List of polynomial topics

From Wikipedia, the free encyclopedia

This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.

Contents 1 Basics 2 Theory of equations 3 Calculus with polynomials 4 Polynomial interpolation 5 Weierstrass approximation theorem 6 Linear algebra 7 Named polynomials and polynomial sequences 8 Knot polynomials

[edit] Basics

• Polynomial
• Polynomial ring
• Coefficient
• Greatest common divisior of two polynomials
• Monomial
• Polynomial long division
• Polynomial factorization
• Rational function
• Partial fraction
  • Partial fraction decomposition over R
• Viète's formulas
• Symmetric function
• Integer-valued polynomial
• Algebraic equation

[edit] Theory of equations

• Binomial theorem
• Root (mathematics)
• Radical (mathematics)
  • Surd
  • Square root
  • Methods_of_computing_square_roots
  • Cube root
  • Root of unity
  • Constructible number
  • Complex conjugate root theorem
• Algebraic element
• Horner scheme
• Rational root theorem
• Gauss's lemma (polynomial)
• Irreducible polynomial
  • Eisenstein's criterion
  • Primitive polynomial
• Quadratic equation
  • Completing the square
• Cubic function
• Quartic function
• Quintic equation
  • Abel-Ruffini theorem
  • Quintic function
  • Bring radical
• Sextic equation
• Fundamental theorem of algebra
• Hurwitz polynomial
• Tschirnhaus transformation
• Galois theory
• Discriminant of a polynomial
  • Resultant
• Elimination theory
  • Gröbner basis

[edit] Calculus with polynomials

• Delta operator
• Bernstein-Sato polynomial

[edit] Polynomial interpolation

• Lagrange polynomial
• Runge's phenomenon

[edit] Weierstrass approximation theorem

• Bernstein polynomial

[edit] Linear algebra

• Characteristic polynomial
• Minimal polynomial
• Invariant polynomial

[edit] Named polynomials and polynomial sequences

• Additive polynomials
• Appell sequence
• Bell polynomials
• Bernoulli polynomials
• Binomial type
• Chebyshev polynomials
• Ehrhart polynomial
• Fibonacci polynomials
• Hermite polynomials
• Laguerre polynomials
• Legendre polynomials
  • Spherical harmonic
• Newton polynomial
• Orthogonal polynomials
• Schur polynomials
• Sheffer sequence
• Touchard polynomials
• Wilkinson's polynomial

[edit] Knot polynomials

• Alexander polynomial
• HOMFLY polynomial
• Jones polynomial