic ideas of infinitesimal calculus shouldn't predate 7th century.

[@AdamasOldblade]

Video is too difficult to understand

[@ved1749]

Anyone Intrested in calculus in 2021 ? like me

[@spiderman-gt1mm]

I think it was discovered in india..

[@ironmandedanadan9653]

But it is sad that only few people know the truth.

[@AhmedMahmoud-tv9vw]

Yeah, India doesn't get much attention. Fun fact: Arabic-numerals are called indo-numerals in the middle east. It is just the Europeans who call it Arabic numerals.

[@in-human1698]

No it's not

[@times2508]

www.cbc.ca/news/technology/calculus-created-in-india-250-years-before-newton-study-1.632433

[@anirudh177]

The Babylonians did it first, then Indians and Greeks did it.

[@nightmare9597]

The stupid people have filled the comments 🙄 Great video btw!

[@aaditya7547]

Fr

[@truedecors5941]

Hope your research end in TamilNadu

[@atmospheresports6543]

I searched for this to know the people who made my life miserable.

[@nicholassanchez7798]

ikr fuck who ever invented this stuffs

[@zackfoster8946]

Omo yes ans also to generate some interest in maths so that i can be genuis which i can never be.🤣

[@MadMax-ph1rl]

All this hindu Indian scientists where really selfie to keep there studies and research to a certain group And when someone from West discover out the completely same thing like after 200 or 300 years they started saying "no we discovered it hundreds of years ago " . So why don't you spread that knowledge Because of people like this the your science knowledge and this so called modern world is 100 years back in time

[@J3R1N]

6:29 they suk !!

[@ryanjagpal123]

Isaac Newton was one of the smartest people and yet he made something so stupid and nothing to do with maths and just Greek symbols that make no sense at all, and idk why people even do it

[@anirudh177]

what?

[@prafful_sahu]

newton like other europeans didnt invernt anything it was all stolen from india

[@ryanjagpal123]

@@prafful_sahu I didn’t think India would be that intelligent, I’m Indian and I am far from very smart

[@kshitiz6926]

You could avoid making fun of the accent and language. It was totally unnecessary and stupid.

[@Legnica148]

This has no sense at all. Calculus is defined by the Fundamental Theorem, period. Thinking of infinitesimal stuff has nothing to do with "inventing Calculus" or not. The thing that makes Newton (and Leibniz) really out of the curve it that he (they) actually thought about the integral and derivative relationship. Please don't spill stuff like this as if this was something understood during Babylonia times... "Of course it didn't" got my nerves bouncing lmao... Please please understand what you are talking about beforehand. Seriously what the hell do you think the geometry thing during the first section has anything to do with it? And you don't even mention Euclides? Embarrassing really. And the second section was only actually applied to the fundamentals with Riemann... Calculus is the fundamental theorem, not "infinitesimal stuff". THESE OVER THE SHELF MATEMATICIANS ARE GETTING OUT OF HAND.

[@mdsk7623]

So this is the guy that ruined my life

[@kappascopezz5122]

Sorry I can't continue watching this if you keep pronouncing it as Liebnitz

[@tatakbikol6256]

greek yogurt 🤣

[@minhsieuquay8164]

yess 6:22

[@anassben3333]

T-series XD XD

[@CodeEmporium]

It's lit

[@superduper9732]

Calculus was originated in India

[@mauryanempire7503]

Nope it is unknown where it was originated

[@itsoblivion8124]

@@mauryanempire7503 nope this is not unknown

[@mauryanempire7503]

@@itsoblivion8124 first it was originated in Babylonia according to some reports but nobody knows where it was first originated

[@rki7068]

According to this video, the Greeks and Babylonians

[@englandhanuman8079]

Sir Isaac Newton

[@CodeEmporium]

A fine sir indeed he was

[@englandhanuman8079]

@@CodeEmporium because the universe boos

[@alitlweird]

Newton invented Calculus™️ when he was 22 years old. If you ever feel unaccomplished in life, just compare yourself to Newton.

[@prafful_sahu]

newton is european and european didnt invent anything it was all stolen from india.

[@rajneeshprasad9774]

@@descendedofrigvedicclans2216 just read how libiniz did it

[@mauryanempire7503]

@@descendedofrigvedicclans2216 good joke ever heard 🤣🤣🤣 it was already knew to Babylonians

[@Legnica148]

@@mauryanempire7503 Please show me where. I truly am super eager to see. On the other hand, I have a book called "Principia" which will show, documented, everything you say the Babylonians did beforehand.

[@xtentacion4167]

Its disappointing to see that talented people like you who make informative videos get so less views but idiots like mr beast who have no talent but keep on doing random shit get so many views.

[@jinjunliu2401]

Babylonians were first!

[@prafful_sahu]

no indians were.

[@chutenderchodi7369]

@@prafful_sahu ....did indians invented calculus while p00ping in the open??

[@mauryanempire7503]

@@prafful_sahu no it's Babylonians

[@bjornfeuerbacher5514]

Oh, come on, when you write about the history of calculus, you should get the name of Leibniz right! And no, "cuneiform" is not a name for the clay tablets, but is the name of the writing system! Two quite basic errors already in less than two minutes. Congratulations!

[@atoufaz4334]

i hate calculus

[@mollysullivan6414]

greek. yogurt.