26C: Polynomials, rational functions
This page is reserved for the analytic study of polynomial functions. A great deal of information is available concerning the algebraic nature of polynomials, particularly those with integral (or rational) coefficients; this material is most in the section on Field Extensions; there is, there, a short guide to the placement of polynomial information across the Math Subject Classifications.
Comments about roots of polynomials (for example) which apply to more general functions than polynomials are considered with real functions. The use of polynomials for interpolation. The computational process of finding the roots is a task of numerical analysis. Families of orthogonal polynomials (e.g. Legendre polynomials) are treated as part of special functions and Fourier analysis
Parent field: 26: Real Functions.
Browse all (old) classifications for this area at the AMS.