How Newton discovered Taylor series (but didn't tell anyone)
In this video we explore the independent discovery of Taylor series by Isaac Newton and the manuscript which "never left Newtons hands".
Chapters
0:00 - Introduction
01:55 - James Gregory's discovery
04:22 - Isaac Newton's discovery
06:23 - Outro
In-video References:
1. Meijering, E., 2002. A chronology of interpolation: from ancient astronomy to modern signal and image processing. Proceedings of the IEEE, 90(3), pp.319-342.
2. Feigenbaum, L., 1985. Brook Taylor and the method of increments. Archive for history of exact sciences, 34(1), pp.1-140.
FAQ : How do you make these animations?
Animations are mostly made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). For some of the more complex animations, I use the Manim library. Editing and voiceover work in DaVinci Resolve.
Supporting the Channel.
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https://www.buymeacoffee.com/DrWillWood
Thank you so much, I hope you find the content useful.
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