History of Calculus: Part 3 - The Historical Motivation
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- Опубліковано 15 сер 2023
- This is part 3 of the series: History of Calculus. Where I talk about the origins of calculus from ancient times to modern history.
In this video I talk about the motivations that led to the discovery of calculus.
To support this channel:
- Buy me a coffee: www.buymeacoffee.com/tareksaid
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- Super Thanks: You can find it by clicking the 3 dots under the video
Notes:
- 0:05 The work of the ancient Greek mathematicians was forgotten and was confined to libraries scattered around the mediterranean. Almost a thousand years later, Arab and Muslim scholars translated the works of the ancient Greeks and revived some interest in studying curves, and although they made great contributions to the study of curves, they stayed within the limits of the method of exhaustion.
- 0:05 During the 2000 years' gap, mathematicians in India, particularly in Kerala school of Astronomy and Mathematics, made discoveries similar to what we may call today calculus, while their work is brilliant and has elements of calculus, it can not be called calculus. I will make a separate video about their brilliant work in a later video in the series as it gives an understanding of calculus from a different perspective. One based on arithmetic more than on curves.
- 1:13 It is important to note that many mathematicians are not necessarily motivated by the practical applications of mathematics and are interested in mathematics as a form of art, however, when other factors like political, cultural and economical are at play, we can see how the absence of the practical applications of geometry shifted the focus away from it.
- 7:25 Galileo later found that the motion of objects in free fall is uniformly uniform.
- 13:34 Such a rod doesn't exist in nature and is used for demonstration purposes only.
- 15:07 Finding the differential equation of the water from a tap is not possible since it is assumed to be done randomly.
-17:06 The origin of the cycloid is not clear, some historians proposed that it was known to the ancients, while others think it was discovered in the 15th century and others proposed that it was only discovered in the 17th century.
- 20:29 The Copernican model was already known at the time but it wasn't accepted. Another model that also existed was proposed by Tycho Brahe. Tycho assumed that the planets revolved around the sun, but the sun revolved around the Earth. Having said that, the most commonly accepted system at the time was the Ptolemaic system which is the one shown in the video.
References:
- The Historical Development of the Calculus | C.H. Edwards
- The Origins of Infinitesimal Calculus | Margaret E. Baron
- The History of the Calculus and its Conceptual Development | Carl B. Boyer
- Infinite Powers | Steven H. Strogatz
- Calculus Reordered | David M. Bressoud
- Historical Stages in the Definition of Curves | Carl B. Boyer
I love your style. You don't dumb down the concepts but instead find ways of communicating the concepts that are accessible. It is a pleasure to learn this history from you.
Thanks for your kind words. I am glad that you found it easy to understand and not dumbed down :)
I believe that this is the power of the history of mathematics. When mathematical ideas were first conceived, they generally were intuitive and not too abstract. They only became more complex and abstract after they evolved. I really believe that the most complex/abstract concepts in mathematics become really easy to understand once we look at them from a historical perspective.
Historical facts are the best approach to learning subjects of complexity.
I found the history of natural logarithm video, binge-watched the calculus ones and now i find out you just released the 3rd! Please keep making this series, looking forward to it :)
Oh wow interesting. I didn't publish it yet. It's interesting that you found it! I was planning to publish it later tonight as I may need to re-upload it.
Thanks for your encouraging comment. I really appreciate it :)
1. Tarek, first of all, congratulations for your outstanding work. I really like your videos very much. Please keep on posting.
2. A little piece of advice from a humble and still small UA-camr: to avoid your (still) unlisted videos being found and watched, do not link them to any of your public playlists when you upload them.
If any given playlist of yours is public and if you upload a new video, keep it unlisted but link it to that playlist, then that video will be accessible through that public playlist.
Until you finish reviewing your videos, you can try marking them "private" instead of "unlisted". Or, better yet, don't link them to any of your playlists until you decide to make them public.
3. Looking forward to seeing the next episodes of your amazing series 👍
@@mariusmarius3628 Thanks, I’m glad you like the series. I’m currently working on the upcoming video. Hopefully you would like it too.
I suspected that was the case regarding the public list for an unlisted video.. Thanks for confirming it.
All the best with your channel :)
When’s part 4?
I wish you were my math teacher when I was young. I hope you will have the passion, the motivation and the discipline to continue making these videos.
Thanks and you are right, these three things are very much needed for the journey of making videos and I am determined to continue :)
When’s the next video?
I hope this channel grows and you continue to release more fascinating videos. Absolutely amazing content
Thank you.
Thanks for your wishes and kind words Asif. I really appreciate it :)
Man your seria is absolutely brilliant. Please continue to do this. I can’t wait to see the next video!
Thanks a lot Anatolii, comments like yours help me keep going. I am currently working on part 5. It is about how mathematicians studied curves before calculus, and the part 6 is about how Newton and Leibniz discovered a shortcut that we call today calculus. I hope you will like them
Holy shit, I dont remember when I have felt such an enlightenment and clarity after watching any math videos here. This series is so good, its like made from future, when they finally got how to teach properly. The design is also amazing. The author is definitely one of high souls living on planet our time. Thanks, and I wish you all the best!
What a lovely and encouraging comment. It really inspired me. I am currently working on parts 4 and 5 of the series and I must say I do have moments of doubt and I wonder about whether the effort is worth it. But then I read a comment like yours and it motivates me in those moments. Thanks a lot. I really appreciate it
I cannot expess how masterfully you explain each concept, and the history series is just so good, keep up the good work 💯
Thanks for your encouragement and your kind words. It really means a lot to me and I am glad that you like my style
Great and understable video. Really like this series of the history of calculus and videos about the history of mathematics in general. Looking forward to your next video and I'm really glad that I discovered your channel a while ago.
I’m really glad you like the approach and I hope you will like future videos too.
Thanks for your kind, supporting words, it really means a lot to me :)
Terrific explanation. Looking forward to your description of differential and partial differential equations.
Thanks.. I will definitely be talking about differential equations and partial different equations. Probably in a separate series
You are an amazing orator. Every statement said is a bullet of information, dense and precise.
Thanks a lot for the lovely comment. It really means a lot to me. I try to make the sentences as concise as I could and it is so great to see that it has been noticed. Thank you :)
This is a wonderful series. It is very illuminating, very enjoyable to watch, and with a great narrating style. Please continue until its logical conclusion. It is a gem!
Thanks a lot for your kind words and encouragement. I really appreciate it. I am determined to finish the series :) I know it has been taking me so long, but I am getting there. I am currently working on parts 4 and 5 and will release them together. I hope you'd like them
Thank you for your outstanding work! This is a wonderful share!
Thanks for your continued encouragement and your kind words. You’ve been supporting me from the beginning and I really appreciate that :)
Fantastic videos! I'm looking forward to the rest of this series.
Thanks, I really appreciate your comment. I am currently working on part 5. It is about how mathematicians studied curves before calculus, and the part 6 is about how Newton and Leibniz discovered a shortcut that we call today calculus. I hope you will like them
Such a magnificent work.!
Thanks a lot ❤
Tarek, you have no idea how influential your work has been for me. I always wanted to learn physics, mathematics and philosphy through the lens of history because mordern science tends to overcomplicate things which leads people to lose interest. The way I found your video was also by chance that I decided to learn more about what a log is during my vacation, and stumbled upon calculus! Thank you so much for making these videos and have definitely subscribed to you and will be looking forward to your next video!
Thanks a lot for your lovely comment. It really means a lot to me and apologies about the late reply, I have been off my channel for a while but now I am back on track :)
I totally agree with you how modern science tends to overcomplicate things. Also, it tends to remove any human element from the picture and be content with dry, abstract information.
I am so glad that found that channel and I hope you will like future videos too!
Tarek, your channel is awesome. Some of the clearest and best explanation I've ever heard. Absolutely love it and can't wait for more!
Thanks a lot Steve, I am glad you find the explanations in the channel clear and I am working on part 4 of calculus now. I hope you'd like it
Was very eager for the next upload!
Thanks, I hope you’ll like it :)
Could you possibly do a video how Hindu Mathematician worked out the series for Sine, Tan, Cosine and the Taylor series and infinite series for calculating areas under curves from a historical perspective please.
Absolutely, as mentioned in the other comment, I will have a special video about the work of Aryabhata, Madhava and others in the school of Kerala for Astronomy and Mathematics. I will focus mainly on the series you talked about. My understanding though is that they didn't view their work as areas under curves though, but more as interpolation of these functions
Thank you so much Tarek. I can only imagine the amount of time you have dedicated to producing these beautiful and powerful videos. They flow out of the screen so clearly and naturally that the effort required to produce them is completely invisible. Because we receive the information so easily it creates the illusion that they were easily created. I suspect that they are in fact the product of many many many hours of concentration and hard work. (coupled with your gift as a teacher) I am a 55 year old who is only now learning calculus, and I found your videos to be incredible. I absolutely love them. Thanks again.
What a lovely comment! I really appreciate it. You are right, these video took a lot of time to make hence the delay between them. My aim/hope it to make them as smooth as possible but I always have doubts whether I am achieving this goal and whether it is worth the effort. But then I see comments like yours that really inspire me and motivate me to keep going. Thanks a lot.
It is great that you are learning calculus and that these videos are helping you, I hope you would like future videos in the series too.
p.s. apologies about the late response, I have been off my channel for a while but now I am back on track :)
These videos are amazing and I am totally stoked about the new one
Thanks, I hope you'd like it :)
Thank you!!! Wish I had this videos in highschool. Looking forward to your next explanations!
Geeze, shouldn’t be this upset the next one is not ready…. Just outstanding!
Oh no!! I will try my best to release the next one as soon as possible :)
Thanks for your kind words I really appreciate it
This series is phenomenal. 🙌
Veeeeeeery welcome back, dear Tarek! :) Joy!!!
Thank you :)
I will try my best not to spend so long on 1 video 🐇🐢
having you back ist great (!!!) but shouldn't drive us to forgetting that you surely have other interests and stuff to do elsewhere. So I, as a member of your audience, just hope that it also fairly works for you. Anyway it's a sparkling thing for me seeing people here celebrating and enriching themselves through the kind of work that you do. It's my place to be thankful to you. And I truly am.
@@natal8261 Thanks for your thoughtful comment and I really appreciate your encouragement. Thank you :)
I have never watched a long video for more than 3 min ... And that too with time jump..... Waiting for your next video in series...... This is Awesome 💖💖💖💖💖💖
Such a lovely comment. It really means a lot to me. I am glad you liked the video and I hope you will like future ones. I am currently working on the next one and it will be short ;)
Great series, I really enjoyed these 3. Looking forward to the next video you eluded to!!
Thanks. I am glad you liked it and I am working hard on the upcoming one. I hope you will like it too :)
If people like you taught maths people would never hate maths. Iam a physics graduate. I really adore and enjoy the beauty of mathematics. But some times i do feel exhausted by the amount i have to study. But videos like this reminds me, why i study this subject. It reigintes that passion i have for studying. Thank you for sharing this. Please continue the series. We are waiting.❤
Thanks for the thoughtful comment. I really appreciate it. I relate to your experience. Mathematics was my favourite subject for a long time but then it started getting more and more abstract and became more about memorising rules without having any intuition behind them, and gradually I lost interest. I got the interest back when I stated reading the history of mathematics and thought of doing videos about it.
I am working on the upcoming video. I am planning to publish two together. Thanks for the encouragement, comments like yours really keep me going
This is how calculus should be taught. Motivating the question/problem, finding attempts at a solution, modifying the question, cycle repeats. Nowadays kids are just spoon-fed tricks and tools without understanding where it came from, why it's useful, and how to apply it. Your videos not only explain the topic better but also give the audience a curiosity and passion for math.
Thanks Mark, I am glad you liked the video.
I remember when we first studied calculus in school I used to always ask "why? how? what for? etc". My aim/hope in this channel is to answer those questions
I'm eager and excited to see the rest!
Thanks... I am currently working on it. It will be about the ideas and theories that eventually evolved into calculus. I hope you will like it
Excellent presentation, can't wait for the next video ❤
Thanks, I really appreciate your comment and I am working hard on the upcoming videos. I should find a way work faster and not wait so long between videos :)
Love your videos!!!
Been waiting a while for this next edition!
I hope you found it worth the wait!
Love this❤ keep it going
Absolutely terrific! Thank you!
Thanks... You are welcome :)
These videos are really helpful for me for making my presentation...Thanku Sir for putting such gd things in mind⚡
Outstanding content 👏
Amazing,,very interesting ,
Thanks, great video
You are brilliant! thank you.
Thanks! Great series so far, looking forward to the future videos 👍🏽 👌🏽.
Thanks for your support Hendrick. It really means the world to me and I deeply appreciate it. I am currently working on parts 4 and 5 and will be releasing them together. I hope you'd like them. Thanks again :)
Thanks Mr. Tarek, I loved and enjoy your contents
Thanks... I am glad you enjoy my videos :)
Very well explained, thanks a ton! You are doing a great service..
Thanks Prashant, I am glad you liked the video and I really appreciate your comment
Extremely interesting. Also marvelous speaker.
Thanks Harry, I really appreciate it
Thanks for the amazing detailed yet simple explanation!
Thanks Tamer for your continued and generous support. I really appreciate it :)
Surprising, neat presentation..
Is it possible for you to cover measure theory and Integration?? In your approach that would be a blast!!
Such a beautiful explanation. I agree on your perspective on history. Newton used euclidean geometry in his Principia. It makes it easier to understand mathemtics with a historical perspective, for example how the Hindu mathematician worked out square roots geometrically. This video is up there with 3Blue1Brown.
Thanks.. Indeed, Newton did not use calculus in his Principia, he used euclidean geometry.
I am very fascinated with the work of Indian mathematicians such as Aryabhata and Madhava and I was planning to include their work in this video but then I realised it would become too long and make the story more complicated. So I decided to do a special video about their work as it is gives a different perspective on calculus.
Thanks, 3b1b has been a massive inspiration for this channel :)
Your videos are very nice and informative , please upload more videos❤
Great videos, I can't wait for the next episode!
Thanks Lorenzo, I really appreciate it and I’m currently working on the upcoming video. I hope you’ll like it
@@tareksaid81 I look forward to it, I'm a math major and have a great passion for math history, as i also believe that studying math by following the path of discovery can offer great insight into the deeper concepts hidden behind it's equations. It's always great to see higher math explained in a historical framework, keep up the great work
@@LorenzoWTartari Thanks and I absolutely agree. I studied electrical engineering and I always had many questions about the meaning behind the equations. Another major one for me apart from calculus was linear algebra. Again history came for the rescue. This will be the upcoming series :)
Your vids are amazing!
Thanks Nila, I really appreciate it :)
Looking forward to future ones...
Thanks, the plan is not find ways not to spend so long on 1 video! I’ll try my best
@@tareksaid81 your video is worthy of your effort. Make some videos that I can show to my 7 year old son and make me think as well...
Start from scratch, go to depth, as always your strategy were... All the best.
@@debdeepmajumder9136 thanks for your kind words and I am glad you find the videos easy to follow and yet they go to depth. I really appreciate your insights :)
Wow best explanation
Thanks, I am glad you found it helpful :)
Great work! A few years back, I went through the original English translation of Euler's book on Algebra. The way he explained is to start with a very simple and easy to understand proposition, which he then builds on to a new concept through a process of iteration and expansion in a very logical and discrete steps. In a sense, his teaching flows like a mathematical dialog between the reader and the teacher each step of the way. To digress a bit, this method of exposition is akin to the way the Buddha also expounded many profound teachings. Your way of exposition of mathematical concepts is similar to Euler's.
Thank you.
Wow. Thanks a lot for such a lovely comment. I read another book by Euler: "Introduction to the Analysis of the Infinite" and I was shocked by its simplicity and ease of understanding and it was definitely an inspiration for me. I am not aware of Buddha's teaching method I am now very intrigued. Do you recommend any books? Thanks :)
THE RETURN OF THE KING!!!
ha ha... and “The journey doesn’t end here.”
Thanks!
Thanks a lot for your generous support. It really means a lot to me. Apologies about the late response, I have been off my channel for a while but now I am back on track. Seeing donations like yours really motivated me. Thanks again :)
Nice videos (all the series) please keep up.
And my brain could not stop betraying me and hearing "florette" instead of flow rate.
Haha.. I’ll work on my pronunciation;)
Thanks, I am glad you liked it
@@tareksaid81 Your pronunciation is impeccable. I'm not native to English and there are words I'd need to pay special attention to get right.
Amazing video. Love the style and clarity. You definitely inspired me to come up with new interesting problems for introductory physics courses I teach. Just out of curiosity, what is 'formal' educational background? What other things do you do apart from YT?
Thanks, I’m really glad you liked the video and that it has inspired you :)
My formal education is electrical engineering and then philosophy!
I worked as an engineer for a while but as much as I liked studying engineering, as much as I found working as an engineer repetitive. So I quit my job, studied philosophy and now I run a public speaking training business. I found making UA-cam videos the perfect avenue for my passion in mathematics/ideas and communication
@@tareksaid81 Hah, had quite similar education myself. Studied Enginnering Science at Oxford, then I self-studied philosophy.
Honestly, I asked about your things outside YT because I thought "oh, his hand gestures, he must have had lot's of experience in public speaking". I had a big grin when saw your comment about your business. So happy you found a place to realise your passion. So did I.
@@Lukasz.Skowron oh wow, that's great... engineering and philosophy = the best combination ;)
Haha, interesting observation!!
I am glad you found it too and I am looking forward to seeing your channel
@@tareksaid81 See the next comment please :)
@@tareksaid81 Hello Tarek!
Speaking of engineering and philosophy you can now watch the channel trailer of my channel.
The videos have been translated manually to English.
My channel is called: Prometheuses🔥tangible science.
www.youtube.com/@prometeusze
I look forward to learning about arithmetic quadrature next time.
Sure, it will actually be discussed in the upcoming video. I hope you will like it
The concept of infinitesimal is mind boggling and of limits too is not according to the mathematical rigor but who cares when you can reach to the moon and beyond... an interesting presentation and I would like the students to watch it and get a "feel" of how the things develop.
It absolutely is and hence the reason it was rejected later. However it was introduced again by Abraham Robinson in the 20th century (a topic for another video)
Thanks, I am glad you liked the video :)
Waiting eagerly@@tareksaid81
No coincidence that Kepler used infinitesimals on a book about wine barrels. That looks like the kind of breakthrough someone would come up after consuming a few of those.
ha ha.. good one ;)
I salute you ❤❤❤❤❤👍👍👍🙏🙏🙏🙏
THanks Jitendra :)
Would love to see you do a piece on the history of statistics.
Sounds like a good idea to add to the list 👍
I hope the next video will come out soon
I am working on it. The very next one will be very short, 5 mins, and I am thinking of perhaps waiting till I finish the one after and release them together. Won't be long :)
Well come back Sir ✨
Sir, what software do you use to make these videos?
Thanks :)
In the first 3 videos I used PowerPoint. In this one I used a mix of PowerPoint and After Effects
waiting for next video
Coming soon. Will be releasing parts 4 and 5 together as part 4 will be a short transitional one
nice nice nice nice channel!
Ha ha… thanks 😊😊😊😊
The first person to discover the heliocentric system was the Greek Aristarchus of Samos in the 3rd century BC. Copernicus and Galileo were 2,000 years after Aristarchus
That's true. I would say though that he suggested rather than discovered the heliocentric model as at the time there was no way to prove or disprove it
I have been waiting 8 months. In the meantime I even started my own YT channel haha. Starting watching :)
Haha… I know it’s been a while, I have to find ways to do things quicker.
That’s really great. What’s the name of your channel? I am assuming it is about physics based on your other comment?
@@tareksaid81 Yes, it is about physics, maths and philosophy of science. I am currently creating English subtitles for the videos, so I will be honored if you check it out. I will comment here when subtitles are done.
@@Lukasz.SkowronThat would be great, the honour is mine, I am really looking forward to it
Please do you have a course or something that way on skillshare
I would like to learn more 🙏
Thanks, I will definitely consider it in the future :)
Make the next one I’m so eager😢
I am working on it. Message like yours motivate me. Thanks a lot :)
When a steam boiler is producing 1.389 pounds of steam per second, how much steam is in the water of that boiler in any one instant of time?
I discovered your channel yesterday. 😂
Nice :)
After years of thinking I got a decent HS math education I see this and now feel cheated, again. I had the same feeling some years ago when I learned about mental math. And then even more so in 2022 when I learned the abacus and was adding faster than a calculator. Oh the time wasted with the official right-to-left plodding. Affordable electronoic calculators were not availble until after I graduated high school. In 1975 I paid $75 ( on sale half off!) which is $467 in today's dollars for a calculator with math and trig functions. A HP calculator was about $3,000 adjusted for inflation.
I believe that the education system is designed just to get students by. I noticed that all my deep understanding of various topics occurred outside school when I did my own research and wasn't limited by time or by exam scores
Please second time explain x and y or cartesian plane why minus and negative corsider them
I am not sure I full understand you comment. Do you mean that I should have explained the cartesian plane more?
@tareksaid81 yes why it has four sides2 negative sides and 2 positive sides according to to y and x
+y, -y,
+x. -×.
Why
It might be difficult to explain via a comment but I’ll try.
Originally there was only one quadrant. The positive one, or the top right one.
But when negative numbers were considered, the number lines were extended to include negative numbers too. So the X axis was extended to the left, and the Y axis was extended to the bottom. Thus, we now consider 4 quadrants. I hope that helps :)
I have a question for you. Could you imagine studying the history of mathematics without knowing the mathematics about which you are studying? Oh ... by the way, this was an excellent video.
Hmmm... I am not sure really. I would say that it would be like reading poetry translated to a different language, we would still get the essence of it, but we won't fully comprehend its beauty and nuances
@@tareksaid81 The reason I asked is that the history of technology is not typically studied by engineers or technologists. It's studied by historians with little or no technical training - just the ability to read what others have written. In several cases it's not the nuances they are missing. They've got it entirely wrong. Many thanks for your reply.
@@robertbarnett3980 Interesting. I didn't know that. I do believe that such topics are better studied by technical people. I do understand however how technical people might be more interested in the tech itself instead of its history
Waaaaaaaah! When is the next video?!😫
I am working on it constantly. I will be releasing videos 4 and 5 of the series together. I hope you would like them
Distance is not an area.
these are crazy
isnt more accurate to say mass instead of weight? at 14:21
Yes, indeed, you are right. To keep things more intuitive, I used the colloquial meaning of weight, not the scientific one. To be more scientific though, the term mass is more accurate
When fourth part 🥹🥹
I know it is been too long :( I am working on parts 4 and 5 and will publish them together as part 4 is going to be very short
Why did you stop making the videos? You will fulfill your goal of 100,000 viewership only with persistence and consistency. You have already taken the first steps to climb the mountain; please keep climbing. I assume it took you many hours of persistence and consistent practices to achieve your command on mathematics. The same goes for your success in UA-cam viewership.
You are totally right. I have to keep making videos and be consistent to reach any goal. I haven't stopped planning and thinking about the videos. It just takes a lot of focus and time. Things I find very rarely nowadays particularly as I run my own business. Thanks for the encouragement though. I am currently working on parts 4 and 5 together and will publish them asap. I hope you will like them
It has been 8 months since you released this video. I think you have given up on UA-cam as a means of communicating with an appropriate audience.
It is a great pity, because your presentation is outstanding.
I know it has been a very long time. I am trying my best to not leave such long gaps between my videos! The good news is that I haven't given up at all. I think about and plan the upcoming videos all the time. It just takes a lot of focus and time. Things I find very rarely nowadays particularly as I run my own business. Thanks for the kind words. I am currently working on parts 4 and 5 together and will publish them asap. I hope you will like them :)
@@tareksaid81
Glad to know that it's just a matter of time.
I suppose the good things in life are worth waiting for 😊
GREATIST NEWS I GOT ALL DAY.
@@user-om1fe5uo4k This is really encouraging. Thanks :)
The first minute of this video is incorrect. There were enough Indian mathematicians who develops rules of calculus at least 3 times and a 1000 years before Newton and Leibniz.
Who were the top Indian calculus people?
Indian mathematicians, particularly Aryabhata and mathematicians in Kerala school of mathematics, have indeed done amazing work which can be thought of as a predecessor to calculus. However, they were interested in studying functions and not curves. Also, their calculus was more about analysing specific functions like sine(x) and cos(x) but it wasn't generalisable which meant that it could not be extended to other functions. Still it was an amazing work and I will be talking about their calculus in a later video in the series
From your argument it can be inferred that it was Keppler who overthrew the geocentric, Ptolemaic system of planetary motion, which is obviously not true. Keppler discovered the 3 laws of planetary motion (elliptical orbit). You used too much of a mental shortcut to go from the ancient system of planetary motion to Keppler's laws of motion. There would be no Kepler without Copernicus, who refuted the ancient system of planetary motion in the solar system.
I did mention in the video that Kepler was a "Copernican". And while it is true that Copernicus was the first to suggest the heliocentric model of the solar system in modern times (it was earlier suggest by Aristachus of Samos in the 3rd century BC), his model wasn't widely accepted until the discoveries of Kepler.
Since the video is about the history of studying curves and not about the history of the solar system, I couldn't go into all the details of the evolution of our understanding of the solar system
@@tareksaid81 yeah, let's not take shortcuts by using superficially discoveries to describe other discoveries and theories. The work that Copernicus did was unimaginable even by today's intellectual standards, or perhaps especially so. It was not only about the solar system as it is, Copernicus was able to initially understand the size of the Universe. Copernicus was a genius without whom there would be no general relativity and many other brilliant things, and Tycho Brahe was a lost scientist trying to merge geocentric with heliocentric theories. Kepler did some fine tuning of theories for sure. Anyway, good luck with your YT channel.
i have rewatched them all like 3 times man!!
Oh wow. I am really glad you liked them. Thanks for sharing :)