A Programmatic Approach to Arithmetic

Eating the gap ovf Functional Equations and Polynomials in mathematical olympiads.

Open research project on polynomial interpolation and approximation

On the link between binomial theorem and discrete convolution

This manuscript provides another approach to get derivative of odd-power, that is approach based on partial derivatives of polynomial function

Polynomial identity involving Binomial Theorem and Faulhaber's formula

Finding roots of polynomials.

Polynomial identities involving Pascal's triangle rows

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.

math from UCSB/Annapolis era