Derivation of Newton's Forward Difference Formula for Function Interpolation & Excel Implementation скачать в хорошем качестве

Derivation of Newton's Forward Difference Formula for Function Interpolation & Excel Implementation

Newton's Forward Difference formula for function interpolation can be derived from the Newton polynomial expansion and divided differences. In the case where there are n+1 equally spaced nodes x0, x1, x2, ..., xn ordered from least to greatest with step size n, we can ultimately write Newton's Forward Difference formula using generalized binomial coefficients and powers of the forward difference operator Δ (delta). Newton's Forward Difference formula can then be implemented in a spreadsheet like Excel. 🔴 Burden, Faires, Burden "Numerical Analysis": https://amzn.to/3DBvCWn Numerical Analysis, Class 15B #NumericalAnalysis #NumericalMethods #interpolation #FunctionInterpolation #newton Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter:   / billkinneymath   🔴 Follow me on Instagram:   / billkinneymath   🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ 🔴 Desiring God website: https://www.desiringgod.org/ AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.