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26C: Polynomials, rational functions


Introduction

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.

History

Applications and related fields

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

Subfields

Parent field: 26: Real Functions.

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Software and tables

Single polynomial equations software

Other web sites with this focus

Selected topics at this site


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Last modified 2000/01/14 by Dave Rusin. Mail: