Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In numerical analysis, Hermite interpolation, named after Charles Hermite, is a method of interpolating data points as a polynomial function. The generated Hermite polynomial is closely related to the Newton polynomial in that both are derived from the calculation of divided differences. Unlike Newton interpolation, Hermite interpolation matches data points in both value and first derivative. The resulting polynomial may have degree at most 2n âˆ’ 1, whereas the Newton polynomial has maximum degree n âˆ’ 1.