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Newton Interpolation and Divided Differences

In this video, we introduce the Newton Interpolation method and Divided Differences. We start with the general concept, then the recurrence relation and the divided difference table. Finally, we run through a quick example in order to understand how the method is used in practice. Chapters 0:00 - Introduction 05:40 - The Recurrence Relation 10:56 - The Divide Difference Table 12:48 - Example Errata and Clarifications: at 9:00, the numerator should read (x_k - x_0)qn(x_k) + (x_n+1 - x_k)pn(x_k) The product links below are Amazon affiliate links. If you buy certain products on Amazon soon after clicking them, I may receive a commission. The price is the same for you, but it does help to support the channel :-) In-video References: 1. "Applied Numerical Methods with MatLab" by Steven C. Chapra -https://amzn.to/3quGfE1 2. "Approximation Theory and Methods" by M.J.D. Powell - https://amzn.to/3JazCy6 FAQ : How do you make these animations? Animations are made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). Editing and voiceover work in DaVinci Resolve. Supporting the Channel. If you would like to support me in making free mathematics tutorials then you can make a small donation over at https://www.buymeacoffee.com/DrWillWood Thank you so much, I hope you find the content useful.