Taylor series

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo analytic functions
gptkbp:convergesTo function value (under certain conditions)
gptkbp:describes representation of functions as infinite sums of derivatives
gptkbp:field mathematical analysis
gptkbp:firstPublished 1715
gptkbp:hasApplication gptkb:perturbation_theory
solving differential equations
asymptotic analysis
approximating transcendental functions
error estimation
gptkbp:hasComponent derivatives at a point
gptkbp:hasGeneralForm f(x) = Σ (f⁽ⁿ⁾(a)/n!) (x-a)ⁿ
gptkbp:hasSpecialCase gptkb:Maclaurin_series
https://www.w3.org/2000/01/rdf-schema#label Taylor series
gptkbp:namedAfter gptkb:Brook_Taylor
gptkbp:relatedTo gptkb:Maclaurin_series
gptkb:Laurent_series
Fourier series
power series
gptkbp:usedFor function approximation
gptkbp:usedIn calculus
computer science
engineering
numerical analysis
physics
gptkbp:bfsParent gptkb:Maclaurin_series
gptkb:Differential_Calculus
gptkbp:bfsLayer 5