This is the first part of a series about the history of calculus. I wanted with this video to build a general overview of calculus by answering three main questions:

1. (0:26) What is calculus?
2. (2:50) Why do we need it?
3. (4:03) How does it work?

I tried to stay in this video on a very high level without digging much into mathematics as we are just starting :) I hope you find it helpful and you get something out of it.

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List of videos in the series:

1. Calculus in a Nutshell
2. Integration in Ancient Times
3. The Fall and Rise of Geometry
4. Integration in the 17th Century
5. Differentiation in India and in the 17th Century Europe
6. Isaac Newton
7. Leibniz and his Notation
8. History of Applications of Calculus
9. Euler and the Bernoulli Brothers
10. The 19th Century Tackling the Problem of Infinitesimals
11. The 20th Century Non Standard Analysis

I know it's been a while since I published my first video but this time it won't take me long to publish other videos in the series. In the last 6 months I was researching the history of calculus and developing the story for the series. But now that this has been out of the way I promise that I will be publishing the videos much quicker.

Thanks a lot for your support

Main References:

The Historical Development of the Calculus ~ C.H.Edwards, Jr
The Origins of the Infinitesimals Calculus ~ Margaret E. Baron
The History of Calculus and its Conceptual Development ~ Carl B. Boyer
Infinite Powers ~ Steven Strogatz
Calculus Reordered ~ David M. Bressoud