| 释义 |
- Terminology
- Basics Elementary abstract algebra
- Theory of equations
- Calculus with polynomials
- Polynomial interpolation
- Weierstrass approximation theorem
- Linear algebra
- Named polynomials and polynomial sequences
- Knot polynomials
- Algorithms
This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics. Terminology - Degree: The maximum exponents among the monomials.
- Factor: An expression being multiplied.
- Linear factor: A factor of degree one.
- Coefficient: An expression multiplying one of the monomials of the polynomial.
- Root (or zero) of a polynomial: Given a polynomial p(x), the x values that satisfy p(x) = 0 are called roots (or zeroes) of the polynomial p.
- Graphing
- End behaviour –
- Concavity –
- Orientation –
- Tangency point –
- Inflection point – Point where concavity changes.
Basics - Polynomial
- Coefficient
- Monomial
- Polynomial long division
- Synthetic division
- Polynomial factorization
- Rational function
- Partial fraction
- Partial fraction decomposition over R
- Vieta's formulas
- Integer-valued polynomial
- Algebraic equation
- Factor theorem
- Polynomial remainder theorem
Elementary abstract algebra See also Theory of equations below. - Polynomial ring
- Greatest common divisior of two polynomials
- Symmetric function
- Homogeneous polynomial
- Polynomial SOS (sum of squares)
Theory of equations- Polynomial family
- Quadratic function
- Cubic function
- Quartic function
- Quintic function
- Sextic function
- Septic function
- Octic function
- Completing the square
- Abel–Ruffini theorem
- Bring radical
- Binomial theorem
- Blossom (functional)
- Root of a function
- nth root (radical)
- 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
- Fundamental theorem of algebra
- Hurwitz polynomial
- Tschirnhaus transformation
- Galois theory
- Discriminant of a polynomial
- Elimination theory
- Gröbner basis
- Regular chain
- Triangular decomposition
- Sturm's theorem
- Descartes' rule of signs
- Carlitz–Wan conjecture
Calculus with polynomials- Delta operator
- Bernstein–Sato polynomial
Polynomial interpolation- Lagrange polynomial
- Runge's phenomenon
- Spline (mathematics)
Weierstrass approximation theoremLinear algebra- Characteristic polynomial
- Minimal polynomial
- Invariant polynomial
Named polynomials and polynomial sequences- Abel polynomials
- Additive polynomials
- All one polynomials
- Appell sequence
- Askey–Wilson polynomials
- Bell polynomials
- Bernoulli polynomials
- Bernstein polynomial
- Bessel polynomials
- Binomial type
- Caloric polynomial
- Charlier polynomials
- Chebyshev polynomials
- Chihara–Ismail polynomials
- Cyclotomic polynomials
- Dickson polynomial
- Ehrhart polynomial
- Exponential polynomials
- Favard's theorem
- Fibonacci polynomials
- Gegenbauer polynomials
- Hahn polynomials
- Hall–Littlewood polynomials
- Heat polynomial — see caloric polynomial
- Heckman–Opdam polynomials
- Hermite polynomials
- Hurwitz polynomial
- Jack function
- Jacobi polynomials
- Koornwinder polynomials
- Kostka polynomial
- Kravchuk polynomials
- Laguerre polynomials
- Laurent polynomial
- Linearised polynomial
- Littlewood polynomial
- Legendre polynomials
- Associated Legendre polynomials
- Lucas polynomials
- Macdonald polynomials
- Meixner polynomials
- Necklace polynomial
- Newton polynomial
- Orthogonal polynomials
- Orthogonal polynomials on the unit circle
- Permutation polynomial
- Racah polynomials
- Rogers polynomials
- Rogers–Szegő polynomials
- Rook polynomial
- Schur polynomials
- Shapiro polynomials
- Sheffer sequence
- Spread polynomials
- Tricomi–Carlitz polynomials
- Touchard polynomials
- Wilkinson's polynomial
- Wilson polynomials
- Zernike polynomials
- Pseudo-Zernike polynomials
Knot polynomials- Alexander polynomial
- HOMFLY polynomial
- Jones polynomial
Algorithms- Karatsuba multiplication
- Lenstra–Lenstra–Lovász lattice basis reduction algorithm (for polynomial factorization)
- Lindsey–Fox algorithm
- Schönhage–Strassen algorithm
{{DEFAULTSORT:List Of Polynomial Topics}} 2 : Mathematics-related lists|Polynomials |