Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
differentiable functions
|
| gptkbp:category |
theorems in calculus
theorems in mathematical analysis |
| gptkbp:describes |
approximation of functions by polynomials
|
| gptkbp:field |
mathematical analysis
|
| gptkbp:firstPublished |
1715
|
| gptkbp:generalizes |
gptkb:Maclaurin's_theorem
|
| gptkbp:hasComponent |
Taylor polynomial
remainder term |
| https://www.w3.org/2000/01/rdf-schema#label |
Taylor's theorem
|
| gptkbp:namedAfter |
gptkb:Brook_Taylor
|
| gptkbp:provides |
gptkb:Taylor_series_expansion
|
| gptkbp:relatedTo |
Lagrange form of the remainder
Cauchy form of the remainder Peano form of the remainder |
| gptkbp:state |
A function can be approximated by a Taylor polynomial plus a remainder term
|
| gptkbp:usedIn |
calculus
engineering numerical analysis physics |
| gptkbp:bfsParent |
gptkb:Mean_value_theorem
gptkb:Itô's_lemma gptkb:Brook_Taylor gptkb:Hadamard's_lemma gptkb:John_Taylor_(mathematician) gptkb:L'Hospital's_rule |
| gptkbp:bfsLayer |
7
|